%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU055+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n014.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 02:55:10 PM UTC 2026
% Result : Theorem 72.61s 10.81s
% Output : CNFRefutation 72.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 87 ( 32 unt; 0 def)
% Number of atoms : 254 ( 94 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 289 ( 122 ~; 125 |; 29 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 104 ( 1 sgn 98 !; 6 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
<=> ! [X1,X2] :
( ( apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).
fof(f26,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f27,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( in(X0,relation_dom(X1))
=> relation_image(X1,singleton(X0)) = singleton(apply(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_funct_1) ).
fof(f28,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
=> one_to_one(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t124_funct_1) ).
fof(f29,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
=> one_to_one(X0) ) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f31,axiom,
! [X0,X1] :
( set_difference(singleton(X0),singleton(X1)) = singleton(X0)
<=> X0 != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_zfmisc_1) ).
fof(f33,axiom,
! [X0,X1] :
( set_difference(X0,X1) = empty_set
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
fof(f42,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f26]) ).
fof(f50,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ( one_to_one(X0)
<=> ! [X1,X2] :
( apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0))
| X1 = X2 ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f51,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ( one_to_one(X0)
<=> ! [X1,X2] :
( apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0))
| X1 = X2 ) ) ),
inference(flattening,[],[f50]) ).
fof(f58,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ in(X0,relation_dom(X1))
| relation_image(X1,singleton(X0)) = singleton(apply(X1,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f59,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ in(X0,relation_dom(X1))
| relation_image(X1,singleton(X0)) = singleton(apply(X1,X0)) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
? [X0] :
( function(X0)
& relation(X0)
& ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
& ~ one_to_one(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f61,plain,
? [X0] :
( function(X0)
& relation(X0)
& ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
& ~ one_to_one(X0) ),
inference(flattening,[],[f60]) ).
fof(f74,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ( ( ~ one_to_one(X0)
| ! [X1,X2] :
( apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0))
| X1 = X2 ) )
& ( ? [X1,X2] :
( apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0))
& X1 != X2 )
| one_to_one(X0) ) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f75,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ( ( ~ one_to_one(X0)
| ! [X3,X4] :
( apply(X0,X3) != apply(X0,X4)
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0))
| X3 = X4 ) )
& ( ? [X1,X2] :
( apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0))
& X1 != X2 )
| one_to_one(X0) ) ) ),
inference(rectify,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ( ( ~ one_to_one(X0)
| ! [X3,X4] :
( apply(X0,X3) != apply(X0,X4)
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0))
| X3 = X4 ) )
& ( ( apply(X0,sK1(X0)) = apply(X0,sK2(X0))
& in(sK2(X0),relation_dom(X0))
& in(sK1(X0),relation_dom(X0))
& sK1(X0) != sK2(X0) )
| one_to_one(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0))],[f75]) ).
fof(f88,plain,
( function(sK14)
& relation(sK14)
& ! [X1,X2] : relation_image(sK14,set_difference(X1,X2)) = set_difference(relation_image(sK14,X1),relation_image(sK14,X2))
& ~ one_to_one(sK14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X0,sK14)],[f61]) ).
fof(f89,plain,
! [X0,X1] :
( ( singleton(X0) != set_difference(singleton(X0),singleton(X1))
| X0 != X1 )
& ( X0 = X1
| set_difference(singleton(X0),singleton(X1)) = singleton(X0) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f90,plain,
! [X0,X1] :
( ( empty_set != set_difference(X0,X1)
| subset(X0,X1) )
& ( ~ subset(X0,X1)
| set_difference(X0,X1) = empty_set ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f103,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| apply(X0,sK1(X0)) = apply(X0,sK2(X0))
| one_to_one(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f104,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| in(sK2(X0),relation_dom(X0))
| one_to_one(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f105,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| in(sK1(X0),relation_dom(X0))
| one_to_one(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f106,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| sK1(X0) != sK2(X0)
| one_to_one(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f138,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f42]) ).
fof(f139,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ in(X0,relation_dom(X1))
| relation_image(X1,singleton(X0)) = singleton(apply(X1,X0)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f140,plain,
function(sK14),
inference(cnf_transformation,[],[f88]) ).
fof(f141,plain,
relation(sK14),
inference(cnf_transformation,[],[f88]) ).
fof(f142,plain,
! [X2,X1] : relation_image(sK14,set_difference(X1,X2)) = set_difference(relation_image(sK14,X1),relation_image(sK14,X2)),
inference(cnf_transformation,[],[f88]) ).
