%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWV091+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:00:33 PM UTC 2026
% Result : Theorem 0.90s 0.50s
% Output : CNFRefutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 26
% Syntax : Number of formulae : 155 ( 105 unt; 0 def)
% Number of atoms : 595 ( 536 equ)
% Maximal formula atoms : 48 ( 3 avg)
% Number of connectives : 580 ( 140 ~; 318 |; 115 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-3 aty)
% Number of variables : 92 ( 3 sgn 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0003,conjecture,
( ( a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0003) ).
fof(sel2_update_2,axiom,
! [X5,X7,X1,X17,X25] :
( ( a_select2(X1,X7) = X17
& X5 != X7 )
=> a_select2(tptp_update2(X1,X5,X25),X7) = X17 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).
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(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(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_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_3_r) ).
fof(successor_2,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
fof(successor_1,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(irreflexivity_gt,axiom,
! [X1] : ~ gt(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
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(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(successor_3,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_3) ).
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(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_4) ).
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(leq_gt1,axiom,
! [X1,X2] :
( gt(X2,X1)
=> leq(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).
fof(gt_5_4,axiom,
gt(n5,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_4) ).
fof(gt_5_1,axiom,
gt(n5,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_1) ).
fof(gt_4_3,axiom,
gt(n4,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_3) ).
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_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_0,axiom,
gt(n2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_0) ).
fof(reflexivity_leq,axiom,
! [X1] : leq(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
fof(c_0_26,negated_conjecture,
~ ( ( a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ) ),
inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0003]) ).
fof(c_0_27,negated_conjecture,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(rho_defuse,n2) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n0) != use )
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])]) ).
fof(c_0_28,plain,
! [X5,X7,X1,X17,X25] :
( ( a_select2(X1,X7) = X17
& X5 != X7 )
=> a_select2(tptp_update2(X1,X5,X25),X7) = X17 ),
inference(fof_simplification,[status(thm)],[sel2_update_2]) ).
cnf(c_0_29,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(rho_defuse,n2) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n0) != use ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_30,negated_conjecture,
a_select2(rho_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,negated_conjecture,
a_select2(rho_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,negated_conjecture,
a_select2(rho_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
a_select2(sigma_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,negated_conjecture,
a_select2(sigma_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,negated_conjecture,
a_select2(sigma_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,negated_conjecture,
a_select2(sigma_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_37,plain,
! [X173,X174,X175] : a_select2(tptp_update2(X173,X174,X175),X174) = X175,
inference(variable_rename,[status(thm)],[sel2_update_1]) ).
fof(c_0_38,plain,
! [X176,X177,X178,X179,X180] :
( a_select2(tptp_update2(X178,X176,X180),X177) = X179
| a_select2(X178,X177) != X179
| X176 = X177 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
cnf(c_0_39,negated_conjecture,
( a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != 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)],[c_0_29,c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36])]) ).
cnf(c_0_40,negated_conjecture,
a_select2(sigma_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_41,plain,
a_select2(tptp_update2(X1,X2,X3),X2) = X3,
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,negated_conjecture,
a_select3(u_defuse,n0,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_43,negated_conjecture,
a_select3(u_defuse,n1,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_44,negated_conjecture,
a_select3(u_defuse,n2,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_45,negated_conjecture,
a_select2(sigma_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_46,negated_conjecture,
a_select2(xinit_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_47,negated_conjecture,
a_select2(xinit_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_48,negated_conjecture,
a_select2(xinit_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_49,negated_conjecture,
a_select2(xinit_mean_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_50,negated_conjecture,
a_select2(xinit_mean_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_51,negated_conjecture,
a_select2(xinit_mean_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_52,negated_conjecture,
a_select2(xinit_mean_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_53,negated_conjecture,
a_select2(xinit_mean_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_54,negated_conjecture,
a_select2(xinit_mean_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_55,plain,
( a_select2(X3,X2) != X4
| a_select2(tptp_update2(X3,X1,X5),X2) = X4
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_56,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != 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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_51]),c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_57,plain,
( X2 = X4
| a_select2(tptp_update2(X1,X2,X3),X4) = a_select2(X1,X4) ),
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_58,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
| n5 = n4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_41])]) ).
