%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET665+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 02:47:44 PM UTC 2026
% Result : Theorem 7.94s 1.73s
% Output : CNFRefutation 7.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 132 ( 19 unt; 2 def)
% Number of atoms : 642 ( 52 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 756 ( 316 ~; 319 |; 79 &)
% ( 16 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 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 : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 308 ( 0 sgn 285 !; 23 ?; 139 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(ordered_pair(X1,X2),identity_relation_of(X0))
<=> ( X1 = X2
& member(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(ordered_pair(X0,X1),cross_product(X2,X3))
<=> ( member(X1,X3)
& member(X0,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
fof(f5,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,cross_product(X0,X1))
<=> ? [X3] :
( ? [X4] :
( X2 = ordered_pair(X3,X4)
& member(X4,X1)
& member(X3,X0)
& ilf_type(X4,set_type) )
& ilf_type(X3,set_type) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5) ).
fof(f7,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(ordered_pair(X1,X2),identity_relation_of(X0))
<=> ( X1 = X2
& member(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7) ).
fof(f8,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ilf_type(identity_relation_of(X0),binary_relation_type) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9) ).
fof(f10,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(ordered_pair(X0,X1),set_type) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10) ).
fof(f11,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11) ).
fof(f19,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( relation_like(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X1,X0)
=> ? [X2] :
( ? [X3] :
( X1 = ordered_pair(X2,X3)
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19) ).
fof(f27,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27) ).
fof(f28,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> subset(identity_relation_of(X0),cross_product(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_28) ).
fof(f29,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> subset(identity_relation_of(X0),cross_product(X0,X0)) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f32,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ( member(ordered_pair(X1,X2),identity_relation_of(X0))
<=> ( X1 = X2
& member(X1,X0) ) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f33,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ( member(ordered_pair(X0,X1),cross_product(X2,X3))
<=> ( member(X1,X3)
& member(X0,X2) ) ) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f35,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ( member(X2,cross_product(X0,X1))
<=> ? [X3] :
( ? [X4] :
( X2 = ordered_pair(X3,X4)
& member(X4,X1)
& member(X3,X0)
& ilf_type(X4,set_type) )
& ilf_type(X3,set_type) ) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f37,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ( member(ordered_pair(X1,X2),identity_relation_of(X0))
<=> ( X1 = X2
& member(X1,X0) ) ) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f38,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ilf_type(identity_relation_of(X0),binary_relation_type) ),
inference(ennf_transformation,[],[f8]) ).
fof(f39,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( subset(X0,X1)
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) ) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f40,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( subset(X0,X1)
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) ) ) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ilf_type(ordered_pair(X0,X1),set_type) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f42,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f49,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( relation_like(X0)
<=> ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0)
| ? [X2] :
( ? [X3] :
( X1 = ordered_pair(X2,X3)
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) ) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f50,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( relation_like(X0)
<=> ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0)
| ? [X2] :
( ? [X3] :
( X1 = ordered_pair(X2,X3)
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) ) ) ),
inference(flattening,[],[f49]) ).
fof(f62,plain,
? [X0] :
( ilf_type(X0,set_type)
& ~ subset(identity_relation_of(X0),cross_product(X0,X0)) ),
inference(ennf_transformation,[],[f29]) ).
fof(f66,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ( ( ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| ( X1 = X2
& member(X1,X0) ) )
& ( X1 != X2
| ~ member(X1,X0)
| member(ordered_pair(X1,X2),identity_relation_of(X0)) ) ) ) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f67,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ( ( ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| ( X1 = X2
& member(X1,X0) ) )
& ( X1 != X2
| ~ member(X1,X0)
| member(ordered_pair(X1,X2),identity_relation_of(X0)) ) ) ) ) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ( ( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| ( member(X1,X3)
& member(X0,X2) ) )
& ( ~ member(X1,X3)
| ~ member(X0,X2)
| member(ordered_pair(X0,X1),cross_product(X2,X3)) ) ) ) ) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f69,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ( ( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| ( member(X1,X3)
& member(X0,X2) ) )
& ( ~ member(X1,X3)
| ~ member(X0,X2)
| member(ordered_pair(X0,X1),cross_product(X2,X3)) ) ) ) ) ) ),
inference(flattening,[],[f68]) ).