fof(f143,plain,
~ one_to_one(sK14),
inference(cnf_transformation,[],[f88]) ).
fof(f145,plain,
! [X0,X1] :
( singleton(X0) != set_difference(singleton(X0),singleton(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f89]) ).
fof(f146,plain,
! [X0,X1] :
( X0 = X1
| singleton(X0) = set_difference(singleton(X0),singleton(X1)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f149,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| empty_set = set_difference(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f162,plain,
! [X1] : singleton(X1) != set_difference(singleton(X1),singleton(X1)),
inference(equality_resolution,[],[f145]) ).
tcf(c_57,plain,
! [X0: $i] :
( one_to_one(X0)
| ~ relation(X0)
| ~ function(X0)
| ( sK1(X0) != sK2(X0) ) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_58,plain,
! [X0: $i] :
( one_to_one(X0)
| in(sK1(X0),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_59,plain,
! [X0: $i] :
( one_to_one(X0)
| in(sK2(X0),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_60,plain,
! [X0: $i] :
( one_to_one(X0)
| ( apply(X0,sK1(X0)) = apply(X0,sK2(X0)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_93,plain,
! [X0: $i] : subset(X0,X0),
inference(cnf_transformation,[],[f138]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( ( singleton(apply(X1,X0)) = relation_image(X1,singleton(X0)) )
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,relation_dom(X1)) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_95,negated_conjecture,
~ one_to_one(sK14),
inference(cnf_transformation,[],[f143]) ).
tcf(c_96,negated_conjecture,
! [X0: $i,X1: $i] : set_difference(relation_image(sK14,X0),relation_image(sK14,X1)) = relation_image(sK14,set_difference(X0,X1)),
inference(cnf_transformation,[],[f142]) ).
tcf(c_97,negated_conjecture,
relation(sK14),
inference(cnf_transformation,[],[f141]) ).
tcf(c_98,negated_conjecture,
function(sK14),
inference(cnf_transformation,[],[f140]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( set_difference(singleton(X0),singleton(X1)) = singleton(X0) ) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_101,plain,
! [X0: $i] : set_difference(singleton(X0),singleton(X0)) != singleton(X0),
inference(cnf_transformation,[],[f162]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( ( set_difference(X0,X1) = empty_set )
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_1079,plain,
! [X0: $i] :
( ( apply(X0,sK1(X0)) = apply(X0,sK2(X0)) )
| ~ relation(X0)
| ~ function(X0)
| ( X0 != sK14 ) ),
inference(resolution_lifted,[status(thm)],[c_60,c_95]) ).
tcf(c_1080,plain,
( ( apply(sK14,sK1(sK14)) = apply(sK14,sK2(sK14)) )
| ~ relation(sK14)
| ~ function(sK14) ),
inference(unflattening,[status(thm)],[c_1079]) ).
tcf(c_1086,plain,
! [X0: $i] :
( in(sK2(X0),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0)
| ( X0 != sK14 ) ),
inference(resolution_lifted,[status(thm)],[c_59,c_95]) ).
tcf(c_1087,plain,
( in(sK2(sK14),relation_dom(sK14))
| ~ relation(sK14)
| ~ function(sK14) ),
inference(unflattening,[status(thm)],[c_1086]) ).
tcf(c_1093,plain,
! [X0: $i] :
( in(sK1(X0),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0)
| ( X0 != sK14 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_95]) ).
tcf(c_1094,plain,
( in(sK1(sK14),relation_dom(sK14))
| ~ relation(sK14)
| ~ function(sK14) ),
inference(unflattening,[status(thm)],[c_1093]) ).
tcf(c_1100,plain,
! [X0: $i] :
( ~ relation(X0)
| ~ function(X0)
| ( X0 != sK14 )
| ( sK1(X0) != sK2(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_95]) ).
tcf(c_1101,plain,
( ~ relation(sK14)
| ~ function(sK14)
| ( sK1(sK14) != sK2(sK14) ) ),
inference(unflattening,[status(thm)],[c_1100]) ).
tcf(c_1246,plain,
! [X0: $i,X1: $i] :
( ( singleton(apply(X0,X1)) = relation_image(X0,singleton(X1)) )
| ~ relation(X0)
| ~ in(X1,relation_dom(X0))
| ( X0 != sK14 ) ),
inference(resolution_lifted,[status(thm)],[c_94,c_98]) ).
tcf(c_1247,plain,
! [X0: $i] :
( ( singleton(apply(sK14,X0)) = relation_image(sK14,singleton(X0)) )
| ~ relation(sK14)
| ~ in(X0,relation_dom(sK14)) ),
inference(unflattening,[status(thm)],[c_1246]) ).