cnf(c_0_59,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
| n5 = n4
| n5 = n3 ),
inference(spm,[status(thm)],[c_0_58,c_0_57]) ).
cnf(c_0_60,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
| n5 = n3
| n5 = n4
| n4 = n3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_57]),c_0_41])]) ).
cnf(c_0_61,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| n4 = n3
| n5 = n4
| n5 = n3
| n5 = n0 ),
inference(spm,[status(thm)],[c_0_60,c_0_57]) ).
cnf(c_0_62,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| n5 = n0
| n5 = n3
| n5 = n4
| n4 = n3
| n4 = n0 ),
inference(spm,[status(thm)],[c_0_61,c_0_57]) ).
cnf(c_0_63,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| n4 = n0
| n4 = n3
| n5 = n4
| n5 = n3
| n5 = n0
| n3 = n0 ),
inference(spm,[status(thm)],[c_0_62,c_0_57]) ).
cnf(c_0_64,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| n3 = n0
| n5 = n0
| n5 = n3
| n5 = n4
| n4 = n3
| n4 = n0
| n2 = n0 ),
inference(spm,[status(thm)],[c_0_63,c_0_57]) ).
cnf(c_0_65,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| n2 = n0
| n4 = n0
| n4 = n3
| n5 = n4
| n5 = n3
| n5 = n0
| n3 = n0
| n1 = n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_57]),c_0_41])]) ).
cnf(c_0_66,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| n1 = n0
| n3 = n0
| n5 = n0
| n5 = n3
| n5 = n4
| n4 = n3
| n4 = n0
| n2 = n0
| n5 = n1 ),
inference(spm,[status(thm)],[c_0_65,c_0_57]) ).
cnf(c_0_67,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| n5 = n1
| n2 = n0
| n4 = n0
| n4 = n3
| n5 = n4
| n5 = n3
| n5 = n0
| n3 = n0
| n1 = n0
| n4 = n1 ),
inference(spm,[status(thm)],[c_0_66,c_0_57]) ).
fof(c_0_68,plain,
! [X137] : plus(X137,n2) = succ(succ(X137)),
inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).
fof(c_0_69,plain,
! [X135] : plus(X135,n1) = succ(X135),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_70,plain,
! [X136] : plus(n1,X136) = succ(X136),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
cnf(c_0_71,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| n4 = n1
| n1 = n0
| n3 = n0
| n5 = n0
| n5 = n3
| n5 = n4
| n4 = n3
| n4 = n0
| n2 = n0
| n5 = n1
| n3 = n1 ),
inference(spm,[status(thm)],[c_0_67,c_0_57]) ).
fof(c_0_72,plain,
! [X139] : plus(X139,n3) = succ(succ(succ(X139))),
inference(variable_rename,[status(thm)],[succ_plus_3_r]) ).
cnf(c_0_73,plain,
plus(X1,n2) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_74,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_75,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_76,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_77,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
cnf(c_0_78,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| n3 = n1
| n5 = n1
| n2 = n0
| n4 = n0
| n4 = n3
| n5 = n4
| n5 = n3
| n5 = n0
| n3 = n0
| n1 = n0
| n4 = n1
| n2 = n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_57]),c_0_41])]) ).
fof(c_0_79,plain,
! [X1] : ~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).
fof(c_0_80,plain,
! [X150,X151] :
( gt(X151,X150)
| ~ leq(succ(X150),X151) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt])])]) ).
fof(c_0_81,plain,
! [X140] : plus(n3,X140) = succ(succ(succ(X140))),
inference(variable_rename,[status(thm)],[succ_plus_3_l]) ).
