%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV095+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.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 05:20:49 PM UTC 2026
% Result : Theorem 1.86s 1.94s
% Output : CNFRefutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 119 ( 101 unt; 0 def)
% Number of atoms : 695 ( 568 equ)
% Maximal formula atoms : 202 ( 5 avg)
% Number of connectives : 975 ( 399 ~; 393 |; 177 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 73 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 20 con; 0-3 aty)
% Number of variables : 55 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(succ_plus_2_r,axiom,
! [X1] : plus(X1,n2) = succ(succ(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_2_r) ).
fof(succ_plus_1_r,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_r) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(succ_plus_3_r,axiom,
! [X1] : plus(X1,n3) = succ(succ(succ(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_3_r) ).
fof(successor_2,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(succ_plus_4_r,axiom,
! [X1] : plus(X1,n4) = succ(succ(succ(succ(X1)))),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_4_r) ).
fof(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(succ_plus_5_r,axiom,
! [X1] : plus(X1,n5) = succ(succ(succ(succ(succ(X1))))),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_5_r) ).
fof(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
fof(succ_plus_5_l,axiom,
! [X1] : plus(n5,X1) = succ(succ(succ(succ(succ(X1))))),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_5_l) ).
fof(successor_5,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
fof(quaternion_ds1_inuse_0007,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(n0,pv51)
& leq(pv5,minus(n999,n1))
& leq(pv51,minus(n6,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n2)
& leq(X18,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X14,X18) = use
& a_select3(z_defuse,X14,X18) = use ) ) )
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(n0,pv51)
& leq(pv5,minus(n999,n1))
& leq(pv51,minus(n6,n1))
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X4,X20) = use
& a_select3(z_defuse,X4,X20) = use ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0007) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(successor_6,axiom,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_6) ).
fof(c_0_16,plain,
! [X310] : plus(X310,n2) = succ(succ(X310)),
inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).
fof(c_0_17,plain,
! [X308] : plus(X308,n1) = succ(X308),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_18,plain,
! [X309] : plus(n1,X309) = succ(X309),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
fof(c_0_19,plain,
! [X312] : plus(X312,n3) = succ(succ(succ(X312))),
inference(variable_rename,[status(thm)],[succ_plus_3_r]) ).
cnf(c_0_20,plain,
plus(X1,n2) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_24,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
fof(c_0_25,plain,
! [X314] : plus(X314,n4) = succ(succ(succ(succ(X314)))),
inference(variable_rename,[status(thm)],[succ_plus_4_r]) ).
cnf(c_0_26,plain,
plus(X1,n3) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
plus(X1,n2) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_21]) ).
cnf(c_0_28,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_29,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_30,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_21]),c_0_21]) ).
cnf(c_0_31,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_24,c_0_21]) ).
fof(c_0_32,plain,
! [X316] : plus(X316,n5) = succ(succ(succ(succ(succ(X316))))),
inference(variable_rename,[status(thm)],[succ_plus_5_r]) ).
cnf(c_0_33,plain,
plus(X1,n4) = succ(succ(succ(succ(X1)))),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
plus(X1,n3) = plus(plus(plus(X1,n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_35,plain,
plus(n1,plus(X1,n1)) = plus(X1,n2),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_37,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_38,plain,
plus(n1,n1) = n2,
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_39,plain,
! [X317] : plus(n5,X317) = succ(succ(succ(succ(succ(X317))))),
inference(variable_rename,[status(thm)],[succ_plus_5_l]) ).
cnf(c_0_40,plain,
plus(X1,n5) = succ(succ(succ(succ(succ(X1))))),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,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)],[c_0_33,c_0_21]),c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_42,plain,
plus(n1,plus(X1,n2)) = plus(X1,n3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_28]),c_0_35]),c_0_28]) ).
cnf(c_0_43,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(split_conjunct,[status(thm)],[successor_5]) ).
cnf(c_0_44,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)],[c_0_36,c_0_21]),c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_45,plain,
plus(n1,n2) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_31]),c_0_38]),c_0_28]) ).
fof(c_0_46,negated_conjecture,
~ ( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(n0,pv51)
& leq(pv5,minus(n999,n1))
& leq(pv51,minus(n6,n1))
& ! [X14,X18] :
( ( leq(n0,X14)
& leq(n0,X18)
& leq(X14,n2)
& leq(X18,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X14,X18) = use
& a_select3(z_defuse,X14,X18) = use ) ) )
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(n0,pv51)
& leq(pv5,minus(n999,n1))
& leq(pv51,minus(n6,n1))
& ! [X4,X20] :
( ( leq(n0,X4)
& leq(n0,X20)
& leq(X4,n2)
& leq(X20,minus(pv5,n1)) )
=> ( a_select3(u_defuse,X4,X20) = use
& a_select3(z_defuse,X4,X20) = use ) ) ) ),
inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0007]) ).
