%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU228+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 : n020.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 02:56:15 PM UTC 2026
% Result : Theorem 97.55s 26.03s
% Output : CNFRefutation 97.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 119 ( 20 unt; 0 def)
% Number of atoms : 584 ( 156 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 780 ( 315 ~; 343 |; 93 &)
% ( 21 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 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 : 15 ( 15 usr; 2 con; 0-3 aty)
% Number of variables : 255 ( 1 sgn 228 !; 27 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f6,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( X3 = apply(X0,X4)
& in(X4,X1)
& in(X4,relation_dom(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_funct_1) ).
fof(f7,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_funct_1) ).
fof(f8,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f9,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/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f37,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f39,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( subset(X0,relation_rng(X1))
=> relation_image(X1,relation_inverse_image(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t147_funct_1) ).
fof(f40,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( subset(X0,relation_rng(X1))
=> relation_image(X1,relation_inverse_image(X1,X0)) = X0 ) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f49,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f37]) ).
fof(f59,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( X3 = apply(X0,X4)
& in(X4,X1)
& in(X4,relation_dom(X0)) ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f60,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( X3 = apply(X0,X4)
& in(X4,X1)
& in(X4,relation_dom(X0)) ) ) ) ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) ) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f62,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) ) ) ) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f64,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,[],[f9]) ).
fof(f65,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,[],[f64]) ).
fof(f75,plain,
? [X0,X1] :
( function(X1)
& relation(X1)
& subset(X0,relation_rng(X1))
& relation_image(X1,relation_inverse_image(X1,X0)) != X0 ),
inference(ennf_transformation,[],[f40]) ).
fof(f76,plain,
? [X0,X1] :
( function(X1)
& relation(X1)
& subset(X0,relation_rng(X1))
& relation_image(X1,relation_inverse_image(X1,X0)) != X0 ),
inference(flattening,[],[f75]) ).
fof(f86,plain,
! [X0,X1] :
( ( X0 != X1
| ( subset(X1,X0)
& subset(X0,X1) ) )
& ( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f87,plain,
! [X0,X1] :
( ( X0 != X1
| ( subset(X1,X0)
& subset(X0,X1) ) )
& ( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f86]) ).
fof(f88,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1,X2] :
( ( relation_image(X0,X1) != X2
| ! [X3] :
( ( ~ in(X3,X2)
| ? [X4] :
( X3 = apply(X0,X4)
& in(X4,X1)
& in(X4,relation_dom(X0)) ) )
& ( ! [X4] :
( apply(X0,X4) != X3
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| in(X3,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| ? [X4] :
( X3 = apply(X0,X4)
& in(X4,X1)
& in(X4,relation_dom(X0)) ) )
& ( ~ in(X3,X2)
| ! [X4] :
( apply(X0,X4) != X3
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) ) ) )
| X2 = relation_image(X0,X1) ) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f89,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1,X2] :
( ( relation_image(X0,X1) != X2
| ! [X6] :
( ( ~ in(X6,X2)
| ? [X8] :
( apply(X0,X8) = X6
& in(X8,X1)
& in(X8,relation_dom(X0)) ) )
& ( ! [X7] :
( apply(X0,X7) != X6
| ~ in(X7,X1)
| ~ in(X7,relation_dom(X0)) )
| in(X6,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| ? [X5] :
( apply(X0,X5) = X3
& in(X5,X1)
& in(X5,relation_dom(X0)) ) )
& ( ~ in(X3,X2)
| ! [X4] :
( apply(X0,X4) != X3
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) ) ) )
| X2 = relation_image(X0,X1) ) ) ),
inference(rectify,[],[f88]) ).
