%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV192+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:21:02 PM UTC 2026
% Result : Theorem 0.70s 1.61s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_93)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0003,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n2)
& leq(X18,pred(pv5)) )
=> a_select3(u_defuse,X14,X18) = use )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,pred(pv5)) )
=> a_select3(z_defuse,X4,X20) = use ) )
=> ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n2)
& leq(X22,pred(pv5)) )
=> ( ( ~ ( n0 = X21
& pv5 = X22 )
& ~ ( n1 = X21
& pv5 = X22 )
& ~ ( n2 = X21
& pv5 = X22 ) )
=> a_select3(u_defuse,X21,X22) = use ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0003) ).
fof(matrix_symm_joseph_update,axiom,
! [X14,X18,X4,X20,X21,X22,X15,X19] :
( ( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X19)
& leq(n0,X11)
& leq(X11,X19) )
=> a_select3(X20,X5,X11) = a_select3(X20,X11,X5) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X22,X5,X11) = a_select3(X22,X11,X5) ) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_madd(X14,tptp_mmul(X18,tptp_mmul(tptp_madd(tptp_mmul(X4,tptp_mmul(X20,trans(X4))),tptp_mmul(X21,tptp_mmul(X22,trans(X21)))),trans(X18)))),X5,X11) = a_select3(tptp_madd(X14,tptp_mmul(X18,tptp_mmul(tptp_madd(tptp_mmul(X4,tptp_mmul(X20,trans(X4))),tptp_mmul(X21,tptp_mmul(X22,trans(X21)))),trans(X18)))),X11,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',matrix_symm_joseph_update) ).
fof(succ_plus_5_l,axiom,
! [X1] : plus(n5,X1) = succ(succ(succ(succ(succ(X1))))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_5_l) ).
fof(succ_plus_1_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(succ_plus_5_r,axiom,
! [X1] : plus(X1,n5) = succ(succ(succ(succ(succ(X1))))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_5_r) ).
fof(succ_plus_4_l,axiom,
! [X1] : plus(n4,X1) = succ(succ(succ(succ(X1)))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_4_l) ).
fof(succ_plus_4_r,axiom,
! [X1] : plus(X1,n4) = succ(succ(succ(succ(X1)))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_4_r) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(leq_succ_succ,axiom,
! [X1,X2] :
( leq(succ(X1),succ(X2))
<=> leq(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_succ) ).
fof(succ_plus_3_l,axiom,
! [X1] : plus(n3,X1) = succ(succ(succ(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_3_l) ).
fof(succ_plus_3_r,axiom,
! [X1] : plus(X1,n3) = succ(succ(succ(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_3_r) ).
fof(leq_succ_gt_equiv,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> gt(succ(X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).
fof(leq_succ_gt,axiom,
! [X1,X2] :
( leq(succ(X1),X2)
=> gt(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt) ).
fof(leq_gt_pred,axiom,
! [X1,X2] :
( leq(X1,pred(X2))
<=> gt(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
fof(leq_succ,axiom,
! [X1,X2] :
( leq(X1,X2)
=> leq(X1,succ(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ) ).
fof(succ_plus_2_l,axiom,
! [X1] : plus(n2,X1) = succ(succ(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_2_l) ).
fof(succ_plus_2_r,axiom,
! [X1] : plus(X1,n2) = succ(succ(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_2_r) ).
fof(gt_succ,axiom,
! [X1] : gt(succ(X1),X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',gt_succ) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(succ_pred,axiom,
! [X1] : succ(pred(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_pred) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(irreflexivity_gt,axiom,
! [X1] : ~ gt(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(sel3_update_3,axiom,
! [X5,X11,X7,X24,X1,X17] :
( ( ! [X26,X27] :
( ( leq(n0,X26)
& leq(n0,X27)
& leq(X26,X7)
& leq(X27,X24) )
=> a_select3(X1,X26,X27) = X17 )
& leq(n0,X5)
& leq(X5,X7)
& leq(n0,X11)
& leq(X11,X24) )
=> a_select3(tptp_update3(X1,X7,X24,X17),X5,X11) = X17 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel3_update_3) ).
fof(matrix_symm_sub,axiom,
! [X14,X18,X15] :
( ( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X18,X5,X11) = a_select3(X18,X11,X5) ) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_msub(X14,X18),X5,X11) = a_select3(tptp_msub(X14,X18),X11,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',matrix_symm_sub) ).
fof(matrix_symm_add,axiom,
! [X14,X18,X15] :
( ( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X18,X5,X11) = a_select3(X18,X11,X5) ) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_madd(X14,X18),X5,X11) = a_select3(tptp_madd(X14,X18),X11,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',matrix_symm_add) ).
fof(matrix_symm_update_diagonal,axiom,
! [X14,X15] :
( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
=> ! [X5,X11,X16,X17] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15)
& leq(n0,X16)
& leq(X16,X15) )
=> a_select3(tptp_update3(X14,X16,X16,X17),X5,X11) = a_select3(tptp_update3(X14,X16,X16,X17),X11,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',matrix_symm_update_diagonal) ).
fof(matrix_symm_aba1,axiom,
! [X14,X18,X15] :
( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X18,X5,X11) = a_select3(X18,X11,X5) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_mmul(X14,tptp_mmul(X18,trans(X14))),X5,X11) = a_select3(tptp_mmul(X14,tptp_mmul(X18,trans(X14))),X11,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',matrix_symm_aba1) ).
fof(matrix_symm_aba2,axiom,
! [X14,X18,X15,X19] :
( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X19)
& leq(n0,X11)
& leq(X11,X19) )
=> a_select3(X18,X5,X11) = a_select3(X18,X11,X5) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_mmul(X14,tptp_mmul(X18,trans(X14))),X5,X11) = a_select3(tptp_mmul(X14,tptp_mmul(X18,trans(X14))),X11,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',matrix_symm_aba2) ).
fof(sel2_update_3,axiom,
! [X5,X7,X1,X17] :
( ( ! [X26] :
( ( leq(n0,X26)
& leq(X26,X7) )
=> a_select2(X1,X26) = X17 )
& leq(n0,X5)
& leq(X5,X7) )
=> a_select2(tptp_update2(X1,X7,X17),X5) = X17 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_3) ).
fof(sel3_update_2,axiom,
! [X5,X11,X7,X24,X1,X17,X25] :
( ( X5 != X7
& X11 = X24
& a_select3(X1,X7,X24) = X17 )
=> a_select3(tptp_update3(X1,X5,X11,X25),X7,X24) = X17 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel3_update_2) ).
fof(sel3_update_1,axiom,
! [X1,X7,X24,X17] : a_select3(tptp_update3(X1,X7,X24,X17),X7,X24) = X17,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel3_update_1) ).
fof(matrix_symm_inv,axiom,
! [X14,X15] :
( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(inv(X14),X5,X11) = a_select3(inv(X14),X11,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',matrix_symm_inv) ).
fof(matrix_symm_trans,axiom,
! [X14,X15] :
( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(trans(X14),X5,X11) = a_select3(trans(X14),X11,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',matrix_symm_trans) ).
fof(const_array2_select,axiom,
! [X5,X9,X10,X11,X12,X13,X8] :
( ( leq(X9,X5)
& leq(X5,X10)
& leq(X12,X11)
& leq(X11,X13) )
=> a_select3(tptp_const_array2(dim(X9,X10),dim(X12,X13),X8),X5,X11) = X8 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',const_array2_select) ).
fof(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_5) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_4) ).
fof(sel2_update_2,axiom,
! [X5,X7,X1,X17,X25] :
( ( X5 != X7
& a_select2(X1,X7) = X17 )
=> a_select2(tptp_update2(X1,X5,X25),X7) = X17 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).
fof(const_array1_select,axiom,
! [X5,X6,X7,X8] :
( ( leq(X6,X5)
& leq(X5,X7) )
=> a_select2(tptp_const_array1(dim(X6,X7),X8),X5) = X8 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',const_array1_select) ).
fof(sel2_update_1,axiom,
! [X1,X7,X17] : a_select2(tptp_update2(X1,X7,X17),X7) = X17,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).
fof(leq_minus,axiom,
! [X1,X2] :
( leq(minus(X1,X2),X1)
=> leq(n0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_minus) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
fof(uniform_int_rand_ranges_hi,axiom,
! [X1,X4] :
( leq(n0,X1)
=> leq(uniform_int_rnd(X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',uniform_int_rand_ranges_hi) ).
fof(transitivity_leq,axiom,
! [X1,X2,X3] :
( ( leq(X1,X2)
& leq(X2,X3) )
=> leq(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).
fof(transitivity_gt,axiom,
! [X1,X2,X3] :
( ( gt(X1,X2)
& gt(X2,X3) )
=> gt(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_gt) ).
fof(uniform_int_rand_ranges_lo,axiom,
! [X1,X4] :
( leq(n0,X1)
=> leq(n0,uniform_int_rnd(X4,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',uniform_int_rand_ranges_lo) ).
fof(sum_plus_base,axiom,
! [X23] : sum(n0,tptp_minus_1,X23) = n0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sum_plus_base) ).
fof(sum_plus_base_float,axiom,
! [X23] : tptp_float_0_0 = sum(n0,tptp_minus_1,X23),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sum_plus_base_float) ).
fof(finite_domain_5,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n5) )
=> ( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4
| X1 = n5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_5) ).
fof(finite_domain_4,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> ( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_4) ).
fof(finite_domain_3,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n3) )
=> ( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_3) ).
fof(finite_domain_2,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n2) )
=> ( X1 = n0
| X1 = n1
| X1 = n2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_2) ).
fof(finite_domain_1,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n1) )
=> ( X1 = n0
| X1 = n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_1) ).
fof(finite_domain_0,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n0) )
=> X1 = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
fof(leq_gt2,axiom,
! [X1,X2] :
( ( leq(X1,X2)
& X1 != X2 )
=> gt(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).
fof(leq_geq,axiom,
! [X1,X2] :
( geq(X1,X2)
<=> leq(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_geq) ).
fof(lt_gt,axiom,
! [X1,X2] :
( lt(X1,X2)
<=> gt(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',lt_gt) ).
fof(leq_gt1,axiom,
! [X1,X2] :
( gt(X2,X1)
=> leq(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).
fof(successor_2,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
fof(totality,axiom,
! [X1,X2] :
( gt(X1,X2)
| gt(X2,X1)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',totality) ).
fof(reflexivity_leq,axiom,
! [X1] : leq(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
fof(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(gt_998_5,axiom,
gt(n998,n5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_998_5) ).
fof(gt_998_4,axiom,
gt(n998,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_998_4) ).
fof(gt_998_3,axiom,
gt(n998,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_998_3) ).
fof(gt_998_2,axiom,
gt(n998,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_998_2) ).
fof(gt_998_1,axiom,
gt(n998,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_998_1) ).
fof(gt_998_tptp_minus_1,axiom,
gt(n998,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_998_tptp_minus_1) ).
fof(gt_998_0,axiom,
gt(n998,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_998_0) ).
fof(gt_5_4,axiom,
gt(n5,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_4) ).
fof(gt_5_3,axiom,
gt(n5,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_3) ).
fof(gt_5_2,axiom,
gt(n5,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_2) ).
fof(gt_5_1,axiom,
gt(n5,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_1) ).
fof(gt_5_tptp_minus_1,axiom,
gt(n5,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_tptp_minus_1) ).
fof(gt_5_0,axiom,
gt(n5,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_0) ).
fof(gt_4_3,axiom,
gt(n4,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_3) ).
fof(gt_4_2,axiom,
gt(n4,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_2) ).
fof(gt_4_1,axiom,
gt(n4,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_1) ).
fof(gt_4_tptp_minus_1,axiom,
gt(n4,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_tptp_minus_1) ).
fof(gt_4_0,axiom,
gt(n4,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_0) ).
fof(gt_3_2,axiom,
gt(n3,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_2) ).
fof(gt_3_1,axiom,
gt(n3,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_1) ).
fof(gt_3_tptp_minus_1,axiom,
gt(n3,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_tptp_minus_1) ).
fof(gt_3_0,axiom,
gt(n3,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_0) ).
fof(gt_2_1,axiom,
gt(n2,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_1) ).
fof(gt_2_tptp_minus_1,axiom,
gt(n2,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_tptp_minus_1) ).
fof(gt_2_0,axiom,
gt(n2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_0) ).
fof(gt_1_tptp_minus_1,axiom,
gt(n1,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_tptp_minus_1) ).
fof(gt_1_0,axiom,
gt(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_1_0) ).
fof(gt_0_tptp_minus_1,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_0_tptp_minus_1) ).
fof(defuse,axiom,
def != use,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',defuse) ).
fof(ttrue,axiom,
true,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',ttrue) ).
fof(i_0_92,plain,
( epred2_0
<=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n2)
& leq(X18,pred(pv5)) )
=> a_select3(u_defuse,X14,X18) = use )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,pred(pv5)) )
=> a_select3(z_defuse,X4,X20) = use ) ) ),
introduced(definition) ).
fof(i_0_93,plain,
! [X20,X19,X15,X14] :
( epred1_4(X14,X15,X19,X20)
<=> ( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X19)
& leq(n0,X11)
& leq(X11,X19) )
=> a_select3(X20,X5,X11) = a_select3(X20,X11,X5) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) ) ) ),
introduced(definition) ).
fof(i_0_94,plain,
( epred2_0
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n2)
& leq(X18,pred(pv5)) )
=> a_select3(u_defuse,X14,X18) = use )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,pred(pv5)) )
=> a_select3(z_defuse,X4,X20) = use ) ) ),
inference(split_equiv,[status(thm)],[i_0_92]) ).