cnf(c_0_82,plain,
plus(X1,n3) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_83,plain,
plus(X1,n2) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74]),c_0_74]) ).
cnf(c_0_84,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_75,c_0_74]) ).
cnf(c_0_85,plain,
succ(succ(succ(n0))) = n3,
inference(split_conjunct,[status(thm)],[successor_3]) ).
cnf(c_0_86,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_74]),c_0_74]) ).
cnf(c_0_87,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_77,c_0_74]) ).
fof(c_0_88,plain,
! [X138] : plus(n2,X138) = succ(succ(X138)),
inference(variable_rename,[status(thm)],[succ_plus_2_l]) ).
cnf(c_0_89,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use
| n2 = n1
| n4 = n1
| n1 = n0
| n3 = n0
| n5 = n0
| n5 = n3
| n5 = n4
| n4 = n3
| n4 = n0
| n2 = n0
| n5 = n1
| n3 = n1
| n5 = n2 ),
inference(spm,[status(thm)],[c_0_78,c_0_57]) ).
fof(c_0_90,plain,
! [X33] : ~ gt(X33,X33),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_79])]) ).
cnf(c_0_91,plain,
( ~ leq(succ(X1),X2)
| gt(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_92,plain,
plus(n3,X1) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_93,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_82,c_0_74]),c_0_74]),c_0_74]) ).
cnf(c_0_94,plain,
plus(n1,plus(X1,n1)) = plus(X1,n2),
inference(rw,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_95,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_96,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_74]),c_0_74]),c_0_74]) ).
cnf(c_0_97,plain,
plus(n1,n1) = n2,
inference(rw,[status(thm)],[c_0_86,c_0_87]) ).
fof(c_0_98,plain,
! [X49,X50] :
( leq(X49,succ(X50))
| ~ leq(X49,X50) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ])])]) ).
cnf(c_0_99,plain,
plus(n2,X1) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
fof(c_0_100,plain,
! [X42,X43] :
( leq(X42,X43)
| ~ gt(X43,X42) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt1])])]) ).
cnf(c_0_101,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use
| n5 = n2
| n3 = n1
| n5 = n1
| n2 = n0
| n4 = n0
| n4 = n3
| n5 = n4
| n5 = n3
| n5 = n0
| n3 = n0
| n1 = n0
| n4 = n1
| n2 = n1
| n4 = n2 ),
inference(spm,[status(thm)],[c_0_89,c_0_57]) ).
cnf(c_0_102,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_103,plain,
( ~ leq(plus(X1,n1),X2)
| gt(X2,X1) ),
inference(rw,[status(thm)],[c_0_91,c_0_74]) ).
cnf(c_0_104,plain,
plus(n3,X1) = plus(plus(plus(X1,n1),n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_74]),c_0_74]),c_0_74]) ).
cnf(c_0_105,plain,
plus(n1,plus(X1,n2)) = plus(X1,n3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_84]),c_0_94]),c_0_84]) ).
cnf(c_0_106,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_95,c_0_74]),c_0_74]),c_0_74]),c_0_74]) ).
cnf(c_0_107,plain,
plus(n1,n2) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_87]),c_0_97]),c_0_84]) ).
cnf(c_0_108,plain,
( ~ leq(X1,X2)
| leq(X1,succ(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_109,plain,
plus(n2,X1) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_74]),c_0_74]) ).
cnf(c_0_110,plain,
( ~ gt(X1,X2)
| leq(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_111,plain,
gt(n5,n4),
inference(split_conjunct,[status(thm)],[gt_5_4]) ).
cnf(c_0_112,negated_conjecture,
( n4 = n2
| n2 = n1
| n4 = n1
| n1 = n0
| n3 = n0
| n5 = n0
| n5 = n3
| n5 = n4
| n4 = n3
| n4 = n0
| n2 = n0
| n5 = n1
| n3 = n1
| n5 = n2
| n3 = n2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_57]),c_0_41])]) ).