fof(f90,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1,X2] :
( ( relation_image(X0,X1) != X2
| ! [X6] :
( ( ~ in(X6,X2)
| ( apply(X0,sK2(X0,X1,X6)) = X6
& in(sK2(X0,X1,X6),X1)
& in(sK2(X0,X1,X6),relation_dom(X0)) ) )
& ( ! [X7] :
( apply(X0,X7) != X6
| ~ in(X7,X1)
| ~ in(X7,relation_dom(X0)) )
| in(X6,X2) ) ) )
& ( ( ( in(sK0(X0,X1,X2),X2)
| ( sK0(X0,X1,X2) = apply(X0,sK1(X0,X1,X2))
& in(sK1(X0,X1,X2),X1)
& in(sK1(X0,X1,X2),relation_dom(X0)) ) )
& ( ~ in(sK0(X0,X1,X2),X2)
| ! [X4] :
( apply(X0,X4) != sK0(X0,X1,X2)
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) ) ) )
| X2 = relation_image(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X3,sK0(X0,X1,X2)),skolemize(X5,sK1(X0,X1,X2)),skolemize(X8,sK2(X0,X1,X6))],[f89]) ).
fof(f91,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1,X2] :
( ( relation_inverse_image(X0,X1) != X2
| ! [X3] :
( ( ~ in(X3,X2)
| ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) ) )
& ( ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0))
| in(X3,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) ) )
& ( ~ in(X3,X2)
| ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0)) ) )
| X2 = relation_inverse_image(X0,X1) ) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f92,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1,X2] :
( ( relation_inverse_image(X0,X1) != X2
| ! [X3] :
( ( ~ in(X3,X2)
| ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) ) )
& ( ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0))
| in(X3,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) ) )
& ( ~ in(X3,X2)
| ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0)) ) )
| X2 = relation_inverse_image(X0,X1) ) ) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1,X2] :
( ( relation_inverse_image(X0,X1) != X2
| ! [X4] :
( ( ~ in(X4,X2)
| ( in(apply(X0,X4),X1)
& in(X4,relation_dom(X0)) ) )
& ( ~ in(apply(X0,X4),X1)
| ~ in(X4,relation_dom(X0))
| in(X4,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) ) )
& ( ~ in(X3,X2)
| ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0)) ) )
| X2 = relation_inverse_image(X0,X1) ) ) ),
inference(rectify,[],[f92]) ).
fof(f94,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1,X2] :
( ( relation_inverse_image(X0,X1) != X2
| ! [X4] :
( ( ~ in(X4,X2)
| ( in(apply(X0,X4),X1)
& in(X4,relation_dom(X0)) ) )
& ( ~ in(apply(X0,X4),X1)
| ~ in(X4,relation_dom(X0))
| in(X4,X2) ) ) )
& ( ( ( in(sK3(X0,X1,X2),X2)
| ( in(apply(X0,sK3(X0,X1,X2)),X1)
& in(sK3(X0,X1,X2),relation_dom(X0)) ) )
& ( ~ in(sK3(X0,X1,X2),X2)
| ~ in(apply(X0,sK3(X0,X1,X2)),X1)
| ~ in(sK3(X0,X1,X2),relation_dom(X0)) ) )
| X2 = relation_inverse_image(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f93]) ).
fof(f95,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,[],[f63]) ).
fof(f96,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,[],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) ) )
& ( ( in(sK4(X0,X1),X0)
& ~ in(sK4(X0,X1),X1) )
| subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f96]) ).
fof(f98,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,[],[f65]) ).
fof(f99,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,[],[f98]) ).
fof(f100,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| ( apply(X0,sK7(X0,X5)) = X5
& in(sK7(X0,X5),relation_dom(X0)) ) )
& ( ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) )
| in(X5,X1) ) ) )
& ( ( ( in(sK5(X0,X1),X1)
| ( sK5(X0,X1) = apply(X0,sK6(X0,X1))
& in(sK6(X0,X1),relation_dom(X0)) ) )
& ( ~ in(sK5(X0,X1),X1)
| ! [X3] :
( apply(X0,X3) != sK5(X0,X1)
| ~ in(X3,relation_dom(X0)) ) ) )
| X1 = relation_rng(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X2,sK5(X0,X1)),skolemize(X4,sK6(X0,X1)),skolemize(X7,sK7(X0,X5))],[f99]) ).
