%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET995+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.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 02:49:17 PM UTC 2026
% Result : Theorem 2.62s 1.10s
% Output : CNFRefutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 83 ( 38 unt; 5 def)
% Number of atoms : 359 ( 132 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 398 ( 156 ~; 160 |; 63 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 108 ( 0 sgn 89 !; 19 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( X2 = apply(X0,X3)
& in(X3,relation_dom(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f25,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( ( relation_rng(X2) = singleton(X0)
& relation_rng(X1) = singleton(X0)
& relation_dom(X1) = relation_dom(X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_funct_1) ).
fof(f26,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( ( relation_rng(X2) = singleton(X0)
& relation_rng(X1) = singleton(X0)
& relation_dom(X1) = relation_dom(X2) )
=> X1 = X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f35,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( ! [X2] :
( in(X2,relation_dom(X0))
=> apply(X0,X2) = apply(X1,X2) )
& relation_dom(X0) = relation_dom(X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_funct_1) ).
fof(f43,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( X2 = apply(X0,X3)
& in(X3,relation_dom(X0)) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f44,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( X2 = apply(X0,X3)
& in(X3,relation_dom(X0)) ) ) ) ),
inference(flattening,[],[f43]) ).
fof(f52,plain,
? [X0,X1] :
( function(X1)
& relation(X1)
& ? [X2] :
( function(X2)
& relation(X2)
& relation_rng(X2) = singleton(X0)
& relation_rng(X1) = singleton(X0)
& relation_dom(X1) = relation_dom(X2)
& X1 != X2 ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f53,plain,
? [X0,X1] :
( function(X1)
& relation(X1)
& ? [X2] :
( function(X2)
& relation(X2)
& relation_rng(X2) = singleton(X0)
& relation_rng(X1) = singleton(X0)
& relation_dom(X1) = relation_dom(X2)
& X1 != X2 ) ),
inference(flattening,[],[f52]) ).
fof(f64,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( ~ function(X1)
| ~ relation(X1)
| ? [X2] :
( in(X2,relation_dom(X0))
& apply(X0,X2) != apply(X1,X2) )
| relation_dom(X0) != relation_dom(X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f65,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( ~ function(X1)
| ~ relation(X1)
| ? [X2] :
( in(X2,relation_dom(X0))
& apply(X0,X2) != apply(X1,X2) )
| relation_dom(X0) != relation_dom(X1)
| X0 = X1 ) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( ( singleton(X0) != X1
| ! [X2] :
( ( ~ in(X2,X1)
| X2 = X0 )
& ( X0 != X2
| in(X2,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| X2 = X0 )
& ( ~ in(X2,X1)
| X0 != X2 ) )
| X1 = singleton(X0) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f67,plain,
! [X0,X1] :
( ( singleton(X0) != X1
| ! [X3] :
( ( ~ in(X3,X1)
| X0 = X3 )
& ( X0 != X3
| in(X3,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| X2 = X0 )
& ( ~ in(X2,X1)
| X0 != X2 ) )
| X1 = singleton(X0) ) ),
inference(rectify,[],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( ( singleton(X0) != X1
| ! [X3] :
( ( ~ in(X3,X1)
| X0 = X3 )
& ( X0 != X3
| in(X3,X1) ) ) )
& ( ( ( in(sK0(X0,X1),X1)
| sK0(X0,X1) = X0 )
& ( ~ in(sK0(X0,X1),X1)
| sK0(X0,X1) != X0 ) )
| X1 = singleton(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f67]) ).
fof(f69,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X2] :
( ( ~ in(X2,X1)
| ? [X3] :
( X2 = apply(X0,X3)
& in(X3,relation_dom(X0)) ) )
& ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| in(X2,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X3] :
( X2 = apply(X0,X3)
& in(X3,relation_dom(X0)) ) )
& ( ~ in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) ) )
| X1 = relation_rng(X0) ) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f70,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) ) )
& ( ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) )
| in(X5,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) ) )
& ( ~ in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) ) )
| X1 = relation_rng(X0) ) ) ),
inference(rectify,[],[f69]) ).
