%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU215+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n019.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 02:55:56 PM UTC 2026
% Result : Theorem 2.29s 1.18s
% Output : CNFRefutation 2.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 81 ( 28 unt; 5 def)
% Number of atoms : 359 ( 57 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 372 ( 148 ~; 155 |; 44 &)
% ( 9 <=>; 16 =>; 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 : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 96 ( 0 sgn 90 !; 6 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1,X2] :
( ( ~ in(X1,relation_dom(X0))
=> ( X2 = apply(X0,X1)
<=> X2 = empty_set ) )
& ( in(X1,relation_dom(X0))
=> ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_funct_1) ).
fof(f13,axiom,
! [X0,X1] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f18,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1)
& function(X0)
& relation(X0) )
=> ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f34,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f35,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
=> apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_funct_1) ).
fof(f36,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_1) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f47,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1,X2] :
( ( in(X1,relation_dom(X0))
| ( X2 = apply(X0,X1)
<=> X2 = empty_set ) )
& ( ~ in(X1,relation_dom(X0))
| ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f48,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1,X2] :
( ( in(X1,relation_dom(X0))
| ( X2 = apply(X0,X1)
<=> X2 = empty_set ) )
& ( ~ in(X1,relation_dom(X0))
| ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) ) ) ) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ relation(X0)
| relation(relation_composition(X0,X1)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f50,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ relation(X0)
| relation(relation_composition(X0,X1)) ),
inference(flattening,[],[f49]) ).
fof(f53,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0)
| ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f54,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0)
| ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) ) ),
inference(flattening,[],[f53]) ).
fof(f61,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) ) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f62,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) ) ) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f64,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
? [X0,X1] :
( function(X1)
& relation(X1)
& ? [X2] :
( function(X2)
& relation(X2)
& in(X0,relation_dom(X1))
& apply(relation_composition(X1,X2),X0) != apply(X2,apply(X1,X0)) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f66,plain,
? [X0,X1] :
( function(X1)
& relation(X1)
& ? [X2] :
( function(X2)
& relation(X2)
& in(X0,relation_dom(X1))
& apply(relation_composition(X1,X2),X0) != apply(X2,apply(X1,X0)) ) ),
inference(flattening,[],[f65]) ).
fof(f72,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1,X2] :
( ( in(X1,relation_dom(X0))
| ( ( apply(X0,X1) != X2
| X2 = empty_set )
& ( empty_set != X2
| X2 = apply(X0,X1) ) ) )
& ( ~ in(X1,relation_dom(X0))
| ( ( apply(X0,X1) != X2
| in(ordered_pair(X1,X2),X0) )
& ( ~ in(ordered_pair(X1,X2),X0)
| X2 = apply(X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f80,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ( ( ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) )
& ( ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2))
| in(X0,relation_dom(relation_composition(X2,X1))) ) ) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f81,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ( ( ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) )
& ( ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2))
| in(X0,relation_dom(relation_composition(X2,X1))) ) ) ) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
( function(sK8)
& relation(sK8)
& function(sK9)
& relation(sK9)
& in(sK7,relation_dom(sK8))
& apply(relation_composition(sK8,sK9),sK7) != apply(sK9,apply(sK8,sK7)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9)],[f66]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| in(X1,relation_dom(X0))
| apply(X0,X1) != X2
| empty_set = X2 ),
inference(cnf_transformation,[],[f72]) ).
fof(f92,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ relation(X0)
| relation(relation_composition(X0,X1)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f98,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ function(X0)
| ~ relation(X0)
| function(relation_composition(X0,X1)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2))
| in(X0,relation_dom(relation_composition(X2,X1))) ),
inference(cnf_transformation,[],[f81]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f125,plain,
function(sK8),
inference(cnf_transformation,[],[f82]) ).
fof(f126,plain,
relation(sK8),
inference(cnf_transformation,[],[f82]) ).
fof(f127,plain,
function(sK9),
inference(cnf_transformation,[],[f82]) ).
fof(f128,plain,
relation(sK9),
inference(cnf_transformation,[],[f82]) ).
fof(f129,plain,
in(sK7,relation_dom(sK8)),
inference(cnf_transformation,[],[f82]) ).
fof(f130,plain,
apply(relation_composition(sK8,sK9),sK7) != apply(sK9,apply(sK8,sK7)),
inference(cnf_transformation,[],[f82]) ).
fof(f140,plain,
! [X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| in(X1,relation_dom(X0))
| apply(X0,X1) = empty_set ),
inference(equality_resolution,[],[f87]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( in(X1,relation_dom(X0))
| ( apply(X0,X1) = empty_set )
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( relation(relation_composition(X1,X0))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( function(relation_composition(X1,X0))
| ~ relation(X1)
| ~ relation(X0)
| ~ function(X1)
| ~ function(X0) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X1,relation_dom(relation_composition(X0,X2)))
| ~ relation(X2)
| ~ relation(X0)
| ~ function(X2)
| ~ function(X0)
| ~ in(X1,relation_dom(X0))
| ~ in(apply(X0,X1),relation_dom(X2)) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) )
| ~ relation(X2)
| ~ relation(X1)
| ~ function(X2)
| ~ function(X1)
| ~ in(X0,relation_dom(relation_composition(X1,X2))) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_90,negated_conjecture,
apply(relation_composition(sK8,sK9),sK7) != apply(sK9,apply(sK8,sK7)),
inference(cnf_transformation,[],[f130]) ).
