%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU216+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 02:55:57 PM UTC 2026
% Result : Theorem 38.35s 9.84s
% Output : CNFRefutation 38.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 12
% Syntax : Number of formulae : 151 ( 25 unt; 0 def)
% Number of atoms : 585 ( 262 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 703 ( 269 ~; 340 |; 68 &)
% ( 15 <=>; 9 =>; 0 <=; 2 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 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 : 13 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 238 ( 0 sgn 219 !; 19 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f5,axiom,
! [X0,X1] :
( relation(X1)
=> ( X1 = identity_relation(X0)
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
<=> ( X2 = X3
& in(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_relat_1) ).
fof(f6,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(f7,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f15,axiom,
! [X0] : relation(identity_relation(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relat_1) ).
fof(f37,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( X1 = identity_relation(X0)
<=> ( ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 )
& relation_dom(X1) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_funct_1) ).
fof(f38,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( X1 = identity_relation(X0)
<=> ( ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 )
& relation_dom(X1) = X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f40,axiom,
! [X0] :
( relation_rng(identity_relation(X0)) = X0
& relation_dom(identity_relation(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t71_relat_1) ).
fof(f43,axiom,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( in(ordered_pair(X0,X1),X2)
<=> ( X1 = apply(X2,X0)
& in(X0,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_funct_1) ).
fof(f49,plain,
! [X0,X1] :
( ~ relation(X1)
| ( X1 = identity_relation(X0)
<=> ! [X2,X3] :
( in(ordered_pair(X2,X3),X1)
<=> ( X2 = X3
& in(X2,X0) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f50,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,[],[f6]) ).
fof(f51,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,[],[f50]) ).
fof(f61,plain,
? [X0,X1] :
( function(X1)
& relation(X1)
& ( X1 = identity_relation(X0)
<~> ( ! [X2] :
( ~ in(X2,X0)
| apply(X1,X2) = X2 )
& relation_dom(X1) = X0 ) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f62,plain,
? [X0,X1] :
( function(X1)
& relation(X1)
& ( X1 = identity_relation(X0)
<~> ( ! [X2] :
( ~ in(X2,X0)
| apply(X1,X2) = X2 )
& relation_dom(X1) = X0 ) ) ),
inference(flattening,[],[f61]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ~ function(X2)
| ~ relation(X2)
| ( in(ordered_pair(X0,X1),X2)
<=> ( X1 = apply(X2,X0)
& in(X0,relation_dom(X2)) ) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ function(X2)
| ~ relation(X2)
| ( in(ordered_pair(X0,X1),X2)
<=> ( X1 = apply(X2,X0)
& in(X0,relation_dom(X2)) ) ) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( ~ relation(X1)
| ( ( identity_relation(X0) != X1
| ! [X2,X3] :
( ( ~ in(ordered_pair(X2,X3),X1)
| ( X2 = X3
& in(X2,X0) ) )
& ( X2 != X3
| ~ in(X2,X0)
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ? [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
| ( X2 = X3
& in(X2,X0) ) )
& ( ~ in(ordered_pair(X2,X3),X1)
| X2 != X3
| ~ in(X2,X0) ) )
| X1 = identity_relation(X0) ) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f69,plain,
! [X0,X1] :
( ~ relation(X1)
| ( ( identity_relation(X0) != X1
| ! [X2,X3] :
( ( ~ in(ordered_pair(X2,X3),X1)
| ( X2 = X3
& in(X2,X0) ) )
& ( X2 != X3
| ~ in(X2,X0)
| in(ordered_pair(X2,X3),X1) ) ) )
& ( ? [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
| ( X2 = X3
& in(X2,X0) ) )
& ( ~ in(ordered_pair(X2,X3),X1)
| X2 != X3
| ~ in(X2,X0) ) )
| X1 = identity_relation(X0) ) ) ),
inference(flattening,[],[f68]) ).
fof(f70,plain,
! [X0,X1] :
( ~ relation(X1)
| ( ( identity_relation(X0) != X1
| ! [X4,X5] :
( ( ~ in(ordered_pair(X4,X5),X1)
| ( X4 = X5
& in(X4,X0) ) )
& ( X4 != X5
| ~ in(X4,X0)
| in(ordered_pair(X4,X5),X1) ) ) )
& ( ? [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
| ( X2 = X3
& in(X2,X0) ) )
& ( ~ in(ordered_pair(X2,X3),X1)
| X2 != X3
| ~ in(X2,X0) ) )
| X1 = identity_relation(X0) ) ) ),
inference(rectify,[],[f69]) ).
fof(f71,plain,
! [X0,X1] :
( ~ relation(X1)
| ( ( identity_relation(X0) != X1
| ! [X4,X5] :
( ( ~ in(ordered_pair(X4,X5),X1)
| ( X4 = X5
& in(X4,X0) ) )
& ( X4 != X5
| ~ in(X4,X0)
| in(ordered_pair(X4,X5),X1) ) ) )
& ( ( ( in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X1)
| ( sK0(X0,X1) = sK1(X0,X1)
& in(sK0(X0,X1),X0) ) )
& ( ~ in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X1)
| sK0(X0,X1) != sK1(X0,X1)
| ~ in(sK0(X0,X1),X0) ) )
| X1 = identity_relation(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f70]) ).
