%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU185+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.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 02:55:48 PM UTC 2026
% Result : Theorem 53.21s 14.62s
% Output : CNFRefutation 53.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 119 ( 19 unt; 0 def)
% Number of atoms : 473 ( 63 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 616 ( 262 ~; 270 |; 56 &)
% ( 14 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 4 con; 0-4 aty)
% Number of variables : 285 ( 0 sgn 252 !; 33 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f7,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f8,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( X2 = relation_composition(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_1) ).
fof(f16,axiom,
! [X0,X1] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f20,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f24,axiom,
? [X0] :
( relation(X0)
& empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f34,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_dom(X0),relation_rng(X1))
=> relation_rng(relation_composition(X1,X0)) = relation_rng(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_relat_1) ).
fof(f35,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_dom(X0),relation_rng(X1))
=> relation_rng(relation_composition(X1,X0)) = relation_rng(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f34]) ).
fof(f38,axiom,
! [X0] :
( empty(X0)
=> X0 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f39,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f40,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f43,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f44,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f45,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f46,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ( X2 = relation_composition(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) ) ) ) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f47,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ relation(X0)
| relation(relation_composition(X0,X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f48,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ relation(X0)
| relation(relation_composition(X0,X1)) ),
inference(flattening,[],[f47]) ).
fof(f54,plain,
? [X0] :
( relation(X0)
& ? [X1] :
( relation(X1)
& subset(relation_dom(X0),relation_rng(X1))
& relation_rng(X0) != relation_rng(relation_composition(X1,X0)) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f55,plain,
? [X0] :
( relation(X0)
& ? [X1] :
( relation(X1)
& subset(relation_dom(X0),relation_rng(X1))
& relation_rng(X0) != relation_rng(relation_composition(X1,X0)) ) ),
inference(flattening,[],[f54]) ).
fof(f59,plain,
! [X0] :
( ~ empty(X0)
| X0 = empty_set ),
inference(ennf_transformation,[],[f38]) ).
fof(f60,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f61,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f64,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) )
& ( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
| subset(X0,X1) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f65,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) ) )
& ( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
| subset(X0,X1) ) ),
inference(rectify,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) ) )
& ( ( in(sK0(X0,X1),X0)
& ~ in(sK0(X0,X1),X1) )
| subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f65]) ).
fof(f67,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_dom(X0) != X1
| ! [X2] :
( ( ~ in(X2,X1)
| ? [X3] : in(ordered_pair(X2,X3),X0) )
& ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X3] : in(ordered_pair(X2,X3),X0) )
& ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) ) )
| X1 = relation_dom(X0) ) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f68,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_dom(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| ? [X7] : in(ordered_pair(X5,X7),X0) )
& ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
| in(X5,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X4] : in(ordered_pair(X2,X4),X0) )
& ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) ) )
| X1 = relation_dom(X0) ) ) ),
inference(rectify,[],[f67]) ).
fof(f69,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_dom(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| in(ordered_pair(X5,sK3(X0,X5)),X0) )
& ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
| in(X5,X1) ) ) )
& ( ( ( in(sK1(X0,X1),X1)
| in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0) )
& ( ~ in(sK1(X0,X1),X1)
| ! [X3] : ~ in(ordered_pair(sK1(X0,X1),X3),X0) ) )
| X1 = relation_dom(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))],[f68]) ).
fof(f70,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X2] :
( ( ~ in(X2,X1)
| ? [X3] : in(ordered_pair(X3,X2),X0) )
& ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X3] : in(ordered_pair(X3,X2),X0) )
& ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) ) )
| X1 = relation_rng(X0) ) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f71,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| ? [X7] : in(ordered_pair(X7,X5),X0) )
& ( ! [X6] : ~ in(ordered_pair(X6,X5),X0)
| in(X5,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X4] : in(ordered_pair(X4,X2),X0) )
& ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) ) )
| X1 = relation_rng(X0) ) ) ),
inference(rectify,[],[f70]) ).
fof(f72,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| in(ordered_pair(sK6(X0,X5),X5),X0) )
& ( ! [X6] : ~ in(ordered_pair(X6,X5),X0)
| in(X5,X1) ) ) )
& ( ( ( in(sK4(X0,X1),X1)
| in(ordered_pair(sK5(X0,X1),sK4(X0,X1)),X0) )
& ( ~ in(sK4(X0,X1),X1)
| ! [X3] : ~ in(ordered_pair(X3,sK4(X0,X1)),X0) ) )
| X1 = relation_rng(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X2,sK4(X0,X1)),skolemize(X4,sK5(X0,X1)),skolemize(X7,sK6(X0,X5))],[f71]) ).