fof(f112,plain,
( function(sK20)
& relation(sK20)
& subset(sK19,relation_rng(sK20))
& sK19 != relation_image(sK20,relation_inverse_image(sK20,sK19)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20]),skolemize(X0,sK19),skolemize(X1,sK20)],[f76]) ).
fof(f121,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f87]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| in(sK0(X0,X1,X2),X2)
| sK0(X0,X1,X2) = apply(X0,sK1(X0,X1,X2))
| relation_image(X0,X1) = X2 ),
inference(cnf_transformation,[],[f90]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| in(sK0(X0,X1,X2),X2)
| in(sK1(X0,X1,X2),X1)
| relation_image(X0,X1) = X2 ),
inference(cnf_transformation,[],[f90]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| in(sK0(X0,X1,X2),X2)
| in(sK1(X0,X1,X2),relation_dom(X0))
| relation_image(X0,X1) = X2 ),
inference(cnf_transformation,[],[f90]) ).
fof(f129,plain,
! [X2,X0,X1,X4] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(sK0(X0,X1,X2),X2)
| apply(X0,X4) != sK0(X0,X1,X2)
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0))
| relation_image(X0,X1) = X2 ),
inference(cnf_transformation,[],[f90]) ).
fof(f130,plain,
! [X2,X0,X1,X4] :
( ~ function(X0)
| ~ relation(X0)
| relation_inverse_image(X0,X1) != X2
| ~ in(X4,X2)
| in(apply(X0,X4),X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f131,plain,
! [X2,X0,X1,X4] :
( ~ function(X0)
| ~ relation(X0)
| relation_inverse_image(X0,X1) != X2
| ~ in(X4,X2)
| in(X4,relation_dom(X0)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f132,plain,
! [X2,X0,X1,X4] :
( ~ function(X0)
| ~ relation(X0)
| relation_inverse_image(X0,X1) != X2
| ~ in(apply(X0,X4),X1)
| ~ in(X4,relation_dom(X0))
| in(X4,X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f136,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f139,plain,
! [X0,X1,X5] :
( ~ function(X0)
| ~ relation(X0)
| relation_rng(X0) != X1
| ~ in(X5,X1)
| apply(X0,sK7(X0,X5)) = X5 ),
inference(cnf_transformation,[],[f100]) ).
fof(f140,plain,
! [X0,X1,X5] :
( ~ function(X0)
| ~ relation(X0)
| relation_rng(X0) != X1
| ~ in(X5,X1)
| in(sK7(X0,X5),relation_dom(X0)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f176,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f49]) ).
fof(f178,plain,
function(sK20),
inference(cnf_transformation,[],[f112]) ).
fof(f179,plain,
relation(sK20),
inference(cnf_transformation,[],[f112]) ).
fof(f180,plain,
subset(sK19,relation_rng(sK20)),
inference(cnf_transformation,[],[f112]) ).
fof(f181,plain,
sK19 != relation_image(sK20,relation_inverse_image(sK20,sK19)),
inference(cnf_transformation,[],[f112]) ).
fof(f198,plain,
! [X0,X1,X4] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(apply(X0,X4),X1)
| ~ in(X4,relation_dom(X0))
| in(X4,relation_inverse_image(X0,X1)) ),
inference(equality_resolution,[],[f132]) ).
fof(f199,plain,
! [X0,X1,X4] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X4,relation_inverse_image(X0,X1))
| in(X4,relation_dom(X0)) ),
inference(equality_resolution,[],[f131]) ).
fof(f200,plain,
! [X0,X1,X4] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X4,relation_inverse_image(X0,X1))
| in(apply(X0,X4),X1) ),
inference(equality_resolution,[],[f130]) ).
fof(f203,plain,
! [X0,X5] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X5,relation_rng(X0))
| in(sK7(X0,X5),relation_dom(X0)) ),
inference(equality_resolution,[],[f140]) ).
