%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV103+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.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 : Fri Sep 25 03:16:26 PM UTC 2026
% Result : Theorem 4.40s 1.31s
% Output : CNFRefutation 4.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 25
% Syntax : Number of formulae : 157 ( 74 unt; 0 def)
% Number of atoms : 655 ( 547 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 700 ( 202 ~; 448 |; 46 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-3 aty)
% Number of variables : 81 ( 0 sgn 81 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',totality) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).
fof(f13,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).
fof(f30,axiom,
! [X0] : plus(n1,X0) = succ(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).
fof(f48,axiom,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).
fof(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( a_select2(X2,X1) = X3
& X0 != X1 )
=> a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).
fof(f53,conjecture,
( ( 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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0015) ).
fof(f54,negated_conjecture,
~ ( ( 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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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 ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_4) ).
fof(f62,axiom,
gt(n4,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_0) ).
fof(f63,axiom,
gt(n5,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_0) ).
fof(f65,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).
fof(f66,axiom,
gt(n3,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_0) ).
fof(f67,axiom,
gt(n4,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_1) ).
fof(f68,axiom,
gt(n5,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_1) ).
fof(f69,axiom,
gt(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_1) ).
fof(f70,axiom,
gt(n3,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_1) ).
fof(f71,axiom,
gt(n4,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_2) ).
fof(f72,axiom,
gt(n5,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_2) ).
fof(f73,axiom,
gt(n3,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_2) ).
fof(f74,axiom,
gt(n4,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_3) ).
fof(f75,axiom,
gt(n5,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_3) ).
fof(f84,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f87,plain,
( 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
& ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f88,plain,
( 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
& ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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) ) ),
inference(flattening,[],[f87]) ).
fof(f93,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(X2,X1) != X3
| X0 = X1
| a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
inference(ennf_transformation,[],[f49]) ).
fof(f94,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(X2,X1) != X3
| X0 = X1
| a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
inference(flattening,[],[f93]) ).
fof(f116,plain,
! [X0,X1] :
( ( ~ leq(X0,X1)
| gt(succ(X1),X0) )
& ( ~ gt(succ(X1),X0)
| leq(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f117,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f88]) ).
fof(f118,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f88]) ).
fof(f119,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f88]) ).
fof(f120,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f88]) ).
fof(f121,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f88]) ).
fof(f122,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f88]) ).
fof(f123,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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) ),
inference(cnf_transformation,[],[f88]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4] :
( a_select2(X2,X1) != X3
| X0 = X1
| a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
inference(cnf_transformation,[],[f94]) ).
fof(f129,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f48]) ).
fof(f130,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f136,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f70]) ).
fof(f137,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f69]) ).
fof(f138,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f68]) ).
fof(f139,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f67]) ).
fof(f142,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f73]) ).
fof(f143,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f72]) ).
fof(f144,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f71]) ).
fof(f145,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f149,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f75]) ).
fof(f150,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f74]) ).
fof(f151,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f66]) ).
fof(f156,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f62]) ).
fof(f158,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f55]) ).
fof(f162,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f63]) ).
fof(f169,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f175,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f177,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f179,plain,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f180,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f186,plain,
n1 = plus(n1,n0),
inference(definition_unfolding,[],[f130,f180]) ).
fof(f203,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| gt(plus(n1,X1),X0) ),
inference(definition_unfolding,[],[f169,f180]) ).
fof(f208,plain,
! [X2,X0,X1,X4] :
( X0 = X1
| a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1) ),
inference(equality_resolution,[],[f128]) ).
tcf(c_49,negated_conjecture,
( ( 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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use ) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_50,negated_conjecture,
a_select3(u_defuse,n0,n0) = use,
inference(cnf_transformation,[],[f122]) ).
tcf(c_51,negated_conjecture,
a_select3(u_defuse,n1,n0) = use,
inference(cnf_transformation,[],[f121]) ).
tcf(c_52,negated_conjecture,
a_select3(u_defuse,n2,n0) = use,
inference(cnf_transformation,[],[f120]) ).
tcf(c_53,negated_conjecture,
a_select2(xinit_defuse,n3) = use,
inference(cnf_transformation,[],[f119]) ).
tcf(c_54,negated_conjecture,
a_select2(xinit_defuse,n4) = use,
inference(cnf_transformation,[],[f118]) ).
tcf(c_55,negated_conjecture,
a_select2(xinit_defuse,n5) = use,
inference(cnf_transformation,[],[f117]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( a_select2(tptp_update2(X0,X1,X2),X3) = a_select2(X0,X3) ) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f129]) ).
tcf(c_62,plain,
plus(n1,n0) = n1,
inference(cnf_transformation,[],[f186]) ).
