TSTP Solution File: SET655+3 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET655+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 15:08:57 EDT 2023
% Result : Theorem 7.69s 1.67s
% Output : CNFRefutation 7.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of formulae : 150 ( 15 unt; 0 def)
% Number of atoms : 641 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 816 ( 325 ~; 313 |; 116 &)
% ( 13 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 363 ( 2 sgn; 137 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,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)
=> ( ( subset(X2,X3)
& subset(X0,X1) )
=> subset(cross_product(X0,X2),cross_product(X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f5,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/sandbox2/benchmark/theBenchmark.p',p5) ).
fof(f7,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> subset(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9) ).
fof(f10,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X0,power_set(X1))
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10) ).
fof(f11,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11) ).
fof(f12,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12) ).
fof(f14,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( empty(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14) ).
fof(f19,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).
fof(f20,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X2))
=> ( ( subset(X2,X3)
& subset(X0,X1) )
=> ilf_type(X4,relation_type(X1,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_17) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X2))
=> ( ( subset(X2,X3)
& subset(X0,X1) )
=> ilf_type(X4,relation_type(X1,X3)) ) ) ) ) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f22,plain,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
=> ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
inference(rectify,[],[f3]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f26,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f22]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f5]) ).
fof(f30,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f29]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f7]) ).
fof(f34,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f9]) ).
fof(f35,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f10]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0] :
( ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f11]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f12]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f38]) ).
fof(f42,plain,
! [X0] :
( ( empty(X0)
<=> ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f14]) ).
fof(f49,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(X1,X3))
& subset(X2,X3)
& subset(X0,X1)
& ilf_type(X4,relation_type(X0,X2)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f50,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(X1,X3))
& subset(X2,X3)
& subset(X0,X1)
& ilf_type(X4,relation_type(X0,X2)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f49]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f30]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f53]) ).
fof(f55,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) )
=> ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0)
& ilf_type(sK1(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0)
& ilf_type(sK1(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f54,f55]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) )
& ( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f32]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f36]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f60]) ).
fof(f62,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) )
=> ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0)
& ilf_type(sK3(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0)
& ilf_type(sK3(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f61,f62]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) )
& ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f39]) ).
fof(f67,plain,
! [X0] :
( ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f42]) ).
fof(f68,plain,
! [X0] :
( ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f67]) ).
fof(f69,plain,
! [X0] :
( ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) )
=> ( member(sK5(X0),X0)
& ilf_type(sK5(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0] :
( ( ( empty(X0)
| ( member(sK5(X0),X0)
& ilf_type(sK5(X0),set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f68,f69]) ).
fof(f77,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(X1,X3))
& subset(X2,X3)
& subset(X0,X1)
& ilf_type(X4,relation_type(X0,X2)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(X1,X3))
& subset(X2,X3)
& subset(sK9,X1)
& ilf_type(X4,relation_type(sK9,X2)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(sK9,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(X1,X3))
& subset(X2,X3)
& subset(sK9,X1)
& ilf_type(X4,relation_type(sK9,X2)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(sK10,X3))
& subset(X2,X3)
& subset(sK9,sK10)
& ilf_type(X4,relation_type(sK9,X2)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(sK10,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(sK10,X3))
& subset(X2,X3)
& subset(sK9,sK10)
& ilf_type(X4,relation_type(sK9,X2)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
=> ( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(sK10,X3))
& subset(sK11,X3)
& subset(sK9,sK10)
& ilf_type(X4,relation_type(sK9,sK11)) )
& ilf_type(X3,set_type) )
& ilf_type(sK11,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(sK10,X3))
& subset(sK11,X3)
& subset(sK9,sK10)
& ilf_type(X4,relation_type(sK9,sK11)) )
& ilf_type(X3,set_type) )
=> ( ? [X4] :
( ~ ilf_type(X4,relation_type(sK10,sK12))
& subset(sK11,sK12)
& subset(sK9,sK10)
& ilf_type(X4,relation_type(sK9,sK11)) )
& ilf_type(sK12,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
( ? [X4] :
( ~ ilf_type(X4,relation_type(sK10,sK12))
& subset(sK11,sK12)
& subset(sK9,sK10)
& ilf_type(X4,relation_type(sK9,sK11)) )
=> ( ~ ilf_type(sK13,relation_type(sK10,sK12))
& subset(sK11,sK12)
& subset(sK9,sK10)
& ilf_type(sK13,relation_type(sK9,sK11)) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
( ~ ilf_type(sK13,relation_type(sK10,sK12))
& subset(sK11,sK12)
& subset(sK9,sK10)
& ilf_type(sK13,relation_type(sK9,sK11))
& ilf_type(sK12,set_type)
& ilf_type(sK11,set_type)
& ilf_type(sK10,set_type)
& ilf_type(sK9,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13])],[f50,f81,f80,f79,f78,f77]) ).
