%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV090+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 : 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 05:20:48 PM UTC 2026
% Result : Theorem 2.05s 1.90s
% Output : CNFRefutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 25
% Syntax : Number of formulae : 120 ( 78 unt; 0 def)
% Number of atoms : 511 ( 465 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 506 ( 115 ~; 302 |; 85 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-3 aty)
% Number of variables : 58 ( 3 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0002,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(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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_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_mean_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_mean_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_0002) ).
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(irreflexivity_gt,axiom,
! [X1] : ~ gt(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(gt_5_4,axiom,
gt(n5,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_4) ).
fof(gt_5_3,axiom,
gt(n5,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_3) ).
fof(gt_5_2,axiom,
gt(n5,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_2) ).
fof(gt_5_1,axiom,
gt(n5,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_1) ).
fof(gt_5_0,axiom,
gt(n5,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_5_0) ).
fof(gt_4_3,axiom,
gt(n4,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_3) ).
fof(gt_4_2,axiom,
gt(n4,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_2) ).
fof(gt_4_1,axiom,
gt(n4,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_1) ).
fof(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(gt_4_0,axiom,
gt(n4,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_4_0) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_succ) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(succ_plus_1_l,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
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(gt_3_2,axiom,
gt(n3,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_2) ).
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(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_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_25,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(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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_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_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) = use ) ),
inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0002]) ).
fof(c_0_26,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(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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_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_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use ) ),
inference(fof_nnf,[status(thm)],[c_0_25]) ).
cnf(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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_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_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_28,negated_conjecture,
a_select2(rho_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_29,negated_conjecture,
a_select2(rho_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,negated_conjecture,
a_select2(rho_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,negated_conjecture,
a_select2(sigma_defuse,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,negated_conjecture,
a_select2(sigma_defuse,n1) = use,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,negated_conjecture,
a_select2(sigma_defuse,n2) = use,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,negated_conjecture,
a_select2(sigma_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_35,plain,
! [X341,X342,X343] : a_select2(tptp_update2(X341,X342,X343),X342) = X343,
inference(variable_rename,[status(thm)],[sel2_update_1]) ).
fof(c_0_36,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_37,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_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_mean_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_mean_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 ),
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_27,c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_38,negated_conjecture,
a_select2(sigma_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39,plain,
a_select2(tptp_update2(X1,X2,X3),X2) = X3,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,negated_conjecture,
a_select3(u_defuse,n0,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_41,negated_conjecture,
a_select3(u_defuse,n1,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_42,negated_conjecture,
a_select3(u_defuse,n2,n0) = use,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_43,negated_conjecture,
a_select2(sigma_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_44,negated_conjecture,
a_select2(xinit_defuse,n3) = use,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_45,negated_conjecture,
a_select2(xinit_defuse,n4) = use,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_46,negated_conjecture,
a_select2(xinit_defuse,n5) = use,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_47,plain,
( X1 = X2
| a_select2(tptp_update2(X3,X1,X5),X2) = X4
| a_select2(X3,X2) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_48,negated_conjecture,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_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_mean_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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]),c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46])]) ).
cnf(c_0_49,plain,
( a_select2(tptp_update2(X1,X2,X3),X4) = a_select2(X1,X4)
| X2 = X4 ),
inference(er,[status(thm)],[c_0_47]) ).
cnf(c_0_50,negated_conjecture,
( n5 = n4
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_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_48,c_0_49]),c_0_39])]) ).
cnf(c_0_51,negated_conjecture,
( n5 = n3
| n5 = n4
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use ),
inference(spm,[status(thm)],[c_0_50,c_0_49]) ).
cnf(c_0_52,negated_conjecture,
( n5 = n2
| n5 = n4
| n5 = n3
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use ),
inference(spm,[status(thm)],[c_0_51,c_0_49]) ).
cnf(c_0_53,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_mean_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_mean_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_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use ),
inference(spm,[status(thm)],[c_0_52,c_0_49]) ).
cnf(c_0_54,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_mean_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_mean_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_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use ),
inference(spm,[status(thm)],[c_0_53,c_0_49]) ).
cnf(c_0_55,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_mean_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_mean_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_mean_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_54,c_0_49]),c_0_39])]) ).
cnf(c_0_56,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_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use ),
inference(spm,[status(thm)],[c_0_55,c_0_49]) ).
cnf(c_0_57,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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use ),
inference(spm,[status(thm)],[c_0_56,c_0_49]) ).
cnf(c_0_58,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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use ),
inference(spm,[status(thm)],[c_0_57,c_0_49]) ).
cnf(c_0_59,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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_58,c_0_49]),c_0_39])]) ).
cnf(c_0_60,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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1) != use ),
inference(spm,[status(thm)],[c_0_59,c_0_49]) ).
cnf(c_0_61,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_mean_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1) != use ),
inference(spm,[status(thm)],[c_0_60,c_0_49]) ).
cnf(c_0_62,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_mean_defuse,n0,use),n1,use),n2,use),n0) != use ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_49]),c_0_39])]) ).
fof(c_0_63,plain,
! [X1] : ~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[irreflexivity_gt]) ).
cnf(c_0_64,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_mean_defuse,n0,use),n1,use),n0) != use ),
inference(spm,[status(thm)],[c_0_62,c_0_49]) ).
fof(c_0_65,plain,
! [X201] : ~ gt(X201,X201),
inference(variable_rename,[status(thm)],[c_0_63]) ).
cnf(c_0_66,plain,
gt(n5,n4),
inference(split_conjunct,[status(thm)],[gt_5_4]) ).
cnf(c_0_67,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_64,c_0_49]),c_0_39])]) ).