fof(f204,plain,
! [X0,X5] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X5,relation_rng(X0))
| apply(X0,sK7(X0,X5)) = X5 ),
inference(equality_resolution,[],[f139]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( relation_image(X0,X1) = X2 )
| ~ relation(X0)
| ~ function(X0)
| ~ in(X3,X1)
| ~ in(X3,relation_dom(X0))
| ~ in(sK0(X0,X1,X2),X2)
| ( sK0(X0,X1,X2) != apply(X0,X3) ) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK0(X0,X1,X2),X2)
| in(sK1(X0,X1,X2),relation_dom(X0))
| ( relation_image(X0,X1) = X2 )
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK1(X0,X1,X2),X1)
| in(sK0(X0,X1,X2),X2)
| ( relation_image(X0,X1) = X2 )
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK0(X0,X1,X2),X2)
| ( relation_image(X0,X1) = X2 )
| ( apply(X0,sK1(X0,X1,X2)) = sK0(X0,X1,X2) )
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X1,relation_inverse_image(X0,X2))
| ~ relation(X0)
| ~ function(X0)
| ~ in(X1,relation_dom(X0))
| ~ in(apply(X0,X1),X2) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,relation_dom(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,relation_inverse_image(X1,X2)) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(apply(X1,X0),X2)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,relation_inverse_image(X1,X2)) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X0,X2)
| ~ subset(X1,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( in(sK7(X1,X0),relation_dom(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,relation_rng(X1)) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( ( apply(X1,sK7(X1,X0)) = X0 )
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,relation_rng(X1)) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_109,plain,
! [X0: $i] : subset(X0,X0),
inference(cnf_transformation,[],[f176]) ).
tcf(c_111,negated_conjecture,
relation_image(sK20,relation_inverse_image(sK20,sK19)) != sK19,
inference(cnf_transformation,[],[f181]) ).
tcf(c_112,negated_conjecture,
subset(sK19,relation_rng(sK20)),
inference(cnf_transformation,[],[f180]) ).
tcf(c_113,negated_conjecture,
relation(sK20),
inference(cnf_transformation,[],[f179]) ).
tcf(c_114,negated_conjecture,
function(sK20),
inference(cnf_transformation,[],[f178]) ).
tcf(c_185,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_187,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(X0,X2)
| ~ in(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_224,plain,
( in(sK0(sK20,relation_inverse_image(sK20,sK19),sK19),sK19)
| ( relation_image(sK20,relation_inverse_image(sK20,sK19)) = sK19 )
| ( apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)) = sK0(sK20,relation_inverse_image(sK20,sK19),sK19) )
| ~ relation(sK20)
| ~ function(sK20) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_352,plain,
! [X0: $i] :
( in(sK0(sK20,relation_inverse_image(sK20,sK19),sK19),X0)
| ~ subset(sK19,X0)
| ~ in(sK0(sK20,relation_inverse_image(sK20,sK19),sK19),sK19) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_363,plain,
! [X0: $i,X1: $i] :
( in(X0,X1)
| ~ in(sK0(sK20,relation_inverse_image(sK20,sK19),sK19),sK19)
| ( X1 != sK19 )
| ( X0 != sK0(sK20,relation_inverse_image(sK20,sK19),sK19) ) ),
inference(instantiation,[status(thm)],[c_188]) ).
tcf(c_397,plain,
! [X0: $i] :
( ( sK19 = X0 )
| ~ subset(sK19,X0)
| ~ subset(X0,sK19) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_805,plain,
! [X0: $i,X1: $i] :
( ( relation_image(X0,relation_inverse_image(sK20,sK19)) = X1 )
| ~ relation(X0)
| ~ function(X0)
| ~ in(sK0(X0,relation_inverse_image(sK20,sK19),X1),X1)
| ~ in(sK1(sK20,relation_inverse_image(sK20,sK19),sK19),relation_dom(X0))
| ~ in(sK1(sK20,relation_inverse_image(sK20,sK19),sK19),relation_inverse_image(sK20,sK19))
| ( sK0(X0,relation_inverse_image(sK20,sK19),X1) != apply(X0,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)) ) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_809,plain,
( in(apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)),sK19)
| ~ relation(sK20)
| ~ function(sK20)
| ~ in(sK1(sK20,relation_inverse_image(sK20,sK19),sK19),relation_inverse_image(sK20,sK19)) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_1463,plain,
( ( sK19 = sK19 )
| ~ subset(sK19,sK19) ),
inference(instantiation,[status(thm)],[c_397]) ).
