TSTP Solution File: SET584+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET584+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 : n026.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 18:24:59 EDT 2022
% Result : Theorem 1.30s 0.53s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 14 unt; 0 def)
% Number of atoms : 103 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 103 ( 41 ~; 31 |; 19 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 81 ( 69 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f65,plain,
$false,
inference(subsumption_resolution,[],[f64,f58]) ).
fof(f58,plain,
~ member(sK4(union(sK2,sK3),union(sK1,sK2)),sK1),
inference(resolution,[],[f54,f48]) ).
fof(f48,plain,
~ member(sK4(union(sK2,sK3),union(sK1,sK2)),sK3),
inference(resolution,[],[f40,f46]) ).
fof(f46,plain,
~ member(sK4(union(sK2,sK3),union(sK1,sK2)),union(sK2,sK3)),
inference(resolution,[],[f38,f45]) ).
fof(f45,plain,
~ subset(union(sK1,sK2),union(sK2,sK3)),
inference(backward_demodulation,[],[f35,f36]) ).
fof(f36,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(rectify,[],[f9]) ).
fof(f9,plain,
! [X1,X0] : union(X0,X1) = union(X1,X0),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] : union(X0,X1) = union(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_union) ).
fof(f35,plain,
~ subset(union(sK1,sK2),union(sK3,sK2)),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( ~ subset(union(sK1,sK2),union(sK3,sK2))
& subset(sK1,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f18,f19]) ).
fof(f19,plain,
( ? [X0,X1,X2] :
( ~ subset(union(X0,X1),union(X2,X1))
& subset(X0,X2) )
=> ( ~ subset(union(sK1,sK2),union(sK3,sK2))
& subset(sK1,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1,X2] :
( ~ subset(union(X0,X1),union(X2,X1))
& subset(X0,X2) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
? [X1,X2,X0] :
( ~ subset(union(X1,X2),union(X0,X2))
& subset(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
~ ! [X1,X0,X2] :
( subset(X1,X0)
=> subset(union(X1,X2),union(X0,X2)) ),
inference(rectify,[],[f7]) ).
fof(f7,negated_conjecture,
~ ! [X1,X0,X2] :
( subset(X0,X1)
=> subset(union(X0,X2),union(X1,X2)) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
! [X1,X0,X2] :
( subset(X0,X1)
=> subset(union(X0,X2),union(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th33) ).
fof(f38,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ member(sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( member(sK4(X0,X1),X1)
& ~ member(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( ~ member(X3,X1)
| member(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f23,f24]) ).
fof(f24,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) )
=> ( member(sK4(X0,X1),X1)
& ~ member(sK4(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) )
& ( ! [X3] :
( ~ member(X3,X1)
| member(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) )
& ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( subset(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f40,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) )
& ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) ) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1,X0,X2] :
( ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X1,X0)) )
& ( member(X2,union(X1,X0))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X1,X0,X2] :
( ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X1,X0)) )
& ( member(X2,union(X1,X0))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X1,X0,X2] :
( ( member(X2,X1)
| member(X2,X0) )
<=> member(X2,union(X1,X0)) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f54,plain,
! [X0] :
( member(X0,sK3)
| ~ member(X0,sK1) ),
inference(resolution,[],[f37,f34]) ).
fof(f34,plain,
subset(sK1,sK3),
inference(cnf_transformation,[],[f20]) ).
fof(f37,plain,
! [X3,X0,X1] :
( ~ subset(X1,X0)
| member(X3,X0)
| ~ member(X3,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f64,plain,
member(sK4(union(sK2,sK3),union(sK1,sK2)),sK1),
inference(subsumption_resolution,[],[f59,f51]) ).
fof(f51,plain,
~ member(sK4(union(sK2,sK3),union(sK1,sK2)),sK2),
inference(resolution,[],[f41,f46]) ).
fof(f41,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f59,plain,
( member(sK4(union(sK2,sK3),union(sK1,sK2)),sK2)
| member(sK4(union(sK2,sK3),union(sK1,sK2)),sK1) ),
inference(resolution,[],[f42,f47]) ).
fof(f47,plain,
member(sK4(union(sK2,sK3),union(sK1,sK2)),union(sK1,sK2)),
inference(resolution,[],[f39,f45]) ).
fof(f39,plain,
! [X0,X1] :
( subset(X1,X0)
| member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET584+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
% 0.13/0.34 % Computer : n026.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 14:17:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (21512)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)
% 0.19/0.50 % (21514)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (21513)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (21527)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)
% 0.19/0.51 % (21519)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (21511)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (21510)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 % (21500)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)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.52 % (21503)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)
% 0.19/0.52 % (21530)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)
% 0.19/0.52 TRYING [4]
% 0.19/0.52 % (21526)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (21506)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)
% 0.19/0.52 % (21507)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)
% 1.30/0.52 % (21518)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.30/0.52 TRYING [1]
% 1.30/0.52 % (21501)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)
% 1.30/0.52 TRYING [2]
% 1.30/0.52 % (21505)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.52 TRYING [3]
% 1.30/0.52 % (21524)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)
% 1.30/0.53 % (21501)Refutation not found, incomplete strategy% (21501)------------------------------
% 1.30/0.53 % (21501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53 % (21501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53 % (21501)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.53
% 1.30/0.53 % (21501)Memory used [KB]: 5373
% 1.30/0.53 % (21501)Time elapsed: 0.125 s
% 1.30/0.53 % (21501)Instructions burned: 2 (million)
% 1.30/0.53 % (21501)------------------------------
% 1.30/0.53 % (21501)------------------------------
% 1.30/0.53 TRYING [4]
% 1.30/0.53 % (21516)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)
% 1.30/0.53 % (21521)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)
% 1.30/0.53 % (21523)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)
% 1.30/0.53 TRYING [1]
% 1.30/0.53 TRYING [2]
% 1.30/0.53 TRYING [3]
% 1.30/0.53 % (21523)First to succeed.
% 1.30/0.53 TRYING [4]
% 1.30/0.53 % (21523)Refutation found. Thanks to Tanya!
% 1.30/0.53 % SZS status Theorem for theBenchmark
% 1.30/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.53 % (21523)------------------------------
% 1.30/0.53 % (21523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53 % (21523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53 % (21523)Termination reason: Refutation
% 1.30/0.53
% 1.30/0.53 % (21523)Memory used [KB]: 895
% 1.30/0.53 % (21523)Time elapsed: 0.140 s
% 1.30/0.53 % (21523)Instructions burned: 2 (million)
% 1.30/0.53 % (21523)------------------------------
% 1.30/0.53 % (21523)------------------------------
% 1.30/0.53 % (21497)Success in time 0.184 s
%------------------------------------------------------------------------------