TSTP Solution File: SET013-4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET013-4 : 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_uns --cores 0 -t %d %s
% Computer : n017.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 18:18:20 EDT 2022
% Result : Unsatisfiable 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 9 unt; 0 def)
% Number of atoms : 45 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 23 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f103,plain,
$false,
inference(subsumption_resolution,[],[f102,f63]) ).
fof(f63,plain,
member(f1(intersection(as,bs),intersection(bs,as)),as),
inference(subsumption_resolution,[],[f59,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f59,plain,
( member(f1(intersection(as,bs),intersection(bs,as)),intersection(as,bs))
| member(f1(intersection(as,bs),intersection(bs,as)),as) ),
inference(resolution,[],[f53,f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f53,plain,
( member(f1(intersection(as,bs),intersection(bs,as)),intersection(bs,as))
| member(f1(intersection(as,bs),intersection(bs,as)),intersection(as,bs)) ),
inference(forward_demodulation,[],[f52,f11]) ).
fof(f11,axiom,
intersection(bs,as) = ds,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_of_b_and_a_is_d) ).
fof(f52,plain,
( member(f1(intersection(as,bs),ds),intersection(as,bs))
| member(f1(intersection(as,bs),intersection(bs,as)),intersection(bs,as)) ),
inference(forward_demodulation,[],[f37,f11]) ).
fof(f37,plain,
( member(f1(intersection(as,bs),ds),ds)
| member(f1(intersection(as,bs),ds),intersection(as,bs)) ),
inference(extensionality_resolution,[],[f3,f13]) ).
fof(f13,plain,
intersection(as,bs) != ds,
inference(backward_demodulation,[],[f12,f10]) ).
fof(f10,axiom,
intersection(as,bs) = cs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_of_a_and_b_is_c) ).
fof(f12,axiom,
cs != ds,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_equals_d) ).
fof(f3,axiom,
! [X0,X1] :
( member(f1(X0,X1),X0)
| member(f1(X0,X1),X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality2) ).
fof(f102,plain,
~ member(f1(intersection(as,bs),intersection(bs,as)),as),
inference(subsumption_resolution,[],[f101,f62]) ).
fof(f62,plain,
member(f1(intersection(as,bs),intersection(bs,as)),bs),
inference(subsumption_resolution,[],[f60,f6]) ).
fof(f60,plain,
( member(f1(intersection(as,bs),intersection(bs,as)),intersection(as,bs))
| member(f1(intersection(as,bs),intersection(bs,as)),bs) ),
inference(resolution,[],[f53,f5]) ).
fof(f101,plain,
( ~ member(f1(intersection(as,bs),intersection(bs,as)),bs)
| ~ member(f1(intersection(as,bs),intersection(bs,as)),as) ),
inference(resolution,[],[f94,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f94,plain,
~ member(f1(intersection(as,bs),intersection(bs,as)),intersection(as,bs)),
inference(subsumption_resolution,[],[f93,f62]) ).
fof(f93,plain,
( ~ member(f1(intersection(as,bs),intersection(bs,as)),intersection(as,bs))
| ~ member(f1(intersection(as,bs),intersection(bs,as)),bs) ),
inference(subsumption_resolution,[],[f92,f63]) ).
fof(f92,plain,
( ~ member(f1(intersection(as,bs),intersection(bs,as)),intersection(as,bs))
| ~ member(f1(intersection(as,bs),intersection(bs,as)),as)
| ~ member(f1(intersection(as,bs),intersection(bs,as)),bs) ),
inference(resolution,[],[f87,f7]) ).
fof(f87,plain,
( ~ member(f1(intersection(as,bs),intersection(bs,as)),intersection(bs,as))
| ~ member(f1(intersection(as,bs),intersection(bs,as)),intersection(as,bs)) ),
inference(forward_demodulation,[],[f86,f11]) ).
fof(f86,plain,
( ~ member(f1(intersection(as,bs),intersection(bs,as)),intersection(bs,as))
| ~ member(f1(intersection(as,bs),ds),intersection(as,bs)) ),
inference(forward_demodulation,[],[f72,f11]) ).
fof(f72,plain,
( ~ member(f1(intersection(as,bs),ds),ds)
| ~ member(f1(intersection(as,bs),ds),intersection(as,bs)) ),
inference(extensionality_resolution,[],[f4,f13]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ member(f1(X0,X1),X1)
| ~ member(f1(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET013-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n017.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
% 0.13/0.34 % DateTime : Tue Aug 30 12:16:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.48 % (8369)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.50 % (8385)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)
% 0.18/0.50 % (8363)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)
% 0.18/0.50 % (8373)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)
% 0.18/0.50 % (8359)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.50 % (8377)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)
% 0.18/0.51 % (8369)Instruction limit reached!