tcf(c_91,negated_conjecture,
in(sK7,relation_dom(sK8)),
inference(cnf_transformation,[],[f129]) ).
tcf(c_92,negated_conjecture,
relation(sK9),
inference(cnf_transformation,[],[f128]) ).
tcf(c_93,negated_conjecture,
function(sK9),
inference(cnf_transformation,[],[f127]) ).
tcf(c_94,negated_conjecture,
relation(sK8),
inference(cnf_transformation,[],[f126]) ).
tcf(c_95,negated_conjecture,
function(sK8),
inference(cnf_transformation,[],[f125]) ).
tcf(c_904,definition,
iPr_def_10 = relation_dom(sK8),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_905,definition,
iPr_def_11 = relation_composition(sK8,sK9),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_906,definition,
iPr_def_12 = apply(iPr_def_11,sK7),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_907,definition,
iPr_def_13 = apply(sK8,sK7),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_908,definition,
iPr_def_14 = apply(sK9,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_909,negated_conjecture,
function(sK8),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_910,negated_conjecture,
relation(sK8),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_911,negated_conjecture,
function(sK9),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_912,negated_conjecture,
relation(sK9),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_913,negated_conjecture,
in(sK7,iPr_def_10),
inference(demodulation,[status(thm)],[c_91,c_904]) ).
tcf(c_914,negated_conjecture,
iPr_def_12 != iPr_def_14,
inference(demodulation,[status(thm)],[c_90,c_907,c_908,c_905,c_906]) ).
tcf(c_1599,plain,
( relation(iPr_def_11)
| ~ relation(sK9)
| ~ relation(sK8) ),
inference(superposition,[status(thm)],[c_905,c_57]) ).
tcf(c_1600,plain,
relation(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_1599,c_912,c_910]) ).
tcf(c_1981,plain,
( function(iPr_def_11)
| ~ relation(sK9)
| ~ relation(sK8)
| ~ function(sK9)
| ~ function(sK8) ),
inference(superposition,[status(thm)],[c_905,c_64]) ).
tcf(c_1984,plain,
function(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_1981,c_912,c_910,c_911,c_909]) ).
tcf(c_2305,plain,
! [X0: $i] :
( in(sK7,relation_dom(relation_composition(sK8,X0)))
| ~ relation(sK8)
| ~ function(sK8)
| ~ relation(X0)
| ~ function(X0)
| ~ in(sK7,relation_dom(sK8))
| ~ in(iPr_def_13,relation_dom(X0)) ),
inference(superposition,[status(thm)],[c_907,c_86]) ).
tcf(c_2322,plain,
! [X0: $i] :
( in(sK7,relation_dom(relation_composition(sK8,X0)))
| ~ relation(sK8)
| ~ function(sK8)
| ~ relation(X0)
| ~ function(X0)
| ~ in(sK7,iPr_def_10)
| ~ in(iPr_def_13,relation_dom(X0)) ),
inference(light_normalisation,[status(thm)],[c_2305,c_904]) ).
tcf(c_2323,plain,
! [X0: $i] :
( in(sK7,relation_dom(relation_composition(sK8,X0)))
| ~ relation(X0)
| ~ function(X0)
| ~ in(iPr_def_13,relation_dom(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2322,c_910,c_909,c_913]) ).
tcf(c_2368,plain,
! [X0: $i] :
( ( apply(relation_composition(sK8,sK9),X0) = apply(sK9,apply(sK8,X0)) )
| ~ relation(sK9)
| ~ relation(sK8)
| ~ function(sK9)
| ~ function(sK8)
| ~ in(X0,relation_dom(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_905,c_89]) ).
tcf(c_2390,plain,
! [X0: $i] :
( ( apply(sK9,apply(sK8,X0)) = apply(iPr_def_11,X0) )
| ~ relation(sK9)
| ~ relation(sK8)
| ~ function(sK9)
| ~ function(sK8)
| ~ in(X0,relation_dom(iPr_def_11)) ),
inference(light_normalisation,[status(thm)],[c_2368,c_905]) ).
tcf(c_2391,plain,
! [X0: $i] :
( ( apply(sK9,apply(sK8,X0)) = apply(iPr_def_11,X0) )
| ~ in(X0,relation_dom(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2390,c_912,c_910,c_911,c_909]) ).
tcf(c_2459,plain,
! [X0: $i] :
( ( apply(iPr_def_11,X0) = empty_set )
| ( apply(sK9,apply(sK8,X0)) = apply(iPr_def_11,X0) )
| ~ relation(iPr_def_11)
| ~ function(iPr_def_11) ),
inference(superposition,[status(thm)],[c_56,c_2391]) ).