fof(f73,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ( ( relation_composition(X0,X1) != X2
| ! [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X2)
| ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) ) )
& ( ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ? [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) ) )
& ( ~ in(ordered_pair(X3,X4),X2)
| ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) ) ) )
| X2 = relation_composition(X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f74,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ( ( relation_composition(X0,X1) != X2
| ! [X7,X8] :
( ( ~ in(ordered_pair(X7,X8),X2)
| ? [X10] :
( in(ordered_pair(X10,X8),X1)
& in(ordered_pair(X7,X10),X0) ) )
& ( ! [X9] :
( ~ in(ordered_pair(X9,X8),X1)
| ~ in(ordered_pair(X7,X9),X0) )
| in(ordered_pair(X7,X8),X2) ) ) )
& ( ? [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ? [X6] :
( in(ordered_pair(X6,X4),X1)
& in(ordered_pair(X3,X6),X0) ) )
& ( ~ in(ordered_pair(X3,X4),X2)
| ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) ) ) )
| X2 = relation_composition(X0,X1) ) ) ) ) ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ( ( relation_composition(X0,X1) != X2
| ! [X7,X8] :
( ( ~ in(ordered_pair(X7,X8),X2)
| ( in(ordered_pair(sK10(X0,X1,X7,X8),X8),X1)
& in(ordered_pair(X7,sK10(X0,X1,X7,X8)),X0) ) )
& ( ! [X9] :
( ~ in(ordered_pair(X9,X8),X1)
| ~ in(ordered_pair(X7,X9),X0) )
| in(ordered_pair(X7,X8),X2) ) ) )
& ( ( ( in(ordered_pair(sK7(X0,X1,X2),sK8(X0,X1,X2)),X2)
| ( in(ordered_pair(sK9(X0,X1,X2),sK8(X0,X1,X2)),X1)
& in(ordered_pair(sK7(X0,X1,X2),sK9(X0,X1,X2)),X0) ) )
& ( ~ in(ordered_pair(sK7(X0,X1,X2),sK8(X0,X1,X2)),X2)
| ! [X5] :
( ~ in(ordered_pair(X5,sK8(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK7(X0,X1,X2),X5),X0) ) ) )
| X2 = relation_composition(X0,X1) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10]),skolemize(X3,sK7(X0,X1,X2)),skolemize(X4,sK8(X0,X1,X2)),skolemize(X6,sK9(X0,X1,X2)),skolemize(X10,sK10(X0,X1,X7,X8))],[f74]) ).
fof(f77,plain,
( relation(sK12)
& empty(sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X0,sK12)],[f24]) ).
fof(f83,plain,
( relation(sK17)
& relation(sK18)
& subset(relation_dom(sK17),relation_rng(sK18))
& relation_rng(sK17) != relation_rng(relation_composition(sK18,sK17)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18]),skolemize(X0,sK17),skolemize(X1,sK18)],[f55]) ).
fof(f89,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f93,plain,
! [X0,X1,X6,X5] :
( ~ relation(X0)
| relation_dom(X0) != X1
| ~ in(ordered_pair(X5,X6),X0)
| in(X5,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f96,plain,
! [X0,X1,X5] :
( ~ relation(X0)
| relation_rng(X0) != X1
| ~ in(X5,X1)
| in(ordered_pair(sK6(X0,X5),X5),X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f97,plain,
! [X0,X1,X6,X5] :
( ~ relation(X0)
| relation_rng(X0) != X1
| ~ in(ordered_pair(X6,X5),X0)
| in(X5,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f98,plain,
! [X0,X1] :
( ~ relation(X0)
| in(sK4(X0,X1),X1)
| in(ordered_pair(sK5(X0,X1),sK4(X0,X1)),X0)
| relation_rng(X0) = X1 ),
inference(cnf_transformation,[],[f72]) ).
fof(f99,plain,
! [X3,X0,X1] :
( ~ relation(X0)
| ~ in(sK4(X0,X1),X1)
| ~ in(ordered_pair(X3,sK4(X0,X1)),X0)
| relation_rng(X0) = X1 ),
inference(cnf_transformation,[],[f72]) ).
