TSTP Solution File: SET629+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET629+3 : 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 : n009.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 18:25:09 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 15 unt; 0 def)
% Number of atoms : 114 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 120 ( 49 ~; 36 |; 25 &)
% ( 7 <=>; 3 =>; 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 81 ( 73 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f90,plain,
$false,
inference(subsumption_resolution,[],[f88,f83]) ).
fof(f83,plain,
~ member(sK1(sF4,sF5),sF5),
inference(resolution,[],[f78,f65]) ).
fof(f65,plain,
! [X0] :
( ~ member(X0,sK2)
| ~ member(X0,sF5) ),
inference(superposition,[],[f51,f57]) ).
fof(f57,plain,
difference(sK3,sK2) = sF5,
introduced(function_definition,[]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X1,X0))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( ( ~ member(X2,X0)
& member(X2,X1) )
| ~ member(X2,difference(X1,X0)) )
& ( member(X2,difference(X1,X0))
| member(X2,X0)
| ~ member(X2,X1) ) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X2,X0] :
( ( ( ~ member(X0,X1)
& member(X0,X2) )
| ~ member(X0,difference(X2,X1)) )
& ( member(X0,difference(X2,X1))
| member(X0,X1)
| ~ member(X0,X2) ) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X1,X2,X0] :
( ( ( ~ member(X0,X1)
& member(X0,X2) )
| ~ member(X0,difference(X2,X1)) )
& ( member(X0,difference(X2,X1))
| member(X0,X1)
| ~ member(X0,X2) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X1,X2,X0] :
( ( ~ member(X0,X1)
& member(X0,X2) )
<=> member(X0,difference(X2,X1)) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0] :
( ( ~ member(X2,X1)
& member(X2,X0) )
<=> member(X2,difference(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
fof(f78,plain,
member(sK1(sF4,sF5),sK2),
inference(resolution,[],[f76,f62]) ).
fof(f62,plain,
! [X0] :
( ~ member(X0,sF4)
| member(X0,sK2) ),
inference(superposition,[],[f39,f56]) ).
fof(f56,plain,
intersection(sK3,sK2) = sF4,
introduced(function_definition,[]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X2,X1))
| member(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X2,X1))
| ~ member(X0,X1)
| ~ member(X0,X2) )
& ( ( member(X0,X1)
& member(X0,X2) )
| ~ member(X0,intersection(X2,X1)) ) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X2,X0,X1] :
( ( member(X2,intersection(X1,X0))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X1,X0)) ) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ( member(X2,intersection(X1,X0))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X1,X0)) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X2,X0,X1] :
( member(X2,intersection(X1,X0))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
fof(f76,plain,
member(sK1(sF4,sF5),sF4),
inference(resolution,[],[f46,f59]) ).
fof(f59,plain,
intersect(sF4,sF5),
inference(resolution,[],[f48,f58]) ).
fof(f58,plain,
~ disjoint(sF4,sF5),
inference(definition_folding,[],[f53,f57,f56]) ).
fof(f53,plain,
~ disjoint(intersection(sK3,sK2),difference(sK3,sK2)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
~ disjoint(intersection(sK3,sK2),difference(sK3,sK2)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f18,f35]) ).
fof(f35,plain,
( ? [X0,X1] : ~ disjoint(intersection(X1,X0),difference(X1,X0))
=> ~ disjoint(intersection(sK3,sK2),difference(sK3,sK2)) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1] : ~ disjoint(intersection(X1,X0),difference(X1,X0)),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
~ ! [X1,X0] : disjoint(intersection(X1,X0),difference(X1,X0)),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X1,X0] : disjoint(intersection(X0,X1),difference(X0,X1)),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X1,X0] : disjoint(intersection(X0,X1),difference(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_and_difference_disjoint) ).
fof(f48,plain,
! [X0,X1] :
( disjoint(X0,X1)
| intersect(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( intersect(X0,X1)
| disjoint(X0,X1) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( intersect(X1,X0)
| disjoint(X1,X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X1,X0] :
( ~ intersect(X1,X0)
=> disjoint(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f11,plain,
! [X1,X0] :
( disjoint(X1,X0)
<=> ~ intersect(X1,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ~ intersect(X0,X1)
<=> disjoint(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjoint_defn) ).
fof(f46,plain,
! [X0,X1] :
( ~ intersect(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( ( member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) )
| ~ intersect(X0,X1) )
& ( intersect(X0,X1)
| ! [X3] :
( ~ member(X3,X1)
| ~ member(X3,X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f27,f28]) ).
fof(f28,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X1)
& member(X2,X0) )
=> ( member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0,X1] :
( ( ? [X2] :
( member(X2,X1)
& member(X2,X0) )
| ~ intersect(X0,X1) )
& ( intersect(X0,X1)
| ! [X3] :
( ~ member(X3,X1)
| ~ member(X3,X0) ) ) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( ? [X2] :
( member(X2,X1)
& member(X2,X0) )
| ~ intersect(X0,X1) )
& ( intersect(X0,X1)
| ! [X2] :
( ~ member(X2,X1)
| ~ member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ? [X2] :
( member(X2,X1)
& member(X2,X0) )
<=> intersect(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersect_defn) ).
fof(f88,plain,
member(sK1(sF4,sF5),sF5),
inference(resolution,[],[f47,f59]) ).
fof(f47,plain,
! [X0,X1] :
( ~ intersect(X0,X1)
| member(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET629+3 : 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
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 14:03:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (7028)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 (3000ds/99Mi)
% 0.19/0.48 % (7013)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.48 % (7013)Refutation not found, incomplete strategy% (7013)------------------------------
% 0.19/0.48 % (7013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (7013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (7013)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48
% 0.19/0.48 % (7013)Memory used [KB]: 5373
% 0.19/0.48 % (7013)Time elapsed: 0.086 s
% 0.19/0.48 % (7013)Instructions burned: 2 (million)
% 0.19/0.48 % (7013)------------------------------
% 0.19/0.48 % (7013)------------------------------
% 0.19/0.50 % (7016)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51 % (7023)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.52 % (7031)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 (3000ds/100Mi)
% 0.19/0.52 % (7040)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.52 % (7029)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.52 % (7038)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 (3000ds/68Mi)
% 0.19/0.52 % (7040)First to succeed.
% 0.19/0.52 % (7034)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 (3000ds/498Mi)
% 0.19/0.52 % (7041)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 (3000ds/355Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (7040)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (7040)------------------------------
% 0.19/0.52 % (7040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (7040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (7040)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (7040)Memory used [KB]: 5373
% 0.19/0.52 % (7040)Time elapsed: 0.131 s
% 0.19/0.52 % (7040)Instructions burned: 2 (million)
% 0.19/0.52 % (7040)------------------------------
% 0.19/0.52 % (7040)------------------------------
% 0.19/0.52 % (7011)Success in time 0.173 s
%------------------------------------------------------------------------------