%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEV541+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 03:02:31 PM UTC 2026
% Result : Theorem 18.63s 3.32s
% Output : CNFRefutation 18.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 24
% Syntax : Number of formulae : 218 ( 60 unt; 8 def)
% Number of atoms : 852 ( 92 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 484 ( 200 ~; 248 |; 22 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 9 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 217 ( 0 sgn 209 !; 8 ?; 119 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',subq_def) ).
fof(f2,axiom,
! [X0,X1] :
( subq(X0,X1)
=> ( subq(X1,X0)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',setext) ).
fof(f4,axiom,
! [X0] : ~ mem(X0,e),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',e_ax) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',s_ax) ).
fof(f6,axiom,
! [X0,X1,X2] :
( mem(X0,u(X1,X2))
<=> ( mem(X0,X2)
| mem(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',u_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',n_def) ).
fof(f10,axiom,
! [X0,X1] :
( mem(X0,p(X1))
<=> subq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',p_ax) ).
fof(f11,axiom,
! [X0] :
( atleast2p(X0)
<=> ? [X1] :
( ~ subq(X0,p(X1))
& mem(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',atleast2p_def) ).
fof(f12,axiom,
! [X0] :
( atleast3p(X0)
<=> ? [X1] :
( ~ subq(X0,X1)
& atleast2p(X1)
& subq(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',atleast3p_def) ).
fof(f13,axiom,
! [X0] :
( atleast4p(X0)
<=> ? [X1] :
( ~ subq(X0,X1)
& atleast3p(X1)
& subq(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',atleast4p_def) ).
fof(f26,conjecture,
atleast4p(u(n(e),n(n(s(n(e)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',atleast4_71) ).
fof(f27,negated_conjecture,
~ atleast4p(u(n(e),n(n(s(n(e)))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
~ atleast4p(u(n(e),n(n(s(n(e)))))),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( ~ subq(X0,X1)
& atleast3p(X1)
& subq(X1,X0) )
=> atleast4p(X0) ),
inference(unused_predicate_definition_removal,[],[f13]) ).
fof(f30,plain,
! [X0] :
( ? [X1] :
( ~ subq(X0,X1)
& atleast2p(X1)
& subq(X1,X0) )
=> atleast3p(X0) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f31,plain,
! [X0] :
( ? [X1] :
( ~ subq(X0,p(X1))
& mem(X1,X0) )
=> atleast2p(X0) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f32,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( ~ mem(X2,X0)
| mem(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f33,plain,
! [X0,X1] :
( ~ subq(X0,X1)
| ~ subq(X1,X0)
| X0 = X1 ),
inference(ennf_transformation,[],[f2]) ).
fof(f34,plain,
! [X0,X1] :
( ~ subq(X0,X1)
| ~ subq(X1,X0)
| X0 = X1 ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0] :
( ! [X1] :
( subq(X0,p(X1))
| ~ mem(X1,X0) )
| atleast2p(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( subq(X0,X1)
| ~ atleast2p(X1)
| ~ subq(X1,X0) )
| atleast3p(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( subq(X0,X1)
| ~ atleast3p(X1)
| ~ subq(X1,X0) )
| atleast4p(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f38,plain,
! [X0,X1] :
( ( ~ subq(X0,X1)
| ! [X2] :
( ~ mem(X2,X0)
| mem(X2,X1) ) )
& ( ? [X2] :
( mem(X2,X0)
& ~ mem(X2,X1) )
| subq(X0,X1) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f39,plain,
! [X0,X1] :
( ( ~ subq(X0,X1)
| ! [X3] :
( ~ mem(X3,X0)
| mem(X3,X1) ) )
& ( ? [X2] :
( mem(X2,X0)
& ~ mem(X2,X1) )
| subq(X0,X1) ) ),
inference(rectify,[],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( ( ~ subq(X0,X1)
| ! [X3] :
( ~ mem(X3,X0)
| mem(X3,X1) ) )
& ( ( mem(sK0(X0,X1),X0)
& ~ mem(sK0(X0,X1),X1) )
| subq(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ( ~ mem(X0,s(X1))
| X0 = X1 )
& ( X0 != X1
| mem(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) )
& ( ( ~ mem(X0,X2)
& ~ mem(X0,X1) )
| mem(X0,u(X1,X2)) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) )
& ( ( ~ mem(X0,X2)
& ~ mem(X0,X1) )
| mem(X0,u(X1,X2)) ) ),
inference(flattening,[],[f42]) ).