tcf(c_68,plain,
gt(n3,n1),
inference(cnf_transformation,[],[f136]) ).
tcf(c_69,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f137]) ).
tcf(c_70,plain,
gt(n5,n1),
inference(cnf_transformation,[],[f138]) ).
tcf(c_71,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f139]) ).
tcf(c_74,plain,
gt(n3,n2),
inference(cnf_transformation,[],[f142]) ).
tcf(c_75,plain,
gt(n5,n2),
inference(cnf_transformation,[],[f143]) ).
tcf(c_76,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f144]) ).
tcf(c_77,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f145]) ).
tcf(c_81,plain,
gt(n5,n3),
inference(cnf_transformation,[],[f149]) ).
tcf(c_82,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f150]) ).
tcf(c_83,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f151]) ).
tcf(c_88,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f156]) ).
tcf(c_90,plain,
gt(n5,n4),
inference(cnf_transformation,[],[f158]) ).
tcf(c_94,plain,
gt(n5,n0),
inference(cnf_transformation,[],[f162]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( gt(plus(n1,X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_107,plain,
! [X0: $i] : leq(X0,X0),
inference(cnf_transformation,[],[f175]) ).
tcf(c_109,plain,
! [X0: $i] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f177]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| gt(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_117,plain,
leq(n1,n1),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_118,plain,
~ gt(n1,n1),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_124,plain,
( gt(n1,n1)
| ( n1 = n1 ) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_141,negated_conjecture,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use ) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_55,c_54,c_53,c_52,c_51,c_50,c_49]) ).
tcf(c_334,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_141,c_61]) ).
tcf(c_698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X0,X2)
| ~ leq(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( gt(X0,X2)
| ~ gt(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1701,plain,
! [X0: $i] :
( gt(n1,X0)
| ~ leq(X0,n0) ),
inference(superposition,[status(thm)],[c_62,c_102]) ).
tcf(c_1733,plain,
( gt(n1,n1)
| ~ leq(n1,n0) ),
inference(instantiation,[status(thm)],[c_1701]) ).
tcf(c_1881,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,n0)
| ~ leq(X1,X2)
| ( n0 != X2 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1882,plain,
( leq(n1,n0)
| ~ leq(n1,n1)
| ( n1 != n1 )
| ( n0 != n1 ) ),
inference(instantiation,[status(thm)],[c_1881]) ).
tcf(c_1885,plain,
! [X0: $i,X1: $i] :
( gt(X0,X1)
| ~ gt(n3,n1)
| ( X1 != n1 )
| ( X0 != n3 ) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_1886,plain,
( gt(n1,n1)
| ~ gt(n3,n1)
| ( n1 != n3 )
| ( n1 != n1 ) ),
inference(instantiation,[status(thm)],[c_1885]) ).
tcf(c_1887,plain,
! [X0: $i,X1: $i] :
( gt(X0,X1)
| ~ gt(n2,n1)
| ( X1 != n1 )
| ( X0 != n2 ) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_1888,plain,
( gt(n1,n1)
| ~ gt(n2,n1)
| ( n1 != n2 )
| ( n1 != n1 ) ),
inference(instantiation,[status(thm)],[c_1887]) ).
tcf(c_1889,plain,
! [X0: $i,X1: $i] :
( gt(X0,X1)
| ~ gt(n5,n1)
| ( X1 != n1 )
| ( X0 != n5 ) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_1890,plain,
( gt(n1,n1)
| ~ gt(n5,n1)
| ( n1 != n5 )
| ( n1 != n1 ) ),
inference(instantiation,[status(thm)],[c_1889]) ).
tcf(c_1891,plain,
! [X0: $i,X1: $i] :
( gt(X0,X1)
| ~ gt(n4,n1)
| ( X1 != n1 )
| ( X0 != n4 ) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_1892,plain,
( gt(n1,n1)
| ~ gt(n4,n1)
| ( n1 != n4 )
| ( n1 != n1 ) ),
inference(instantiation,[status(thm)],[c_1891]) ).
tcf(c_2862,plain,
( ( n0 = n5 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use ) ),
inference(superposition,[status(thm)],[c_60,c_334]) ).
tcf(c_2951,plain,
( ( n1 = n5 )
| ( n0 = n5 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use ) ),
inference(superposition,[status(thm)],[c_60,c_2862]) ).
tcf(c_2959,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use )
| ( n0 = n5 ) ),
inference(global_subsumption_just,[status(thm)],[c_2951,c_70,c_118,c_124,c_1890,c_2951]) ).
tcf(c_2960,plain,
( ( n0 = n5 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use ) ),
inference(renaming,[status(thm)],[c_2959]) ).
