%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV221+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 : n008.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 05:21:06 PM UTC 2026
% Result : Theorem 0.75s 1.62s
% Output : CNFRefutation 0.75s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_93)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0401,conjecture,
( ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,n998)
& leq(pv57,n5)
& leq(pv58,n5)
& gt(pv58,pv57)
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,n2) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,n5)
& leq(X29,n5) )
=> ( ( X28 = pv57
& gt(pv58,X29) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) ) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,n5)
& leq(X11,n5) )
=> ( gt(pv57,X5)
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) )
& ! [X16] :
( ( leq(n0,X16)
& leq(X16,pred(pv57)) )
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n5) )
=> a_select3(id_ds1_filter,X16,X6) = a_select3(id_ds1_filter,X6,X16) ) ) )
=> ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv57)) )
=> ! [X15] :
( ( leq(n0,X15)
& leq(X15,n5) )
=> ( ( ~ ( pv57 = X15
& X15 = X19 )
& pv57 != X19 )
=> a_select3(id_ds1_filter,X19,X15) = a_select3(id_ds1_filter,X15,X19) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_symm_0401) ).
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(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
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(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
<=> ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,n998)
& leq(pv57,n5)
& leq(pv58,n5)
& gt(pv58,pv57)
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,n2) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,n5)
& leq(X29,n5) )
=> ( ( X28 = pv57
& gt(pv58,X29) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) ) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,n5)
& leq(X11,n5) )
=> ( gt(pv57,X5)
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) )
& ! [X16] :
( ( leq(n0,X16)
& leq(X16,pred(pv57)) )
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n5) )
=> a_select3(id_ds1_filter,X16,X6) = a_select3(id_ds1_filter,X6,X16) ) ) ) ),
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
=> ( leq(n0,pv5)
& leq(n0,pv57)
& leq(pv5,n998)
& leq(pv57,n5)
& leq(pv58,n5)
& gt(pv58,pv57)
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n5)
& leq(X18,n5) )
=> a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,n2) )
=> a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
& ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
& ! [X28,X29] :
( ( leq(n0,X28)
& leq(n0,X29)
& leq(X28,n5)
& leq(X29,n5) )
=> ( ( X28 = pv57
& gt(pv58,X29) )
=> a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) ) )
& ! [X5,X11] :
( ( leq(n0,X5)
& leq(n0,X11)
& leq(X5,n5)
& leq(X11,n5) )
=> ( gt(pv57,X5)
=> a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) )
& ! [X16] :
( ( leq(n0,X16)
& leq(X16,pred(pv57)) )
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n5) )
=> a_select3(id_ds1_filter,X16,X6) = a_select3(id_ds1_filter,X6,X16) ) ) ) ),
inference(split_equiv,[status(thm)],[i_0_92]) ).
fof(i_0_95,negated_conjecture,
~ ( epred2_0
=> ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv57)) )
=> ! [X15] :
( ( leq(n0,X15)
& leq(X15,n5) )
=> ( ( ~ ( pv57 = X15
& X15 = X19 )
& pv57 != X19 )
=> a_select3(id_ds1_filter,X19,X15) = a_select3(id_ds1_filter,X15,X19) ) ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0401]),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,
! [X328] : plus(n5,X328) = succ(succ(succ(succ(succ(X328))))),
inference(variable_rename,[status(thm)],[succ_plus_5_l]) ).
fof(i_0_99,plain,
! [X319] : plus(X319,n1) = succ(X319),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(i_0_100,plain,
! [X327] : plus(X327,n5) = succ(succ(succ(succ(succ(X327))))),
inference(variable_rename,[status(thm)],[succ_plus_5_r]) ).
fof(i_0_101,plain,
! [X386,X387,X388,X389,X390,X391,X392,X393,X394,X395,X396,X397] :
( ( leq(n0,pv5)
| ~ epred2_0 )
& ( leq(n0,pv57)
| ~ epred2_0 )
& ( leq(pv5,n998)
| ~ epred2_0 )
& ( leq(pv57,n5)
| ~ epred2_0 )
& ( leq(pv58,n5)
| ~ epred2_0 )
& ( gt(pv58,pv57)
| ~ epred2_0 )
& ( ~ leq(n0,X386)
| ~ leq(n0,X387)
| ~ leq(X386,n5)
| ~ leq(X387,n5)
| a_select3(q_ds1_filter,X386,X387) = a_select3(q_ds1_filter,X387,X386)
| ~ epred2_0 )
& ( ~ leq(n0,X388)
| ~ leq(n0,X389)
| ~ leq(X388,n2)
| ~ leq(X389,n2)
| a_select3(r_ds1_filter,X388,X389) = a_select3(r_ds1_filter,X389,X388)
| ~ epred2_0 )
& ( ~ leq(n0,X390)
| ~ leq(n0,X391)
| ~ leq(X390,n5)
| ~ leq(X391,n5)
| a_select3(pminus_ds1_filter,X390,X391) = a_select3(pminus_ds1_filter,X391,X390)
| ~ epred2_0 )
& ( ~ leq(n0,X392)
| ~ leq(n0,X393)
| ~ leq(X392,n5)
| ~ leq(X393,n5)
| X392 != pv57
| ~ gt(pv58,X393)
| a_select3(id_ds1_filter,X392,X393) = a_select3(id_ds1_filter,X393,X392)
| ~ epred2_0 )
& ( ~ leq(n0,X394)
| ~ leq(n0,X395)
| ~ leq(X394,n5)
| ~ leq(X395,n5)
| ~ gt(pv57,X394)
| a_select3(id_ds1_filter,X394,X395) = a_select3(id_ds1_filter,X395,X394)
| ~ epred2_0 )
& ( ~ leq(n0,X396)
| ~ leq(X396,pred(pv57))
| ~ leq(n0,X397)
| ~ leq(X397,n5)
| a_select3(id_ds1_filter,X396,X397) = a_select3(id_ds1_filter,X397,X396)
| ~ 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_102,plain,
! [X329] : minus(X329,n1) = pred(X329),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
fof(i_0_103,plain,
! [X326] : plus(n4,X326) = succ(succ(succ(succ(X326)))),
inference(variable_rename,[status(thm)],[succ_plus_4_l]) ).
fof(i_0_104,plain,
! [X325] : plus(X325,n4) = succ(succ(succ(succ(X325)))),
inference(variable_rename,[status(thm)],[succ_plus_4_r]) ).
fof(i_0_105,plain,
! [X332,X333] :
( ( ~ leq(succ(X332),succ(X333))
| leq(X332,X333) )
& ( ~ leq(X332,X333)
| leq(succ(X332),succ(X333)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_succ])]) ).
fof(i_0_106,plain,
! [X324] : plus(n3,X324) = succ(succ(succ(X324))),
inference(variable_rename,[status(thm)],[succ_plus_3_l]) ).
fof(i_0_107,plain,
! [X323] : plus(X323,n3) = succ(succ(succ(X323))),
inference(variable_rename,[status(thm)],[succ_plus_3_r]) ).
fof(i_0_108,plain,
! [X235,X236] :
( ( ~ leq(X235,X236)
| gt(succ(X236),X235) )
& ( ~ gt(succ(X236),X235)
| leq(X235,X236) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt_equiv])]) ).
fof(i_0_109,plain,
! [X334,X335] :
( ~ leq(succ(X334),X335)
| gt(X335,X334) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt])]) ).
fof(i_0_110,plain,
! [X230,X231] :
( ( ~ leq(X230,pred(X231))
| gt(X231,X230) )
& ( ~ gt(X231,X230)
| leq(X230,pred(X231)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt_pred])]) ).
fof(i_0_111,plain,
! [X233,X234] :
( ~ leq(X233,X234)
| leq(X233,succ(X234)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ])]) ).
fof(i_0_112,plain,
! [X322] : plus(n2,X322) = succ(succ(X322)),
inference(variable_rename,[status(thm)],[succ_plus_2_l]) ).
fof(i_0_113,plain,
! [X321] : plus(X321,n2) = succ(succ(X321)),
inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).
fof(i_0_114,plain,
! [X232] : gt(succ(X232),X232),
inference(variable_rename,[status(thm)],[gt_succ]) ).
fof(i_0_115,plain,
! [X330] : pred(succ(X330)) = X330,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(i_0_116,plain,
! [X331] : succ(pred(X331)) = X331,
inference(variable_rename,[status(thm)],[succ_pred]) ).