tcf(c_1464,plain,
subset(sK19,sK19),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_1637,plain,
( in(sK0(sK20,relation_inverse_image(sK20,sK19),sK19),relation_rng(sK20))
| ~ subset(sK19,relation_rng(sK20))
| ~ in(sK0(sK20,relation_inverse_image(sK20,sK19),sK19),sK19) ),
inference(instantiation,[status(thm)],[c_352]) ).
tcf(c_2031,plain,
( ( apply(sK20,sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19))) = sK0(sK20,relation_inverse_image(sK20,sK19),sK19) )
| ~ relation(sK20)
| ~ function(sK20)
| ~ in(sK0(sK20,relation_inverse_image(sK20,sK19),sK19),relation_rng(sK20)) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_2032,plain,
( in(sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19)),relation_dom(sK20))
| ~ relation(sK20)
| ~ function(sK20)
| ~ in(sK0(sK20,relation_inverse_image(sK20,sK19),sK19),relation_rng(sK20)) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_2290,plain,
! [X0: $i] :
( in(X0,sK19)
| ~ in(sK0(sK20,relation_inverse_image(sK20,sK19),sK19),sK19)
| ( sK19 != sK19 )
| ( X0 != sK0(sK20,relation_inverse_image(sK20,sK19),sK19) ) ),
inference(instantiation,[status(thm)],[c_363]) ).
tcf(c_2527,plain,
! [X0: $i,X1: $i] :
( in(X0,X1)
| ~ in(apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)),sK19)
| ( X1 != sK19 )
| ( X0 != apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)) ) ),
inference(instantiation,[status(thm)],[c_188]) ).
tcf(c_3021,plain,
( ( relation_image(sK20,relation_inverse_image(sK20,sK19)) = sK19 )
| ~ relation(sK20)
| ~ function(sK20)
| ~ in(sK0(sK20,relation_inverse_image(sK20,sK19),sK19),sK19)
| ~ in(sK1(sK20,relation_inverse_image(sK20,sK19),sK19),relation_dom(sK20))
| ~ in(sK1(sK20,relation_inverse_image(sK20,sK19),sK19),relation_inverse_image(sK20,sK19))
| ( sK0(sK20,relation_inverse_image(sK20,sK19),sK19) != apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)) ) ),
inference(instantiation,[status(thm)],[c_805]) ).
tcf(c_3432,plain,
sK0(sK20,relation_inverse_image(sK20,sK19),sK19) = sK0(sK20,relation_inverse_image(sK20,sK19),sK19),
inference(instantiation,[status(thm)],[c_185]) ).
tcf(c_5721,plain,
( in(sK0(sK20,relation_inverse_image(sK20,sK19),sK19),sK19)
| in(sK1(sK20,relation_inverse_image(sK20,sK19),sK19),relation_inverse_image(sK20,sK19))
| ~ relation(sK20)
| ~ function(sK20) ),
inference(resolution,[status(thm)],[c_57,c_111]) ).
tcf(c_6233,plain,
( in(sK0(sK20,relation_inverse_image(sK20,sK19),sK19),sK19)
| in(sK1(sK20,relation_inverse_image(sK20,sK19),sK19),relation_inverse_image(sK20,sK19)) ),
inference(global_subsumption_just,[status(thm)],[c_5721,c_114,c_113,c_5721]) ).
tcf(c_6280,plain,
( in(sK0(sK20,relation_inverse_image(sK20,sK19),sK19),sK19)
| in(sK1(sK20,relation_inverse_image(sK20,sK19),sK19),relation_dom(sK20))
| ~ relation(sK20)
| ~ function(sK20) ),
inference(resolution,[status(thm)],[c_6233,c_67]) ).