fof(f84,plain,
! [X2,X3,X0,X1] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f26]) ).
fof(f85,plain,
! [X3,X0,X1] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f27]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f27]) ).
fof(f88,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f56]) ).
fof(f93,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f57]) ).
fof(f94,plain,
! [X0,X1] :
( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f57]) ).
fof(f96,plain,
! [X0] :
( subset(X0,X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f34]) ).
fof(f97,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f63]) ).
fof(f99,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK3(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f63]) ).
fof(f100,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK3(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f63]) ).
fof(f101,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f37]) ).
fof(f103,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f64]) ).
fof(f104,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| ~ ilf_type(X1,set_type)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f64]) ).
fof(f106,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f70]) ).
fof(f118,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f19]) ).
fof(f123,plain,
ilf_type(sK13,relation_type(sK9,sK11)),
inference(cnf_transformation,[],[f82]) ).
fof(f124,plain,
subset(sK9,sK10),
inference(cnf_transformation,[],[f82]) ).
fof(f125,plain,
subset(sK11,sK12),
inference(cnf_transformation,[],[f82]) ).
fof(f126,plain,
~ ilf_type(sK13,relation_type(sK10,sK12)),
inference(cnf_transformation,[],[f82]) ).
cnf(c_50,plain,
( ~ subset(X0,X1)
| ~ subset(X2,X3)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| subset(cross_product(X0,X2),cross_product(X1,X3)) ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_51,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_52,plain,
( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_57,plain,
( ~ subset(X0,X1)
| ~ member(X2,X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| member(X2,X1) ),
inference(cnf_transformation,[],[f88]) ).
cnf(c_59,plain,
( ~ ilf_type(X0,member_type(power_set(X1)))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X0,subset_type(X1)) ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_60,plain,
( ~ ilf_type(X0,subset_type(X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X0,member_type(power_set(X1))) ),
inference(cnf_transformation,[],[f93]) ).
cnf(c_62,plain,
( ~ ilf_type(X0,set_type)
| subset(X0,X0) ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_63,plain,
( ~ member(sK3(X0,X1),X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f100]) ).
cnf(c_64,plain,
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(sK3(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_66,plain,
( ~ member(X0,power_set(X1))
| ~ member(X2,X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| member(X2,X1) ),
inference(cnf_transformation,[],[f97]) ).
cnf(c_68,plain,
( ~ ilf_type(X0,set_type)
| ~ empty(power_set(X0)) ),
inference(cnf_transformation,[],[f101]) ).
cnf(c_69,plain,
( ~ member(X0,X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X0,member_type(X1))
| empty(X1) ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_70,plain,
( ~ ilf_type(X0,member_type(X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f103]) ).
cnf(c_74,plain,
( ~ member(X0,X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_84,plain,
ilf_type(X0,set_type),
inference(cnf_transformation,[],[f118]) ).
cnf(c_85,negated_conjecture,
~ ilf_type(sK13,relation_type(sK10,sK12)),
inference(cnf_transformation,[],[f126]) ).
cnf(c_86,negated_conjecture,
subset(sK11,sK12),
inference(cnf_transformation,[],[f125]) ).
cnf(c_87,negated_conjecture,
subset(sK9,sK10),
inference(cnf_transformation,[],[f124]) ).
cnf(c_88,negated_conjecture,
ilf_type(sK13,relation_type(sK9,sK11)),
inference(cnf_transformation,[],[f123]) ).
cnf(c_123,plain,
subset(X0,X0),
inference(global_subsumption_just,[status(thm)],[c_62,c_84,c_62]) ).
cnf(c_126,plain,
~ empty(power_set(X0)),
inference(global_subsumption_just,[status(thm)],[c_68,c_84,c_68]) ).
