%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV403+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.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 03:17:33 PM UTC 2026
% Result : Theorem 2.30s 1.77s
% Output : CNFRefutation 2.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 6
% Syntax : Number of formulae : 84 ( 21 unt; 0 def)
% Number of atoms : 212 ( 56 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 210 ( 82 ~; 90 |; 28 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 225 ( 0 sgn 207 !; 18 ?; 94 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',totality) ).
fof(f4,axiom,
! [X0,X1] :
( strictly_less_than(X0,X1)
<=> ( ~ less_than(X1,X0)
& less_than(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).
fof(f11,axiom,
! [X0,X1,X2,X3,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
<=> ( ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax23) ).
fof(f17,axiom,
! [X0,X1,X2,X3] :
( strictly_less_than(X3,X2)
=> update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax29) ).
fof(f18,axiom,
! [X0,X1,X2,X3] :
( less_than(X2,X3)
=> update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax30) ).
fof(f19,conjecture,
! [X0] :
( ! [X1,X2,X3] :
( ( strictly_less_than(X2,X3)
& pair_in_list(X0,X1,X2) )
=> pair_in_list(update_slb(X0,X3),X1,X3) )
=> ! [X4,X5,X6,X7,X8] :
( ( strictly_less_than(X5,X6)
& pair_in_list(insert_slb(X0,pair(X7,X8)),X4,X5) )
=> pair_in_list(update_slb(insert_slb(X0,pair(X7,X8)),X6),X4,X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l39_co) ).
fof(f20,negated_conjecture,
~ ! [X0] :
( ! [X1,X2,X3] :
( ( strictly_less_than(X2,X3)
& pair_in_list(X0,X1,X2) )
=> pair_in_list(update_slb(X0,X3),X1,X3) )
=> ! [X4,X5,X6,X7,X8] :
( ( strictly_less_than(X5,X6)
& pair_in_list(insert_slb(X0,pair(X7,X8)),X4,X5) )
=> pair_in_list(update_slb(insert_slb(X0,pair(X7,X8)),X6),X4,X6) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
? [X0] :
( ! [X1,X2,X3] :
( ~ strictly_less_than(X2,X3)
| ~ pair_in_list(X0,X1,X2)
| pair_in_list(update_slb(X0,X3),X1,X3) )
& ? [X4,X5,X6,X7,X8] :
( strictly_less_than(X5,X6)
& pair_in_list(insert_slb(X0,pair(X7,X8)),X4,X5)
& ~ pair_in_list(update_slb(insert_slb(X0,pair(X7,X8)),X6),X4,X6) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f22,plain,
? [X0] :
( ! [X1,X2,X3] :
( ~ strictly_less_than(X2,X3)
| ~ pair_in_list(X0,X1,X2)
| pair_in_list(update_slb(X0,X3),X1,X3) )
& ? [X4,X5,X6,X7,X8] :
( strictly_less_than(X5,X6)
& pair_in_list(insert_slb(X0,pair(X7,X8)),X4,X5)
& ~ pair_in_list(update_slb(insert_slb(X0,pair(X7,X8)),X6),X4,X6) ) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( ~ strictly_less_than(X3,X2)
| update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( ~ less_than(X2,X3)
| update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f27,plain,
? [X0] :
( ! [X6,X7,X8] :
( ~ strictly_less_than(X7,X8)
| ~ pair_in_list(X0,X6,X7)
| pair_in_list(update_slb(X0,X8),X6,X8) )
& ? [X1,X2,X3,X4,X5] :
( strictly_less_than(X2,X3)
& pair_in_list(insert_slb(X0,pair(X4,X5)),X1,X2)
& ~ pair_in_list(update_slb(insert_slb(X0,pair(X4,X5)),X3),X1,X3) ) ),
inference(rectify,[],[f22]) ).