fof(i_0_117,negated_conjecture,
( epred2_0
& leq(n0,esk24_0)
& leq(esk24_0,pred(pv57))
& leq(n0,esk25_0)
& leq(esk25_0,n5)
& ( pv57 != esk25_0
| esk25_0 != esk24_0 )
& pv57 != esk24_0
& a_select3(id_ds1_filter,esk24_0,esk25_0) != a_select3(id_ds1_filter,esk25_0,esk24_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_95])])]) ).
fof(i_0_118,plain,
! [X320] : plus(n1,X320) = succ(X320),
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,
! [X305,X306,X307,X308,X309,X310,X311,X312,X315,X316] :
( ( leq(n0,esk19_7(X305,X306,X307,X308,X309,X310,X311))
| ~ epred1_4(X305,X311,X312,X308)
| ~ leq(n0,X315)
| ~ leq(X315,X311)
| ~ leq(n0,X316)
| ~ leq(X316,X311)
| a_select3(tptp_madd(X305,tptp_mmul(X306,tptp_mmul(tptp_madd(tptp_mmul(X307,tptp_mmul(X308,trans(X307))),tptp_mmul(X309,tptp_mmul(X310,trans(X309)))),trans(X306)))),X315,X316) = a_select3(tptp_madd(X305,tptp_mmul(X306,tptp_mmul(tptp_madd(tptp_mmul(X307,tptp_mmul(X308,trans(X307))),tptp_mmul(X309,tptp_mmul(X310,trans(X309)))),trans(X306)))),X316,X315) )
& ( leq(esk19_7(X305,X306,X307,X308,X309,X310,X311),X311)
| ~ epred1_4(X305,X311,X312,X308)
| ~ leq(n0,X315)
| ~ leq(X315,X311)
| ~ leq(n0,X316)
| ~ leq(X316,X311)
| a_select3(tptp_madd(X305,tptp_mmul(X306,tptp_mmul(tptp_madd(tptp_mmul(X307,tptp_mmul(X308,trans(X307))),tptp_mmul(X309,tptp_mmul(X310,trans(X309)))),trans(X306)))),X315,X316) = a_select3(tptp_madd(X305,tptp_mmul(X306,tptp_mmul(tptp_madd(tptp_mmul(X307,tptp_mmul(X308,trans(X307))),tptp_mmul(X309,tptp_mmul(X310,trans(X309)))),trans(X306)))),X316,X315) )
& ( leq(n0,esk20_7(X305,X306,X307,X308,X309,X310,X311))
| ~ epred1_4(X305,X311,X312,X308)
| ~ leq(n0,X315)
| ~ leq(X315,X311)
| ~ leq(n0,X316)
| ~ leq(X316,X311)
| a_select3(tptp_madd(X305,tptp_mmul(X306,tptp_mmul(tptp_madd(tptp_mmul(X307,tptp_mmul(X308,trans(X307))),tptp_mmul(X309,tptp_mmul(X310,trans(X309)))),trans(X306)))),X315,X316) = a_select3(tptp_madd(X305,tptp_mmul(X306,tptp_mmul(tptp_madd(tptp_mmul(X307,tptp_mmul(X308,trans(X307))),tptp_mmul(X309,tptp_mmul(X310,trans(X309)))),trans(X306)))),X316,X315) )
& ( leq(esk20_7(X305,X306,X307,X308,X309,X310,X311),X311)
| ~ epred1_4(X305,X311,X312,X308)
| ~ leq(n0,X315)
| ~ leq(X315,X311)
| ~ leq(n0,X316)
| ~ leq(X316,X311)
| a_select3(tptp_madd(X305,tptp_mmul(X306,tptp_mmul(tptp_madd(tptp_mmul(X307,tptp_mmul(X308,trans(X307))),tptp_mmul(X309,tptp_mmul(X310,trans(X309)))),trans(X306)))),X315,X316) = a_select3(tptp_madd(X305,tptp_mmul(X306,tptp_mmul(tptp_madd(tptp_mmul(X307,tptp_mmul(X308,trans(X307))),tptp_mmul(X309,tptp_mmul(X310,trans(X309)))),trans(X306)))),X316,X315) )
& ( a_select3(X310,esk19_7(X305,X306,X307,X308,X309,X310,X311),esk20_7(X305,X306,X307,X308,X309,X310,X311)) != a_select3(X310,esk20_7(X305,X306,X307,X308,X309,X310,X311),esk19_7(X305,X306,X307,X308,X309,X310,X311))
| ~ epred1_4(X305,X311,X312,X308)
| ~ leq(n0,X315)
| ~ leq(X315,X311)
| ~ leq(n0,X316)
| ~ leq(X316,X311)
| a_select3(tptp_madd(X305,tptp_mmul(X306,tptp_mmul(tptp_madd(tptp_mmul(X307,tptp_mmul(X308,trans(X307))),tptp_mmul(X309,tptp_mmul(X310,trans(X309)))),trans(X306)))),X315,X316) = a_select3(tptp_madd(X305,tptp_mmul(X306,tptp_mmul(tptp_madd(tptp_mmul(X307,tptp_mmul(X308,trans(X307))),tptp_mmul(X309,tptp_mmul(X310,trans(X309)))),trans(X306)))),X316,X315) ) ),
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,
! [X349,X350,X351,X352,X353,X354] :
( ( leq(n0,esk21_6(X349,X350,X351,X352,X353,X354))
| ~ leq(n0,X349)
| ~ leq(X349,X351)
| ~ leq(n0,X350)
| ~ leq(X350,X352)
| a_select3(tptp_update3(X353,X351,X352,X354),X349,X350) = X354 )
& ( leq(n0,esk22_6(X349,X350,X351,X352,X353,X354))
| ~ leq(n0,X349)
| ~ leq(X349,X351)
| ~ leq(n0,X350)
| ~ leq(X350,X352)
| a_select3(tptp_update3(X353,X351,X352,X354),X349,X350) = X354 )
& ( leq(esk21_6(X349,X350,X351,X352,X353,X354),X351)
| ~ leq(n0,X349)
| ~ leq(X349,X351)
| ~ leq(n0,X350)
| ~ leq(X350,X352)
| a_select3(tptp_update3(X353,X351,X352,X354),X349,X350) = X354 )
& ( leq(esk22_6(X349,X350,X351,X352,X353,X354),X352)
| ~ leq(n0,X349)
| ~ leq(X349,X351)
| ~ leq(n0,X350)
| ~ leq(X350,X352)
| a_select3(tptp_update3(X353,X351,X352,X354),X349,X350) = X354 )
& ( a_select3(X353,esk21_6(X349,X350,X351,X352,X353,X354),esk22_6(X349,X350,X351,X352,X353,X354)) != X354
| ~ leq(n0,X349)
| ~ leq(X349,X351)
| ~ leq(n0,X350)
| ~ leq(X350,X352)
| a_select3(tptp_update3(X353,X351,X352,X354),X349,X350) = X354 ) ),
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,
! [X378,X379,X380,X381] :
( ( leq(n0,esk28_4(X378,X379,X380,X381))
| leq(n0,esk26_4(X378,X379,X380,X381))
| epred1_4(X381,X380,X379,X378) )
& ( leq(esk28_4(X378,X379,X380,X381),X380)
| leq(n0,esk26_4(X378,X379,X380,X381))
| epred1_4(X381,X380,X379,X378) )
& ( leq(n0,esk29_4(X378,X379,X380,X381))
| leq(n0,esk26_4(X378,X379,X380,X381))
| epred1_4(X381,X380,X379,X378) )
& ( leq(esk29_4(X378,X379,X380,X381),X380)
| leq(n0,esk26_4(X378,X379,X380,X381))
| epred1_4(X381,X380,X379,X378) )
& ( a_select3(X381,esk28_4(X378,X379,X380,X381),esk29_4(X378,X379,X380,X381)) != a_select3(X381,esk29_4(X378,X379,X380,X381),esk28_4(X378,X379,X380,X381))
| leq(n0,esk26_4(X378,X379,X380,X381))
| epred1_4(X381,X380,X379,X378) )
& ( leq(n0,esk28_4(X378,X379,X380,X381))
| leq(esk26_4(X378,X379,X380,X381),X379)
| epred1_4(X381,X380,X379,X378) )
& ( leq(esk28_4(X378,X379,X380,X381),X380)
| leq(esk26_4(X378,X379,X380,X381),X379)
| epred1_4(X381,X380,X379,X378) )
& ( leq(n0,esk29_4(X378,X379,X380,X381))
| leq(esk26_4(X378,X379,X380,X381),X379)
| epred1_4(X381,X380,X379,X378) )
& ( leq(esk29_4(X378,X379,X380,X381),X380)
| leq(esk26_4(X378,X379,X380,X381),X379)
| epred1_4(X381,X380,X379,X378) )
& ( a_select3(X381,esk28_4(X378,X379,X380,X381),esk29_4(X378,X379,X380,X381)) != a_select3(X381,esk29_4(X378,X379,X380,X381),esk28_4(X378,X379,X380,X381))
| leq(esk26_4(X378,X379,X380,X381),X379)
| epred1_4(X381,X380,X379,X378) )
& ( leq(n0,esk28_4(X378,X379,X380,X381))
| leq(n0,esk27_4(X378,X379,X380,X381))
| epred1_4(X381,X380,X379,X378) )
& ( leq(esk28_4(X378,X379,X380,X381),X380)
| leq(n0,esk27_4(X378,X379,X380,X381))
| epred1_4(X381,X380,X379,X378) )
& ( leq(n0,esk29_4(X378,X379,X380,X381))
| leq(n0,esk27_4(X378,X379,X380,X381))
| epred1_4(X381,X380,X379,X378) )
& ( leq(esk29_4(X378,X379,X380,X381),X380)