fof(f71,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| ( apply(X0,sK3(X0,X5)) = X5
& in(sK3(X0,X5),relation_dom(X0)) ) )
& ( ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) )
| in(X5,X1) ) ) )
& ( ( ( in(sK1(X0,X1),X1)
| ( sK1(X0,X1) = apply(X0,sK2(X0,X1))
& in(sK2(X0,X1),relation_dom(X0)) ) )
& ( ~ in(sK1(X0,X1),X1)
| ! [X3] :
( apply(X0,X3) != sK1(X0,X1)
| ~ in(X3,relation_dom(X0)) ) ) )
| X1 = relation_rng(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X2,sK1(X0,X1)),skolemize(X4,sK2(X0,X1)),skolemize(X7,sK3(X0,X5))],[f70]) ).
fof(f81,plain,
( function(sK14)
& relation(sK14)
& function(sK15)
& relation(sK15)
& singleton(sK13) = relation_rng(sK15)
& singleton(sK13) = relation_rng(sK14)
& relation_dom(sK14) = relation_dom(sK15)
& sK14 != sK15 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15)],[f53]) ).
fof(f82,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( ~ function(X1)
| ~ relation(X1)
| ( in(sK16(X0,X1),relation_dom(X0))
& apply(X0,sK16(X0,X1)) != apply(X1,sK16(X0,X1)) )
| relation_dom(X0) != relation_dom(X1)
| X0 = X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X0,X1))],[f65]) ).
fof(f86,plain,
! [X3,X0,X1] :
( singleton(X0) != X1
| ~ in(X3,X1)
| X0 = X3 ),
inference(cnf_transformation,[],[f68]) ).
fof(f92,plain,
! [X0,X1,X6,X5] :
( ~ function(X0)
| ~ relation(X0)
| relation_rng(X0) != X1
| apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0))
| in(X5,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f124,plain,
function(sK14),
inference(cnf_transformation,[],[f81]) ).
fof(f125,plain,
relation(sK14),
inference(cnf_transformation,[],[f81]) ).
fof(f126,plain,
function(sK15),
inference(cnf_transformation,[],[f81]) ).
fof(f127,plain,
relation(sK15),
inference(cnf_transformation,[],[f81]) ).
fof(f128,plain,
singleton(sK13) = relation_rng(sK15),
inference(cnf_transformation,[],[f81]) ).
fof(f129,plain,
singleton(sK13) = relation_rng(sK14),
inference(cnf_transformation,[],[f81]) ).
fof(f130,plain,
relation_dom(sK14) = relation_dom(sK15),
inference(cnf_transformation,[],[f81]) ).
fof(f131,plain,
sK14 != sK15,
inference(cnf_transformation,[],[f81]) ).
fof(f140,plain,
! [X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| ~ function(X1)
| ~ relation(X1)
| in(sK16(X0,X1),relation_dom(X0))
| relation_dom(X0) != relation_dom(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f82]) ).
fof(f141,plain,
! [X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| ~ function(X1)
| ~ relation(X1)
| apply(X0,sK16(X0,X1)) != apply(X1,sK16(X0,X1))
| relation_dom(X0) != relation_dom(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f82]) ).
fof(f144,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f86]) ).
fof(f145,plain,
! [X0,X1,X6] :
( ~ function(X0)
| ~ relation(X0)
| relation_rng(X0) != X1
| ~ in(X6,relation_dom(X0))
| in(apply(X0,X6),X1) ),
inference(equality_resolution,[],[f92]) ).
fof(f146,plain,
! [X0,X6] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X6,relation_dom(X0))
| in(apply(X0,X6),relation_rng(X0)) ),
inference(equality_resolution,[],[f145]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ in(X0,singleton(X1)) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( in(apply(X1,X0),relation_rng(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,relation_dom(X1)) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_90,negated_conjecture,
sK14 != sK15,
inference(cnf_transformation,[],[f131]) ).
tcf(c_91,negated_conjecture,
relation_dom(sK14) = relation_dom(sK15),
inference(cnf_transformation,[],[f130]) ).
tcf(c_92,negated_conjecture,
singleton(sK13) = relation_rng(sK14),
inference(cnf_transformation,[],[f129]) ).
tcf(c_93,negated_conjecture,
singleton(sK13) = relation_rng(sK15),
inference(cnf_transformation,[],[f128]) ).
tcf(c_94,negated_conjecture,
relation(sK15),
inference(cnf_transformation,[],[f127]) ).
tcf(c_95,negated_conjecture,
function(sK15),
inference(cnf_transformation,[],[f126]) ).
tcf(c_96,negated_conjecture,
relation(sK14),
inference(cnf_transformation,[],[f125]) ).
