TSTP Solution File: LCL107-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL107-1 : 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 : n014.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 17:46:53 EDT 2022

% Result   : Unsatisfiable 1.66s 0.61s
% Output   : Refutation 1.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   7   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   67 (  67   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1636,plain,
    $false,
    inference(resolution,[],[f833,f3]) ).

fof(f3,axiom,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p_1) ).

fof(f833,plain,
    ! [X120,X118,X121,X119] : is_a_theorem(equivalent(equivalent(equivalent(X118,X119),X120),equivalent(equivalent(X121,X119),equivalent(equivalent(X118,X121),X120)))),
    inference(resolution,[],[f180,f99]) ).

fof(f99,plain,
    ! [X6,X7,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7))),
    inference(resolution,[],[f23,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X4),equivalent(equivalent(equivalent(X5,X4),equivalent(X5,X3)),X6))),equivalent(X2,equivalent(equivalent(X1,X0),X6)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_27_1690) ).

fof(f23,plain,
    ! [X21,X18,X19,X16,X17,X15,X22,X20] :
      ( ~ is_a_theorem(equivalent(equivalent(equivalent(X15,equivalent(equivalent(X16,X17),equivalent(X16,X18))),equivalent(X15,equivalent(X17,X18))),equivalent(equivalent(equivalent(X19,X20),equivalent(X19,X21)),X22)))
      | is_a_theorem(equivalent(equivalent(X20,X21),X22)) ),
    inference(resolution,[],[f10,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(equivalent(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f10,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X2,X3))),equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7)),equivalent(equivalent(X5,X6),X7))),
    inference(resolution,[],[f9,f2]) ).

fof(f9,plain,
    ! [X10,X11,X9,X16,X14,X15,X12,X13] :
      ( ~ is_a_theorem(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),equivalent(equivalent(equivalent(X12,equivalent(equivalent(X13,X14),equivalent(X13,X15))),equivalent(X12,equivalent(X14,X15))),X16)))
      | is_a_theorem(equivalent(equivalent(X10,X11),X16)) ),
    inference(resolution,[],[f6,f1]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(equivalent(X3,equivalent(equivalent(X4,X5),equivalent(X4,X6))),equivalent(X3,equivalent(X5,X6))),X7)),equivalent(equivalent(X1,X2),X7))),
    inference(resolution,[],[f5,f4]) ).

fof(f4,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X4),equivalent(equivalent(equivalent(X5,X4),equivalent(X5,X3)),X6))))
      | is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X0),X6))) ),
    inference(resolution,[],[f2,f1]) ).

fof(f5,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X1),equivalent(X2,X0)),X3)),equivalent(equivalent(equivalent(X4,X5),equivalent(equivalent(X6,X4),equivalent(X6,X5))),X3))),
    inference(resolution,[],[f4,f2]) ).

fof(f180,plain,
    ! [X31,X28,X29,X30] :
      ( ~ is_a_theorem(equivalent(equivalent(equivalent(X28,X29),equivalent(X28,X30)),X31))
      | is_a_theorem(equivalent(equivalent(X29,X30),X31)) ),
    inference(resolution,[],[f99,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : LCL107-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n014.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 01:37:03 EDT 2022
% 0.20/0.35  % CPUTime    : 
% 0.20/0.49  % (2221)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 (2999ds/498Mi)
% 0.20/0.49  % (2213)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 (2999ds/68Mi)
% 0.20/0.54  % (2207)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (2207)Instruction limit reached!
% 0.20/0.54  % (2207)------------------------------
% 0.20/0.54  % (2207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (2207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (2207)Termination reason: Unknown
% 0.20/0.54  % (2207)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (2207)Memory used [KB]: 5373
% 0.20/0.54  % (2207)Time elapsed: 0.104 s
% 0.20/0.54  % (2207)Instructions burned: 2 (million)
% 0.20/0.54  % (2207)------------------------------
% 0.20/0.54  % (2207)------------------------------
% 0.20/0.56  % (2223)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56  % (2215)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 (2999ds/99Mi)
% 0.20/0.58  % (2213)Instruction limit reached!
% 0.20/0.58  % (2213)------------------------------
% 0.20/0.58  % (2213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (2213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (2213)Termination reason: Unknown
% 0.20/0.58  % (2213)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (2213)Memory used [KB]: 6652
% 0.20/0.58  % (2213)Time elapsed: 0.064 s
% 0.20/0.58  % (2213)Instructions burned: 68 (million)
% 0.20/0.58  % (2213)------------------------------
% 0.20/0.58  % (2213)------------------------------
% 0.20/0.60  % (2219)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.60  % (2198)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.60  % (2198)Refutation not found, incomplete strategy% (2198)------------------------------
% 0.20/0.60  % (2198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (2198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (2198)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.60  
% 0.20/0.60  % (2198)Memory used [KB]: 5373
% 0.20/0.60  % (2198)Time elapsed: 0.166 s
% 0.20/0.60  % (2198)------------------------------
% 0.20/0.60  % (2198)------------------------------
% 1.66/0.60  % (2209)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.66/0.60  % (2228)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.66/0.60  % (2201)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.66/0.60  % (2227)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.66/0.60  % (2214)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 (2999ds/75Mi)
% 1.66/0.61  % (2221)First to succeed.
% 1.66/0.61  % (2203)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 (2999ds/48Mi)
% 1.66/0.61  % (2221)Refutation found. Thanks to Tanya!
% 1.66/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.66/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.66/0.61  % (2221)------------------------------
% 1.66/0.61  % (2221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.61  % (2221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.61  % (2221)Termination reason: Refutation
% 1.66/0.61  
% 1.66/0.61  % (2221)Memory used [KB]: 2174
% 1.66/0.61  % (2221)Time elapsed: 0.172 s
% 1.66/0.61  % (2221)Instructions burned: 100 (million)
% 1.66/0.61  % (2221)------------------------------
% 1.66/0.61  % (2221)------------------------------
% 1.66/0.61  % (2196)Success in time 0.246 s
%------------------------------------------------------------------------------