fof(f46,plain,
! [X0,X1] :
( ( ~ mem(X0,p(X1))
| subq(X0,X1) )
& ( ~ subq(X0,X1)
| mem(X0,p(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f47,plain,
! [X3,X0,X1] :
( ~ subq(X0,X1)
| ~ mem(X3,X0)
| mem(X3,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f48,plain,
! [X0,X1] :
( mem(sK0(X0,X1),X0)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f49,plain,
! [X0,X1] :
( ~ mem(sK0(X0,X1),X1)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f50,plain,
! [X0,X1] :
( ~ subq(X0,X1)
| ~ subq(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f34]) ).
fof(f51,plain,
! [X0] : ~ mem(X0,e),
inference(cnf_transformation,[],[f4]) ).
fof(f52,plain,
! [X0,X1] :
( ~ mem(X0,s(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f41]) ).
fof(f53,plain,
! [X0,X1] :
( X0 != X1
| mem(X0,s(X1)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ mem(X0,X2)
| mem(X0,u(X1,X2)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ mem(X0,X1)
| mem(X0,u(X1,X2)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f60,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f61,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f62,plain,
! [X0,X1] :
( ~ mem(X0,p(X1))
| subq(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f64,plain,
! [X0,X1] :
( subq(X0,p(X1))
| ~ mem(X1,X0)
| atleast2p(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f65,plain,
! [X0,X1] :
( subq(X0,X1)
| ~ atleast2p(X1)
| ~ subq(X1,X0)
| atleast3p(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f66,plain,
! [X0,X1] :
( subq(X0,X1)
| ~ atleast3p(X1)
| ~ subq(X1,X0)
| atleast4p(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f67,plain,
~ atleast4p(u(n(e),n(n(s(n(e)))))),
inference(cnf_transformation,[],[f28]) ).
fof(f68,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f61,f60]) ).
fof(f69,plain,
~ atleast4p(u(u(e,s(e)),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))))),
inference(definition_unfolding,[],[f67,f68,f68,f68,f68]) ).
fof(f70,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f53]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ~ mem(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ~ mem(X2,X0)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_53,plain,
! [X0: $i] : ~ mem(X0,e),
inference(cnf_transformation,[],[f51]) ).
tcf(c_54,plain,
! [X0: $i] : mem(X0,s(X0)),
inference(cnf_transformation,[],[f70]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ mem(X0,s(X1)) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X2,X1))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| mem(X0,X1)
| ~ mem(X0,u(X1,X2)) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ~ mem(X0,p(X1)) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( atleast2p(X1)
| subq(X1,p(X0))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( atleast3p(X1)
| subq(X1,X0)
| ~ atleast2p(X0)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( atleast4p(X1)
| subq(X1,X0)
| ~ atleast3p(X0)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_67,negated_conjecture,
~ atleast4p(u(u(e,s(e)),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))))),
inference(cnf_transformation,[],[f69]) ).
tcf(c_68,plain,
mem(e,s(e)),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_69,plain,
~ mem(e,e),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_74,plain,
( ( e = e )
| ~ mem(e,s(e)) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_318,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ~ atleast3p(X1)
| ~ subq(X1,X0)
| ( u(u(e,s(e)),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_66,c_67]) ).
tcf(c_319,plain,
! [X0: $i] :
( subq(u(u(e,s(e)),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e)))))))),X0)
| ~ atleast3p(X0)
| ~ subq(X0,u(u(e,s(e)),u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))))) ),
inference(unflattening,[status(thm)],[c_318]) ).
tcf(c_654,definition,
iPr_def_10 = s(e),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_655,definition,
iPr_def_11 = u(e,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_656,definition,
iPr_def_12 = s(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_657,definition,
iPr_def_13 = s(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_658,definition,
iPr_def_14 = u(iPr_def_12,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_659,definition,
iPr_def_15 = s(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_660,definition,
iPr_def_16 = u(iPr_def_14,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_661,definition,
iPr_def_17 = u(iPr_def_11,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_662,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ~ atleast3p(X0)
| ~ subq(X0,iPr_def_17) ),
inference(demodulation,[status(thm)],[c_319,c_659,c_657,c_656,c_658,c_660,c_654,c_655,c_661]) ).
tcf(c_663,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_665,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subq(X0,X2)
| ~ subq(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X2)
| ~ mem(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1121,plain,
mem(e,iPr_def_10),
inference(superposition,[status(thm)],[c_654,c_54]) ).
