TSTP Solution File: LCL025-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL025-1 : 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_sat --cores 0 -t %d %s

% Computer : n023.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 17:46:36 EDT 2022

% Result   : Unsatisfiable 1.61s 0.54s
% Output   : Refutation 1.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   29 (  18 unt;   0 def)
%            Number of atoms       :   44 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   34 (  19   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2258,plain,
    $false,
    inference(subsumption_resolution,[],[f2249,f892]) ).

fof(f892,plain,
    ! [X1] : ~ is_a_theorem(implies(implies(X1,sF0),sF3)),
    inference(resolution,[],[f803,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_2) ).

fof(f803,plain,
    ! [X1] :
      ( ~ is_a_theorem(implies(sF0,X1))
      | ~ is_a_theorem(implies(X1,sF3)) ),
    inference(subsumption_resolution,[],[f801,f11]) ).

fof(f11,plain,
    ~ is_a_theorem(sF4),
    inference(definition_folding,[],[f5,f10,f9,f8,f7,f6]) ).

fof(f6,plain,
    implies(a,b) = sF0,
    introduced(function_definition,[]) ).

fof(f7,plain,
    implies(b,c) = sF1,
    introduced(function_definition,[]) ).

fof(f8,plain,
    implies(a,c) = sF2,
    introduced(function_definition,[]) ).

fof(f9,plain,
    sF3 = implies(sF1,sF2),
    introduced(function_definition,[]) ).

fof(f10,plain,
    implies(sF0,sF3) = sF4,
    introduced(function_definition,[]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_1) ).

fof(f801,plain,
    ! [X1] :
      ( is_a_theorem(sF4)
      | ~ is_a_theorem(implies(sF0,X1))
      | ~ is_a_theorem(implies(X1,sF3)) ),
    inference(resolution,[],[f358,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f358,plain,
    ! [X0] :
      ( is_a_theorem(implies(implies(sF0,X0),sF4))
      | ~ is_a_theorem(implies(X0,sF3)) ),
    inference(resolution,[],[f193,f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X1,X0))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f1,f2]) ).

fof(f193,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(sF0,implies(X0,sF3)))
      | is_a_theorem(implies(implies(sF0,X0),sF4)) ),
    inference(resolution,[],[f72,f1]) ).

fof(f72,plain,
    ! [X3] : is_a_theorem(implies(implies(sF0,implies(X3,sF3)),implies(implies(sF0,X3),sF4))),
    inference(superposition,[],[f4,f10]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_6) ).

fof(f2249,plain,
    is_a_theorem(implies(implies(sF1,sF0),sF3)),
    inference(resolution,[],[f2226,f207]) ).

fof(f207,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(sF1,implies(X0,sF2)))
      | is_a_theorem(implies(implies(sF1,X0),sF3)) ),
    inference(resolution,[],[f73,f1]) ).

fof(f73,plain,
    ! [X4] : is_a_theorem(implies(implies(sF1,implies(X4,sF2)),implies(implies(sF1,X4),sF3))),
    inference(superposition,[],[f4,f9]) ).

fof(f2226,plain,
    is_a_theorem(implies(sF1,implies(sF0,sF2))),
    inference(resolution,[],[f989,f2]) ).

fof(f989,plain,
    ! [X57] :
      ( ~ is_a_theorem(implies(X57,implies(a,sF1)))
      | is_a_theorem(implies(X57,implies(sF0,sF2))) ),
    inference(resolution,[],[f372,f109]) ).

fof(f109,plain,
    is_a_theorem(implies(implies(a,sF1),implies(sF0,sF2))),
    inference(forward_demodulation,[],[f107,f6]) ).

fof(f107,plain,
    is_a_theorem(implies(implies(a,sF1),implies(implies(a,b),sF2))),
    inference(superposition,[],[f61,f8]) ).

fof(f61,plain,
    ! [X2] : is_a_theorem(implies(implies(X2,sF1),implies(implies(X2,b),implies(X2,c)))),
    inference(superposition,[],[f4,f7]) ).

fof(f372,plain,
    ! [X2,X3,X4] :
      ( ~ is_a_theorem(implies(X4,X3))
      | ~ is_a_theorem(implies(X2,X4))
      | is_a_theorem(implies(X2,X3)) ),
    inference(resolution,[],[f220,f17]) ).

