TSTP Solution File: SET689+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET689+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 : n001.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 18:25:21 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 7 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 113 ( 39 ~; 28 |; 34 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 67 ( 52 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f171,plain,
$false,
inference(subsumption_resolution,[],[f168,f111]) ).
fof(f111,plain,
~ subset(sK3,sK5),
inference(subsumption_resolution,[],[f110,f92]) ).
fof(f92,plain,
subset(sK5,sK3),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( subset(sK5,sK3)
& subset(sK3,sK4)
& subset(sK4,sK5)
& ~ equal_set(sK3,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f59,f60]) ).
fof(f60,plain,
( ? [X0,X1,X2] :
( subset(X2,X0)
& subset(X0,X1)
& subset(X1,X2)
& ~ equal_set(X0,X2) )
=> ( subset(sK5,sK3)
& subset(sK3,sK4)
& subset(sK4,sK5)
& ~ equal_set(sK3,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
? [X0,X1,X2] :
( subset(X2,X0)
& subset(X0,X1)
& subset(X1,X2)
& ~ equal_set(X0,X2) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
? [X2,X1,X0] :
( subset(X0,X2)
& subset(X2,X1)
& subset(X1,X0)
& ~ equal_set(X2,X0) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
? [X1,X2,X0] :
( ~ equal_set(X2,X0)
& subset(X0,X2)
& subset(X2,X1)
& subset(X1,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X1,X2,X0] :
( ( subset(X0,X2)
& subset(X2,X1)
& subset(X1,X0) )
=> equal_set(X2,X0) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X5,X1,X0] :
( ( subset(X5,X0)
& subset(X0,X1)
& subset(X1,X5) )
=> equal_set(X0,X5) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X5,X1,X0] :
( ( subset(X5,X0)
& subset(X0,X1)
& subset(X1,X5) )
=> equal_set(X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI05) ).
fof(f110,plain,
( ~ subset(sK3,sK5)
| ~ subset(sK5,sK3) ),
inference(resolution,[],[f62,f89]) ).
fof(f89,plain,
~ equal_set(sK3,sK5),
inference(cnf_transformation,[],[f61]) ).
fof(f62,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X1,X0] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
<=> equal_set(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set) ).
fof(f168,plain,
subset(sK3,sK5),
inference(duplicate_literal_removal,[],[f167]) ).
fof(f167,plain,
( subset(sK3,sK5)
| subset(sK3,sK5) ),
inference(resolution,[],[f126,f67]) ).
fof(f67,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f37,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( ( subset(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) )
& ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f126,plain,
! [X0] :
( ~ member(sK0(X0,sK5),sK3)
| subset(X0,sK5) ),
inference(resolution,[],[f118,f114]) ).
fof(f114,plain,
! [X4] :
( member(X4,sK4)
| ~ member(X4,sK3) ),
inference(resolution,[],[f66,f91]) ).
fof(f91,plain,
subset(sK3,sK4),
inference(cnf_transformation,[],[f61]) ).
fof(f66,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f118,plain,
! [X0] :
( ~ member(sK0(X0,sK5),sK4)
| subset(X0,sK5) ),
inference(resolution,[],[f115,f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f115,plain,
! [X5] :
( member(X5,sK5)
| ~ member(X5,sK4) ),
inference(resolution,[],[f66,f90]) ).
fof(f90,plain,
subset(sK4,sK5),
inference(cnf_transformation,[],[f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET689+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
% 0.13/0.34 % Computer : n001.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:35:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (31578)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.50 % (31601)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)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 % (31593)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)
% 0.19/0.50 % (31593)First to succeed.
% 0.19/0.50 TRYING [2]
% 0.19/0.50 TRYING [3]
% 0.19/0.51 % (31589)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (31587)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (31590)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 TRYING [4]
% 0.19/0.51 % (31593)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (31593)------------------------------
% 0.19/0.51 % (31593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (31593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (31593)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (31593)Memory used [KB]: 1023
% 0.19/0.51 % (31593)Time elapsed: 0.114 s
% 0.19/0.51 % (31593)Instructions burned: 4 (million)
% 0.19/0.51 % (31593)------------------------------
% 0.19/0.51 % (31593)------------------------------
% 0.19/0.51 % (31577)Success in time 0.162 s
%------------------------------------------------------------------------------