tcf(c_2973,plain,
( ( n2 = n5 )
| ( n0 = n5 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use ) ),
inference(superposition,[status(thm)],[c_60,c_2960]) ).
tcf(c_2995,plain,
( ( n3 = n5 )
| ( n2 = n5 )
| ( n0 = n5 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use ) ),
inference(superposition,[status(thm)],[c_60,c_2973]) ).
tcf(c_3020,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n2 = n5 )
| ( n0 = n5 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n4) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use ) ),
inference(superposition,[status(thm)],[c_60,c_2995]) ).
tcf(c_3021,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n2 = n5 )
| ( n0 = n5 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use ) ),
inference(ground_joinability,[status(thm)],[c_3020,c_61]) ).
tcf(c_3046,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n2 = n5 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use ) ),
inference(superposition,[status(thm)],[c_60,c_3021]) ).
tcf(c_3074,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n2 = n5 )
| ( n1 = n4 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use ) ),
inference(superposition,[status(thm)],[c_60,c_3046]) ).
tcf(c_3085,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n2 = n5 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use )
| ( n0 = n4 )
| ( n0 = n5 ) ),
inference(global_subsumption_just,[status(thm)],[c_3074,c_71,c_118,c_124,c_1892,c_3074]) ).
tcf(c_3086,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n2 = n5 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_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(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use ) ),
inference(renaming,[status(thm)],[c_3085]) ).
tcf(c_3105,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use ) ),
inference(superposition,[status(thm)],[c_60,c_3086]) ).
tcf(c_3136,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n3) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use ) ),
inference(superposition,[status(thm)],[c_60,c_3105]) ).
tcf(c_3137,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use ) ),
inference(ground_joinability,[status(thm)],[c_3136,c_61]) ).
tcf(c_3504,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use ) ),
inference(superposition,[status(thm)],[c_60,c_3137]) ).
tcf(c_3538,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n1 = n3 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use ) ),
inference(superposition,[status(thm)],[c_60,c_3504]) ).
tcf(c_3551,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n1) != use )
| ( n0 = n3 )
| ( n0 = n4 )
| ( n0 = n5 ) ),
inference(global_subsumption_just,[status(thm)],[c_3538,c_68,c_118,c_124,c_1886,c_3538]) ).
tcf(c_3552,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use ) ),
inference(renaming,[status(thm)],[c_3551]) ).
tcf(c_3575,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n0) != use ) ),
inference(superposition,[status(thm)],[c_60,c_3552]) ).
tcf(c_3576,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n0) != use ) ),
inference(ground_joinability,[status(thm)],[c_3575,c_61]) ).
tcf(c_3610,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( a_select2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n2,use),n1) != use ) ),
inference(superposition,[status(thm)],[c_60,c_3576]) ).
tcf(c_3647,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n2 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( a_select2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n0) != use ) ),
inference(superposition,[status(thm)],[c_60,c_3610]) ).
tcf(c_3648,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n1 = n2 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( a_select2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n0) != use ) ),
inference(ground_joinability,[status(thm)],[c_3647,c_61]) ).
tcf(c_3661,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( a_select2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n0) != use )
| ( n0 = n2 )
| ( n0 = n3 )
| ( n0 = n4 )
| ( n0 = n5 ) ),
inference(global_subsumption_just,[status(thm)],[c_3648,c_69,c_118,c_124,c_1888,c_3648]) ).
tcf(c_3662,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( a_select2(tptp_update2(tptp_update2(sigma_defuse,n0,use),n1,use),n0) != use ) ),
inference(renaming,[status(thm)],[c_3661]) ).
tcf(c_3685,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 )
| ( a_select2(tptp_update2(sigma_defuse,n0,use),n0) != use ) ),
inference(superposition,[status(thm)],[c_60,c_3662]) ).
tcf(c_3686,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 )
| ( n0 = n1 ) ),
inference(ground_joinability,[status(thm)],[c_3685,c_61]) ).
tcf(c_3698,plain,
( ( n4 = n5 )
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 ) ),
inference(global_subsumption_just,[status(thm)],[c_3686,c_117,c_118,c_124,c_1733,c_1882,c_3686]) ).
tcf(c_3738,plain,
( gt(n4,n4)
| ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 ) ),
inference(superposition,[status(thm)],[c_3698,c_90]) ).
tcf(c_3744,plain,
( ( n3 = n5 )
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3738,c_109]) ).
tcf(c_3791,plain,
( gt(n3,n3)
| ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 ) ),
inference(superposition,[status(thm)],[c_3744,c_81]) ).
