TSTP Solution File: SET685+3 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET685+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 15:09:07 EDT 2023
% Result : Theorem 6.61s 1.68s
% Output : CNFRefutation 6.61s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f178)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(X1,image(X2,X0))
<=> ? [X3] :
( member(X3,X0)
& member(ordered_pair(X3,X1),X2)
& ilf_type(X3,set_type) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
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)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X1))
=> ( member(ordered_pair(X2,X3),X4)
=> ( member(X3,X1)
& member(X2,X0) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f5,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',p5) ).
fof(f7,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',p7) ).
fof(f9,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',p9) ).
fof(f24,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24) ).
fof(f25,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ! [X3] :
( ilf_type(X3,set_type)
=> image4(X0,X1,X2,X3) = image(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25) ).
fof(f27,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27) ).
fof(f28,conjecture,
! [X0] :
( ( ilf_type(X0,set_type)
& ~ empty(X0) )
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ! [X2] :
( ( ilf_type(X2,set_type)
& ~ empty(X2) )
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X0))
=> ! [X4] :
( ilf_type(X4,member_type(X0))
=> ( member(X4,image4(X2,X0,X3,X1))
<=> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X5,X4),X3)
& ilf_type(X5,member_type(X2)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_52) ).
fof(f29,negated_conjecture,
~ ! [X0] :
( ( ilf_type(X0,set_type)
& ~ empty(X0) )
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ! [X2] :
( ( ilf_type(X2,set_type)
& ~ empty(X2) )
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X0))
=> ! [X4] :
( ilf_type(X4,member_type(X0))
=> ( member(X4,image4(X2,X0,X3,X1))
<=> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X5,X4),X3)
& ilf_type(X5,member_type(X2)) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f28]) ).
fof(f30,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,[],[f5]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(X1,image(X2,X0))
<=> ? [X3] :
( member(X3,X0)
& member(ordered_pair(X3,X1),X2)
& ilf_type(X3,set_type) ) )
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( member(X3,X1)
& member(X2,X0) )
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(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(f33,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( member(X3,X1)
& member(X2,X0) )
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1)) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f32]) ).
fof(f36,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,[],[f30]) ).
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,[],[f7]) ).
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,[],[f9]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f24]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( image4(X0,X1,X2,X3) = image(X2,X3)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f25]) ).
fof(f62,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( member(X4,image4(X2,X0,X3,X1))
<~> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X5,X4),X3)
& ilf_type(X5,member_type(X2)) ) )
& ilf_type(X4,member_type(X0)) )
& ilf_type(X3,relation_type(X2,X0)) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f63,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( member(X4,image4(X2,X0,X3,X1))
<~> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X5,X4),X3)
& ilf_type(X5,member_type(X2)) ) )
& ilf_type(X4,member_type(X0)) )
& ilf_type(X3,relation_type(X2,X0)) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( member(X1,image(X2,X0))
| ! [X3] :
( ~ member(X3,X0)
| ~ member(ordered_pair(X3,X1),X2)
| ~ ilf_type(X3,set_type) ) )
& ( ? [X3] :
( member(X3,X0)
& member(ordered_pair(X3,X1),X2)
& ilf_type(X3,set_type) )
| ~ member(X1,image(X2,X0)) ) )
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f31]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( member(X1,image(X2,X0))
| ! [X3] :
( ~ member(X3,X0)
| ~ member(ordered_pair(X3,X1),X2)
| ~ ilf_type(X3,set_type) ) )
& ( ? [X4] :
( member(X4,X0)
& member(ordered_pair(X4,X1),X2)
& ilf_type(X4,set_type) )
| ~ member(X1,image(X2,X0)) ) )
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f64]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ? [X4] :
( member(X4,X0)
& member(ordered_pair(X4,X1),X2)
& ilf_type(X4,set_type) )
=> ( member(sK0(X0,X1,X2),X0)
& member(ordered_pair(sK0(X0,X1,X2),X1),X2)
& ilf_type(sK0(X0,X1,X2),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( member(X1,image(X2,X0))
| ! [X3] :
( ~ member(X3,X0)
| ~ member(ordered_pair(X3,X1),X2)
| ~ ilf_type(X3,set_type) ) )
& ( ( member(sK0(X0,X1,X2),X0)
& member(ordered_pair(sK0(X0,X1,X2),X1),X2)
& ilf_type(sK0(X0,X1,X2),set_type) )
| ~ member(X1,image(X2,X0)) ) )
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f65,f66]) ).
