TSTP Solution File: REL009-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : REL009-1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n007.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 18:12:32 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 14 unt; 0 def)
% Number of atoms : 56 ( 30 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 40 ( 19 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f73,plain,
$false,
inference(avatar_sat_refutation,[],[f25,f32,f68]) ).
fof(f68,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f67]) ).
fof(f67,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f66,f53]) ).
fof(f53,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f10,f8]) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f66,plain,
( converse(composition(converse(sk2),converse(sk3))) != composition(converse(converse(sk3)),sk2)
| spl0_2 ),
inference(forward_demodulation,[],[f65,f14]) ).
fof(f14,axiom,
sk2 = join(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f65,plain,
( converse(composition(converse(sk2),converse(sk3))) != composition(converse(converse(sk3)),join(sk1,sk2))
| spl0_2 ),
inference(forward_demodulation,[],[f64,f8]) ).
fof(f64,plain,
( converse(composition(converse(sk2),converse(sk3))) != composition(converse(converse(sk3)),join(sk1,converse(converse(sk2))))
| spl0_2 ),
inference(forward_demodulation,[],[f63,f8]) ).
fof(f63,plain,
( converse(composition(converse(sk2),converse(sk3))) != composition(converse(converse(sk3)),converse(converse(join(sk1,converse(converse(sk2))))))
| spl0_2 ),
inference(forward_demodulation,[],[f62,f36]) ).
fof(f36,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f9,f8]) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f62,plain,
( converse(composition(converse(sk2),converse(sk3))) != composition(converse(converse(sk3)),converse(join(converse(sk1),converse(sk2))))
| spl0_2 ),
inference(forward_demodulation,[],[f61,f10]) ).
fof(f61,plain,
( converse(composition(converse(sk2),converse(sk3))) != converse(composition(join(converse(sk1),converse(sk2)),converse(sk3)))
| spl0_2 ),
inference(forward_demodulation,[],[f60,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f60,plain,
( converse(composition(converse(sk2),converse(sk3))) != converse(join(composition(converse(sk1),converse(sk3)),composition(converse(sk2),converse(sk3))))
| spl0_2 ),
inference(forward_demodulation,[],[f59,f41]) ).
fof(f41,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(forward_demodulation,[],[f39,f9]) ).
fof(f39,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(superposition,[],[f1,f9]) ).
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f59,plain,
( converse(composition(converse(sk2),converse(sk3))) != converse(join(composition(converse(sk2),converse(sk3)),composition(converse(sk1),converse(sk3))))
| spl0_2 ),
inference(forward_demodulation,[],[f58,f10]) ).
fof(f58,plain,
( converse(composition(converse(sk2),converse(sk3))) != converse(join(composition(converse(sk2),converse(sk3)),converse(composition(sk3,sk1))))
| spl0_2 ),
inference(forward_demodulation,[],[f57,f36]) ).
fof(f57,plain,
( converse(composition(converse(sk2),converse(sk3))) != join(converse(composition(converse(sk2),converse(sk3))),composition(sk3,sk1))
| spl0_2 ),
inference(forward_demodulation,[],[f56,f1]) ).
fof(f56,plain,
( converse(composition(converse(sk2),converse(sk3))) != join(composition(sk3,sk1),converse(composition(converse(sk2),converse(sk3))))
| spl0_2 ),
inference(backward_demodulation,[],[f24,f55]) ).
fof(f55,plain,
! [X0,X1] : composition(X0,X1) = converse(composition(converse(X1),converse(X0))),
inference(superposition,[],[f8,f10]) ).
fof(f24,plain,
( composition(sk3,sk2) != join(composition(sk3,sk1),composition(sk3,sk2))
| spl0_2 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f22,plain,
( spl0_2
<=> composition(sk3,sk2) = join(composition(sk3,sk1),composition(sk3,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f32,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f31]) ).
fof(f31,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f30]) ).
fof(f30,plain,
( composition(sk2,sk3) != composition(sk2,sk3)
| spl0_1 ),
inference(forward_demodulation,[],[f29,f14]) ).
fof(f29,plain,
( composition(sk2,sk3) != composition(join(sk1,sk2),sk3)
| spl0_1 ),
inference(forward_demodulation,[],[f20,f7]) ).
fof(f20,plain,
( composition(sk2,sk3) != join(composition(sk1,sk3),composition(sk2,sk3))
| spl0_1 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f18,plain,
( spl0_1
<=> composition(sk2,sk3) = join(composition(sk1,sk3),composition(sk2,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f25,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f15,f22,f18]) ).
fof(f15,axiom,
( composition(sk3,sk2) != join(composition(sk3,sk1),composition(sk3,sk2))
| composition(sk2,sk3) != join(composition(sk1,sk3),composition(sk2,sk3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : REL009-1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n007.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 10:53:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 % (31321)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)
% 0.19/0.46 % (31313)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.46 % (31313)Instruction limit reached!
% 0.19/0.46 % (31313)------------------------------
% 0.19/0.46 % (31313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (31321)Instruction limit reached!
