TSTP Solution File: LCL064-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL064-2 : 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 : n009.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 17:46:44 EDT 2022

% Result   : Unsatisfiable 3.05s 0.76s
% Output   : Refutation 3.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   22 (  12   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1541,plain,
    $false,
    inference(subsumption_resolution,[],[f1478,f196]) ).

fof(f196,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
    inference(resolution,[],[f3,f58]) ).

fof(f58,plain,
    ! [X2,X3,X4] :
      ( ~ is_a_theorem(implies(implies(X2,X3),X4))
      | is_a_theorem(implies(X3,X4)) ),
    inference(resolution,[],[f13,f2]) ).

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

fof(f13,plain,
    ! [X2,X3,X4] :
      ( ~ is_a_theorem(implies(X3,X4))
      | is_a_theorem(implies(X2,X4))
      | ~ is_a_theorem(implies(X2,X3)) ),
    inference(resolution,[],[f11,f5]) ).

fof(f5,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f1,f2]) ).

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(f11,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f10,f1]) ).

fof(f10,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,implies(X1,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(f1478,plain,
    ~ is_a_theorem(implies(implies(b,c),implies(implies(a,b),implies(a,c)))),
    inference(resolution,[],[f1233,f4]) ).

fof(f4,axiom,
    ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_1) ).

