%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET936+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n007.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 02:49:09 PM UTC 2026
% Result : Theorem 5.10s 1.72s
% Output : CNFRefutation 5.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 92 ( 28 unt; 5 def)
% Number of atoms : 384 ( 46 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 277 ( 110 ~; 129 |; 32 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 153 ( 0 sgn 146 !; 7 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f3,axiom,
! [X0,X1] :
( X1 = powerset(X0)
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f4,axiom,
! [X0,X1,X2] :
( X2 = set_intersection2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f9,axiom,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( subset(X0,X2)
& subset(X0,X1) )
=> subset(X0,set_intersection2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_xboole_1) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f13,conjecture,
! [X0,X1] : powerset(set_intersection2(X0,X1)) = set_intersection2(powerset(X0),powerset(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t83_zfmisc_1) ).
fof(f14,negated_conjecture,
~ ! [X0,X1] : powerset(set_intersection2(X0,X1)) = set_intersection2(powerset(X0),powerset(X1)),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ~ subset(X0,X2)
| ~ subset(X0,X1)
| subset(X0,set_intersection2(X1,X2)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ subset(X0,X2)
| ~ subset(X0,X1)
| subset(X0,set_intersection2(X1,X2)) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(flattening,[],[f20]) ).
fof(f23,plain,
? [X0,X1] : powerset(set_intersection2(X0,X1)) != set_intersection2(powerset(X0),powerset(X1)),
inference(ennf_transformation,[],[f14]) ).
fof(f24,plain,
! [X0,X1] :
( ( powerset(X0) != X1
| ! [X2] :
( ( ~ in(X2,X1)
| subset(X2,X0) )
& ( ~ subset(X2,X0)
| in(X2,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| subset(X2,X0) )
& ( ~ in(X2,X1)
| ~ subset(X2,X0) ) )
| X1 = powerset(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f25,plain,
! [X0,X1] :
( ( powerset(X0) != X1
| ! [X3] :
( ( ~ in(X3,X1)
| subset(X3,X0) )
& ( ~ subset(X3,X0)
| in(X3,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| subset(X2,X0) )
& ( ~ in(X2,X1)
| ~ subset(X2,X0) ) )
| X1 = powerset(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( ( powerset(X0) != X1
| ! [X3] :
( ( ~ in(X3,X1)
| subset(X3,X0) )
& ( ~ subset(X3,X0)
| in(X3,X1) ) ) )
& ( ( ( in(sK0(X0,X1),X1)
| subset(sK0(X0,X1),X0) )
& ( ~ in(sK0(X0,X1),X1)
| ~ subset(sK0(X0,X1),X0) ) )
| X1 = powerset(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f25]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) != X2
| ! [X3] :
( ( ~ in(X3,X2)
| ( in(X3,X1)
& in(X3,X0) ) )
& ( ~ in(X3,X1)
| ~ in(X3,X0)
| in(X3,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| ( in(X3,X1)
& in(X3,X0) ) )
& ( ~ in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) ) )
| X2 = set_intersection2(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) != X2
| ! [X3] :
( ( ~ in(X3,X2)
| ( in(X3,X1)
& in(X3,X0) ) )
& ( ~ in(X3,X1)
| ~ in(X3,X0)
| in(X3,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| ( in(X3,X1)
& in(X3,X0) ) )
& ( ~ in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) ) )
| X2 = set_intersection2(X0,X1) ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) != X2
| ! [X4] :
( ( ~ in(X4,X2)
| ( in(X4,X1)
& in(X4,X0) ) )
& ( ~ in(X4,X1)
| ~ in(X4,X0)
| in(X4,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| ( in(X3,X1)
& in(X3,X0) ) )
& ( ~ in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) ) )
| X2 = set_intersection2(X0,X1) ) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) != X2
| ! [X4] :
( ( ~ in(X4,X2)
| ( in(X4,X1)
& in(X4,X0) ) )
& ( ~ in(X4,X1)
| ~ in(X4,X0)
| in(X4,X2) ) ) )
& ( ( ( in(sK1(X0,X1,X2),X2)
| ( in(sK1(X0,X1,X2),X1)
& in(sK1(X0,X1,X2),X0) ) )
& ( ~ in(sK1(X0,X1,X2),X2)
| ~ in(sK1(X0,X1,X2),X1)
| ~ in(sK1(X0,X1,X2),X0) ) )
| X2 = set_intersection2(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f29]) ).
