TSTP Solution File: SET063+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET063+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n018.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 : Wed Aug 31 18:23:27 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 15 unt; 0 def)
% Number of atoms : 98 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 103 ( 43 ~; 31 |; 18 &)
% ( 6 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 67 ( 62 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f120,plain,
$false,
inference(subsumption_resolution,[],[f117,f91]) ).
fof(f91,plain,
~ equal_set(sF4,empty_set),
inference(definition_folding,[],[f80,f90]) ).
fof(f90,plain,
sF4 = intersection(sK2,empty_set),
introduced(function_definition,[]) ).
fof(f80,plain,
~ equal_set(intersection(sK2,empty_set),empty_set),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
~ equal_set(intersection(sK2,empty_set),empty_set),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f27,f50]) ).
fof(f50,plain,
( ? [X0] : ~ equal_set(intersection(X0,empty_set),empty_set)
=> ~ equal_set(intersection(sK2,empty_set),empty_set) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
? [X0] : ~ equal_set(intersection(X0,empty_set),empty_set),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0] : equal_set(intersection(X0,empty_set),empty_set),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0] : equal_set(intersection(X0,empty_set),empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI17) ).
fof(f117,plain,
equal_set(sF4,empty_set),
inference(resolution,[],[f112,f100]) ).
fof(f100,plain,
! [X8] : subset(empty_set,X8),
inference(resolution,[],[f71,f79]) ).
fof(f79,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] : ~ member(X0,empty_set),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2] : ~ member(X2,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set) ).
fof(f71,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f41,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X3] :
( ~ member(X3,X1)
& member(X3,X0) )
=> ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( ~ member(X3,X1)
& member(X3,X0) ) ) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f112,plain,
! [X2] :
( ~ subset(X2,sF4)
| equal_set(sF4,X2) ),
inference(resolution,[],[f67,f104]) ).
fof(f104,plain,
! [X17] : subset(sF4,X17),
inference(resolution,[],[f71,f95]) ).
fof(f95,plain,
! [X0] : ~ member(X0,sF4),
inference(subsumption_resolution,[],[f94,f79]) ).
fof(f94,plain,
! [X0] :
( ~ member(X0,sF4)
| member(X0,empty_set) ),
inference(superposition,[],[f65,f90]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X1,X0))
| member(X2,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X1,X0)) )
& ( member(X2,intersection(X1,X0))
| ~ member(X2,X1)
| ~ member(X2,X0) ) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ( ( member(X1,X0)
& member(X1,X2) )
| ~ member(X1,intersection(X0,X2)) )
& ( member(X1,intersection(X0,X2))
| ~ member(X1,X0)
| ~ member(X1,X2) ) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ( ( member(X1,X0)
& member(X1,X2) )
| ~ member(X1,intersection(X0,X2)) )
& ( member(X1,intersection(X0,X2))
| ~ member(X1,X0)
| ~ member(X1,X2) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ( member(X1,X0)
& member(X1,X2) )
<=> member(X1,intersection(X0,X2)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X2,X1] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection) ).
fof(f67,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| equal_set(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_set(X1,X0) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X1,X0] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
<=> equal_set(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET063+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 13:09:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.21/0.50 % (8711)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.50 % (8724)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.51 % (8732)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.51 % (8722)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51 % (8713)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (8722)First to succeed.
% 0.21/0.51 % (8722)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Theorem for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (8722)------------------------------
% 0.21/0.51 % (8722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (8722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (8722)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (8722)Memory used [KB]: 5500
% 0.21/0.51 % (8722)Time elapsed: 0.112 s
% 0.21/0.51 % (8722)Instructions burned: 3 (million)
% 0.21/0.51 % (8722)------------------------------
% 0.21/0.51 % (8722)------------------------------
% 0.21/0.51 % (8708)Success in time 0.16 s
%------------------------------------------------------------------------------