TSTP Solution File: SET015-4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET015-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n011.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 18:23:06 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 33 ( 16 unt; 0 def)
% Number of atoms : 57 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 27 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f134,plain,
$false,
inference(subsumption_resolution,[],[f130,f123]) ).
fof(f123,plain,
member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),complement(as)),
inference(resolution,[],[f114,f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f114,plain,
member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),intersection(complement(bs),complement(as))),
inference(resolution,[],[f105,f33]) ).
fof(f33,plain,
! [X6] :
( member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),complement(X6))
| member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),X6) ),
inference(resolution,[],[f9,f21]) ).
fof(f21,plain,
little_set(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs))))),
inference(extensionality_resolution,[],[f2,f19]) ).
fof(f19,plain,
complement(intersection(complement(bs),complement(as))) != complement(intersection(complement(as),complement(bs))),
inference(backward_demodulation,[],[f18,f17]) ).
fof(f17,plain,
cs = complement(intersection(complement(as),complement(bs))),
inference(definition_unfolding,[],[f13,f10]) ).
fof(f10,axiom,
! [X0,X1] : union(X0,X1) = complement(intersection(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f13,axiom,
union(as,bs) = cs,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_union_b_is_c) ).
fof(f18,plain,
cs != complement(intersection(complement(bs),complement(as))),
inference(backward_demodulation,[],[f15,f16]) ).
fof(f16,plain,
ds = complement(intersection(complement(bs),complement(as))),
inference(definition_unfolding,[],[f14,f10]) ).
fof(f14,axiom,
union(bs,as) = ds,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_union_a_is_d) ).
fof(f15,axiom,
cs != ds,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_equals_d) ).
fof(f2,axiom,
! [X0,X1] :
( little_set(f1(X0,X1))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality1) ).
fof(f9,axiom,
! [X2,X0] :
( ~ little_set(X2)
| member(X2,complement(X0))
| member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f105,plain,
~ member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),complement(intersection(complement(bs),complement(as)))),
inference(subsumption_resolution,[],[f104,f19]) ).
fof(f104,plain,
( complement(intersection(complement(bs),complement(as))) = complement(intersection(complement(as),complement(bs)))
| ~ member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),complement(intersection(complement(bs),complement(as)))) ),
inference(subsumption_resolution,[],[f97,f77]) ).
fof(f77,plain,
~ member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),intersection(complement(as),complement(bs))),
inference(subsumption_resolution,[],[f76,f6]) ).
fof(f76,plain,
( ~ member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),intersection(complement(as),complement(bs)))
| ~ member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),complement(bs)) ),
inference(subsumption_resolution,[],[f73,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f73,plain,
( ~ member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),complement(as))
| ~ member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),intersection(complement(as),complement(bs)))
| ~ member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),complement(bs)) ),
inference(resolution,[],[f71,f8]) ).
fof(f8,axiom,
! [X2,X0] :
( ~ member(X2,complement(X0))
| ~ member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f71,plain,
( member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),complement(intersection(complement(as),complement(bs))))
| ~ member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),complement(bs))
| ~ member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),complement(as)) ),
inference(resolution,[],[f65,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f65,plain,
( ~ member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),intersection(complement(bs),complement(as)))
| member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),complement(intersection(complement(as),complement(bs)))) ),
inference(resolution,[],[f48,f8]) ).
fof(f48,plain,
( member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),complement(intersection(complement(bs),complement(as))))
| member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),complement(intersection(complement(as),complement(bs)))) ),
inference(extensionality_resolution,[],[f3,f19]) ).
fof(f3,axiom,
! [X0,X1] :
( member(f1(X0,X1),X1)
| member(f1(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality2) ).
fof(f97,plain,
( member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),intersection(complement(as),complement(bs)))
| complement(intersection(complement(bs),complement(as))) = complement(intersection(complement(as),complement(bs)))
| ~ member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),complement(intersection(complement(bs),complement(as)))) ),
inference(resolution,[],[f4,f33]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ member(f1(X0,X1),X1)
| ~ member(f1(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality3) ).