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,[],[f51]) ).
fof(f80,plain,
? [X0,X1] :
( function(X1)
& relation(X1)
& ( X1 = identity_relation(X0)
| ( ! [X2] :
( ~ in(X2,X0)
| apply(X1,X2) = X2 )
& relation_dom(X1) = X0 ) )
& ( identity_relation(X0) != X1
| ? [X2] :
( in(X2,X0)
& apply(X1,X2) != X2 )
| relation_dom(X1) != X0 ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f81,plain,
? [X0,X1] :
( function(X1)
& relation(X1)
& ( X1 = identity_relation(X0)
| ( ! [X2] :
( ~ in(X2,X0)
| apply(X1,X2) = X2 )
& relation_dom(X1) = X0 ) )
& ( identity_relation(X0) != X1
| ? [X2] :
( in(X2,X0)
& apply(X1,X2) != X2 )
| relation_dom(X1) != X0 ) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
? [X0,X1] :
( function(X1)
& relation(X1)
& ( X1 = identity_relation(X0)
| ( ! [X3] :
( ~ in(X3,X0)
| apply(X1,X3) = X3 )
& relation_dom(X1) = X0 ) )
& ( identity_relation(X0) != X1
| ? [X2] :
( in(X2,X0)
& apply(X1,X2) != X2 )
| relation_dom(X1) != X0 ) ),
inference(rectify,[],[f81]) ).
fof(f83,plain,
( function(sK10)
& relation(sK10)
& ( sK10 = identity_relation(sK9)
| ( ! [X3] :
( ~ in(X3,sK9)
| apply(sK10,X3) = X3 )
& sK9 = relation_dom(sK10) ) )
& ( sK10 != identity_relation(sK9)
| ( in(sK11,sK9)
& sK11 != apply(sK10,sK11) )
| sK9 != relation_dom(sK10) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11]),skolemize(X0,sK9),skolemize(X1,sK10),skolemize(X2,sK11)],[f82]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ function(X2)
| ~ relation(X2)
| ( ( ~ in(ordered_pair(X0,X1),X2)
| ( X1 = apply(X2,X0)
& in(X0,relation_dom(X2)) ) )
& ( apply(X2,X0) != X1
| ~ in(X0,relation_dom(X2))
| in(ordered_pair(X0,X1),X2) ) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ~ function(X2)
| ~ relation(X2)
| ( ( ~ in(ordered_pair(X0,X1),X2)
| ( X1 = apply(X2,X0)
& in(X0,relation_dom(X2)) ) )
& ( apply(X2,X0) != X1
| ~ in(X0,relation_dom(X2))
| in(ordered_pair(X0,X1),X2) ) ) ),
inference(flattening,[],[f84]) ).
fof(f89,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f92,plain,
! [X0,X1,X4,X5] :
( ~ relation(X1)
| identity_relation(X0) != X1
| X4 != X5
| ~ in(X4,X0)
| in(ordered_pair(X4,X5),X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f93,plain,
! [X0,X1] :
( ~ relation(X1)
| in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X1)
| sK0(X0,X1) = sK1(X0,X1)
| identity_relation(X0) = X1 ),
inference(cnf_transformation,[],[f71]) ).
fof(f94,plain,
! [X0,X1] :
( ~ relation(X1)
| in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X1)
| in(sK0(X0,X1),X0)
| identity_relation(X0) = X1 ),
inference(cnf_transformation,[],[f71]) ).
fof(f95,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ in(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X1)
| sK0(X0,X1) != sK1(X0,X1)
| ~ in(sK0(X0,X1),X0)
| identity_relation(X0) = X1 ),
inference(cnf_transformation,[],[f71]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X1,relation_dom(X0))
| apply(X0,X1) != X2
| in(ordered_pair(X1,X2),X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X1,relation_dom(X0))
| ~ in(ordered_pair(X1,X2),X0)
| apply(X0,X1) = X2 ),
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,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f130,plain,
function(sK10),
inference(cnf_transformation,[],[f83]) ).
fof(f131,plain,
relation(sK10),
inference(cnf_transformation,[],[f83]) ).