fof(f100,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f101,plain,
! [X2,X0,X1,X8,X7] :
( ~ relation(X0)
| ~ relation(X1)
| ~ relation(X2)
| relation_composition(X0,X1) != X2
| ~ in(ordered_pair(X7,X8),X2)
| in(ordered_pair(sK10(X0,X1,X7,X8),X8),X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f103,plain,
! [X2,X0,X1,X8,X9,X7] :
( ~ relation(X0)
| ~ relation(X1)
| ~ relation(X2)
| relation_composition(X0,X1) != X2
| ~ in(ordered_pair(X9,X8),X1)
| ~ in(ordered_pair(X7,X9),X0)
| in(ordered_pair(X7,X8),X2) ),
inference(cnf_transformation,[],[f75]) ).
fof(f107,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ relation(X0)
| relation(relation_composition(X0,X1)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f110,plain,
empty(empty_set),
inference(cnf_transformation,[],[f20]) ).
fof(f114,plain,
relation(sK12),
inference(cnf_transformation,[],[f77]) ).
fof(f115,plain,
empty(sK12),
inference(cnf_transformation,[],[f77]) ).
fof(f128,plain,
relation(sK17),
inference(cnf_transformation,[],[f83]) ).
fof(f129,plain,
relation(sK18),
inference(cnf_transformation,[],[f83]) ).
fof(f130,plain,
subset(relation_dom(sK17),relation_rng(sK18)),
inference(cnf_transformation,[],[f83]) ).
fof(f131,plain,
relation_rng(sK17) != relation_rng(relation_composition(sK18,sK17)),
inference(cnf_transformation,[],[f83]) ).
fof(f134,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f59]) ).
fof(f135,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f136,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f139,plain,
! [X0,X1,X6,X5] :
( ~ relation(X0)
| relation_dom(X0) != X1
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| in(X5,X1) ),
inference(definition_unfolding,[],[f93,f100]) ).
fof(f141,plain,
! [X3,X0,X1] :
( ~ relation(X0)
| ~ in(sK4(X0,X1),X1)
| ~ in(unordered_pair(unordered_pair(X3,sK4(X0,X1)),singleton(X3)),X0)
| relation_rng(X0) = X1 ),
inference(definition_unfolding,[],[f99,f100]) ).
fof(f142,plain,
! [X0,X1] :
( ~ relation(X0)
| in(sK4(X0,X1),X1)
| in(unordered_pair(unordered_pair(sK5(X0,X1),sK4(X0,X1)),singleton(sK5(X0,X1))),X0)
| relation_rng(X0) = X1 ),
inference(definition_unfolding,[],[f98,f100]) ).
fof(f143,plain,
! [X0,X1,X6,X5] :
( ~ relation(X0)
| relation_rng(X0) != X1
| ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| in(X5,X1) ),
inference(definition_unfolding,[],[f97,f100]) ).
fof(f144,plain,
! [X0,X1,X5] :
( ~ relation(X0)
| relation_rng(X0) != X1
| ~ in(X5,X1)
| in(unordered_pair(unordered_pair(sK6(X0,X5),X5),singleton(sK6(X0,X5))),X0) ),
inference(definition_unfolding,[],[f96,f100]) ).
fof(f148,plain,
! [X2,X0,X1,X8,X9,X7] :
( ~ relation(X0)
| ~ relation(X1)
| ~ relation(X2)
| relation_composition(X0,X1) != X2
| ~ in(unordered_pair(unordered_pair(X9,X8),singleton(X9)),X1)
| ~ in(unordered_pair(unordered_pair(X7,X9),singleton(X7)),X0)
| in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),X2) ),
inference(definition_unfolding,[],[f103,f100,f100,f100]) ).
fof(f150,plain,
! [X2,X0,X1,X8,X7] :
( ~ relation(X0)
| ~ relation(X1)
| ~ relation(X2)
| relation_composition(X0,X1) != X2
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),X2)
| in(unordered_pair(unordered_pair(sK10(X0,X1,X7,X8),X8),singleton(sK10(X0,X1,X7,X8))),X1) ),
inference(definition_unfolding,[],[f101,f100,f100]) ).
fof(f154,plain,
! [X0,X6,X5] :
( ~ relation(X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| in(X5,relation_dom(X0)) ),
inference(equality_resolution,[],[f139]) ).
fof(f156,plain,
! [X0,X6,X5] :
( ~ relation(X0)
| ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| in(X5,relation_rng(X0)) ),
inference(equality_resolution,[],[f143]) ).
