%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV102+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 03:16:25 PM UTC 2026
% Result : Theorem 3.69s 1.17s
% Output : CNFRefutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 88 ( 50 unt; 0 def)
% Number of atoms : 279 ( 228 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 298 ( 107 ~; 111 |; 76 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 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 : 16 ( 16 usr; 11 con; 0-3 aty)
% Number of variables : 75 ( 0 sgn 75 !; 0 ?; 27 :)
% 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(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use )
=> ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,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
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0014) ).
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(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use )
=> ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,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
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f65,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).
fof(f69,axiom,
gt(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_1) ).
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
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,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 != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0) ) ),
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
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& ( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,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 != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0) ) ),
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(sigma_defuse,n5),
inference(cnf_transformation,[],[f88]) ).
fof(f124,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f88]) ).
fof(f125,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f88]) ).
fof(f126,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f88]) ).
fof(f127,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f88]) ).
fof(f128,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f88]) ).
fof(f129,plain,
( use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1)
| use != a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,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 != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f134,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(f135,plain,
! [X2,X0,X1] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f48]) ).
fof(f136,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f143,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f69]) ).
fof(f151,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f175,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| gt(succ(X1),X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f181,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f183,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f185,plain,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f186,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f192,plain,
n1 = plus(n1,n0),
inference(definition_unfolding,[],[f136,f186]) ).
fof(f209,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| gt(plus(n1,X1),X0) ),
inference(definition_unfolding,[],[f175,f186]) ).
fof(f214,plain,
! [X2,X0,X1,X4] :
( X0 = X1
| a_select2(X2,X1) = a_select2(tptp_update2(X2,X0,X4),X1) ),
inference(equality_resolution,[],[f134]) ).
tcf(c_49,negated_conjecture,
( ( a_select2(xinit_defuse,n5) != use )
| ( a_select2(xinit_defuse,n4) != use )
| ( a_select2(xinit_defuse,n3) != use )
| ( a_select2(sigma_defuse,n5) != use )
| ( a_select2(sigma_defuse,n4) != use )
| ( a_select2(sigma_defuse,n3) != use )
| ( a_select2(sigma_defuse,n2) != use )
| ( a_select2(sigma_defuse,n1) != use )
| ( a_select2(sigma_defuse,n0) != 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(rho_defuse,n0,use),n1,use),n2,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use ) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_50,negated_conjecture,
a_select2(sigma_defuse,n0) = use,
inference(cnf_transformation,[],[f128]) ).
tcf(c_51,negated_conjecture,
a_select2(sigma_defuse,n1) = use,
inference(cnf_transformation,[],[f127]) ).
tcf(c_52,negated_conjecture,
a_select2(sigma_defuse,n2) = use,
inference(cnf_transformation,[],[f126]) ).
tcf(c_53,negated_conjecture,
a_select2(sigma_defuse,n3) = use,
inference(cnf_transformation,[],[f125]) ).
tcf(c_54,negated_conjecture,
a_select2(sigma_defuse,n4) = use,
inference(cnf_transformation,[],[f124]) ).
tcf(c_55,negated_conjecture,
a_select2(sigma_defuse,n5) = use,
inference(cnf_transformation,[],[f123]) ).
tcf(c_56,negated_conjecture,
a_select3(u_defuse,n0,n0) = use,
inference(cnf_transformation,[],[f122]) ).
tcf(c_57,negated_conjecture,
a_select3(u_defuse,n1,n0) = use,
inference(cnf_transformation,[],[f121]) ).
tcf(c_58,negated_conjecture,
a_select3(u_defuse,n2,n0) = use,
inference(cnf_transformation,[],[f120]) ).
tcf(c_59,negated_conjecture,
a_select2(xinit_defuse,n3) = use,
inference(cnf_transformation,[],[f119]) ).
tcf(c_60,negated_conjecture,
a_select2(xinit_defuse,n4) = use,
inference(cnf_transformation,[],[f118]) ).
tcf(c_61,negated_conjecture,
a_select2(xinit_defuse,n5) = use,
inference(cnf_transformation,[],[f117]) ).
tcf(c_66,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,[],[f214]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[],[f135]) ).
tcf(c_68,plain,
plus(n1,n0) = n1,
inference(cnf_transformation,[],[f192]) ).
tcf(c_75,plain,
gt(n2,n1),
inference(cnf_transformation,[],[f143]) ).
tcf(c_83,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f151]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( gt(plus(n1,X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_113,plain,
! [X0: $i] : leq(X0,X0),
inference(cnf_transformation,[],[f181]) ).
tcf(c_115,plain,
! [X0: $i] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f183]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| gt(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_123,plain,
leq(n1,n1),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_124,plain,
~ gt(n1,n1),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_130,plain,
( gt(n1,n1)
| ( n1 = n1 ) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_147,negated_conjecture,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use ) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_61,c_60,c_59,c_55,c_54,c_53,c_52,c_51,c_50,c_58,c_57,c_56,c_49]) ).
tcf(c_355,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_147,c_67]) ).
tcf(c_707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( leq(X0,X2)
| ~ leq(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( gt(X0,X2)
| ~ gt(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1782,plain,
! [X0: $i] :
( gt(n1,X0)
| ~ leq(X0,n0) ),
inference(superposition,[status(thm)],[c_68,c_108]) ).