tcf(c_1122,plain,
mem(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_656,c_54]) ).
tcf(c_1123,plain,
mem(iPr_def_12,iPr_def_13),
inference(superposition,[status(thm)],[c_657,c_54]) ).
tcf(c_1124,plain,
mem(iPr_def_14,iPr_def_15),
inference(superposition,[status(thm)],[c_659,c_54]) ).
tcf(c_1129,plain,
! [X0: $i] : subq(e,X0),
inference(superposition,[status(thm)],[c_50,c_53]) ).
tcf(c_1130,plain,
subq(e,e),
inference(instantiation,[status(thm)],[c_1129]) ).
tcf(c_1165,plain,
! [X0: $i,X1: $i] :
( subq(s(X0),X1)
| ( sK0(s(X0),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_50,c_55]) ).
tcf(c_1167,plain,
! [X0: $i] :
( ( X0 = e )
| ~ mem(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_654,c_55]) ).
tcf(c_1168,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ mem(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_656,c_55]) ).
tcf(c_1169,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ mem(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_657,c_55]) ).
tcf(c_1170,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ mem(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_659,c_55]) ).
tcf(c_1182,plain,
( ( e = iPr_def_12 )
| ~ mem(e,iPr_def_13) ),
inference(instantiation,[status(thm)],[c_1169]) ).
tcf(c_1189,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = e ) ),
inference(superposition,[status(thm)],[c_50,c_1167]) ).
tcf(c_1231,plain,
! [X0: $i] :
( mem(X0,iPr_def_14)
| ~ mem(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_658,c_56]) ).
tcf(c_1232,plain,
! [X0: $i] :
( mem(X0,iPr_def_16)
| ~ mem(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_660,c_56]) ).
tcf(c_1233,plain,
! [X0: $i] :
( mem(X0,iPr_def_17)
| ~ mem(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_661,c_56]) ).
tcf(c_1251,plain,
! [X0: $i] :
( mem(X0,iPr_def_11)
| ~ mem(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_655,c_57]) ).
tcf(c_1252,plain,
! [X0: $i] :
( mem(X0,iPr_def_14)
| ~ mem(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_658,c_57]) ).
tcf(c_1253,plain,
! [X0: $i] :
( mem(X0,iPr_def_16)
| ~ mem(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_660,c_57]) ).
tcf(c_1254,plain,
! [X0: $i] :
( mem(X0,iPr_def_17)
| ~ mem(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_661,c_57]) ).
tcf(c_1294,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_14) ),
inference(superposition,[status(thm)],[c_50,c_1231]) ).
tcf(c_1295,plain,
mem(iPr_def_11,iPr_def_14),
inference(superposition,[status(thm)],[c_1122,c_1231]) ).
tcf(c_1307,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_16) ),
inference(superposition,[status(thm)],[c_50,c_1232]) ).
tcf(c_1382,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_1251]) ).
tcf(c_1383,plain,
mem(e,iPr_def_11),
inference(superposition,[status(thm)],[c_1121,c_1251]) ).
tcf(c_1391,plain,
mem(e,iPr_def_17),
inference(superposition,[status(thm)],[c_1383,c_1233]) ).
tcf(c_1410,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ~ subq(s(X0),X1) ),
inference(superposition,[status(thm)],[c_54,c_51]) ).
tcf(c_1414,plain,
! [X0: $i] :
( mem(e,X0)
| ~ subq(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_1121,c_51]) ).
tcf(c_1415,plain,
! [X0: $i] :
( mem(iPr_def_11,X0)
| ~ subq(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_1122,c_51]) ).
tcf(c_1419,plain,
! [X0: $i] :
( mem(iPr_def_11,X0)
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_1295,c_51]) ).
tcf(c_1450,plain,
( mem(iPr_def_11,e)
| ~ subq(iPr_def_14,e) ),
inference(instantiation,[status(thm)],[c_1419]) ).
tcf(c_1561,plain,
! [X0: $i] :
( mem(X0,iPr_def_10)
| mem(X0,e)
| ~ mem(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_655,c_58]) ).
tcf(c_1562,plain,
! [X0: $i] :
( mem(X0,iPr_def_13)
| mem(X0,iPr_def_12)
| ~ mem(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_658,c_58]) ).