fof(f157,plain,
! [X0,X5] :
( ~ relation(X0)
| ~ in(X5,relation_rng(X0))
| in(unordered_pair(unordered_pair(sK6(X0,X5),X5),singleton(sK6(X0,X5))),X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f158,plain,
! [X0,X1,X8,X9,X7] :
( ~ relation(X0)
| ~ relation(X1)
| ~ relation(relation_composition(X0,X1))
| ~ in(unordered_pair(unordered_pair(X9,X8),singleton(X9)),X1)
| ~ in(unordered_pair(unordered_pair(X7,X9),singleton(X7)),X0)
| in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1)) ),
inference(equality_resolution,[],[f148]) ).
fof(f160,plain,
! [X0,X1,X8,X7] :
( ~ relation(X0)
| ~ relation(X1)
| ~ relation(relation_composition(X0,X1))
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| in(unordered_pair(unordered_pair(sK10(X0,X1,X7,X8),X8),singleton(sK10(X0,X1,X7,X8))),X1) ),
inference(equality_resolution,[],[f150]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,X2)
| ~ subset(X1,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relation_rng(X1) = X2 )
| ~ relation(X1)
| ~ in(sK4(X1,X2),X2)
| ~ in(unordered_pair(unordered_pair(X0,sK4(X1,X2)),singleton(X0)),X1) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( in(sK4(X0,X1),X1)
| in(unordered_pair(unordered_pair(sK5(X0,X1),sK4(X0,X1)),singleton(sK5(X0,X1))),X0)
| ( relation_rng(X0) = X1 )
| ~ relation(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( in(unordered_pair(unordered_pair(sK6(X1,X0),X0),singleton(sK6(X1,X0))),X1)
| ~ relation(X1)
| ~ in(X0,relation_rng(X1)) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( in(unordered_pair(unordered_pair(X0,X3),singleton(X0)),relation_composition(X2,X4))
| ~ relation(X4)
| ~ relation(X2)
| ~ relation(relation_composition(X2,X4))
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X4)
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(unordered_pair(unordered_pair(sK10(X2,X3,X0,X1),X1),singleton(sK10(X2,X3,X0,X1))),X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(relation_composition(X2,X3))
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_composition(X2,X3)) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( relation(relation_composition(X1,X0))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_74,plain,
empty(empty_set),
inference(cnf_transformation,[],[f110]) ).
tcf(c_78,plain,
empty(sK12),
inference(cnf_transformation,[],[f115]) ).
tcf(c_79,plain,
relation(sK12),
inference(cnf_transformation,[],[f114]) ).
tcf(c_92,negated_conjecture,
relation_rng(relation_composition(sK18,sK17)) != relation_rng(sK17),
inference(cnf_transformation,[],[f131]) ).
tcf(c_93,negated_conjecture,
subset(relation_dom(sK17),relation_rng(sK18)),
inference(cnf_transformation,[],[f130]) ).
tcf(c_94,negated_conjecture,
relation(sK18),
inference(cnf_transformation,[],[f129]) ).
tcf(c_95,negated_conjecture,
relation(sK17),
inference(cnf_transformation,[],[f128]) ).
tcf(c_98,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ empty(X0) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ empty(X1)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i] :
( relation(X0)
| ~ relation(X1)
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_199,plain,
! [X0: $i,X1: $i] :
( in(sK4(X0,relation_rng(X1)),relation_rng(X1))
| in(unordered_pair(unordered_pair(sK5(X0,relation_rng(X1)),sK4(X0,relation_rng(X1))),singleton(sK5(X0,relation_rng(X1)))),X0)
| ( relation_rng(X0) = relation_rng(X1) )
| ~ relation(X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_200,plain,
! [X0: $i,X1: $i] :
( in(unordered_pair(unordered_pair(sK6(X1,sK4(X0,relation_rng(X1))),sK4(X0,relation_rng(X1))),singleton(sK6(X1,sK4(X0,relation_rng(X1))))),X1)
| ~ relation(X1)
| ~ in(sK4(X0,relation_rng(X1)),relation_rng(X1)) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_337,plain,
! [X0: $i,X1: $i] :
( relation(X1)
| ~ empty(X1)
| ~ empty(X0)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[c_170,c_100]) ).
tcf(c_338,plain,
! [X0: $i] :
( relation(X0)
| ~ relation(empty_set)
| ~ empty(X0) ),
inference(resolution,[status(thm)],[c_170,c_98]) ).
