TSTP Solution File: LCL086-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL086-1 : 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 : n024.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 17:38:48 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 5 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 108 ( 52 ~; 51 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f122,plain,
$false,
inference(avatar_sat_refutation,[],[f12,f45,f50,f78,f97,f120]) ).
fof(f120,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f102]) ).
fof(f102,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f96,f3]) ).
fof(f3,axiom,
~ is_a_theorem(implies(a,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_1) ).
fof(f96,plain,
( ! [X32] : is_a_theorem(implies(X32,X32))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl0_5
<=> ! [X32] : is_a_theorem(implies(X32,X32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f97,plain,
( spl0_1
| spl0_5
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f92,f76,f43,f10,f95,f7]) ).
fof(f7,plain,
( spl0_1
<=> ! [X4] : ~ is_a_theorem(X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f10,plain,
( spl0_2
<=> ! [X0,X3,X2,X1] :
( is_a_theorem(implies(implies(X3,X0),implies(X2,X0)))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f43,plain,
( spl0_3
<=> ! [X2,X1] : is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f76,plain,
( spl0_4
<=> ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f92,plain,
( ! [X31,X32] :
( is_a_theorem(implies(X32,X32))
| ~ is_a_theorem(X31) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f77,f52]) ).
fof(f52,plain,
( ! [X6,X7,X4,X5] :
( ~ is_a_theorem(implies(implies(implies(X4,X5),X6),implies(X7,implies(implies(X5,X4),X5))))
| ~ is_a_theorem(X7)
| is_a_theorem(implies(X4,X5)) )
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f44,f21]) ).
fof(f21,plain,
( ! [X18,X19,X16,X14,X17,X15] :
( ~ is_a_theorem(implies(implies(X15,X19),implies(X14,X18)))
| ~ is_a_theorem(implies(implies(implies(X14,X15),X16),implies(X17,implies(X18,X15))))
| ~ is_a_theorem(X17)
| is_a_theorem(implies(X14,X15)) )
| ~ spl0_2 ),
inference(resolution,[],[f15,f11]) ).
fof(f11,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X3,X0),implies(X2,X0)))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f15,plain,
( ! [X2,X3,X4,X5] :
( ~ is_a_theorem(implies(X5,X2))
| ~ is_a_theorem(implies(implies(X2,X3),implies(X4,X5)))
| ~ is_a_theorem(X4)
| is_a_theorem(X2) )
| ~ spl0_2 ),
inference(resolution,[],[f13,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f13,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))
| ~ is_a_theorem(implies(X3,X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f11,f1]) ).
fof(f44,plain,
( ! [X2,X1] : is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2))))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f77,plain,
( ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X1)))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f78,plain,
( spl0_1
| spl0_4
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f70,f43,f10,f76,f7]) ).
fof(f70,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(X0) )
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f52,f2]) ).
fof(f2,axiom,
! [X2,X3,X6,X4,X5] : is_a_theorem(implies(implies(implies(X2,X3),implies(X4,X5)),implies(X6,implies(implies(X5,X2),implies(X4,X2))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4) ).
fof(f50,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f46]) ).
fof(f46,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f8,f2]) ).
fof(f8,plain,
( ! [X4] : ~ is_a_theorem(X4)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f7]) ).
fof(f45,plain,
( spl0_1
| spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f38,f10,f43,f7]) ).
fof(f38,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2))))
| ~ is_a_theorem(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f29,f2]) ).
fof(f29,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(implies(implies(X5,X1),implies(X6,X1)),implies(X1,X2)))))
| ~ is_a_theorem(X4)
| is_a_theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_2 ),
inference(resolution,[],[f21,f2]) ).
fof(f12,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f10,f7]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(X3,X0),implies(X2,X0)))
| ~ is_a_theorem(X4)
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(resolution,[],[f4,f1]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(X4,implies(implies(X3,X0),implies(X2,X0))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(resolution,[],[f2,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL086-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % 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 : n024.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 01:36:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (8815)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)
% 0.19/0.51 % (8810)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 % (8819)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)
% 0.19/0.51 % (8814)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 % (8811)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52 % (8808)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 % (8811)First to succeed.
% 0.19/0.52 % (8833)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 % (8814)Instruction limit reached!
% 0.19/0.52 % (8814)------------------------------
% 0.19/0.52 % (8814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8814)Termination reason: Unknown
% 0.19/0.52 % (8814)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (8814)Memory used [KB]: 5884
% 0.19/0.52 % (8814)Time elapsed: 0.114 s
% 0.19/0.52 % (8814)Instructions burned: 4 (million)
% 0.19/0.52 % (8814)------------------------------
% 0.19/0.52 % (8814)------------------------------
% 0.19/0.52 % (8819)Instruction limit reached!
% 0.19/0.52 % (8819)------------------------------
% 0.19/0.52 % (8819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8833)Refutation not found, incomplete strategy% (8833)------------------------------
% 0.19/0.52 % (8833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8833)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (8833)Memory used [KB]: 1279
% 0.19/0.52 % (8833)Time elapsed: 0.120 s
% 0.19/0.52 % (8833)Instructions burned: 1 (million)
% 0.19/0.52 % (8833)------------------------------
% 0.19/0.52 % (8833)------------------------------
% 0.19/0.52 % (8811)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (8811)------------------------------
% 0.19/0.52 % (8811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (8811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (8811)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (8811)Memory used [KB]: 5884
% 0.19/0.52 % (8811)Time elapsed: 0.113 s
% 0.19/0.52 % (8811)Instructions burned: 9 (million)
% 0.19/0.52 % (8811)------------------------------
% 0.19/0.52 % (8811)------------------------------
% 0.19/0.52 % (8801)Success in time 0.169 s
%------------------------------------------------------------------------------