tcf(c_2464,plain,
! [X0: $i] :
( ( apply(iPr_def_11,X0) = empty_set )
| ( apply(sK9,apply(sK8,X0)) = apply(iPr_def_11,X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2459,c_1600,c_1984]) ).
tcf(c_2481,plain,
( in(sK7,relation_dom(iPr_def_11))
| ~ relation(sK9)
| ~ function(sK9)
| ~ in(iPr_def_13,relation_dom(sK9)) ),
inference(superposition,[status(thm)],[c_905,c_2323]) ).
tcf(c_2489,plain,
( in(sK7,relation_dom(iPr_def_11))
| ~ in(iPr_def_13,relation_dom(sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2481,c_912,c_911]) ).
tcf(c_2526,plain,
( in(sK7,relation_dom(iPr_def_11))
| ( apply(sK9,iPr_def_13) = empty_set )
| ~ relation(sK9)
| ~ function(sK9) ),
inference(superposition,[status(thm)],[c_56,c_2489]) ).
tcf(c_2527,plain,
( in(sK7,relation_dom(iPr_def_11))
| ( empty_set = iPr_def_14 )
| ~ relation(sK9)
| ~ function(sK9) ),
inference(light_normalisation,[status(thm)],[c_2526,c_908]) ).
tcf(c_2528,plain,
( in(sK7,relation_dom(iPr_def_11))
| ( empty_set = iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2527,c_912,c_911]) ).
tcf(c_2537,plain,
( ( empty_set = iPr_def_14 )
| ( apply(sK9,apply(sK8,sK7)) = apply(iPr_def_11,sK7) ) ),
inference(superposition,[status(thm)],[c_2528,c_2391]) ).
tcf(c_2543,plain,
( ( iPr_def_12 = iPr_def_14 )
| ( empty_set = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_2537,c_906,c_907,c_908]) ).
tcf(c_2544,plain,
empty_set = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_2543,c_914]) ).
tcf(c_2616,plain,
! [X0: $i] :
( ( apply(iPr_def_11,X0) = iPr_def_14 )
| ( apply(sK9,apply(sK8,X0)) = apply(iPr_def_11,X0) ) ),
inference(light_normalisation,[status(thm)],[c_2464,c_2544]) ).
tcf(c_2623,plain,
( ( apply(iPr_def_11,sK7) = iPr_def_14 )
| ( apply(sK9,iPr_def_13) = apply(iPr_def_11,sK7) ) ),
inference(superposition,[status(thm)],[c_907,c_2616]) ).
tcf(c_2626,plain,
iPr_def_12 = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_2623,c_906,c_908]) ).
tcf(c_2627,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2626,c_914]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU215+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n019.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
% 0.11/0.36 % DateTime : Thu Sep 24 13:13:19 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 2.29/1.18 % SZS status Started for theBenchmark.p
% 2.29/1.18 % SZS status Theorem for theBenchmark.p
% 2.29/1.18
% 2.29/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.29/1.18
% 2.29/1.18 % ------ iProver source info
% 2.29/1.18
% 2.29/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 2.29/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.29/1.18 % git: non_committed_changes: false
% 2.29/1.18
% 2.29/1.18 % ------ Parsing...
% 2.29/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.29/1.18
% 2.29/1.18 % ------ Preprocessing... sup_sim: 2 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 %
% 2.29/1.18
% 2.29/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.29/1.18
% 2.29/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.29/1.18 % ------ Proving...
% 2.29/1.18 % ------ Problem Properties
% 2.29/1.18
% 2.29/1.18 %
% 2.29/1.18 % clauses 48
% 2.29/1.18 % conjectures 6
% 2.29/1.18 % EPR 23
% 2.29/1.18 % Horn 46
% 2.29/1.18 % unary 25
% 2.29/1.18 % binary 8
% 2.29/1.18 % lits 105
% 2.29/1.18 % lits eq 12
% 2.29/1.18 % fd_pure 0
% 2.29/1.18 % fd_pseudo 0
% 2.29/1.18 % fd_cond 1
% 2.29/1.18 % fd_pseudo_cond 2
% 2.29/1.18 % AC symbols 0
% 2.29/1.18
% 2.29/1.18 % ------ Schedule dynamic 5 is on
% 2.29/1.18
% 2.29/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.29/1.18
% 2.29/1.18
% 2.29/1.18 % ------
% 2.29/1.18 % Current options:
% 2.29/1.18 % ------
% 2.29/1.18
% 2.29/1.18
% 2.29/1.18 %
% 2.29/1.18
% 2.29/1.18 % ------ Proving...
% 2.29/1.18 %
% 2.29/1.18
% 2.29/1.18 % SZS status Theorem for theBenchmark.p
% 2.29/1.18
% 2.29/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.29/1.18
% 2.29/1.18
%------------------------------------------------------------------------------