% 0.19/0.47 % (31321)------------------------------
% 0.19/0.47 % (31321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (31313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (31313)Termination reason: Unknown
% 0.19/0.47 % (31313)Termination phase: Saturation
% 0.19/0.47
% 0.19/0.47 % (31313)Memory used [KB]: 1407
% 0.19/0.47 % (31313)Time elapsed: 0.064 s
% 0.19/0.47 % (31313)Instructions burned: 6 (million)
% 0.19/0.47 % (31313)------------------------------
% 0.19/0.47 % (31313)------------------------------
% 0.19/0.47 % (31321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (31321)Termination reason: Unknown
% 0.19/0.47 % (31321)Termination phase: Saturation
% 0.19/0.47
% 0.19/0.47 % (31321)Memory used [KB]: 6140
% 0.19/0.47 % (31321)Time elapsed: 0.070 s
% 0.19/0.47 % (31321)Instructions burned: 20 (million)
% 0.19/0.47 % (31321)------------------------------
% 0.19/0.47 % (31321)------------------------------
% 0.19/0.50 % (31297)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)
% 0.19/0.51 % (31312)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)
% 0.19/0.51 % (31315)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)
% 0.19/0.51 % (31305)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)
% 0.19/0.51 % (31307)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)
% 0.19/0.51 % (31301)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)
% 0.19/0.51 % (31301)Instruction limit reached!
% 0.19/0.51 % (31301)------------------------------
% 0.19/0.51 % (31301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (31301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (31301)Termination reason: Unknown
% 0.19/0.51 % (31301)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (31301)Memory used [KB]: 5756
% 0.19/0.51 % (31301)Time elapsed: 0.123 s
% 0.19/0.51 % (31301)Instructions burned: 3 (million)
% 0.19/0.51 % (31301)------------------------------
% 0.19/0.51 % (31301)------------------------------
% 0.19/0.52 % (31320)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)
% 0.19/0.52 % (31295)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)
% 0.19/0.52 % (31296)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)
% 0.19/0.52 % (31295)Instruction limit reached!
% 0.19/0.52 % (31295)------------------------------
% 0.19/0.52 % (31295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (31295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (31295)Termination reason: Unknown
% 0.19/0.52 % (31295)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (31295)Memory used [KB]: 5884
% 0.19/0.52 % (31295)Time elapsed: 0.126 s
% 0.19/0.52 % (31295)Instructions burned: 4 (million)
% 0.19/0.52 % (31295)------------------------------
% 0.19/0.52 % (31295)------------------------------
% 0.19/0.52 % (31293)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.52 % (31303)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)
% 0.19/0.52 % (31317)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)
% 0.19/0.52 % (31322)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)
% 0.19/0.52 % (31299)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)
% 0.19/0.52 % (31300)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)
% 0.19/0.52 % (31303)Instruction limit reached!
% 0.19/0.52 % (31303)------------------------------
% 0.19/0.52 % (31303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (31303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (31303)Termination reason: Unknown
% 0.19/0.52 % (31303)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (31303)Memory used [KB]: 5884
% 0.19/0.52 % (31303)Time elapsed: 0.127 s
% 0.19/0.52 % (31303)Instructions burned: 6 (million)
% 0.19/0.52 % (31303)------------------------------
% 0.19/0.52 % (31303)------------------------------
% 0.19/0.52 % (31298)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (31302)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (31311)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)
% 0.19/0.53 % (31318)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)
% 0.19/0.53 % (31309)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)
% 0.19/0.53 % (31294)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)
% 0.19/0.53 % (31312)Instruction limit reached!
% 0.19/0.53 % (31312)------------------------------
% 0.19/0.53 % (31312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (31312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (31312)Termination reason: Unknown
% 0.19/0.53 % (31312)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (31312)Memory used [KB]: 5884
% 0.19/0.53 % (31312)Time elapsed: 0.146 s
% 0.19/0.53 % (31312)Instructions burned: 7 (million)
% 0.19/0.53 % (31312)------------------------------
% 0.19/0.53 % (31312)------------------------------
% 0.19/0.53 % (31316)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)
% 0.19/0.53 % (31316)Refutation not found, incomplete strategy% (31316)------------------------------
% 0.19/0.53 % (31316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (31316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (31316)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (31316)Memory used [KB]: 5756
% 0.19/0.53 % (31316)Time elapsed: 0.139 s
% 0.19/0.53 % (31316)------------------------------
% 0.19/0.53 % (31316)------------------------------
% 0.19/0.53 % (31305)First to succeed.
% 0.19/0.53 % (31314)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 % (31304)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)
% 0.19/0.53 % (31310)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53 % (31305)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (31305)------------------------------
% 0.19/0.53 % (31305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (31305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (31305)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (31305)Memory used [KB]: 5884
% 0.19/0.53 % (31305)Time elapsed: 0.145 s
% 0.19/0.53 % (31305)Instructions burned: 2 (million)
% 0.19/0.53 % (31305)------------------------------
% 0.19/0.53 % (31305)------------------------------
% 0.19/0.53 % (31292)Success in time 0.189 s
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