fof(i_0_95,negated_conjecture,
~ ( epred2_0
=> ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n2)
& leq(X22,pred(pv5)) )
=> ( ( ~ ( n0 = X21
& pv5 = X22 )
& ~ ( n1 = X21
& pv5 = X22 )
& ~ ( n2 = X21
& pv5 = X22 ) )
=> a_select3(u_defuse,X21,X22) = use ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0003]),c_0_92]) ).
fof(i_0_96,axiom,
! [X14,X18,X4,X20,X21,X22,X15,X19] :
( ( epred1_4(X14,X15,X19,X20)
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X22,X5,X11) = a_select3(X22,X11,X5) ) )
=> ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(tptp_madd(X14,tptp_mmul(X18,tptp_mmul(tptp_madd(tptp_mmul(X4,tptp_mmul(X20,trans(X4))),tptp_mmul(X21,tptp_mmul(X22,trans(X21)))),trans(X18)))),X5,X11) = a_select3(tptp_madd(X14,tptp_mmul(X18,tptp_mmul(tptp_madd(tptp_mmul(X4,tptp_mmul(X20,trans(X4))),tptp_mmul(X21,tptp_mmul(X22,trans(X21)))),trans(X18)))),X11,X5) ) ),
inference(apply_def,[status(thm)],[matrix_symm_joseph_update,c_0_93]) ).
fof(i_0_97,plain,
! [X20,X19,X15,X14] :
( ( ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X19)
& leq(n0,X11)
& leq(X11,X19) )
=> a_select3(X20,X5,X11) = a_select3(X20,X11,X5) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(X5,X15)
& leq(n0,X11)
& leq(X11,X15) )
=> a_select3(X14,X5,X11) = a_select3(X14,X11,X5) ) )
=> epred1_4(X14,X15,X19,X20) ),
inference(split_equiv,[status(thm)],[i_0_93]) ).
fof(i_0_98,plain,
! [X318] : plus(n5,X318) = succ(succ(succ(succ(succ(X318))))),
inference(variable_rename,[status(thm)],[succ_plus_5_l]) ).
fof(i_0_99,plain,
! [X309] : plus(X309,n1) = succ(X309),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(i_0_100,plain,
! [X317] : plus(X317,n5) = succ(succ(succ(succ(succ(X317))))),
inference(variable_rename,[status(thm)],[succ_plus_5_r]) ).
fof(i_0_101,plain,
! [X316] : plus(n4,X316) = succ(succ(succ(succ(X316)))),
inference(variable_rename,[status(thm)],[succ_plus_4_l]) ).
fof(i_0_102,plain,
! [X315] : plus(X315,n4) = succ(succ(succ(succ(X315)))),
inference(variable_rename,[status(thm)],[succ_plus_4_r]) ).
fof(i_0_103,plain,
! [X376,X377,X378,X379] :
( ( a_select2(rho_defuse,n0) = use
| ~ epred2_0 )
& ( a_select2(rho_defuse,n1) = use
| ~ epred2_0 )
& ( a_select2(rho_defuse,n2) = use
| ~ epred2_0 )
& ( a_select2(sigma_defuse,n0) = use
| ~ epred2_0 )
& ( a_select2(sigma_defuse,n1) = use
| ~ epred2_0 )
& ( a_select2(sigma_defuse,n2) = use
| ~ epred2_0 )
& ( a_select2(sigma_defuse,n3) = use
| ~ epred2_0 )
& ( a_select2(sigma_defuse,n4) = use
| ~ epred2_0 )
& ( a_select2(sigma_defuse,n5) = use
| ~ epred2_0 )
& ( a_select3(u_defuse,n0,n0) = use
| ~ epred2_0 )
& ( a_select3(u_defuse,n1,n0) = use
| ~ epred2_0 )
& ( a_select3(u_defuse,n2,n0) = use
| ~ epred2_0 )
& ( a_select2(xinit_defuse,n3) = use
| ~ epred2_0 )
& ( a_select2(xinit_defuse,n4) = use
| ~ epred2_0 )
& ( a_select2(xinit_defuse,n5) = use
| ~ epred2_0 )
& ( a_select2(xinit_mean_defuse,n0) = use
| ~ epred2_0 )
& ( a_select2(xinit_mean_defuse,n1) = use
| ~ epred2_0 )
& ( a_select2(xinit_mean_defuse,n2) = use
| ~ epred2_0 )
& ( a_select2(xinit_mean_defuse,n3) = use
| ~ epred2_0 )
& ( a_select2(xinit_mean_defuse,n4) = use
| ~ epred2_0 )
& ( a_select2(xinit_mean_defuse,n5) = use
| ~ epred2_0 )
& ( a_select2(xinit_noise_defuse,n0) = use
| ~ epred2_0 )
& ( a_select2(xinit_noise_defuse,n1) = use
| ~ epred2_0 )
& ( a_select2(xinit_noise_defuse,n2) = use
| ~ epred2_0 )
& ( a_select2(xinit_noise_defuse,n3) = use
| ~ epred2_0 )
& ( a_select2(xinit_noise_defuse,n4) = use
| ~ epred2_0 )
& ( a_select2(xinit_noise_defuse,n5) = use
| ~ epred2_0 )
& ( leq(n0,pv5)
| ~ epred2_0 )
& ( leq(pv5,n0)
| ~ epred2_0 )
& ( leq(pv5,n998)
| ~ epred2_0 )
& ( gt(pv5,n0)
| ~ epred2_0 )
& ( ~ leq(n0,X376)
| ~ leq(n0,X377)
| ~ leq(X376,n2)
| ~ leq(X377,pred(pv5))
| a_select3(u_defuse,X376,X377) = use
| ~ epred2_0 )
& ( ~ leq(n0,X378)
| ~ leq(n0,X379)
| ~ leq(X378,n2)
| ~ leq(X379,pred(pv5))
| a_select3(z_defuse,X378,X379) = use
| ~ epred2_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_94])])])]) ).
fof(i_0_104,plain,
! [X319] : minus(X319,n1) = pred(X319),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
fof(i_0_105,plain,
! [X322,X323] :
( ( ~ leq(succ(X322),succ(X323))
| leq(X322,X323) )
& ( ~ leq(X322,X323)
| leq(succ(X322),succ(X323)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_succ])]) ).
fof(i_0_106,plain,
! [X314] : plus(n3,X314) = succ(succ(succ(X314))),
inference(variable_rename,[status(thm)],[succ_plus_3_l]) ).
fof(i_0_107,plain,
! [X313] : plus(X313,n3) = succ(succ(succ(X313))),
inference(variable_rename,[status(thm)],[succ_plus_3_r]) ).
fof(i_0_108,plain,
! [X225,X226] :
( ( ~ leq(X225,X226)
| gt(succ(X226),X225) )
& ( ~ gt(succ(X226),X225)
| leq(X225,X226) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt_equiv])]) ).
fof(i_0_109,plain,
! [X324,X325] :
( ~ leq(succ(X324),X325)
| gt(X325,X324) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt])]) ).
fof(i_0_110,plain,
! [X220,X221] :
( ( ~ leq(X220,pred(X221))
| gt(X221,X220) )
& ( ~ gt(X221,X220)
| leq(X220,pred(X221)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt_pred])]) ).
fof(i_0_111,plain,
! [X223,X224] :
( ~ leq(X223,X224)
| leq(X223,succ(X224)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ])]) ).
fof(i_0_112,plain,
! [X312] : plus(n2,X312) = succ(succ(X312)),
inference(variable_rename,[status(thm)],[succ_plus_2_l]) ).
fof(i_0_113,plain,
! [X311] : plus(X311,n2) = succ(succ(X311)),
inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).
fof(i_0_114,plain,
! [X222] : gt(succ(X222),X222),
inference(variable_rename,[status(thm)],[gt_succ]) ).
fof(i_0_115,plain,
! [X320] : pred(succ(X320)) = X320,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(i_0_116,plain,
! [X321] : succ(pred(X321)) = X321,
inference(variable_rename,[status(thm)],[succ_pred]) ).
fof(i_0_117,negated_conjecture,
( epred2_0
& leq(n0,esk24_0)
& leq(n0,esk25_0)
& leq(esk24_0,n2)
& leq(esk25_0,pred(pv5))
& ( n0 != esk24_0
| pv5 != esk25_0 )
& ( n1 != esk24_0
| pv5 != esk25_0 )
& ( n2 != esk24_0
| pv5 != esk25_0 )
& a_select3(u_defuse,esk24_0,esk25_0) != use ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_95])])]) ).
fof(i_0_118,plain,
! [X310] : plus(n1,X310) = succ(X310),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(i_0_119,plain,
! [X1] : ~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).
fof(i_0_120,plain,
! [X295,X296,X297,X298,X299,X300,X301,X302,X305,X306] :
( ( leq(n0,esk19_7(X295,X296,X297,X298,X299,X300,X301))
| ~ epred1_4(X295,X301,X302,X298)
| ~ leq(n0,X305)
| ~ leq(X305,X301)
| ~ leq(n0,X306)
| ~ leq(X306,X301)
| a_select3(tptp_madd(X295,tptp_mmul(X296,tptp_mmul(tptp_madd(tptp_mmul(X297,tptp_mmul(X298,trans(X297))),tptp_mmul(X299,tptp_mmul(X300,trans(X299)))),trans(X296)))),X305,X306) = a_select3(tptp_madd(X295,tptp_mmul(X296,tptp_mmul(tptp_madd(tptp_mmul(X297,tptp_mmul(X298,trans(X297))),tptp_mmul(X299,tptp_mmul(X300,trans(X299)))),trans(X296)))),X306,X305) )
& ( leq(esk19_7(X295,X296,X297,X298,X299,X300,X301),X301)
| ~ epred1_4(X295,X301,X302,X298)
| ~ leq(n0,X305)
| ~ leq(X305,X301)
| ~ leq(n0,X306)
| ~ leq(X306,X301)
| a_select3(tptp_madd(X295,tptp_mmul(X296,tptp_mmul(tptp_madd(tptp_mmul(X297,tptp_mmul(X298,trans(X297))),tptp_mmul(X299,tptp_mmul(X300,trans(X299)))),trans(X296)))),X305,X306) = a_select3(tptp_madd(X295,tptp_mmul(X296,tptp_mmul(tptp_madd(tptp_mmul(X297,tptp_mmul(X298,trans(X297))),tptp_mmul(X299,tptp_mmul(X300,trans(X299)))),trans(X296)))),X306,X305) )
& ( leq(n0,esk20_7(X295,X296,X297,X298,X299,X300,X301))
| ~ epred1_4(X295,X301,X302,X298)
| ~ leq(n0,X305)
| ~ leq(X305,X301)
| ~ leq(n0,X306)
| ~ leq(X306,X301)
| a_select3(tptp_madd(X295,tptp_mmul(X296,tptp_mmul(tptp_madd(tptp_mmul(X297,tptp_mmul(X298,trans(X297))),tptp_mmul(X299,tptp_mmul(X300,trans(X299)))),trans(X296)))),X305,X306) = a_select3(tptp_madd(X295,tptp_mmul(X296,tptp_mmul(tptp_madd(tptp_mmul(X297,tptp_mmul(X298,trans(X297))),tptp_mmul(X299,tptp_mmul(X300,trans(X299)))),trans(X296)))),X306,X305) )
& ( leq(esk20_7(X295,X296,X297,X298,X299,X300,X301),X301)
| ~ epred1_4(X295,X301,X302,X298)
| ~ leq(n0,X305)
| ~ leq(X305,X301)
| ~ leq(n0,X306)
| ~ leq(X306,X301)
| a_select3(tptp_madd(X295,tptp_mmul(X296,tptp_mmul(tptp_madd(tptp_mmul(X297,tptp_mmul(X298,trans(X297))),tptp_mmul(X299,tptp_mmul(X300,trans(X299)))),trans(X296)))),X305,X306) = a_select3(tptp_madd(X295,tptp_mmul(X296,tptp_mmul(tptp_madd(tptp_mmul(X297,tptp_mmul(X298,trans(X297))),tptp_mmul(X299,tptp_mmul(X300,trans(X299)))),trans(X296)))),X306,X305) )
& ( a_select3(X300,esk19_7(X295,X296,X297,X298,X299,X300,X301),esk20_7(X295,X296,X297,X298,X299,X300,X301)) != a_select3(X300,esk20_7(X295,X296,X297,X298,X299,X300,X301),esk19_7(X295,X296,X297,X298,X299,X300,X301))
| ~ epred1_4(X295,X301,X302,X298)
| ~ leq(n0,X305)
| ~ leq(X305,X301)
| ~ leq(n0,X306)
| ~ leq(X306,X301)
| a_select3(tptp_madd(X295,tptp_mmul(X296,tptp_mmul(tptp_madd(tptp_mmul(X297,tptp_mmul(X298,trans(X297))),tptp_mmul(X299,tptp_mmul(X300,trans(X299)))),trans(X296)))),X305,X306) = a_select3(tptp_madd(X295,tptp_mmul(X296,tptp_mmul(tptp_madd(tptp_mmul(X297,tptp_mmul(X298,trans(X297))),tptp_mmul(X299,tptp_mmul(X300,trans(X299)))),trans(X296)))),X306,X305) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_96])])])])])]) ).