tcf(c_1563,plain,
! [X0: $i] :
( mem(X0,iPr_def_15)
| mem(X0,iPr_def_14)
| ~ mem(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_660,c_58]) ).
tcf(c_1574,plain,
! [X0: $i] :
( mem(X0,iPr_def_10)
| ~ mem(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1561,c_53]) ).
tcf(c_1581,plain,
( mem(e,iPr_def_13)
| mem(e,iPr_def_12)
| ~ mem(e,iPr_def_14) ),
inference(instantiation,[status(thm)],[c_1562]) ).
tcf(c_1583,plain,
! [X0: $i] :
( mem(e,X0)
| ~ subq(iPr_def_17,X0) ),
inference(superposition,[status(thm)],[c_1391,c_51]) ).
tcf(c_1591,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_14) ),
inference(superposition,[status(thm)],[c_50,c_1252]) ).
tcf(c_1592,plain,
mem(iPr_def_12,iPr_def_14),
inference(superposition,[status(thm)],[c_1123,c_1252]) ).
tcf(c_1596,plain,
! [X0: $i] :
( mem(iPr_def_12,X0)
| ~ subq(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_1592,c_51]) ).
tcf(c_1763,plain,
mem(iPr_def_14,iPr_def_16),
inference(superposition,[status(thm)],[c_1124,c_1253]) ).
tcf(c_1771,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| mem(sK0(iPr_def_16,X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_50,c_1254]) ).
tcf(c_1777,plain,
! [X0: $i] :
( mem(iPr_def_14,X0)
| ~ subq(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_1763,c_51]) ).
tcf(c_1814,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,X0) = e ) ),
inference(superposition,[status(thm)],[c_1189,c_1414]) ).
tcf(c_1951,plain,
! [X0: $i] :
( subq(iPr_def_11,X0)
| mem(sK0(iPr_def_11,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_50,c_1574]) ).
tcf(c_1995,plain,
! [X0: $i] :
( atleast2p(iPr_def_14)
| mem(iPr_def_12,p(X0))
| ~ mem(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_64,c_1596]) ).
tcf(c_2491,plain,
subq(iPr_def_12,iPr_def_14),
inference(superposition,[status(thm)],[c_1294,c_49]) ).
tcf(c_2493,plain,
! [X0: $i] :
( subq(iPr_def_12,X0)
| mem(sK0(iPr_def_12,X0),iPr_def_16) ),
inference(superposition,[status(thm)],[c_1294,c_1232]) ).
tcf(c_2501,plain,
( atleast3p(iPr_def_14)
| subq(iPr_def_14,iPr_def_12)
| ~ atleast2p(iPr_def_12) ),
inference(superposition,[status(thm)],[c_2491,c_65]) ).
tcf(c_2502,plain,
( ( iPr_def_12 = iPr_def_14 )
| ~ subq(iPr_def_14,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2491,c_52]) ).
tcf(c_2522,plain,
subq(iPr_def_14,iPr_def_16),
inference(superposition,[status(thm)],[c_1307,c_49]) ).
tcf(c_2523,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_14,X1)
| mem(sK0(iPr_def_14,X1),X0)
| ~ subq(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_1307,c_51]) ).
tcf(c_2524,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| mem(sK0(iPr_def_14,X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_1307,c_1254]) ).
tcf(c_2532,plain,
( atleast3p(iPr_def_16)
| subq(iPr_def_16,iPr_def_14)
| ~ atleast2p(iPr_def_14) ),
inference(superposition,[status(thm)],[c_2522,c_65]) ).
tcf(c_2595,plain,
! [X0: $i,X1: $i] :
( mem(X1,X0)
| ~ mem(X1,iPr_def_10)
| ~ subq(iPr_def_10,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_2607,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ~ mem(X1,iPr_def_10)
| ( X2 != iPr_def_10 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_667]) ).
tcf(c_2608,plain,
( mem(e,e)
| ~ mem(e,iPr_def_10)
| ( e != iPr_def_10 )
| ( e != e ) ),
inference(instantiation,[status(thm)],[c_2607]) ).
tcf(c_2736,plain,
iPr_def_11 = iPr_def_11,
inference(instantiation,[status(thm)],[c_663]) ).
tcf(c_2824,plain,
subq(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_1382,c_49]) ).
tcf(c_2871,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ( sK0(s(X0),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_1165,c_1410]) ).
