%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV091+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 : n009.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 05:20:48 PM UTC 2026
% Result : Theorem 2.05s 1.91s
% Output : CNFRefutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 27
% Syntax : Number of formulae : 157 ( 108 unt; 0 def)
% Number of atoms : 603 ( 539 equ)
% Maximal formula atoms : 48 ( 3 avg)
% Number of connectives : 592 ( 146 ~; 325 |; 115 &)
% ( 1 <=>; 5 =>; 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 : 87 ( 3 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0003,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use )
=> ( a_select2(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(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(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),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),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),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),n5) = use ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0003) ).
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(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(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_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(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(successor_4,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_4) ).
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(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(leq_succ,axiom,
! [X1,X2] :
( leq(X1,X2)
=> leq(X1,succ(X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ) ).
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_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_27,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(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(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(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),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),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),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),n5) = use ) ),
inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0003]) ).
fof(c_0_28,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(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(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(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),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),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),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),n5) != use ) ),
inference(fof_nnf,[status(thm)],[c_0_27]) ).
cnf(c_0_29,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(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(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),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),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),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),n5) != use ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_30,negated_conjecture,
a_select2(rho_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_31,negated_conjecture,
a_select2(rho_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,negated_conjecture,
a_select2(rho_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,negated_conjecture,
a_select2(sigma_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
a_select2(sigma_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
a_select2(sigma_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,negated_conjecture,
a_select2(sigma_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_37,plain,
! [X341,X342,X343] : a_select2(tptp_update2(X341,X342,X343),X342) = X343,
inference(variable_rename,[status(thm)],[sel2_update_1]) ).
fof(c_0_38,plain,
! [X344,X345,X346,X347,X348] :
( X344 = X345
| a_select2(X346,X345) != X347
| a_select2(tptp_update2(X346,X344,X348),X345) = X347 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sel2_update_2])]) ).
cnf(c_0_39,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),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),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
| 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),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),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(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 ),
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_28]) ).
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_28]) ).
cnf(c_0_43,negated_conjecture,
a_select3(u_defuse,n1,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_44,negated_conjecture,
a_select3(u_defuse,n2,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_45,negated_conjecture,
a_select2(sigma_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_46,negated_conjecture,
a_select2(xinit_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_47,negated_conjecture,
a_select2(xinit_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_48,negated_conjecture,
a_select2(xinit_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_49,negated_conjecture,
a_select2(xinit_mean_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_50,negated_conjecture,
a_select2(xinit_mean_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_51,negated_conjecture,
a_select2(xinit_mean_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_52,negated_conjecture,
a_select2(xinit_mean_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_53,negated_conjecture,
a_select2(xinit_mean_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_54,negated_conjecture,
a_select2(xinit_mean_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_55,plain,
( X1 = X2
| a_select2(tptp_update2(X3,X1,X5),X2) = X4
| a_select2(X3,X2) != X4 ),
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),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),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
| 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),n4) != 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,
( a_select2(tptp_update2(X1,X2,X3),X4) = a_select2(X1,X4)
| X2 = X4 ),
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_58,negated_conjecture,
( n5 = n4
| 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(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),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),n3) != use ),
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,
( n5 = n3
| n5 = n4
| 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(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),n2) != use
| 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 ),
inference(spm,[status(thm)],[c_0_58,c_0_57]) ).
cnf(c_0_60,negated_conjecture,
( n5 = n2
| n5 = n4
| n5 = n3
| 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(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(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use
| 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 ),
inference(spm,[status(thm)],[c_0_59,c_0_57]) ).
cnf(c_0_61,negated_conjecture,
( n5 = n1
| n5 = n3
| n5 = n4
| n5 = n2
| 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(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(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use
| 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 ),
inference(spm,[status(thm)],[c_0_60,c_0_57]) ).
cnf(c_0_62,negated_conjecture,
( n5 = n0
| n5 = n2
| n5 = n4
| n5 = n3
| n5 = n1
| 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(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(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use
| 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 ),
inference(spm,[status(thm)],[c_0_61,c_0_57]) ).
cnf(c_0_63,negated_conjecture,
( n4 = n3
| n5 = n1
| n5 = n3
| n5 = n4
| n5 = n2
| n5 = n0
| 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(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(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_57]),c_0_41])]) ).