fof(i_0_121,plain,
! [X339,X340,X341,X342,X343,X344] :
( ( leq(n0,esk21_6(X339,X340,X341,X342,X343,X344))
| ~ leq(n0,X339)
| ~ leq(X339,X341)
| ~ leq(n0,X340)
| ~ leq(X340,X342)
| a_select3(tptp_update3(X343,X341,X342,X344),X339,X340) = X344 )
& ( leq(n0,esk22_6(X339,X340,X341,X342,X343,X344))
| ~ leq(n0,X339)
| ~ leq(X339,X341)
| ~ leq(n0,X340)
| ~ leq(X340,X342)
| a_select3(tptp_update3(X343,X341,X342,X344),X339,X340) = X344 )
& ( leq(esk21_6(X339,X340,X341,X342,X343,X344),X341)
| ~ leq(n0,X339)
| ~ leq(X339,X341)
| ~ leq(n0,X340)
| ~ leq(X340,X342)
| a_select3(tptp_update3(X343,X341,X342,X344),X339,X340) = X344 )
& ( leq(esk22_6(X339,X340,X341,X342,X343,X344),X342)
| ~ leq(n0,X339)
| ~ leq(X339,X341)
| ~ leq(n0,X340)
| ~ leq(X340,X342)
| a_select3(tptp_update3(X343,X341,X342,X344),X339,X340) = X344 )
& ( a_select3(X343,esk21_6(X339,X340,X341,X342,X343,X344),esk22_6(X339,X340,X341,X342,X343,X344)) != X344
| ~ leq(n0,X339)
| ~ leq(X339,X341)
| ~ leq(n0,X340)
| ~ leq(X340,X342)
| a_select3(tptp_update3(X343,X341,X342,X344),X339,X340) = X344 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sel3_update_3])])])]) ).
fof(i_0_122,plain,
! [X368,X369,X370,X371] :
( ( leq(n0,esk28_4(X368,X369,X370,X371))
| leq(n0,esk26_4(X368,X369,X370,X371))
| epred1_4(X371,X370,X369,X368) )
& ( leq(esk28_4(X368,X369,X370,X371),X370)
| leq(n0,esk26_4(X368,X369,X370,X371))
| epred1_4(X371,X370,X369,X368) )
& ( leq(n0,esk29_4(X368,X369,X370,X371))
| leq(n0,esk26_4(X368,X369,X370,X371))
| epred1_4(X371,X370,X369,X368) )
& ( leq(esk29_4(X368,X369,X370,X371),X370)
| leq(n0,esk26_4(X368,X369,X370,X371))
| epred1_4(X371,X370,X369,X368) )
& ( a_select3(X371,esk28_4(X368,X369,X370,X371),esk29_4(X368,X369,X370,X371)) != a_select3(X371,esk29_4(X368,X369,X370,X371),esk28_4(X368,X369,X370,X371))
| leq(n0,esk26_4(X368,X369,X370,X371))
| epred1_4(X371,X370,X369,X368) )
& ( leq(n0,esk28_4(X368,X369,X370,X371))
| leq(esk26_4(X368,X369,X370,X371),X369)
| epred1_4(X371,X370,X369,X368) )
& ( leq(esk28_4(X368,X369,X370,X371),X370)
| leq(esk26_4(X368,X369,X370,X371),X369)
| epred1_4(X371,X370,X369,X368) )
& ( leq(n0,esk29_4(X368,X369,X370,X371))
| leq(esk26_4(X368,X369,X370,X371),X369)
| epred1_4(X371,X370,X369,X368) )
& ( leq(esk29_4(X368,X369,X370,X371),X370)
| leq(esk26_4(X368,X369,X370,X371),X369)
| epred1_4(X371,X370,X369,X368) )
& ( a_select3(X371,esk28_4(X368,X369,X370,X371),esk29_4(X368,X369,X370,X371)) != a_select3(X371,esk29_4(X368,X369,X370,X371),esk28_4(X368,X369,X370,X371))
| leq(esk26_4(X368,X369,X370,X371),X369)
| epred1_4(X371,X370,X369,X368) )
& ( leq(n0,esk28_4(X368,X369,X370,X371))
| leq(n0,esk27_4(X368,X369,X370,X371))
| epred1_4(X371,X370,X369,X368) )
& ( leq(esk28_4(X368,X369,X370,X371),X370)
| leq(n0,esk27_4(X368,X369,X370,X371))
| epred1_4(X371,X370,X369,X368) )
& ( leq(n0,esk29_4(X368,X369,X370,X371))
| leq(n0,esk27_4(X368,X369,X370,X371))
| epred1_4(X371,X370,X369,X368) )
& ( leq(esk29_4(X368,X369,X370,X371),X370)
| leq(n0,esk27_4(X368,X369,X370,X371))
| epred1_4(X371,X370,X369,X368) )
& ( a_select3(X371,esk28_4(X368,X369,X370,X371),esk29_4(X368,X369,X370,X371)) != a_select3(X371,esk29_4(X368,X369,X370,X371),esk28_4(X368,X369,X370,X371))
| leq(n0,esk27_4(X368,X369,X370,X371))
| epred1_4(X371,X370,X369,X368) )
& ( leq(n0,esk28_4(X368,X369,X370,X371))
| leq(esk27_4(X368,X369,X370,X371),X369)
| epred1_4(X371,X370,X369,X368) )
& ( leq(esk28_4(X368,X369,X370,X371),X370)
| leq(esk27_4(X368,X369,X370,X371),X369)
| epred1_4(X371,X370,X369,X368) )
& ( leq(n0,esk29_4(X368,X369,X370,X371))
| leq(esk27_4(X368,X369,X370,X371),X369)
| epred1_4(X371,X370,X369,X368) )
& ( leq(esk29_4(X368,X369,X370,X371),X370)
| leq(esk27_4(X368,X369,X370,X371),X369)
| epred1_4(X371,X370,X369,X368) )
& ( a_select3(X371,esk28_4(X368,X369,X370,X371),esk29_4(X368,X369,X370,X371)) != a_select3(X371,esk29_4(X368,X369,X370,X371),esk28_4(X368,X369,X370,X371))
| leq(esk27_4(X368,X369,X370,X371),X369)
| epred1_4(X371,X370,X369,X368) )
& ( leq(n0,esk28_4(X368,X369,X370,X371))
| a_select3(X368,esk26_4(X368,X369,X370,X371),esk27_4(X368,X369,X370,X371)) != a_select3(X368,esk27_4(X368,X369,X370,X371),esk26_4(X368,X369,X370,X371))
| epred1_4(X371,X370,X369,X368) )
& ( leq(esk28_4(X368,X369,X370,X371),X370)
| a_select3(X368,esk26_4(X368,X369,X370,X371),esk27_4(X368,X369,X370,X371)) != a_select3(X368,esk27_4(X368,X369,X370,X371),esk26_4(X368,X369,X370,X371))
| epred1_4(X371,X370,X369,X368) )
& ( leq(n0,esk29_4(X368,X369,X370,X371))
| a_select3(X368,esk26_4(X368,X369,X370,X371),esk27_4(X368,X369,X370,X371)) != a_select3(X368,esk27_4(X368,X369,X370,X371),esk26_4(X368,X369,X370,X371))
| epred1_4(X371,X370,X369,X368) )
& ( leq(esk29_4(X368,X369,X370,X371),X370)
| a_select3(X368,esk26_4(X368,X369,X370,X371),esk27_4(X368,X369,X370,X371)) != a_select3(X368,esk27_4(X368,X369,X370,X371),esk26_4(X368,X369,X370,X371))
| epred1_4(X371,X370,X369,X368) )
& ( a_select3(X371,esk28_4(X368,X369,X370,X371),esk29_4(X368,X369,X370,X371)) != a_select3(X371,esk29_4(X368,X369,X370,X371),esk28_4(X368,X369,X370,X371))
| a_select3(X368,esk26_4(X368,X369,X370,X371),esk27_4(X368,X369,X370,X371)) != a_select3(X368,esk27_4(X368,X369,X370,X371),esk26_4(X368,X369,X370,X371))
| epred1_4(X371,X370,X369,X368) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_97])])])]) ).
fof(i_0_123,plain,
! [X271,X272,X273,X278,X279] :
( ( leq(n0,esk13_3(X271,X272,X273))
| leq(n0,esk11_3(X271,X272,X273))
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( leq(esk13_3(X271,X272,X273),X273)
| leq(n0,esk11_3(X271,X272,X273))
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( leq(n0,esk14_3(X271,X272,X273))
| leq(n0,esk11_3(X271,X272,X273))
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( leq(esk14_3(X271,X272,X273),X273)
| leq(n0,esk11_3(X271,X272,X273))
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( a_select3(X272,esk13_3(X271,X272,X273),esk14_3(X271,X272,X273)) != a_select3(X272,esk14_3(X271,X272,X273),esk13_3(X271,X272,X273))
| leq(n0,esk11_3(X271,X272,X273))
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( leq(n0,esk13_3(X271,X272,X273))
| leq(esk11_3(X271,X272,X273),X273)
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( leq(esk13_3(X271,X272,X273),X273)
| leq(esk11_3(X271,X272,X273),X273)
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( leq(n0,esk14_3(X271,X272,X273))
| leq(esk11_3(X271,X272,X273),X273)
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( leq(esk14_3(X271,X272,X273),X273)
| leq(esk11_3(X271,X272,X273),X273)
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( a_select3(X272,esk13_3(X271,X272,X273),esk14_3(X271,X272,X273)) != a_select3(X272,esk14_3(X271,X272,X273),esk13_3(X271,X272,X273))
| leq(esk11_3(X271,X272,X273),X273)
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( leq(n0,esk13_3(X271,X272,X273))
| leq(n0,esk12_3(X271,X272,X273))
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( leq(esk13_3(X271,X272,X273),X273)
| leq(n0,esk12_3(X271,X272,X273))
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( leq(n0,esk14_3(X271,X272,X273))
| leq(n0,esk12_3(X271,X272,X273))
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( leq(esk14_3(X271,X272,X273),X273)
| leq(n0,esk12_3(X271,X272,X273))
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( a_select3(X272,esk13_3(X271,X272,X273),esk14_3(X271,X272,X273)) != a_select3(X272,esk14_3(X271,X272,X273),esk13_3(X271,X272,X273))
| leq(n0,esk12_3(X271,X272,X273))
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( leq(n0,esk13_3(X271,X272,X273))
| leq(esk12_3(X271,X272,X273),X273)
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( leq(esk13_3(X271,X272,X273),X273)
| leq(esk12_3(X271,X272,X273),X273)
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( leq(n0,esk14_3(X271,X272,X273))
| leq(esk12_3(X271,X272,X273),X273)
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( leq(esk14_3(X271,X272,X273),X273)
| leq(esk12_3(X271,X272,X273),X273)
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( a_select3(X272,esk13_3(X271,X272,X273),esk14_3(X271,X272,X273)) != a_select3(X272,esk14_3(X271,X272,X273),esk13_3(X271,X272,X273))
| leq(esk12_3(X271,X272,X273),X273)
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( leq(n0,esk13_3(X271,X272,X273))
| a_select3(X271,esk11_3(X271,X272,X273),esk12_3(X271,X272,X273)) != a_select3(X271,esk12_3(X271,X272,X273),esk11_3(X271,X272,X273))
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( leq(esk13_3(X271,X272,X273),X273)
| a_select3(X271,esk11_3(X271,X272,X273),esk12_3(X271,X272,X273)) != a_select3(X271,esk12_3(X271,X272,X273),esk11_3(X271,X272,X273))
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( leq(n0,esk14_3(X271,X272,X273))
| a_select3(X271,esk11_3(X271,X272,X273),esk12_3(X271,X272,X273)) != a_select3(X271,esk12_3(X271,X272,X273),esk11_3(X271,X272,X273))
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( leq(esk14_3(X271,X272,X273),X273)
| a_select3(X271,esk11_3(X271,X272,X273),esk12_3(X271,X272,X273)) != a_select3(X271,esk12_3(X271,X272,X273),esk11_3(X271,X272,X273))
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) )
& ( a_select3(X272,esk13_3(X271,X272,X273),esk14_3(X271,X272,X273)) != a_select3(X272,esk14_3(X271,X272,X273),esk13_3(X271,X272,X273))
| a_select3(X271,esk11_3(X271,X272,X273),esk12_3(X271,X272,X273)) != a_select3(X271,esk12_3(X271,X272,X273),esk11_3(X271,X272,X273))
| ~ leq(n0,X278)
| ~ leq(X278,X273)
| ~ leq(n0,X279)
| ~ leq(X279,X273)
| a_select3(tptp_msub(X271,X272),X278,X279) = a_select3(tptp_msub(X271,X272),X279,X278) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[matrix_symm_sub])])])])]) ).