cnf(c_0_113,plain,
~ leq(plus(X1,n1),X1),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_114,plain,
plus(X1,n3) = plus(n3,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_84]),c_0_94]),c_0_84]),c_0_105]) ).
cnf(c_0_115,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_106,c_0_87]),c_0_97]),c_0_84]),c_0_107]),c_0_84]) ).
cnf(c_0_116,plain,
( ~ leq(X1,X2)
| leq(X1,plus(X2,n1)) ),
inference(rw,[status(thm)],[c_0_108,c_0_74]) ).
cnf(c_0_117,plain,
plus(X1,n2) = plus(n2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_84]),c_0_94]) ).
cnf(c_0_118,plain,
leq(n4,n5),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_119,negated_conjecture,
( n3 = n2
| n5 = n2
| n3 = n1
| n5 = n1
| n2 = n0
| n4 = n0
| n4 = n3
| n5 = n3
| n5 = n0
| n3 = n0
| n1 = n0
| n4 = n1
| n2 = n1
| n4 = n2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_102]) ).
cnf(c_0_120,plain,
~ leq(n4,n3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).
cnf(c_0_121,plain,
~ leq(plus(X1,n2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_116]),c_0_84]),c_0_94]) ).
cnf(c_0_122,plain,
plus(n2,n2) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_117]),c_0_107]),c_0_115]) ).
cnf(c_0_123,negated_conjecture,
( n4 = n2
| n2 = n1
| n4 = n1
| n1 = n0
| n3 = n0
| n5 = n0
| n4 = n3
| n4 = n0
| n2 = n0
| n5 = n1
| n3 = n1
| n5 = n2
| n3 = n2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).
cnf(c_0_124,plain,
~ leq(n4,n2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_117]),c_0_122]) ).
cnf(c_0_125,plain,
~ leq(plus(n2,plus(X1,n1)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_116]),c_0_117]) ).
cnf(c_0_126,plain,
gt(n5,n1),
inference(split_conjunct,[status(thm)],[gt_5_1]) ).
cnf(c_0_127,negated_conjecture,
( n3 = n2
| n3 = n1
| n5 = n1
| n2 = n0
| n4 = n0
| n4 = n3
| n5 = n0
| n3 = n0
| n1 = n0
| n4 = n1
| n2 = n1
| n4 = n2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_123]),c_0_124]) ).
cnf(c_0_128,plain,
~ leq(n4,n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_84]),c_0_97]),c_0_122]) ).
cnf(c_0_129,plain,
leq(n1,n5),
inference(spm,[status(thm)],[c_0_110,c_0_126]) ).
cnf(c_0_130,negated_conjecture,
( n4 = n2
| n2 = n1
| n4 = n1
| n1 = n0
| n3 = n0
| n5 = n0
| n4 = n3
| n4 = n0
| n2 = n0
| n3 = n1
| n3 = n2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_127]),c_0_128]) ).
cnf(c_0_131,plain,
~ leq(n1,n0),
inference(spm,[status(thm)],[c_0_113,c_0_87]) ).
cnf(c_0_132,plain,
gt(n4,n3),
inference(split_conjunct,[status(thm)],[gt_4_3]) ).
cnf(c_0_133,negated_conjecture,
( n3 = n2
| n3 = n1
| n2 = n0
| n4 = n0
| n4 = n3
| n3 = n0
| n1 = n0
| n4 = n1
| n2 = n1
| n4 = n2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]) ).
cnf(c_0_134,plain,
leq(n3,n4),
inference(spm,[status(thm)],[c_0_110,c_0_132]) ).
cnf(c_0_135,negated_conjecture,
( n4 = n2
| n2 = n1
| n4 = n1
| n1 = n0
| n3 = n0
| n4 = n0
| n2 = n0
| n3 = n1
| n3 = n2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_102]) ).
cnf(c_0_136,plain,
~ leq(n3,n2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_117]),c_0_107]) ).
