TSTP Solution File: SET787-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET787-1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n001.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 18:22:16 EDT 2022
% Result : Unsatisfiable 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 46 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 19 ~; 17 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,plain,
$false,
inference(avatar_sat_refutation,[],[f28,f36,f40]) ).
fof(f40,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f39]) ).
fof(f39,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f38,f15]) ).
fof(f15,plain,
~ member(sk2,a),
inference(resolution,[],[f6,f14]) ).
fof(f14,axiom,
~ member(sk2,un(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',un_eq_Union_2_c2) ).
fof(f6,axiom,
! [X2,X3,X5] :
( member(X5,un(X2,X3))
| ~ member(X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unI1) ).
fof(f38,plain,
( member(sk2,a)
| ~ spl0_1 ),
inference(superposition,[],[f17,f23]) ).
fof(f23,plain,
( a = unionE_sk1(sk2,cons(a,cons(b,eptset)))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f21,plain,
( spl0_1
<=> a = unionE_sk1(sk2,cons(a,cons(b,eptset))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f17,plain,
member(sk2,unionE_sk1(sk2,cons(a,cons(b,eptset)))),
inference(resolution,[],[f1,f13]) ).
fof(f13,axiom,
member(sk2,union(cons(a,cons(b,eptset)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',un_eq_Union_2_c1) ).
fof(f1,axiom,
! [X0,X1] :
( ~ member(X0,union(X1))
| member(X0,unionE_sk1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f36,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f35]) ).
fof(f35,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f34,f16]) ).
fof(f16,plain,
~ member(sk2,b),
inference(resolution,[],[f7,f14]) ).
fof(f7,axiom,
! [X2,X3,X5] :
( member(X5,un(X2,X3))
| ~ member(X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unI2) ).
fof(f34,plain,
( member(sk2,b)
| ~ spl0_2 ),
inference(superposition,[],[f17,f31]) ).
fof(f31,plain,
( b = unionE_sk1(sk2,cons(a,cons(b,eptset)))
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f30,f8]) ).
fof(f8,axiom,
! [X6] : ~ member(X6,eptset),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f30,plain,
( member(unionE_sk1(sk2,cons(a,cons(b,eptset))),eptset)
| b = unionE_sk1(sk2,cons(a,cons(b,eptset)))
| ~ spl0_2 ),
inference(resolution,[],[f27,f5]) ).
fof(f5,axiom,
! [X0,X1,X4] :
( ~ member(X0,cons(X1,X4))
| member(X0,X4)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f27,plain,
( member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f25,plain,
( spl0_2
<=> member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f28,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f25,f21]) ).
fof(f19,plain,
( member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset))
| a = unionE_sk1(sk2,cons(a,cons(b,eptset))) ),
inference(resolution,[],[f5,f18]) ).
fof(f18,plain,
member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(a,cons(b,eptset))),
inference(resolution,[],[f2,f13]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ member(X0,union(X1))
| member(unionE_sk1(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET787-1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 14:41:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 % (20855)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)
% 0.18/0.48 % (20855)Instruction limit reached!
% 0.18/0.48 % (20855)------------------------------
% 0.18/0.48 % (20855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (20855)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (20855)Termination reason: Unknown
% 0.18/0.48 % (20855)Termination phase: Saturation
% 0.18/0.48
% 0.18/0.48 % (20855)Memory used [KB]: 5884
% 0.18/0.48 % (20855)Time elapsed: 0.071 s
% 0.18/0.48 % (20855)Instructions burned: 3 (million)
% 0.18/0.48 % (20855)------------------------------
% 0.18/0.48 % (20855)------------------------------
% 0.18/0.48 % (20863)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.48 % (20863)Instruction limit reached!
% 0.18/0.48 % (20863)------------------------------
% 0.18/0.48 % (20863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (20863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (20863)Termination reason: Unknown
% 0.18/0.48 % (20863)Termination phase: Saturation
% 0.18/0.48
% 0.18/0.48 % (20863)Memory used [KB]: 5884
% 0.18/0.48 % (20863)Time elapsed: 0.083 s
% 0.18/0.48 % (20863)Instructions burned: 2 (million)
% 0.18/0.48 % (20863)------------------------------
% 0.18/0.48 % (20863)------------------------------
% 0.18/0.49 % (20859)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.18/0.49 % (20857)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)
% 0.18/0.49 % (20858)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)
% 0.18/0.51 % (20851)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)
% 0.18/0.51 % (20847)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.51 % (20869)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)
% 0.18/0.51 % (20848)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)
% 0.18/0.51 % (20848)Refutation not found, incomplete strategy% (20848)------------------------------
% 0.18/0.51 % (20848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (20848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (20848)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (20848)Memory used [KB]: 1407
% 0.18/0.51 % (20848)Time elapsed: 0.124 s
% 0.18/0.51 % (20848)Instructions burned: 2 (million)
% 0.18/0.51 % (20848)------------------------------
% 0.18/0.51 % (20848)------------------------------
% 0.18/0.51 % (20849)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)
% 0.18/0.51 % (20852)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.51 % (20871)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)
% 0.18/0.51 % (20850)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 % (20872)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)
% 0.18/0.51 % (20860)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 % (20872)Refutation not found, incomplete strategy% (20872)------------------------------
% 0.18/0.52 % (20872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (20872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (20872)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52
% 0.18/0.52 % (20872)Memory used [KB]: 5884
% 0.18/0.52 % (20872)Time elapsed: 0.129 s
% 0.18/0.52 % (20872)Instructions burned: 1 (million)
% 0.18/0.52 % (20872)------------------------------
% 0.18/0.52 % (20872)------------------------------
% 0.18/0.52 % (20859)Instruction limit reached!
% 0.18/0.52 % (20859)------------------------------
% 0.18/0.52 % (20859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (20859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (20859)Termination reason: Unknown
% 0.18/0.52 % (20859)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (20859)Memory used [KB]: 5884
% 0.18/0.52 % (20859)Time elapsed: 0.129 s
% 0.18/0.52 % (20859)Instructions burned: 5 (million)
% 0.18/0.52 % (20859)------------------------------
% 0.18/0.52 % (20859)------------------------------
% 0.18/0.52 % (20858)First to succeed.
% 0.18/0.52 % (20861)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)
% 0.18/0.52 % (20860)Instruction limit reached!
% 0.18/0.52 % (20860)------------------------------
% 0.18/0.52 % (20860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (20860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (20860)Termination reason: Unknown
% 0.18/0.52 % (20860)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (20860)Memory used [KB]: 5884
% 0.18/0.52 % (20860)Time elapsed: 0.127 s
% 0.18/0.52 % (20860)Instructions burned: 4 (million)
% 0.18/0.52 % (20860)------------------------------
% 0.18/0.52 % (20860)------------------------------
% 0.18/0.52 % (20858)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (20858)------------------------------
% 0.18/0.52 % (20858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (20858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (20858)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (20858)Memory used [KB]: 5884
% 0.18/0.52 % (20858)Time elapsed: 0.128 s
% 0.18/0.52 % (20858)Instructions burned: 2 (million)
% 0.18/0.52 % (20858)------------------------------
% 0.18/0.52 % (20858)------------------------------
% 0.18/0.52 % (20846)Success in time 0.176 s
%------------------------------------------------------------------------------