TSTP Solution File: SET012-3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET012-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n013.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 18:18:19 EDT 2022
% Result : Unsatisfiable 1.35s 0.53s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 46 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 17 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 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 : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f350,plain,
$false,
inference(subsumption_resolution,[],[f349,f323]) ).
fof(f323,plain,
~ member(f1(as,cs),bs),
inference(unit_resulting_resolution,[],[f321,f169]) ).
fof(f169,plain,
! [X1] :
( ~ member(X1,bs)
| ~ member(X1,as) ),
inference(superposition,[],[f31,f142]) ).
fof(f142,axiom,
complement(as) = bs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_of_a_is_b) ).
fof(f31,axiom,
! [X3,X0] :
( ~ member(X3,complement(X0))
| ~ member(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f321,plain,
member(f1(as,cs),as),
inference(subsumption_resolution,[],[f314,f144]) ).
fof(f144,axiom,
as != cs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_equals_c) ).
fof(f314,plain,
( as = cs
| member(f1(as,cs),as) ),
inference(factoring,[],[f259]) ).
fof(f259,plain,
! [X0] :
( member(f1(X0,cs),as)
| member(f1(X0,cs),X0)
| cs = X0 ),
inference(subsumption_resolution,[],[f257,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( little_set(f1(X0,X1))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality1) ).
fof(f257,plain,
! [X0] :
( ~ little_set(f1(X0,cs))
| member(f1(X0,cs),X0)
| cs = X0
| member(f1(X0,cs),as) ),
inference(resolution,[],[f180,f168]) ).
fof(f168,plain,
! [X0] :
( member(X0,bs)
| member(X0,as)
| ~ little_set(X0) ),
inference(superposition,[],[f32,f142]) ).
fof(f32,axiom,
! [X3,X0] :
( member(X3,complement(X0))
| ~ little_set(X3)
| member(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f180,plain,
! [X0] :
( ~ member(f1(X0,cs),bs)
| cs = X0
| member(f1(X0,cs),X0) ),
inference(resolution,[],[f171,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( member(f1(X0,X1),X1)
| member(f1(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality2) ).
fof(f171,plain,
! [X1] :
( ~ member(X1,cs)
| ~ member(X1,bs) ),
inference(superposition,[],[f31,f143]) ).
fof(f143,axiom,
complement(bs) = cs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_of_b_is_c) ).
fof(f349,plain,
member(f1(as,cs),bs),
inference(subsumption_resolution,[],[f348,f164]) ).
fof(f164,plain,
little_set(f1(as,cs)),
inference(unit_resulting_resolution,[],[f144,f2]) ).
fof(f348,plain,
( ~ little_set(f1(as,cs))
| member(f1(as,cs),bs) ),
inference(resolution,[],[f322,f170]) ).
fof(f170,plain,
! [X0] :
( member(X0,cs)
| member(X0,bs)
| ~ little_set(X0) ),
inference(superposition,[],[f32,f143]) ).
fof(f322,plain,
~ member(f1(as,cs),cs),
inference(unit_resulting_resolution,[],[f144,f321,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ member(f1(X0,X1),X0)
| X0 = X1
| ~ member(f1(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET012-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n013.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 12:47:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (1167)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50 % (1176)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.50 % (1185)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50 % (1164)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.50 % (1184)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.50 % (1177)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.50 % (1165)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.50 % (1164)Refutation not found, incomplete strategy% (1164)------------------------------
% 0.19/0.50 % (1164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (1164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (1164)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (1164)Memory used [KB]: 5884
% 0.19/0.50 % (1164)Time elapsed: 0.097 s
% 0.19/0.50 % (1164)Instructions burned: 1 (million)
% 0.19/0.50 % (1164)------------------------------
% 0.19/0.50 % (1164)------------------------------
% 0.19/0.51 % (1168)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (1168)Refutation not found, incomplete strategy% (1168)------------------------------
% 0.19/0.51 % (1168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (1177)Instruction limit reached!
% 0.19/0.51 % (1177)------------------------------
% 0.19/0.51 % (1177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (1177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (1177)Termination reason: Unknown
% 0.19/0.51 % (1177)Termination phase: Finite model building preprocessing
% 0.19/0.51
% 0.19/0.51 % (1177)Memory used [KB]: 1535
% 0.19/0.51 % (1177)Time elapsed: 0.007 s
% 0.19/0.51 % (1177)Instructions burned: 7 (million)
% 0.19/0.51 % (1177)------------------------------
% 0.19/0.51 % (1177)------------------------------
% 0.19/0.51 % (1168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (1168)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (1168)Memory used [KB]: 5884
% 0.19/0.51 % (1168)Time elapsed: 0.064 s
% 0.19/0.51 % (1168)Instructions burned: 1 (million)
% 0.19/0.51 % (1168)------------------------------
% 0.19/0.51 % (1168)------------------------------
% 0.19/0.52 % (1173)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.52 % (1191)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.52 % (1181)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (1189)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.52 % (1181)Instruction limit reached!
% 0.19/0.52 % (1181)------------------------------
% 0.19/0.52 % (1181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (1181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (1181)Termination reason: Unknown
% 0.19/0.52 % (1181)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (1181)Memory used [KB]: 1535
% 0.19/0.52 % (1181)Time elapsed: 0.005 s
% 0.19/0.52 % (1181)Instructions burned: 8 (million)
% 0.19/0.52 % (1181)------------------------------
% 0.19/0.52 % (1181)------------------------------
% 0.19/0.53 % (1183)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.53 % (1170)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (1190)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.53 % (1163)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.53 % (1184)First to succeed.
% 0.19/0.53 % (1190)Refutation not found, incomplete strategy% (1190)------------------------------
% 0.19/0.53 % (1190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (1190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1190)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (1190)Memory used [KB]: 1407
% 0.19/0.53 % (1190)Time elapsed: 0.131 s
% 0.19/0.53 % (1190)Instructions burned: 2 (million)
% 0.19/0.53 % (1190)------------------------------
% 0.19/0.53 % (1190)------------------------------
% 0.19/0.53 % (1161)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.35/0.53 % (1192)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.35/0.53 % (1166)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.35/0.53 % (1180)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.35/0.53 % (1170)Instruction limit reached!
% 1.35/0.53 % (1170)------------------------------
% 1.35/0.53 % (1170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.53 % (1170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.53 % (1170)Termination reason: Unknown
% 1.35/0.53 % (1170)Termination phase: Equality proxy
% 1.35/0.53
% 1.35/0.53 % (1170)Memory used [KB]: 1407
% 1.35/0.53 % (1170)Time elapsed: 0.005 s
% 1.35/0.53 % (1170)Instructions burned: 3 (million)
% 1.35/0.53 % (1170)------------------------------
% 1.35/0.53 % (1170)------------------------------
% 1.35/0.53 % (1184)Refutation found. Thanks to Tanya!
% 1.35/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.35/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.53 % (1184)------------------------------
% 1.35/0.53 % (1184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.53 % (1184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.53 % (1184)Termination reason: Refutation
% 1.35/0.53
% 1.35/0.53 % (1184)Memory used [KB]: 6268
% 1.35/0.53 % (1184)Time elapsed: 0.120 s
% 1.35/0.53 % (1184)Instructions burned: 13 (million)
% 1.35/0.53 % (1184)------------------------------
% 1.35/0.53 % (1184)------------------------------
% 1.35/0.53 % (1154)Success in time 0.18 s
%------------------------------------------------------------------------------