fof(f28,plain,
( ! [X6,X7,X8] :
( ~ strictly_less_than(X7,X8)
| ~ pair_in_list(sK0,X6,X7)
| pair_in_list(update_slb(sK0,X8),X6,X8) )
& strictly_less_than(sK2,sK3)
& pair_in_list(insert_slb(sK0,pair(sK4,sK5)),sK1,sK2)
& ~ pair_in_list(update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3),sK1,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ( ~ strictly_less_than(X0,X1)
| ( ~ less_than(X1,X0)
& less_than(X0,X1) ) )
& ( less_than(X1,X0)
| ~ less_than(X0,X1)
| strictly_less_than(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f30,plain,
! [X0,X1] :
( ( ~ strictly_less_than(X0,X1)
| ( ~ less_than(X1,X0)
& less_than(X0,X1) ) )
& ( less_than(X1,X0)
| ~ less_than(X0,X1)
| strictly_less_than(X0,X1) ) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4) )
& ( ( ( X3 != X4
| X1 != X2 )
& ~ pair_in_list(X0,X2,X4) )
| pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f32,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4) )
& ( ( ( X3 != X4
| X1 != X2 )
& ~ pair_in_list(X0,X2,X4) )
| pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ) ),
inference(flattening,[],[f31]) ).
fof(f35,plain,
! [X8,X6,X7] :
( ~ strictly_less_than(X7,X8)
| ~ pair_in_list(sK0,X6,X7)
| pair_in_list(update_slb(sK0,X8),X6,X8) ),
inference(cnf_transformation,[],[f28]) ).
fof(f36,plain,
strictly_less_than(sK2,sK3),
inference(cnf_transformation,[],[f28]) ).
fof(f37,plain,
pair_in_list(insert_slb(sK0,pair(sK4,sK5)),sK1,sK2),
inference(cnf_transformation,[],[f28]) ).
fof(f38,plain,
~ pair_in_list(update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3),sK1,sK3),
inference(cnf_transformation,[],[f28]) ).
fof(f39,plain,
! [X2,X3,X0,X1] :
( ~ strictly_less_than(X3,X2)
| update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f40,plain,
! [X0,X1] :
( ~ strictly_less_than(X0,X1)
| ~ less_than(X1,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f42,plain,
! [X0,X1] :
( less_than(X1,X0)
| ~ less_than(X0,X1)
| strictly_less_than(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f43,plain,
! [X2,X3,X0,X1,X4] :
( ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| X3 = X4
| pair_in_list(X0,X2,X4) ),
inference(cnf_transformation,[],[f32]) ).
fof(f44,plain,
! [X2,X3,X0,X1,X4] :
( ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| X1 = X2
| pair_in_list(X0,X2,X4) ),
inference(cnf_transformation,[],[f32]) ).
fof(f45,plain,
! [X2,X3,X0,X1,X4] :
( X3 != X4
| X1 != X2
| pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ),
inference(cnf_transformation,[],[f32]) ).
fof(f46,plain,
! [X2,X3,X0,X1,X4] :
( ~ pair_in_list(X0,X2,X4)
| pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ),
inference(cnf_transformation,[],[f32]) ).
fof(f48,plain,
! [X2,X3,X0,X1] :
( ~ less_than(X2,X3)
| update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f51,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f57,plain,
! [X2,X3,X0,X4] :
( X3 != X4
| pair_in_list(insert_slb(X0,pair(X2,X3)),X2,X4) ),
inference(equality_resolution,[],[f45]) ).
fof(f58,plain,
! [X2,X0,X4] : pair_in_list(insert_slb(X0,pair(X2,X4)),X2,X4),
inference(equality_resolution,[],[f57]) ).
tcf(c_49,negated_conjecture,
~ pair_in_list(update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3),sK1,sK3),
inference(cnf_transformation,[],[f38]) ).
tcf(c_50,negated_conjecture,
pair_in_list(insert_slb(sK0,pair(sK4,sK5)),sK1,sK2),
inference(cnf_transformation,[],[f37]) ).
tcf(c_51,negated_conjecture,
strictly_less_than(sK2,sK3),
inference(cnf_transformation,[],[f36]) ).