cnf(c_0_137,negated_conjecture,
( n3 = n2
| n3 = n1
| n2 = n0
| n4 = n0
| n3 = n0
| n1 = n0
| n4 = n1
| n2 = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).
cnf(c_0_138,plain,
~ leq(n3,n1),
inference(spm,[status(thm)],[c_0_121,c_0_107]) ).
cnf(c_0_139,negated_conjecture,
( n2 = n1
| n1 = n0
| n3 = n0
| n4 = n0
| n2 = n0
| n3 = n1
| n3 = n2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_137]),c_0_138]) ).
cnf(c_0_140,plain,
~ leq(n3,n0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_87]),c_0_84]),c_0_107]) ).
cnf(c_0_141,plain,
gt(n3,n2),
inference(split_conjunct,[status(thm)],[gt_3_2]) ).
cnf(c_0_142,negated_conjecture,
( n3 = n2
| n3 = n1
| n2 = n0
| n3 = n0
| n1 = n0
| n2 = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_139]),c_0_140]) ).
cnf(c_0_143,plain,
gt(n3,n1),
inference(split_conjunct,[status(thm)],[gt_3_1]) ).
cnf(c_0_144,negated_conjecture,
( n2 = n1
| n1 = n0
| n3 = n0
| n2 = n0
| n3 = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_102]) ).
cnf(c_0_145,plain,
gt(n3,n0),
inference(split_conjunct,[status(thm)],[gt_3_0]) ).
cnf(c_0_146,negated_conjecture,
( n2 = n0
| n3 = n0
| n1 = n0
| n2 = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_102]) ).
cnf(c_0_147,plain,
gt(n2,n1),
inference(split_conjunct,[status(thm)],[gt_2_1]) ).
cnf(c_0_148,negated_conjecture,
( n2 = n1
| n1 = n0
| n2 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_102]) ).
cnf(c_0_149,plain,
gt(n2,n0),
inference(split_conjunct,[status(thm)],[gt_2_0]) ).
cnf(c_0_150,negated_conjecture,
( n2 = n0
| n1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_102]) ).
fof(c_0_151,plain,
! [X34] : leq(X34,X34),
inference(variable_rename,[status(thm)],[reflexivity_leq]) ).
cnf(c_0_152,negated_conjecture,
n1 = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_102]) ).
cnf(c_0_153,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_154,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_152]),c_0_153])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV091+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 08:29:51 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.90/0.50 % Version: 3.5.1
% 0.90/0.50 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.90/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.90/0.50 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.90/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.90/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.90/0.50 % Starting sh5l with 300s (1) cores
% 0.90/0.50 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1990400 completed with status 0
% 0.90/0.50 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.90/0.50 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.90/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.90/0.50 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.90/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.90/0.50 % No SInE strategy applied
% 0.90/0.50 % Search class: FGHSM-FSLM33-DFFFFFNN
% 0.90/0.50 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.90/0.50 % Starting SubtermCWHack with 136s (1) cores
% 0.90/0.50 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.90/0.50 % Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.90/0.50 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.90/0.50 % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.90/0.50 % G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 1990410 completed with status 0
% 0.90/0.50 % Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN
% 0.90/0.50 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.90/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.90/0.50 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.90/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.90/0.50 % No SInE strategy applied
% 0.90/0.50 % Search class: FGHSM-FSLM33-DFFFFFNN
% 0.90/0.50 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.90/0.50 % Starting SubtermCWHack with 136s (1) cores
% 0.90/0.50 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.90/0.50 % Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.90/0.50 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.90/0.50 % Preprocessing time : 0.084 s
% 0.90/0.50
% 0.90/0.50 % Proof found!