fof(f132,plain,
! [X3] :
( sK10 = identity_relation(sK9)
| ~ in(X3,sK9)
| apply(sK10,X3) = X3 ),
inference(cnf_transformation,[],[f83]) ).
fof(f133,plain,
( sK10 = identity_relation(sK9)
| sK9 = relation_dom(sK10) ),
inference(cnf_transformation,[],[f83]) ).
fof(f134,plain,
( sK10 != identity_relation(sK9)
| in(sK11,sK9)
| sK9 != relation_dom(sK10) ),
inference(cnf_transformation,[],[f83]) ).
fof(f135,plain,
( sK10 != identity_relation(sK9)
| sK11 != apply(sK10,sK11)
| sK9 != relation_dom(sK10) ),
inference(cnf_transformation,[],[f83]) ).
fof(f138,plain,
! [X0] : relation_dom(identity_relation(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ function(X2)
| ~ relation(X2)
| ~ in(ordered_pair(X0,X1),X2)
| apply(X2,X0) = X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ function(X2)
| ~ relation(X2)
| ~ in(ordered_pair(X0,X1),X2)
| in(X0,relation_dom(X2)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f144,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(sK0(X0,X1),sK1(X0,X1)),singleton(sK0(X0,X1))),X1)
| sK0(X0,X1) != sK1(X0,X1)
| ~ in(sK0(X0,X1),X0)
| identity_relation(X0) = X1 ),
inference(definition_unfolding,[],[f95,f100]) ).
fof(f145,plain,
! [X0,X1] :
( ~ relation(X1)
| in(unordered_pair(unordered_pair(sK0(X0,X1),sK1(X0,X1)),singleton(sK0(X0,X1))),X1)
| in(sK0(X0,X1),X0)
| identity_relation(X0) = X1 ),
inference(definition_unfolding,[],[f94,f100]) ).
fof(f146,plain,
! [X0,X1] :
( ~ relation(X1)
| in(unordered_pair(unordered_pair(sK0(X0,X1),sK1(X0,X1)),singleton(sK0(X0,X1))),X1)
| sK0(X0,X1) = sK1(X0,X1)
| identity_relation(X0) = X1 ),
inference(definition_unfolding,[],[f93,f100]) ).
fof(f147,plain,
! [X0,X1,X4,X5] :
( ~ relation(X1)
| identity_relation(X0) != X1
| X4 != X5
| ~ in(X4,X0)
| in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X1) ),
inference(definition_unfolding,[],[f92,f100]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X1,relation_dom(X0))
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X0)
| apply(X0,X1) = X2 ),
inference(definition_unfolding,[],[f99,f100]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X1,relation_dom(X0))
| apply(X0,X1) != X2
| in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X0) ),
inference(definition_unfolding,[],[f98,f100]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ function(X2)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| in(X0,relation_dom(X2)) ),
inference(definition_unfolding,[],[f142,f100]) ).
fof(f155,plain,
! [X2,X0,X1] :
( ~ function(X2)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
| apply(X2,X0) = X1 ),
inference(definition_unfolding,[],[f141,f100]) ).
fof(f156,plain,
! [X0,X1,X5] :
( ~ relation(X1)
| identity_relation(X0) != X1
| ~ in(X5,X0)
| in(unordered_pair(unordered_pair(X5,X5),singleton(X5)),X1) ),
inference(equality_resolution,[],[f147]) ).
fof(f157,plain,
! [X0,X5] :
( ~ relation(identity_relation(X0))
| ~ in(X5,X0)
| in(unordered_pair(unordered_pair(X5,X5),singleton(X5)),identity_relation(X0)) ),
inference(equality_resolution,[],[f156]) ).
fof(f160,plain,
! [X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X1,relation_dom(X0))
| in(unordered_pair(unordered_pair(X1,apply(X0,X1)),singleton(X1)),X0) ),
inference(equality_resolution,[],[f151]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f89]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( ( identity_relation(X0) = X1 )
| ~ relation(X1)
| ~ in(sK0(X0,X1),X0)
| ~ in(unordered_pair(unordered_pair(sK0(X0,X1),sK1(X0,X1)),singleton(sK0(X0,X1))),X1)
| ( sK0(X0,X1) != sK1(X0,X1) ) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( in(sK0(X1,X0),X1)
| in(unordered_pair(unordered_pair(sK0(X1,X0),sK1(X1,X0)),singleton(sK0(X1,X0))),X0)
| ( identity_relation(X1) = X0 )
| ~ relation(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( in(unordered_pair(unordered_pair(sK0(X1,X0),sK1(X1,X0)),singleton(sK0(X1,X0))),X0)
| ( identity_relation(X1) = X0 )
| ( sK0(X1,X0) = sK1(X1,X0) )
| ~ relation(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( in(unordered_pair(unordered_pair(X0,X0),singleton(X0)),identity_relation(X1))
| ~ relation(identity_relation(X1))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( apply(X2,X0) = X1 )
| ~ relation(X2)
| ~ function(X2)
| ~ in(X0,relation_dom(X2))
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( in(unordered_pair(unordered_pair(X0,apply(X1,X0)),singleton(X0)),X1)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,relation_dom(X1)) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_63,plain,
! [X0: $i] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f101]) ).