fof(c_0_47,plain,
! [X319] : pred(succ(X319)) = X319,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_48,plain,
! [X318] : minus(X318,n1) = pred(X318),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
cnf(c_0_49,plain,
plus(n5,X1) = succ(succ(succ(succ(succ(X1))))),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_50,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)],[c_0_40,c_0_21]),c_0_21]),c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_51,plain,
plus(n1,plus(X1,n3)) = plus(X1,n4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_28]),c_0_35]),c_0_28]),c_0_42]),c_0_28]) ).
cnf(c_0_52,plain,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
inference(split_conjunct,[status(thm)],[successor_6]) ).
cnf(c_0_53,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)],[c_0_43,c_0_21]),c_0_21]),c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_54,plain,
plus(n1,n3) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_31]),c_0_38]),c_0_28]),c_0_45]),c_0_28]) ).
fof(c_0_55,negated_conjecture,
! [X359,X360] :
( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(n0,pv51)
& leq(pv5,minus(n999,n1))
& leq(pv51,minus(n6,n1))
& ( a_select3(u_defuse,X359,X360) = use
| ~ leq(n0,X359)
| ~ leq(n0,X360)
| ~ leq(X359,n2)
| ~ leq(X360,minus(pv5,n1)) )
& ( a_select3(z_defuse,X359,X360) = use
| ~ leq(n0,X359)
| ~ leq(n0,X360)
| ~ leq(X359,n2)
| ~ leq(X360,minus(pv5,n1)) )
& ( leq(n0,esk24_0)
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(n0,pv5)
| ~ leq(n0,pv51)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv51,minus(n6,n1)) )
& ( leq(n0,esk25_0)
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(n0,pv5)
| ~ leq(n0,pv51)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv51,minus(n6,n1)) )
& ( leq(esk24_0,n2)
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(n0,pv5)
| ~ leq(n0,pv51)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv51,minus(n6,n1)) )
& ( leq(esk25_0,minus(pv5,n1))
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(n0,pv5)
| ~ leq(n0,pv51)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv51,minus(n6,n1)) )
& ( a_select3(u_defuse,esk24_0,esk25_0) != use
| a_select3(z_defuse,esk24_0,esk25_0) != use
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(n0,pv5)
| ~ leq(n0,pv51)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv51,minus(n6,n1)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])])]) ).
cnf(c_0_56,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,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)],[c_0_49,c_0_21]),c_0_21]),c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_59,plain,
plus(n1,plus(X1,n4)) = plus(X1,n5),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_28]),c_0_35]),c_0_28]),c_0_42]),c_0_28]),c_0_51]),c_0_28]) ).
cnf(c_0_60,plain,
plus(plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1),n1) = n6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_21]),c_0_21]),c_0_21]),c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_61,plain,
plus(n1,n4) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_31]),c_0_38]),c_0_28]),c_0_45]),c_0_28]),c_0_54]),c_0_28]) ).
cnf(c_0_62,negated_conjecture,
( leq(n0,esk25_0)
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(n0,pv5)
| ~ leq(n0,pv51)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv51,minus(n6,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_63,negated_conjecture,
a_select2(rho_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_64,negated_conjecture,
a_select2(rho_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_65,negated_conjecture,
a_select2(rho_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_66,negated_conjecture,
a_select2(sigma_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_67,negated_conjecture,
a_select2(sigma_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_68,negated_conjecture,
a_select2(sigma_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_69,negated_conjecture,
a_select2(sigma_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_70,negated_conjecture,
a_select2(sigma_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_71,negated_conjecture,
a_select2(sigma_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_72,negated_conjecture,
a_select2(xinit_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_73,negated_conjecture,
a_select2(xinit_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_74,negated_conjecture,
a_select2(xinit_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_75,negated_conjecture,
a_select2(xinit_mean_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_76,negated_conjecture,
a_select2(xinit_mean_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_77,negated_conjecture,
a_select2(xinit_mean_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_78,negated_conjecture,
a_select2(xinit_mean_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_79,negated_conjecture,
a_select2(xinit_mean_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_80,negated_conjecture,
leq(n0,pv5),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_81,negated_conjecture,
leq(n0,pv51),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_82,negated_conjecture,
( leq(esk24_0,n2)
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(n0,pv5)
| ~ leq(n0,pv51)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv51,minus(n6,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_83,negated_conjecture,
a_select2(xinit_mean_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_84,negated_conjecture,
a_select2(xinit_noise_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_85,negated_conjecture,
a_select2(xinit_noise_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_86,negated_conjecture,
a_select2(xinit_noise_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_87,negated_conjecture,
a_select2(xinit_noise_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_88,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_21]),c_0_57]) ).
cnf(c_0_89,plain,
plus(X1,n5) = plus(n5,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_28]),c_0_35]),c_0_28]),c_0_42]),c_0_28]),c_0_51]),c_0_28]),c_0_59]) ).
cnf(c_0_90,plain,
plus(n1,n5) = n6,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_31]),c_0_38]),c_0_28]),c_0_45]),c_0_28]),c_0_54]),c_0_28]),c_0_61]),c_0_28]) ).