cnf(c_183,plain,
( ~ ilf_type(X1,set_type)
| member(sK3(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_64,c_84,c_64]) ).
cnf(c_184,plain,
( ~ ilf_type(X0,set_type)
| member(sK3(X1,X0),X1)
| member(X1,power_set(X0)) ),
inference(renaming,[status(thm)],[c_183]) ).
cnf(c_185,plain,
( member(sK3(X1,X0),X1)
| member(X1,power_set(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_184,c_84,c_184]) ).
cnf(c_186,plain,
( member(sK3(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(renaming,[status(thm)],[c_185]) ).
cnf(c_190,plain,
( ~ ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| member(X0,X1)
| empty(X1) ),
inference(global_subsumption_just,[status(thm)],[c_70,c_84,c_70]) ).
cnf(c_192,plain,
( ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| ~ member(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_69,c_84,c_74,c_69]) ).
cnf(c_193,plain,
( ~ member(X0,X1)
| ~ ilf_type(X1,set_type)
| ilf_type(X0,member_type(X1)) ),
inference(renaming,[status(thm)],[c_192]) ).
cnf(c_195,plain,
( ~ member(sK3(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| member(X0,power_set(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_63,c_84,c_63]) ).
cnf(c_197,plain,
( ~ ilf_type(X0,subset_type(X1))
| ~ ilf_type(X1,set_type)
| ilf_type(X0,member_type(power_set(X1))) ),
inference(global_subsumption_just,[status(thm)],[c_60,c_84,c_60]) ).
cnf(c_199,plain,
( ~ ilf_type(X0,member_type(power_set(X1)))
| ~ ilf_type(X1,set_type)
| ilf_type(X0,subset_type(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_59,c_84,c_59]) ).
cnf(c_209,plain,
( ~ member(X2,X0)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| member(X2,X1) ),
inference(global_subsumption_just,[status(thm)],[c_57,c_84,c_57]) ).
cnf(c_210,plain,
( ~ subset(X0,X1)
| ~ member(X2,X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| member(X2,X1) ),
inference(renaming,[status(thm)],[c_209]) ).
cnf(c_213,plain,
( ~ member(X2,X0)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| member(X2,X1) ),
inference(global_subsumption_just,[status(thm)],[c_66,c_84,c_66]) ).
cnf(c_214,plain,
( ~ member(X0,power_set(X1))
| ~ member(X2,X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| member(X2,X1) ),
inference(renaming,[status(thm)],[c_213]) ).
cnf(c_215,plain,
( ~ subset(X2,X3)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| subset(cross_product(X0,X2),cross_product(X1,X3)) ),
inference(global_subsumption_just,[status(thm)],[c_50,c_84,c_50]) ).
cnf(c_216,plain,
( ~ subset(X0,X1)
| ~ subset(X2,X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| subset(cross_product(X0,X2),cross_product(X1,X3)) ),
inference(renaming,[status(thm)],[c_215]) ).
cnf(c_219,plain,
( ~ member(sK3(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_195,c_84]) ).
cnf(c_221,plain,
( ~ subset(X0,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| member(X2,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_210,c_84]) ).
cnf(c_222,plain,
( ~ ilf_type(X0,subset_type(X1))
| ilf_type(X0,member_type(power_set(X1))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_197,c_84]) ).
cnf(c_223,plain,
( ~ ilf_type(X0,member_type(power_set(X1)))
| ilf_type(X0,subset_type(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_199,c_84]) ).
cnf(c_225,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_84]) ).
cnf(c_228,plain,
( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X2,set_type)
| ilf_type(X0,relation_type(X1,X2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_84]) ).
cnf(c_229,plain,
( ~ subset(X0,X1)
| ~ subset(X2,X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| subset(cross_product(X0,X2),cross_product(X1,X3)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_216,c_84]) ).
cnf(c_231,plain,
( ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_193,c_84]) ).
cnf(c_232,plain,
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| empty(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_190,c_84]) ).
cnf(c_233,plain,
( ~ member(X0,power_set(X1))
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| member(X2,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_214,c_84]) ).
cnf(c_343,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_225,c_84]) ).
cnf(c_354,plain,
( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
| ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_228,c_84]) ).
cnf(c_366,plain,
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_221,c_84]) ).