fof(f220,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f58,f1]) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f4,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : LCL025-1 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31  % Computer : n023.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 01:50:35 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.15/0.42  % (19452)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.15/0.42  % (19444)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.15/0.46  % (19435)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.15/0.48  % (19442)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.15/0.49  % (19435)Instruction limit reached!
% 0.15/0.49  % (19435)------------------------------
% 0.15/0.49  % (19435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49  % (19435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (19435)Termination reason: Unknown
% 0.15/0.49  % (19435)Termination phase: Saturation
% 0.15/0.49  
% 0.15/0.49  % (19435)Memory used [KB]: 5500
% 0.15/0.49  % (19435)Time elapsed: 0.107 s
% 0.15/0.49  % (19435)Instructions burned: 8 (million)
% 0.15/0.49  % (19435)------------------------------
% 0.15/0.49  % (19435)------------------------------
% 0.15/0.49  % (19450)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.15/0.51  % (19429)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.15/0.51  % (19440)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.15/0.51  % (19429)Refutation not found, incomplete strategy% (19429)------------------------------
% 0.15/0.51  % (19429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51  % (19429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51  % (19429)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.51  
% 0.15/0.51  % (19429)Memory used [KB]: 5373
% 0.15/0.51  % (19429)Time elapsed: 0.148 s
% 0.15/0.51  % (19429)Instructions burned: 1 (million)
% 0.15/0.51  % (19429)------------------------------
% 0.15/0.51  % (19429)------------------------------
% 0.15/0.51  % (19439)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.15/0.51  % (19431)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.15/0.52  % (19432)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.15/0.52  % (19438)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.15/0.52  % (19443)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.15/0.52  % (19456)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.15/0.53  % (19433)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.15/0.53  % (19455)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 1.61/0.53  % (19444)Instruction limit reached!
% 1.61/0.53  % (19444)------------------------------
% 1.61/0.53  % (19444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.53  % (19446)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.61/0.53  % (19436)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.61/0.53  % (19436)Instruction limit reached!
% 1.61/0.53  % (19436)------------------------------
% 1.61/0.53  % (19436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.53  % (19436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.53  % (19436)Termination reason: Unknown
% 1.61/0.53  % (19436)Termination phase: Saturation
% 1.61/0.53  
% 1.61/0.53  % (19436)Memory used [KB]: 5373
% 1.61/0.53  % (19436)Time elapsed: 0.173 s
% 1.61/0.53  % (19436)Instructions burned: 2 (million)
% 1.61/0.53  % (19436)------------------------------
% 1.61/0.53  % (19436)------------------------------
% 1.61/0.53  % (19444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.53  % (19444)Termination reason: Unknown
% 1.61/0.53  % (19444)Termination phase: Saturation
% 1.61/0.53  
% 1.61/0.53  % (19444)Memory used [KB]: 6396
% 1.61/0.53  % (19444)Time elapsed: 0.170 s
% 1.61/0.53  % (19444)Instructions burned: 99 (million)
% 1.61/0.53  % (19444)------------------------------
% 1.61/0.53  % (19444)------------------------------
% 1.61/0.54  % (19451)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 1.61/0.54  % (19445)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.61/0.54  TRYING [1]
% 1.61/0.54  TRYING [2]
% 1.61/0.54  % (19452)First to succeed.
% 1.61/0.54  TRYING [3]
% 1.61/0.54  % (19452)Refutation found. Thanks to Tanya!
% 1.61/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.61/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.54  % (19452)------------------------------
% 1.61/0.54  % (19452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.54  % (19452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.54  % (19452)Termination reason: Refutation
% 1.61/0.54  
% 1.61/0.54  % (19452)Memory used [KB]: 6908
% 1.61/0.54  % (19452)Time elapsed: 0.164 s
% 1.61/0.54  % (19452)Instructions burned: 85 (million)
% 1.61/0.54  % (19452)------------------------------
% 1.61/0.54  % (19452)------------------------------
% 1.61/0.54  % (19427)Success in time 0.227 s
%------------------------------------------------------------------------------