| leq(n0,esk27_4(X378,X379,X380,X381))
| epred1_4(X381,X380,X379,X378) )
& ( a_select3(X381,esk28_4(X378,X379,X380,X381),esk29_4(X378,X379,X380,X381)) != a_select3(X381,esk29_4(X378,X379,X380,X381),esk28_4(X378,X379,X380,X381))
| leq(n0,esk27_4(X378,X379,X380,X381))
| epred1_4(X381,X380,X379,X378) )
& ( leq(n0,esk28_4(X378,X379,X380,X381))
| leq(esk27_4(X378,X379,X380,X381),X379)
| epred1_4(X381,X380,X379,X378) )
& ( leq(esk28_4(X378,X379,X380,X381),X380)
| leq(esk27_4(X378,X379,X380,X381),X379)
| epred1_4(X381,X380,X379,X378) )
& ( leq(n0,esk29_4(X378,X379,X380,X381))
| leq(esk27_4(X378,X379,X380,X381),X379)
| epred1_4(X381,X380,X379,X378) )
& ( leq(esk29_4(X378,X379,X380,X381),X380)
| leq(esk27_4(X378,X379,X380,X381),X379)
| epred1_4(X381,X380,X379,X378) )
& ( a_select3(X381,esk28_4(X378,X379,X380,X381),esk29_4(X378,X379,X380,X381)) != a_select3(X381,esk29_4(X378,X379,X380,X381),esk28_4(X378,X379,X380,X381))
| leq(esk27_4(X378,X379,X380,X381),X379)
| epred1_4(X381,X380,X379,X378) )
& ( leq(n0,esk28_4(X378,X379,X380,X381))
| a_select3(X378,esk26_4(X378,X379,X380,X381),esk27_4(X378,X379,X380,X381)) != a_select3(X378,esk27_4(X378,X379,X380,X381),esk26_4(X378,X379,X380,X381))
| epred1_4(X381,X380,X379,X378) )
& ( leq(esk28_4(X378,X379,X380,X381),X380)
| a_select3(X378,esk26_4(X378,X379,X380,X381),esk27_4(X378,X379,X380,X381)) != a_select3(X378,esk27_4(X378,X379,X380,X381),esk26_4(X378,X379,X380,X381))
| epred1_4(X381,X380,X379,X378) )
& ( leq(n0,esk29_4(X378,X379,X380,X381))
| a_select3(X378,esk26_4(X378,X379,X380,X381),esk27_4(X378,X379,X380,X381)) != a_select3(X378,esk27_4(X378,X379,X380,X381),esk26_4(X378,X379,X380,X381))
| epred1_4(X381,X380,X379,X378) )
& ( leq(esk29_4(X378,X379,X380,X381),X380)
| a_select3(X378,esk26_4(X378,X379,X380,X381),esk27_4(X378,X379,X380,X381)) != a_select3(X378,esk27_4(X378,X379,X380,X381),esk26_4(X378,X379,X380,X381))
| epred1_4(X381,X380,X379,X378) )
& ( a_select3(X381,esk28_4(X378,X379,X380,X381),esk29_4(X378,X379,X380,X381)) != a_select3(X381,esk29_4(X378,X379,X380,X381),esk28_4(X378,X379,X380,X381))
| a_select3(X378,esk26_4(X378,X379,X380,X381),esk27_4(X378,X379,X380,X381)) != a_select3(X378,esk27_4(X378,X379,X380,X381),esk26_4(X378,X379,X380,X381))
| epred1_4(X381,X380,X379,X378) ) ),
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,
! [X281,X282,X283,X288,X289] :
( ( leq(n0,esk13_3(X281,X282,X283))
| leq(n0,esk11_3(X281,X282,X283))
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( leq(esk13_3(X281,X282,X283),X283)
| leq(n0,esk11_3(X281,X282,X283))
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( leq(n0,esk14_3(X281,X282,X283))
| leq(n0,esk11_3(X281,X282,X283))
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( leq(esk14_3(X281,X282,X283),X283)
| leq(n0,esk11_3(X281,X282,X283))
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( a_select3(X282,esk13_3(X281,X282,X283),esk14_3(X281,X282,X283)) != a_select3(X282,esk14_3(X281,X282,X283),esk13_3(X281,X282,X283))
| leq(n0,esk11_3(X281,X282,X283))
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( leq(n0,esk13_3(X281,X282,X283))
| leq(esk11_3(X281,X282,X283),X283)
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( leq(esk13_3(X281,X282,X283),X283)
| leq(esk11_3(X281,X282,X283),X283)
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( leq(n0,esk14_3(X281,X282,X283))
| leq(esk11_3(X281,X282,X283),X283)
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( leq(esk14_3(X281,X282,X283),X283)
| leq(esk11_3(X281,X282,X283),X283)
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( a_select3(X282,esk13_3(X281,X282,X283),esk14_3(X281,X282,X283)) != a_select3(X282,esk14_3(X281,X282,X283),esk13_3(X281,X282,X283))
| leq(esk11_3(X281,X282,X283),X283)
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( leq(n0,esk13_3(X281,X282,X283))
| leq(n0,esk12_3(X281,X282,X283))
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( leq(esk13_3(X281,X282,X283),X283)
| leq(n0,esk12_3(X281,X282,X283))
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( leq(n0,esk14_3(X281,X282,X283))
| leq(n0,esk12_3(X281,X282,X283))
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( leq(esk14_3(X281,X282,X283),X283)
| leq(n0,esk12_3(X281,X282,X283))
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( a_select3(X282,esk13_3(X281,X282,X283),esk14_3(X281,X282,X283)) != a_select3(X282,esk14_3(X281,X282,X283),esk13_3(X281,X282,X283))
| leq(n0,esk12_3(X281,X282,X283))
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( leq(n0,esk13_3(X281,X282,X283))
| leq(esk12_3(X281,X282,X283),X283)
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( leq(esk13_3(X281,X282,X283),X283)
| leq(esk12_3(X281,X282,X283),X283)
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( leq(n0,esk14_3(X281,X282,X283))
| leq(esk12_3(X281,X282,X283),X283)
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( leq(esk14_3(X281,X282,X283),X283)
| leq(esk12_3(X281,X282,X283),X283)
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( a_select3(X282,esk13_3(X281,X282,X283),esk14_3(X281,X282,X283)) != a_select3(X282,esk14_3(X281,X282,X283),esk13_3(X281,X282,X283))
| leq(esk12_3(X281,X282,X283),X283)
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( leq(n0,esk13_3(X281,X282,X283))
| a_select3(X281,esk11_3(X281,X282,X283),esk12_3(X281,X282,X283)) != a_select3(X281,esk12_3(X281,X282,X283),esk11_3(X281,X282,X283))
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( leq(esk13_3(X281,X282,X283),X283)
| a_select3(X281,esk11_3(X281,X282,X283),esk12_3(X281,X282,X283)) != a_select3(X281,esk12_3(X281,X282,X283),esk11_3(X281,X282,X283))
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( leq(n0,esk14_3(X281,X282,X283))
| a_select3(X281,esk11_3(X281,X282,X283),esk12_3(X281,X282,X283)) != a_select3(X281,esk12_3(X281,X282,X283),esk11_3(X281,X282,X283))
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( leq(esk14_3(X281,X282,X283),X283)
| a_select3(X281,esk11_3(X281,X282,X283),esk12_3(X281,X282,X283)) != a_select3(X281,esk12_3(X281,X282,X283),esk11_3(X281,X282,X283))
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) )
& ( a_select3(X282,esk13_3(X281,X282,X283),esk14_3(X281,X282,X283)) != a_select3(X282,esk14_3(X281,X282,X283),esk13_3(X281,X282,X283))