% 0.90/0.50 % SZS status Theorem
% 0.90/0.50 % SZS output start CNFRefutation
% See solution above
% 0.90/0.50 % Parsed axioms : 85
% 0.90/0.50 % Removed by relevancy pruning/SinE : 0
% 0.90/0.50 % Initial clauses : 214
% 0.90/0.50 % Removed in clause preprocessing : 2
% 0.90/0.50 % Initial clauses in saturation : 212
% 0.90/0.50 % Processed clauses : 454
% 0.90/0.50 % ...of these trivial : 10
% 0.90/0.50 % ...subsumed : 74
% 0.90/0.50 % ...remaining for further processing : 370
% 0.90/0.50 % Other redundant clauses eliminated : 7
% 0.90/0.50 % Clauses deleted for lack of memory : 0
% 0.90/0.50 % Backward-subsumed : 29
% 0.90/0.50 % Backward-rewritten : 73
% 0.90/0.50 % Generated clauses : 2691
% 0.90/0.50 % ...of the previous two non-redundant : 2317
% 0.90/0.50 % ...aggressively subsumed : 0
% 0.90/0.50 % Contextual simplify-reflections : 0
% 0.90/0.50 % Paramodulations : 2612
% 0.90/0.50 % Factorizations : 52
% 0.90/0.50 % NegExts : 0
% 0.90/0.50 % Equation resolutions : 27
% 0.90/0.50 % Disequality decompositions : 0
% 0.90/0.50 % Total rewrite steps : 1037
% 0.90/0.50 % ...of those cached : 890
% 0.90/0.50 % Propositional unsat checks : 0
% 0.90/0.50 % Propositional check models : 0
% 0.90/0.50 % Propositional check unsatisfiable : 0
% 0.90/0.50 % Propositional clauses : 0
% 0.90/0.50 % Propositional clauses after purity: 0
% 0.90/0.50 % Propositional unsat core size : 0
% 0.90/0.50 % Propositional preprocessing time : 0.000
% 0.90/0.50 % Propositional encoding time : 0.000
% 0.90/0.50 % Propositional solver time : 0.000
% 0.90/0.50 % Success case prop preproc time : 0.000
% 0.90/0.50 % Success case prop encoding time : 0.000
% 0.90/0.50 % Success case prop solver time : 0.000
% 0.90/0.50 % Current number of processed clauses : 267
% 0.90/0.50 % Positive orientable unit clauses : 65
% 0.90/0.50 % Positive unorientable unit clauses: 4
% 0.90/0.50 % Negative unit clauses : 35
% 0.90/0.50 % Non-unit-clauses : 163
% 0.90/0.50 % Current number of unprocessed clauses: 1902
% 0.90/0.50 % ...number of literals in the above : 11726
% 0.90/0.50 % Current number of archived formulas : 0
% 0.90/0.50 % Current number of archived clauses : 104
% 0.90/0.50 % Clause-clause subsumption calls (NU) : 21878
% 0.90/0.50 % Rec. Clause-clause subsumption calls : 1764
% 0.90/0.50 % Non-unit clause-clause subsumptions : 27
% 0.90/0.50 % Unit Clause-clause subsumption calls : 4070
% 0.90/0.50 % Rewrite failures with RHS unbound : 0
% 0.90/0.50 % BW rewrite match attempts : 20
% 0.90/0.50 % BW rewrite match successes : 13
% 0.90/0.50 % Condensation attempts : 0
% 0.90/0.50 % Condensation successes : 0
% 0.90/0.50 % Termbank termtop insertions : 68633
% 0.90/0.50 % Search garbage collected termcells : 2320
% 0.90/0.50
% 0.90/0.50 % -------------------------------------------------
% 0.90/0.50 % User time : 0.136 s
% 0.90/0.50 % System time : 0.007 s
% 0.90/0.50 % Total time : 0.143 s
% 0.90/0.50 % Maximum resident set size: 4260 pages
% 0.90/0.50
% 0.90/0.50 % -------------------------------------------------
% 0.90/0.50 % User time : 0.729 s
% 0.90/0.50 % System time : 0.043 s
% 0.90/0.50 % Total time : 0.773 s
% 0.90/0.50 % Maximum resident set size: 4864 pages
% 0.90/0.50 % E exiting
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