TSTP Solution File: LCL077-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL077-1 : 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 17:46:47 EDT 2022

% Result   : Unsatisfiable 1.56s 0.57s
% Output   : Refutation 1.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (  12 unt;   0 def)
%            Number of atoms       :   27 (   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    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f424,plain,
    $false,
    inference(resolution,[],[f416,f5]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(not(not(a)),a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_39) ).

fof(f416,plain,
    ! [X7] : is_a_theorem(implies(not(not(X7)),X7)),
    inference(resolution,[],[f367,f150]) ).

fof(f150,plain,
    ! [X11,X12] :
      ( ~ is_a_theorem(implies(X11,implies(X11,X12)))
      | is_a_theorem(implies(X11,X12)) ),
    inference(resolution,[],[f108,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(f108,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
    inference(resolution,[],[f35,f12]) ).

fof(f12,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,X0))),
    inference(resolution,[],[f11,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).

fof(f11,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
    inference(resolution,[],[f3,f1]) ).

fof(f3,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',cn_35) ).

fof(f35,plain,
    ! [X10,X11,X12] :
      ( ~ is_a_theorem(implies(implies(X10,implies(X11,X12)),implies(X10,X11)))
      | is_a_theorem(implies(implies(X10,implies(X11,X12)),implies(X10,X12))) ),
    inference(resolution,[],[f15,f1]) ).

fof(f15,plain,
    ! [X8,X9,X7] : is_a_theorem(implies(implies(implies(X7,implies(X8,X9)),implies(X7,X8)),implies(implies(X7,implies(X8,X9)),implies(X7,X9)))),
    inference(resolution,[],[f11,f3]) ).

fof(f367,plain,
    ! [X3,X4] : is_a_theorem(implies(not(not(X3)),implies(X4,X3))),
    inference(resolution,[],[f291,f72]) ).

fof(f72,plain,
    ! [X10,X11,X12] :
      ( ~ is_a_theorem(implies(X10,implies(not(X11),not(X12))))
      | is_a_theorem(implies(X10,implies(X12,X11))) ),
    inference(resolution,[],[f20,f1]) ).

fof(f20,plain,
    ! [X8,X6,X7] : is_a_theorem(implies(implies(X6,implies(not(X7),not(X8))),implies(X6,implies(X8,X7)))),
    inference(resolution,[],[f13,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_49) ).

fof(f13,plain,
    ! [X2,X3,X4] :
      ( ~ is_a_theorem(implies(X3,X4))
      | is_a_theorem(implies(implies(X2,X3),implies(X2,X4))) ),
    inference(resolution,[],[f11,f6]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X1,X0))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f1,f2]) ).

fof(f291,plain,
    ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(resolution,[],[f72,f2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : LCL077-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % 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 : n021.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 01:30:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (29193)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)
% 0.19/0.51  % (29194)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51  % (29202)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.52  % (29197)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.52  % (29200)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.52  % (29203)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.52  % (29210)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 (3000ds/176Mi)
% 0.19/0.53  % (29197)Instruction limit reached!
% 0.19/0.53  % (29197)------------------------------
% 0.19/0.53  % (29197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53  % (29195)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)
% 1.45/0.53  % (29214)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.45/0.53  % (29201)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)
% 1.45/0.53  % (29212)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)
% 1.45/0.53  % (29197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53  % (29197)Termination reason: Unknown
% 1.45/0.53  % (29197)Termination phase: Saturation
% 1.45/0.53  
% 1.45/0.53  % (29197)Memory used [KB]: 5500
% 1.45/0.53  % (29197)Time elapsed: 0.119 s
% 1.45/0.53  % (29197)Instructions burned: 8 (million)
% 1.45/0.53  % (29197)------------------------------
% 1.45/0.53  % (29197)------------------------------
% 1.45/0.53  % (29199)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 (3000ds/51Mi)
% 1.45/0.53  % (29213)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)
% 1.45/0.53  % (29218)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.45/0.53  % (29205)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)
% 1.45/0.53  % (29196)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.45/0.53  TRYING [1]
% 1.45/0.53  TRYING [2]
% 1.45/0.54  TRYING [3]
% 1.45/0.54  % (29192)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 (3000ds/37Mi)
% 1.45/0.54  % (29217)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)
% 1.45/0.54  % (29198)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.45/0.54  % (29219)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 (3000ds/355Mi)
% 1.45/0.54  % (29190)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 (3000ds/191324Mi)
% 1.45/0.54  TRYING [1]
% 1.45/0.54  TRYING [2]
% 1.45/0.54  TRYING [3]
% 1.45/0.54  % (29208)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.45/0.54  TRYING [4]
% 1.45/0.54  % (29216)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)
% 1.45/0.55  % (29204)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)
% 1.56/0.55  % (29209)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 (3000ds/100Mi)
% 1.56/0.55  % (29191)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)
% 1.56/0.55  % (29206)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)
% 1.56/0.55  % (29191)Refutation not found, incomplete strategy% (29191)------------------------------
% 1.56/0.55  % (29191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55  % (29191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55  % (29191)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.55  
% 1.56/0.55  % (29191)Memory used [KB]: 5373
% 1.56/0.55  % (29191)Time elapsed: 0.145 s
% 1.56/0.55  % (29191)Instructions burned: 1 (million)
% 1.56/0.55  % (29191)------------------------------
% 1.56/0.55  % (29191)------------------------------
% 1.56/0.55  % (29215)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 1.56/0.55  % (29211)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.56/0.56  % (29198)Instruction limit reached!
% 1.56/0.56  % (29198)------------------------------
% 1.56/0.56  % (29198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56  % (29198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (29198)Termination reason: Unknown
% 1.56/0.56  % (29198)Termination phase: Saturation
% 1.56/0.56  
% 1.56/0.56  % (29198)Memory used [KB]: 5373
% 1.56/0.56  % (29198)Time elapsed: 0.139 s
% 1.56/0.56  % (29198)Instructions burned: 3 (million)
% 1.56/0.56  % (29198)------------------------------
% 1.56/0.56  % (29198)------------------------------
% 1.56/0.56  TRYING [4]
% 1.56/0.56  % (29207)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.56/0.56  TRYING [1]
% 1.56/0.56  TRYING [2]
% 1.56/0.56  TRYING [3]
% 1.56/0.57  % (29192)First to succeed.
% 1.56/0.57  % (29192)Refutation found. Thanks to Tanya!
% 1.56/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.56/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.57  % (29192)------------------------------
% 1.56/0.57  % (29192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57  % (29192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57  % (29192)Termination reason: Refutation
% 1.56/0.57  
% 1.56/0.57  % (29192)Memory used [KB]: 1279
% 1.56/0.57  % (29192)Time elapsed: 0.165 s
% 1.56/0.57  % (29192)Instructions burned: 22 (million)
% 1.56/0.57  % (29192)------------------------------
% 1.56/0.57  % (29192)------------------------------
% 1.56/0.57  % (29189)Success in time 0.22 s
%------------------------------------------------------------------------------