| a_select3(X281,esk11_3(X281,X282,X283),esk12_3(X281,X282,X283)) != a_select3(X281,esk12_3(X281,X282,X283),esk11_3(X281,X282,X283))
| ~ leq(n0,X288)
| ~ leq(X288,X283)
| ~ leq(n0,X289)
| ~ leq(X289,X283)
| a_select3(tptp_msub(X281,X282),X288,X289) = a_select3(tptp_msub(X281,X282),X289,X288) ) ),
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,
! [X272,X273,X274,X279,X280] :
( ( leq(n0,esk9_3(X272,X273,X274))
| leq(n0,esk7_3(X272,X273,X274))
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( leq(esk9_3(X272,X273,X274),X274)
| leq(n0,esk7_3(X272,X273,X274))
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( leq(n0,esk10_3(X272,X273,X274))
| leq(n0,esk7_3(X272,X273,X274))
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( leq(esk10_3(X272,X273,X274),X274)
| leq(n0,esk7_3(X272,X273,X274))
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( a_select3(X273,esk9_3(X272,X273,X274),esk10_3(X272,X273,X274)) != a_select3(X273,esk10_3(X272,X273,X274),esk9_3(X272,X273,X274))
| leq(n0,esk7_3(X272,X273,X274))
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( leq(n0,esk9_3(X272,X273,X274))
| leq(esk7_3(X272,X273,X274),X274)
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( leq(esk9_3(X272,X273,X274),X274)
| leq(esk7_3(X272,X273,X274),X274)
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( leq(n0,esk10_3(X272,X273,X274))
| leq(esk7_3(X272,X273,X274),X274)
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( leq(esk10_3(X272,X273,X274),X274)
| leq(esk7_3(X272,X273,X274),X274)
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( a_select3(X273,esk9_3(X272,X273,X274),esk10_3(X272,X273,X274)) != a_select3(X273,esk10_3(X272,X273,X274),esk9_3(X272,X273,X274))
| leq(esk7_3(X272,X273,X274),X274)
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( leq(n0,esk9_3(X272,X273,X274))
| leq(n0,esk8_3(X272,X273,X274))
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( leq(esk9_3(X272,X273,X274),X274)
| leq(n0,esk8_3(X272,X273,X274))
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( leq(n0,esk10_3(X272,X273,X274))
| leq(n0,esk8_3(X272,X273,X274))
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( leq(esk10_3(X272,X273,X274),X274)
| leq(n0,esk8_3(X272,X273,X274))
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( a_select3(X273,esk9_3(X272,X273,X274),esk10_3(X272,X273,X274)) != a_select3(X273,esk10_3(X272,X273,X274),esk9_3(X272,X273,X274))
| leq(n0,esk8_3(X272,X273,X274))
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( leq(n0,esk9_3(X272,X273,X274))
| leq(esk8_3(X272,X273,X274),X274)
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( leq(esk9_3(X272,X273,X274),X274)
| leq(esk8_3(X272,X273,X274),X274)
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( leq(n0,esk10_3(X272,X273,X274))
| leq(esk8_3(X272,X273,X274),X274)
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( leq(esk10_3(X272,X273,X274),X274)
| leq(esk8_3(X272,X273,X274),X274)
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( a_select3(X273,esk9_3(X272,X273,X274),esk10_3(X272,X273,X274)) != a_select3(X273,esk10_3(X272,X273,X274),esk9_3(X272,X273,X274))
| leq(esk8_3(X272,X273,X274),X274)
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( leq(n0,esk9_3(X272,X273,X274))
| a_select3(X272,esk7_3(X272,X273,X274),esk8_3(X272,X273,X274)) != a_select3(X272,esk8_3(X272,X273,X274),esk7_3(X272,X273,X274))
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( leq(esk9_3(X272,X273,X274),X274)
| a_select3(X272,esk7_3(X272,X273,X274),esk8_3(X272,X273,X274)) != a_select3(X272,esk8_3(X272,X273,X274),esk7_3(X272,X273,X274))
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( leq(n0,esk10_3(X272,X273,X274))
| a_select3(X272,esk7_3(X272,X273,X274),esk8_3(X272,X273,X274)) != a_select3(X272,esk8_3(X272,X273,X274),esk7_3(X272,X273,X274))
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( leq(esk10_3(X272,X273,X274),X274)
| a_select3(X272,esk7_3(X272,X273,X274),esk8_3(X272,X273,X274)) != a_select3(X272,esk8_3(X272,X273,X274),esk7_3(X272,X273,X274))
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) )
& ( a_select3(X273,esk9_3(X272,X273,X274),esk10_3(X272,X273,X274)) != a_select3(X273,esk10_3(X272,X273,X274),esk9_3(X272,X273,X274))
| a_select3(X272,esk7_3(X272,X273,X274),esk8_3(X272,X273,X274)) != a_select3(X272,esk8_3(X272,X273,X274),esk7_3(X272,X273,X274))
| ~ leq(n0,X279)
| ~ leq(X279,X274)
| ~ leq(n0,X280)
| ~ leq(X280,X274)
| a_select3(tptp_madd(X272,X273),X279,X280) = a_select3(tptp_madd(X272,X273),X280,X279) ) ),
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,
! [X264,X265,X268,X269,X270,X271] :
( ( leq(n0,esk5_2(X264,X265))
| ~ leq(n0,X268)
| ~ leq(X268,X265)
| ~ leq(n0,X269)
| ~ leq(X269,X265)
| ~ leq(n0,X270)
| ~ leq(X270,X265)
| a_select3(tptp_update3(X264,X270,X270,X271),X268,X269) = a_select3(tptp_update3(X264,X270,X270,X271),X269,X268) )
& ( leq(esk5_2(X264,X265),X265)
| ~ leq(n0,X268)
| ~ leq(X268,X265)
| ~ leq(n0,X269)
| ~ leq(X269,X265)
| ~ leq(n0,X270)
| ~ leq(X270,X265)
| a_select3(tptp_update3(X264,X270,X270,X271),X268,X269) = a_select3(tptp_update3(X264,X270,X270,X271),X269,X268) )
& ( leq(n0,esk6_2(X264,X265))
| ~ leq(n0,X268)
| ~ leq(X268,X265)
| ~ leq(n0,X269)
| ~ leq(X269,X265)
| ~ leq(n0,X270)
| ~ leq(X270,X265)
| a_select3(tptp_update3(X264,X270,X270,X271),X268,X269) = a_select3(tptp_update3(X264,X270,X270,X271),X269,X268) )
& ( leq(esk6_2(X264,X265),X265)
| ~ leq(n0,X268)
| ~ leq(X268,X265)
| ~ leq(n0,X269)
| ~ leq(X269,X265)
| ~ leq(n0,X270)
| ~ leq(X270,X265)
| a_select3(tptp_update3(X264,X270,X270,X271),X268,X269) = a_select3(tptp_update3(X264,X270,X270,X271),X269,X268) )
& ( a_select3(X264,esk5_2(X264,X265),esk6_2(X264,X265)) != a_select3(X264,esk6_2(X264,X265),esk5_2(X264,X265))
| ~ leq(n0,X268)
| ~ leq(X268,X265)
| ~ leq(n0,X269)
| ~ leq(X269,X265)
| ~ leq(n0,X270)
| ~ leq(X270,X265)
| a_select3(tptp_update3(X264,X270,X270,X271),X268,X269) = a_select3(tptp_update3(X264,X270,X270,X271),X269,X268) ) ),
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,
! [X290,X291,X292,X295,X296] :
( ( leq(n0,esk15_3(X290,X291,X292))
| ~ leq(n0,X295)
| ~ leq(X295,X292)
| ~ leq(n0,X296)
| ~ leq(X296,X292)
| a_select3(tptp_mmul(X290,tptp_mmul(X291,trans(X290))),X295,X296) = a_select3(tptp_mmul(X290,tptp_mmul(X291,trans(X290))),X296,X295) )