tcf(c_611,plain,
! [X0: $i] :
( relation(empty_set)
| ~ empty(X0)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[c_337,c_74]) ).
tcf(c_618,plain,
( in(sK4(relation_composition(sK18,sK17),relation_rng(sK17)),relation_rng(sK17))
| in(unordered_pair(unordered_pair(sK5(relation_composition(sK18,sK17),relation_rng(sK17)),sK4(relation_composition(sK18,sK17),relation_rng(sK17))),singleton(sK5(relation_composition(sK18,sK17),relation_rng(sK17)))),relation_composition(sK18,sK17))
| ( relation_rng(relation_composition(sK18,sK17)) = relation_rng(sK17) )
| ~ relation(relation_composition(sK18,sK17)) ),
inference(instantiation,[status(thm)],[c_199]) ).
tcf(c_643,plain,
( relation(empty_set)
| ~ relation(sK12) ),
inference(resolution,[status(thm)],[c_611,c_78]) ).
tcf(c_813,plain,
( in(unordered_pair(unordered_pair(sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17))),sK4(relation_composition(sK18,sK17),relation_rng(sK17))),singleton(sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17))))),sK17)
| ~ relation(sK17)
| ~ in(sK4(relation_composition(sK18,sK17),relation_rng(sK17)),relation_rng(sK17)) ),
inference(instantiation,[status(thm)],[c_200]) ).
tcf(c_1104,plain,
( relation(relation_composition(sK18,sK17))
| ~ relation(sK18)
| ~ relation(sK17) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_1586,plain,
! [X0: $i,X1: $i] :
( ~ empty(X0)
| ~ in(unordered_pair(unordered_pair(sK5(X0,X1),sK4(X0,X1)),singleton(sK5(X0,X1))),X0) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_1609,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(unordered_pair(unordered_pair(sK10(X0,X1,sK5(relation_composition(X0,X1),X2),sK4(relation_composition(X0,X1),X2)),sK4(relation_composition(X0,X1),X2)),singleton(sK10(X0,X1,sK5(relation_composition(X0,X1),X2),sK4(relation_composition(X0,X1),X2)))),X1)
| ~ relation(X1)
| ~ relation(X0)
| ~ relation(relation_composition(X0,X1))
| ~ in(unordered_pair(unordered_pair(sK5(relation_composition(X0,X1),X2),sK4(relation_composition(X0,X1),X2)),singleton(sK5(relation_composition(X0,X1),X2))),relation_composition(X0,X1)) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_3932,plain,
! [X0: $i,X1: $i] :
( in(sK4(X0,X1),X1)
| ( relation_rng(X0) = X1 )
| ~ empty(X0)
| ~ relation(X0) ),
inference(resolution,[status(thm)],[c_62,c_99]) ).
tcf(c_4784,plain,
( in(unordered_pair(unordered_pair(sK10(sK18,sK17,sK5(relation_composition(sK18,sK17),relation_rng(sK17)),sK4(relation_composition(sK18,sK17),relation_rng(sK17))),sK4(relation_composition(sK18,sK17),relation_rng(sK17))),singleton(sK10(sK18,sK17,sK5(relation_composition(sK18,sK17),relation_rng(sK17)),sK4(relation_composition(sK18,sK17),relation_rng(sK17))))),sK17)
| ~ relation(sK18)
| ~ relation(sK17)
| ~ relation(relation_composition(sK18,sK17))
| ~ in(unordered_pair(unordered_pair(sK5(relation_composition(sK18,sK17),relation_rng(sK17)),sK4(relation_composition(sK18,sK17),relation_rng(sK17))),singleton(sK5(relation_composition(sK18,sK17),relation_rng(sK17)))),relation_composition(sK18,sK17)) ),
inference(instantiation,[status(thm)],[c_1609]) ).