fof(f35,plain,
powerset(set_intersection2(sK5,sK6)) != set_intersection2(powerset(sK5),powerset(sK6)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X0,sK5),skolemize(X1,sK6)],[f23]) ).
fof(f37,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f38,plain,
! [X3,X0,X1] :
( powerset(X0) != X1
| ~ in(X3,X1)
| subset(X3,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f39,plain,
! [X3,X0,X1] :
( powerset(X0) != X1
| ~ subset(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f40,plain,
! [X0,X1] :
( in(sK0(X0,X1),X1)
| subset(sK0(X0,X1),X0)
| powerset(X0) = X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f41,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| ~ subset(sK0(X0,X1),X0)
| powerset(X0) = X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f42,plain,
! [X2,X0,X1,X4] :
( set_intersection2(X0,X1) != X2
| ~ in(X4,X2)
| in(X4,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f43,plain,
! [X2,X0,X1,X4] :
( set_intersection2(X0,X1) != X2
| ~ in(X4,X2)
| in(X4,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f44,plain,
! [X2,X0,X1,X4] :
( set_intersection2(X0,X1) != X2
| ~ in(X4,X1)
| ~ in(X4,X0)
| in(X4,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f52,plain,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
inference(cnf_transformation,[],[f9]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ subset(X0,X2)
| ~ subset(X0,X1)
| subset(X0,set_intersection2(X1,X2)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f57,plain,
powerset(set_intersection2(sK5,sK6)) != set_intersection2(powerset(sK5),powerset(sK6)),
inference(cnf_transformation,[],[f35]) ).
fof(f58,plain,
! [X3,X0] :
( ~ subset(X3,X0)
| in(X3,powerset(X0)) ),
inference(equality_resolution,[],[f39]) ).
fof(f59,plain,
! [X3,X0] :
( ~ in(X3,powerset(X0))
| subset(X3,X0) ),
inference(equality_resolution,[],[f38]) ).
fof(f60,plain,
! [X0,X1,X4] :
( ~ in(X4,X1)
| ~ in(X4,X0)
| in(X4,set_intersection2(X0,X1)) ),
inference(equality_resolution,[],[f44]) ).
fof(f61,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f43]) ).
fof(f62,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X1) ),
inference(equality_resolution,[],[f42]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f37]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( ( powerset(X0) = X1 )
| ~ subset(sK0(X0,X1),X0)
| ~ in(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( subset(sK0(X0,X1),X0)
| in(sK0(X0,X1),X1)
| ( powerset(X0) = X1 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( in(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ in(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,set_intersection2(X2,X1))
| ~ in(X0,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,X1)
| ~ in(X0,set_intersection2(X1,X2)) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,X2)
| ~ in(X0,set_intersection2(X1,X2)) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),X0),
inference(cnf_transformation,[],[f52]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X2,X1)
| ~ subset(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_70,negated_conjecture,
set_intersection2(powerset(sK5),powerset(sK6)) != powerset(set_intersection2(sK5,sK6)),
inference(cnf_transformation,[],[f57]) ).
tcf(c_566,definition,
iPr_def_10 = powerset(sK5),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_567,definition,
iPr_def_11 = powerset(sK6),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_568,definition,
iPr_def_12 = set_intersection2(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_569,definition,
iPr_def_13 = set_intersection2(sK5,sK6),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_570,definition,
iPr_def_14 = powerset(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_571,negated_conjecture,
iPr_def_12 != iPr_def_14,
inference(demodulation,[status(thm)],[c_70,c_569,c_570,c_567,c_566,c_568]) ).
tcf(c_11705,plain,
subset(iPr_def_13,sK5),
inference(superposition,[status(thm)],[c_569,c_65]) ).
tcf(c_11719,plain,
! [X0: $i,X1: $i] : subset(set_intersection2(X0,X1),X1),
inference(superposition,[status(thm)],[c_50,c_65]) ).
tcf(c_11724,plain,
subset(iPr_def_13,sK6),
inference(superposition,[status(thm)],[c_569,c_11719]) ).
tcf(c_11730,plain,
! [X0: $i] :
( in(X0,iPr_def_10)
| ~ subset(X0,sK5) ),
inference(superposition,[status(thm)],[c_566,c_53]) ).