tcf(c_3127,plain,
! [X0: $i] :
( subq(iPr_def_13,X0)
| mem(sK0(iPr_def_13,X0),iPr_def_16) ),
inference(superposition,[status(thm)],[c_1591,c_1232]) ).
tcf(c_3426,plain,
subq(iPr_def_16,iPr_def_17),
inference(superposition,[status(thm)],[c_1771,c_49]) ).
tcf(c_3427,plain,
! [X0: $i,X1: $i] :
( subq(iPr_def_16,X1)
| mem(sK0(iPr_def_16,X1),X0)
| ~ subq(iPr_def_17,X0) ),
inference(superposition,[status(thm)],[c_1771,c_51]) ).
tcf(c_3491,plain,
( subq(iPr_def_17,iPr_def_16)
| ~ atleast3p(iPr_def_16) ),
inference(superposition,[status(thm)],[c_3426,c_662]) ).
tcf(c_3506,plain,
subq(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_1951,c_49]) ).
tcf(c_3537,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ subq(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_3506,c_52]) ).
tcf(c_3542,plain,
iPr_def_10 = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_3537,c_2824]) ).
tcf(c_3580,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ~ subq(iPr_def_12,X0) ),
inference(demodulation,[status(thm)],[c_1415,c_3542]) ).
tcf(c_3588,plain,
mem(iPr_def_10,iPr_def_14),
inference(demodulation,[status(thm)],[c_1295,c_3542]) ).
tcf(c_3589,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ mem(X0,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_1168,c_3542]) ).
tcf(c_3665,plain,
( ( e = iPr_def_10 )
| ~ mem(e,iPr_def_12) ),
inference(instantiation,[status(thm)],[c_3589]) ).
tcf(c_3694,plain,
( mem(e,iPr_def_16)
| ~ atleast3p(iPr_def_16) ),
inference(superposition,[status(thm)],[c_3491,c_1583]) ).
tcf(c_3892,plain,
! [X0: $i] :
( atleast2p(iPr_def_12)
| mem(iPr_def_10,p(X0))
| ~ mem(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_64,c_3580]) ).
tcf(c_3965,plain,
( atleast3p(iPr_def_14)
| ( iPr_def_12 = iPr_def_14 )
| ~ atleast2p(iPr_def_12)
| ~ subq(iPr_def_12,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2501,c_52]) ).
tcf(c_3971,plain,
( atleast3p(iPr_def_14)
| ( iPr_def_12 = iPr_def_14 )
| ~ atleast2p(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3965,c_2491]) ).
tcf(c_3990,plain,
( atleast3p(iPr_def_16)
| mem(iPr_def_14,iPr_def_14)
| ~ atleast2p(iPr_def_14) ),
inference(superposition,[status(thm)],[c_2532,c_1777]) ).
tcf(c_4004,plain,
subq(iPr_def_12,iPr_def_16),
inference(superposition,[status(thm)],[c_2493,c_49]) ).
tcf(c_4014,plain,
( atleast3p(iPr_def_16)
| subq(iPr_def_16,iPr_def_12)
| ~ atleast2p(iPr_def_12) ),
inference(superposition,[status(thm)],[c_4004,c_65]) ).
tcf(c_4026,plain,
subq(iPr_def_14,iPr_def_17),
inference(superposition,[status(thm)],[c_2524,c_49]) ).
tcf(c_4361,plain,
( subq(iPr_def_17,iPr_def_14)
| ~ atleast3p(iPr_def_14) ),
inference(superposition,[status(thm)],[c_4026,c_662]) ).
tcf(c_4405,plain,
( mem(e,iPr_def_14)
| ~ atleast3p(iPr_def_14) ),
inference(superposition,[status(thm)],[c_4361,c_1583]) ).
tcf(c_4428,plain,
( mem(e,iPr_def_16)
| ~ atleast3p(iPr_def_14) ),
inference(superposition,[status(thm)],[c_4405,c_1232]) ).
tcf(c_4439,plain,
! [X0: $i] :
( mem(e,X0)
| ~ atleast3p(iPr_def_14)
| ~ subq(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_4428,c_51]) ).
tcf(c_4726,plain,
subq(iPr_def_13,iPr_def_16),
inference(superposition,[status(thm)],[c_3127,c_49]) ).
tcf(c_4736,plain,
( atleast3p(iPr_def_16)
| subq(iPr_def_16,iPr_def_13)
| ~ atleast2p(iPr_def_13) ),
inference(superposition,[status(thm)],[c_4726,c_65]) ).