cnf(c_0_64,negated_conjecture,
( n4 = n2
| n5 = n0
| n5 = n2
| n5 = n4
| n5 = n3
| n5 = n1
| n4 = n3
| 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(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(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use ),
inference(spm,[status(thm)],[c_0_63,c_0_57]) ).
cnf(c_0_65,negated_conjecture,
( n4 = n1
| n4 = n3
| n5 = n1
| n5 = n3
| n5 = n4
| n5 = n2
| n5 = n0
| n4 = n2
| 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(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use ),
inference(spm,[status(thm)],[c_0_64,c_0_57]) ).
cnf(c_0_66,negated_conjecture,
( n4 = n0
| n4 = n2
| n5 = n0
| n5 = n2
| n5 = n4
| n5 = n3
| n5 = n1
| n4 = n3
| n4 = n1
| 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(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use ),
inference(spm,[status(thm)],[c_0_65,c_0_57]) ).
cnf(c_0_67,negated_conjecture,
( n3 = n2
| n4 = n1
| n4 = n3
| n5 = n1
| n5 = n3
| n5 = n4
| n5 = n2
| n5 = n0
| n4 = n2
| n4 = n0
| 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(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_57]),c_0_41])]) ).
fof(c_0_68,plain,
! [X305] : plus(X305,n2) = succ(succ(X305)),
inference(variable_rename,[status(thm)],[succ_plus_2_r]) ).
fof(c_0_69,plain,
! [X303] : plus(X303,n1) = succ(X303),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
fof(c_0_70,plain,
! [X304] : plus(n1,X304) = succ(X304),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
cnf(c_0_71,negated_conjecture,
( n3 = n1
| n4 = n0
| n4 = n2
| n5 = n0
| n5 = n2
| n5 = n4
| n5 = n3
| n5 = n1
| n4 = n3
| n4 = n1
| n3 = n2
| 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(xinit_noise_defuse,n0,use),n1,use),n2,use),n1) != use ),
inference(spm,[status(thm)],[c_0_67,c_0_57]) ).
fof(c_0_72,plain,
! [X307] : plus(X307,n3) = succ(succ(succ(X307))),
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,
( n3 = n0
| n3 = n2
| n4 = n1
| n4 = n3
| n5 = n1
| n5 = n3
| n5 = n4
| n5 = n2
| n5 = n0
| n4 = n2
| n4 = n0
| n3 = n1
| 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(xinit_noise_defuse,n0,use),n1,use),n2,use),n1) != use ),
inference(spm,[status(thm)],[c_0_71,c_0_57]) ).
fof(c_0_79,plain,
! [X1] : ~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).
fof(c_0_80,plain,
! [X219,X220] :
( ( ~ leq(X219,X220)
| gt(succ(X220),X219) )
& ( ~ gt(succ(X220),X219)
| leq(X219,X220) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ_gt_equiv])]) ).
fof(c_0_81,plain,
! [X308] : plus(n3,X308) = succ(succ(succ(X308))),
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]) ).
cnf(c_0_88,negated_conjecture,
( n2 = n1
| n3 = n1
| n4 = n0
| n4 = n2
| n5 = n0
| n5 = n2
| n5 = n4
| n5 = n3
| n5 = n1
| n4 = n3
| n4 = n1
| n3 = n2
| n3 = n0
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n0) != use ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_57]),c_0_41])]) ).
fof(c_0_89,plain,
! [X201] : ~ gt(X201,X201),
inference(variable_rename,[status(thm)],[c_0_79]) ).
cnf(c_0_90,plain,
( gt(succ(X2),X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_91,plain,
plus(n3,X1) = succ(succ(succ(X1))),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_92,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_93,plain,
plus(n1,plus(X1,n1)) = plus(X1,n2),
inference(rw,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_94,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(split_conjunct,[status(thm)],[successor_4]) ).
cnf(c_0_95,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_96,plain,
plus(n1,n1) = n2,
inference(rw,[status(thm)],[c_0_86,c_0_87]) ).
fof(c_0_97,plain,
! [X306] : plus(n2,X306) = succ(succ(X306)),
inference(variable_rename,[status(thm)],[succ_plus_2_l]) ).
fof(c_0_98,plain,
! [X210,X211] :
( ~ gt(X211,X210)
| leq(X210,X211) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt1])]) ).