tcf(c_11731,plain,
! [X0: $i] :
( in(X0,iPr_def_11)
| ~ subset(X0,sK6) ),
inference(superposition,[status(thm)],[c_567,c_53]) ).
tcf(c_11732,plain,
! [X0: $i] :
( in(X0,iPr_def_14)
| ~ subset(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_570,c_53]) ).
tcf(c_11764,plain,
! [X0: $i] :
( subset(X0,sK5)
| ~ in(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_566,c_54]) ).
tcf(c_11765,plain,
! [X0: $i] :
( subset(X0,sK6)
| ~ in(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_567,c_54]) ).
tcf(c_11766,plain,
! [X0: $i] :
( subset(X0,iPr_def_13)
| ~ in(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_570,c_54]) ).
tcf(c_11781,plain,
! [X0: $i] :
( in(X0,iPr_def_10)
| ~ in(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_568,c_59]) ).
tcf(c_11794,plain,
! [X0: $i] :
( in(X0,iPr_def_11)
| ~ in(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_568,c_60]) ).
tcf(c_11808,plain,
! [X0: $i] :
( subset(X0,sK5)
| ~ subset(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_11705,c_67]) ).
tcf(c_11810,plain,
! [X0: $i] :
( subset(X0,sK6)
| ~ subset(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_11724,c_67]) ).
tcf(c_11924,plain,
! [X0: $i] :
( in(X0,iPr_def_12)
| ~ in(X0,iPr_def_11)
| ~ in(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_568,c_58]) ).
tcf(c_11958,plain,
! [X0: $i] :
( subset(X0,iPr_def_13)
| ~ subset(X0,sK6)
| ~ subset(X0,sK5) ),
inference(superposition,[status(thm)],[c_569,c_66]) ).
tcf(c_12190,plain,
! [X0: $i] :
( in(sK0(iPr_def_13,X0),iPr_def_14)
| in(sK0(iPr_def_13,X0),X0)
| ( powerset(iPr_def_13) = X0 ) ),
inference(superposition,[status(thm)],[c_52,c_11732]) ).
tcf(c_12194,plain,
! [X0: $i] :
( in(sK0(iPr_def_13,X0),iPr_def_14)
| in(sK0(iPr_def_13,X0),X0)
| ( X0 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_12190,c_570]) ).
tcf(c_12972,plain,
( in(sK0(iPr_def_13,iPr_def_12),iPr_def_14)
| in(sK0(iPr_def_13,iPr_def_12),iPr_def_11)
| ( iPr_def_12 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12194,c_11794]) ).
tcf(c_12973,plain,
( in(sK0(iPr_def_13,iPr_def_12),iPr_def_14)
| in(sK0(iPr_def_13,iPr_def_12),iPr_def_10)
| ( iPr_def_12 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12194,c_11781]) ).
tcf(c_12976,plain,
( in(sK0(iPr_def_13,iPr_def_12),iPr_def_14)
| in(sK0(iPr_def_13,iPr_def_12),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12973,c_571]) ).
tcf(c_12979,plain,
( in(sK0(iPr_def_13,iPr_def_12),iPr_def_14)
| in(sK0(iPr_def_13,iPr_def_12),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12972,c_571]) ).
tcf(c_13191,plain,
( subset(sK0(iPr_def_13,iPr_def_12),iPr_def_13)
| in(sK0(iPr_def_13,iPr_def_12),iPr_def_10) ),
inference(superposition,[status(thm)],[c_12976,c_11766]) ).
tcf(c_13241,plain,
( subset(sK0(iPr_def_13,iPr_def_12),iPr_def_13)
| in(sK0(iPr_def_13,iPr_def_12),iPr_def_11) ),
inference(superposition,[status(thm)],[c_12979,c_11766]) ).
tcf(c_13328,plain,
( subset(sK0(iPr_def_13,iPr_def_12),sK5)
| in(sK0(iPr_def_13,iPr_def_12),iPr_def_10) ),
inference(superposition,[status(thm)],[c_13191,c_11808]) ).
tcf(c_13728,plain,
subset(sK0(iPr_def_13,iPr_def_12),sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_13328,c_11764]) ).