fof(i_0_124,plain,
! [X262,X263,X264,X269,X270] :
( ( leq(n0,esk9_3(X262,X263,X264))
| leq(n0,esk7_3(X262,X263,X264))
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( leq(esk9_3(X262,X263,X264),X264)
| leq(n0,esk7_3(X262,X263,X264))
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( leq(n0,esk10_3(X262,X263,X264))
| leq(n0,esk7_3(X262,X263,X264))
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( leq(esk10_3(X262,X263,X264),X264)
| leq(n0,esk7_3(X262,X263,X264))
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( a_select3(X263,esk9_3(X262,X263,X264),esk10_3(X262,X263,X264)) != a_select3(X263,esk10_3(X262,X263,X264),esk9_3(X262,X263,X264))
| leq(n0,esk7_3(X262,X263,X264))
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( leq(n0,esk9_3(X262,X263,X264))
| leq(esk7_3(X262,X263,X264),X264)
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( leq(esk9_3(X262,X263,X264),X264)
| leq(esk7_3(X262,X263,X264),X264)
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( leq(n0,esk10_3(X262,X263,X264))
| leq(esk7_3(X262,X263,X264),X264)
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( leq(esk10_3(X262,X263,X264),X264)
| leq(esk7_3(X262,X263,X264),X264)
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( a_select3(X263,esk9_3(X262,X263,X264),esk10_3(X262,X263,X264)) != a_select3(X263,esk10_3(X262,X263,X264),esk9_3(X262,X263,X264))
| leq(esk7_3(X262,X263,X264),X264)
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( leq(n0,esk9_3(X262,X263,X264))
| leq(n0,esk8_3(X262,X263,X264))
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( leq(esk9_3(X262,X263,X264),X264)
| leq(n0,esk8_3(X262,X263,X264))
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( leq(n0,esk10_3(X262,X263,X264))
| leq(n0,esk8_3(X262,X263,X264))
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( leq(esk10_3(X262,X263,X264),X264)
| leq(n0,esk8_3(X262,X263,X264))
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( a_select3(X263,esk9_3(X262,X263,X264),esk10_3(X262,X263,X264)) != a_select3(X263,esk10_3(X262,X263,X264),esk9_3(X262,X263,X264))
| leq(n0,esk8_3(X262,X263,X264))
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( leq(n0,esk9_3(X262,X263,X264))
| leq(esk8_3(X262,X263,X264),X264)
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( leq(esk9_3(X262,X263,X264),X264)
| leq(esk8_3(X262,X263,X264),X264)
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( leq(n0,esk10_3(X262,X263,X264))
| leq(esk8_3(X262,X263,X264),X264)
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( leq(esk10_3(X262,X263,X264),X264)
| leq(esk8_3(X262,X263,X264),X264)
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( a_select3(X263,esk9_3(X262,X263,X264),esk10_3(X262,X263,X264)) != a_select3(X263,esk10_3(X262,X263,X264),esk9_3(X262,X263,X264))
| leq(esk8_3(X262,X263,X264),X264)
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( leq(n0,esk9_3(X262,X263,X264))
| a_select3(X262,esk7_3(X262,X263,X264),esk8_3(X262,X263,X264)) != a_select3(X262,esk8_3(X262,X263,X264),esk7_3(X262,X263,X264))
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( leq(esk9_3(X262,X263,X264),X264)
| a_select3(X262,esk7_3(X262,X263,X264),esk8_3(X262,X263,X264)) != a_select3(X262,esk8_3(X262,X263,X264),esk7_3(X262,X263,X264))
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( leq(n0,esk10_3(X262,X263,X264))
| a_select3(X262,esk7_3(X262,X263,X264),esk8_3(X262,X263,X264)) != a_select3(X262,esk8_3(X262,X263,X264),esk7_3(X262,X263,X264))
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( leq(esk10_3(X262,X263,X264),X264)
| a_select3(X262,esk7_3(X262,X263,X264),esk8_3(X262,X263,X264)) != a_select3(X262,esk8_3(X262,X263,X264),esk7_3(X262,X263,X264))
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) )
& ( a_select3(X263,esk9_3(X262,X263,X264),esk10_3(X262,X263,X264)) != a_select3(X263,esk10_3(X262,X263,X264),esk9_3(X262,X263,X264))
| a_select3(X262,esk7_3(X262,X263,X264),esk8_3(X262,X263,X264)) != a_select3(X262,esk8_3(X262,X263,X264),esk7_3(X262,X263,X264))
| ~ leq(n0,X269)
| ~ leq(X269,X264)
| ~ leq(n0,X270)
| ~ leq(X270,X264)
| a_select3(tptp_madd(X262,X263),X269,X270) = a_select3(tptp_madd(X262,X263),X270,X269) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[matrix_symm_add])])])])]) ).
fof(i_0_125,plain,
! [X254,X255,X258,X259,X260,X261] :
( ( leq(n0,esk5_2(X254,X255))
| ~ leq(n0,X258)
| ~ leq(X258,X255)
| ~ leq(n0,X259)
| ~ leq(X259,X255)
| ~ leq(n0,X260)
| ~ leq(X260,X255)
| a_select3(tptp_update3(X254,X260,X260,X261),X258,X259) = a_select3(tptp_update3(X254,X260,X260,X261),X259,X258) )
& ( leq(esk5_2(X254,X255),X255)
| ~ leq(n0,X258)
| ~ leq(X258,X255)
| ~ leq(n0,X259)
| ~ leq(X259,X255)
| ~ leq(n0,X260)
| ~ leq(X260,X255)
| a_select3(tptp_update3(X254,X260,X260,X261),X258,X259) = a_select3(tptp_update3(X254,X260,X260,X261),X259,X258) )
& ( leq(n0,esk6_2(X254,X255))
| ~ leq(n0,X258)
| ~ leq(X258,X255)
| ~ leq(n0,X259)
| ~ leq(X259,X255)
| ~ leq(n0,X260)
| ~ leq(X260,X255)
| a_select3(tptp_update3(X254,X260,X260,X261),X258,X259) = a_select3(tptp_update3(X254,X260,X260,X261),X259,X258) )
& ( leq(esk6_2(X254,X255),X255)
| ~ leq(n0,X258)
| ~ leq(X258,X255)
| ~ leq(n0,X259)
| ~ leq(X259,X255)
| ~ leq(n0,X260)
| ~ leq(X260,X255)
| a_select3(tptp_update3(X254,X260,X260,X261),X258,X259) = a_select3(tptp_update3(X254,X260,X260,X261),X259,X258) )
& ( a_select3(X254,esk5_2(X254,X255),esk6_2(X254,X255)) != a_select3(X254,esk6_2(X254,X255),esk5_2(X254,X255))
| ~ leq(n0,X258)
| ~ leq(X258,X255)
| ~ leq(n0,X259)
| ~ leq(X259,X255)
| ~ leq(n0,X260)
| ~ leq(X260,X255)
| a_select3(tptp_update3(X254,X260,X260,X261),X258,X259) = a_select3(tptp_update3(X254,X260,X260,X261),X259,X258) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[matrix_symm_update_diagonal])])])])])]) ).
fof(i_0_126,plain,
! [X280,X281,X282,X285,X286] :
( ( leq(n0,esk15_3(X280,X281,X282))
| ~ leq(n0,X285)
| ~ leq(X285,X282)
| ~ leq(n0,X286)
| ~ leq(X286,X282)
| a_select3(tptp_mmul(X280,tptp_mmul(X281,trans(X280))),X285,X286) = a_select3(tptp_mmul(X280,tptp_mmul(X281,trans(X280))),X286,X285) )
& ( leq(esk15_3(X280,X281,X282),X282)
| ~ leq(n0,X285)
| ~ leq(X285,X282)
| ~ leq(n0,X286)
| ~ leq(X286,X282)
| a_select3(tptp_mmul(X280,tptp_mmul(X281,trans(X280))),X285,X286) = a_select3(tptp_mmul(X280,tptp_mmul(X281,trans(X280))),X286,X285) )
& ( leq(n0,esk16_3(X280,X281,X282))
| ~ leq(n0,X285)
| ~ leq(X285,X282)
| ~ leq(n0,X286)
| ~ leq(X286,X282)
| a_select3(tptp_mmul(X280,tptp_mmul(X281,trans(X280))),X285,X286) = a_select3(tptp_mmul(X280,tptp_mmul(X281,trans(X280))),X286,X285) )
& ( leq(esk16_3(X280,X281,X282),X282)
| ~ leq(n0,X285)
| ~ leq(X285,X282)
| ~ leq(n0,X286)
| ~ leq(X286,X282)
| a_select3(tptp_mmul(X280,tptp_mmul(X281,trans(X280))),X285,X286) = a_select3(tptp_mmul(X280,tptp_mmul(X281,trans(X280))),X286,X285) )
& ( a_select3(X281,esk15_3(X280,X281,X282),esk16_3(X280,X281,X282)) != a_select3(X281,esk16_3(X280,X281,X282),esk15_3(X280,X281,X282))
| ~ leq(n0,X285)
| ~ leq(X285,X282)
| ~ leq(n0,X286)
| ~ leq(X286,X282)
| a_select3(tptp_mmul(X280,tptp_mmul(X281,trans(X280))),X285,X286) = a_select3(tptp_mmul(X280,tptp_mmul(X281,trans(X280))),X286,X285) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[matrix_symm_aba1])])])])]) ).
fof(i_0_127,plain,
! [X287,X288,X289,X292,X293,X294] :
( ( leq(n0,esk17_3(X287,X288,X289))
| ~ leq(n0,X293)
| ~ leq(X293,X292)
| ~ leq(n0,X294)
| ~ leq(X294,X292)
| a_select3(tptp_mmul(X287,tptp_mmul(X288,trans(X287))),X293,X294) = a_select3(tptp_mmul(X287,tptp_mmul(X288,trans(X287))),X294,X293) )
& ( leq(esk17_3(X287,X288,X289),X289)
| ~ leq(n0,X293)
| ~ leq(X293,X292)
| ~ leq(n0,X294)
| ~ leq(X294,X292)
| a_select3(tptp_mmul(X287,tptp_mmul(X288,trans(X287))),X293,X294) = a_select3(tptp_mmul(X287,tptp_mmul(X288,trans(X287))),X294,X293) )
& ( leq(n0,esk18_3(X287,X288,X289))
| ~ leq(n0,X293)
| ~ leq(X293,X292)
| ~ leq(n0,X294)
| ~ leq(X294,X292)
| a_select3(tptp_mmul(X287,tptp_mmul(X288,trans(X287))),X293,X294) = a_select3(tptp_mmul(X287,tptp_mmul(X288,trans(X287))),X294,X293) )
& ( leq(esk18_3(X287,X288,X289),X289)
| ~ leq(n0,X293)
| ~ leq(X293,X292)
| ~ leq(n0,X294)
| ~ leq(X294,X292)
| a_select3(tptp_mmul(X287,tptp_mmul(X288,trans(X287))),X293,X294) = a_select3(tptp_mmul(X287,tptp_mmul(X288,trans(X287))),X294,X293) )
& ( a_select3(X288,esk17_3(X287,X288,X289),esk18_3(X287,X288,X289)) != a_select3(X288,esk18_3(X287,X288,X289),esk17_3(X287,X288,X289))
| ~ leq(n0,X293)
| ~ leq(X293,X292)
| ~ leq(n0,X294)
| ~ leq(X294,X292)
| a_select3(tptp_mmul(X287,tptp_mmul(X288,trans(X287))),X293,X294) = a_select3(tptp_mmul(X287,tptp_mmul(X288,trans(X287))),X294,X293) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[matrix_symm_aba2])])])])])]) ).
fof(i_0_128,plain,
! [X355,X356,X357,X358] :
( ( leq(n0,esk23_4(X355,X356,X357,X358))
| ~ leq(n0,X355)
| ~ leq(X355,X356)
| a_select2(tptp_update2(X357,X356,X358),X355) = X358 )
& ( leq(esk23_4(X355,X356,X357,X358),X356)
| ~ leq(n0,X355)
| ~ leq(X355,X356)
| a_select2(tptp_update2(X357,X356,X358),X355) = X358 )
& ( a_select2(X357,esk23_4(X355,X356,X357,X358)) != X358
| ~ leq(n0,X355)
| ~ leq(X355,X356)
| a_select2(tptp_update2(X357,X356,X358),X355) = X358 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sel2_update_3])])])]) ).
fof(i_0_129,plain,
! [X332,X333,X334,X335,X336,X337,X338] :
( X332 = X334
| X333 != X335
| a_select3(X336,X334,X335) != X337
| a_select3(tptp_update3(X336,X332,X333,X338),X334,X335) = X337 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sel3_update_2])]) ).
fof(i_0_130,plain,
! [X328,X329,X330,X331] : a_select3(tptp_update3(X328,X329,X330,X331),X329,X330) = X331,
inference(variable_rename,[status(thm)],[sel3_update_1]) ).
fof(i_0_131,plain,
! [X248,X249,X252,X253] :
( ( leq(n0,esk3_2(X248,X249))
| ~ leq(n0,X252)
| ~ leq(X252,X249)
| ~ leq(n0,X253)
| ~ leq(X253,X249)
| a_select3(inv(X248),X252,X253) = a_select3(inv(X248),X253,X252) )
& ( leq(esk3_2(X248,X249),X249)
| ~ leq(n0,X252)
| ~ leq(X252,X249)
| ~ leq(n0,X253)
| ~ leq(X253,X249)
| a_select3(inv(X248),X252,X253) = a_select3(inv(X248),X253,X252) )
& ( leq(n0,esk4_2(X248,X249))
| ~ leq(n0,X252)
| ~ leq(X252,X249)
| ~ leq(n0,X253)
| ~ leq(X253,X249)
| a_select3(inv(X248),X252,X253) = a_select3(inv(X248),X253,X252) )
& ( leq(esk4_2(X248,X249),X249)
| ~ leq(n0,X252)
| ~ leq(X252,X249)
| ~ leq(n0,X253)
| ~ leq(X253,X249)
| a_select3(inv(X248),X252,X253) = a_select3(inv(X248),X253,X252) )
& ( a_select3(X248,esk3_2(X248,X249),esk4_2(X248,X249)) != a_select3(X248,esk4_2(X248,X249),esk3_2(X248,X249))
| ~ leq(n0,X252)
| ~ leq(X252,X249)
| ~ leq(n0,X253)
| ~ leq(X253,X249)
| a_select3(inv(X248),X252,X253) = a_select3(inv(X248),X253,X252) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[matrix_symm_inv])])])])]) ).