fof(f71,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(f74,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(f75,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,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) )
=> ( member(sK3(X0),X0)
& ilf_type(sK3(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ( ( empty(X0)
| ( member(sK3(X0),X0)
& ilf_type(sK3(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,[sK3])],[f75,f76]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ! [X5] :
( ~ member(X5,X1)
| ~ member(ordered_pair(X5,X4),X3)
| ~ ilf_type(X5,member_type(X2)) )
| ~ member(X4,image4(X2,X0,X3,X1)) )
& ( ? [X5] :
( member(X5,X1)
& member(ordered_pair(X5,X4),X3)
& ilf_type(X5,member_type(X2)) )
| member(X4,image4(X2,X0,X3,X1)) )
& ilf_type(X4,member_type(X0)) )
& ilf_type(X3,relation_type(X2,X0)) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(nnf_transformation,[],[f63]) ).
fof(f101,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ! [X5] :
( ~ member(X5,X1)
| ~ member(ordered_pair(X5,X4),X3)
| ~ ilf_type(X5,member_type(X2)) )
| ~ member(X4,image4(X2,X0,X3,X1)) )
& ( ? [X5] :
( member(X5,X1)
& member(ordered_pair(X5,X4),X3)
& ilf_type(X5,member_type(X2)) )
| member(X4,image4(X2,X0,X3,X1)) )
& ilf_type(X4,member_type(X0)) )
& ilf_type(X3,relation_type(X2,X0)) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ! [X5] :
( ~ member(X5,X1)
| ~ member(ordered_pair(X5,X4),X3)
| ~ ilf_type(X5,member_type(X2)) )
| ~ member(X4,image4(X2,X0,X3,X1)) )
& ( ? [X6] :
( member(X6,X1)
& member(ordered_pair(X6,X4),X3)
& ilf_type(X6,member_type(X2)) )
| member(X4,image4(X2,X0,X3,X1)) )
& ilf_type(X4,member_type(X0)) )
& ilf_type(X3,relation_type(X2,X0)) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(rectify,[],[f101]) ).
fof(f103,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ! [X5] :
( ~ member(X5,X1)
| ~ member(ordered_pair(X5,X4),X3)
| ~ ilf_type(X5,member_type(X2)) )
| ~ member(X4,image4(X2,X0,X3,X1)) )
& ( ? [X6] :
( member(X6,X1)
& member(ordered_pair(X6,X4),X3)
& ilf_type(X6,member_type(X2)) )
| member(X4,image4(X2,X0,X3,X1)) )
& ilf_type(X4,member_type(X0)) )
& ilf_type(X3,relation_type(X2,X0)) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(X0,set_type)
& ~ empty(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ! [X5] :
( ~ member(X5,X1)
| ~ member(ordered_pair(X5,X4),X3)
| ~ ilf_type(X5,member_type(X2)) )
| ~ member(X4,image4(X2,sK11,X3,X1)) )
& ( ? [X6] :
( member(X6,X1)
& member(ordered_pair(X6,X4),X3)
& ilf_type(X6,member_type(X2)) )
| member(X4,image4(X2,sK11,X3,X1)) )
& ilf_type(X4,member_type(sK11)) )
& ilf_type(X3,relation_type(X2,sK11)) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(sK11,set_type)
& ~ empty(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ! [X5] :
( ~ member(X5,X1)
| ~ member(ordered_pair(X5,X4),X3)
| ~ ilf_type(X5,member_type(X2)) )
| ~ member(X4,image4(X2,sK11,X3,X1)) )
& ( ? [X6] :
( member(X6,X1)
& member(ordered_pair(X6,X4),X3)
& ilf_type(X6,member_type(X2)) )
| member(X4,image4(X2,sK11,X3,X1)) )
& ilf_type(X4,member_type(sK11)) )
& ilf_type(X3,relation_type(X2,sK11)) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ! [X5] :
( ~ member(X5,sK12)
| ~ member(ordered_pair(X5,X4),X3)
