TSTP Solution File: LCL082-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n021.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 17:46:48 EDT 2022

% Result   : Unsatisfiable 1.44s 0.70s
% Output   : Refutation 1.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (  11 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   8   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   54 (  54   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f222,plain,
    $false,
    inference(resolution,[],[f203,f3]) ).

fof(f3,axiom,
    ~ is_a_theorem(implies(a,implies(b,a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_2) ).

fof(f203,plain,
    ! [X22,X23] : is_a_theorem(implies(X22,implies(X23,X22))),
    inference(resolution,[],[f184,f172]) ).

fof(f172,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
    inference(resolution,[],[f94,f7]) ).

fof(f7,plain,
    ! [X10,X8,X6,X9,X7] :
      ( ~ is_a_theorem(implies(implies(implies(X9,X7),implies(X10,X7)),implies(X7,X8)))
      | is_a_theorem(implies(X6,implies(X7,X8))) ),
    inference(resolution,[],[f5,f1]) ).

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

fof(f5,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
    inference(resolution,[],[f4,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/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz) ).

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

fof(f94,plain,
    ! [X2,X3,X4] : is_a_theorem(implies(implies(implies(X2,X2),X3),implies(X4,X3))),
    inference(resolution,[],[f56,f4]) ).

fof(f56,plain,
    ! [X10,X11] : is_a_theorem(implies(implies(X10,X11),implies(X11,X11))),
    inference(resolution,[],[f46,f8]) ).

fof(f8,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2))))),
    inference(resolution,[],[f7,f5]) ).

fof(f46,plain,
    ! [X3,X4,X5] :
      ( ~ is_a_theorem(X5)
      | is_a_theorem(implies(implies(X3,X4),implies(X4,X4))) ),
    inference(resolution,[],[f43,f1]) ).

fof(f43,plain,
    ! [X14,X12,X13] : is_a_theorem(implies(X12,implies(implies(X13,X14),implies(X14,X14)))),
    inference(resolution,[],[f11,f5]) ).

fof(f11,plain,
    ! [X10,X11,X14,X15,X12,X13] :
      ( ~ is_a_theorem(implies(implies(X14,implies(X12,X15)),implies(implies(X11,X12),implies(X13,X12))))
      | is_a_theorem(implies(X10,implies(implies(X11,X12),implies(X13,X12)))) ),
    inference(resolution,[],[f6,f1]) ).

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

fof(f184,plain,
    ! [X6,X7,X5] :
      ( ~ is_a_theorem(X7)
      | is_a_theorem(implies(X5,implies(X6,X5))) ),
    inference(resolution,[],[f172,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem    : LCL082-1 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % 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   : Tue Aug 30 01:30:55 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.12/0.35  ipcrm: permission denied for id (683671552)
% 0.12/0.36  ipcrm: permission denied for id (683704328)
% 0.12/0.36  ipcrm: permission denied for id (683737098)
% 0.12/0.39  ipcrm: permission denied for id (683802659)
% 0.19/0.41  ipcrm: permission denied for id (683868207)
% 0.19/0.41  ipcrm: permission denied for id (683900978)
% 0.19/0.41  ipcrm: permission denied for id (683933748)
% 0.19/0.41  ipcrm: permission denied for id (683966519)
% 0.19/0.42  ipcrm: permission denied for id (683999291)
% 0.19/0.43  ipcrm: permission denied for id (684064833)
% 0.19/0.44  ipcrm: permission denied for id (684195918)
% 0.19/0.46  ipcrm: permission denied for id (684261477)
% 0.19/0.47  ipcrm: permission denied for id (684327025)
% 0.19/0.48  ipcrm: permission denied for id (684392571)
% 1.21/0.64  % (31082)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.44/0.65  % (31100)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.44/0.66  % (31077)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.44/0.66  % (31093)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.44/0.66  % (31085)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.44/0.66  TRYING [1]
% 1.44/0.66  % (31084)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.44/0.66  TRYING [2]
% 1.44/0.66  TRYING [1]
% 1.44/0.66  % (31084)Instruction limit reached!
% 1.44/0.66  % (31084)------------------------------
% 1.44/0.66  % (31084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.66  % (31092)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 (2998ds/99Mi)
% 1.44/0.66  TRYING [2]
% 1.44/0.66  TRYING [3]
% 1.44/0.66  % (31088)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.44/0.66  TRYING [3]
% 1.44/0.66  % (31101)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.44/0.66  % (31090)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 (2998ds/68Mi)
% 1.44/0.66  % (31080)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.44/0.67  TRYING [4]
% 1.44/0.67  % (31098)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 (2998ds/498Mi)
% 1.44/0.67  % (31099)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 (2998ds/467Mi)
% 1.44/0.67  TRYING [4]
% 1.44/0.67  % (31083)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.44/0.67  % (31087)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.44/0.67  % (31077)Refutation not found, incomplete strategy% (31077)------------------------------
% 1.44/0.67  % (31077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.67  % (31077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.67  % (31077)Termination reason: Refutation not found, incomplete strategy
% 1.44/0.67  
% 1.44/0.67  % (31077)Memory used [KB]: 5373
% 1.44/0.67  % (31077)Time elapsed: 0.126 s
% 1.44/0.67  % (31077)Instructions burned: 1 (million)
% 1.44/0.67  % (31077)------------------------------
% 1.44/0.67  % (31077)------------------------------
% 1.44/0.68  % (31084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.68  % (31084)Termination reason: Unknown
% 1.44/0.68  % (31084)Termination phase: Saturation
% 1.44/0.68  
% 1.44/0.68  % (31084)Memory used [KB]: 5373
% 1.44/0.68  % (31084)Time elapsed: 0.106 s
% 1.44/0.68  % (31084)Instructions burned: 2 (million)
% 1.44/0.68  % (31084)------------------------------
% 1.44/0.68  % (31084)------------------------------
% 1.44/0.68  % (31086)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.44/0.68  % (31104)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.44/0.68  % (31105)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 (2998ds/355Mi)
% 1.44/0.68  % (31081)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 (2998ds/48Mi)
% 1.44/0.68  % (31091)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 (2998ds/75Mi)
% 1.44/0.68  % (31103)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 (2998ds/177Mi)
% 1.44/0.68  % (31078)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.44/0.68  % (31089)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.44/0.68  % (31078)First to succeed.
% 1.44/0.69  % (31076)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/191324Mi)
% 1.44/0.69  % (31095)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.44/0.69  TRYING [1]
% 1.44/0.69  TRYING [2]
% 1.44/0.69  TRYING [3]
% 1.44/0.69  TRYING [4]
% 1.44/0.69  % (31102)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 (2998ds/68Mi)
% 1.44/0.69  % (31079)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.44/0.69  % (31097)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.44/0.70  % (31096)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 (2998ds/176Mi)
% 1.44/0.70  % (31078)Refutation found. Thanks to Tanya!
% 1.44/0.70  % SZS status Unsatisfiable for theBenchmark
% 1.44/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.70  % (31078)------------------------------
% 1.44/0.70  % (31078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.70  % (31078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.70  % (31078)Termination reason: Refutation
% 1.44/0.70  
% 1.44/0.70  % (31078)Memory used [KB]: 1023
% 1.44/0.70  % (31078)Time elapsed: 0.150 s
% 1.44/0.70  % (31078)Instructions burned: 8 (million)
% 1.44/0.70  % (31078)------------------------------
% 1.44/0.70  % (31078)------------------------------
% 1.44/0.70  % (30909)Success in time 0.352 s
%------------------------------------------------------------------------------