& ( leq(esk15_3(X290,X291,X292),X292)
| ~ leq(n0,X295)
| ~ leq(X295,X292)
| ~ leq(n0,X296)
| ~ leq(X296,X292)
| a_select3(tptp_mmul(X290,tptp_mmul(X291,trans(X290))),X295,X296) = a_select3(tptp_mmul(X290,tptp_mmul(X291,trans(X290))),X296,X295) )
& ( leq(n0,esk16_3(X290,X291,X292))
| ~ leq(n0,X295)
| ~ leq(X295,X292)
| ~ leq(n0,X296)
| ~ leq(X296,X292)
| a_select3(tptp_mmul(X290,tptp_mmul(X291,trans(X290))),X295,X296) = a_select3(tptp_mmul(X290,tptp_mmul(X291,trans(X290))),X296,X295) )
& ( leq(esk16_3(X290,X291,X292),X292)
| ~ leq(n0,X295)
| ~ leq(X295,X292)
| ~ leq(n0,X296)
| ~ leq(X296,X292)
| a_select3(tptp_mmul(X290,tptp_mmul(X291,trans(X290))),X295,X296) = a_select3(tptp_mmul(X290,tptp_mmul(X291,trans(X290))),X296,X295) )
& ( a_select3(X291,esk15_3(X290,X291,X292),esk16_3(X290,X291,X292)) != a_select3(X291,esk16_3(X290,X291,X292),esk15_3(X290,X291,X292))
| ~ leq(n0,X295)
| ~ leq(X295,X292)
| ~ leq(n0,X296)
| ~ leq(X296,X292)
| a_select3(tptp_mmul(X290,tptp_mmul(X291,trans(X290))),X295,X296) = a_select3(tptp_mmul(X290,tptp_mmul(X291,trans(X290))),X296,X295) ) ),
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,
! [X297,X298,X299,X302,X303,X304] :
( ( leq(n0,esk17_3(X297,X298,X299))
| ~ leq(n0,X303)
| ~ leq(X303,X302)
| ~ leq(n0,X304)
| ~ leq(X304,X302)
| a_select3(tptp_mmul(X297,tptp_mmul(X298,trans(X297))),X303,X304) = a_select3(tptp_mmul(X297,tptp_mmul(X298,trans(X297))),X304,X303) )
& ( leq(esk17_3(X297,X298,X299),X299)
| ~ leq(n0,X303)
| ~ leq(X303,X302)
| ~ leq(n0,X304)
| ~ leq(X304,X302)
| a_select3(tptp_mmul(X297,tptp_mmul(X298,trans(X297))),X303,X304) = a_select3(tptp_mmul(X297,tptp_mmul(X298,trans(X297))),X304,X303) )
& ( leq(n0,esk18_3(X297,X298,X299))
| ~ leq(n0,X303)
| ~ leq(X303,X302)
| ~ leq(n0,X304)
| ~ leq(X304,X302)
| a_select3(tptp_mmul(X297,tptp_mmul(X298,trans(X297))),X303,X304) = a_select3(tptp_mmul(X297,tptp_mmul(X298,trans(X297))),X304,X303) )
& ( leq(esk18_3(X297,X298,X299),X299)
| ~ leq(n0,X303)
| ~ leq(X303,X302)
| ~ leq(n0,X304)
| ~ leq(X304,X302)
| a_select3(tptp_mmul(X297,tptp_mmul(X298,trans(X297))),X303,X304) = a_select3(tptp_mmul(X297,tptp_mmul(X298,trans(X297))),X304,X303) )
& ( a_select3(X298,esk17_3(X297,X298,X299),esk18_3(X297,X298,X299)) != a_select3(X298,esk18_3(X297,X298,X299),esk17_3(X297,X298,X299))
| ~ leq(n0,X303)
| ~ leq(X303,X302)
| ~ leq(n0,X304)
| ~ leq(X304,X302)
| a_select3(tptp_mmul(X297,tptp_mmul(X298,trans(X297))),X303,X304) = a_select3(tptp_mmul(X297,tptp_mmul(X298,trans(X297))),X304,X303) ) ),
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,
! [X365,X366,X367,X368] :
( ( leq(n0,esk23_4(X365,X366,X367,X368))
| ~ leq(n0,X365)
| ~ leq(X365,X366)
| a_select2(tptp_update2(X367,X366,X368),X365) = X368 )
& ( leq(esk23_4(X365,X366,X367,X368),X366)
| ~ leq(n0,X365)
| ~ leq(X365,X366)
| a_select2(tptp_update2(X367,X366,X368),X365) = X368 )
& ( a_select2(X367,esk23_4(X365,X366,X367,X368)) != X368
| ~ leq(n0,X365)
| ~ leq(X365,X366)
| a_select2(tptp_update2(X367,X366,X368),X365) = X368 ) ),
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,
! [X342,X343,X344,X345,X346,X347,X348] :
( X342 = X344
| X343 != X345
| a_select3(X346,X344,X345) != X347
| a_select3(tptp_update3(X346,X342,X343,X348),X344,X345) = X347 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sel3_update_2])]) ).
fof(i_0_130,plain,
! [X338,X339,X340,X341] : a_select3(tptp_update3(X338,X339,X340,X341),X339,X340) = X341,
inference(variable_rename,[status(thm)],[sel3_update_1]) ).
fof(i_0_131,plain,
! [X258,X259,X262,X263] :
( ( leq(n0,esk3_2(X258,X259))
| ~ leq(n0,X262)
| ~ leq(X262,X259)
| ~ leq(n0,X263)
| ~ leq(X263,X259)
| a_select3(inv(X258),X262,X263) = a_select3(inv(X258),X263,X262) )
& ( leq(esk3_2(X258,X259),X259)
| ~ leq(n0,X262)
| ~ leq(X262,X259)
| ~ leq(n0,X263)
| ~ leq(X263,X259)
| a_select3(inv(X258),X262,X263) = a_select3(inv(X258),X263,X262) )
& ( leq(n0,esk4_2(X258,X259))
| ~ leq(n0,X262)
| ~ leq(X262,X259)
| ~ leq(n0,X263)
| ~ leq(X263,X259)
| a_select3(inv(X258),X262,X263) = a_select3(inv(X258),X263,X262) )
& ( leq(esk4_2(X258,X259),X259)
| ~ leq(n0,X262)
| ~ leq(X262,X259)
| ~ leq(n0,X263)
| ~ leq(X263,X259)
| a_select3(inv(X258),X262,X263) = a_select3(inv(X258),X263,X262) )
& ( a_select3(X258,esk3_2(X258,X259),esk4_2(X258,X259)) != a_select3(X258,esk4_2(X258,X259),esk3_2(X258,X259))
| ~ leq(n0,X262)
| ~ leq(X262,X259)
| ~ leq(n0,X263)
| ~ leq(X263,X259)
| a_select3(inv(X258),X262,X263) = a_select3(inv(X258),X263,X262) ) ),
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,
! [X252,X253,X256,X257] :
( ( leq(n0,esk1_2(X252,X253))
| ~ leq(n0,X256)
| ~ leq(X256,X253)
| ~ leq(n0,X257)
| ~ leq(X257,X253)
| a_select3(trans(X252),X256,X257) = a_select3(trans(X252),X257,X256) )
& ( leq(esk1_2(X252,X253),X253)
| ~ leq(n0,X256)
| ~ leq(X256,X253)
| ~ leq(n0,X257)
| ~ leq(X257,X253)
| a_select3(trans(X252),X256,X257) = a_select3(trans(X252),X257,X256) )
& ( leq(n0,esk2_2(X252,X253))
| ~ leq(n0,X256)
| ~ leq(X256,X253)
| ~ leq(n0,X257)
| ~ leq(X257,X253)
| a_select3(trans(X252),X256,X257) = a_select3(trans(X252),X257,X256) )
& ( leq(esk2_2(X252,X253),X253)
| ~ leq(n0,X256)
| ~ leq(X256,X253)
| ~ leq(n0,X257)
| ~ leq(X257,X253)
| a_select3(trans(X252),X256,X257) = a_select3(trans(X252),X257,X256) )
& ( a_select3(X252,esk1_2(X252,X253),esk2_2(X252,X253)) != a_select3(X252,esk2_2(X252,X253),esk1_2(X252,X253))
| ~ leq(n0,X256)
| ~ leq(X256,X253)
| ~ leq(n0,X257)
| ~ leq(X257,X253)
| a_select3(trans(X252),X256,X257) = a_select3(trans(X252),X257,X256) ) ),
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,
! [X245,X246,X247,X248,X249,X250,X251] :
( ~ leq(X246,X245)
| ~ leq(X245,X247)
| ~ leq(X249,X248)
| ~ leq(X248,X250)
| a_select3(tptp_const_array2(dim(X246,X247),dim(X249,X250),X251),X245,X248) = X251 ),
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,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ leq(n0,X1)
| ~ leq(X1,pred(pv57))
| ~ leq(n0,X2)
| ~ leq(X2,n5)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]) ).
cnf(i_0_139,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[i_0_102]) ).
cnf(i_0_140,plain,
plus(n4,X1) = succ(succ(succ(succ(X1)))),
inference(split_conjunct,[status(thm)],[i_0_103]) ).