tcf(c_97,negated_conjecture,
function(sK14),
inference(cnf_transformation,[],[f124]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ relation(X1)
| ~ relation(X0)
| ~ function(X1)
| ~ function(X0)
| ( relation_dom(X0) != relation_dom(X1) )
| ( apply(X0,sK16(X0,X1)) != apply(X1,sK16(X0,X1)) ) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i] :
( in(sK16(X0,X1),relation_dom(X0))
| ( X0 = X1 )
| ~ relation(X1)
| ~ relation(X0)
| ~ function(X1)
| ~ function(X0)
| ( relation_dom(X0) != relation_dom(X1) ) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_382,plain,
relation_rng(sK14) = relation_rng(sK15),
inference(demodulation,[status(thm)],[c_93,c_92]) ).
tcf(c_1012,definition,
iPr_def_10 = relation_rng(sK14),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1013,definition,
iPr_def_11 = relation_rng(sK15),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1014,definition,
iPr_def_12 = singleton(sK13),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_1015,definition,
iPr_def_13 = relation_dom(sK14),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1016,definition,
iPr_def_14 = relation_dom(sK15),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1017,plain,
iPr_def_10 = iPr_def_11,
inference(demodulation,[status(thm)],[c_382,c_1013,c_1012]) ).
tcf(c_1018,negated_conjecture,
function(sK14),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_1019,negated_conjecture,
relation(sK14),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_1020,negated_conjecture,
function(sK15),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_1021,negated_conjecture,
relation(sK15),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_1022,negated_conjecture,
iPr_def_12 = iPr_def_10,
inference(demodulation,[status(thm)],[c_92,c_1014]) ).
tcf(c_1023,negated_conjecture,
iPr_def_13 = iPr_def_14,
inference(demodulation,[status(thm)],[c_91,c_1016,c_1015]) ).
tcf(c_1024,negated_conjecture,
sK14 != sK15,
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_1653,plain,
relation_rng(sK15) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1013,c_1017]) ).
tcf(c_1670,plain,
singleton(sK13) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1014,c_1022]) ).
tcf(c_1673,plain,
relation_dom(sK15) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_1016,c_1023]) ).
tcf(c_1819,plain,
! [X0: $i] :
( ( X0 = sK13 )
| ~ in(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_1670,c_55]) ).
tcf(c_2079,plain,
! [X0: $i] :
( in(apply(sK14,X0),iPr_def_10)
| ~ relation(sK14)
| ~ function(sK14)
| ~ in(X0,relation_dom(sK14)) ),
inference(superposition,[status(thm)],[c_1012,c_59]) ).
tcf(c_2080,plain,
! [X0: $i] :
( in(apply(sK15,X0),iPr_def_10)
| ~ relation(sK15)
| ~ function(sK15)
| ~ in(X0,relation_dom(sK15)) ),
inference(superposition,[status(thm)],[c_1653,c_59]) ).
tcf(c_2088,plain,
! [X0: $i] :
( in(apply(sK15,X0),iPr_def_10)
| ~ relation(sK15)
| ~ function(sK15)
| ~ in(X0,iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_2080,c_1673]) ).
tcf(c_2089,plain,
! [X0: $i] :
( in(apply(sK15,X0),iPr_def_10)
| ~ in(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2088,c_1021,c_1020]) ).
tcf(c_2092,plain,
! [X0: $i] :
( in(apply(sK14,X0),iPr_def_10)
| ~ relation(sK14)
| ~ function(sK14)
| ~ in(X0,iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_2079,c_1015]) ).
tcf(c_2093,plain,
! [X0: $i] :
( in(apply(sK14,X0),iPr_def_10)
| ~ in(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2092,c_1019,c_1018]) ).
tcf(c_2203,plain,
! [X0: $i] :
( ( apply(sK15,X0) = sK13 )
| ~ in(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2089,c_1819]) ).
tcf(c_2222,plain,
! [X0: $i] :
( ( apply(sK14,X0) = sK13 )
| ~ in(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_2093,c_1819]) ).
tcf(c_2539,plain,
! [X0: $i] :
( in(sK16(sK14,X0),relation_dom(sK14))
| ( X0 = sK14 )
| ~ relation(sK14)
| ~ function(sK14)
| ~ relation(X0)
| ~ function(X0)
| ( relation_dom(X0) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1015,c_107]) ).
tcf(c_2578,plain,
! [X0: $i] :
( in(sK16(sK14,X0),iPr_def_13)
| ( X0 = sK14 )
| ~ relation(sK14)
| ~ function(sK14)
| ~ relation(X0)
| ~ function(X0)
| ( relation_dom(X0) != iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_2539,c_1015]) ).