tcf(c_92,negated_conjecture,
( ( relation_dom(sK10) != sK9 )
| ( identity_relation(sK9) != sK10 )
| ( apply(sK10,sK11) != sK11 ) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_93,negated_conjecture,
( in(sK11,sK9)
| ( relation_dom(sK10) != sK9 )
| ( identity_relation(sK9) != sK10 ) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_94,negated_conjecture,
( ( relation_dom(sK10) = sK9 )
| ( identity_relation(sK9) = sK10 ) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_95,negated_conjecture,
! [X0: $i] :
( ( identity_relation(sK9) = sK10 )
| ( apply(sK10,X0) = X0 )
| ~ in(X0,sK9) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_96,negated_conjecture,
relation(sK10),
inference(cnf_transformation,[],[f131]) ).
tcf(c_97,negated_conjecture,
function(sK10),
inference(cnf_transformation,[],[f130]) ).
tcf(c_99,plain,
! [X0: $i] : relation_dom(identity_relation(X0)) = X0,
inference(cnf_transformation,[],[f138]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( apply(X2,X0) = X1 )
| ~ relation(X2)
| ~ function(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( apply(X2,X0) = X1 )
| ~ relation(X2)
| ~ function(X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2) ),
inference(global_subsumption_just,[status(thm)],[c_59,c_105]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i] :
( in(unordered_pair(unordered_pair(X0,X0),singleton(X0)),identity_relation(X1))
| ~ in(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_56,c_63]) ).
tcf(c_416,plain,
! [X0: $i,X1: $i] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,X0)),identity_relation(X1))
| ~ in(X0,X1) ),
inference(demodulation,[status(thm)],[c_164,c_52]) ).
tcf(c_450,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2)
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2) ),
inference(demodulation,[status(thm)],[c_104,c_52]) ).
tcf(c_469,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( apply(X2,X0) = X1 )
| ~ relation(X2)
| ~ function(X2)
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2) ),
inference(demodulation,[status(thm)],[c_138,c_52]) ).
tcf(c_482,plain,
! [X0: $i,X1: $i] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,apply(X1,X0))),X1)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,relation_dom(X1)) ),
inference(demodulation,[status(thm)],[c_60,c_52]) ).
tcf(c_495,plain,
! [X0: $i,X1: $i] :
( in(sK0(X1,X0),X1)
| in(unordered_pair(singleton(sK0(X1,X0)),unordered_pair(sK0(X1,X0),sK1(X1,X0))),X0)
| ( identity_relation(X1) = X0 )
| ~ relation(X0) ),
inference(demodulation,[status(thm)],[c_54,c_52]) ).
tcf(c_508,plain,
! [X0: $i,X1: $i] :
( in(unordered_pair(singleton(sK0(X1,X0)),unordered_pair(sK0(X1,X0),sK1(X1,X0))),X0)
| ( identity_relation(X1) = X0 )
| ( sK0(X1,X0) = sK1(X1,X0) )
| ~ relation(X0) ),
inference(demodulation,[status(thm)],[c_55,c_52]) ).
tcf(c_521,plain,
! [X0: $i,X1: $i] :
( ( identity_relation(X0) = X1 )
| ~ relation(X1)
| ~ in(sK0(X0,X1),X0)
| ~ in(unordered_pair(singleton(sK0(X0,X1)),unordered_pair(sK0(X0,X1),sK1(X0,X1))),X1)
| ( sK0(X0,X1) != sK1(X0,X1) ) ),
inference(demodulation,[status(thm)],[c_53,c_52]) ).
tcf(c_3504,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_3506,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_3509,plain,
! [X0: $i,X1: $i] :
( empty(X0)
| ~ empty(X1)
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_3515,plain,
! [X0: $i,X1: $i] :
( ( relation_dom(X0) = relation_dom(X1) )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_3520,plain,
( ( relation_dom(sK10) = relation_dom(sK10) )
| ( sK10 != sK10 ) ),
inference(instantiation,[status(thm)],[c_3515]) ).
tcf(c_3522,plain,
sK10 = sK10,
inference(instantiation,[status(thm)],[c_3504]) ).