fof(f70,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ( ( ~ member(X2,cross_product(X0,X1))
| ? [X3] :
( ? [X4] :
( X2 = ordered_pair(X3,X4)
& member(X4,X1)
& member(X3,X0)
& ilf_type(X4,set_type) )
& ilf_type(X3,set_type) ) )
& ( ! [X3] :
( ! [X4] :
( ordered_pair(X3,X4) != X2
| ~ member(X4,X1)
| ~ member(X3,X0)
| ~ ilf_type(X4,set_type) )
| ~ ilf_type(X3,set_type) )
| member(X2,cross_product(X0,X1)) ) ) ) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f71,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ( ( ~ member(X2,cross_product(X0,X1))
| ? [X5] :
( ? [X6] :
( ordered_pair(X5,X6) = X2
& member(X6,X1)
& member(X5,X0)
& ilf_type(X6,set_type) )
& ilf_type(X5,set_type) ) )
& ( ! [X3] :
( ! [X4] :
( ordered_pair(X3,X4) != X2
| ~ member(X4,X1)
| ~ member(X3,X0)
| ~ ilf_type(X4,set_type) )
| ~ ilf_type(X3,set_type) )
| member(X2,cross_product(X0,X1)) ) ) ) ) ),
inference(rectify,[],[f70]) ).
fof(f72,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ( ( ~ member(X2,cross_product(X0,X1))
| ( ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)) = X2
& member(sK3(X0,X1,X2),X1)
& member(sK2(X0,X1,X2),X0)
& ilf_type(sK3(X0,X1,X2),set_type)
& ilf_type(sK2(X0,X1,X2),set_type) ) )
& ( ! [X3] :
( ! [X4] :
( ordered_pair(X3,X4) != X2
| ~ member(X4,X1)
| ~ member(X3,X0)
| ~ ilf_type(X4,set_type) )
| ~ ilf_type(X3,set_type) )
| member(X2,cross_product(X0,X1)) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X5,sK2(X0,X1,X2)),skolemize(X6,sK3(X0,X1,X2))],[f71]) ).
fof(f73,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ( ( ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| ( X1 = X2
& member(X1,X0) ) )
& ( X1 != X2
| ~ member(X1,X0)
| member(ordered_pair(X1,X2),identity_relation_of(X0)) ) ) ) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f74,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ( ( ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| ( X1 = X2
& member(X1,X0) ) )
& ( X1 != X2
| ~ member(X1,X0)
| member(ordered_pair(X1,X2),identity_relation_of(X0)) ) ) ) ) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ subset(X0,X1)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1) ) )
& ( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f76,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ subset(X0,X1)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ) )
& ( ? [X2] :
( ilf_type(X2,set_type)
& member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ) ) ) ),
inference(rectify,[],[f75]) ).
fof(f77,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ subset(X0,X1)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X0)
| member(X3,X1) ) )
& ( ( ilf_type(sK4(X0,X1),set_type)
& member(sK4(X0,X1),X0)
& ~ member(sK4(X0,X1),X1) )
| subset(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f76]) ).
fof(f78,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ~ ilf_type(X0,binary_relation_type)
| ( ilf_type(X0,set_type)
& relation_like(X0) ) )
& ( ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f79,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ~ ilf_type(X0,binary_relation_type)
| ( ilf_type(X0,set_type)
& relation_like(X0) ) )
& ( ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ) ) ),
inference(flattening,[],[f78]) ).
fof(f84,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ~ relation_like(X0)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0)
| ? [X2] :
( ? [X3] :
( X1 = ordered_pair(X2,X3)
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) ) ) )
& ( ? [X1] :
( ilf_type(X1,set_type)
& member(X1,X0)
& ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) ) )
| relation_like(X0) ) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f85,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ~ relation_like(X0)
| ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(X4,X0)
| ? [X5] :
( ? [X6] :
( ordered_pair(X5,X6) = X4
& ilf_type(X6,set_type) )
& ilf_type(X5,set_type) ) ) )
& ( ? [X1] :
( ilf_type(X1,set_type)
& member(X1,X0)
& ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) ) )
| relation_like(X0) ) ) ),
inference(rectify,[],[f84]) ).