tcf(c_13730,plain,
( subset(sK0(iPr_def_13,iPr_def_12),iPr_def_13)
| ~ subset(sK0(iPr_def_13,iPr_def_12),sK6) ),
inference(superposition,[status(thm)],[c_13728,c_11958]) ).
tcf(c_13731,plain,
in(sK0(iPr_def_13,iPr_def_12),iPr_def_10),
inference(superposition,[status(thm)],[c_13728,c_11730]) ).
tcf(c_14242,plain,
( subset(sK0(iPr_def_13,iPr_def_12),sK6)
| in(sK0(iPr_def_13,iPr_def_12),iPr_def_11) ),
inference(superposition,[status(thm)],[c_13241,c_11810]) ).
tcf(c_14930,plain,
subset(sK0(iPr_def_13,iPr_def_12),sK6),
inference(forward_subsumption_resolution,[status(thm)],[c_14242,c_11765]) ).
tcf(c_14932,plain,
in(sK0(iPr_def_13,iPr_def_12),iPr_def_11),
inference(superposition,[status(thm)],[c_14930,c_11731]) ).
tcf(c_14944,plain,
( in(sK0(iPr_def_13,iPr_def_12),iPr_def_12)
| ~ in(sK0(iPr_def_13,iPr_def_12),iPr_def_10) ),
inference(superposition,[status(thm)],[c_14932,c_11924]) ).
tcf(c_14945,plain,
in(sK0(iPr_def_13,iPr_def_12),iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_14944,c_13731]) ).
tcf(c_15182,plain,
subset(sK0(iPr_def_13,iPr_def_12),iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_13730,c_14930]) ).
tcf(c_16543,plain,
( ( powerset(iPr_def_13) = iPr_def_12 )
| ~ subset(sK0(iPr_def_13,iPr_def_12),iPr_def_13) ),
inference(superposition,[status(thm)],[c_14945,c_51]) ).
tcf(c_16546,plain,
( ( iPr_def_12 = iPr_def_14 )
| ~ subset(sK0(iPr_def_13,iPr_def_12),iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_16543,c_570]) ).
tcf(c_16547,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_16546,c_571,c_15182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET936+1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 12:22:08 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 5.10/1.72 % SZS status Started for theBenchmark.p
% 5.10/1.72 % SZS status Theorem for theBenchmark.p
% 5.10/1.72
% 5.10/1.72 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.10/1.72
% 5.10/1.72 % ------ iProver source info
% 5.10/1.72
% 5.10/1.72 % git: date: 2026-07-19 20:42:38 +0200
% 5.10/1.72 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.10/1.72 % git: non_committed_changes: false
% 5.10/1.72
% 5.10/1.72 % ------ Parsing...
% 5.10/1.72 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.10/1.72
% 5.10/1.72 % ------ 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 %
% 5.10/1.72
% 5.10/1.72 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 5.10/1.72
% 5.10/1.72 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 5.10/1.72 % ------ Proving...
% 5.10/1.72 % ------ Problem Properties
% 5.10/1.72
% 5.10/1.72 %
% 5.10/1.72 % clauses 26
% 5.10/1.72 % conjectures 1
% 5.10/1.72 % EPR 5
% 5.10/1.72 % Horn 22
% 5.10/1.72 % unary 11
% 5.10/1.72 % binary 5
% 5.10/1.72 % lits 52
% 5.10/1.72 % lits eq 16
% 5.10/1.72 % fd_pure 0
% 5.10/1.72 % fd_pseudo 0
% 5.10/1.72 % fd_cond 0
% 5.10/1.72 % fd_pseudo_cond 7
% 5.10/1.72 % AC symbols 0
% 5.10/1.72
% 5.10/1.72 % ------ Schedule dynamic 5 is on
% 5.10/1.72
% 5.10/1.72 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 5.10/1.72
% 5.10/1.72
% 5.10/1.72 % ------
% 5.10/1.72 % Current options:
% 5.10/1.72 % ------
% 5.10/1.72
% 5.10/1.72
% 5.10/1.72 %
% 5.10/1.72
% 5.10/1.72 % ------ Proving...
% 5.10/1.72 %
% 5.10/1.72
% 5.10/1.72 % SZS status Theorem for theBenchmark.p
% 5.10/1.72
% 5.10/1.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.10/1.72
% 5.10/1.72
%------------------------------------------------------------------------------