cnf(i_0_141,plain,
plus(X1,n4) = succ(succ(succ(succ(X1)))),
inference(split_conjunct,[status(thm)],[i_0_104]) ).
cnf(i_0_142,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
fof(i_0_143,plain,
! [X360,X361,X362,X363,X364] :
( X360 = X361
| a_select2(X362,X361) != X363
| a_select2(tptp_update2(X362,X360,X364),X361) = X363 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sel2_update_2])]) ).
fof(i_0_144,plain,
! [X241,X242,X243,X244] :
( ~ leq(X242,X241)
| ~ leq(X241,X243)
| a_select2(tptp_const_array1(dim(X242,X243),X244),X241) = X244 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[const_array1_select])]) ).
fof(i_0_145,plain,
! [X357,X358,X359] : a_select2(tptp_update2(X357,X358,X359),X358) = X359,
inference(variable_rename,[status(thm)],[sel2_update_1]) ).
cnf(i_0_146,plain,
( leq(X1,X2)
| ~ leq(succ(X1),succ(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_105]) ).
cnf(i_0_147,plain,
plus(n3,X1) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[i_0_106]) ).
cnf(i_0_148,plain,
plus(X1,n3) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[i_0_107]) ).
cnf(i_0_149,plain,
( leq(succ(X1),succ(X2))
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_105]) ).
fof(i_0_150,plain,
! [X336,X337] :
( ~ leq(minus(X336,X337),X336)
| leq(n0,X337) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_minus])]) ).
cnf(i_0_151,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(i_0_152,plain,
( leq(X2,X1)
| ~ gt(succ(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_108]) ).
cnf(i_0_153,plain,
( gt(X2,X1)
| ~ leq(succ(X1),X2) ),
inference(split_conjunct,[status(thm)],[i_0_109]) ).
cnf(i_0_154,plain,
( gt(X2,X1)
| ~ leq(X1,pred(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_110]) ).
fof(i_0_155,plain,
! [X237,X238] :
( ~ leq(n0,X237)
| leq(uniform_int_rnd(X238,X237),X237) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[uniform_int_rand_ranges_hi])]) ).
cnf(i_0_156,plain,
( gt(succ(X2),X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_108]) ).
cnf(i_0_157,plain,
( leq(X1,succ(X2))
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_111]) ).
cnf(i_0_158,plain,
( leq(X2,pred(X1))
| ~ gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_110]) ).
fof(i_0_159,plain,
! [X219,X220,X221] :
( ~ leq(X219,X220)
| ~ leq(X220,X221)
| leq(X219,X221) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_leq])]) ).
fof(i_0_160,plain,
! [X214,X215,X216] :
( ~ gt(X214,X215)
| ~ gt(X215,X216)
| gt(X214,X216) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity_gt])]) ).
fof(i_0_161,plain,
! [X239,X240] :
( ~ leq(n0,X239)
| leq(n0,uniform_int_rnd(X240,X239)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[uniform_int_rand_ranges_lo])]) ).
fof(i_0_162,plain,
! [X317] : sum(n0,tptp_minus_1,X317) = n0,
inference(variable_rename,[status(thm)],[sum_plus_base]) ).
fof(i_0_163,plain,
! [X318] : tptp_float_0_0 = sum(n0,tptp_minus_1,X318),
inference(variable_rename,[status(thm)],[sum_plus_base_float]) ).
fof(i_0_164,plain,
! [X373] :
( ~ leq(n0,X373)
| ~ leq(X373,n5)
| X373 = n0
| X373 = n1
| X373 = n2
| X373 = n3
| X373 = n4
| X373 = n5 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_5])]) ).
fof(i_0_165,plain,
! [X372] :
( ~ leq(n0,X372)
| ~ leq(X372,n4)
| X372 = n0
| X372 = n1
| X372 = n2
| X372 = n3
| X372 = n4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_4])]) ).
cnf(i_0_166,plain,
plus(n2,X1) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[i_0_112]) ).
cnf(i_0_167,plain,
plus(X1,n2) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[i_0_113]) ).
fof(i_0_168,plain,
! [X377] :
( ~ leq(n0,X377)
| ~ leq(X377,n3)
| X377 = n0
| X377 = n1
| X377 = n2
| X377 = n3 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_3])]) ).
fof(i_0_169,plain,
! [X376] :
( ~ leq(n0,X376)
| ~ leq(X376,n2)
| X376 = n0
| X376 = n1
| X376 = n2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_2])]) ).
fof(i_0_170,plain,
! [X375] :
( ~ leq(n0,X375)
| ~ leq(X375,n1)
| X375 = n0
| X375 = n1 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_1])]) ).
fof(i_0_171,plain,
! [X374] :
( ~ leq(n0,X374)
| ~ leq(X374,n0)
| X374 = n0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_0])]) ).
fof(i_0_172,plain,
! [X228,X229] :
( ~ leq(X228,X229)
| X228 = X229
| gt(X229,X228) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt2])]) ).
cnf(i_0_173,plain,
gt(succ(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_114]) ).
fof(i_0_174,plain,
! [X224,X225] :
( ( ~ geq(X224,X225)
| leq(X225,X224) )
& ( ~ leq(X225,X224)
| geq(X224,X225) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_geq])]) ).
fof(i_0_175,plain,
! [X222,X223] :
( ( ~ lt(X222,X223)
| gt(X223,X222) )
& ( ~ gt(X223,X222)
| lt(X222,X223) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lt_gt])]) ).
fof(i_0_176,plain,
! [X226,X227] :
( ~ gt(X227,X226)
| leq(X226,X227) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt1])]) ).
cnf(i_0_177,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[i_0_115]) ).
cnf(i_0_178,plain,
succ(pred(X1)) = X1,
inference(split_conjunct,[status(thm)],[i_0_116]) ).
cnf(i_0_179,negated_conjecture,
leq(esk24_0,pred(pv57)),
inference(split_conjunct,[status(thm)],[i_0_117]) ).
cnf(i_0_180,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
fof(i_0_181,plain,
! [X212,X213] :
( gt(X212,X213)
| gt(X213,X212)
| X212 = X213 ),
inference(variable_rename,[status(thm)],[totality]) ).
cnf(i_0_182,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[i_0_118]) ).
fof(i_0_183,plain,
! [X217] : ~ gt(X217,X217),
inference(variable_rename,[status(thm)],[i_0_119]) ).
fof(i_0_184,plain,
! [X218] : leq(X218,X218),
inference(variable_rename,[status(thm)],[reflexivity_leq]) ).
cnf(i_0_185,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
cnf(i_0_186,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
cnf(i_0_187,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_188,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_189,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_190,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_191,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_192,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_193,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_194,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_195,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_196,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_197,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_198,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_199,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_200,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_201,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_202,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_203,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_204,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_205,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_206,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_207,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_208,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_209,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_210,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_211,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_212,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_213,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_214,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_215,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_216,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_217,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_218,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_219,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_220,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_221,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_222,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_223,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_224,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_225,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_226,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_227,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_228,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_229,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_230,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_231,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_232,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_233,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_234,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_235,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_236,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_237,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_238,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_239,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_240,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_241,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_242,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_243,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_244,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_245,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_246,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_247,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_248,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_249,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_250,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_251,plain,
a_select3(tptp_update3(X1,X2,X3,X4),X2,X3) = X4,
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_252,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_253,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_254,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_255,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_256,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_257,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_258,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_259,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_260,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_261,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_262,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_263,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_264,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_265,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_266,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_267,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_268,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_269,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_270,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_271,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_272,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_273,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_274,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_275,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_276,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_277,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_278,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_279,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_280,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_281,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_282,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_283,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_284,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_285,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_286,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_287,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_288,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_289,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_290,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_291,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_292,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_293,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_294,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_295,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_296,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_297,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_298,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_299,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_300,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_301,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_302,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_303,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_304,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_305,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_306,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ epred2_0
| ~ leq(X2,n5)
| ~ leq(n0,X2)
| ~ leq(n0,X1)
| ~ leq(X1,minus(pv57,n1)) ),
inference(rw,[status(thm)],[i_0_138,c_0_139]),
[final] ).
cnf(i_0_307,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n5)
| ~ leq(X2,n5)
| X1 != pv57
| ~ gt(pv58,X2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_308,plain,
( a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n5)
| ~ leq(X2,n5)
| ~ gt(pv57,X1)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_309,plain,
( a_select3(pminus_ds1_filter,X1,X2) = a_select3(pminus_ds1_filter,X2,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n5)
| ~ leq(X2,n5)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_310,plain,
( a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n2)
| ~ leq(X2,n2)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_311,plain,
( a_select3(q_ds1_filter,X1,X2) = a_select3(q_ds1_filter,X2,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n5)
| ~ leq(X2,n5)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_312,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_140,c_0_134]),c_0_134]),c_0_134]),c_0_134]),
[final] ).