fof(i_0_132,plain,
! [X242,X243,X246,X247] :
( ( leq(n0,esk1_2(X242,X243))
| ~ leq(n0,X246)
| ~ leq(X246,X243)
| ~ leq(n0,X247)
| ~ leq(X247,X243)
| a_select3(trans(X242),X246,X247) = a_select3(trans(X242),X247,X246) )
& ( leq(esk1_2(X242,X243),X243)
| ~ leq(n0,X246)
| ~ leq(X246,X243)
| ~ leq(n0,X247)
| ~ leq(X247,X243)
| a_select3(trans(X242),X246,X247) = a_select3(trans(X242),X247,X246) )
& ( leq(n0,esk2_2(X242,X243))
| ~ leq(n0,X246)
| ~ leq(X246,X243)
| ~ leq(n0,X247)
| ~ leq(X247,X243)
| a_select3(trans(X242),X246,X247) = a_select3(trans(X242),X247,X246) )
& ( leq(esk2_2(X242,X243),X243)
| ~ leq(n0,X246)
| ~ leq(X246,X243)
| ~ leq(n0,X247)
| ~ leq(X247,X243)
| a_select3(trans(X242),X246,X247) = a_select3(trans(X242),X247,X246) )
& ( a_select3(X242,esk1_2(X242,X243),esk2_2(X242,X243)) != a_select3(X242,esk2_2(X242,X243),esk1_2(X242,X243))
| ~ leq(n0,X246)
| ~ leq(X246,X243)
| ~ leq(n0,X247)
| ~ leq(X247,X243)
| a_select3(trans(X242),X246,X247) = a_select3(trans(X242),X247,X246) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[matrix_symm_trans])])])])]) ).
cnf(i_0_133,plain,
plus(n5,X1) = succ(succ(succ(succ(succ(X1))))),
inference(split_conjunct,[status(thm)],[i_0_98]) ).
cnf(i_0_134,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[i_0_99]) ).
cnf(i_0_135,plain,
plus(X1,n5) = succ(succ(succ(succ(succ(X1))))),
inference(split_conjunct,[status(thm)],[i_0_100]) ).
fof(i_0_136,plain,
! [X235,X236,X237,X238,X239,X240,X241] :
( ~ leq(X236,X235)
| ~ leq(X235,X237)
| ~ leq(X239,X238)
| ~ leq(X238,X240)
| a_select3(tptp_const_array2(dim(X236,X237),dim(X239,X240),X241),X235,X238) = X241 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[const_array2_select])]) ).
cnf(i_0_137,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(i_0_138,plain,
plus(n4,X1) = succ(succ(succ(succ(X1)))),
inference(split_conjunct,[status(thm)],[i_0_101]) ).
cnf(i_0_139,plain,
plus(X1,n4) = succ(succ(succ(succ(X1)))),
inference(split_conjunct,[status(thm)],[i_0_102]) ).
cnf(i_0_140,plain,
( a_select3(z_defuse,X1,X2) = use
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n2)
| ~ leq(X2,pred(pv5))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]) ).
cnf(i_0_141,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[i_0_104]) ).
cnf(i_0_142,plain,
( a_select3(u_defuse,X1,X2) = use
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n2)
| ~ leq(X2,pred(pv5))
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]) ).
cnf(i_0_143,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
fof(i_0_144,plain,
! [X350,X351,X352,X353,X354] :
( X350 = X351
| a_select2(X352,X351) != X353
| a_select2(tptp_update2(X352,X350,X354),X351) = X353 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sel2_update_2])]) ).
fof(i_0_145,plain,
! [X231,X232,X233,X234] :
( ~ leq(X232,X231)
| ~ leq(X231,X233)
| a_select2(tptp_const_array1(dim(X232,X233),X234),X231) = X234 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[const_array1_select])]) ).
fof(i_0_146,plain,
! [X347,X348,X349] : a_select2(tptp_update2(X347,X348,X349),X348) = X349,
inference(variable_rename,[status(thm)],[sel2_update_1]) ).
cnf(i_0_147,plain,
( leq(X1,X2)
| ~ leq(succ(X1),succ(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_105]) ).
cnf(i_0_148,plain,
plus(n3,X1) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[i_0_106]) ).
cnf(i_0_149,plain,
plus(X1,n3) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[i_0_107]) ).
cnf(i_0_150,plain,
( leq(succ(X1),succ(X2))
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_105]) ).
fof(i_0_151,plain,
! [X326,X327] :
( ~ leq(minus(X326,X327),X326)
| leq(n0,X327) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_minus])]) ).
cnf(i_0_152,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(i_0_153,plain,
( leq(X2,X1)
| ~ gt(succ(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_108]) ).
cnf(i_0_154,plain,
( gt(X2,X1)
| ~ leq(succ(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_109]) ).
cnf(i_0_155,plain,
( gt(X2,X1)
| ~ leq(X1,pred(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_110]) ).
fof(i_0_156,plain,
! [X227,X228] :
( ~ leq(n0,X227)
| leq(uniform_int_rnd(X228,X227),X227) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[uniform_int_rand_ranges_hi])]) ).
cnf(i_0_157,plain,
( gt(succ(X2),X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_108]) ).
cnf(i_0_158,plain,
( leq(X1,succ(X2))
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_111]) ).
cnf(i_0_159,plain,
( leq(X2,pred(X1))
| ~ gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_110]) ).
fof(i_0_160,plain,
! [X209,X210,X211] :
( ~ leq(X209,X210)
| ~ leq(X210,X211)
| leq(X209,X211) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).
fof(i_0_161,plain,
! [X204,X205,X206] :
( ~ gt(X204,X205)
| ~ gt(X205,X206)
| gt(X204,X206) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_gt])]) ).
fof(i_0_162,plain,
! [X229,X230] :
( ~ leq(n0,X229)
| leq(n0,uniform_int_rnd(X230,X229)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[uniform_int_rand_ranges_lo])]) ).
fof(i_0_163,plain,
! [X307] : sum(n0,tptp_minus_1,X307) = n0,
inference(variable_rename,[status(thm)],[sum_plus_base]) ).
fof(i_0_164,plain,
! [X308] : tptp_float_0_0 = sum(n0,tptp_minus_1,X308),
inference(variable_rename,[status(thm)],[sum_plus_base_float]) ).
fof(i_0_165,plain,
! [X363] :
( ~ leq(n0,X363)
| ~ leq(X363,n5)
| X363 = n0
| X363 = n1
| X363 = n2
| X363 = n3
| X363 = n4
| X363 = n5 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_5])]) ).
fof(i_0_166,plain,
! [X362] :
( ~ leq(n0,X362)
| ~ leq(X362,n4)
| X362 = n0
| X362 = n1
| X362 = n2
| X362 = n3
| X362 = n4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_4])]) ).
cnf(i_0_167,plain,
plus(n2,X1) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[i_0_112]) ).
cnf(i_0_168,plain,
plus(X1,n2) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[i_0_113]) ).
fof(i_0_169,plain,
! [X367] :
( ~ leq(n0,X367)
| ~ leq(X367,n3)
| X367 = n0
| X367 = n1
| X367 = n2
| X367 = n3 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_3])]) ).
fof(i_0_170,plain,
! [X366] :
( ~ leq(n0,X366)
| ~ leq(X366,n2)
| X366 = n0
| X366 = n1
| X366 = n2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_2])]) ).
fof(i_0_171,plain,
! [X365] :
( ~ leq(n0,X365)
| ~ leq(X365,n1)
| X365 = n0
| X365 = n1 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_1])]) ).
fof(i_0_172,plain,
! [X364] :
( ~ leq(n0,X364)
| ~ leq(X364,n0)
| X364 = n0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_0])]) ).
fof(i_0_173,plain,
! [X218,X219] :
( ~ leq(X218,X219)
| X218 = X219
| gt(X219,X218) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt2])]) ).
cnf(i_0_174,plain,
gt(succ(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_114]) ).
fof(i_0_175,plain,
! [X214,X215] :
( ( ~ geq(X214,X215)
| leq(X215,X214) )
& ( ~ leq(X215,X214)
| geq(X214,X215) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_geq])]) ).
fof(i_0_176,plain,
! [X212,X213] :
( ( ~ lt(X212,X213)
| gt(X213,X212) )
& ( ~ gt(X213,X212)
| lt(X212,X213) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lt_gt])]) ).
fof(i_0_177,plain,
! [X216,X217] :
( ~ gt(X217,X216)
| leq(X216,X217) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt1])]) ).
cnf(i_0_178,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[i_0_115]) ).
cnf(i_0_179,plain,
succ(pred(X1)) = X1,
inference(split_conjunct,[status(thm)],[i_0_116]) ).
cnf(i_0_180,negated_conjecture,
leq(esk25_0,pred(pv5)),
inference(split_conjunct,[status(thm)],[i_0_117]) ).
cnf(i_0_181,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
fof(i_0_182,plain,
! [X202,X203] :
( gt(X202,X203)
| gt(X203,X202)
| X202 = X203 ),
inference(variable_rename,[status(thm)],[totality]) ).
cnf(i_0_183,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[i_0_118]) ).
fof(i_0_184,plain,
! [X207] : ~ gt(X207,X207),
inference(variable_rename,[status(thm)],[i_0_119]) ).
fof(i_0_185,plain,
! [X208] : leq(X208,X208),
inference(variable_rename,[status(thm)],[reflexivity_leq]) ).
cnf(i_0_186,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
cnf(i_0_187,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
cnf(i_0_188,plain,
( a_select3(tptp_madd(X2,tptp_mmul(X3,tptp_mmul(tptp_madd(tptp_mmul(X4,tptp_mmul(X5,trans(X4))),tptp_mmul(X6,tptp_mmul(X1,trans(X6)))),trans(X3)))),X9,X10) = a_select3(tptp_madd(X2,tptp_mmul(X3,tptp_mmul(tptp_madd(tptp_mmul(X4,tptp_mmul(X5,trans(X4))),tptp_mmul(X6,tptp_mmul(X1,trans(X6)))),trans(X3)))),X10,X9)
| a_select3(X1,esk19_7(X2,X3,X4,X5,X6,X1,X7),esk20_7(X2,X3,X4,X5,X6,X1,X7)) != a_select3(X1,esk20_7(X2,X3,X4,X5,X6,X1,X7),esk19_7(X2,X3,X4,X5,X6,X1,X7))
| ~ epred1_4(X2,X7,X8,X5)
| ~ leq(n0,X9)
| ~ leq(X9,X7)
| ~ leq(n0,X10)
| ~ leq(X10,X7) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_189,plain,
( leq(esk20_7(X1,X2,X3,X4,X5,X6,X7),X7)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X9,X10) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X10,X9)
| ~ epred1_4(X1,X7,X8,X4)
| ~ leq(n0,X9)
| ~ leq(X9,X7)
| ~ leq(n0,X10)
| ~ leq(X10,X7) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_190,plain,
( leq(esk19_7(X1,X2,X3,X4,X5,X6,X7),X7)
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X9,X10) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X10,X9)
| ~ epred1_4(X1,X7,X8,X4)
| ~ leq(n0,X9)
| ~ leq(X9,X7)
| ~ leq(n0,X10)
| ~ leq(X10,X7) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_191,plain,
( leq(n0,esk20_7(X1,X2,X3,X4,X5,X6,X7))
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X9,X10) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X10,X9)
| ~ epred1_4(X1,X7,X8,X4)
| ~ leq(n0,X9)
| ~ leq(X9,X7)
| ~ leq(n0,X10)
| ~ leq(X10,X7) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_192,plain,
( leq(n0,esk19_7(X1,X2,X3,X4,X5,X6,X7))
| a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X9,X10) = a_select3(tptp_madd(X1,tptp_mmul(X2,tptp_mmul(tptp_madd(tptp_mmul(X3,tptp_mmul(X4,trans(X3))),tptp_mmul(X5,tptp_mmul(X6,trans(X5)))),trans(X2)))),X10,X9)
| ~ epred1_4(X1,X7,X8,X4)
| ~ leq(n0,X9)
| ~ leq(X9,X7)
| ~ leq(n0,X10)
| ~ leq(X10,X7) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_193,plain,
( a_select3(tptp_update3(X1,X4,X5,X6),X2,X3) = X6
| a_select3(X1,esk21_6(X2,X3,X4,X5,X1,X6),esk22_6(X2,X3,X4,X5,X1,X6)) != X6
| ~ leq(n0,X2)
| ~ leq(X2,X4)
| ~ leq(n0,X3)
| ~ leq(X3,X5) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_194,plain,
( leq(esk22_6(X1,X2,X3,X4,X5,X6),X4)
| a_select3(tptp_update3(X5,X3,X4,X6),X1,X2) = X6
| ~ leq(n0,X1)
| ~ leq(X1,X3)
| ~ leq(n0,X2)
| ~ leq(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_195,plain,
( leq(esk21_6(X1,X2,X3,X4,X5,X6),X3)
| a_select3(tptp_update3(X5,X3,X4,X6),X1,X2) = X6
| ~ leq(n0,X1)
| ~ leq(X1,X3)
| ~ leq(n0,X2)
| ~ leq(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_196,plain,
( leq(n0,esk22_6(X1,X2,X3,X4,X5,X6))
| a_select3(tptp_update3(X5,X3,X4,X6),X1,X2) = X6
| ~ leq(n0,X1)
| ~ leq(X1,X3)
| ~ leq(n0,X2)
| ~ leq(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_197,plain,
( leq(n0,esk21_6(X1,X2,X3,X4,X5,X6))
| a_select3(tptp_update3(X5,X3,X4,X6),X1,X2) = X6
| ~ leq(n0,X1)
| ~ leq(X1,X3)
| ~ leq(n0,X2)
| ~ leq(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_198,plain,
( epred1_4(X1,X4,X3,X2)
| a_select3(X1,esk28_4(X2,X3,X4,X1),esk29_4(X2,X3,X4,X1)) != a_select3(X1,esk29_4(X2,X3,X4,X1),esk28_4(X2,X3,X4,X1))
| a_select3(X2,esk26_4(X2,X3,X4,X1),esk27_4(X2,X3,X4,X1)) != a_select3(X2,esk27_4(X2,X3,X4,X1),esk26_4(X2,X3,X4,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_199,plain,
( leq(esk27_4(X2,X3,X4,X1),X3)
| epred1_4(X1,X4,X3,X2)
| a_select3(X1,esk28_4(X2,X3,X4,X1),esk29_4(X2,X3,X4,X1)) != a_select3(X1,esk29_4(X2,X3,X4,X1),esk28_4(X2,X3,X4,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_200,plain,
( leq(esk26_4(X2,X3,X4,X1),X3)