tcf(c_5690,plain,
( atleast3p(iPr_def_16)
| mem(e,iPr_def_13)
| ~ atleast3p(iPr_def_14)
| ~ atleast2p(iPr_def_13) ),
inference(superposition,[status(thm)],[c_4736,c_4439]) ).
tcf(c_7587,plain,
( ~ atleast3p(iPr_def_14)
| mem(e,iPr_def_13) ),
inference(global_subsumption_just,[status(thm)],[c_5690,c_68,c_69,c_74,c_1121,c_1581,c_2608,c_3665,c_4405]) ).
tcf(c_7588,plain,
( mem(e,iPr_def_13)
| ~ atleast3p(iPr_def_14) ),
inference(renaming,[status(thm)],[c_7587]) ).
tcf(c_7594,plain,
( ( e = iPr_def_12 )
| ~ atleast3p(iPr_def_14) ),
inference(superposition,[status(thm)],[c_7588,c_1169]) ).
tcf(c_8122,plain,
( mem(e,iPr_def_15)
| mem(e,iPr_def_14)
| ~ atleast3p(iPr_def_16) ),
inference(superposition,[status(thm)],[c_3694,c_1563]) ).
tcf(c_8341,plain,
( mem(e,iPr_def_14)
| ( e = iPr_def_14 )
| ~ atleast3p(iPr_def_16) ),
inference(superposition,[status(thm)],[c_8122,c_1170]) ).
tcf(c_9227,plain,
! [X0: $i] :
( atleast2p(iPr_def_14)
| subq(iPr_def_12,X0)
| ~ mem(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_1995,c_63]) ).
tcf(c_9249,plain,
( atleast2p(iPr_def_14)
| subq(iPr_def_12,e)
| ~ atleast3p(iPr_def_14) ),
inference(superposition,[status(thm)],[c_4405,c_9227]) ).
tcf(c_9259,plain,
( atleast2p(iPr_def_14)
| subq(iPr_def_12,iPr_def_10) ),
inference(superposition,[status(thm)],[c_3588,c_9227]) ).
tcf(c_9451,plain,
( atleast2p(iPr_def_14)
| mem(iPr_def_10,iPr_def_10) ),
inference(superposition,[status(thm)],[c_9259,c_3580]) ).
tcf(c_9510,plain,
( atleast2p(iPr_def_14)
| ( e = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_9451,c_1167]) ).
tcf(c_9542,plain,
atleast2p(iPr_def_14),
inference(global_subsumption_just,[status(thm)],[c_9249,c_68,c_69,c_74,c_1121,c_2608,c_9510]) ).
tcf(c_9551,plain,
( atleast3p(iPr_def_16)
| mem(iPr_def_14,iPr_def_14) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3990,c_9542]) ).
tcf(c_9577,plain,
iPr_def_14 = iPr_def_14,
inference(instantiation,[status(thm)],[c_663]) ).
tcf(c_9982,plain,
( atleast3p(iPr_def_16)
| mem(iPr_def_14,iPr_def_13)
| mem(iPr_def_14,iPr_def_12) ),
inference(superposition,[status(thm)],[c_9551,c_1562]) ).
tcf(c_11713,plain,
! [X0: $i] :
( atleast2p(iPr_def_12)
| subq(iPr_def_10,X0)
| ~ mem(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_3892,c_63]) ).
tcf(c_12348,plain,
! [X0: $i,X1: $i] :
( mem(X0,X1)
| ~ mem(iPr_def_11,iPr_def_12)
| ( X1 != iPr_def_12 )
| ( X0 != iPr_def_11 ) ),
inference(instantiation,[status(thm)],[c_667]) ).
tcf(c_13260,plain,
( atleast3p(iPr_def_16)
| mem(iPr_def_14,iPr_def_12)
| ( iPr_def_12 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9982,c_1169]) ).
tcf(c_14199,plain,
( ( e = iPr_def_10 )
| ( sK0(iPr_def_10,iPr_def_12) = e ) ),
inference(superposition,[status(thm)],[c_1814,c_3589]) ).
tcf(c_14646,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_665]) ).
tcf(c_15707,plain,
! [X0: $i] :
( subq(iPr_def_14,X0)
| ~ subq(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_2523,c_49]) ).