tcf(c_6570,plain,
( in(sK0(sK20,relation_inverse_image(sK20,sK19),sK19),sK19)
| in(sK1(sK20,relation_inverse_image(sK20,sK19),sK19),relation_dom(sK20)) ),
inference(global_subsumption_just,[status(thm)],[c_6280,c_114,c_113,c_6280]) ).
tcf(c_7166,plain,
! [X0: $i] :
( in(sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19)),relation_inverse_image(sK20,X0))
| ~ relation(sK20)
| ~ function(sK20)
| ~ in(sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19)),relation_dom(sK20))
| ~ in(apply(sK20,sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19))),X0) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_7506,plain,
( in(apply(sK20,sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19))),sK19)
| ~ in(sK0(sK20,relation_inverse_image(sK20,sK19),sK19),sK19)
| ( sK19 != sK19 )
| ( apply(sK20,sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19))) != sK0(sK20,relation_inverse_image(sK20,sK19),sK19) ) ),
inference(instantiation,[status(thm)],[c_2290]) ).
tcf(c_15149,plain,
( in(sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19)),relation_inverse_image(sK20,sK19))
| ~ relation(sK20)
| ~ function(sK20)
| ~ in(sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19)),relation_dom(sK20))
| ~ in(apply(sK20,sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19))),sK19) ),
inference(instantiation,[status(thm)],[c_7166]) ).
tcf(c_115283,plain,
! [X0: $i,X1: $i] :
( ( relation_image(X0,relation_inverse_image(sK20,sK19)) = X1 )
| ~ relation(X0)
| ~ function(X0)
| ~ in(sK0(X0,relation_inverse_image(sK20,sK19),X1),X1)
| ~ in(sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19)),relation_dom(X0))
| ~ in(sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19)),relation_inverse_image(sK20,sK19))
| ( sK0(X0,relation_inverse_image(sK20,sK19),X1) != apply(X0,sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19))) ) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_123682,plain,
! [X0: $i,X1: $i] :
( ( X1 = apply(sK20,sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19))) )
| ( X1 != X0 )
| ( apply(sK20,sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19))) != X0 ) ),
inference(instantiation,[status(thm)],[c_187]) ).
tcf(c_139824,plain,
! [X0: $i] :
( ( X0 = apply(sK20,sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19))) )
| ( X0 != sK0(sK20,relation_inverse_image(sK20,sK19),sK19) )
| ( apply(sK20,sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19))) != sK0(sK20,relation_inverse_image(sK20,sK19),sK19) ) ),
inference(instantiation,[status(thm)],[c_123682]) ).
tcf(c_141916,plain,
( ( sK0(sK20,relation_inverse_image(sK20,sK19),sK19) = apply(sK20,sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19))) )
| ( sK0(sK20,relation_inverse_image(sK20,sK19),sK19) != sK0(sK20,relation_inverse_image(sK20,sK19),sK19) )
| ( apply(sK20,sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19))) != sK0(sK20,relation_inverse_image(sK20,sK19),sK19) ) ),
inference(instantiation,[status(thm)],[c_139824]) ).
tcf(c_176447,plain,
( ( relation_image(sK20,relation_inverse_image(sK20,sK19)) = sK19 )
| ~ relation(sK20)
| ~ function(sK20)
| ~ in(sK0(sK20,relation_inverse_image(sK20,sK19),sK19),sK19)
| ~ in(sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19)),relation_dom(sK20))
| ~ in(sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19)),relation_inverse_image(sK20,sK19))
| ( sK0(sK20,relation_inverse_image(sK20,sK19),sK19) != apply(sK20,sK7(sK20,sK0(sK20,relation_inverse_image(sK20,sK19),sK19))) ) ),
inference(instantiation,[status(thm)],[c_115283]) ).