| ~ ilf_type(X5,member_type(X2)) )
| ~ member(X4,image4(X2,sK11,X3,sK12)) )
& ( ? [X6] :
( member(X6,sK12)
& member(ordered_pair(X6,X4),X3)
& ilf_type(X6,member_type(X2)) )
| member(X4,image4(X2,sK11,X3,sK12)) )
& ilf_type(X4,member_type(sK11)) )
& ilf_type(X3,relation_type(X2,sK11)) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
& ilf_type(sK12,set_type)
& ~ empty(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ! [X5] :
( ~ member(X5,sK12)
| ~ member(ordered_pair(X5,X4),X3)
| ~ ilf_type(X5,member_type(X2)) )
| ~ member(X4,image4(X2,sK11,X3,sK12)) )
& ( ? [X6] :
( member(X6,sK12)
& member(ordered_pair(X6,X4),X3)
& ilf_type(X6,member_type(X2)) )
| member(X4,image4(X2,sK11,X3,sK12)) )
& ilf_type(X4,member_type(sK11)) )
& ilf_type(X3,relation_type(X2,sK11)) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
=> ( ? [X3] :
( ? [X4] :
( ( ! [X5] :
( ~ member(X5,sK12)
| ~ member(ordered_pair(X5,X4),X3)
| ~ ilf_type(X5,member_type(sK13)) )
| ~ member(X4,image4(sK13,sK11,X3,sK12)) )
& ( ? [X6] :
( member(X6,sK12)
& member(ordered_pair(X6,X4),X3)
& ilf_type(X6,member_type(sK13)) )
| member(X4,image4(sK13,sK11,X3,sK12)) )
& ilf_type(X4,member_type(sK11)) )
& ilf_type(X3,relation_type(sK13,sK11)) )
& ilf_type(sK13,set_type)
& ~ empty(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ? [X3] :
( ? [X4] :
( ( ! [X5] :
( ~ member(X5,sK12)
| ~ member(ordered_pair(X5,X4),X3)
| ~ ilf_type(X5,member_type(sK13)) )
| ~ member(X4,image4(sK13,sK11,X3,sK12)) )
& ( ? [X6] :
( member(X6,sK12)
& member(ordered_pair(X6,X4),X3)
& ilf_type(X6,member_type(sK13)) )
| member(X4,image4(sK13,sK11,X3,sK12)) )
& ilf_type(X4,member_type(sK11)) )
& ilf_type(X3,relation_type(sK13,sK11)) )
=> ( ? [X4] :
( ( ! [X5] :
( ~ member(X5,sK12)
| ~ member(ordered_pair(X5,X4),sK14)
| ~ ilf_type(X5,member_type(sK13)) )
| ~ member(X4,image4(sK13,sK11,sK14,sK12)) )
& ( ? [X6] :
( member(X6,sK12)
& member(ordered_pair(X6,X4),sK14)
& ilf_type(X6,member_type(sK13)) )
| member(X4,image4(sK13,sK11,sK14,sK12)) )
& ilf_type(X4,member_type(sK11)) )
& ilf_type(sK14,relation_type(sK13,sK11)) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
( ? [X4] :
( ( ! [X5] :
( ~ member(X5,sK12)
| ~ member(ordered_pair(X5,X4),sK14)
| ~ ilf_type(X5,member_type(sK13)) )
| ~ member(X4,image4(sK13,sK11,sK14,sK12)) )
& ( ? [X6] :
( member(X6,sK12)
& member(ordered_pair(X6,X4),sK14)
& ilf_type(X6,member_type(sK13)) )
| member(X4,image4(sK13,sK11,sK14,sK12)) )
& ilf_type(X4,member_type(sK11)) )
=> ( ( ! [X5] :
( ~ member(X5,sK12)
| ~ member(ordered_pair(X5,sK15),sK14)
| ~ ilf_type(X5,member_type(sK13)) )
| ~ member(sK15,image4(sK13,sK11,sK14,sK12)) )
& ( ? [X6] :
( member(X6,sK12)
& member(ordered_pair(X6,sK15),sK14)
& ilf_type(X6,member_type(sK13)) )
| member(sK15,image4(sK13,sK11,sK14,sK12)) )
& ilf_type(sK15,member_type(sK11)) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
( ? [X6] :
( member(X6,sK12)
& member(ordered_pair(X6,sK15),sK14)
& ilf_type(X6,member_type(sK13)) )
=> ( member(sK16,sK12)
& member(ordered_pair(sK16,sK15),sK14)
& ilf_type(sK16,member_type(sK13)) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
( ( ! [X5] :
( ~ member(X5,sK12)
| ~ member(ordered_pair(X5,sK15),sK14)