fof(f86,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ~ relation_like(X0)
| ! [X4] :
( ~ ilf_type(X4,set_type)
| ~ member(X4,X0)
| ( ordered_pair(sK9(X4),sK10(X4)) = X4
& ilf_type(sK10(X4),set_type)
& ilf_type(sK9(X4),set_type) ) ) )
& ( ( ilf_type(sK8(X0),set_type)
& member(sK8(X0),X0)
& ! [X2] :
( ! [X3] :
( ordered_pair(X2,X3) != sK8(X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) ) )
| relation_like(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X1,sK8(X0)),skolemize(X5,sK9(X4)),skolemize(X6,sK10(X4))],[f85]) ).
fof(f95,plain,
( ilf_type(sK14,set_type)
& ~ subset(identity_relation_of(sK14),cross_product(sK14,sK14)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X0,sK14)],[f62]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| X1 = X2 ),
inference(cnf_transformation,[],[f67]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| member(X1,X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f104,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
inference(cnf_transformation,[],[f69]) ).
fof(f113,plain,
! [X2,X3,X0,X1,X4] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ordered_pair(X3,X4) != X2
| ~ member(X4,X1)
| ~ member(X3,X0)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| member(X2,cross_product(X0,X1)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| X1 = X2 ),
inference(cnf_transformation,[],[f74]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| member(X1,X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f118,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ilf_type(identity_relation_of(X0),binary_relation_type) ),
inference(cnf_transformation,[],[f38]) ).
fof(f121,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(sK4(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f122,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(sK4(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f123,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(ordered_pair(X0,X1),set_type) ),
inference(cnf_transformation,[],[f41]) ).
fof(f125,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,binary_relation_type)
| relation_like(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f136,plain,
! [X0,X4] :
( ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ~ ilf_type(X4,set_type)
| ~ member(X4,X0)
| ordered_pair(sK9(X4),sK10(X4)) = X4 ),
inference(cnf_transformation,[],[f86]) ).
fof(f156,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f27]) ).
fof(f158,plain,
~ subset(identity_relation_of(sK14),cross_product(sK14,sK14)),
inference(cnf_transformation,[],[f95]) ).
fof(f160,plain,
! [X3,X0,X1,X4] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(ordered_pair(X3,X4),set_type)
| ~ member(X4,X1)
| ~ member(X3,X0)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type)
| member(ordered_pair(X3,X4),cross_product(X0,X1)) ),
inference(equality_resolution,[],[f113]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(ordered_pair(X0,X1),identity_relation_of(X2)) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(ordered_pair(X0,X1),identity_relation_of(X2)) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X1,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(ordered_pair(X0,X1),cross_product(X3,X2))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X1,X2)
| ~ member(X0,X3)
| ~ ilf_type(ordered_pair(X0,X1),set_type) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(ordered_pair(X0,X1),identity_relation_of(X2)) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(ordered_pair(X0,X1),identity_relation_of(X2)) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_71,plain,
! [X0: $i] :
( ilf_type(identity_relation_of(X0),binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK4(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_78,plain,
! [X0: $i] :
( relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair(sK9(X0),sK10(X0)) = X0 )
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_108,plain,
! [X0: $i] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f156]) ).
tcf(c_109,negated_conjecture,
~ subset(identity_relation_of(sK14),cross_product(sK14,sK14)),
inference(cnf_transformation,[],[f158]) ).
tcf(c_167,plain,
! [X0: $i] : ilf_type(identity_relation_of(X0),binary_relation_type),
inference(global_subsumption_just,[status(thm)],[c_71,c_108,c_71]) ).
tcf(c_188,plain,
! [X0: $i] :
( relation_like(X0)
| ~ ilf_type(X0,binary_relation_type) ),
inference(global_subsumption_just,[status(thm)],[c_78,c_108,c_78]) ).
tcf(c_197,plain,
! [X0: $i,X1: $i] :
( ilf_type(ordered_pair(X0,X1),set_type)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption_just,[status(thm)],[c_76,c_108,c_76]) ).