tcf(c_224666,plain,
( in(sK0(sK20,relation_inverse_image(sK20,sK19),sK19),sK19)
| in(sK1(sK20,relation_inverse_image(sK20,sK19),sK19),relation_dom(sK20))
| ( relation_image(sK20,relation_inverse_image(sK20,sK19)) = sK19 )
| ~ relation(sK20)
| ~ function(sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_224667,plain,
( in(sK0(sK20,relation_inverse_image(sK20,sK19),sK19),sK19)
| in(sK1(sK20,relation_inverse_image(sK20,sK19),sK19),relation_inverse_image(sK20,sK19))
| ( relation_image(sK20,relation_inverse_image(sK20,sK19)) = sK19 )
| ~ relation(sK20)
| ~ function(sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_224668,plain,
( in(sK0(sK20,relation_inverse_image(sK20,sK19),sK19),sK19)
| ( relation_image(sK20,relation_inverse_image(sK20,sK19)) = sK19 )
| ( apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)) = sK0(sK20,relation_inverse_image(sK20,sK19),sK19) )
| ~ relation(sK20)
| ~ function(sK20) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_224703,plain,
in(sK1(sK20,relation_inverse_image(sK20,sK19),sK19),relation_dom(sK20)),
inference(global_subsumption_just,[status(thm)],[c_224666,c_114,c_113,c_112,c_111,c_1463,c_1464,c_1637,c_2032,c_2031,c_3432,c_6570,c_7506,c_15149,c_141916,c_176447]) ).
tcf(c_224718,plain,
in(sK1(sK20,relation_inverse_image(sK20,sK19),sK19),relation_inverse_image(sK20,sK19)),
inference(global_subsumption_just,[status(thm)],[c_224667,c_114,c_113,c_112,c_111,c_1463,c_1464,c_1637,c_2032,c_2031,c_3432,c_6233,c_7506,c_15149,c_141916,c_176447]) ).
tcf(c_224731,plain,
apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)) = sK0(sK20,relation_inverse_image(sK20,sK19),sK19),
inference(global_subsumption_just,[status(thm)],[c_224668,c_114,c_113,c_112,c_111,c_224,c_1463,c_1464,c_1637,c_2032,c_2031,c_3432,c_7506,c_15149,c_141916,c_176447]) ).
tcf(c_225099,plain,
! [X0: $i,X1: $i] :
( in(X0,X1)
| ~ in(apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)),sK19)
| ( X1 != sK19 )
| ( X0 != apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)) ) ),
inference(instantiation,[status(thm)],[c_188]) ).
tcf(c_225861,plain,
! [X0: $i,X1: $i] :
( ( sK0(sK20,relation_inverse_image(sK20,sK19),X1) = apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)) )
| ( sK0(sK20,relation_inverse_image(sK20,sK19),X1) != X0 )
| ( apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)) != X0 ) ),
inference(instantiation,[status(thm)],[c_187]) ).
tcf(c_226698,plain,
! [X0: $i,X1: $i] :
( in(X0,X1)
| ( X0 != apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)) )
| ( X1 != sK19 ) ),
inference(global_subsumption_just,[status(thm)],[c_225099,c_114,c_113,c_809,c_2527,c_224718]) ).
tcf(c_226699,plain,
! [X0: $i,X1: $i] :
( in(X0,X1)
| ( X1 != sK19 )
| ( X0 != apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)) ) ),
inference(renaming,[status(thm)],[c_226698]) ).
tcf(c_226720,plain,
! [X0: $i] :
( in(X0,sK19)
| ( sK19 != sK19 )
| ( X0 != apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)) ) ),
inference(instantiation,[status(thm)],[c_226699]) ).
tcf(c_229095,plain,
! [X0: $i] :
( ( sK0(sK20,relation_inverse_image(sK20,sK19),X0) = apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)) )
| ( sK0(sK20,relation_inverse_image(sK20,sK19),X0) != sK0(sK20,relation_inverse_image(sK20,sK19),X0) )
| ( apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)) != sK0(sK20,relation_inverse_image(sK20,sK19),X0) ) ),
inference(instantiation,[status(thm)],[c_225861]) ).