tcf(c_5073,plain,
( in(sK4(relation_composition(sK18,sK17),relation_rng(sK17)),relation_rng(sK17))
| ~ relation(sK17)
| ~ in(unordered_pair(unordered_pair(sK10(sK18,sK17,sK5(relation_composition(sK18,sK17),relation_rng(sK17)),sK4(relation_composition(sK18,sK17),relation_rng(sK17))),sK4(relation_composition(sK18,sK17),relation_rng(sK17))),singleton(sK10(sK18,sK17,sK5(relation_composition(sK18,sK17),relation_rng(sK17)),sK4(relation_composition(sK18,sK17),relation_rng(sK17))))),sK17) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_5176,plain,
( in(sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17))),relation_dom(sK17))
| ~ relation(sK17)
| ~ in(unordered_pair(unordered_pair(sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17))),sK4(relation_composition(sK18,sK17),relation_rng(sK17))),singleton(sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17))))),sK17) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_5177,plain,
! [X0: $i,X1: $i] :
( in(unordered_pair(unordered_pair(X0,sK4(relation_composition(sK18,sK17),relation_rng(sK17))),singleton(X0)),relation_composition(X1,sK17))
| ~ relation(sK17)
| ~ relation(X1)
| ~ relation(relation_composition(X1,sK17))
| ~ in(unordered_pair(unordered_pair(X0,sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17)))),singleton(X0)),X1)
| ~ in(unordered_pair(unordered_pair(sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17))),sK4(relation_composition(sK18,sK17),relation_rng(sK17))),singleton(sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17))))),sK17) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_5251,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(unordered_pair(unordered_pair(sK6(relation_composition(X1,X2),X0),X0),singleton(sK6(relation_composition(X1,X2),X0))),relation_composition(X1,X2))
| ~ relation(relation_composition(X1,X2))
| ~ in(X0,relation_rng(relation_composition(X1,X2))) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_10169,plain,
! [X0: $i] :
( in(sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17))),X0)
| ~ subset(relation_dom(sK17),X0)
| ~ in(sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17))),relation_dom(sK17)) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_13311,plain,
! [X0: $i,X1: $i] :
( in(unordered_pair(unordered_pair(sK6(relation_composition(X0,X1),sK4(relation_composition(sK18,sK17),relation_rng(sK17))),sK4(relation_composition(sK18,sK17),relation_rng(sK17))),singleton(sK6(relation_composition(X0,X1),sK4(relation_composition(sK18,sK17),relation_rng(sK17))))),relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ in(sK4(relation_composition(sK18,sK17),relation_rng(sK17)),relation_rng(relation_composition(X0,X1))) ),
inference(instantiation,[status(thm)],[c_5251]) ).
tcf(c_18553,plain,
( in(sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17))),relation_rng(sK18))
| ~ subset(relation_dom(sK17),relation_rng(sK18))
| ~ in(sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17))),relation_dom(sK17)) ),
inference(instantiation,[status(thm)],[c_10169]) ).
tcf(c_20277,plain,
( in(unordered_pair(unordered_pair(sK6(sK18,sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17)))),sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17)))),singleton(sK6(sK18,sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17)))))),sK18)
| ~ relation(sK18)
| ~ in(sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17))),relation_rng(sK18)) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_21649,plain,
( in(unordered_pair(unordered_pair(sK6(relation_composition(sK18,sK17),sK4(relation_composition(sK18,sK17),relation_rng(sK17))),sK4(relation_composition(sK18,sK17),relation_rng(sK17))),singleton(sK6(relation_composition(sK18,sK17),sK4(relation_composition(sK18,sK17),relation_rng(sK17))))),relation_composition(sK18,sK17))
| ~ relation(relation_composition(sK18,sK17))
| ~ in(sK4(relation_composition(sK18,sK17),relation_rng(sK17)),relation_rng(relation_composition(sK18,sK17))) ),
inference(instantiation,[status(thm)],[c_13311]) ).
tcf(c_21650,plain,
( ( relation_rng(relation_composition(sK18,sK17)) = relation_rng(sK17) )
| ~ relation(relation_composition(sK18,sK17))
| ~ in(sK4(relation_composition(sK18,sK17),relation_rng(sK17)),relation_rng(sK17))
| ~ in(unordered_pair(unordered_pair(sK6(relation_composition(sK18,sK17),sK4(relation_composition(sK18,sK17),relation_rng(sK17))),sK4(relation_composition(sK18,sK17),relation_rng(sK17))),singleton(sK6(relation_composition(sK18,sK17),sK4(relation_composition(sK18,sK17),relation_rng(sK17))))),relation_composition(sK18,sK17)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_28018,plain,
( in(unordered_pair(unordered_pair(sK6(sK18,sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17)))),sK4(relation_composition(sK18,sK17),relation_rng(sK17))),singleton(sK6(sK18,sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17)))))),relation_composition(sK18,sK17))
| ~ relation(sK18)
| ~ relation(sK17)
| ~ relation(relation_composition(sK18,sK17))
| ~ in(unordered_pair(unordered_pair(sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17))),sK4(relation_composition(sK18,sK17),relation_rng(sK17))),singleton(sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17))))),sK17)
| ~ in(unordered_pair(unordered_pair(sK6(sK18,sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17)))),sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17)))),singleton(sK6(sK18,sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17)))))),sK18) ),
inference(instantiation,[status(thm)],[c_5177]) ).