fof(f1233,plain,
    ! [X44,X45,X43] :
      ( is_a_theorem(implies(X44,implies(X43,X45)))
      | ~ is_a_theorem(implies(X43,implies(X44,X45))) ),
    inference(resolution,[],[f10,f58]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : LCL064-2 : 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
% 0.12/0.34  % Computer : n009.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 01:30:20 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.56  % (22023)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)
% 0.19/0.56  % (22000)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)
% 0.19/0.56  % (22015)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)
% 0.19/0.57  % (22006)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)
% 0.19/0.57  % (22007)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.58  TRYING [1]
% 0.19/0.58  TRYING [2]
% 0.19/0.58  TRYING [3]
% 0.19/0.58  % (22007)Instruction limit reached!
% 0.19/0.58  % (22007)------------------------------
% 0.19/0.58  % (22007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (22007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (22007)Termination reason: Unknown
% 0.19/0.58  % (22007)Termination phase: Saturation
% 0.19/0.58  
% 0.19/0.58  % (22007)Memory used [KB]: 5373
% 0.19/0.58  % (22007)Time elapsed: 0.097 s
% 0.19/0.58  % (22007)Instructions burned: 7 (million)
% 0.19/0.58  % (22007)------------------------------
% 0.19/0.58  % (22007)------------------------------
% 0.19/0.59  % (22009)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)
% 0.19/0.59  % (22011)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)
% 0.19/0.59  TRYING [4]
% 0.19/0.59  % (22022)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)
% 0.19/0.59  TRYING [1]
% 0.19/0.59  TRYING [2]
% 0.19/0.59  TRYING [3]
% 0.19/0.59  % (22013)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.59  % (22016)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)
% 0.19/0.60  % (22012)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.60  % (22003)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)
% 0.19/0.60  % (22002)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)
% 0.19/0.60  % (22008)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.61  % (22008)Instruction limit reached!
% 0.19/0.61  % (22008)------------------------------
% 0.19/0.61  % (22008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.61  % (22008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.61  % (22008)Termination reason: Unknown
% 0.19/0.61  % (22008)Termination phase: Saturation
% 0.19/0.61  
% 0.19/0.61  % (22008)Memory used [KB]: 5373
% 0.19/0.61  % (22008)Time elapsed: 0.182 s
% 0.19/0.61  % (22008)Instructions burned: 2 (million)
% 0.19/0.61  % (22008)------------------------------
% 0.19/0.61  % (22008)------------------------------
% 0.19/0.61  % (22005)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)
% 0.19/0.61  % (22027)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)
% 0.19/0.62  % (22018)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.62  TRYING [4]
% 2.05/0.62  % (22029)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)
% 2.05/0.62  % (22026)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)
% 2.05/0.63  % (22021)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 2.05/0.63  % (22014)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)
% 2.05/0.63  % (22004)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 2.05/0.63  % (22025)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 2.05/0.64  % (22028)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 2.05/0.64  % (22010)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 2.22/0.64  % (22024)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 2.22/0.65  % (22020)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)
% 2.34/0.65  TRYING [5]
% 2.34/0.66  % (22001)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)
% 2.34/0.66  % (22001)Refutation not found, incomplete strategy% (22001)------------------------------
% 2.34/0.66  % (22001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.66  % (22001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.66  % (22001)Termination reason: Refutation not found, incomplete strategy
% 2.34/0.66  
% 2.34/0.66  % (22001)Memory used [KB]: 5373
% 2.34/0.66  % (22001)Time elapsed: 0.244 s
% 2.34/0.66  % (22001)Instructions burned: 2 (million)
% 2.34/0.66  % (22001)------------------------------
% 2.34/0.66  % (22001)------------------------------
% 2.34/0.67  % (22019)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)
% 2.34/0.68  % (22017)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 2.34/0.68  % (22006)Instruction limit reached!
% 2.34/0.68  % (22006)------------------------------
% 2.34/0.68  % (22006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.68  % (22006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.68  % (22006)Termination reason: Unknown
% 2.34/0.68  % (22006)Termination phase: Finite model building SAT solving
% 2.34/0.68  
% 2.34/0.68  % (22006)Memory used [KB]: 6652
% 2.34/0.68  % (22006)Time elapsed: 0.227 s
% 2.34/0.68  % (22006)Instructions burned: 52 (million)
% 2.34/0.68  % (22006)------------------------------
% 2.34/0.68  % (22006)------------------------------
% 2.34/0.68  TRYING [1]
% 2.34/0.68  TRYING [2]
% 2.34/0.68  TRYING [3]
% 2.34/0.69  % (22002)Instruction limit reached!
% 2.34/0.69  % (22002)------------------------------
% 2.34/0.69  % (22002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.69  % (22002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.69  % (22002)Termination reason: Unknown
% 2.34/0.69  % (22002)Termination phase: Saturation
% 2.34/0.69  
% 2.34/0.69  % (22002)Memory used [KB]: 1407
% 2.34/0.69  % (22002)Time elapsed: 0.270 s
% 2.34/0.69  % (22002)Instructions burned: 37 (million)
% 2.34/0.69  % (22002)------------------------------
% 2.34/0.69  % (22002)------------------------------
% 2.34/0.70  TRYING [4]
% 2.76/0.71  % (22015)Instruction limit reached!
% 2.76/0.71  % (22015)------------------------------
% 2.76/0.71  % (22015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.71  % (22015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.71  % (22015)Termination reason: Unknown
% 2.76/0.71  % (22015)Termination phase: Saturation
% 2.76/0.71  
% 2.76/0.71  % (22015)Memory used [KB]: 2174
% 2.76/0.71  % (22015)Time elapsed: 0.233 s
% 2.76/0.71  % (22015)Instructions burned: 75 (million)
% 2.76/0.71  % (22015)------------------------------
% 2.76/0.71  % (22015)------------------------------
% 2.76/0.72  % (22005)Instruction limit reached!
% 2.76/0.72  % (22005)------------------------------
% 2.76/0.72  % (22005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.72  % (22005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.72  % (22005)Termination reason: Unknown
% 2.76/0.72  % (22005)Termination phase: Saturation
% 2.76/0.72  
% 2.76/0.72  % (22005)Memory used [KB]: 5756
% 2.76/0.72  % (22005)Time elapsed: 0.312 s
% 2.76/0.72  % (22005)Instructions burned: 49 (million)
% 2.76/0.72  % (22005)------------------------------
% 2.76/0.72  % (22005)------------------------------
% 2.76/0.73  % (22009)Instruction limit reached!
% 2.76/0.73  % (22009)------------------------------
% 2.76/0.73  % (22009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.73  % (22009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.73  % (22009)Termination reason: Unknown
% 2.76/0.73  % (22009)Termination phase: Saturation
% 2.76/0.73  
% 2.76/0.73  % (22009)Memory used [KB]: 1535
% 2.76/0.73  % (22009)Time elapsed: 0.309 s
% 2.76/0.73  % (22009)Instructions burned: 51 (million)
% 2.76/0.73  % (22009)------------------------------
% 2.76/0.73  % (22009)------------------------------
% 3.05/0.76  % (22016)First to succeed.
% 3.05/0.76  % (22016)Refutation found. Thanks to Tanya!
% 3.05/0.76  % SZS status Unsatisfiable for theBenchmark
% 3.05/0.76  % SZS output start Proof for theBenchmark
% See solution above
% 3.05/0.76  % (22016)------------------------------
% 3.05/0.76  % (22016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.76  % (22016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.76  % (22016)Termination reason: Refutation
% 3.05/0.76  
% 3.05/0.76  % (22016)Memory used [KB]: 6140
% 3.05/0.76  % (22016)Time elapsed: 0.319 s
% 3.05/0.76  % (22016)Instructions burned: 98 (million)
% 3.05/0.76  % (22016)------------------------------
% 3.05/0.76  % (22016)------------------------------
% 3.05/0.76  % (21999)Success in time 0.405 s
%------------------------------------------------------------------------------