tcf(c_1249,plain,
! [X0: $i] :
( ( singleton(apply(sK14,X0)) = relation_image(sK14,singleton(X0)) )
| ~ in(X0,relation_dom(sK14)) ),
inference(global_subsumption_just,[status(thm)],[c_1247,c_97,c_1247]) ).
tcf(c_1406,plain,
! [X0: $i] :
( one_to_one(X0)
| ( apply(X0,sK1(X0)) = apply(X0,sK2(X0)) )
| ~ relation(X0)
| ( X0 != sK14 ) ),
inference(resolution_lifted,[status(thm)],[c_60,c_98]) ).
tcf(c_1407,plain,
( one_to_one(sK14)
| ( apply(sK14,sK1(sK14)) = apply(sK14,sK2(sK14)) )
| ~ relation(sK14) ),
inference(unflattening,[status(thm)],[c_1406]) ).
tcf(c_1408,plain,
apply(sK14,sK1(sK14)) = apply(sK14,sK2(sK14)),
inference(global_subsumption_just,[status(thm)],[c_1407,c_98,c_97,c_1080]) ).
tcf(c_1413,plain,
! [X0: $i] :
( one_to_one(X0)
| in(sK2(X0),relation_dom(X0))
| ~ relation(X0)
| ( X0 != sK14 ) ),
inference(resolution_lifted,[status(thm)],[c_59,c_98]) ).
tcf(c_1414,plain,
( one_to_one(sK14)
| in(sK2(sK14),relation_dom(sK14))
| ~ relation(sK14) ),
inference(unflattening,[status(thm)],[c_1413]) ).
tcf(c_1415,plain,
in(sK2(sK14),relation_dom(sK14)),
inference(global_subsumption_just,[status(thm)],[c_1414,c_98,c_97,c_1087]) ).
tcf(c_1420,plain,
! [X0: $i] :
( one_to_one(X0)
| in(sK1(X0),relation_dom(X0))
| ~ relation(X0)
| ( X0 != sK14 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_98]) ).
tcf(c_1421,plain,
( one_to_one(sK14)
| in(sK1(sK14),relation_dom(sK14))
| ~ relation(sK14) ),
inference(unflattening,[status(thm)],[c_1420]) ).
tcf(c_1422,plain,
in(sK1(sK14),relation_dom(sK14)),
inference(global_subsumption_just,[status(thm)],[c_1421,c_98,c_97,c_1094]) ).
tcf(c_1427,plain,
! [X0: $i] :
( one_to_one(X0)
| ~ relation(X0)
| ( X0 != sK14 )
| ( sK1(X0) != sK2(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_98]) ).
tcf(c_1428,plain,
( one_to_one(sK14)
| ~ relation(sK14)
| ( sK1(sK14) != sK2(sK14) ) ),
inference(unflattening,[status(thm)],[c_1427]) ).
tcf(c_1429,plain,
sK1(sK14) != sK2(sK14),
inference(global_subsumption_just,[status(thm)],[c_1428,c_98,c_97,c_1101]) ).
tcf(c_32498,plain,
! [X0: $i] : set_difference(X0,X0) = empty_set,
inference(superposition,[status(thm)],[c_93,c_103]) ).
tcf(c_32507,plain,
! [X0: $i] : relation_image(sK14,set_difference(X0,X0)) = empty_set,
inference(superposition,[status(thm)],[c_32498,c_96]) ).
tcf(c_32751,plain,
relation_image(sK14,empty_set) = empty_set,
inference(light_normalisation,[status(thm)],[c_32507,c_32498]) ).
tcf(c_50642,plain,
singleton(apply(sK14,sK2(sK14))) = relation_image(sK14,singleton(sK2(sK14))),
inference(superposition,[status(thm)],[c_1415,c_1249]) ).
tcf(c_50643,plain,
singleton(apply(sK14,sK1(sK14))) = relation_image(sK14,singleton(sK1(sK14))),
inference(superposition,[status(thm)],[c_1422,c_1249]) ).
tcf(c_50651,plain,
singleton(apply(sK14,sK1(sK14))) = relation_image(sK14,singleton(sK2(sK14))),
inference(light_normalisation,[status(thm)],[c_50642,c_1408]) ).
tcf(c_50652,plain,
! [X0: $i] : set_difference(singleton(apply(sK14,sK1(sK14))),relation_image(sK14,X0)) = relation_image(sK14,set_difference(singleton(sK2(sK14)),X0)),
inference(superposition,[status(thm)],[c_50651,c_96]) ).