cnf(i_0_313,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_141,c_0_134]),c_0_134]),c_0_134]),c_0_134]),
[final] ).
cnf(i_0_314,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_142,c_0_134]),c_0_134]),c_0_134]),c_0_134]),
[final] ).
cnf(i_0_315,negated_conjecture,
a_select3(id_ds1_filter,esk24_0,esk25_0) != a_select3(id_ds1_filter,esk25_0,esk24_0),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_316,plain,
( X1 = X2
| a_select2(tptp_update2(X3,X1,X5),X2) = X4
| a_select2(X3,X2) != X4 ),
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_317,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_144]),
[final] ).
cnf(i_0_318,plain,
a_select2(tptp_update2(X1,X2,X3),X2) = X3,
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_319,plain,
( leq(X1,X2)
| ~ leq(plus(X1,n1),plus(X2,n1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_146,c_0_134]),c_0_134]),
[final] ).
cnf(i_0_320,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_147,c_0_134]),c_0_134]),c_0_134]),
[final] ).
cnf(i_0_321,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_148,c_0_134]),c_0_134]),c_0_134]),
[final] ).
cnf(i_0_322,plain,
( leq(plus(X1,n1),plus(X2,n1))
| ~ leq(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_149,c_0_134]),c_0_134]),
[final] ).
cnf(i_0_323,plain,
( leq(n0,X2)
| ~ leq(minus(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_324,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_151,c_0_134]),c_0_134]),c_0_134]),
[final] ).
cnf(i_0_325,plain,
( leq(X2,X1)
| ~ gt(plus(X1,n1),X2) ),
inference(rw,[status(thm)],[i_0_152,c_0_134]),
[final] ).
cnf(i_0_326,plain,
( gt(X2,X1)
| ~ leq(plus(X1,n1),X2) ),
inference(rw,[status(thm)],[i_0_153,c_0_134]),
[final] ).
cnf(i_0_327,plain,
( gt(X2,X1)
| ~ leq(X1,minus(X2,n1)) ),
inference(rw,[status(thm)],[i_0_154,c_0_139]),
[final] ).
cnf(i_0_328,plain,
( leq(uniform_int_rnd(X2,X1),X1)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[i_0_155]),
[final] ).
cnf(i_0_329,plain,
( gt(plus(X2,n1),X1)
| ~ leq(X1,X2) ),
inference(rw,[status(thm)],[i_0_156,c_0_134]),
[final] ).
cnf(i_0_330,plain,
( leq(X1,plus(X2,n1))
| ~ leq(X1,X2) ),
inference(rw,[status(thm)],[i_0_157,c_0_134]),
[final] ).
cnf(i_0_331,plain,
( leq(X2,minus(X1,n1))
| ~ gt(X1,X2) ),
inference(rw,[status(thm)],[i_0_158,c_0_139]),
[final] ).
cnf(i_0_332,plain,
( leq(X1,X3)
| ~ leq(X1,X2)
| ~ leq(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_159]),
[final] ).
cnf(i_0_333,plain,
( gt(X1,X3)
| ~ gt(X1,X2)
| ~ gt(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_160]),
[final] ).
cnf(i_0_334,plain,
( leq(n0,uniform_int_rnd(X2,X1))
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[i_0_161]),
[final] ).
cnf(i_0_335,plain,
sum(n0,tptp_minus_1,X1) = n0,
inference(split_conjunct,[status(thm)],[i_0_162]),
[final] ).
cnf(i_0_336,plain,
tptp_float_0_0 = sum(n0,tptp_minus_1,X1),
inference(split_conjunct,[status(thm)],[i_0_163]),
[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_164]),
[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_165]),
[final] ).
cnf(i_0_339,plain,
plus(n2,X1) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_166,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_167,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_168]),
[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_169]),
[final] ).
cnf(i_0_343,plain,
( X1 = n0
| X1 = n1
| ~ leq(n0,X1)
| ~ leq(X1,n1) ),
inference(split_conjunct,[status(thm)],[i_0_170]),
[final] ).
cnf(i_0_344,plain,
( X1 = n0
| ~ leq(n0,X1)
| ~ leq(X1,n0) ),
inference(split_conjunct,[status(thm)],[i_0_171]),
[final] ).
cnf(i_0_345,plain,
( X1 = X2
| gt(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_172]),
[final] ).
cnf(i_0_346,plain,
gt(plus(X1,n1),X1),
inference(rw,[status(thm)],[i_0_173,c_0_134]),
[final] ).
cnf(i_0_347,plain,
( geq(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_174]),
[final] ).
cnf(i_0_348,plain,
( lt(X2,X1)
| ~ gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_175]),
[final] ).
cnf(i_0_349,plain,
( leq(X2,X1)
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_174]),
[final] ).
cnf(i_0_350,plain,
( leq(X2,X1)
| ~ gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_176]),
[final] ).
cnf(i_0_351,plain,
( gt(X2,X1)
| ~ lt(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_175]),
[final] ).
cnf(i_0_352,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_177,c_0_134]),c_0_139]),
[final] ).
cnf(i_0_353,plain,
plus(minus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_178,c_0_134]),c_0_139]),
[final] ).
cnf(i_0_354,negated_conjecture,
leq(esk24_0,minus(pv57,n1)),
inference(rw,[status(thm)],[i_0_179,c_0_139]),
[final] ).
cnf(i_0_355,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_180,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_181]),
[final] ).
cnf(i_0_357,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[i_0_182,c_0_134]),
[final] ).
cnf(i_0_358,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_183]),
[final] ).
cnf(i_0_359,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_184]),
[final] ).
cnf(i_0_360,plain,
( leq(pv58,n5)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_361,plain,
( leq(pv57,n5)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_362,plain,
( leq(pv5,n998)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_363,plain,
( leq(n0,pv57)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_364,plain,
( leq(n0,pv5)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_365,plain,
( gt(pv58,pv57)
| ~ epred2_0 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_366,negated_conjecture,
leq(esk25_0,n5),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_367,negated_conjecture,
leq(n0,esk25_0),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_368,negated_conjecture,
leq(n0,esk24_0),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_369,plain,
gt(n998,n5),
inference(split_conjunct,[status(thm)],[gt_998_5]),
[final] ).
cnf(i_0_370,plain,
gt(n998,n4),
inference(split_conjunct,[status(thm)],[gt_998_4]),
[final] ).
cnf(i_0_371,plain,
gt(n998,n3),
inference(split_conjunct,[status(thm)],[gt_998_3]),
[final] ).
cnf(i_0_372,plain,
gt(n998,n2),
inference(split_conjunct,[status(thm)],[gt_998_2]),
[final] ).
cnf(i_0_373,plain,
gt(n998,n1),
inference(split_conjunct,[status(thm)],[gt_998_1]),
[final] ).
cnf(i_0_374,plain,
gt(n998,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_998_tptp_minus_1]),
[final] ).
cnf(i_0_375,plain,
gt(n998,n0),
inference(split_conjunct,[status(thm)],[gt_998_0]),
[final] ).
cnf(i_0_376,plain,
gt(n5,n4),
inference(split_conjunct,[status(thm)],[gt_5_4]),
[final] ).
cnf(i_0_377,plain,
gt(n5,n3),
inference(split_conjunct,[status(thm)],[gt_5_3]),
[final] ).
cnf(i_0_378,plain,
gt(n5,n2),
inference(split_conjunct,[status(thm)],[gt_5_2]),
[final] ).
cnf(i_0_379,plain,
gt(n5,n1),
inference(split_conjunct,[status(thm)],[gt_5_1]),
[final] ).
cnf(i_0_380,plain,
gt(n5,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_5_tptp_minus_1]),
[final] ).
cnf(i_0_381,plain,
gt(n5,n0),
inference(split_conjunct,[status(thm)],[gt_5_0]),
[final] ).
cnf(i_0_382,plain,
gt(n4,n3),
inference(split_conjunct,[status(thm)],[gt_4_3]),
[final] ).
cnf(i_0_383,plain,
gt(n4,n2),
inference(split_conjunct,[status(thm)],[gt_4_2]),
[final] ).
cnf(i_0_384,plain,
gt(n4,n1),
inference(split_conjunct,[status(thm)],[gt_4_1]),
[final] ).
cnf(i_0_385,plain,
gt(n4,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_4_tptp_minus_1]),
[final] ).