cnf(c_394,plain,
( ~ member(X0,power_set(X1))
| ~ member(X2,X0)
| member(X2,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_233,c_84]) ).
cnf(c_409,plain,
( ~ subset(X0,X1)
| ~ subset(X2,X3)
| subset(cross_product(X0,X2),cross_product(X1,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_229,c_84,c_84]) ).
cnf(c_674,plain,
( ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(prop_impl_just,[status(thm)],[c_354]) ).
cnf(c_675,plain,
( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
| ilf_type(X0,relation_type(X1,X2)) ),
inference(renaming,[status(thm)],[c_674]) ).
cnf(c_676,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(prop_impl_just,[status(thm)],[c_343]) ).
cnf(c_678,plain,
( ilf_type(X0,subset_type(X1))
| ~ ilf_type(X0,member_type(power_set(X1))) ),
inference(prop_impl_just,[status(thm)],[c_223]) ).
cnf(c_679,plain,
( ~ ilf_type(X0,member_type(power_set(X1)))
| ilf_type(X0,subset_type(X1)) ),
inference(renaming,[status(thm)],[c_678]) ).
cnf(c_680,plain,
( ~ ilf_type(X0,subset_type(X1))
| ilf_type(X0,member_type(power_set(X1))) ),
inference(prop_impl_just,[status(thm)],[c_222]) ).
cnf(c_690,plain,
( ~ member(sK3(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(prop_impl_just,[status(thm)],[c_219]) ).
cnf(c_694,plain,
( member(X0,power_set(X1))
| member(sK3(X0,X1),X0) ),
inference(prop_impl_just,[status(thm)],[c_186]) ).
cnf(c_695,plain,
( member(sK3(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(renaming,[status(thm)],[c_694]) ).
cnf(c_696,plain,
( ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ),
inference(prop_impl_just,[status(thm)],[c_231]) ).
cnf(c_2090,plain,
( ~ ilf_type(X0,member_type(power_set(cross_product(X1,X2))))
| ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(instantiation,[status(thm)],[c_679]) ).
cnf(c_2189,plain,
( ~ member(X0,power_set(X1))
| ilf_type(X0,member_type(power_set(X1))) ),
inference(instantiation,[status(thm)],[c_696]) ).
cnf(c_2299,plain,
( ~ member(X0,power_set(cross_product(X1,X2)))
| ilf_type(X0,member_type(power_set(cross_product(X1,X2)))) ),
inference(instantiation,[status(thm)],[c_2189]) ).
cnf(c_3687,plain,
( ~ ilf_type(sK13,subset_type(cross_product(sK10,sK12)))
| ilf_type(sK13,relation_type(sK10,sK12)) ),
inference(instantiation,[status(thm)],[c_675]) ).
cnf(c_4869,plain,
( ~ ilf_type(sK13,member_type(power_set(cross_product(sK10,sK12))))
| ilf_type(sK13,subset_type(cross_product(sK10,sK12))) ),
inference(instantiation,[status(thm)],[c_2090]) ).
cnf(c_7165,plain,
( ~ member(sK13,power_set(cross_product(sK10,sK12)))
| ilf_type(sK13,member_type(power_set(cross_product(sK10,sK12)))) ),
inference(instantiation,[status(thm)],[c_2299]) ).
cnf(c_20081,plain,
( ~ ilf_type(X0,subset_type(X1))
| member(X0,power_set(X1))
| empty(power_set(X1)) ),
inference(superposition,[status(thm)],[c_680,c_232]) ).
cnf(c_20082,plain,
( ~ ilf_type(X0,subset_type(X1))
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20081,c_126]) ).
cnf(c_20188,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| member(X0,power_set(cross_product(X1,X2))) ),
inference(superposition,[status(thm)],[c_676,c_20082]) ).
cnf(c_20909,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ member(X3,X0)
| member(X3,cross_product(X1,X2)) ),
inference(superposition,[status(thm)],[c_20188,c_394]) ).
cnf(c_21086,plain,
( ~ member(X0,cross_product(X1,X2))
| ~ subset(X1,X3)
| ~ subset(X2,X4)
| member(X0,cross_product(X3,X4)) ),
inference(superposition,[status(thm)],[c_409,c_366]) ).
