TSTP Solution File: LCL185-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL185-3 : TPTP v8.1.0. Released v2.3.0.
% 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 : n017.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 17:47:11 EDT 2022

% Result   : Unsatisfiable 1.45s 0.54s
% Output   : Refutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   20 (  12 unt;   0 def)
%            Number of atoms       :   32 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   33 (  21   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f153,plain,
    $false,
    inference(resolution,[],[f152,f16]) ).

fof(f16,plain,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    inference(definition_unfolding,[],[f2,f6]) ).

fof(f6,axiom,
    ! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(implies(X0,or(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).

fof(f152,plain,
    ~ axiom(or(not(p),or(q,p))),
    inference(resolution,[],[f146,f7]) ).

fof(f7,axiom,
    ! [X3] :
      ( theorem(X3)
      | ~ axiom(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).

fof(f146,plain,
    ~ theorem(or(not(p),or(q,p))),
    inference(resolution,[],[f96,f13]) ).

fof(f13,plain,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    inference(definition_unfolding,[],[f3,f6]) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).

fof(f96,plain,
    ! [X2] :
      ( ~ axiom(or(not(X2),or(p,q)))
      | ~ theorem(or(not(p),X2)) ),
    inference(resolution,[],[f49,f7]) ).

fof(f49,plain,
    ! [X3] :
      ( ~ theorem(or(not(X3),or(p,q)))
      | ~ theorem(or(not(p),X3)) ),
    inference(resolution,[],[f39,f15]) ).

fof(f15,plain,
    ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(definition_unfolding,[],[f5,f6,f6,f6]) ).

fof(f5,axiom,
    ! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).

fof(f39,plain,
    ! [X3,X4] :
      ( ~ axiom(or(not(X3),or(not(X4),or(not(p),or(p,q)))))
      | ~ theorem(X3)
      | ~ theorem(X4) ),
    inference(resolution,[],[f19,f7]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ theorem(or(not(X1),or(not(X0),or(not(p),or(p,q)))))
      | ~ theorem(X1)
      | ~ theorem(X0) ),
    inference(resolution,[],[f18,f14]) ).

fof(f14,plain,
    ! [X3,X4] :
      ( theorem(X3)
      | ~ theorem(X4)
      | ~ theorem(or(not(X4),X3)) ),
    inference(definition_unfolding,[],[f8,f6]) ).

fof(f8,axiom,
    ! [X3,X4] :
      ( ~ theorem(X4)
      | ~ theorem(implies(X4,X3))
      | theorem(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).

fof(f18,plain,
    ! [X0] :
      ( ~ theorem(or(not(X0),or(not(p),or(p,q))))
      | ~ theorem(X0) ),
    inference(resolution,[],[f14,f10]) ).

fof(f10,plain,
    ~ theorem(or(not(p),or(p,q))),
    inference(definition_unfolding,[],[f9,f6]) ).

fof(f9,axiom,
    ~ theorem(implies(p,or(p,q))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL185-3 : TPTP v8.1.0. Released v2.3.0.
% 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 : n017.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 01:05:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  % (2984)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (2990)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.31/0.52  % (3000)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)
% 1.31/0.52  % (2992)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.31/0.52  % (2994)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)
% 1.31/0.52  % (2989)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 (2999ds/51Mi)
% 1.31/0.53  % (3002)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)
% 1.31/0.53  % (2986)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.53  % (2982)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)
% 1.31/0.53  % (3003)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 (2999ds/467Mi)
% 1.31/0.53  TRYING [1]
% 1.31/0.53  % (2989)First to succeed.
% 1.31/0.53  % (2981)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)
% 1.31/0.53  TRYING [2]
% 1.45/0.54  % (2988)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.45/0.54  % (2988)Instruction limit reached!
% 1.45/0.54  % (2988)------------------------------
% 1.45/0.54  % (2988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54  % (2988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54  % (2988)Termination reason: Unknown
% 1.45/0.54  % (2988)Termination phase: Saturation
% 1.45/0.54  
% 1.45/0.54  % (2988)Memory used [KB]: 5373
% 1.45/0.54  % (2988)Time elapsed: 0.134 s
% 1.45/0.54  % (2988)Instructions burned: 3 (million)
% 1.45/0.54  % (2988)------------------------------
% 1.45/0.54  % (2988)------------------------------
% 1.45/0.54  % (2983)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)
% 1.45/0.54  % (2981)Refutation not found, incomplete strategy% (2981)------------------------------
% 1.45/0.54  % (2981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54  % (3008)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.45/0.54  % (3009)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)
% 1.45/0.54  % (3005)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.45/0.54  % (2981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54  % (2981)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.54  
% 1.45/0.54  % (2989)Refutation found. Thanks to Tanya!
% 1.45/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.45/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.54  % (2989)------------------------------
% 1.45/0.54  % (2989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54  % (2989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54  % (2989)Termination reason: Refutation
% 1.45/0.54  
% 1.45/0.54  % (2989)Memory used [KB]: 1023
% 1.45/0.54  % (2989)Time elapsed: 0.126 s
% 1.45/0.54  % (2989)Instructions burned: 5 (million)
% 1.45/0.54  % (2989)------------------------------
% 1.45/0.54  % (2989)------------------------------
% 1.45/0.54  % (2979)Success in time 0.186 s
%------------------------------------------------------------------------------