TSTP Solution File: SET635+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET635+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 : n018.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 18:25:11 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 31 unt; 0 def)
% Number of atoms : 60 ( 42 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 39 ( 19 ~; 10 |; 6 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 80 ( 74 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f308,plain,
$false,
inference(subsumption_resolution,[],[f307,f290]) ).
fof(f290,plain,
! [X6,X4,X5] : intersection(X4,difference(X5,X6)) = intersection(X5,difference(X4,X6)),
inference(superposition,[],[f61,f132]) ).
fof(f132,plain,
! [X3,X4,X5] : difference(intersection(X4,X3),X5) = intersection(X3,difference(X4,X5)),
inference(superposition,[],[f61,f69]) ).
fof(f69,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0] : intersection(X0,X1) = intersection(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_intersection) ).
fof(f61,plain,
! [X2,X0,X1] : difference(intersection(X1,X0),X2) = intersection(X1,difference(X0,X2)),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] : difference(intersection(X1,X0),X2) = intersection(X1,difference(X0,X2)),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X2,X0,X1] : difference(intersection(X0,X2),X1) = intersection(X0,difference(X2,X1)),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X2,X1] : intersection(X0,difference(X1,X2)) = difference(intersection(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_and_intersection) ).
fof(f307,plain,
intersection(sK0,difference(sK1,sK2)) != intersection(sK1,difference(sK0,sK2)),
inference(forward_demodulation,[],[f291,f223]) ).
fof(f223,plain,
! [X0,X1] : difference(X0,X1) = difference(X0,intersection(X0,X1)),
inference(forward_demodulation,[],[f205,f96]) ).
fof(f96,plain,
! [X0] : union(empty_set,X0) = X0,
inference(superposition,[],[f62,f51]) ).
fof(f51,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] : union(X0,X1) = union(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_union) ).
fof(f62,plain,
! [X0] : union(X0,empty_set) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : union(X0,empty_set) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_empty_set) ).
fof(f205,plain,
! [X0,X1] : union(empty_set,difference(X0,X1)) = difference(X0,intersection(X0,X1)),
inference(superposition,[],[f68,f82]) ).
fof(f82,plain,
! [X0] : empty_set = difference(X0,X0),
inference(resolution,[],[f67,f79]) ).
fof(f79,plain,
! [X1] : subset(X1,X1),
inference(equality_resolution,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( subset(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ( subset(X0,X1)
& subset(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).
fof(f67,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| empty_set = difference(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ( empty_set = difference(X1,X0)
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| empty_set != difference(X1,X0) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( empty_set = difference(X1,X0)
<=> subset(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( difference(X0,X1) = empty_set
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_empty_set) ).
fof(f68,plain,
! [X2,X0,X1] : difference(X1,intersection(X0,X2)) = union(difference(X1,X0),difference(X1,X2)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] : difference(X1,intersection(X0,X2)) = union(difference(X1,X0),difference(X1,X2)),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X0,X2,X1] : difference(X2,intersection(X0,X1)) = union(difference(X2,X0),difference(X2,X1)),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X2,X0] : difference(X0,intersection(X1,X2)) = union(difference(X0,X1),difference(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_and_intersection_and_union) ).
fof(f291,plain,
intersection(sK0,difference(sK1,intersection(sK1,sK2))) != intersection(sK1,difference(sK0,sK2)),
inference(superposition,[],[f49,f132]) ).
fof(f49,plain,
intersection(sK1,difference(sK0,sK2)) != difference(intersection(sK1,sK0),intersection(sK1,sK2)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
intersection(sK1,difference(sK0,sK2)) != difference(intersection(sK1,sK0),intersection(sK1,sK2)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f25,f27]) ).
fof(f27,plain,
( ? [X0,X1,X2] : intersection(X1,difference(X0,X2)) != difference(intersection(X1,X0),intersection(X1,X2))
=> intersection(sK1,difference(sK0,sK2)) != difference(intersection(sK1,sK0),intersection(sK1,sK2)) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0,X1,X2] : intersection(X1,difference(X0,X2)) != difference(intersection(X1,X0),intersection(X1,X2)),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X1,X0,X2] : intersection(X1,difference(X0,X2)) = difference(intersection(X1,X0),intersection(X1,X2)),
inference(rectify,[],[f17]) ).
fof(f17,negated_conjecture,
~ ! [X1,X0,X2] : intersection(X0,difference(X1,X2)) = difference(intersection(X0,X1),intersection(X0,X2)),
inference(negated_conjecture,[],[f16]) ).
fof(f16,conjecture,
! [X1,X0,X2] : intersection(X0,difference(X1,X2)) = difference(intersection(X0,X1),intersection(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th117) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET635+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
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:12:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 % (20418)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.48 % (20418)Instruction limit reached!
% 0.20/0.48 % (20418)------------------------------
% 0.20/0.48 % (20418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (20418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (20418)Termination reason: Unknown
% 0.20/0.48 % (20418)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (20418)Memory used [KB]: 895
% 0.20/0.48 % (20418)Time elapsed: 0.005 s
% 0.20/0.48 % (20418)Instructions burned: 2 (million)
% 0.20/0.48 % (20418)------------------------------
% 0.20/0.48 % (20418)------------------------------
% 0.20/0.48 % (20410)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)
% 0.20/0.48 TRYING [1]
% 0.20/0.48 TRYING [2]
% 0.20/0.48 TRYING [3]
% 0.20/0.49 TRYING [4]
% 0.20/0.52 % (20433)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)
% 0.20/0.53 % (20412)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)
% 0.20/0.53 % (20415)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)
% 0.20/0.53 % (20430)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)
% 0.20/0.53 % (20414)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (20416)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)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (20413)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)
% 0.20/0.53 TRYING [5]
% 0.20/0.53 % (20411)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)
% 0.20/0.54 % (20436)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)
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (20425)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)
% 0.20/0.54 % (20434)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (20428)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (20423)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (20438)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (20427)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (20429)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)
% 0.20/0.55 % (20431)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55 % (20420)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (20432)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)
% 0.20/0.55 % (20422)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (20439)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)
% 0.20/0.55 % (20421)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)
% 0.20/0.55 % (20419)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)
% 0.20/0.55 % (20426)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)
% 0.20/0.55 % (20437)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)
% 0.20/0.55 % (20435)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.56 % (20424)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)
% 0.20/0.56 % (20417)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56 % (20485)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 0.20/0.56 % (20417)Instruction limit reached!
% 0.20/0.56 % (20417)------------------------------
% 0.20/0.56 % (20417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (20417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (20417)Termination reason: Unknown
% 0.20/0.56 % (20417)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (20417)Memory used [KB]: 5500
% 0.20/0.56 % (20417)Time elapsed: 0.123 s
% 0.20/0.56 % (20417)Instructions burned: 7 (million)
% 0.20/0.56 % (20417)------------------------------
% 0.20/0.56 % (20417)------------------------------
% 0.20/0.56 TRYING [1]
% 0.20/0.56 TRYING [4]
% 0.20/0.56 TRYING [2]
% 0.20/0.56 TRYING [3]
% 0.20/0.57 % (20429)First to succeed.
% 0.20/0.57 % (20429)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (20429)------------------------------
% 0.20/0.57 % (20429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (20429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (20429)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (20429)Memory used [KB]: 1023
% 0.20/0.57 % (20429)Time elapsed: 0.168 s
% 0.20/0.57 % (20429)Instructions burned: 10 (million)
% 0.20/0.57 % (20429)------------------------------
% 0.20/0.57 % (20429)------------------------------
% 0.20/0.57 % (20409)Success in time 0.217 s
%------------------------------------------------------------------------------