| ~ ilf_type(X5,member_type(sK13)) )
| ~ member(sK15,image4(sK13,sK11,sK14,sK12)) )
& ( ( member(sK16,sK12)
& member(ordered_pair(sK16,sK15),sK14)
& ilf_type(sK16,member_type(sK13)) )
| member(sK15,image4(sK13,sK11,sK14,sK12)) )
& ilf_type(sK15,member_type(sK11))
& ilf_type(sK14,relation_type(sK13,sK11))
& ilf_type(sK13,set_type)
& ~ empty(sK13)
& ilf_type(sK12,set_type)
& ~ empty(sK12)
& ilf_type(sK11,set_type)
& ~ empty(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15,sK16])],[f102,f108,f107,f106,f105,f104,f103]) ).
fof(f111,plain,
! [X2,X0,X1] :
( member(ordered_pair(sK0(X0,X1,X2),X1),X2)
| ~ member(X1,image(X2,X0))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f67]) ).
fof(f112,plain,
! [X2,X0,X1] :
( member(sK0(X0,X1,X2),X0)
| ~ member(X1,image(X2,X0))
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f67]) ).
fof(f113,plain,
! [X2,X3,X0,X1] :
( member(X1,image(X2,X0))
| ~ member(X3,X0)
| ~ member(ordered_pair(X3,X1),X2)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f67]) ).
fof(f114,plain,
! [X2,X3,X0,X1,X4] :
( member(X2,X0)
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(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,[],[f33]) ).
fof(f120,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,[],[f36]) ).
fof(f123,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,[],[f71]) ).
fof(f125,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f77]) ).
fof(f158,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f59]) ).
fof(f159,plain,
! [X2,X3,X0,X1] :
( image4(X0,X1,X2,X3) = image(X2,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f60]) ).
fof(f161,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f27]) ).
fof(f168,plain,
ilf_type(sK14,relation_type(sK13,sK11)),
inference(cnf_transformation,[],[f109]) ).
fof(f171,plain,
( member(ordered_pair(sK16,sK15),sK14)
| member(sK15,image4(sK13,sK11,sK14,sK12)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f172,plain,
( member(sK16,sK12)
| member(sK15,image4(sK13,sK11,sK14,sK12)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f173,plain,
! [X5] :
( ~ member(X5,sK12)
| ~ member(ordered_pair(X5,sK15),sK14)
| ~ ilf_type(X5,member_type(sK13))
| ~ member(sK15,image4(sK13,sK11,sK14,sK12)) ),
inference(cnf_transformation,[],[f109]) ).
cnf(c_49,plain,
( ~ member(ordered_pair(X0,X1),X2)
| ~ member(X0,X3)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X3,set_type)
| member(X1,image(X2,X3)) ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_50,plain,
( ~ member(X0,image(X1,X2))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,set_type)
| member(sK0(X2,X0,X1),X2) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_51,plain,
( ~ member(X0,image(X1,X2))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,set_type)
| member(ordered_pair(sK0(X2,X0,X1),X0),X1) ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_54,plain,
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,relation_type(X3,X4))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,set_type)
| member(X0,X3) ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_58,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,[],[f120]) ).
cnf(c_61,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,[],[f123]) ).