tcf(c_52,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( pair_in_list(update_slb(sK0,X2),X0,X2)
| ~ strictly_less_than(X1,X2)
| ~ pair_in_list(sK0,X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( insert_slb(update_slb(X2,X1),pair(X3,X1)) = update_slb(insert_slb(X2,pair(X3,X0)),X1) )
| ~ strictly_less_than(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( less_than(X1,X0)
| strictly_less_than(X0,X1)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( ~ less_than(X1,X0)
| ~ strictly_less_than(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( pair_in_list(insert_slb(X0,pair(X3,X4)),X1,X2)
| ~ pair_in_list(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] : pair_in_list(insert_slb(X0,pair(X1,X2)),X1,X2),
inference(cnf_transformation,[],[f58]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( pair_in_list(X0,X3,X4)
| ( X1 = X3 )
| ~ pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( pair_in_list(X0,X3,X4)
| ( X2 = X4 )
| ~ pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( insert_slb(update_slb(X2,X0),pair(X3,X1)) = update_slb(insert_slb(X2,pair(X3,X1)),X0) )
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( less_than(X1,X0)
| strictly_less_than(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_54,c_65,c_54]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( ~ strictly_less_than(X0,X1)
| ~ less_than(X1,X0) ),
inference(prop_impl_just,[status(thm)],[c_56]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( ~ less_than(X1,X0)
| ~ strictly_less_than(X0,X1) ),
inference(renaming,[status(thm)],[c_85]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( strictly_less_than(X0,X1)
| less_than(X1,X0) ),
inference(prop_impl_just,[status(thm)],[c_83]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( less_than(X1,X0)
| strictly_less_than(X0,X1) ),
inference(renaming,[status(thm)],[c_87]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( insert_slb(update_slb(X2,X1),pair(X3,X1)) = update_slb(insert_slb(X2,pair(X3,X0)),X1) )
| less_than(X1,X0) ),
inference(prop_impl_just,[status(thm)],[c_53,c_83]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( less_than(X1,X3)
| ( insert_slb(update_slb(X0,X1),pair(X2,X1)) = update_slb(insert_slb(X0,pair(X2,X3)),X1) ) ),
inference(renaming,[status(thm)],[c_93]) ).
tcf(c_287,plain,
! [X0: $i,X1: $i,X2: $i] :
( pair_in_list(update_slb(sK0,X0),X2,X0)
| ~ pair_in_list(sK0,X2,X1)
| ( X1 != sK2 )
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_52]) ).
tcf(c_288,plain,
! [X0: $i] :
( pair_in_list(update_slb(sK0,sK3),X0,sK3)
| ~ pair_in_list(sK0,X0,sK2) ),
inference(unflattening,[status(thm)],[c_287]) ).
tcf(c_296,plain,
! [X0: $i,X1: $i] :
( ~ less_than(X0,X1)
| ( X1 != sK2 )
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_86]) ).
tcf(c_297,plain,
~ less_than(sK3,sK2),
inference(unflattening,[status(thm)],[c_296]) ).
tcf(c_301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( less_than(X3,X1)
| pair_in_list(update_slb(sK0,X2),X4,X2)
| ~ pair_in_list(sK0,X4,X0)
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_88]) ).
tcf(c_302,plain,
! [X0: $i,X1: $i,X2: $i] :
( less_than(X2,X1)
| pair_in_list(update_slb(sK0,X2),X0,X2)
| ~ pair_in_list(sK0,X0,X1) ),
inference(unflattening,[status(thm)],[c_301]) ).
tcf(c_1027,plain,
( pair_in_list(sK0,sK1,sK2)
| ( sK4 = sK1 ) ),
inference(superposition,[status(thm)],[c_50,c_59]) ).
tcf(c_1041,plain,
( pair_in_list(sK0,sK1,sK2)
| ( sK5 = sK2 ) ),
inference(superposition,[status(thm)],[c_50,c_60]) ).
tcf(c_1055,plain,
! [X0: $i] :
( less_than(X0,sK2)
| pair_in_list(update_slb(sK0,X0),sK1,X0)
| ( sK4 = sK1 ) ),
inference(superposition,[status(thm)],[c_1027,c_302]) ).