tcf(c_4051,plain,
! [X0: $i] :
( ( relation_dom(sK10) = sK9 )
| ( sK9 != X0 )
| ( relation_dom(sK10) != X0 ) ),
inference(instantiation,[status(thm)],[c_3506]) ).
tcf(c_4100,plain,
! [X0: $i,X1: $i] :
( ( sK9 = X0 )
| ( sK9 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_3506]) ).
tcf(c_5064,plain,
! [X0: $i] :
( ( sK9 = X0 )
| ( sK9 != sK9 )
| ( X0 != sK9 ) ),
inference(instantiation,[status(thm)],[c_4100]) ).
tcf(c_5065,plain,
sK9 = sK9,
inference(instantiation,[status(thm)],[c_3504]) ).
tcf(c_5343,plain,
! [X0: $i,X1: $i] :
( empty(relation_dom(X0))
| ~ empty(relation_dom(X1))
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_3515,c_3509]) ).
tcf(c_6207,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_3506,c_3504]) ).
tcf(c_9372,plain,
( ( sK9 = relation_dom(identity_relation(sK9)) )
| ( sK9 != sK9 )
| ( relation_dom(identity_relation(sK9)) != sK9 ) ),
inference(instantiation,[status(thm)],[c_5064]) ).
tcf(c_9373,plain,
relation_dom(identity_relation(sK9)) = sK9,
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_10590,plain,
( ( sK9 = relation_dom(sK10) )
| ( identity_relation(sK9) = sK10 ) ),
inference(resolution,[status(thm)],[c_6207,c_94]) ).
tcf(c_11308,plain,
! [X0: $i,X1: $i] :
( in(sK0(X1,X0),X1)
| in(sK0(X1,X0),relation_dom(X0))
| ( identity_relation(X1) = X0 )
| ~ relation(X0)
| ~ function(X0) ),
inference(superposition,[status(thm)],[c_495,c_450]) ).
tcf(c_14005,plain,
( ( sK10 = identity_relation(sK9) )
| ( sK9 = relation_dom(sK10) ) ),
inference(resolution,[status(thm)],[c_10590,c_6207]) ).
tcf(c_16783,plain,
! [X0: $i] :
( ( sK9 = X0 )
| ( sK9 != relation_dom(identity_relation(sK9)) )
| ( X0 != relation_dom(identity_relation(sK9)) ) ),
inference(instantiation,[status(thm)],[c_4100]) ).
tcf(c_17797,plain,
! [X0: $i] :
( in(sK0(X0,sK10),sK9)
| in(sK0(X0,sK10),X0)
| ( identity_relation(sK9) = sK10 )
| ( identity_relation(X0) = sK10 )
| ~ relation(sK10)
| ~ function(sK10) ),
inference(superposition,[status(thm)],[c_94,c_11308]) ).
tcf(c_17834,plain,
! [X0: $i] :
( in(sK0(X0,sK10),sK9)
| in(sK0(X0,sK10),X0)
| ( identity_relation(sK9) = sK10 )
| ( identity_relation(X0) = sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17797,c_96,c_97]) ).
tcf(c_18021,plain,
( empty(relation_dom(identity_relation(sK9)))
| ( sK9 = relation_dom(sK10) )
| ~ empty(relation_dom(sK10)) ),
inference(resolution,[status(thm)],[c_5343,c_10590]) ).
tcf(c_18079,plain,
! [X0: $i] :
( in(sK0(X0,sK10),X0)
| ( identity_relation(sK9) = sK10 )
| ( identity_relation(X0) = sK10 )
| ( apply(sK10,sK0(X0,sK10)) = sK0(X0,sK10) ) ),
inference(superposition,[status(thm)],[c_17834,c_95]) ).
tcf(c_18097,plain,
( in(sK0(sK9,sK10),sK9)
| ( identity_relation(sK9) = sK10 ) ),
inference(equality_factoring,[status(thm)],[c_17834]) ).
tcf(c_18243,plain,
( ( identity_relation(sK9) = sK10 )
| ( apply(sK10,sK0(sK9,sK10)) = sK0(sK9,sK10) ) ),
inference(superposition,[status(thm)],[c_18079,c_95]) ).
tcf(c_18297,plain,
( in(unordered_pair(singleton(sK0(sK9,sK10)),unordered_pair(sK0(sK9,sK10),sK0(sK9,sK10))),sK10)
| ( identity_relation(sK9) = sK10 )
| ~ relation(sK10)
| ~ function(sK10)
| ~ in(sK0(sK9,sK10),relation_dom(sK10)) ),
inference(superposition,[status(thm)],[c_18243,c_482]) ).