tcf(c_2579,plain,
! [X0: $i] :
( in(sK16(sK14,X0),iPr_def_13)
| ( X0 = sK14 )
| ~ relation(X0)
| ~ function(X0)
| ( relation_dom(X0) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2578,c_1019,c_1018]) ).
tcf(c_2919,plain,
( in(sK16(sK14,sK15),iPr_def_13)
| ( sK14 = sK15 )
| ~ relation(sK15)
| ~ function(sK15) ),
inference(superposition,[status(thm)],[c_1673,c_2579]) ).
tcf(c_2921,plain,
in(sK16(sK14,sK15),iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_2919,c_1024,c_1021,c_1020]) ).
tcf(c_3132,plain,
apply(sK15,sK16(sK14,sK15)) = sK13,
inference(superposition,[status(thm)],[c_2921,c_2203]) ).
tcf(c_3490,plain,
( ( sK14 = sK15 )
| ~ relation(sK15)
| ~ relation(sK14)
| ~ function(sK15)
| ~ function(sK14)
| ( relation_dom(sK14) != relation_dom(sK15) )
| ( apply(sK14,sK16(sK14,sK15)) != sK13 ) ),
inference(superposition,[status(thm)],[c_3132,c_106]) ).
tcf(c_3497,plain,
( ( sK14 = sK15 )
| ~ relation(sK15)
| ~ relation(sK14)
| ~ function(sK15)
| ~ function(sK14)
| ( apply(sK14,sK16(sK14,sK15)) != sK13 ) ),
inference(ground_joinability,[status(thm)],[c_3490,c_1015,c_1673]) ).
tcf(c_3498,plain,
apply(sK14,sK16(sK14,sK15)) != sK13,
inference(forward_subsumption_resolution,[status(thm)],[c_3497,c_1024,c_1021,c_1019,c_1020,c_1018]) ).
tcf(c_3690,plain,
apply(sK14,sK16(sK14,sK15)) = sK13,
inference(superposition,[status(thm)],[c_2921,c_2222]) ).
tcf(c_3691,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3690,c_3498]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET995+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Thu Sep 24 12:31:50 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 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
% 0.03/0.33
% 0.03/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.33
% 0.03/0.33 % Detected problem language: tptp
% 0.08/0.34 % Proving...
% 2.62/1.10 % SZS status Started for theBenchmark.p
% 2.62/1.10 % SZS status Theorem for theBenchmark.p
% 2.62/1.10
% 2.62/1.10 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.62/1.10
% 2.62/1.10 % ------ iProver source info
% 2.62/1.10
% 2.62/1.10 % git: date: 2026-07-19 20:42:38 +0200
% 2.62/1.10 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.62/1.10 % git: non_committed_changes: false
% 2.62/1.10
% 2.62/1.10 % ------ Parsing...
% 2.62/1.10 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.62/1.10
% 2.62/1.10 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.62/1.10
% 2.62/1.10 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.62/1.10
% 2.62/1.10 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.62/1.10 % ------ Proving...
% 2.62/1.10 % ------ Problem Properties
% 2.62/1.10
% 2.62/1.10 %
% 2.62/1.10 % clauses 60
% 2.62/1.10 % conjectures 7
% 2.62/1.10 % EPR 27
% 2.62/1.10 % Horn 54
% 2.62/1.10 % unary 31
% 2.62/1.10 % binary 13
% 2.62/1.10 % lits 123
% 2.62/1.10 % lits eq 27
% 2.62/1.10 % fd_pure 0
% 2.62/1.10 % fd_pseudo 0
% 2.62/1.10 % fd_cond 1
% 2.62/1.10 % fd_pseudo_cond 8
% 2.62/1.10 % AC symbols 0
% 2.62/1.10
% 2.62/1.10 % ------ Schedule dynamic 5 is on
% 2.62/1.10
% 2.62/1.10 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.62/1.10
% 2.62/1.10
% 2.62/1.10 % ------
% 2.62/1.10 % Current options:
% 2.62/1.10 % ------
% 2.62/1.10
% 2.62/1.10
% 2.62/1.10 %
% 2.62/1.10
% 2.62/1.10 % ------ Proving...
% 2.62/1.10 %
% 2.62/1.10
% 2.62/1.10 % SZS status Theorem for theBenchmark.p
% 2.62/1.10
% 2.62/1.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.62/1.10
% 2.62/1.10
%------------------------------------------------------------------------------