tcf(c_30811,plain,
! [X0: $i,X1: $i] :
( in(sK4(X0,X1),X1)
| ( relation_rng(X0) = X1 )
| ~ empty(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3932,c_79,c_62,c_338,c_643,c_1586]) ).
tcf(c_30852,plain,
( in(sK4(relation_composition(sK18,sK17),relation_rng(sK17)),relation_rng(sK17))
| ~ empty(relation_composition(sK18,sK17)) ),
inference(resolution,[status(thm)],[c_30811,c_92]) ).
tcf(c_31297,plain,
in(sK4(relation_composition(sK18,sK17),relation_rng(sK17)),relation_rng(sK17)),
inference(global_subsumption_just,[status(thm)],[c_30852,c_95,c_94,c_92,c_618,c_1104,c_4784,c_5073]) ).
tcf(c_60597,plain,
( in(sK4(relation_composition(sK18,sK17),relation_rng(sK17)),relation_rng(relation_composition(sK18,sK17)))
| ~ relation(relation_composition(sK18,sK17))
| ~ in(unordered_pair(unordered_pair(sK6(sK18,sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17)))),sK4(relation_composition(sK18,sK17),relation_rng(sK17))),singleton(sK6(sK18,sK6(sK17,sK4(relation_composition(sK18,sK17),relation_rng(sK17)))))),relation_composition(sK18,sK17)) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_60599,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_60597,c_31297,c_28018,c_21650,c_21649,c_20277,c_18553,c_5176,c_1104,c_813,c_92,c_93,c_94,c_95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU185+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 13:06:28 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 0.15/0.42
% 0.15/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.42
% 0.15/0.42 % Detected problem language: tptp
% 0.15/0.43 % Proving...
% 53.21/14.62 % SZS status Started for theBenchmark.p
% 53.21/14.62 % SZS status Theorem for theBenchmark.p
% 53.21/14.62
% 53.21/14.62 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 53.21/14.62
% 53.21/14.62 % ------ iProver source info
% 53.21/14.62
% 53.21/14.62 % git: date: 2026-07-19 20:42:38 +0200
% 53.21/14.62 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 53.21/14.62 % git: non_committed_changes: false
% 53.21/14.62
% 53.21/14.62 % ------ Parsing...
% 53.21/14.62 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 53.21/14.62
% 53.21/14.62 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e %
% 53.21/14.62
% 53.21/14.62 % ------ Preprocessing...%
% 53.21/14.62
% 53.21/14.62 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 53.21/14.62 % ------ Proving...
% 53.21/14.62 % ------ Problem Properties
% 53.21/14.62
% 53.21/14.62 %
% 53.21/14.62 % clauses 50
% 53.21/14.62 % conjectures 4
% 53.21/14.62 % EPR 16
% 53.21/14.62 % Horn 43
% 53.21/14.62 % unary 18
% 53.21/14.62 % binary 10
% 53.21/14.62 % lits 125
% 53.21/14.62 % lits eq 12
% 53.21/14.62 % fd_pure 0
% 53.21/14.62 % fd_pseudo 0
% 53.21/14.62 % fd_cond 1
% 53.21/14.62 % fd_pseudo_cond 9
% 53.21/14.62 % AC symbols 0
% 53.21/14.62
% 53.21/14.62 % ------ Input Options Time Limit: Unbounded
% 53.21/14.62
% 53.21/14.62
% 53.21/14.62 % ------
% 53.21/14.62 % Current options:
% 53.21/14.62 % ------
% 53.21/14.62
% 53.21/14.62
% 53.21/14.62 %
% 53.21/14.62
% 53.21/14.62 % ------ Proving...
% 53.21/14.62 %
% 53.21/14.62
% 53.21/14.62 % SZS status Theorem for theBenchmark.p
% 53.21/14.62
% 53.21/14.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 53.21/14.62
% 53.21/14.62
%------------------------------------------------------------------------------