cnf(i_0_386,plain,
gt(n4,n0),
inference(split_conjunct,[status(thm)],[gt_4_0]),
[final] ).
cnf(i_0_387,plain,
gt(n3,n2),
inference(split_conjunct,[status(thm)],[gt_3_2]),
[final] ).
cnf(i_0_388,plain,
gt(n3,n1),
inference(split_conjunct,[status(thm)],[gt_3_1]),
[final] ).
cnf(i_0_389,plain,
gt(n3,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_3_tptp_minus_1]),
[final] ).
cnf(i_0_390,plain,
gt(n3,n0),
inference(split_conjunct,[status(thm)],[gt_3_0]),
[final] ).
cnf(i_0_391,plain,
gt(n2,n1),
inference(split_conjunct,[status(thm)],[gt_2_1]),
[final] ).
cnf(i_0_392,plain,
gt(n2,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_2_tptp_minus_1]),
[final] ).
cnf(i_0_393,plain,
gt(n2,n0),
inference(split_conjunct,[status(thm)],[gt_2_0]),
[final] ).
cnf(i_0_394,plain,
gt(n1,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_1_tptp_minus_1]),
[final] ).
cnf(i_0_395,plain,
gt(n1,n0),
inference(split_conjunct,[status(thm)],[gt_1_0]),
[final] ).
cnf(i_0_396,plain,
gt(n0,tptp_minus_1),
inference(split_conjunct,[status(thm)],[gt_0_tptp_minus_1]),
[final] ).
cnf(i_0_397,plain,
plus(tptp_minus_1,n1) = n0,
inference(rw,[status(thm)],[i_0_185,c_0_134]),
[final] ).
cnf(i_0_398,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[i_0_186,c_0_134]),
[final] ).
cnf(i_0_399,negated_conjecture,
( pv57 != esk25_0
| esk25_0 != esk24_0 ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_400,negated_conjecture,
pv57 != esk24_0,
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_401,plain,
def != use,
inference(split_conjunct,[status(thm)],[defuse]),
[final] ).
cnf(i_0_402,negated_conjecture,
epred2_0,
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_403,plain,
true,
inference(split_conjunct,[status(thm)],[ttrue]),
[final] ).
cnf(i_0_404,axiom,
X1 = X1 ).
cnf(i_0_405,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_406,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_407,axiom,
( X1 != X2
| a_select3(X1,X3,X4) = a_select3(X2,X3,X4) ) ).
cnf(i_0_408,axiom,
( X1 != X2
| a_select3(X3,X1,X4) = a_select3(X3,X2,X4) ) ).
cnf(i_0_409,axiom,
( X1 != X2
| a_select3(X3,X4,X1) = a_select3(X3,X4,X2) ) ).
cnf(i_0_410,axiom,
( X1 != X2
| a_select2(X1,X3) = a_select2(X2,X3) ) ).
cnf(i_0_411,axiom,
( X1 != X2
| a_select2(X3,X1) = a_select2(X3,X2) ) ).
cnf(i_0_412,axiom,
( X1 != X2
| plus(X1,X3) = plus(X2,X3) ) ).
cnf(i_0_413,axiom,
( X1 != X2
| plus(X3,X1) = plus(X3,X2) ) ).
cnf(i_0_414,axiom,
( X1 != X2
| minus(X1,X3) = minus(X2,X3) ) ).
cnf(i_0_415,axiom,
( X1 != X2
| minus(X3,X1) = minus(X3,X2) ) ).
cnf(i_0_416,axiom,
( X1 != X2
| sum(X1,X3,X4) = sum(X2,X3,X4) ) ).
cnf(i_0_417,axiom,
( X1 != X2
| sum(X3,X1,X4) = sum(X3,X2,X4) ) ).
cnf(i_0_418,axiom,
( X1 != X2
| sum(X3,X4,X1) = sum(X3,X4,X2) ) ).
cnf(i_0_419,axiom,
( X1 != X2
| ~ epred1_4(X1,X3,X4,X5)
| epred1_4(X2,X3,X4,X5) ) ).
cnf(i_0_420,axiom,
( X1 != X2
| ~ epred1_4(X3,X1,X4,X5)
| epred1_4(X3,X2,X4,X5) ) ).
cnf(i_0_421,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X1,X5)
| epred1_4(X3,X4,X2,X5) ) ).
cnf(i_0_422,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X5,X1)
| epred1_4(X3,X4,X5,X2) ) ).
cnf(i_0_423,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_424,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_425,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_426,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_427,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_428,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_429,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_430,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_404_001,axiom,
X1 = X1 ).
cnf(i_0_405_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_406_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_407_004,axiom,
( X1 != X2
| a_select3(X1,X3,X4) = a_select3(X2,X3,X4) ) ).
cnf(i_0_408_005,axiom,
( X1 != X2
| a_select3(X3,X1,X4) = a_select3(X3,X2,X4) ) ).
cnf(i_0_409_006,axiom,
( X1 != X2
| a_select3(X3,X4,X1) = a_select3(X3,X4,X2) ) ).
cnf(i_0_410_007,axiom,
( X1 != X2
| a_select2(X1,X3) = a_select2(X2,X3) ) ).
cnf(i_0_411_008,axiom,
( X1 != X2
| a_select2(X3,X1) = a_select2(X3,X2) ) ).
cnf(i_0_412_009,axiom,
( X1 != X2
| plus(X1,X3) = plus(X2,X3) ) ).
cnf(i_0_413_010,axiom,
( X1 != X2
| plus(X3,X1) = plus(X3,X2) ) ).
cnf(i_0_414_011,axiom,
( X1 != X2
| minus(X1,X3) = minus(X2,X3) ) ).
cnf(i_0_415_012,axiom,
( X1 != X2
| minus(X3,X1) = minus(X3,X2) ) ).
cnf(i_0_416_013,axiom,
( X1 != X2
| sum(X1,X3,X4) = sum(X2,X3,X4) ) ).
cnf(i_0_417_014,axiom,
( X1 != X2
| sum(X3,X1,X4) = sum(X3,X2,X4) ) ).
cnf(i_0_418_015,axiom,
( X1 != X2
| sum(X3,X4,X1) = sum(X3,X4,X2) ) ).
cnf(i_0_419_016,axiom,
( X1 != X2
| ~ epred1_4(X1,X3,X4,X5)
| epred1_4(X2,X3,X4,X5) ) ).
cnf(i_0_420_017,axiom,
( X1 != X2
| ~ epred1_4(X3,X1,X4,X5)
| epred1_4(X3,X2,X4,X5) ) ).
cnf(i_0_421_018,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X1,X5)
| epred1_4(X3,X4,X2,X5) ) ).
cnf(i_0_422_019,axiom,
( X1 != X2
| ~ epred1_4(X3,X4,X5,X1)
| epred1_4(X3,X4,X5,X2) ) ).
cnf(i_0_423_020,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_424_021,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_425_022,axiom,
( X1 != X2
| ~ gt(X1,X3)
| gt(X2,X3) ) ).
cnf(i_0_426_023,axiom,
( X1 != X2
| ~ gt(X3,X1)
| gt(X3,X2) ) ).
cnf(i_0_427_024,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_428_025,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_429_026,axiom,
( X1 != X2
| ~ lt(X1,X3)
| lt(X2,X3) ) ).
cnf(i_0_430_027,axiom,
( X1 != X2
| ~ lt(X3,X1)
| lt(X3,X2) ) ).
cnf(i_0_431,plain,
( ~ leq(n0,pv57)
| ~ leq(n0,X1)
| ~ leq(pv57,n5)
| ~ leq(X1,n5)
| ~ gt(pv58,X1)
| a_select3(id_ds1_filter,pv57,X1) = a_select3(id_ds1_filter,X1,pv57)
| ~ epred2_0 ),
inference(equality_inference,[],[307]) ).
cnf(i_0_432,plain,
( X1 = X2
| a_select2(tptp_update2(X3,X1,X4),X2) = a_select2(X3,X2) ),
inference(equality_inference,[],[316]) ).
cnf(i_0_433,plain,
$false,
inference(scs_inference,[],[i_0_315,i_0_402,i_0_366,i_0_367,i_0_368,i_0_354,i_0_306]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV221+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
% 0.16/0.33 % Computer : n008.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 04:58:13 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 0.75/1.62 % Version : CSE_E---1.7
% 0.75/1.62 % Problem : theBenchmark.p
% 0.75/1.62 % SZS status Theorem for theBenchmark.p
% 0.75/1.62 % SZS output start CNFRefutation
% See solution above
% 0.75/1.64 % Total time : 1.272s
%------------------------------------------------------------------------------