tcf(c_18300,plain,
( in(unordered_pair(singleton(sK0(sK9,sK10)),unordered_pair(sK0(sK9,sK10),sK0(sK9,sK10))),sK10)
| ( identity_relation(sK9) = sK10 )
| ~ in(sK0(sK9,sK10),relation_dom(sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18297,c_96,c_97]) ).
tcf(c_24763,plain,
( ( relation_dom(sK10) = relation_dom(identity_relation(sK9)) )
| ( sK10 != identity_relation(sK9) ) ),
inference(instantiation,[status(thm)],[c_3515]) ).
tcf(c_26543,plain,
! [X0: $i] :
( ( sK9 = relation_dom(X0) )
| ( sK9 != relation_dom(identity_relation(sK9)) )
| ( relation_dom(X0) != relation_dom(identity_relation(sK9)) ) ),
inference(instantiation,[status(thm)],[c_16783]) ).
tcf(c_26545,plain,
( ( sK9 = relation_dom(sK10) )
| ( sK9 != relation_dom(identity_relation(sK9)) )
| ( relation_dom(sK10) != relation_dom(identity_relation(sK9)) ) ),
inference(instantiation,[status(thm)],[c_26543]) ).
tcf(c_29525,plain,
sK9 = relation_dom(sK10),
inference(global_subsumption_just,[status(thm)],[c_18021,c_5065,c_9372,c_9373,c_14005,c_24763,c_26545]) ).
tcf(c_36315,plain,
( ( relation_dom(sK10) = sK9 )
| ( sK9 != relation_dom(sK10) )
| ( relation_dom(sK10) != relation_dom(sK10) ) ),
inference(instantiation,[status(thm)],[c_4051]) ).
tcf(c_36706,negated_conjecture,
relation_dom(sK10) = sK9,
inference(global_subsumption_just,[status(thm)],[c_94,c_3520,c_3522,c_29525,c_36315]) ).
tcf(c_36708,plain,
( in(sK11,sK9)
| ( identity_relation(sK9) != sK10 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_93,c_36706]) ).
tcf(c_36709,plain,
( ( identity_relation(sK9) != sK10 )
| ( apply(sK10,sK11) != sK11 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_92,c_36706]) ).
tcf(c_36915,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2)
| ~ in(unordered_pair(singleton(X0),unordered_pair(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_52,c_450]) ).
tcf(c_36924,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( apply(X2,X0) = X1 )
| ~ relation(X2)
| ~ function(X2)
| ~ in(unordered_pair(singleton(X0),unordered_pair(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_52,c_469]) ).
tcf(c_37034,plain,
! [X0: $i,X1: $i] :
( in(sK0(X1,X0),X1)
| in(sK0(X1,X0),relation_dom(X0))
| ( identity_relation(X1) = X0 )
| ~ relation(X0)
| ~ function(X0) ),
inference(superposition,[status(thm)],[c_495,c_450]) ).
tcf(c_37048,plain,
! [X0: $i,X1: $i] :
( ( identity_relation(X1) = X0 )
| ( sK0(X1,X0) = sK1(X1,X0) )
| ( apply(X0,sK0(X1,X0)) = sK1(X1,X0) )
| ~ relation(X0)
| ~ function(X0) ),
inference(superposition,[status(thm)],[c_508,c_469]) ).
tcf(c_37049,plain,
! [X0: $i,X1: $i] :
( in(sK0(X1,X0),relation_dom(X0))
| ( identity_relation(X1) = X0 )
| ( sK0(X1,X0) = sK1(X1,X0) )
| ~ relation(X0)
| ~ function(X0) ),
inference(superposition,[status(thm)],[c_508,c_450]) ).
tcf(c_44227,plain,
! [X0: $i] :
( in(sK0(X0,sK10),sK9)
| in(sK0(X0,sK10),X0)
| ( identity_relation(X0) = sK10 )
| ~ relation(sK10)
| ~ function(sK10) ),
inference(superposition,[status(thm)],[c_36706,c_37034]) ).
tcf(c_44270,plain,
! [X0: $i] :
( in(sK0(X0,sK10),sK9)
| in(sK0(X0,sK10),X0)
| ( identity_relation(X0) = sK10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44227,c_96,c_97]) ).
tcf(c_44284,plain,
! [X0: $i] :
( in(sK0(X0,sK10),X0)
| ( identity_relation(sK9) = sK10 )
| ( identity_relation(X0) = sK10 )
| ( apply(sK10,sK0(X0,sK10)) = sK0(X0,sK10) ) ),
inference(superposition,[status(thm)],[c_44270,c_95]) ).
tcf(c_44334,plain,
( ( identity_relation(sK9) = sK10 )
| ( apply(sK10,sK0(sK9,sK10)) = sK0(sK9,sK10) ) ),
inference(superposition,[status(thm)],[c_44284,c_95]) ).