tcf(c_198,plain,
! [X0: $i,X1: $i] :
( ilf_type(ordered_pair(X1,X0),set_type)
| ~ ilf_type(X0,set_type) ),
inference(renaming,[status(thm)],[c_197]) ).
tcf(c_199,plain,
! [X0: $i,X1: $i] : ilf_type(ordered_pair(X1,X0),set_type),
inference(global_subsumption_just,[status(thm)],[c_198,c_108,c_198]) ).
tcf(c_200,plain,
! [X0: $i,X1: $i] : ilf_type(ordered_pair(X0,X1),set_type),
inference(renaming,[status(thm)],[c_199]) ).
tcf(c_223,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK4(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(global_subsumption_just,[status(thm)],[c_73,c_108,c_73]) ).
tcf(c_224,plain,
! [X0: $i,X1: $i] :
( subset(X1,X0)
| member(sK4(X1,X0),X1)
| ~ ilf_type(X0,set_type) ),
inference(renaming,[status(thm)],[c_223]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i] :
( subset(X1,X0)
| member(sK4(X1,X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_224,c_108,c_224]) ).
tcf(c_226,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK4(X0,X1),X0) ),
inference(renaming,[status(thm)],[c_225]) ).
tcf(c_237,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ member(sK4(X0,X1),X1) ),
inference(global_subsumption_just,[status(thm)],[c_72,c_108,c_72]) ).
tcf(c_260,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X0,X1),identity_relation_of(X2)) ),
inference(global_subsumption_just,[status(thm)],[c_69,c_108,c_69]) ).
tcf(c_262,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X0,X1),identity_relation_of(X2)) ),
inference(global_subsumption_just,[status(thm)],[c_55,c_260]) ).
tcf(c_264,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair(sK9(X0),sK10(X0)) = X0 )
| ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ~ member(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_93,c_108,c_93]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X0,X1),identity_relation_of(X2)) ),
inference(global_subsumption_just,[status(thm)],[c_70,c_108,c_70]) ).
tcf(c_270,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X0,X1),identity_relation_of(X2)) ),
inference(global_subsumption_just,[status(thm)],[c_56,c_268]) ).
tcf(c_282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X1,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
inference(global_subsumption_just,[status(thm)],[c_59,c_108,c_59]) ).
tcf(c_292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(ordered_pair(X0,X1),cross_product(X3,X2))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X0,X3)
| ~ member(X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_61,c_108,c_61,c_200]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(ordered_pair(X0,X2),cross_product(X1,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(renaming,[status(thm)],[c_292]) ).
tcf(c_434,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X0,X1),identity_relation_of(X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_262,c_108]) ).
tcf(c_435,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X0,X1),identity_relation_of(X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_270,c_108]) ).
tcf(c_438,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair(sK9(X0),sK10(X0)) = X0 )
| ~ relation_like(X1)
| ~ member(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_264,c_108]) ).
tcf(c_441,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ member(sK4(X0,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_237,c_108]) ).
tcf(c_447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X1,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_282,c_108]) ).
tcf(c_451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(ordered_pair(X0,X2),cross_product(X1,X3))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_293,c_108]) ).
tcf(c_557,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(ordered_pair(X0,X1),identity_relation_of(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_434,c_108]) ).
tcf(c_579,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ member(ordered_pair(X0,X1),identity_relation_of(X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_435,c_108]) ).
tcf(c_700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X1,X3)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_447,c_108,c_108]) ).
tcf(c_720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(ordered_pair(X0,X2),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_451,c_108,c_108]) ).
tcf(c_1392,plain,
! [X0: $i] :
( ~ ilf_type(X0,binary_relation_type)
| relation_like(X0) ),
inference(prop_impl_just,[status(thm)],[c_188]) ).
tcf(c_1393,plain,
! [X0: $i] :
( relation_like(X0)
| ~ ilf_type(X0,binary_relation_type) ),
inference(renaming,[status(thm)],[c_1392]) ).