% 0.18/0.51 % (8369)------------------------------
% 0.18/0.51 % (8369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (8369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (8369)Termination reason: Unknown
% 0.18/0.51 % (8369)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (8369)Memory used [KB]: 5884
% 0.18/0.51 % (8369)Time elapsed: 0.096 s
% 0.18/0.51 % (8369)Instructions burned: 6 (million)
% 0.18/0.51 % (8369)------------------------------
% 0.18/0.51 % (8369)------------------------------
% 0.18/0.51 % (8388)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)
% 0.18/0.51 % (8388)Refutation not found, incomplete strategy% (8388)------------------------------
% 0.18/0.51 % (8388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (8388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (8388)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (8388)Memory used [KB]: 5756
% 0.18/0.51 % (8388)Time elapsed: 0.077 s
% 0.18/0.51 % (8388)------------------------------
% 0.18/0.51 % (8388)------------------------------
% 0.18/0.51 % (8365)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)
% 0.18/0.51 % (8377)Refutation not found, incomplete strategy% (8377)------------------------------
% 0.18/0.51 % (8377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (8362)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)
% 0.18/0.51 % (8377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (8377)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (8377)Memory used [KB]: 10234
% 0.18/0.51 % (8377)Time elapsed: 0.116 s
% 0.18/0.51 % (8377)Instructions burned: 2 (million)
% 0.18/0.51 % (8377)------------------------------
% 0.18/0.51 % (8377)------------------------------
% 0.18/0.52 % (8365)First to succeed.
% 0.18/0.52 % (8366)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)
% 0.18/0.52 % (8361)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)
% 0.18/0.52 % (8381)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)
% 0.18/0.52 % (8363)Refutation not found, incomplete strategy% (8363)------------------------------
% 0.18/0.52 % (8363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (8363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (8363)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52
% 0.18/0.52 % (8363)Memory used [KB]: 5756
% 0.18/0.52 % (8363)Time elapsed: 0.127 s
% 0.18/0.52 % (8363)Instructions burned: 2 (million)
% 0.18/0.52 % (8363)------------------------------
% 0.18/0.52 % (8363)------------------------------
% 0.18/0.52 % (8364)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.52 % (8386)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)
% 0.18/0.52 % (8386)Refutation not found, incomplete strategy% (8386)------------------------------
% 0.18/0.52 % (8386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (8386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (8386)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52
% 0.18/0.52 % (8386)Memory used [KB]: 1279
% 0.18/0.52 % (8386)Time elapsed: 0.130 s
% 0.18/0.52 % (8386)Instructions burned: 1 (million)
% 0.18/0.52 % (8386)------------------------------
% 0.18/0.52 % (8386)------------------------------
% 0.18/0.52 % (8372)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.52 % (8378)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)
% 0.18/0.52 % (8372)Instruction limit reached!
% 0.18/0.52 % (8372)------------------------------
% 0.18/0.52 % (8372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (8372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (8372)Termination reason: Unknown
% 0.18/0.52 % (8372)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (8372)Memory used [KB]: 5884
% 0.18/0.52 % (8372)Time elapsed: 0.092 s
% 0.18/0.52 % (8372)Instructions burned: 4 (million)
% 0.18/0.52 % (8372)------------------------------
% 0.18/0.52 % (8372)------------------------------
% 0.18/0.53 % (8378)Instruction limit reached!
% 0.18/0.53 % (8378)------------------------------
% 0.18/0.53 % (8378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (8378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (8378)Termination reason: Unknown
% 0.18/0.53 % (8378)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (8378)Memory used [KB]: 5884
% 0.18/0.53 % (8378)Time elapsed: 0.134 s
% 0.18/0.53 % (8378)Instructions burned: 7 (million)
% 0.18/0.53 % (8378)------------------------------
% 0.18/0.53 % (8378)------------------------------
% 0.18/0.53 % (8370)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)
% 0.18/0.53 % (8382)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)
% 0.18/0.53 % (8384)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.18/0.53 % (8383)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.18/0.53 % (8387)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)
% 0.18/0.53 % (8360)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.18/0.53 % (8365)Refutation found. Thanks to Tanya!
% 0.18/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53 % (8365)------------------------------
% 0.18/0.53 % (8365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (8365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (8365)Termination reason: Refutation
% 0.18/0.53
% 0.18/0.53 % (8365)Memory used [KB]: 1407
% 0.18/0.53 % (8365)Time elapsed: 0.121 s
% 0.18/0.53 % (8365)Instructions burned: 4 (million)
% 0.18/0.53 % (8365)------------------------------
% 0.18/0.53 % (8365)------------------------------
% 0.18/0.53 % (8358)Success in time 0.183 s
%------------------------------------------------------------------------------