tcf(c_15896,plain,
( atleast3p(iPr_def_16)
| subq(iPr_def_14,iPr_def_12)
| ~ atleast2p(iPr_def_12) ),
inference(superposition,[status(thm)],[c_4014,c_15707]) ).
tcf(c_16041,plain,
( atleast3p(iPr_def_16)
| ( iPr_def_12 = iPr_def_14 )
| ~ atleast2p(iPr_def_12) ),
inference(superposition,[status(thm)],[c_15896,c_2502]) ).
tcf(c_18560,plain,
sK0(iPr_def_10,iPr_def_12) = e,
inference(global_subsumption_just,[status(thm)],[c_14199,c_68,c_69,c_74,c_1121,c_2608,c_14199]) ).
tcf(c_18562,plain,
( subq(iPr_def_10,iPr_def_12)
| ~ mem(e,iPr_def_12) ),
inference(superposition,[status(thm)],[c_18560,c_49]) ).
tcf(c_18575,plain,
~ mem(e,iPr_def_12),
inference(global_subsumption_just,[status(thm)],[c_18562,c_68,c_69,c_74,c_1121,c_2608,c_3665]) ).
tcf(c_20563,plain,
! [X0: $i] :
( subq(iPr_def_16,X0)
| ~ subq(iPr_def_17,X0) ),
inference(superposition,[status(thm)],[c_3427,c_49]) ).
tcf(c_20878,plain,
( subq(iPr_def_16,iPr_def_14)
| ~ atleast3p(iPr_def_14) ),
inference(superposition,[status(thm)],[c_4361,c_20563]) ).
tcf(c_24877,plain,
( atleast3p(iPr_def_16)
| atleast2p(iPr_def_12)
| subq(iPr_def_10,iPr_def_14)
| ( iPr_def_12 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13260,c_11713]) ).
tcf(c_28857,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ( sK0(s(X0),p(X1)) = X0 ) ),
inference(superposition,[status(thm)],[c_2871,c_63]) ).
tcf(c_29351,plain,
! [X0: $i] :
( subq(iPr_def_17,X0)
| ( sK0(s(X0),p(iPr_def_17)) = X0 )
| ~ atleast3p(X0) ),
inference(superposition,[status(thm)],[c_28857,c_662]) ).
tcf(c_30565,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(s(X0),p(iPr_def_17)) = X0 )
| ~ atleast3p(X0) ),
inference(superposition,[status(thm)],[c_29351,c_1583]) ).
tcf(c_31910,plain,
! [X0: $i,X1: $i] :
( mem(e,X1)
| ( sK0(s(X0),p(iPr_def_17)) = X0 )
| ~ atleast3p(X0)
| ~ subq(X0,X1) ),
inference(superposition,[status(thm)],[c_30565,c_51]) ).
tcf(c_35032,plain,
~ mem(iPr_def_11,e),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_38870,plain,
! [X0: $i] :
( mem(X0,iPr_def_14)
| ~ subq(iPr_def_10,iPr_def_14)
| ~ mem(X0,iPr_def_10) ),
inference(instantiation,[status(thm)],[c_2595]) ).
tcf(c_38871,plain,
( mem(e,iPr_def_14)
| ~ mem(e,iPr_def_10)
| ~ subq(iPr_def_10,iPr_def_14) ),
inference(instantiation,[status(thm)],[c_38870]) ).
tcf(c_40298,plain,
! [X0: $i,X1: $i,X2: $i] :
( subq(iPr_def_14,X0)
| ~ subq(X2,X1)
| ( iPr_def_14 != X2 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_666]) ).
tcf(c_40299,plain,
( subq(iPr_def_14,e)
| ~ subq(e,e)
| ( iPr_def_14 != e )
| ( e != e ) ),
inference(instantiation,[status(thm)],[c_40298]) ).
tcf(c_40506,plain,
( mem(e,iPr_def_14)
| ( sK0(s(iPr_def_16),p(iPr_def_17)) = iPr_def_16 )
| ~ atleast3p(iPr_def_16)
| ~ atleast3p(iPr_def_14) ),
inference(superposition,[status(thm)],[c_20878,c_31910]) ).
tcf(c_43558,plain,
! [X0: $i] :
( mem(iPr_def_11,X0)
| ~ mem(iPr_def_11,iPr_def_12)
| ( iPr_def_11 != iPr_def_11 )
| ( X0 != iPr_def_12 ) ),
inference(instantiation,[status(thm)],[c_12348]) ).