cnf(c_21214,plain,
( ~ member(X0,sK13)
| member(X0,cross_product(sK9,sK11)) ),
inference(superposition,[status(thm)],[c_88,c_20909]) ).
cnf(c_21449,plain,
( ~ subset(sK11,X0)
| ~ subset(sK9,X1)
| ~ member(X2,sK13)
| member(X2,cross_product(X1,X0)) ),
inference(superposition,[status(thm)],[c_21214,c_21086]) ).
cnf(c_21503,plain,
( ~ subset(X0,X1)
| ~ subset(X2,X3)
| ~ subset(sK11,X0)
| ~ subset(sK9,X2)
| ~ member(X4,sK13)
| member(X4,cross_product(X3,X1)) ),
inference(superposition,[status(thm)],[c_21449,c_21086]) ).
cnf(c_21795,plain,
( ~ subset(X0,X1)
| ~ subset(sK9,X0)
| ~ member(X2,sK13)
| ~ subset(sK11,sK11)
| member(X2,cross_product(X1,sK12)) ),
inference(superposition,[status(thm)],[c_86,c_21503]) ).
cnf(c_21811,plain,
( ~ subset(X0,X1)
| ~ subset(sK9,X0)
| ~ member(X2,sK13)
| member(X2,cross_product(X1,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21795,c_123]) ).
cnf(c_22194,plain,
( ~ member(X0,sK13)
| ~ subset(sK9,sK9)
| member(X0,cross_product(sK10,sK12)) ),
inference(superposition,[status(thm)],[c_87,c_21811]) ).
cnf(c_22204,plain,
( ~ member(X0,sK13)
| member(X0,cross_product(sK10,sK12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22194,c_123]) ).
cnf(c_22320,plain,
( ~ member(sK3(X0,cross_product(sK10,sK12)),sK13)
| member(X0,power_set(cross_product(sK10,sK12))) ),
inference(superposition,[status(thm)],[c_22204,c_690]) ).
cnf(c_22469,plain,
member(sK13,power_set(cross_product(sK10,sK12))),
inference(superposition,[status(thm)],[c_695,c_22320]) ).
cnf(c_22470,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_22469,c_7165,c_4869,c_3687,c_85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET655+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 11:06:15 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.69/1.67 % SZS status Started for theBenchmark.p
% 7.69/1.67 % SZS status Theorem for theBenchmark.p
% 7.69/1.67
% 7.69/1.67 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.69/1.67
% 7.69/1.67 ------ iProver source info
% 7.69/1.67
% 7.69/1.67 git: date: 2023-05-31 18:12:56 +0000
% 7.69/1.67 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.69/1.67 git: non_committed_changes: false
% 7.69/1.67 git: last_make_outside_of_git: false
% 7.69/1.67
% 7.69/1.67 ------ Parsing...
% 7.69/1.67 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.69/1.67
% 7.69/1.67 ------ 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
% 7.69/1.67
% 7.69/1.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.69/1.67
% 7.69/1.67 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.69/1.67 ------ Proving...
% 7.69/1.67 ------ Problem Properties
% 7.69/1.67
% 7.69/1.67
% 7.69/1.67 clauses 31
% 7.69/1.67 conjectures 4
% 7.69/1.67 EPR 8
% 7.69/1.67 Horn 25
% 7.69/1.67 unary 9
% 7.69/1.67 binary 16
% 7.69/1.67 lits 59
% 7.69/1.67 lits eq 2
% 7.69/1.67 fd_pure 0
% 7.69/1.67 fd_pseudo 0
% 7.69/1.67 fd_cond 0
% 7.69/1.67 fd_pseudo_cond 0
% 7.69/1.67 AC symbols 0
% 7.69/1.67
% 7.69/1.67 ------ Schedule dynamic 5 is on
% 7.69/1.67
% 7.69/1.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.69/1.67
% 7.69/1.67
% 7.69/1.67 ------
% 7.69/1.67 Current options:
% 7.69/1.67 ------
% 7.69/1.67
% 7.69/1.67
% 7.69/1.67
% 7.69/1.67
% 7.69/1.67 ------ Proving...
% 7.69/1.67
% 7.69/1.67
% 7.69/1.67 % SZS status Theorem for theBenchmark.p
% 7.69/1.67
% 7.69/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.69/1.67
% 7.69/1.67
%------------------------------------------------------------------------------