tcf(c_1817,plain,
( gt(n1,n1)
| ~ leq(n1,n0) ),
inference(instantiation,[status(thm)],[c_1782]) ).
tcf(c_1931,plain,
! [X0: $i,X1: $i,X2: $i] :
( leq(X0,n0)
| ~ leq(X1,X2)
| ( n0 != X2 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_707]) ).
tcf(c_1932,plain,
( leq(n1,n0)
| ~ leq(n1,n1)
| ( n1 != n1 )
| ( n0 != n1 ) ),
inference(instantiation,[status(thm)],[c_1931]) ).
tcf(c_1937,plain,
! [X0: $i,X1: $i] :
( gt(X0,X1)
| ~ gt(n2,n1)
| ( X1 != n1 )
| ( X0 != n2 ) ),
inference(instantiation,[status(thm)],[c_709]) ).
tcf(c_1938,plain,
( gt(n1,n1)
| ~ gt(n2,n1)
| ( n1 != n2 )
| ( n1 != n1 ) ),
inference(instantiation,[status(thm)],[c_1937]) ).
tcf(c_2959,plain,
( ( n0 = n2 )
| ( a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) != use )
| ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use ) ),
inference(superposition,[status(thm)],[c_66,c_355]) ).
tcf(c_3167,plain,
( ( n1 = n2 )
| ( n0 = n2 )
| ( a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n1) != use )
| ( a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) != use ) ),
inference(superposition,[status(thm)],[c_66,c_2959]) ).
tcf(c_3168,plain,
( ( n1 = n2 )
| ( n0 = n2 )
| ( a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) != use ) ),
inference(ground_joinability,[status(thm)],[c_3167,c_67]) ).
tcf(c_3172,plain,
( ( a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) != use )
| ( n0 = n2 ) ),
inference(global_subsumption_just,[status(thm)],[c_3168,c_75,c_124,c_130,c_1938,c_3168]) ).
tcf(c_3173,plain,
( ( n0 = n2 )
| ( a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) != use ) ),
inference(renaming,[status(thm)],[c_3172]) ).
tcf(c_3178,plain,
( ( n0 = n2 )
| ( n0 = n1 )
| ( a_select2(tptp_update2(rho_defuse,n0,use),n0) != use ) ),
inference(superposition,[status(thm)],[c_66,c_3173]) ).
tcf(c_3179,plain,
( ( n0 = n2 )
| ( n0 = n1 ) ),
inference(ground_joinability,[status(thm)],[c_3178,c_67]) ).
tcf(c_3182,plain,
n0 = n2,
inference(global_subsumption_just,[status(thm)],[c_3179,c_123,c_124,c_130,c_1817,c_1932,c_3179]) ).
tcf(c_3212,plain,
gt(n0,n0),
inference(demodulation,[status(thm)],[c_83,c_3182]) ).
tcf(c_3220,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3212,c_115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV102+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 18:34:09 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.39 Running first-order theorem proving
% 0.02/0.39 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
% 0.02/0.41
% 0.02/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.41
% 0.02/0.41 % Detected problem language: tptp
% 0.02/0.42 % Proving...
% 3.69/1.17 % SZS status Started for theBenchmark.p
% 3.69/1.17 % SZS status Theorem for theBenchmark.p
% 3.69/1.17
% 3.69/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.69/1.17
% 3.69/1.17 % ------ iProver source info
% 3.69/1.17
% 3.69/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 3.69/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.69/1.17 % git: non_committed_changes: false
% 3.69/1.17
% 3.69/1.17 % ------ Parsing...
% 3.69/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.69/1.17
% 3.69/1.17 % ------ Preprocessing... sup_sim: 10 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.69/1.17
% 3.69/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.69/1.17
% 3.69/1.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.69/1.17 % ------ Proving...
% 3.69/1.17 % ------ Problem Properties
% 3.69/1.17
% 3.69/1.17 %
% 3.69/1.17 % clauses 74
% 3.69/1.17 % conjectures 12
% 3.69/1.17 % EPR 34
% 3.69/1.17 % Horn 64
% 3.69/1.17 % unary 52
% 3.69/1.17 % binary 9
% 3.69/1.17 % lits 127
% 3.69/1.17 % lits eq 59
% 3.69/1.17 % fd_pure 0
% 3.69/1.17 % fd_pseudo 0
% 3.69/1.17 % fd_cond 6
% 3.69/1.17 % fd_pseudo_cond 3
% 3.69/1.17 % AC symbols 0
% 3.69/1.17
% 3.69/1.17 % ------ Schedule dynamic 5 is on
% 3.69/1.17
% 3.69/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.69/1.17
% 3.69/1.17
% 3.69/1.17 % ------
% 3.69/1.17 % Current options:
% 3.69/1.17 % ------
% 3.69/1.17
% 3.69/1.17
% 3.69/1.17 %
% 3.69/1.17
% 3.69/1.17 % ------ Proving...
% 3.69/1.17 %
% 3.69/1.17
% 3.69/1.17 % SZS status Theorem for theBenchmark.p
% 3.69/1.17
% 3.69/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.69/1.17
%------------------------------------------------------------------------------