| epred1_4(X1,X4,X3,X2)
| a_select3(X1,esk28_4(X2,X3,X4,X1),esk29_4(X2,X3,X4,X1)) != a_select3(X1,esk29_4(X2,X3,X4,X1),esk28_4(X2,X3,X4,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_201,plain,
( leq(esk29_4(X1,X2,X3,X4),X3)
| epred1_4(X4,X3,X2,X1)
| a_select3(X1,esk26_4(X1,X2,X3,X4),esk27_4(X1,X2,X3,X4)) != a_select3(X1,esk27_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_202,plain,
( leq(esk28_4(X1,X2,X3,X4),X3)
| epred1_4(X4,X3,X2,X1)
| a_select3(X1,esk26_4(X1,X2,X3,X4),esk27_4(X1,X2,X3,X4)) != a_select3(X1,esk27_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_203,plain,
( leq(n0,esk27_4(X2,X3,X4,X1))
| epred1_4(X1,X4,X3,X2)
| a_select3(X1,esk28_4(X2,X3,X4,X1),esk29_4(X2,X3,X4,X1)) != a_select3(X1,esk29_4(X2,X3,X4,X1),esk28_4(X2,X3,X4,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_204,plain,
( leq(n0,esk26_4(X2,X3,X4,X1))
| epred1_4(X1,X4,X3,X2)
| a_select3(X1,esk28_4(X2,X3,X4,X1),esk29_4(X2,X3,X4,X1)) != a_select3(X1,esk29_4(X2,X3,X4,X1),esk28_4(X2,X3,X4,X1)) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_205,plain,
( leq(n0,esk29_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| a_select3(X1,esk26_4(X1,X2,X3,X4),esk27_4(X1,X2,X3,X4)) != a_select3(X1,esk27_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_206,plain,
( leq(n0,esk28_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1)
| a_select3(X1,esk26_4(X1,X2,X3,X4),esk27_4(X1,X2,X3,X4)) != a_select3(X1,esk27_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_207,plain,
( a_select3(tptp_msub(X2,X1),X4,X5) = a_select3(tptp_msub(X2,X1),X5,X4)
| a_select3(X1,esk13_3(X2,X1,X3),esk14_3(X2,X1,X3)) != a_select3(X1,esk14_3(X2,X1,X3),esk13_3(X2,X1,X3))
| a_select3(X2,esk11_3(X2,X1,X3),esk12_3(X2,X1,X3)) != a_select3(X2,esk12_3(X2,X1,X3),esk11_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_208,plain,
( a_select3(tptp_madd(X2,X1),X4,X5) = a_select3(tptp_madd(X2,X1),X5,X4)
| a_select3(X1,esk9_3(X2,X1,X3),esk10_3(X2,X1,X3)) != a_select3(X1,esk10_3(X2,X1,X3),esk9_3(X2,X1,X3))
| a_select3(X2,esk7_3(X2,X1,X3),esk8_3(X2,X1,X3)) != a_select3(X2,esk8_3(X2,X1,X3),esk7_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_209,plain,
( a_select3(tptp_update3(X1,X5,X5,X6),X3,X4) = a_select3(tptp_update3(X1,X5,X5,X6),X4,X3)
| a_select3(X1,esk5_2(X1,X2),esk6_2(X1,X2)) != a_select3(X1,esk6_2(X1,X2),esk5_2(X1,X2))
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2)
| ~ leq(n0,X5)
| ~ leq(X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_210,plain,
( leq(esk6_2(X1,X2),X2)
| a_select3(tptp_update3(X1,X5,X5,X6),X3,X4) = a_select3(tptp_update3(X1,X5,X5,X6),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2)
| ~ leq(n0,X5)
| ~ leq(X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_211,plain,
( leq(esk5_2(X1,X2),X2)
| a_select3(tptp_update3(X1,X5,X5,X6),X3,X4) = a_select3(tptp_update3(X1,X5,X5,X6),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2)
| ~ leq(n0,X5)
| ~ leq(X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_212,plain,
( leq(n0,esk6_2(X1,X2))
| a_select3(tptp_update3(X1,X5,X5,X6),X3,X4) = a_select3(tptp_update3(X1,X5,X5,X6),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2)
| ~ leq(n0,X5)
| ~ leq(X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_213,plain,
( leq(n0,esk5_2(X1,X2))
| a_select3(tptp_update3(X1,X5,X5,X6),X3,X4) = a_select3(tptp_update3(X1,X5,X5,X6),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2)
| ~ leq(n0,X5)
| ~ leq(X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_214,plain,
( leq(esk29_4(X1,X2,X3,X4),X3)
| leq(esk27_4(X1,X2,X3,X4),X2)
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_215,plain,
( leq(esk28_4(X1,X2,X3,X4),X3)
| leq(esk27_4(X1,X2,X3,X4),X2)
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_216,plain,
( leq(esk29_4(X1,X2,X3,X4),X3)
| leq(esk26_4(X1,X2,X3,X4),X2)
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_217,plain,
( leq(esk28_4(X1,X2,X3,X4),X3)
| leq(esk26_4(X1,X2,X3,X4),X2)
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_218,plain,
( leq(esk29_4(X1,X2,X3,X4),X3)
| leq(n0,esk27_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_219,plain,
( leq(esk29_4(X1,X2,X3,X4),X3)
| leq(n0,esk26_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_220,plain,
( leq(esk28_4(X1,X2,X3,X4),X3)
| leq(n0,esk27_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_221,plain,
( leq(esk28_4(X1,X2,X3,X4),X3)
| leq(n0,esk26_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_222,plain,
( leq(n0,esk29_4(X1,X2,X3,X4))
| leq(esk27_4(X1,X2,X3,X4),X2)
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_223,plain,
( leq(n0,esk28_4(X1,X2,X3,X4))
| leq(esk27_4(X1,X2,X3,X4),X2)
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_224,plain,
( leq(n0,esk29_4(X1,X2,X3,X4))
| leq(esk26_4(X1,X2,X3,X4),X2)
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_225,plain,
( leq(n0,esk28_4(X1,X2,X3,X4))
| leq(esk26_4(X1,X2,X3,X4),X2)
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_226,plain,
( leq(n0,esk29_4(X1,X2,X3,X4))
| leq(n0,esk27_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_227,plain,
( leq(n0,esk28_4(X1,X2,X3,X4))
| leq(n0,esk27_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_228,plain,
( leq(n0,esk29_4(X1,X2,X3,X4))
| leq(n0,esk26_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_229,plain,
( leq(n0,esk28_4(X1,X2,X3,X4))
| leq(n0,esk26_4(X1,X2,X3,X4))
| epred1_4(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_230,plain,
( a_select3(tptp_mmul(X2,tptp_mmul(X1,trans(X2))),X4,X5) = a_select3(tptp_mmul(X2,tptp_mmul(X1,trans(X2))),X5,X4)
| a_select3(X1,esk15_3(X2,X1,X3),esk16_3(X2,X1,X3)) != a_select3(X1,esk16_3(X2,X1,X3),esk15_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_231,plain,
( a_select3(tptp_mmul(X2,tptp_mmul(X1,trans(X2))),X4,X6) = a_select3(tptp_mmul(X2,tptp_mmul(X1,trans(X2))),X6,X4)
| a_select3(X1,esk17_3(X2,X1,X3),esk18_3(X2,X1,X3)) != a_select3(X1,esk18_3(X2,X1,X3),esk17_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| ~ leq(n0,X6)
| ~ leq(X6,X5) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_232,plain,
( leq(esk14_3(X1,X2,X3),X3)
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| a_select3(X1,esk11_3(X1,X2,X3),esk12_3(X1,X2,X3)) != a_select3(X1,esk12_3(X1,X2,X3),esk11_3(X1,X2,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_233,plain,
( leq(esk13_3(X1,X2,X3),X3)
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| a_select3(X1,esk11_3(X1,X2,X3),esk12_3(X1,X2,X3)) != a_select3(X1,esk12_3(X1,X2,X3),esk11_3(X1,X2,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_234,plain,
( leq(esk12_3(X2,X1,X3),X3)
| a_select3(tptp_msub(X2,X1),X4,X5) = a_select3(tptp_msub(X2,X1),X5,X4)
| a_select3(X1,esk13_3(X2,X1,X3),esk14_3(X2,X1,X3)) != a_select3(X1,esk14_3(X2,X1,X3),esk13_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_235,plain,
( leq(esk11_3(X2,X1,X3),X3)
| a_select3(tptp_msub(X2,X1),X4,X5) = a_select3(tptp_msub(X2,X1),X5,X4)
| a_select3(X1,esk13_3(X2,X1,X3),esk14_3(X2,X1,X3)) != a_select3(X1,esk14_3(X2,X1,X3),esk13_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_236,plain,
( leq(esk10_3(X1,X2,X3),X3)
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| a_select3(X1,esk7_3(X1,X2,X3),esk8_3(X1,X2,X3)) != a_select3(X1,esk8_3(X1,X2,X3),esk7_3(X1,X2,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_237,plain,
( leq(esk9_3(X1,X2,X3),X3)
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| a_select3(X1,esk7_3(X1,X2,X3),esk8_3(X1,X2,X3)) != a_select3(X1,esk8_3(X1,X2,X3),esk7_3(X1,X2,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_238,plain,
( leq(esk8_3(X2,X1,X3),X3)
| a_select3(tptp_madd(X2,X1),X4,X5) = a_select3(tptp_madd(X2,X1),X5,X4)
| a_select3(X1,esk9_3(X2,X1,X3),esk10_3(X2,X1,X3)) != a_select3(X1,esk10_3(X2,X1,X3),esk9_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_239,plain,
( leq(esk7_3(X2,X1,X3),X3)
| a_select3(tptp_madd(X2,X1),X4,X5) = a_select3(tptp_madd(X2,X1),X5,X4)
| a_select3(X1,esk9_3(X2,X1,X3),esk10_3(X2,X1,X3)) != a_select3(X1,esk10_3(X2,X1,X3),esk9_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_240,plain,
( leq(n0,esk14_3(X1,X2,X3))
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| a_select3(X1,esk11_3(X1,X2,X3),esk12_3(X1,X2,X3)) != a_select3(X1,esk12_3(X1,X2,X3),esk11_3(X1,X2,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_241,plain,
( leq(n0,esk13_3(X1,X2,X3))
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| a_select3(X1,esk11_3(X1,X2,X3),esk12_3(X1,X2,X3)) != a_select3(X1,esk12_3(X1,X2,X3),esk11_3(X1,X2,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_242,plain,
( leq(n0,esk12_3(X2,X1,X3))
| a_select3(tptp_msub(X2,X1),X4,X5) = a_select3(tptp_msub(X2,X1),X5,X4)
| a_select3(X1,esk13_3(X2,X1,X3),esk14_3(X2,X1,X3)) != a_select3(X1,esk14_3(X2,X1,X3),esk13_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_243,plain,
( leq(n0,esk11_3(X2,X1,X3))
| a_select3(tptp_msub(X2,X1),X4,X5) = a_select3(tptp_msub(X2,X1),X5,X4)
| a_select3(X1,esk13_3(X2,X1,X3),esk14_3(X2,X1,X3)) != a_select3(X1,esk14_3(X2,X1,X3),esk13_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_244,plain,
( leq(n0,esk10_3(X1,X2,X3))
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| a_select3(X1,esk7_3(X1,X2,X3),esk8_3(X1,X2,X3)) != a_select3(X1,esk8_3(X1,X2,X3),esk7_3(X1,X2,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_245,plain,
( leq(n0,esk9_3(X1,X2,X3))
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| a_select3(X1,esk7_3(X1,X2,X3),esk8_3(X1,X2,X3)) != a_select3(X1,esk8_3(X1,X2,X3),esk7_3(X1,X2,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_246,plain,
( leq(n0,esk8_3(X2,X1,X3))
| a_select3(tptp_madd(X2,X1),X4,X5) = a_select3(tptp_madd(X2,X1),X5,X4)
| a_select3(X1,esk9_3(X2,X1,X3),esk10_3(X2,X1,X3)) != a_select3(X1,esk10_3(X2,X1,X3),esk9_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_247,plain,
( leq(n0,esk7_3(X2,X1,X3))
| a_select3(tptp_madd(X2,X1),X4,X5) = a_select3(tptp_madd(X2,X1),X5,X4)
| a_select3(X1,esk9_3(X2,X1,X3),esk10_3(X2,X1,X3)) != a_select3(X1,esk10_3(X2,X1,X3),esk9_3(X2,X1,X3))
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_248,plain,
( a_select2(tptp_update2(X1,X3,X4),X2) = X4
| a_select2(X1,esk23_4(X2,X3,X1,X4)) != X4
| ~ leq(n0,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_249,plain,
( leq(esk23_4(X1,X2,X3,X4),X2)
| a_select2(tptp_update2(X3,X2,X4),X1) = X4
| ~ leq(n0,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_250,plain,
( leq(n0,esk23_4(X1,X2,X3,X4))
| a_select2(tptp_update2(X3,X2,X4),X1) = X4
| ~ leq(n0,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_251,plain,
( X1 = X2
| a_select3(tptp_update3(X5,X1,X3,X7),X2,X4) = X6
| X3 != X4
| a_select3(X5,X2,X4) != X6 ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_252,plain,
a_select3(tptp_update3(X1,X2,X3,X4),X2,X3) = X4,
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_253,plain,
( a_select3(inv(X1),X3,X4) = a_select3(inv(X1),X4,X3)
| a_select3(X1,esk3_2(X1,X2),esk4_2(X1,X2)) != a_select3(X1,esk4_2(X1,X2),esk3_2(X1,X2))
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_254,plain,
( a_select3(trans(X1),X3,X4) = a_select3(trans(X1),X4,X3)
| a_select3(X1,esk1_2(X1,X2),esk2_2(X1,X2)) != a_select3(X1,esk2_2(X1,X2),esk1_2(X1,X2))
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_255,plain,
( leq(esk16_3(X1,X2,X3),X3)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X5) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_256,plain,
( leq(esk15_3(X1,X2,X3),X3)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X5) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_257,plain,
( leq(esk18_3(X1,X2,X3),X3)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X6) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X6,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| ~ leq(n0,X6)