tcf(c_50660,plain,
! [X0: $i] : set_difference(singleton(apply(sK14,sK1(sK14))),relation_image(sK14,X0)) = relation_image(sK14,set_difference(singleton(sK1(sK14)),X0)),
inference(superposition,[status(thm)],[c_50643,c_96]) ).
tcf(c_50662,plain,
! [X0: $i] : relation_image(sK14,set_difference(singleton(sK1(sK14)),X0)) = relation_image(sK14,set_difference(singleton(sK2(sK14)),X0)),
inference(demodulation,[status(thm)],[c_50652,c_50660]) ).
tcf(c_57756,plain,
! [X0: $i] : set_difference(X0,X0) = empty_set,
inference(superposition,[status(thm)],[c_93,c_103]) ).
tcf(c_58771,plain,
! [X0: $i] :
( ( sK2(sK14) = X0 )
| ( relation_image(sK14,set_difference(singleton(sK1(sK14)),singleton(X0))) = relation_image(sK14,singleton(sK2(sK14))) ) ),
inference(superposition,[status(thm)],[c_100,c_50662]) ).
tcf(c_63103,plain,
! [X0: $i] :
( ( sK2(sK14) = X0 )
| ( relation_image(sK14,set_difference(singleton(sK1(sK14)),singleton(X0))) = singleton(apply(sK14,sK1(sK14))) ) ),
inference(light_normalisation,[status(thm)],[c_58771,c_50651]) ).
tcf(c_64759,plain,
! [X0: $i] : singleton(X0) != empty_set,
inference(demodulation,[status(thm)],[c_101,c_57756]) ).
tcf(c_65098,plain,
( ( sK1(sK14) = sK2(sK14) )
| ( singleton(apply(sK14,sK1(sK14))) = relation_image(sK14,empty_set) ) ),
inference(superposition,[status(thm)],[c_57756,c_63103]) ).
tcf(c_65146,plain,
singleton(apply(sK14,sK1(sK14))) = relation_image(sK14,empty_set),
inference(forward_subsumption_resolution,[status(thm)],[c_65098,c_1429]) ).
tcf(c_65435,plain,
singleton(apply(sK14,sK1(sK14))) = empty_set,
inference(light_normalisation,[status(thm)],[c_65146,c_32751]) ).
tcf(c_65436,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_65435,c_64759]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU055+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n014.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 12:39:17 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 72.61/10.81 % SZS status Started for theBenchmark.p
% 72.61/10.81 % SZS status Theorem for theBenchmark.p
% 72.61/10.81
% 72.61/10.81 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 72.61/10.81
% 72.61/10.81 % ------ iProver source info
% 72.61/10.81
% 72.61/10.81 % git: date: 2026-07-19 20:42:38 +0200
% 72.61/10.81 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 72.61/10.81 % git: non_committed_changes: false
% 72.61/10.81
% 72.61/10.81 % ------ Parsing...
% 72.61/10.81 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 72.61/10.81
% 72.61/10.81 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e %
% 72.61/10.81
% 72.61/10.81 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 72.61/10.81
% 72.61/10.81 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 72.61/10.81 % ------ Proving...
% 72.61/10.81 % ------ Problem Properties
% 72.61/10.81
% 72.61/10.81 %
% 72.61/10.81 % clauses 72
% 72.61/10.81 % conjectures 3
% 72.61/10.81 % EPR 27
% 72.61/10.81 % Horn 62
% 72.61/10.81 % unary 31
% 72.61/10.81 % binary 28
% 72.61/10.81 % lits 132
% 72.61/10.81 % lits eq 34
% 72.61/10.81 % fd_pure 0
% 72.61/10.81 % fd_pseudo 0
% 72.61/10.81 % fd_cond 1
% 72.61/10.81 % fd_pseudo_cond 8
% 72.61/10.81 % AC symbols 0
% 72.61/10.81
% 72.61/10.81 % ------ Input Options Time Limit: Unbounded
% 72.61/10.81
% 72.61/10.81
% 72.61/10.81 % ------
% 72.61/10.81 % Current options:
% 72.61/10.81 % ------
% 72.61/10.81
% 72.61/10.81
% 72.61/10.81 %
% 72.61/10.81
% 72.61/10.81 % ------ Proving...
% 72.61/10.81 %
% 72.61/10.81
% 72.61/10.81 % SZS status Theorem for theBenchmark.p
% 72.61/10.81
% 72.61/10.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 72.61/10.82
% 72.61/10.82
%------------------------------------------------------------------------------