tcf(c_1404,plain,
! [X0: $i,X1: $i] :
( ~ member(sK4(X0,X1),X1)
| subset(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_441]) ).
tcf(c_1405,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ member(sK4(X0,X1),X1) ),
inference(renaming,[status(thm)],[c_1404]) ).
tcf(c_1406,plain,
! [X0: $i,X1: $i] :
( member(sK4(X0,X1),X0)
| subset(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_226]) ).
tcf(c_1407,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK4(X0,X1),X0) ),
inference(renaming,[status(thm)],[c_1406]) ).
tcf(c_1414,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(ordered_pair(X0,X1),identity_relation_of(X2)) ),
inference(prop_impl_just,[status(thm)],[c_557]) ).
tcf(c_1416,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ member(ordered_pair(X0,X1),identity_relation_of(X2)) ),
inference(prop_impl_just,[status(thm)],[c_579]) ).
tcf(c_1420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X1,X3)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
inference(prop_impl_just,[status(thm)],[c_700]) ).
tcf(c_2092,definition,
iPr_def_10 = identity_relation_of(sK14),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2093,definition,
iPr_def_11 = cross_product(sK14,sK14),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2094,negated_conjecture,
~ subset(iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_109,c_2093,c_2092]) ).
tcf(c_2965,plain,
ilf_type(iPr_def_10,binary_relation_type),
inference(superposition,[status(thm)],[c_2092,c_167]) ).
tcf(c_2981,plain,
relation_like(iPr_def_10),
inference(superposition,[status(thm)],[c_2965,c_1393]) ).
tcf(c_3116,plain,
! [X0: $i,X1: $i] :
( member(X0,sK14)
| ~ member(ordered_pair(X0,X1),iPr_def_10) ),
inference(superposition,[status(thm)],[c_2092,c_1414]) ).
tcf(c_3133,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ member(ordered_pair(X0,X1),iPr_def_10) ),
inference(superposition,[status(thm)],[c_2092,c_1416]) ).
tcf(c_3258,plain,
! [X0: $i,X1: $i] :
( member(X1,sK14)
| ~ member(ordered_pair(X0,X1),iPr_def_11) ),
inference(superposition,[status(thm)],[c_2093,c_1420]) ).
tcf(c_3291,plain,
( subset(iPr_def_10,iPr_def_11)
| ~ member(sK4(iPr_def_10,iPr_def_11),iPr_def_11) ),
inference(instantiation,[status(thm)],[c_1405]) ).
tcf(c_3296,plain,
( subset(iPr_def_10,iPr_def_11)
| member(sK4(iPr_def_10,iPr_def_11),iPr_def_10) ),
inference(instantiation,[status(thm)],[c_1407]) ).
tcf(c_3411,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ( ordered_pair(sK9(sK4(X0,X1)),sK10(sK4(X0,X1))) = sK4(X0,X1) )
| ~ relation_like(X0) ),
inference(superposition,[status(thm)],[c_1407,c_438]) ).
tcf(c_10230,plain,
( ( ordered_pair(sK9(sK4(iPr_def_10,iPr_def_11)),sK10(sK4(iPr_def_10,iPr_def_11))) = sK4(iPr_def_10,iPr_def_11) )
| ~ relation_like(iPr_def_10) ),
inference(superposition,[status(thm)],[c_3411,c_2094]) ).
tcf(c_10231,plain,
ordered_pair(sK9(sK4(iPr_def_10,iPr_def_11)),sK10(sK4(iPr_def_10,iPr_def_11))) = sK4(iPr_def_10,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_10230,c_2981]) ).
tcf(c_10646,plain,
( ( sK9(sK4(iPr_def_10,iPr_def_11)) = sK10(sK4(iPr_def_10,iPr_def_11)) )
| ~ member(sK4(iPr_def_10,iPr_def_11),iPr_def_10) ),
inference(superposition,[status(thm)],[c_10231,c_3133]) ).
tcf(c_10647,plain,
( member(sK10(sK4(iPr_def_10,iPr_def_11)),sK14)
| ~ member(sK4(iPr_def_10,iPr_def_11),iPr_def_11) ),
inference(superposition,[status(thm)],[c_10231,c_3258]) ).