| ~ leq(X6,X5) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_258,plain,
( leq(esk17_3(X1,X2,X3),X3)
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X6) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X6,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| ~ leq(n0,X6)
| ~ leq(X6,X5) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_259,plain,
( leq(n0,esk16_3(X1,X2,X3))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X5) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_260,plain,
( leq(n0,esk15_3(X1,X2,X3))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X5) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_261,plain,
( leq(n0,esk18_3(X1,X2,X3))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X6) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X6,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| ~ leq(n0,X6)
| ~ leq(X6,X5) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_262,plain,
( leq(n0,esk17_3(X1,X2,X3))
| a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X4,X6) = a_select3(tptp_mmul(X1,tptp_mmul(X2,trans(X1))),X6,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X5)
| ~ leq(n0,X6)
| ~ leq(X6,X5) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_263,plain,
( leq(esk14_3(X1,X2,X3),X3)
| leq(esk12_3(X1,X2,X3),X3)
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_264,plain,
( leq(esk13_3(X1,X2,X3),X3)
| leq(esk12_3(X1,X2,X3),X3)
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_265,plain,
( leq(esk14_3(X1,X2,X3),X3)
| leq(esk11_3(X1,X2,X3),X3)
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_266,plain,
( leq(esk13_3(X1,X2,X3),X3)
| leq(esk11_3(X1,X2,X3),X3)
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_267,plain,
( leq(esk10_3(X1,X2,X3),X3)
| leq(esk8_3(X1,X2,X3),X3)
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_268,plain,
( leq(esk9_3(X1,X2,X3),X3)
| leq(esk8_3(X1,X2,X3),X3)
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_269,plain,
( leq(esk10_3(X1,X2,X3),X3)
| leq(esk7_3(X1,X2,X3),X3)
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_270,plain,
( leq(esk9_3(X1,X2,X3),X3)
| leq(esk7_3(X1,X2,X3),X3)
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_271,plain,
( leq(esk14_3(X1,X2,X3),X3)
| leq(n0,esk12_3(X1,X2,X3))
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_272,plain,
( leq(esk14_3(X1,X2,X3),X3)
| leq(n0,esk11_3(X1,X2,X3))
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_273,plain,
( leq(esk13_3(X1,X2,X3),X3)
| leq(n0,esk12_3(X1,X2,X3))
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_274,plain,
( leq(esk13_3(X1,X2,X3),X3)
| leq(n0,esk11_3(X1,X2,X3))
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_275,plain,
( leq(n0,esk14_3(X1,X2,X3))
| leq(esk12_3(X1,X2,X3),X3)
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_276,plain,
( leq(n0,esk13_3(X1,X2,X3))
| leq(esk12_3(X1,X2,X3),X3)
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_277,plain,
( leq(n0,esk14_3(X1,X2,X3))
| leq(esk11_3(X1,X2,X3),X3)
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_278,plain,
( leq(n0,esk13_3(X1,X2,X3))
| leq(esk11_3(X1,X2,X3),X3)
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_279,plain,
( leq(esk10_3(X1,X2,X3),X3)
| leq(n0,esk8_3(X1,X2,X3))
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_280,plain,
( leq(esk10_3(X1,X2,X3),X3)
| leq(n0,esk7_3(X1,X2,X3))
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_281,plain,
( leq(esk9_3(X1,X2,X3),X3)
| leq(n0,esk8_3(X1,X2,X3))
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_282,plain,
( leq(esk9_3(X1,X2,X3),X3)
| leq(n0,esk7_3(X1,X2,X3))
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_283,plain,
( leq(n0,esk10_3(X1,X2,X3))
| leq(esk8_3(X1,X2,X3),X3)
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_284,plain,
( leq(n0,esk9_3(X1,X2,X3))
| leq(esk8_3(X1,X2,X3),X3)
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_285,plain,
( leq(n0,esk10_3(X1,X2,X3))
| leq(esk7_3(X1,X2,X3),X3)
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_286,plain,
( leq(n0,esk9_3(X1,X2,X3))
| leq(esk7_3(X1,X2,X3),X3)
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_287,plain,
( leq(n0,esk14_3(X1,X2,X3))
| leq(n0,esk12_3(X1,X2,X3))
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_288,plain,
( leq(n0,esk13_3(X1,X2,X3))
| leq(n0,esk12_3(X1,X2,X3))
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_289,plain,
( leq(n0,esk14_3(X1,X2,X3))
| leq(n0,esk11_3(X1,X2,X3))
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_290,plain,
( leq(n0,esk13_3(X1,X2,X3))
| leq(n0,esk11_3(X1,X2,X3))
| a_select3(tptp_msub(X1,X2),X4,X5) = a_select3(tptp_msub(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_291,plain,
( leq(n0,esk10_3(X1,X2,X3))
| leq(n0,esk8_3(X1,X2,X3))
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_292,plain,
( leq(n0,esk9_3(X1,X2,X3))
| leq(n0,esk8_3(X1,X2,X3))
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_293,plain,
( leq(n0,esk10_3(X1,X2,X3))
| leq(n0,esk7_3(X1,X2,X3))
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_294,plain,
( leq(n0,esk9_3(X1,X2,X3))
| leq(n0,esk7_3(X1,X2,X3))
| a_select3(tptp_madd(X1,X2),X4,X5) = a_select3(tptp_madd(X1,X2),X5,X4)
| ~ leq(n0,X4)
| ~ leq(X4,X3)
| ~ leq(n0,X5)
| ~ leq(X5,X3) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_295,plain,
plus(n5,X1) = plus(plus(plus(plus(plus(X1,n1),n1),n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_133,c_0_134]),c_0_134]),c_0_134]),c_0_134]),c_0_134]),
[final] ).
cnf(i_0_296,plain,
plus(X1,n5) = plus(plus(plus(plus(plus(X1,n1),n1),n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_135,c_0_134]),c_0_134]),c_0_134]),c_0_134]),c_0_134]),
[final] ).
cnf(i_0_297,plain,
( a_select3(tptp_const_array2(dim(X1,X3),dim(X4,X6),X7),X2,X5) = X7
| ~ leq(X1,X2)
| ~ leq(X2,X3)
| ~ leq(X4,X5)
| ~ leq(X5,X6) ),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_298,plain,
plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_137,c_0_134]),c_0_134]),c_0_134]),c_0_134]),c_0_134]),
[final] ).
cnf(i_0_299,plain,
( leq(esk4_2(X1,X2),X2)
| a_select3(inv(X1),X3,X4) = a_select3(inv(X1),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_300,plain,
( leq(esk3_2(X1,X2),X2)
| a_select3(inv(X1),X3,X4) = a_select3(inv(X1),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_301,plain,
( leq(esk2_2(X1,X2),X2)
| a_select3(trans(X1),X3,X4) = a_select3(trans(X1),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_302,plain,
( leq(esk1_2(X1,X2),X2)
| a_select3(trans(X1),X3,X4) = a_select3(trans(X1),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_303,plain,
( leq(n0,esk4_2(X1,X2))
| a_select3(inv(X1),X3,X4) = a_select3(inv(X1),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_304,plain,
( leq(n0,esk3_2(X1,X2))
| a_select3(inv(X1),X3,X4) = a_select3(inv(X1),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_305,plain,
( leq(n0,esk2_2(X1,X2))
| a_select3(trans(X1),X3,X4) = a_select3(trans(X1),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_306,plain,
( leq(n0,esk1_2(X1,X2))
| a_select3(trans(X1),X3,X4) = a_select3(trans(X1),X4,X3)
| ~ leq(n0,X3)
| ~ leq(X3,X2)
| ~ leq(n0,X4)
| ~ leq(X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_307,plain,
plus(n4,X1) = plus(plus(plus(plus(X1,n1),n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_138,c_0_134]),c_0_134]),c_0_134]),c_0_134]),
[final] ).
cnf(i_0_308,plain,
plus(X1,n4) = plus(plus(plus(plus(X1,n1),n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_139,c_0_134]),c_0_134]),c_0_134]),c_0_134]),
[final] ).
cnf(i_0_309,plain,
( a_select3(z_defuse,X1,X2) = use
| ~ epred2_0
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1)
| ~ leq(X2,minus(pv5,n1)) ),
inference(rw,[status(thm)],[i_0_140,c_0_141]),
[final] ).
cnf(i_0_310,plain,
( a_select3(u_defuse,X1,X2) = use
| ~ epred2_0
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1)
| ~ leq(X2,minus(pv5,n1)) ),
inference(rw,[status(thm)],[i_0_142,c_0_141]),
[final] ).
cnf(i_0_311,plain,
plus(plus(plus(plus(n0,n1),n1),n1),n1) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_143,c_0_134]),c_0_134]),c_0_134]),c_0_134]),
[final] ).
cnf(i_0_312,plain,
( X1 = X2
| a_select2(tptp_update2(X3,X1,X5),X2) = X4
| a_select2(X3,X2) != X4 ),
inference(split_conjunct,[status(thm)],[i_0_144]),
[final] ).
cnf(i_0_313,plain,
( a_select2(tptp_const_array1(dim(X1,X3),X4),X2) = X4
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_314,plain,
a_select2(tptp_update2(X1,X2,X3),X2) = X3,
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_315,plain,
( leq(X1,X2)
| ~ leq(plus(X1,n1),plus(X2,n1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_147,c_0_134]),c_0_134]),
[final] ).
cnf(i_0_316,plain,
plus(n3,X1) = plus(plus(plus(X1,n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_148,c_0_134]),c_0_134]),c_0_134]),
[final] ).
cnf(i_0_317,plain,
plus(X1,n3) = plus(plus(plus(X1,n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_149,c_0_134]),c_0_134]),c_0_134]),
[final] ).
cnf(i_0_318,plain,
( leq(plus(X1,n1),plus(X2,n1))
| ~ leq(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_150,c_0_134]),c_0_134]),
[final] ).
cnf(i_0_319,negated_conjecture,
a_select3(u_defuse,esk24_0,esk25_0) != use,
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_320,plain,
( leq(n0,X2)
| ~ leq(minus(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_321,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_152,c_0_134]),c_0_134]),c_0_134]),
[final] ).
cnf(i_0_322,plain,
( leq(X2,X1)
| ~ gt(plus(X1,n1),X2) ),
inference(rw,[status(thm)],[i_0_153,c_0_134]),
[final] ).
cnf(i_0_323,plain,
( gt(X2,X1)
| ~ leq(plus(X1,n1),X2) ),
inference(rw,[status(thm)],[i_0_154,c_0_134]),
[final] ).
cnf(i_0_324,plain,
( gt(X2,X1)
| ~ leq(X1,minus(X2,n1)) ),
inference(rw,[status(thm)],[i_0_155,c_0_141]),
[final] ).
cnf(i_0_325,plain,
( leq(uniform_int_rnd(X2,X1),X1)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[i_0_156]),
[final] ).
cnf(i_0_326,plain,
( gt(plus(X2,n1),X1)
| ~ leq(X1,X2) ),
inference(rw,[status(thm)],[i_0_157,c_0_134]),
[final] ).
cnf(i_0_327,plain,
( leq(X1,plus(X2,n1))
| ~ leq(X1,X2) ),
inference(rw,[status(thm)],[i_0_158,c_0_134]),
[final] ).
cnf(i_0_328,plain,
( leq(X2,minus(X1,n1))
| ~ gt(X1,X2) ),
inference(rw,[status(thm)],[i_0_159,c_0_141]),
[final] ).
cnf(i_0_329,plain,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_160]),
[final] ).
cnf(i_0_330,plain,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_331,plain,
( leq(n0,uniform_int_rnd(X2,X1))
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[i_0_162]),
[final] ).
cnf(i_0_332,plain,
sum(n0,tptp_minus_1,X1) = n0,
inference(split_conjunct,[status(thm)],[i_0_163]),
[final] ).
cnf(i_0_333,plain,
tptp_float_0_0 = sum(n0,tptp_minus_1,X1),
inference(split_conjunct,[status(thm)],[i_0_164]),
[final] ).
cnf(i_0_334,plain,
( a_select3(u_defuse,n2,n0) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_335,plain,
( a_select3(u_defuse,n1,n0) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_336,plain,
( a_select3(u_defuse,n0,n0) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_337,plain,
( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4
| X1 = n5
| ~ leq(n0,X1)
| ~ leq(X1,n5) ),
inference(split_conjunct,[status(thm)],[i_0_165]),
[final] ).
cnf(i_0_338,plain,
( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| X1 = n4
| ~ leq(n0,X1)
| ~ leq(X1,n4) ),
inference(split_conjunct,[status(thm)],[i_0_166]),
[final] ).
cnf(i_0_339,plain,
plus(n2,X1) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_167,c_0_134]),c_0_134]),
[final] ).
cnf(i_0_340,plain,
plus(X1,n2) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_168,c_0_134]),c_0_134]),
[final] ).
cnf(i_0_341,plain,
( X1 = n0
| X1 = n1
| X1 = n2
| X1 = n3
| ~ leq(n0,X1)
| ~ leq(X1,n3) ),
inference(split_conjunct,[status(thm)],[i_0_169]),
[final] ).