tcf(c_2982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( insert_slb(update_slb(X4,X1),pair(X5,X3)) = update_slb(insert_slb(X4,pair(X5,X3)),X1) )
| ( insert_slb(update_slb(X0,X1),pair(X2,X1)) = update_slb(insert_slb(X0,pair(X2,X3)),X1) ) ),
inference(superposition,[status(thm)],[c_94,c_62]) ).
tcf(c_2988,plain,
! [X0: $i,X1: $i] : insert_slb(update_slb(X0,sK3),pair(X1,sK3)) = update_slb(insert_slb(X0,pair(X1,sK2)),sK3),
inference(superposition,[status(thm)],[c_94,c_297]) ).
tcf(c_6829,plain,
! [X0: $i,X1: $i] :
( ( insert_slb(update_slb(X0,sK3),pair(X1,sK3)) = update_slb(insert_slb(X0,pair(X1,sK5)),sK3) )
| ~ pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK5)),sK1,sK3) ),
inference(superposition,[status(thm)],[c_2982,c_49]) ).
tcf(c_6848,plain,
! [X0: $i,X1: $i] :
( ( insert_slb(update_slb(X0,sK3),pair(X1,sK5)) = update_slb(insert_slb(X0,pair(X1,sK5)),sK3) )
| ~ pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK3)),sK1,sK3) ),
inference(superposition,[status(thm)],[c_2982,c_49]) ).
tcf(c_9057,plain,
! [X0: $i,X1: $i] :
( ( insert_slb(update_slb(X0,sK3),pair(X1,sK3)) = update_slb(insert_slb(X0,pair(X1,sK5)),sK3) )
| ~ pair_in_list(update_slb(sK0,sK3),sK1,sK3) ),
inference(superposition,[status(thm)],[c_57,c_6829]) ).
tcf(c_9075,plain,
! [X0: $i,X1: $i] :
( less_than(sK3,sK2)
| ( sK4 = sK1 )
| ( insert_slb(update_slb(X0,sK3),pair(X1,sK3)) = update_slb(insert_slb(X0,pair(X1,sK5)),sK3) ) ),
inference(superposition,[status(thm)],[c_1055,c_9057]) ).
tcf(c_9078,plain,
! [X0: $i,X1: $i] :
( ( sK4 = sK1 )
| ( insert_slb(update_slb(X0,sK3),pair(X1,sK3)) = update_slb(insert_slb(X0,pair(X1,sK5)),sK3) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9075,c_297]) ).
tcf(c_9106,plain,
( ( sK4 = sK1 )
| ~ pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK3)),sK1,sK3) ),
inference(superposition,[status(thm)],[c_9078,c_49]) ).
tcf(c_9117,plain,
( ( sK4 = sK1 )
| ~ pair_in_list(update_slb(sK0,sK3),sK1,sK3) ),
inference(superposition,[status(thm)],[c_57,c_9106]) ).
tcf(c_9126,plain,
( less_than(sK3,sK2)
| ( sK4 = sK1 ) ),
inference(superposition,[status(thm)],[c_1055,c_9117]) ).
tcf(c_9127,plain,
sK4 = sK1,
inference(forward_subsumption_resolution,[status(thm)],[c_9126,c_297]) ).
tcf(c_9129,plain,
! [X0: $i,X1: $i] :
( ( insert_slb(update_slb(X0,sK3),pair(X1,sK5)) = update_slb(insert_slb(X0,pair(X1,sK5)),sK3) )
| ~ pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK3)),sK4,sK3) ),
inference(demodulation,[status(thm)],[c_6848,c_9127]) ).
tcf(c_9135,plain,
( pair_in_list(sK0,sK4,sK2)
| ( sK5 = sK2 ) ),
inference(demodulation,[status(thm)],[c_1041,c_9127]) ).
tcf(c_9136,plain,
~ pair_in_list(update_slb(insert_slb(sK0,pair(sK4,sK5)),sK3),sK4,sK3),
inference(demodulation,[status(thm)],[c_49,c_9127]) ).