tcf(c_10649,plain,
( member(sK9(sK4(iPr_def_10,iPr_def_11)),sK14)
| ~ member(sK4(iPr_def_10,iPr_def_11),iPr_def_10) ),
inference(superposition,[status(thm)],[c_10231,c_3116]) ).
tcf(c_10725,plain,
~ member(sK4(iPr_def_10,iPr_def_11),iPr_def_11),
inference(global_subsumption_just,[status(thm)],[c_10647,c_2094,c_3291]) ).
tcf(c_10727,plain,
member(sK9(sK4(iPr_def_10,iPr_def_11)),sK14),
inference(global_subsumption_just,[status(thm)],[c_10649,c_2094,c_3296,c_10649]) ).
tcf(c_10969,plain,
sK9(sK4(iPr_def_10,iPr_def_11)) = sK10(sK4(iPr_def_10,iPr_def_11)),
inference(global_subsumption_just,[status(thm)],[c_10646,c_2094,c_3296,c_10646]) ).
tcf(c_10972,plain,
ordered_pair(sK9(sK4(iPr_def_10,iPr_def_11)),sK9(sK4(iPr_def_10,iPr_def_11))) = sK4(iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_10231,c_10969]) ).
tcf(c_11935,plain,
! [X0: $i,X1: $i] :
( member(ordered_pair(X0,X1),iPr_def_11)
| ~ member(X1,sK14)
| ~ member(X0,sK14) ),
inference(superposition,[status(thm)],[c_2093,c_720]) ).
tcf(c_12170,plain,
( member(sK4(iPr_def_10,iPr_def_11),iPr_def_11)
| ~ member(sK9(sK4(iPr_def_10,iPr_def_11)),sK14) ),
inference(superposition,[status(thm)],[c_10972,c_11935]) ).
tcf(c_12182,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_12170,c_10725,c_10727]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET665+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 11:37:13 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 7.94/1.73 % SZS status Started for theBenchmark.p
% 7.94/1.73 % SZS status Theorem for theBenchmark.p
% 7.94/1.73
% 7.94/1.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.94/1.73
% 7.94/1.73 % ------ iProver source info
% 7.94/1.73
% 7.94/1.73 % git: date: 2026-07-19 20:42:38 +0200
% 7.94/1.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.94/1.73 % git: non_committed_changes: false
% 7.94/1.73
% 7.94/1.73 % ------ Parsing...
% 7.94/1.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.94/1.73
% 7.94/1.73 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 7.94/1.73
% 7.94/1.73 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 7.94/1.73
% 7.94/1.73 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.94/1.73 % ------ Proving...
% 7.94/1.73 % ------ Problem Properties
% 7.94/1.73
% 7.94/1.73 %
% 7.94/1.73 % clauses 44
% 7.94/1.73 % conjectures 1
% 7.94/1.73 % EPR 9
% 7.94/1.73 % Horn 37
% 7.94/1.73 % unary 11
% 7.94/1.73 % binary 26
% 7.94/1.73 % lits 86
% 7.94/1.73 % lits eq 6
% 7.94/1.73 % fd_pure 0
% 7.94/1.73 % fd_pseudo 0
% 7.94/1.73 % fd_cond 0
% 7.94/1.73 % fd_pseudo_cond 1
% 7.94/1.73 % AC symbols 0
% 7.94/1.73
% 7.94/1.73 % ------ Schedule dynamic 5 is on
% 7.94/1.73
% 7.94/1.73 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.94/1.73
% 7.94/1.73
% 7.94/1.73 % ------
% 7.94/1.73 % Current options:
% 7.94/1.73 % ------
% 7.94/1.73
% 7.94/1.73
% 7.94/1.73 %
% 7.94/1.73
% 7.94/1.73 % ------ Proving...
% 7.94/1.73 %
% 7.94/1.73
% 7.94/1.73 % SZS status Theorem for theBenchmark.p
% 7.94/1.73
% 7.94/1.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.94/1.73
% 7.94/1.73
%------------------------------------------------------------------------------