cnf(c_0_91,negated_conjecture,
( a_select3(u_defuse,esk24_0,esk25_0) != use
| a_select3(z_defuse,esk24_0,esk25_0) != use
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(n0,pv5)
| ~ leq(n0,pv51)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv51,minus(n6,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_92,negated_conjecture,
( leq(esk25_0,minus(pv5,n1))
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(n0,pv5)
| ~ leq(n0,pv51)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv51,minus(n6,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_93,negated_conjecture,
a_select2(xinit_noise_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_94,negated_conjecture,
a_select2(xinit_noise_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_95,negated_conjecture,
a_select3(u_defuse,n0,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_96,negated_conjecture,
a_select3(u_defuse,n1,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_97,negated_conjecture,
a_select3(u_defuse,n2,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_98,negated_conjecture,
leq(pv5,minus(n999,n1)),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_99,negated_conjecture,
leq(pv51,minus(n6,n1)),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_100,negated_conjecture,
( leq(n0,esk25_0)
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv51,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73]),c_0_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78]),c_0_79]),c_0_80]),c_0_81])]) ).
cnf(c_0_101,negated_conjecture,
( leq(n0,esk24_0)
| a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(n0,pv5)
| ~ leq(n0,pv51)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv51,minus(n6,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_102,negated_conjecture,
( leq(esk24_0,n2)
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv51,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_63]),c_0_64]),c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73]),c_0_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78]),c_0_79]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_80]),c_0_81])]) ).
cnf(c_0_103,plain,
minus(n6,n1) = n5,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).
cnf(c_0_104,negated_conjecture,
( a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,esk24_0,esk25_0) != use
| a_select3(z_defuse,esk24_0,esk25_0) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv51,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_63]),c_0_64]),c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_80]),c_0_81])]) ).
cnf(c_0_105,negated_conjecture,
( a_select3(z_defuse,X1,X2) = use
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n2)
| ~ leq(X2,minus(pv5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_106,negated_conjecture,
leq(esk25_0,minus(pv5,n1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_63]),c_0_64]),c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73]),c_0_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78]),c_0_79]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_93]),c_0_94]),c_0_95]),c_0_96]),c_0_97]),c_0_80]),c_0_81]),c_0_98]),c_0_99])]) ).
cnf(c_0_107,negated_conjecture,
leq(n0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_83])]),c_0_95]),c_0_96]),c_0_97]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_93]),c_0_94]),c_0_98]),c_0_99])]) ).
cnf(c_0_108,negated_conjecture,
( leq(n0,esk24_0)
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(pv5,minus(n999,n1))
| ~ leq(pv51,minus(n6,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_63]),c_0_64]),c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73]),c_0_74]),c_0_80]),c_0_81])]) ).
cnf(c_0_109,negated_conjecture,
( leq(esk24_0,n2)
| ~ leq(pv51,n5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_93])]),c_0_95]),c_0_96]),c_0_97]),c_0_94]),c_0_98]),c_0_103])]) ).
cnf(c_0_110,negated_conjecture,
leq(pv51,n5),
inference(rw,[status(thm)],[c_0_99,c_0_103]) ).
cnf(c_0_111,negated_conjecture,
( a_select3(u_defuse,esk24_0,esk25_0) != use
| a_select3(z_defuse,esk24_0,esk25_0) != use ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_70])]),c_0_95]),c_0_96]),c_0_97]),c_0_71]),c_0_72]),c_0_73]),c_0_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78]),c_0_79]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_93]),c_0_94]),c_0_98]),c_0_99])]) ).
cnf(c_0_112,negated_conjecture,
( a_select3(z_defuse,X1,esk25_0) = use
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107])]) ).
cnf(c_0_113,negated_conjecture,
leq(n0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_75])]),c_0_95]),c_0_96]),c_0_97]),c_0_76]),c_0_77]),c_0_78]),c_0_79]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_93]),c_0_94]),c_0_98]),c_0_99])]) ).
cnf(c_0_114,negated_conjecture,
leq(esk24_0,n2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110])]) ).
cnf(c_0_115,negated_conjecture,
( a_select3(u_defuse,X1,X2) = use
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n2)
| ~ leq(X2,minus(pv5,n1)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_116,negated_conjecture,
a_select3(u_defuse,esk24_0,esk25_0) != use,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113])]),c_0_114])]) ).
cnf(c_0_117,negated_conjecture,
( a_select3(u_defuse,X1,esk25_0) = use
| ~ leq(X1,n2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_106]),c_0_107])]) ).
cnf(c_0_118,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_114]),c_0_113])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV095+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n005.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 04:55:30 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.86/1.94 % Version : CSE_E---1.7
% 1.86/1.94 % Problem : theBenchmark.p
% 1.86/1.94 % SZS status Theorem for theBenchmark.p
% 1.86/1.94 % SZS output start CNFRefutation
% See solution above
% 1.86/1.95 % Total time : 1.421s
%------------------------------------------------------------------------------