TSTP Solution File: LCL041-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL041-1 : 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 : n025.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 17:46:39 EDT 2022

% Result   : Unsatisfiable 1.32s 0.53s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (  11 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (   9   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f216,plain,
    $false,
    inference(subsumption_resolution,[],[f210,f13]) ).

fof(f13,plain,
    ! [X0,X1] : ~ is_a_theorem(implies(X0,implies(not(X0),X1))),
    inference(consistent_polarity_flipping,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).

fof(f210,plain,
    is_a_theorem(implies(a,implies(not(a),b))),
    inference(resolution,[],[f135,f22]) ).

fof(f22,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,implies(X0,X2)))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f10,f8]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,X1))
      | is_a_theorem(X0)
      | ~ is_a_theorem(X1) ),
    inference(consistent_polarity_flipping,[],[f1]) ).

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

fof(f10,plain,
    ! [X2,X0,X1] : ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
    inference(consistent_polarity_flipping,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_21) ).

fof(f135,plain,
    is_a_theorem(implies(not(a),implies(a,b))),
    inference(resolution,[],[f67,f11]) ).

fof(f11,plain,
    ! [X0,X1] : ~ is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_54) ).

fof(f67,plain,
    ! [X5] :
      ( is_a_theorem(implies(implies(a,implies(a,b)),implies(X5,implies(a,b))))
      | is_a_theorem(X5) ),
    inference(resolution,[],[f31,f12]) ).

fof(f12,plain,
    is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b))),
    inference(consistent_polarity_flipping,[],[f7]) ).

fof(f7,axiom,
    ~ is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_30) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,X2))
      | is_a_theorem(X1)
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f22,f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL041-1 : 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_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n025.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 01:39:59 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (24585)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50  % (24591)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 (2999ds/100Mi)
% 0.20/0.51  % (24580)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  % (24580)Instruction limit reached!
% 0.20/0.51  % (24580)------------------------------
% 0.20/0.51  % (24580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (24580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (24580)Termination reason: Unknown
% 0.20/0.51  % (24580)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (24580)Memory used [KB]: 895
% 0.20/0.51  % (24580)Time elapsed: 0.002 s
% 0.20/0.51  % (24580)Instructions burned: 2 (million)
% 0.20/0.51  % (24580)------------------------------
% 0.20/0.51  % (24580)------------------------------
% 1.32/0.51  % (24586)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)
% 1.32/0.51  % (24599)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 (2999ds/177Mi)
% 1.32/0.51  % (24573)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)
% 1.32/0.52  % (24574)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 (2999ds/37Mi)
% 1.32/0.52  % (24573)Refutation not found, incomplete strategy% (24573)------------------------------
% 1.32/0.52  % (24573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.52  % (24573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.52  % (24573)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.52  
% 1.32/0.52  % (24573)Memory used [KB]: 5373
% 1.32/0.52  % (24573)Time elapsed: 0.118 s
% 1.32/0.52  % (24573)Instructions burned: 2 (million)
% 1.32/0.52  % (24573)------------------------------
% 1.32/0.52  % (24573)------------------------------
% 1.32/0.52  % (24594)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)
% 1.32/0.52  % (24582)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.32/0.52  % (24576)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.52  % (24583)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.32/0.52  % (24575)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)
% 1.32/0.52  % (24579)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.32/0.52  % (24600)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.32/0.53  % (24591)First to succeed.
% 1.32/0.53  % (24579)Instruction limit reached!
% 1.32/0.53  % (24579)------------------------------
% 1.32/0.53  % (24579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53  % (24579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53  % (24579)Termination reason: Unknown
% 1.32/0.53  % (24579)Termination phase: Saturation
% 1.32/0.53  
% 1.32/0.53  % (24589)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.32/0.53  % (24579)Memory used [KB]: 5500
% 1.32/0.53  % (24579)Time elapsed: 0.101 s
% 1.32/0.53  % (24579)Instructions burned: 7 (million)
% 1.32/0.53  % (24579)------------------------------
% 1.32/0.53  % (24579)------------------------------
% 1.32/0.53  % (24593)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.32/0.53  % (24601)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)
% 1.32/0.53  % (24591)Refutation found. Thanks to Tanya!
% 1.32/0.53  % SZS status Unsatisfiable for theBenchmark
% 1.32/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.53  % (24591)------------------------------
% 1.32/0.53  % (24591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53  % (24591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53  % (24591)Termination reason: Refutation
% 1.32/0.53  
% 1.32/0.53  % (24591)Memory used [KB]: 1023
% 1.32/0.53  % (24591)Time elapsed: 0.126 s
% 1.32/0.53  % (24591)Instructions burned: 12 (million)
% 1.32/0.53  % (24591)------------------------------
% 1.32/0.53  % (24591)------------------------------
% 1.32/0.53  % (24571)Success in time 0.177 s
%------------------------------------------------------------------------------