cnf(c_0_99,negated_conjecture,
( n2 = n0
| n3 = n0
| n3 = n2
| n4 = n1
| n4 = n3
| n5 = n1
| n5 = n3
| n5 = n4
| n5 = n2
| n5 = n0
| n4 = n2
| n4 = n0
| n3 = n1
| n2 = n1
| a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n0) != use ),
inference(spm,[status(thm)],[c_0_88,c_0_57]) ).
cnf(c_0_100,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_101,plain,
( gt(plus(X2,n1),X1)
| ~ leq(X1,X2) ),
inference(rw,[status(thm)],[c_0_90,c_0_74]) ).
cnf(c_0_102,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_91,c_0_74]),c_0_74]),c_0_74]) ).
cnf(c_0_103,plain,
plus(n1,plus(X1,n2)) = plus(X1,n3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_84]),c_0_93]),c_0_84]) ).
cnf(c_0_104,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_94,c_0_74]),c_0_74]),c_0_74]),c_0_74]) ).
cnf(c_0_105,plain,
plus(n1,n2) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_87]),c_0_96]),c_0_84]) ).
cnf(c_0_106,plain,
plus(n2,X1) = succ(succ(X1)),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_107,plain,
( leq(X2,X1)
| ~ gt(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_108,plain,
gt(n5,n4),
inference(split_conjunct,[status(thm)],[gt_5_4]) ).
cnf(c_0_109,negated_conjecture,
( n1 = n0
| n2 = n1
| n3 = n1
| n4 = n0
| n4 = n2
| n5 = n0
| n5 = n2
| n5 = n4
| n5 = n3
| n5 = n1
| n4 = n3
| n4 = n1
| n3 = n2
| n3 = n0
| n2 = n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_57]),c_0_41])]) ).
cnf(c_0_110,plain,
~ leq(plus(X1,n1),X1),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_111,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_102,c_0_84]),c_0_93]),c_0_84]),c_0_103]) ).
cnf(c_0_112,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_104,c_0_87]),c_0_96]),c_0_84]),c_0_105]),c_0_84]) ).
cnf(c_0_113,plain,
plus(n2,X1) = plus(plus(X1,n1),n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_74]),c_0_74]) ).
fof(c_0_114,plain,
! [X217,X218] :
( ~ leq(X217,X218)
| leq(X217,succ(X218)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_succ])]) ).
cnf(c_0_115,plain,
gt(n5,n3),
inference(split_conjunct,[status(thm)],[gt_5_3]) ).
cnf(c_0_116,plain,
leq(n4,n5),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_117,negated_conjecture,
( n2 = n0
| n3 = n0
| n3 = n2
| n4 = n1
| n4 = n3
| n5 = n1
| n5 = n3
| n5 = n2
| n5 = n0
| n4 = n2
| n4 = n0
| n3 = n1
| n2 = n1
| n1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_100]) ).
cnf(c_0_118,plain,
~ leq(n4,n3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]) ).
cnf(c_0_119,plain,
plus(X1,n2) = plus(n2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_84]),c_0_93]) ).
cnf(c_0_120,plain,
( leq(X1,succ(X2))
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_121,plain,
gt(n5,n2),
inference(split_conjunct,[status(thm)],[gt_5_2]) ).
cnf(c_0_122,plain,
leq(n3,n5),
inference(spm,[status(thm)],[c_0_107,c_0_115]) ).
cnf(c_0_123,negated_conjecture,
( n1 = n0
| n2 = n1
| n3 = n1
| n4 = n0
| n4 = n2
| n5 = n0
| n5 = n2
| n5 = n1
| n4 = n3
| n4 = n1
| n3 = n2
| n3 = n0
| n2 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]) ).
cnf(c_0_124,plain,
~ leq(n3,n2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_119]),c_0_105]) ).
cnf(c_0_125,plain,
( leq(X1,plus(X2,n1))
| ~ leq(X1,X2) ),
inference(rw,[status(thm)],[c_0_120,c_0_74]) ).
cnf(c_0_126,plain,
leq(n2,n5),
inference(spm,[status(thm)],[c_0_107,c_0_121]) ).
cnf(c_0_127,negated_conjecture,
( n2 = n0
| n3 = n0
| n3 = n2
| n4 = n1
| n4 = n3
| n5 = n1
| n5 = n0
| n4 = n2
| n4 = n0
| n3 = n1
| n2 = n1
| n1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]) ).
cnf(c_0_128,plain,
~ leq(n2,n1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_84]),c_0_96]) ).