cnf(c_0_68,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_69,plain,
gt(n5,n3),
inference(split_conjunct,[status(thm)],[gt_5_3]) ).
cnf(c_0_70,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_66,c_0_67]),c_0_68]) ).
cnf(c_0_71,plain,
gt(n5,n2),
inference(split_conjunct,[status(thm)],[gt_5_2]) ).
cnf(c_0_72,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_69,c_0_70]),c_0_68]) ).
cnf(c_0_73,plain,
gt(n5,n1),
inference(split_conjunct,[status(thm)],[gt_5_1]) ).
cnf(c_0_74,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_71,c_0_72]),c_0_68]) ).
cnf(c_0_75,plain,
gt(n5,n0),
inference(split_conjunct,[status(thm)],[gt_5_0]) ).
cnf(c_0_76,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_73,c_0_74]),c_0_68]) ).
cnf(c_0_77,plain,
gt(n4,n3),
inference(split_conjunct,[status(thm)],[gt_4_3]) ).
cnf(c_0_78,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_75,c_0_76]),c_0_68]) ).
cnf(c_0_79,plain,
gt(n4,n2),
inference(split_conjunct,[status(thm)],[gt_4_2]) ).
cnf(c_0_80,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_77,c_0_78]),c_0_68]) ).
cnf(c_0_81,plain,
gt(n4,n1),
inference(split_conjunct,[status(thm)],[gt_4_1]) ).
cnf(c_0_82,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_79,c_0_80]),c_0_68]) ).
fof(c_0_83,plain,
! [X303] : plus(X303,n1) = succ(X303),
inference(variable_rename,[status(thm)],[succ_plus_1_r]) ).
cnf(c_0_84,plain,
gt(n4,n0),
inference(split_conjunct,[status(thm)],[gt_4_0]) ).
cnf(c_0_85,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_81,c_0_82]),c_0_68]) ).
fof(c_0_86,plain,
! [X314] : pred(succ(X314)) = X314,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_87,plain,
! [X313] : minus(X313,n1) = pred(X313),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
fof(c_0_88,plain,
! [X304] : plus(n1,X304) = succ(X304),
inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).
cnf(c_0_89,plain,
succ(succ(n0)) = n2,
inference(split_conjunct,[status(thm)],[successor_2]) ).
cnf(c_0_90,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_91,plain,
succ(n0) = n1,
inference(split_conjunct,[status(thm)],[successor_1]) ).
cnf(c_0_92,plain,
gt(n3,n2),
inference(split_conjunct,[status(thm)],[gt_3_2]) ).
cnf(c_0_93,negated_conjecture,
( n2 = n0
| n3 = n0
| n3 = n2
| n3 = n1
| n2 = n1
| n1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_68]) ).
fof(c_0_94,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])]) ).
cnf(c_0_95,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_96,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_97,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_98,plain,
plus(plus(n0,n1),n1) = n2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90]),c_0_90]) ).
cnf(c_0_99,plain,
plus(n0,n1) = n1,
inference(rw,[status(thm)],[c_0_91,c_0_90]) ).
cnf(c_0_100,plain,
gt(n3,n1),
inference(split_conjunct,[status(thm)],[gt_3_1]) ).
cnf(c_0_101,negated_conjecture,
( n1 = n0
| n2 = n1
| n3 = n1
| n3 = n0
| n2 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_68]) ).
cnf(c_0_102,plain,
( gt(succ(X2),X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_103,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_90]),c_0_96]) ).
cnf(c_0_104,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[c_0_97,c_0_90]) ).
cnf(c_0_105,plain,
plus(n1,n1) = n2,
inference(rw,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_106,plain,
gt(n3,n0),
inference(split_conjunct,[status(thm)],[gt_3_0]) ).
cnf(c_0_107,negated_conjecture,
( n2 = n0
| n3 = n0
| n2 = n1
| n1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_68]) ).
cnf(c_0_108,plain,
( gt(plus(X2,n1),X1)
| ~ leq(X1,X2) ),
inference(rw,[status(thm)],[c_0_102,c_0_90]) ).
cnf(c_0_109,plain,
minus(n2,n1) = n1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).
cnf(c_0_110,negated_conjecture,
( n1 = n0
| n2 = n1
| n2 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_68]) ).
cnf(c_0_111,plain,
minus(n1,n1) = n0,
inference(spm,[status(thm)],[c_0_103,c_0_99]) ).
cnf(c_0_112,plain,
~ leq(plus(X1,n1),X1),
inference(spm,[status(thm)],[c_0_68,c_0_108]) ).
cnf(c_0_113,plain,
gt(n2,n0),
inference(split_conjunct,[status(thm)],[gt_2_0]) ).
cnf(c_0_114,negated_conjecture,
( n2 = n0
| n1 = n0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111])]) ).
fof(c_0_115,plain,
! [X202] : leq(X202,X202),
inference(variable_rename,[status(thm)],[reflexivity_leq]) ).
cnf(c_0_116,plain,
~ leq(n1,n0),
inference(spm,[status(thm)],[c_0_112,c_0_99]) ).
cnf(c_0_117,negated_conjecture,
n1 = n0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_68]) ).
cnf(c_0_118,plain,
leq(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_119,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117]),c_0_118])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV090+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : 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 04:55:45 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 2.05/1.90 % Version : CSE_E---1.7
% 2.05/1.90 % Problem : theBenchmark.p
% 2.05/1.90 % SZS status Theorem for theBenchmark.p
% 2.05/1.90 % SZS output start CNFRefutation
% See solution above
% 2.05/1.91 % Total time : 1.373s
%------------------------------------------------------------------------------