tcf(c_44492,plain,
( in(unordered_pair(singleton(sK0(sK9,sK10)),unordered_pair(sK0(sK9,sK10),sK0(sK9,sK10))),sK10)
| ( identity_relation(sK9) = sK10 )
| ~ relation(sK10)
| ~ function(sK10)
| ~ in(sK0(sK9,sK10),relation_dom(sK10)) ),
inference(superposition,[status(thm)],[c_44334,c_482]) ).
tcf(c_44495,plain,
( in(unordered_pair(singleton(sK0(sK9,sK10)),unordered_pair(sK0(sK9,sK10),sK0(sK9,sK10))),sK10)
| ( identity_relation(sK9) = sK10 )
| ~ in(sK0(sK9,sK10),relation_dom(sK10)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44492,c_96,c_97]) ).
tcf(c_44580,plain,
( in(unordered_pair(singleton(sK0(sK9,sK10)),unordered_pair(sK0(sK9,sK10),sK0(sK9,sK10))),sK10)
| ( identity_relation(sK9) = sK10 )
| ~ in(sK0(sK9,sK10),sK9) ),
inference(light_normalisation,[status(thm)],[c_44495,c_36706]) ).
tcf(c_44597,plain,
( in(sK0(sK9,sK10),relation_dom(sK10))
| ( identity_relation(sK9) = sK10 )
| ~ relation(sK10)
| ~ function(sK10)
| ~ in(sK0(sK9,sK10),sK9) ),
inference(superposition,[status(thm)],[c_44580,c_36915]) ).
tcf(c_44598,plain,
( in(sK0(sK9,sK10),relation_dom(sK10))
| ( identity_relation(sK9) = sK10 )
| ~ in(sK0(sK9,sK10),sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44597,c_96,c_97]) ).
tcf(c_45803,plain,
! [X0: $i] :
( in(sK0(X0,sK10),sK9)
| ( identity_relation(X0) = sK10 )
| ( sK0(X0,sK10) = sK1(X0,sK10) )
| ~ relation(sK10)
| ~ function(sK10) ),
inference(superposition,[status(thm)],[c_36706,c_37049]) ).
tcf(c_45824,plain,
! [X0: $i] :
( in(sK0(X0,sK10),sK9)
| ( identity_relation(X0) = sK10 )
| ( sK0(X0,sK10) = sK1(X0,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45803,c_96,c_97]) ).
tcf(c_45930,plain,
! [X0: $i] :
( ( identity_relation(sK9) = sK10 )
| ( identity_relation(X0) = sK10 )
| ( sK0(X0,sK10) = sK1(X0,sK10) )
| ( apply(sK10,sK0(X0,sK10)) = sK0(X0,sK10) ) ),
inference(superposition,[status(thm)],[c_45824,c_95]) ).
tcf(c_46281,plain,
! [X0: $i] :
( ( identity_relation(X0) = sK10 )
| ( sK0(X0,sK10) = sK1(X0,sK10) )
| ( apply(sK10,sK0(X0,sK10)) = sK1(X0,sK10) )
| ~ relation(sK10) ),
inference(superposition,[status(thm)],[c_97,c_37048]) ).
tcf(c_46286,plain,
! [X0: $i] :
( ( identity_relation(X0) = sK10 )
| ( sK0(X0,sK10) = sK1(X0,sK10) )
| ( apply(sK10,sK0(X0,sK10)) = sK1(X0,sK10) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46281,c_96]) ).
tcf(c_46366,plain,
( ( identity_relation(sK9) = sK10 )
| ( sK0(sK9,sK10) = sK1(sK9,sK10) ) ),
inference(superposition,[status(thm)],[c_46286,c_44334]) ).
tcf(c_46367,plain,
! [X0: $i] :
( ( identity_relation(sK9) = sK10 )
| ( identity_relation(X0) = sK10 )
| ( sK0(X0,sK10) = sK1(X0,sK10) ) ),
inference(superposition,[status(thm)],[c_46286,c_45930]) ).
tcf(c_46639,plain,
( ( identity_relation(sK9) = sK10 )
| ~ relation(sK10)
| ~ in(sK0(sK9,sK10),sK9)
| ~ in(unordered_pair(singleton(sK0(sK9,sK10)),unordered_pair(sK0(sK9,sK10),sK1(sK9,sK10))),sK10) ),
inference(superposition,[status(thm)],[c_46366,c_521]) ).
tcf(c_46642,plain,
( ( identity_relation(sK9) = sK10 )
| ~ in(sK0(sK9,sK10),sK9)
| ~ in(unordered_pair(singleton(sK0(sK9,sK10)),unordered_pair(sK0(sK9,sK10),sK1(sK9,sK10))),sK10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46639,c_96]) ).
