TSTP Solution File: GRP008-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP008-1 : 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 : n028.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 16:13:41 EDT 2022
% Result : Unsatisfiable 1.28s 0.53s
% Output : Refutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 4 unt; 0 def)
% Number of atoms : 60 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 59 ( 27 ~; 30 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97,plain,
$false,
inference(avatar_sat_refutation,[],[f37,f62,f84,f95]) ).
fof(f95,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f94]) ).
fof(f94,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f92,f2]) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f92,plain,
( ~ product(j(identity),identity,j(identity))
| ~ spl0_1
| spl0_2 ),
inference(backward_demodulation,[],[f35,f85]) ).
fof(f85,plain,
( j(identity) = h(identity)
| ~ spl0_1 ),
inference(resolution,[],[f32,f18]) ).
fof(f18,plain,
! [X0,X1] :
( ~ product(identity,X1,X0)
| X0 = X1 ),
inference(resolution,[],[f6,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| X2 = X3
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).
fof(f32,plain,
( product(identity,j(identity),h(identity))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl0_1
<=> product(identity,j(identity),h(identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f35,plain,
( ~ product(j(identity),identity,h(identity))
| spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl0_2
<=> product(j(identity),identity,h(identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f84,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f83]) ).
fof(f83,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f78,f1]) ).
fof(f78,plain,
( ~ product(identity,j(identity),j(identity))
| spl0_1
| ~ spl0_2 ),
inference(backward_demodulation,[],[f31,f77]) ).
fof(f77,plain,
( j(identity) = h(identity)
| ~ spl0_2 ),
inference(resolution,[],[f19,f36]) ).
fof(f36,plain,
( product(j(identity),identity,h(identity))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f19,plain,
! [X2,X3] :
( ~ product(X3,identity,X2)
| X2 = X3 ),
inference(resolution,[],[f6,f2]) ).
fof(f31,plain,
( ~ product(identity,j(identity),h(identity))
| spl0_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f62,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f61,f34,f30]) ).
fof(f61,plain,
( ~ product(identity,j(identity),h(identity))
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f51,f12]) ).
fof(f12,axiom,
~ q(identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_identity_is_q) ).
fof(f51,plain,
( ~ product(identity,j(identity),h(identity))
| q(identity)
| ~ spl0_2 ),
inference(resolution,[],[f36,f11]) ).
fof(f11,axiom,
! [X6] :
( ~ product(j(X6),X6,h(X6))
| ~ product(X6,j(X6),h(X6))
| q(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown_meaning4) ).
fof(f37,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f27,f34,f30]) ).
fof(f27,plain,
( product(j(identity),identity,h(identity))
| product(identity,j(identity),h(identity)) ),
inference(resolution,[],[f10,f12]) ).
fof(f10,axiom,
! [X6] :
( q(X6)
| product(X6,j(X6),h(X6))
| product(j(X6),X6,h(X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown_meaning3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % 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 : n028.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:16:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.28/0.51 % (671)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)
% 1.28/0.51 % (682)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)
% 1.28/0.52 % (641)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)
% 1.28/0.52 % (673)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)
% 1.28/0.52 % (650)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)
% 1.28/0.52 % (671)First to succeed.
% 1.28/0.52 % (650)Refutation not found, incomplete strategy% (650)------------------------------
% 1.28/0.52 % (650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (650)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.52
% 1.28/0.52 % (650)Memory used [KB]: 5756
% 1.28/0.52 % (650)Time elapsed: 0.123 s
% 1.28/0.52 % (650)Instructions burned: 1 (million)
% 1.28/0.52 % (650)------------------------------
% 1.28/0.52 % (650)------------------------------
% 1.28/0.52 % (641)Refutation not found, incomplete strategy% (641)------------------------------
% 1.28/0.52 % (641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (641)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.52
% 1.28/0.52 % (641)Memory used [KB]: 5756
% 1.28/0.52 % (641)Time elapsed: 0.124 s
% 1.28/0.52 % (641)Instructions burned: 1 (million)
% 1.28/0.52 % (641)------------------------------
% 1.28/0.52 % (641)------------------------------
% 1.28/0.52 % (639)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.28/0.52 % (646)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)
% 1.28/0.52 % (682)Refutation not found, incomplete strategy% (682)------------------------------
% 1.28/0.52 % (682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (682)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.52
% 1.28/0.52 % (682)Memory used [KB]: 5756
% 1.28/0.52 % (682)Time elapsed: 0.077 s
% 1.28/0.52 % (682)------------------------------
% 1.28/0.52 % (682)------------------------------
% 1.28/0.52 % (685)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)
% 1.28/0.52 % (680)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)
% 1.28/0.52 % (685)Refutation not found, incomplete strategy% (685)------------------------------
% 1.28/0.52 % (685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (685)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.52
% 1.28/0.52 % (685)Memory used [KB]: 5756
% 1.28/0.52 % (685)Time elapsed: 0.001 s
% 1.28/0.52 % (685)------------------------------
% 1.28/0.52 % (685)------------------------------
% 1.28/0.52 % (644)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)
% 1.28/0.52 % (645)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.28/0.52 % (644)Refutation not found, incomplete strategy% (644)------------------------------
% 1.28/0.52 % (644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (644)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.52
% 1.28/0.52 % (644)Memory used [KB]: 5756
% 1.28/0.52 % (644)Time elapsed: 0.135 s
% 1.28/0.52 % (644)------------------------------
% 1.28/0.52 % (644)------------------------------
% 1.28/0.52 % (642)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)
% 1.28/0.52 % (688)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)
% 1.28/0.52 % (642)Refutation not found, incomplete strategy% (642)------------------------------
% 1.28/0.52 % (642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52 % (642)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.52
% 1.28/0.52 % (640)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)
% 1.28/0.53 % (671)Refutation found. Thanks to Tanya!
% 1.28/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.28/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.28/0.53 % (671)------------------------------
% 1.28/0.53 % (671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (671)Termination reason: Refutation
% 1.28/0.53
% 1.28/0.53 % (671)Memory used [KB]: 5884
% 1.28/0.53 % (671)Time elapsed: 0.119 s
% 1.28/0.53 % (671)Instructions burned: 4 (million)
% 1.28/0.53 % (671)------------------------------
% 1.28/0.53 % (671)------------------------------
% 1.28/0.53 % (638)Success in time 0.179 s
%------------------------------------------------------------------------------