tcf(c_229096,plain,
! [X0: $i] : sK0(sK20,relation_inverse_image(sK20,sK19),X0) = sK0(sK20,relation_inverse_image(sK20,sK19),X0),
inference(instantiation,[status(thm)],[c_185]) ).
tcf(c_230560,plain,
! [X0: $i] :
( in(X0,sK19)
| ( X0 != apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)) ) ),
inference(global_subsumption_just,[status(thm)],[c_226720,c_1463,c_1464,c_226720]) ).
tcf(c_234712,plain,
! [X0: $i] :
( ( sK0(sK20,relation_inverse_image(sK20,sK19),X0) = apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)) )
| ( apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)) != sK0(sK20,relation_inverse_image(sK20,sK19),X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_229095,c_229095,c_229096]) ).
tcf(c_234718,plain,
( ( sK0(sK20,relation_inverse_image(sK20,sK19),sK19) = apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)) )
| ( apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)) != sK0(sK20,relation_inverse_image(sK20,sK19),sK19) ) ),
inference(instantiation,[status(thm)],[c_234712]) ).
tcf(c_237147,plain,
( in(sK0(sK20,relation_inverse_image(sK20,sK19),sK19),sK19)
| ( sK0(sK20,relation_inverse_image(sK20,sK19),sK19) != apply(sK20,sK1(sK20,relation_inverse_image(sK20,sK19),sK19)) ) ),
inference(instantiation,[status(thm)],[c_230560]) ).
tcf(c_237148,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_237147,c_234718,c_224731,c_224718,c_224703,c_3021,c_111,c_113,c_114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU228+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 13:19:18 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 97.55/26.03 % SZS status Started for theBenchmark.p
% 97.55/26.03 % SZS status Theorem for theBenchmark.p
% 97.55/26.03
% 97.55/26.03 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 97.55/26.03
% 97.55/26.03 % ------ iProver source info
% 97.55/26.03
% 97.55/26.03 % git: date: 2026-07-19 20:42:38 +0200
% 97.55/26.03 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 97.55/26.03 % git: non_committed_changes: false
% 97.55/26.03
% 97.55/26.03 % ------ Parsing...
% 97.55/26.03 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 97.55/26.03
% 97.55/26.03 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e %
% 97.55/26.03
% 97.55/26.03 % ------ Preprocessing...%
% 97.55/26.03
% 97.55/26.03 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 97.55/26.03 % ------ Proving...
% 97.55/26.03 % ------ Problem Properties
% 97.55/26.03
% 97.55/26.03 %
% 97.55/26.03 % clauses 70
% 97.55/26.03 % conjectures 4
% 97.55/26.03 % EPR 29
% 97.55/26.03 % Horn 60
% 97.55/26.03 % unary 25
% 97.55/26.03 % binary 16
% 97.55/26.03 % lits 180
% 97.55/26.03 % lits eq 20
% 97.55/26.03 % fd_pure 0
% 97.55/26.03 % fd_pseudo 0
% 97.55/26.03 % fd_cond 1
% 97.55/26.03 % fd_pseudo_cond 12
% 97.55/26.03 % AC symbols 0
% 97.55/26.03
% 97.55/26.03 % ------ Input Options Time Limit: Unbounded
% 97.55/26.03
% 97.55/26.03
% 97.55/26.03 % ------
% 97.55/26.03 % Current options:
% 97.55/26.03 % ------
% 97.55/26.03
% 97.55/26.03
% 97.55/26.03 %
% 97.55/26.03
% 97.55/26.03 % ------ Proving...
% 97.55/26.03 %
% 97.55/26.03
% 97.55/26.03 % SZS status Theorem for theBenchmark.p
% 97.55/26.03
% 97.55/26.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 97.55/26.03
% 97.55/26.03
%------------------------------------------------------------------------------