cnf(c_66,plain,
( ~ member(X0,X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f125]) ).
cnf(c_72,plain,
( ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f178]) ).
cnf(c_96,plain,
( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| relation_like(X0) ),
inference(cnf_transformation,[],[f158]) ).
cnf(c_97,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| image4(X1,X2,X0,X3) = image(X0,X3) ),
inference(cnf_transformation,[],[f159]) ).
cnf(c_99,plain,
ilf_type(X0,set_type),
inference(cnf_transformation,[],[f161]) ).
cnf(c_100,negated_conjecture,
( ~ member(sK15,image4(sK13,sK11,sK14,sK12))
| ~ member(ordered_pair(X0,sK15),sK14)
| ~ ilf_type(X0,member_type(sK13))
| ~ member(X0,sK12) ),
inference(cnf_transformation,[],[f173]) ).
cnf(c_101,negated_conjecture,
( member(sK15,image4(sK13,sK11,sK14,sK12))
| member(sK16,sK12) ),
inference(cnf_transformation,[],[f172]) ).
cnf(c_102,negated_conjecture,
( member(sK15,image4(sK13,sK11,sK14,sK12))
| member(ordered_pair(sK16,sK15),sK14) ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_105,negated_conjecture,
ilf_type(sK14,relation_type(sK13,sK11)),
inference(cnf_transformation,[],[f168]) ).
cnf(c_248,plain,
( ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| ~ member(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_61,c_99,c_66,c_61]) ).
cnf(c_249,plain,
( ~ member(X0,X1)
| ~ ilf_type(X1,set_type)
| ilf_type(X0,member_type(X1)) ),
inference(renaming,[status(thm)],[c_248]) ).
cnf(c_270,plain,
( ~ member(X0,image(X1,X2))
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,set_type)
| member(sK0(X2,X0,X1),X2) ),
inference(global_subsumption_just,[status(thm)],[c_50,c_99,c_50]) ).
cnf(c_272,plain,
( ~ member(X0,image(X1,X2))
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X2,set_type)
| member(ordered_pair(sK0(X2,X0,X1),X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_51,c_99,c_51]) ).
cnf(c_274,plain,
( ~ ilf_type(X2,relation_type(X3,X4))
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,set_type)
| member(X0,X3) ),
inference(global_subsumption_just,[status(thm)],[c_54,c_99,c_54]) ).
cnf(c_275,plain,
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,relation_type(X3,X4))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,set_type)
| member(X0,X3) ),
inference(renaming,[status(thm)],[c_274]) ).
cnf(c_278,plain,
( ~ member(X0,X3)
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X3,set_type)
| member(X1,image(X2,X3)) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_99,c_49]) ).
cnf(c_279,plain,
( ~ member(ordered_pair(X0,X1),X2)
| ~ member(X0,X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X3,set_type)
| member(X1,image(X2,X3)) ),
inference(renaming,[status(thm)],[c_278]) ).
cnf(c_447,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_58,c_99]) ).
cnf(c_449,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| image4(X1,X2,X0,X3) = image(X0,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_97,c_99]) ).
cnf(c_451,plain,
( ~ member(X0,image(X1,X2))
| ~ ilf_type(X1,binary_relation_type)
| member(sK0(X2,X0,X1),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_270,c_99]) ).
cnf(c_452,plain,
( ~ member(X0,image(X1,X2))
| ~ ilf_type(X1,binary_relation_type)
| member(ordered_pair(sK0(X2,X0,X1),X0),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_272,c_99]) ).
cnf(c_454,plain,
( ~ member(ordered_pair(X0,X1),X2)
| ~ member(X0,X3)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X3,set_type)
| member(X1,image(X2,X3)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_279,c_99]) ).
cnf(c_456,plain,
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,relation_type(X3,X4))
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,set_type)
| member(X0,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_275,c_99]) ).
cnf(c_459,plain,
( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X2,set_type)
| relation_like(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_96,c_99]) ).
cnf(c_461,plain,
( ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_249,c_99]) ).
cnf(c_565,plain,
( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
| relation_like(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_459,c_99]) ).
