TSTP Solution File: SET764+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET764+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 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 18:25:34 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 11 unt; 0 def)
% Number of atoms : 112 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 116 ( 45 ~; 31 |; 25 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 92 ( 75 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f212,plain,
$false,
inference(subsumption_resolution,[],[f209,f185]) ).
fof(f185,plain,
~ equal_set(sF12,empty_set),
inference(definition_folding,[],[f143,f184]) ).
fof(f184,plain,
sF12 = inverse_image2(sK3,empty_set),
introduced(function_definition,[]) ).
fof(f143,plain,
~ equal_set(inverse_image2(sK3,empty_set),empty_set),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ~ equal_set(inverse_image2(sK3,empty_set),empty_set)
& maps(sK3,sK5,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f87,f88]) ).
fof(f88,plain,
( ? [X0,X1,X2] :
( ~ equal_set(inverse_image2(X0,empty_set),empty_set)
& maps(X0,X2,X1) )
=> ( ~ equal_set(inverse_image2(sK3,empty_set),empty_set)
& maps(sK3,sK5,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
? [X0,X1,X2] :
( ~ equal_set(inverse_image2(X0,empty_set),empty_set)
& maps(X0,X2,X1) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
? [X2,X1,X0] :
( ~ equal_set(inverse_image2(X2,empty_set),empty_set)
& maps(X2,X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X0,X1,X2] :
( maps(X2,X0,X1)
=> equal_set(inverse_image2(X2,empty_set),empty_set) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X5] :
( maps(X5,X0,X1)
=> equal_set(inverse_image2(X5,empty_set),empty_set) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X0,X1,X5] :
( maps(X5,X0,X1)
=> equal_set(inverse_image2(X5,empty_set),empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIIa14) ).
fof(f209,plain,
equal_set(sF12,empty_set),
inference(resolution,[],[f203,f187]) ).
fof(f187,plain,
! [X0] : subset(empty_set,X0),
inference(resolution,[],[f129,f150]) ).
fof(f150,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] : ~ member(X0,empty_set),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2] : ~ member(X2,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set) ).
fof(f129,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,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])],[f72,f73]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X3] :
( ~ member(X3,X1)
& member(X3,X0) )
=> ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f72,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,[],[f71]) ).
fof(f71,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,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
<=> subset(X1,X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f203,plain,
! [X0] :
( ~ subset(X0,sF12)
| equal_set(sF12,X0) ),
inference(resolution,[],[f202,f180]) ).
fof(f180,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X1,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_set(X1,X0) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X1,X0] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X1,X0] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ( subset(X1,X0)
& subset(X0,X1) )
<=> equal_set(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set) ).
fof(f202,plain,
! [X0] : subset(sF12,X0),
inference(resolution,[],[f201,f129]) ).
fof(f201,plain,
! [X0] : ~ member(X0,sF12),
inference(subsumption_resolution,[],[f200,f150]) ).
fof(f200,plain,
! [X0] :
( member(sK6(X0,sK3,empty_set),empty_set)
| ~ member(X0,sF12) ),
inference(superposition,[],[f146,f184]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ member(X0,inverse_image2(X1,X2))
| member(sK6(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( ( member(sK6(X0,X1,X2),X2)
& apply(X1,X0,sK6(X0,X1,X2)) )
| ~ member(X0,inverse_image2(X1,X2)) )
& ( member(X0,inverse_image2(X1,X2))
| ! [X4] :
( ~ member(X4,X2)
| ~ apply(X1,X0,X4) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f91,f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ? [X3] :
( member(X3,X2)
& apply(X1,X0,X3) )
=> ( member(sK6(X0,X1,X2),X2)
& apply(X1,X0,sK6(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( member(X3,X2)
& apply(X1,X0,X3) )
| ~ member(X0,inverse_image2(X1,X2)) )
& ( member(X0,inverse_image2(X1,X2))
| ! [X4] :
( ~ member(X4,X2)
| ~ apply(X1,X0,X4) ) ) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [X2,X0,X1] :
( ( ? [X3] :
( member(X3,X1)
& apply(X0,X2,X3) )
| ~ member(X2,inverse_image2(X0,X1)) )
& ( member(X2,inverse_image2(X0,X1))
| ! [X3] :
( ~ member(X3,X1)
| ~ apply(X0,X2,X3) ) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ? [X3] :
( member(X3,X1)
& apply(X0,X2,X3) )
<=> member(X2,inverse_image2(X0,X1)) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X5,X1,X2] :
( member(X2,inverse_image2(X5,X1))
<=> ? [X4] :
( apply(X5,X2,X4)
& member(X4,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_image2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET764+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.11/0.13 % 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 : n016.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 14:42:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (18406)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (18412)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)
% 0.19/0.52 % (18404)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)
% 0.19/0.52 % (18391)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (18391)Refutation not found, incomplete strategy% (18391)------------------------------
% 0.19/0.52 % (18391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (18390)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)
% 0.19/0.52 % (18391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (18391)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (18391)Memory used [KB]: 5628
% 0.19/0.52 % (18391)Time elapsed: 0.117 s
% 0.19/0.52 % (18391)Instructions burned: 6 (million)
% 0.19/0.52 % (18391)------------------------------
% 0.19/0.52 % (18391)------------------------------
% 0.19/0.52 % (18396)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.53 % (18398)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (18393)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)
% 0.19/0.53 % (18417)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53 % (18398)Instruction limit reached!
% 0.19/0.53 % (18398)------------------------------
% 0.19/0.53 % (18398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (18398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (18398)Termination reason: Unknown
% 0.19/0.53 % (18398)Termination phase: Unused predicate definition removal
% 0.19/0.53
% 0.19/0.53 % (18398)Memory used [KB]: 895
% 0.19/0.53 % (18398)Time elapsed: 0.004 s
% 0.19/0.53 % (18398)Instructions burned: 2 (million)
% 0.19/0.53 % (18398)------------------------------
% 0.19/0.53 % (18398)------------------------------
% 0.19/0.53 % (18418)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (18394)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (18392)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)
% 0.19/0.53 % (18395)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)
% 0.19/0.53 % (18403)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (18414)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (18394)First to succeed.
% 0.19/0.53 % (18394)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (18394)------------------------------
% 0.19/0.53 % (18394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (18394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (18394)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (18394)Memory used [KB]: 5628
% 0.19/0.53 % (18394)Time elapsed: 0.128 s
% 0.19/0.53 % (18394)Instructions burned: 5 (million)
% 0.19/0.53 % (18394)------------------------------
% 0.19/0.53 % (18394)------------------------------
% 0.19/0.53 % (18389)Success in time 0.182 s
%------------------------------------------------------------------------------