tcf(c_3796,plain,
( ( n3 = n4 )
| ( n2 = n5 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3791,c_109]) ).
tcf(c_4026,plain,
( gt(n2,n2)
| ( n3 = n4 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 ) ),
inference(superposition,[status(thm)],[c_3796,c_75]) ).
tcf(c_4030,plain,
( ( n3 = n4 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n0 = n5 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4026,c_109]) ).
tcf(c_4094,plain,
( gt(n0,n0)
| ( n3 = n4 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 ) ),
inference(superposition,[status(thm)],[c_4030,c_94]) ).
tcf(c_4129,plain,
( ( n3 = n4 )
| ( n2 = n4 )
| ( n2 = n3 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4094,c_109]) ).
tcf(c_4184,plain,
( gt(n3,n3)
| ( n2 = n4 )
| ( n2 = n3 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 ) ),
inference(superposition,[status(thm)],[c_4129,c_82]) ).
tcf(c_4189,plain,
( ( n2 = n4 )
| ( n2 = n3 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4184,c_109]) ).
tcf(c_4236,plain,
( gt(n2,n2)
| ( n2 = n3 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 ) ),
inference(superposition,[status(thm)],[c_4189,c_76]) ).
tcf(c_4240,plain,
( ( n2 = n3 )
| ( n0 = n4 )
| ( n0 = n3 )
| ( n0 = n2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4236,c_109]) ).
tcf(c_4282,plain,
( gt(n0,n0)
| ( n2 = n3 )
| ( n0 = n3 )
| ( n0 = n2 ) ),
inference(superposition,[status(thm)],[c_4240,c_88]) ).
tcf(c_4300,plain,
( ( n2 = n3 )
| ( n0 = n3 )
| ( n0 = n2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4282,c_109]) ).
tcf(c_4350,plain,
( gt(n2,n2)
| ( n0 = n3 )
| ( n0 = n2 ) ),
inference(superposition,[status(thm)],[c_4300,c_74]) ).
tcf(c_4354,plain,
( ( n0 = n3 )
| ( n0 = n2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4350,c_109]) ).
tcf(c_4395,plain,
( gt(n0,n0)
| ( n0 = n2 ) ),
inference(superposition,[status(thm)],[c_4354,c_83]) ).
tcf(c_4406,plain,
n0 = n2,
inference(forward_subsumption_resolution,[status(thm)],[c_4395,c_109]) ).
tcf(c_4450,plain,
gt(n0,n0),
inference(demodulation,[status(thm)],[c_77,c_4406]) ).
tcf(c_4462,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4450,c_109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV103+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 18:33:54 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 4.40/1.31 % SZS status Started for theBenchmark.p
% 4.40/1.31 % SZS status Theorem for theBenchmark.p
% 4.40/1.31
% 4.40/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.40/1.31
% 4.40/1.31 % ------ iProver source info
% 4.40/1.31
% 4.40/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 4.40/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.40/1.31 % git: non_committed_changes: false
% 4.40/1.31
% 4.40/1.31 % ------ Parsing...
% 4.40/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.40/1.31
% 4.40/1.31 % ------ Preprocessing... sup_sim: 10 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.40/1.31
% 4.40/1.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.40/1.31
% 4.40/1.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.40/1.31 % ------ Proving...
% 4.40/1.31 % ------ Problem Properties
% 4.40/1.31
% 4.40/1.31 %
% 4.40/1.31 % clauses 68
% 4.40/1.31 % conjectures 6
% 4.40/1.31 % EPR 34
% 4.40/1.31 % Horn 58
% 4.40/1.31 % unary 46
% 4.40/1.31 % binary 8
% 4.40/1.31 % lits 124
% 4.40/1.31 % lits eq 56
% 4.40/1.31 % fd_pure 0
% 4.40/1.31 % fd_pseudo 0
% 4.40/1.31 % fd_cond 6
% 4.40/1.31 % fd_pseudo_cond 3
% 4.40/1.31 % AC symbols 0
% 4.40/1.31
% 4.40/1.31 % ------ Schedule dynamic 5 is on
% 4.40/1.31
% 4.40/1.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.40/1.31
% 4.40/1.31
% 4.40/1.31 % ------
% 4.40/1.31 % Current options:
% 4.40/1.31 % ------
% 4.40/1.31
% 4.40/1.31
% 4.40/1.31 %
% 4.40/1.31
% 4.40/1.31 % ------ Proving...
% 4.40/1.31 %
% 4.40/1.31
% 4.40/1.31 % SZS status Theorem for theBenchmark.p
% 4.40/1.31
% 4.40/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.40/1.31
% 4.40/1.31
%------------------------------------------------------------------------------