cnf(c_610,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| ilf_type(X0,subset_type(cross_product(X1,X2))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_447,c_99]) ).
cnf(c_674,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| image4(X1,X2,X0,X3) = image(X0,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_449,c_99,c_99]) ).
cnf(c_687,plain,
( ~ member(ordered_pair(X0,X1),X2)
| ~ member(X0,X3)
| ~ ilf_type(X2,binary_relation_type)
| member(X1,image(X2,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_454,c_99]) ).
cnf(c_722,plain,
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,relation_type(X3,X4))
| member(X0,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_456,c_99,c_99]) ).
cnf(c_1179,plain,
( ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(prop_impl_just,[status(thm)],[c_99,c_72]) ).
cnf(c_1185,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(prop_impl_just,[status(thm)],[c_565,c_610]) ).
cnf(c_1187,plain,
( ~ ilf_type(X0,relation_type(X1,X2))
| image4(X1,X2,X0,X3) = image(X0,X3) ),
inference(prop_impl_just,[status(thm)],[c_674]) ).
cnf(c_1193,plain,
( ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ),
inference(prop_impl_just,[status(thm)],[c_461]) ).
cnf(c_2902,plain,
relation_like(sK14),
inference(superposition,[status(thm)],[c_105,c_1185]) ).
cnf(c_3293,plain,
image4(sK13,sK11,sK14,X0) = image(sK14,X0),
inference(superposition,[status(thm)],[c_105,c_1187]) ).
cnf(c_3301,plain,
( ~ member(ordered_pair(X0,sK15),sK14)
| ~ member(sK15,image(sK14,sK12))
| ~ ilf_type(X0,member_type(sK13))
| ~ member(X0,sK12) ),
inference(demodulation,[status(thm)],[c_100,c_3293]) ).
cnf(c_3302,plain,
( member(ordered_pair(sK16,sK15),sK14)
| member(sK15,image(sK14,sK12)) ),
inference(demodulation,[status(thm)],[c_102,c_3293]) ).
cnf(c_3304,plain,
( member(sK15,image(sK14,sK12))
| member(sK16,sK12) ),
inference(demodulation,[status(thm)],[c_101,c_3293]) ).
cnf(c_3471,plain,
( ~ ilf_type(sK0(X0,sK15,sK14),member_type(sK13))
| ~ member(sK0(X0,sK15,sK14),sK12)
| ~ member(sK15,image(sK14,X0))
| ~ member(sK15,image(sK14,sK12))
| ~ ilf_type(sK14,binary_relation_type) ),
inference(superposition,[status(thm)],[c_452,c_3301]) ).
cnf(c_3975,plain,
( ~ member(sK0(X0,sK15,sK14),sK12)
| ~ member(sK0(X0,sK15,sK14),sK13)
| ~ member(sK15,image(sK14,X0))
| ~ member(sK15,image(sK14,sK12))
| ~ ilf_type(sK14,binary_relation_type) ),
inference(superposition,[status(thm)],[c_1193,c_3471]) ).
cnf(c_4401,plain,
( ~ member(sK0(sK12,sK15,sK14),sK13)
| ~ member(sK15,image(sK14,sK12))
| ~ ilf_type(sK14,binary_relation_type) ),
inference(superposition,[status(thm)],[c_451,c_3975]) ).
cnf(c_5186,plain,
( ~ relation_like(sK14)
| ilf_type(sK14,binary_relation_type) ),
inference(instantiation,[status(thm)],[c_1179]) ).
cnf(c_5245,plain,
( ~ member(X0,image(X1,X2))
| ~ ilf_type(X1,relation_type(X3,X4))
| ~ ilf_type(X1,binary_relation_type)
| member(sK0(X2,X0,X1),X3) ),
inference(superposition,[status(thm)],[c_452,c_722]) ).
cnf(c_8765,plain,
( ~ member(sK16,X0)
| ~ ilf_type(sK14,binary_relation_type)
| member(sK15,image(sK14,X0))
| member(sK15,image(sK14,sK12)) ),
inference(superposition,[status(thm)],[c_3302,c_687]) ).