tcf(c_9146,plain,
! [X0: $i,X1: $i] : insert_slb(update_slb(X0,sK3),pair(X1,sK5)) = update_slb(insert_slb(X0,pair(X1,sK5)),sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_9129,c_58]) ).
tcf(c_9156,plain,
~ pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK5)),sK4,sK3),
inference(demodulation,[status(thm)],[c_9136,c_9146]) ).
tcf(c_9157,plain,
~ pair_in_list(update_slb(sK0,sK3),sK4,sK3),
inference(superposition,[status(thm)],[c_57,c_9156]) ).
tcf(c_9158,plain,
~ pair_in_list(sK0,sK4,sK2),
inference(superposition,[status(thm)],[c_288,c_9157]) ).
tcf(c_10302,plain,
sK5 = sK2,
inference(global_subsumption_just,[status(thm)],[c_9135,c_9135,c_9158]) ).
tcf(c_10322,plain,
! [X0: $i,X1: $i] : insert_slb(update_slb(X0,sK3),pair(X1,sK3)) = update_slb(insert_slb(X0,pair(X1,sK5)),sK3),
inference(demodulation,[status(thm)],[c_2988,c_10302]) ).
tcf(c_18235,plain,
! [X0: $i,X1: $i] : insert_slb(update_slb(X0,sK3),pair(X1,sK5)) = insert_slb(update_slb(X0,sK3),pair(X1,sK3)),
inference(light_normalisation,[status(thm)],[c_9146,c_10322]) ).
tcf(c_18236,plain,
~ pair_in_list(insert_slb(update_slb(sK0,sK3),pair(sK4,sK3)),sK4,sK3),
inference(demodulation,[status(thm)],[c_9156,c_18235]) ).
tcf(c_18237,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_18236,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV403+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 19:28:56 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.42
% 0.14/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.42
% 0.14/0.43 % Detected problem language: tptp
% 0.14/0.44 % Proving...
% 2.30/1.77 % SZS status Started for theBenchmark.p
% 2.30/1.77 % SZS status Theorem for theBenchmark.p
% 2.30/1.77
% 2.30/1.77 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.30/1.77
% 2.30/1.77 % ------ iProver source info
% 2.30/1.77
% 2.30/1.77 % git: date: 2026-07-19 20:42:38 +0200
% 2.30/1.77 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.30/1.77 % git: non_committed_changes: false
% 2.30/1.77
% 2.30/1.77 % ------ Parsing...
% 2.30/1.77 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.30/1.77
% 2.30/1.77 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 2.30/1.77
% 2.30/1.77 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.30/1.77
% 2.30/1.77 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.30/1.77 % ------ Proving...
% 2.30/1.77 % ------ Problem Properties
% 2.30/1.77
% 2.30/1.77 %
% 2.30/1.77 % clauses 20
% 2.30/1.77 % conjectures 2
% 2.30/1.77 % EPR 6
% 2.30/1.77 % Horn 14
% 2.30/1.77 % unary 9
% 2.30/1.77 % binary 6
% 2.30/1.77 % lits 36
% 2.30/1.77 % lits eq 6
% 2.30/1.77 % fd_pure 0
% 2.30/1.77 % fd_pseudo 0
% 2.30/1.77 % fd_cond 0
% 2.30/1.77 % fd_pseudo_cond 3
% 2.30/1.77 % AC symbols 0
% 2.30/1.77
% 2.30/1.77 % ------ Schedule dynamic 5 is on
% 2.30/1.77
% 2.30/1.77 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.30/1.77
% 2.30/1.77
% 2.30/1.77 % ------
% 2.30/1.77 % Current options:
% 2.30/1.77 % ------
% 2.30/1.77
% 2.30/1.77
% 2.30/1.77 %
% 2.30/1.77
% 2.30/1.77 % ------ Proving...
% 2.30/1.77 %
% 2.30/1.77
% 2.30/1.77 % SZS status Theorem for theBenchmark.p
% 2.30/1.77
% 2.30/1.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.30/1.77
% 2.30/1.77
%------------------------------------------------------------------------------