cnf(c_0_129,plain,
~ leq(plus(X1,n2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_125]),c_0_84]),c_0_93]) ).
cnf(c_0_130,plain,
plus(n0,n2) = n2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_87]),c_0_96]) ).
cnf(c_0_131,negated_conjecture,
( n1 = n0
| n2 = n1
| n3 = n1
| n4 = n0
| n4 = n2
| n5 = n0
| n4 = n3
| n4 = n1
| n3 = n2
| n3 = n0
| n2 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]) ).
cnf(c_0_132,plain,
~ leq(n2,n0),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_133,plain,
gt(n4,n3),
inference(split_conjunct,[status(thm)],[gt_4_3]) ).
cnf(c_0_134,negated_conjecture,
( n2 = n0
| n3 = n0
| n3 = n2
| n4 = n1
| n4 = n3
| n4 = n2
| n4 = n0
| n3 = n1
| n2 = n1
| n1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_131]),c_0_132]) ).
cnf(c_0_135,plain,
leq(n3,n4),
inference(spm,[status(thm)],[c_0_107,c_0_133]) ).
cnf(c_0_136,negated_conjecture,
( n1 = n0
| n2 = n1
| n3 = n1
| n4 = n0
| n4 = n2
| n4 = n1
| n3 = n2
| n3 = n0
| n2 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_100]) ).
cnf(c_0_137,negated_conjecture,
( n2 = n0
| n3 = n0
| n3 = n2
| n4 = n1
| n4 = n0
| n3 = n1
| n2 = n1
| n1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_124]) ).
cnf(c_0_138,plain,
~ leq(n3,n1),
inference(spm,[status(thm)],[c_0_129,c_0_105]) ).
cnf(c_0_139,plain,
~ leq(plus(n2,plus(X1,n1)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_125]),c_0_119]) ).
cnf(c_0_140,negated_conjecture,
( n1 = n0
| n2 = n1
| n3 = n1
| n4 = n0
| n3 = n2
| n3 = n0
| n2 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_137]),c_0_138]) ).
cnf(c_0_141,plain,
~ leq(n3,n0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_87]),c_0_84]),c_0_105]) ).
cnf(c_0_142,plain,
gt(n3,n2),
inference(split_conjunct,[status(thm)],[gt_3_2]) ).
cnf(c_0_143,negated_conjecture,
( n2 = n0
| n3 = n0
| n3 = n2
| n3 = n1
| n2 = n1
| n1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_140]),c_0_141]) ).
cnf(c_0_144,plain,
gt(n3,n1),
inference(split_conjunct,[status(thm)],[gt_3_1]) ).
cnf(c_0_145,negated_conjecture,
( n1 = n0
| n2 = n1
| n3 = n1
| n3 = n0
| n2 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_100]) ).
cnf(c_0_146,plain,
gt(n3,n0),
inference(split_conjunct,[status(thm)],[gt_3_0]) ).
cnf(c_0_147,negated_conjecture,
( n2 = n0
| n3 = n0
| n2 = n1
| n1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_100]) ).
cnf(c_0_148,plain,
gt(n2,n1),
inference(split_conjunct,[status(thm)],[gt_2_1]) ).
cnf(c_0_149,negated_conjecture,
( n1 = n0
| n2 = n1
| n2 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_100]) ).
cnf(c_0_150,plain,
gt(n2,n0),
inference(split_conjunct,[status(thm)],[gt_2_0]) ).
cnf(c_0_151,negated_conjecture,
( n2 = n0
| n1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_100]) ).
fof(c_0_152,plain,
! [X202] : leq(X202,X202),
inference(variable_rename,[status(thm)],[reflexivity_leq]) ).
cnf(c_0_153,plain,
~ leq(n1,n0),
inference(spm,[status(thm)],[c_0_110,c_0_87]) ).
cnf(c_0_154,negated_conjecture,
n1 = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_100]) ).
cnf(c_0_155,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_156,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_154]),c_0_155])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV091+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
% 0.14/0.33 % Computer : n009.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 04:55:41 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 2.05/1.91 % Version : CSE_E---1.7
% 2.05/1.91 % Problem : theBenchmark.p
% 2.05/1.91 % SZS status Theorem for theBenchmark.p
% 2.05/1.91 % SZS output start CNFRefutation
% See solution above
% 2.05/1.92 % Total time : 1.372s
%------------------------------------------------------------------------------