cnf(c_8968,plain,
( ~ member(sK16,X0)
| member(sK15,image(sK14,X0))
| member(sK15,image(sK14,sK12)) ),
inference(global_subsumption_just,[status(thm)],[c_8765,c_2902,c_5186,c_8765]) ).
cnf(c_8988,plain,
( ~ member(sK16,sK12)
| member(sK15,image(sK14,sK12)) ),
inference(equality_factoring,[status(thm)],[c_8968]) ).
cnf(c_9045,plain,
member(sK15,image(sK14,sK12)),
inference(global_subsumption_just,[status(thm)],[c_8988,c_3304,c_8988]) ).
cnf(c_9048,plain,
( ~ member(sK0(sK12,sK15,sK14),sK13)
| ~ ilf_type(sK14,binary_relation_type) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4401,c_9045]) ).
cnf(c_9295,plain,
~ member(sK0(sK12,sK15,sK14),sK13),
inference(global_subsumption_just,[status(thm)],[c_9048,c_2902,c_4401,c_5186,c_9045]) ).
cnf(c_22173,plain,
( ~ member(X0,image(sK14,X1))
| ~ ilf_type(sK14,binary_relation_type)
| member(sK0(X1,X0,sK14),sK13) ),
inference(superposition,[status(thm)],[c_105,c_5245]) ).
cnf(c_22228,plain,
( ~ member(X0,image(sK14,X1))
| member(sK0(X1,X0,sK14),sK13) ),
inference(global_subsumption_just,[status(thm)],[c_22173,c_2902,c_5186,c_22173]) ).
cnf(c_22244,plain,
~ member(sK15,image(sK14,sK12)),
inference(superposition,[status(thm)],[c_22228,c_9295]) ).
cnf(c_22245,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_22244,c_9045]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET685+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 10:09:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.61/1.68 % SZS status Started for theBenchmark.p
% 6.61/1.68 % SZS status Theorem for theBenchmark.p
% 6.61/1.68
% 6.61/1.68 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 6.61/1.68
% 6.61/1.68 ------ iProver source info
% 6.61/1.68
% 6.61/1.68 git: date: 2023-05-31 18:12:56 +0000
% 6.61/1.68 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 6.61/1.68 git: non_committed_changes: false
% 6.61/1.68 git: last_make_outside_of_git: false
% 6.61/1.68
% 6.61/1.68 ------ Parsing...
% 6.61/1.68 ------ Clausification by vclausify_rel & Parsing by iProver...
% 6.61/1.68
% 6.61/1.68 ------ Preprocessing... sup_sim: 1 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
% 6.61/1.68
% 6.61/1.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 6.61/1.68
% 6.61/1.68 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.61/1.68 ------ Proving...
% 6.61/1.68 ------ Problem Properties
% 6.61/1.68
% 6.61/1.68
% 6.61/1.68 clauses 44
% 6.61/1.68 conjectures 9
% 6.61/1.68 EPR 9
% 6.61/1.68 Horn 35
% 6.61/1.68 unary 12
% 6.61/1.68 binary 21
% 6.61/1.68 lits 89
% 6.61/1.68 lits eq 7
% 6.61/1.68 fd_pure 0
% 6.61/1.68 fd_pseudo 0
% 6.61/1.68 fd_cond 0
% 6.61/1.68 fd_pseudo_cond 2
% 6.61/1.68 AC symbols 0
% 6.61/1.68
% 6.61/1.68 ------ Schedule dynamic 5 is on
% 6.61/1.68
% 6.61/1.68 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.61/1.68
% 6.61/1.68
% 6.61/1.68 ------
% 6.61/1.68 Current options:
% 6.61/1.68 ------
% 6.61/1.68
% 6.61/1.68
% 6.61/1.68
% 6.61/1.68
% 6.61/1.68 ------ Proving...
% 6.61/1.68
% 6.61/1.68
% 6.61/1.68 % SZS status Theorem for theBenchmark.p
% 6.61/1.68
% 6.61/1.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.61/1.69
% 6.61/1.69
%------------------------------------------------------------------------------