fof(f130,plain,
~ member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),complement(as)),
inference(resolution,[],[f124,f83]) ).
fof(f83,plain,
( ~ member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),complement(bs))
| ~ member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),complement(as)) ),
inference(resolution,[],[f77,f7]) ).
fof(f124,plain,
member(f1(complement(intersection(complement(bs),complement(as))),complement(intersection(complement(as),complement(bs)))),complement(bs)),
inference(resolution,[],[f114,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET015-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.14 % 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 : n011.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 12:50:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (14060)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51 % (14068)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51 % (14052)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)
% 0.20/0.51 % (14056)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (14055)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53 % (14047)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 % (14045)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 % (14065)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)
% 0.20/0.53 % (14043)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)
% 0.20/0.53 % (14048)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 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (14069)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)
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (14044)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)
% 0.20/0.53 % (14044)Refutation not found, incomplete strategy% (14044)------------------------------
% 0.20/0.53 % (14044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (14044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (14044)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (14044)Memory used [KB]: 5373
% 0.20/0.53 % (14044)Time elapsed: 0.126 s
% 0.20/0.53 % (14044)Instructions burned: 1 (million)
% 0.20/0.53 % (14044)------------------------------
% 0.20/0.53 % (14044)------------------------------
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [4]
% 0.20/0.53 TRYING [2]
% 0.20/0.54 % (14046)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)
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (14067)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 % (14057)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 % (14063)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)
% 0.20/0.54 % (14070)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)
% 0.20/0.54 % (14059)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)
% 0.20/0.54 % (14058)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 % (14066)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)
% 0.20/0.54 % (14071)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 TRYING [5]
% 0.20/0.54 % (14062)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)
% 0.20/0.54 % (14051)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (14049)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)
% 0.20/0.54 % (14050)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (14051)Instruction limit reached!
% 0.20/0.54 % (14051)------------------------------
% 0.20/0.54 % (14051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (14051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (14051)Termination reason: Unknown
% 0.20/0.54 % (14051)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (14051)Memory used [KB]: 5373
% 0.20/0.54 % (14051)Time elapsed: 0.140 s
% 0.20/0.54 % (14051)Instructions burned: 2 (million)
% 0.20/0.54 % (14051)------------------------------
% 0.20/0.54 % (14051)------------------------------
% 0.20/0.55 % (14061)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 % (14072)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 % (14064)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 % (14053)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 % (14065)First to succeed.
% 0.20/0.55 % (14054)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 TRYING [4]
% 0.20/0.55 TRYING [5]
% 0.20/0.56 TRYING [2]
% 0.20/0.56 TRYING [3]
% 0.20/0.56 % (14050)Instruction limit reached!
% 0.20/0.56 % (14050)------------------------------
% 0.20/0.56 % (14050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (14050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (14050)Termination reason: Unknown
% 0.20/0.56 % (14050)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (14050)Memory used [KB]: 5500
% 0.20/0.56 % (14050)Time elapsed: 0.144 s
% 0.20/0.56 % (14050)Instructions burned: 7 (million)
% 0.20/0.56 % (14050)------------------------------
% 0.20/0.56 % (14050)------------------------------
% 0.20/0.56 TRYING [4]
% 0.20/0.56 TRYING [5]
% 0.20/0.56 % (14065)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (14065)------------------------------
% 0.20/0.56 % (14065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (14065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (14065)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (14065)Memory used [KB]: 1023
% 0.20/0.56 % (14065)Time elapsed: 0.094 s
% 0.20/0.56 % (14065)Instructions burned: 8 (million)
% 0.20/0.56 % (14065)------------------------------
% 0.20/0.56 % (14065)------------------------------
% 0.20/0.56 % (14042)Success in time 0.207 s
%------------------------------------------------------------------------------