cnf(i_0_342,plain,
( X1 = n0
| X1 = n1
| X1 = n2
| ~ leq(n0,X1)
| ~ leq(X1,n2) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_343,plain,
( X1 = n0
| X1 = n1
| ~ leq(n0,X1)
| ~ leq(X1,n1) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_344,plain,
( X1 = n0
| ~ leq(n0,X1)
| ~ leq(X1,n0) ),
inference(split_conjunct,[status(thm)],[i_0_172]),
[final] ).
cnf(i_0_345,plain,
( X1 = X2
| gt(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_173]),
[final] ).
cnf(i_0_346,plain,
gt(plus(X1,n1),X1),
inference(rw,[status(thm)],[i_0_174,c_0_134]),
[final] ).
cnf(i_0_347,plain,
( geq(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_175]),
[final] ).
cnf(i_0_348,plain,
( lt(X2,X1)
| ~ gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_176]),
[final] ).
cnf(i_0_349,plain,
( leq(X2,X1)
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_175]),
[final] ).
cnf(i_0_350,plain,
( leq(X2,X1)
| ~ gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_177]),
[final] ).
cnf(i_0_351,plain,
( gt(X2,X1)
| ~ lt(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_176]),
[final] ).
cnf(i_0_352,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_178,c_0_134]),c_0_141]),
[final] ).
cnf(i_0_353,plain,
plus(minus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_179,c_0_134]),c_0_141]),
[final] ).
cnf(i_0_354,negated_conjecture,
leq(esk25_0,minus(pv5,n1)),
inference(rw,[status(thm)],[i_0_180,c_0_141]),
[final] ).
cnf(i_0_355,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_181,c_0_134]),c_0_134]),
[final] ).
cnf(i_0_356,plain,
( gt(X1,X2)
| gt(X2,X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[i_0_182]),
[final] ).
cnf(i_0_357,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[i_0_183,c_0_134]),
[final] ).
cnf(i_0_358,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_184]),
[final] ).
cnf(i_0_359,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_185]),
[final] ).
cnf(i_0_360,plain,
( leq(pv5,n998)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_361,plain,
( leq(pv5,n0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_362,plain,
( leq(n0,pv5)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_363,plain,
( gt(pv5,n0)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_364,plain,
( a_select2(xinit_noise_defuse,n5) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_365,plain,
( a_select2(xinit_noise_defuse,n4) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_366,plain,
( a_select2(xinit_noise_defuse,n3) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_367,plain,
( a_select2(xinit_noise_defuse,n2) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_368,plain,
( a_select2(xinit_noise_defuse,n1) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_369,plain,
( a_select2(xinit_noise_defuse,n0) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_370,plain,
( a_select2(xinit_mean_defuse,n5) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_371,plain,
( a_select2(xinit_mean_defuse,n4) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_372,plain,
( a_select2(xinit_mean_defuse,n3) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_373,plain,
( a_select2(xinit_mean_defuse,n2) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_374,plain,
( a_select2(xinit_mean_defuse,n1) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_375,plain,
( a_select2(xinit_mean_defuse,n0) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_376,plain,
( a_select2(xinit_defuse,n5) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_377,plain,
( a_select2(xinit_defuse,n4) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_378,plain,
( a_select2(xinit_defuse,n3) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_379,plain,
( a_select2(sigma_defuse,n5) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_380,plain,
( a_select2(sigma_defuse,n4) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_381,plain,
( a_select2(sigma_defuse,n3) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_382,plain,
( a_select2(sigma_defuse,n2) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_383,plain,
( a_select2(sigma_defuse,n1) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_384,plain,
( a_select2(sigma_defuse,n0) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_385,plain,
( a_select2(rho_defuse,n2) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_386,plain,
( a_select2(rho_defuse,n1) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_387,plain,
( a_select2(rho_defuse,n0) = use
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_388,negated_conjecture,
leq(esk24_0,n2),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_389,negated_conjecture,
leq(n0,esk25_0),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_390,negated_conjecture,
leq(n0,esk24_0),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_391,plain,
gt(n998,n5),
inference(split_conjunct,[status(thm)],[gt_998_5]),
[final] ).
cnf(i_0_392,plain,
gt(n998,n4),
inference(split_conjunct,[status(thm)],[gt_998_4]),
[final] ).
cnf(i_0_393,plain,
gt(n998,n3),
inference(split_conjunct,[status(thm)],[gt_998_3]),
[final] ).
cnf(i_0_394,plain,
gt(n998,n2),
inference(split_conjunct,[status(thm)],[gt_998_2]),
[final] ).
cnf(i_0_395,plain,
gt(n998,n1),
inference(split_conjunct,[status(thm)],[gt_998_1]),
[final] ).
cnf(i_0_396,plain,
gt(n998,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_998_tptp_minus_1]),
[final] ).
cnf(i_0_397,plain,
gt(n998,n0),
inference(split_conjunct,[status(thm)],[gt_998_0]),
[final] ).
cnf(i_0_398,plain,
gt(n5,n4),
inference(split_conjunct,[status(thm)],[gt_5_4]),
[final] ).
cnf(i_0_399,plain,
gt(n5,n3),
inference(split_conjunct,[status(thm)],[gt_5_3]),
[final] ).
cnf(i_0_400,plain,
gt(n5,n2),
inference(split_conjunct,[status(thm)],[gt_5_2]),
[final] ).
cnf(i_0_401,plain,
gt(n5,n1),
inference(split_conjunct,[status(thm)],[gt_5_1]),
[final] ).
cnf(i_0_402,plain,
gt(n5,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_5_tptp_minus_1]),
[final] ).
cnf(i_0_403,plain,
gt(n5,n0),
inference(split_conjunct,[status(thm)],[gt_5_0]),
[final] ).
cnf(i_0_404,plain,
gt(n4,n3),
inference(split_conjunct,[status(thm)],[gt_4_3]),
[final] ).
cnf(i_0_405,plain,
gt(n4,n2),
inference(split_conjunct,[status(thm)],[gt_4_2]),
[final] ).
cnf(i_0_406,plain,
gt(n4,n1),
inference(split_conjunct,[status(thm)],[gt_4_1]),
[final] ).
cnf(i_0_407,plain,
gt(n4,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_4_tptp_minus_1]),
[final] ).
cnf(i_0_408,plain,
gt(n4,n0),
inference(split_conjunct,[status(thm)],[gt_4_0]),
[final] ).
cnf(i_0_409,plain,
gt(n3,n2),
inference(split_conjunct,[status(thm)],[gt_3_2]),
[final] ).
cnf(i_0_410,plain,
gt(n3,n1),
inference(split_conjunct,[status(thm)],[gt_3_1]),
[final] ).
cnf(i_0_411,plain,
gt(n3,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_3_tptp_minus_1]),
[final] ).
cnf(i_0_412,plain,
gt(n3,n0),
inference(split_conjunct,[status(thm)],[gt_3_0]),
[final] ).
cnf(i_0_413,plain,
gt(n2,n1),
inference(split_conjunct,[status(thm)],[gt_2_1]),
[final] ).
cnf(i_0_414,plain,
gt(n2,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_2_tptp_minus_1]),
[final] ).
cnf(i_0_415,plain,
gt(n2,n0),
inference(split_conjunct,[status(thm)],[gt_2_0]),
[final] ).
cnf(i_0_416,plain,
gt(n1,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_1_tptp_minus_1]),
[final] ).
cnf(i_0_417,plain,
gt(n1,n0),
inference(split_conjunct,[status(thm)],[gt_1_0]),
[final] ).
cnf(i_0_418,plain,
gt(n0,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_0_tptp_minus_1]),
[final] ).
cnf(i_0_419,plain,
plus(tptp_minus_1,n1) = n0,
inference(rw,[status(thm)],[i_0_186,c_0_134]),
[final] ).
cnf(i_0_420,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[i_0_187,c_0_134]),
[final] ).
cnf(i_0_421,negated_conjecture,
( n2 != esk24_0
| pv5 != esk25_0 ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_422,negated_conjecture,
( n1 != esk24_0
| pv5 != esk25_0 ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_423,negated_conjecture,
( n0 != esk24_0
| pv5 != esk25_0 ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_424,plain,
def != use,
inference(split_conjunct,[status(thm)],[defuse]),
[final] ).
cnf(i_0_425,negated_conjecture,
epred2_0,
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_426,plain,
true,
inference(split_conjunct,[status(thm)],[ttrue]),
[final] ).
cnf(i_0_427,axiom,
X1 = X1 ).
cnf(i_0_428,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_429,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_430,axiom,
( X1 != X2
| a_select3(X1,X3,X4) = a_select3(X2,X3,X4) ) ).
cnf(i_0_431,axiom,
( X1 != X2
| a_select3(X3,X1,X4) = a_select3(X3,X2,X4) ) ).
cnf(i_0_432,axiom,
( X1 != X2
| a_select3(X3,X4,X1) = a_select3(X3,X4,X2) ) ).
cnf(i_0_433,axiom,
( X1 != X2
| a_select2(X1,X3) = a_select2(X2,X3) ) ).
cnf(i_0_434,axiom,
( X1 != X2
| a_select2(X3,X1) = a_select2(X3,X2) ) ).
cnf(i_0_435,axiom,
( X1 != X2
| plus(X1,X3) = plus(X2,X3) ) ).
cnf(i_0_436,axiom,
( X1 != X2
| plus(X3,X1) = plus(X3,X2) ) ).
cnf(i_0_437,axiom,
( X1 != X2
| minus(X1,X3) = minus(X2,X3) ) ).
cnf(i_0_438,axiom,
( X1 != X2
| minus(X3,X1) = minus(X3,X2) ) ).
cnf(i_0_439,axiom,
( X1 != X2
| sum(X1,X3,X4) = sum(X2,X3,X4) ) ).
cnf(i_0_440,axiom,
( X1 != X2
| sum(X3,X1,X4) = sum(X3,X2,X4) ) ).
cnf(i_0_441,axiom,
( X1 != X2
| sum(X3,X4,X1) = sum(X3,X4,X2) ) ).
cnf(i_0_442,axiom,
( X1 != X2
| ~ epred1_4(X1,X3,X4,X5)
| epred1_4(X2,X3,X4,X5) ) ).
cnf(i_0_443,axiom,
( X1 != X2
| ~ epred1_4(X3,X1,X4,X5)
| epred1_4(X3,X2,X4,X5) ) ).
cnf(i_0_444,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X1,X5)
| epred1_4(X3,X4,X2,X5) ) ).
cnf(i_0_445,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X5,X1)
| epred1_4(X3,X4,X5,X2) ) ).
cnf(i_0_446,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_447,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_448,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_449,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_450,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_451,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_452,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_453,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_427_001,axiom,
X1 = X1 ).
cnf(i_0_428_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_429_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_430_004,axiom,
( X1 != X2
| a_select3(X1,X3,X4) = a_select3(X2,X3,X4) ) ).
cnf(i_0_431_005,axiom,
( X1 != X2
| a_select3(X3,X1,X4) = a_select3(X3,X2,X4) ) ).
cnf(i_0_432_006,axiom,
( X1 != X2
| a_select3(X3,X4,X1) = a_select3(X3,X4,X2) ) ).
cnf(i_0_433_007,axiom,
( X1 != X2
| a_select2(X1,X3) = a_select2(X2,X3) ) ).
cnf(i_0_434_008,axiom,
( X1 != X2
| a_select2(X3,X1) = a_select2(X3,X2) ) ).
cnf(i_0_435_009,axiom,
( X1 != X2
| plus(X1,X3) = plus(X2,X3) ) ).
cnf(i_0_436_010,axiom,
( X1 != X2
| plus(X3,X1) = plus(X3,X2) ) ).
cnf(i_0_437_011,axiom,
( X1 != X2
| minus(X1,X3) = minus(X2,X3) ) ).
cnf(i_0_438_012,axiom,
( X1 != X2
| minus(X3,X1) = minus(X3,X2) ) ).
cnf(i_0_439_013,axiom,
( X1 != X2
| sum(X1,X3,X4) = sum(X2,X3,X4) ) ).
cnf(i_0_440_014,axiom,
( X1 != X2
| sum(X3,X1,X4) = sum(X3,X2,X4) ) ).
cnf(i_0_441_015,axiom,
( X1 != X2
| sum(X3,X4,X1) = sum(X3,X4,X2) ) ).
cnf(i_0_442_016,axiom,
( X1 != X2
| ~ epred1_4(X1,X3,X4,X5)
| epred1_4(X2,X3,X4,X5) ) ).
cnf(i_0_443_017,axiom,
( X1 != X2
| ~ epred1_4(X3,X1,X4,X5)
| epred1_4(X3,X2,X4,X5) ) ).
cnf(i_0_444_018,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X1,X5)
| epred1_4(X3,X4,X2,X5) ) ).
cnf(i_0_445_019,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X5,X1)
| epred1_4(X3,X4,X5,X2) ) ).
cnf(i_0_446_020,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_447_021,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_448_022,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_449_023,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_450_024,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_451_025,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_452_026,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_453_027,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_454,plain,
( X1 = X2
| a_select2(tptp_update2(X3,X1,X4),X2) = a_select2(X3,X2) ),
inference(equality_inference,[],[312]) ).
cnf(i_0_455,plain,
$false,
inference(scs_inference,[],[i_0_319,i_0_425,i_0_388,i_0_389,i_0_390,i_0_354,i_0_310]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV192+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n023.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 04:57:53 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.70/1.61 % Version : CSE_E---1.7
% 0.70/1.61 % Problem : theBenchmark.p
% 0.70/1.61 % SZS status Theorem for theBenchmark.p
% 0.70/1.61 % SZS output start CNFRefutation
% See solution above
% 0.70/1.63 % Total time : 1.271s
%------------------------------------------------------------------------------