tcf(c_43559,plain,
( mem(iPr_def_11,e)
| ~ mem(iPr_def_11,iPr_def_12)
| ( iPr_def_11 != iPr_def_11 )
| ( e != iPr_def_12 ) ),
inference(instantiation,[status(thm)],[c_43558]) ).
tcf(c_44409,plain,
! [X0: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != iPr_def_14 )
| ( X0 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_14646]) ).
tcf(c_44410,plain,
( ( iPr_def_14 = e )
| ( iPr_def_14 != iPr_def_14 )
| ( e != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_44409]) ).
tcf(c_44432,plain,
~ atleast3p(iPr_def_16),
inference(global_subsumption_just,[status(thm)],[c_40506,c_68,c_69,c_74,c_1121,c_1122,c_1130,c_1182,c_1450,c_1581,c_2608,c_2736,c_3665,c_8341,c_9577,c_35032,c_40299,c_43559,c_44410]) ).
tcf(c_44451,plain,
( ( iPr_def_12 = iPr_def_14 )
| ~ atleast2p(iPr_def_12) ),
inference(backward_subsumption_resolution,[status(thm)],[c_16041,c_44432]) ).
tcf(c_49812,plain,
iPr_def_12 = iPr_def_14,
inference(global_subsumption_just,[status(thm)],[c_44451,c_68,c_69,c_74,c_1121,c_1122,c_1130,c_1182,c_1450,c_1581,c_2608,c_2736,c_3665,c_3971,c_7594,c_8341,c_9577,c_24877,c_35032,c_38871,c_40299,c_43559,c_44410]) ).
tcf(c_49976,plain,
mem(iPr_def_12,iPr_def_12),
inference(demodulation,[status(thm)],[c_1592,c_49812]) ).
tcf(c_50338,plain,
iPr_def_10 = iPr_def_12,
inference(superposition,[status(thm)],[c_49976,c_3589]) ).
tcf(c_50438,plain,
~ mem(e,iPr_def_10),
inference(demodulation,[status(thm)],[c_18575,c_50338]) ).
tcf(c_50518,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_50438,c_1121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV541+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n010.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Thu Sep 24 14:57:59 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 18.63/3.32 % SZS status Started for theBenchmark.p
% 18.63/3.32 % SZS status Theorem for theBenchmark.p
% 18.63/3.32
% 18.63/3.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.63/3.32
% 18.63/3.32 % ------ iProver source info
% 18.63/3.32
% 18.63/3.32 % git: date: 2026-07-19 20:42:38 +0200
% 18.63/3.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.63/3.32 % git: non_committed_changes: false
% 18.63/3.32
% 18.63/3.32 % ------ Parsing...
% 18.63/3.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 18.63/3.32
% 18.63/3.32 % ------ 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 %
% 18.63/3.32
% 18.63/3.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 18.63/3.32
% 18.63/3.32 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 18.63/3.32 % ------ Proving...
% 18.63/3.32 % ------ Problem Properties
% 18.63/3.32
% 18.63/3.32 %
% 18.63/3.32 % clauses 26
% 18.63/3.32 % conjectures 0
% 18.63/3.32 % EPR 5
% 18.63/3.32 % Horn 21
% 18.63/3.32 % unary 10
% 18.63/3.32 % binary 9
% 18.63/3.32 % lits 50
% 18.63/3.32 % lits eq 10
% 18.63/3.32 % fd_pure 0
% 18.63/3.32 % fd_pseudo 0
% 18.63/3.32 % fd_cond 0
% 18.63/3.32 % fd_pseudo_cond 2
% 18.63/3.32 % AC symbols 0
% 18.63/3.32
% 18.63/3.32 % ------ Schedule dynamic 5 is on
% 18.63/3.32
% 18.63/3.32 % ------ no conjectures: strip conj schedule
% 18.63/3.32
% 18.63/3.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 18.63/3.32
% 18.63/3.32
% 18.63/3.32 % ------
% 18.63/3.32 % Current options:
% 18.63/3.32 % ------
% 18.63/3.32
% 18.63/3.32
% 18.63/3.32 %
% 18.63/3.32
% 18.63/3.32 % ------ Proving...
% 18.63/3.32 %
% 18.63/3.32
% 18.63/3.32 % SZS status Theorem for theBenchmark.p
% 18.63/3.32
% 18.63/3.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.63/3.33
% 18.63/3.33
%------------------------------------------------------------------------------