tcf(c_46645,plain,
( ( identity_relation(sK9) = sK10 )
| ~ in(unordered_pair(singleton(sK0(sK9,sK10)),unordered_pair(sK0(sK9,sK10),sK1(sK9,sK10))),sK10) ),
inference(global_subsumption_just,[status(thm)],[c_46642,c_18097,c_46642]) ).
tcf(c_46653,plain,
( ( identity_relation(sK9) = sK10 )
| ~ in(unordered_pair(singleton(sK0(sK9,sK10)),unordered_pair(sK0(sK9,sK10),sK0(sK9,sK10))),sK10) ),
inference(superposition,[status(thm)],[c_46366,c_46645]) ).
tcf(c_46752,plain,
identity_relation(sK9) = sK10,
inference(global_subsumption_just,[status(thm)],[c_46367,c_18097,c_18300,c_44598,c_46653]) ).
tcf(c_47080,plain,
( ( sK10 != sK10 )
| ( apply(sK10,sK11) != sK11 ) ),
inference(demodulation,[status(thm)],[c_36709,c_46752]) ).
tcf(c_47081,plain,
( in(sK11,sK9)
| ( sK10 != sK10 ) ),
inference(demodulation,[status(thm)],[c_36708,c_46752]) ).
tcf(c_47083,plain,
in(sK11,sK9),
inference(equality_resolution_simp,[status(thm)],[c_47081]) ).
tcf(c_47084,plain,
apply(sK10,sK11) != sK11,
inference(equality_resolution_simp,[status(thm)],[c_47080]) ).
tcf(c_47097,plain,
! [X0: $i] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,X0)),sK10)
| ~ in(X0,sK9) ),
inference(superposition,[status(thm)],[c_46752,c_416]) ).
tcf(c_47483,plain,
! [X0: $i] :
( ( apply(sK10,X0) = X0 )
| ~ relation(sK10)
| ~ function(sK10)
| ~ in(X0,sK9) ),
inference(superposition,[status(thm)],[c_47097,c_36924]) ).
tcf(c_47486,plain,
! [X0: $i] :
( ( apply(sK10,X0) = X0 )
| ~ in(X0,sK9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_47483,c_96,c_97]) ).
tcf(c_52739,plain,
apply(sK10,sK11) = sK11,
inference(superposition,[status(thm)],[c_47083,c_47486]) ).
tcf(c_52742,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_52739,c_47084]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU216+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 13:13:34 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 38.35/9.84 % SZS status Started for theBenchmark.p
% 38.35/9.84 % SZS status Theorem for theBenchmark.p
% 38.35/9.84
% 38.35/9.84 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 38.35/9.84
% 38.35/9.84 % ------ iProver source info
% 38.35/9.84
% 38.35/9.84 % git: date: 2026-07-19 20:42:38 +0200
% 38.35/9.84 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 38.35/9.84 % git: non_committed_changes: false
% 38.35/9.84
% 38.35/9.84 % ------ Parsing...
% 38.35/9.84 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 38.35/9.84
% 38.35/9.84 % ------ Preprocessing... sup_sim: 9 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 %
% 38.35/9.84
% 38.35/9.84 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 38.35/9.84
% 38.35/9.84 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 38.35/9.84 % ------ Proving...
% 38.35/9.84 % ------ Problem Properties
% 38.35/9.84
% 38.35/9.84 %
% 38.35/9.84 % clauses 47
% 38.35/9.84 % conjectures 6
% 38.35/9.84 % EPR 19
% 38.35/9.84 % Horn 41
% 38.35/9.84 % unary 20
% 38.35/9.84 % binary 14
% 38.35/9.84 % lits 95
% 38.35/9.84 % lits eq 22
% 38.35/9.84 % fd_pure 0
% 38.35/9.84 % fd_pseudo 0
% 38.35/9.84 % fd_cond 1
% 38.35/9.84 % fd_pseudo_cond 6
% 38.35/9.84 % AC symbols 0
% 38.35/9.84
% 38.35/9.84 % ------ Input Options Time Limit: Unbounded
% 38.35/9.84
% 38.35/9.84
% 38.35/9.84 % ------
% 38.35/9.84 % Current options:
% 38.35/9.84 % ------
% 38.35/9.84
% 38.35/9.84
% 38.35/9.84 %
% 38.35/9.84
% 38.35/9.84 % ------ Proving...
% 38.35/9.84 %
% 38.35/9.84
% 38.35/9.84 % SZS status Theorem for theBenchmark.p
% 38.35/9.84
% 38.35/9.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 38.35/9.84
% 38.35/9.84
%------------------------------------------------------------------------------