TSTP Solution File: LCL082-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL082-1 : 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 : n015.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 17:38:46 EDT 2022
% Result : Unsatisfiable 1.54s 0.57s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 6 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 24 ~; 21 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f113,plain,
$false,
inference(avatar_sat_refutation,[],[f32,f73,f92,f112]) ).
fof(f112,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f111]) ).
fof(f111,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f91,f3]) ).
fof(f3,axiom,
~ is_a_theorem(implies(a,implies(b,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_2) ).
fof(f91,plain,
( ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X1)))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl0_5
<=> ! [X2,X1] : is_a_theorem(implies(X1,implies(X2,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f92,plain,
( spl0_2
| spl0_5
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f81,f71,f90,f25]) ).
fof(f25,plain,
( spl0_2
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f71,plain,
( spl0_4
<=> ! [X2,X1,X3] : is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f81,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(X0) )
| ~ spl0_4 ),
inference(resolution,[],[f74,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(f74,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))
| ~ spl0_4 ),
inference(resolution,[],[f72,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X3,X1),implies(X4,X1)),implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f5,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz) ).
fof(f5,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X3,X0))
| ~ is_a_theorem(implies(X2,X0)) ),
inference(resolution,[],[f4,f1]) ).
fof(f4,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X3,X0)))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f2,f1]) ).
fof(f72,plain,
( ! [X2,X3,X1] : is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f73,plain,
( spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f61,f71,f25]) ).
fof(f61,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f59,f1]) ).
fof(f59,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
inference(resolution,[],[f8,f2]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X4,implies(X2,X5)),implies(implies(X1,X2),implies(X3,X2))))
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2)))) ),
inference(resolution,[],[f7,f2]) ).
fof(f7,plain,
! [X8,X6,X9,X7,X5] :
( ~ is_a_theorem(implies(implies(X8,X9),X6))
| is_a_theorem(implies(X5,X6))
| ~ is_a_theorem(implies(implies(X7,X8),X6)) ),
inference(resolution,[],[f5,f4]) ).
fof(f32,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f28]) ).
fof(f28,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f26,f2]) ).
fof(f26,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL082-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 01:45:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.40/0.55 % (13947)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)
% 1.40/0.55 % (13946)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)
% 1.40/0.55 % (13945)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)
% 1.40/0.56 % (13963)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)
% 1.40/0.56 % (13962)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)
% 1.54/0.56 % (13947)Instruction limit reached!
% 1.54/0.56 % (13947)------------------------------
% 1.54/0.56 % (13947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (13955)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)
% 1.54/0.56 % (13947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (13947)Termination reason: Unknown
% 1.54/0.56 % (13947)Termination phase: Saturation
% 1.54/0.56
% 1.54/0.56 % (13947)Memory used [KB]: 5884
% 1.54/0.56 % (13947)Time elapsed: 0.126 s
% 1.54/0.56 % (13947)Instructions burned: 3 (million)
% 1.54/0.56 % (13947)------------------------------
% 1.54/0.56 % (13947)------------------------------
% 1.54/0.56 % (13954)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.54/0.56 % (13946)Refutation not found, incomplete strategy% (13946)------------------------------
% 1.54/0.56 % (13946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (13946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (13946)Termination reason: Refutation not found, incomplete strategy
% 1.54/0.56
% 1.54/0.56 % (13946)Memory used [KB]: 5756
% 1.54/0.56 % (13946)Time elapsed: 0.134 s
% 1.54/0.56 % (13946)Instructions burned: 2 (million)
% 1.54/0.56 % (13946)------------------------------
% 1.54/0.56 % (13946)------------------------------
% 1.54/0.56 % (13955)Instruction limit reached!
% 1.54/0.56 % (13955)------------------------------
% 1.54/0.56 % (13955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (13955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (13955)Termination reason: Unknown
% 1.54/0.56 % (13955)Termination phase: Saturation
% 1.54/0.56
% 1.54/0.56 % (13955)Memory used [KB]: 5756
% 1.54/0.56 % (13955)Time elapsed: 0.138 s
% 1.54/0.56 % (13955)Instructions burned: 3 (million)
% 1.54/0.56 % (13955)------------------------------
% 1.54/0.56 % (13955)------------------------------
% 1.54/0.57 TRYING [1]
% 1.54/0.57 TRYING [2]
% 1.54/0.57 % (13963)First to succeed.
% 1.54/0.57 % (13961)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)
% 1.54/0.57 % (13963)Refutation found. Thanks to Tanya!
% 1.54/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.54/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.57 % (13963)------------------------------
% 1.54/0.57 % (13963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57 % (13963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57 % (13963)Termination reason: Refutation
% 1.54/0.57
% 1.54/0.57 % (13963)Memory used [KB]: 5884
% 1.54/0.57 % (13963)Time elapsed: 0.140 s
% 1.54/0.57 % (13963)Instructions burned: 6 (million)
% 1.54/0.57 % (13963)------------------------------
% 1.54/0.57 % (13963)------------------------------
% 1.54/0.57 % (13938)Success in time 0.215 s
%------------------------------------------------------------------------------