TSTP Solution File: SET813+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET813+4 : TPTP v8.1.0. Released v3.2.0.
% 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 : n016.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 18:25:43 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 8 unt; 0 def)
% Number of atoms : 71 ( 8 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 70 ( 27 ~; 21 |; 14 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 41 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f357,plain,
$false,
inference(subsumption_resolution,[],[f356,f180]) ).
fof(f180,plain,
~ member(sK1,sF15),
inference(definition_folding,[],[f120,f179]) ).
fof(f179,plain,
sF15 = suc(sK1),
introduced(function_definition,[]) ).
fof(f120,plain,
~ member(sK1,suc(sK1)),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( member(sK1,on)
& ~ member(sK1,suc(sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f38,f56]) ).
fof(f56,plain,
( ? [X0] :
( member(X0,on)
& ~ member(X0,suc(X0)) )
=> ( member(sK1,on)
& ~ member(sK1,suc(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
? [X0] :
( member(X0,on)
& ~ member(X0,suc(X0)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( member(X0,on)
=> member(X0,suc(X0)) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X0] :
( member(X0,on)
=> member(X0,suc(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thV12) ).
fof(f356,plain,
member(sK1,sF15),
inference(superposition,[],[f341,f179]) ).
fof(f341,plain,
! [X0] : member(X0,suc(X0)),
inference(resolution,[],[f274,f171]) ).
fof(f171,plain,
! [X0,X1] :
( ~ member(X0,union(X1,singleton(X1)))
| member(X0,suc(X1)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ( member(X0,suc(X1))
| ~ member(X0,union(X1,singleton(X1))) )
& ( member(X0,union(X1,singleton(X1)))
| ~ member(X0,suc(X1)) ) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
! [X1,X0] :
( ( member(X1,suc(X0))
| ~ member(X1,union(X0,singleton(X0))) )
& ( member(X1,union(X0,singleton(X0)))
| ~ member(X1,suc(X0)) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( member(X1,suc(X0))
<=> member(X1,union(X0,singleton(X0))) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X0,X2] :
( member(X2,union(X0,singleton(X0)))
<=> member(X2,suc(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor) ).
fof(f274,plain,
! [X10,X11] : member(X10,union(X11,singleton(X10))),
inference(resolution,[],[f152,f176]) ).
fof(f176,plain,
! [X1] : member(X1,singleton(X1)),
inference(equality_resolution,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( member(X0,singleton(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( member(X0,singleton(X1))
| X0 != X1 )
& ( X0 = X1
| ~ member(X0,singleton(X1)) ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X1,X0] :
( ( member(X1,singleton(X0))
| X0 != X1 )
& ( X0 = X1
| ~ member(X1,singleton(X0)) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( member(X1,singleton(X0))
<=> X0 = X1 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X2] :
( X0 = X2
<=> member(X2,singleton(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| member(X0,union(X1,X2)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) )
& ( member(X0,union(X1,X2))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) ) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) )
& ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X2,X0,X1] :
( ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) )
& ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ( member(X2,X1)
| member(X2,X0) )
<=> member(X2,union(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET813+4 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:44:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.50 % (26706)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)
% 0.18/0.50 % (26717)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)
% 0.18/0.50 % (26710)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (26732)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.50 % (26715)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)
% 0.18/0.51 % (26709)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (26734)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.51 % (26714)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.51 % (26718)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51 % (26713)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51 % (26735)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.51 % (26724)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51 % (26725)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51 % (26728)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.51 % (26711)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.51 % (26708)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)
% 0.18/0.51 % (26714)Instruction limit reached!
% 0.18/0.51 % (26714)------------------------------
% 0.18/0.51 % (26714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (26714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (26714)Termination reason: Unknown
% 0.18/0.51 % (26714)Termination phase: Property scanning
% 0.18/0.51
% 0.18/0.51 % (26714)Memory used [KB]: 1023
% 0.18/0.51 % (26714)Time elapsed: 0.003 s
% 0.18/0.51 % (26714)Instructions burned: 3 (million)
% 0.18/0.51 % (26714)------------------------------
% 0.18/0.51 % (26714)------------------------------
% 0.18/0.52 % (26710)First to succeed.
% 0.18/0.52 % (26716)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 % (26726)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.52 % (26728)Also succeeded, but the first one will report.
% 0.18/0.52 % (26710)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (26710)------------------------------
% 0.18/0.52 % (26710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (26710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (26710)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (26710)Memory used [KB]: 5628
% 0.18/0.52 % (26710)Time elapsed: 0.131 s
% 0.18/0.52 % (26710)Instructions burned: 9 (million)
% 0.18/0.52 % (26710)------------------------------
% 0.18/0.52 % (26710)------------------------------
% 0.18/0.52 % (26705)Success in time 0.179 s
%------------------------------------------------------------------------------