TSTP Solution File: REL046-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : REL046-1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n023.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 18:14:10 EDT 2022

% Result   : Unsatisfiable 1.44s 0.62s
% Output   : Refutation 1.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (  12 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f680,plain,
    $false,
    inference(subsumption_resolution,[],[f679,f70]) ).

fof(f70,plain,
    sk2 = join(sk1,sk2),
    inference(superposition,[],[f33,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).

fof(f33,plain,
    ! [X13] : join(sk1,join(complement(join(complement(sk2),complement(sk3))),X13)) = join(complement(join(complement(sk2),complement(sk3))),X13),
    inference(superposition,[],[f2,f16]) ).

fof(f16,plain,
    complement(join(complement(sk2),complement(sk3))) = join(sk1,complement(join(complement(sk2),complement(sk3)))),
    inference(definition_unfolding,[],[f14,f4,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).

fof(f14,axiom,
    meet(sk2,sk3) = join(sk1,meet(sk2,sk3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).

fof(f2,axiom,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).

fof(f679,plain,
    sk2 != join(sk1,sk2),
    inference(trivial_inequality_removal,[],[f672]) ).

fof(f672,plain,
    ( sk3 != sk3
    | sk2 != join(sk1,sk2) ),
    inference(superposition,[],[f15,f638]) ).

fof(f638,plain,
    sk3 = join(sk1,sk3),
    inference(superposition,[],[f33,f62]) ).

fof(f62,plain,
    ! [X2,X3] : join(complement(join(complement(X3),complement(X2))),complement(join(complement(X2),X3))) = X2,
    inference(superposition,[],[f3,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).

fof(f15,axiom,
    ( sk3 != join(sk1,sk3)
    | sk2 != join(sk1,sk2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : REL046-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 11:56:20 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  % (20118)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.49  % (20106)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49  % (20110)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51  % (20095)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)
% 0.20/0.51  % (20094)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)
% 0.20/0.51  TRYING [1]
% 0.20/0.51  TRYING [2]
% 0.20/0.51  TRYING [3]
% 0.20/0.51  % (20103)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (20120)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)
% 0.20/0.52  % (20096)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)
% 0.20/0.52  % (20101)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (20111)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (20101)Instruction limit reached!
% 0.20/0.53  % (20101)------------------------------
% 0.20/0.53  % (20101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (20101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (20101)Termination reason: Unknown
% 0.20/0.53  % (20101)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (20101)Memory used [KB]: 5373
% 0.20/0.53  % (20101)Time elapsed: 0.003 s
% 0.20/0.53  % (20101)Instructions burned: 2 (million)
% 0.20/0.53  % (20101)------------------------------
% 0.20/0.53  % (20101)------------------------------
% 1.33/0.54  % (20107)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)
% 1.33/0.54  % (20117)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.33/0.54  % (20097)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.54  % (20098)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 (2999ds/48Mi)
% 1.33/0.54  % (20104)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)
% 1.33/0.54  % (20105)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.33/0.54  % (20099)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)
% 1.33/0.54  % (20109)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 (2999ds/99Mi)
% 1.33/0.54  TRYING [1]
% 1.33/0.54  TRYING [2]
% 1.44/0.55  % (20115)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)
% 1.44/0.55  % (20095)Instruction limit reached!
% 1.44/0.55  % (20095)------------------------------
% 1.44/0.55  % (20095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55  % (20095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55  % (20095)Termination reason: Unknown
% 1.44/0.55  % (20093)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 (2999ds/191324Mi)
% 1.44/0.55  % (20102)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)
% 1.44/0.55  TRYING [1]
% 1.44/0.55  % (20108)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 (2999ds/75Mi)
% 1.44/0.55  % (20121)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.44/0.55  TRYING [2]
% 1.44/0.55  % (20122)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)
% 1.44/0.55  % (20119)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)
% 1.44/0.55  TRYING [3]
% 1.44/0.56  % (20116)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)
% 1.44/0.56  % (20112)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)
% 1.44/0.56  % (20113)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)
% 1.44/0.56  % (20114)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.44/0.56  TRYING [4]
% 1.44/0.57  % (20110)Instruction limit reached!
% 1.44/0.57  % (20110)------------------------------
% 1.44/0.57  % (20110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.57  % (20110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.57  % (20110)Termination reason: Unknown
% 1.44/0.57  % (20110)Termination phase: Finite model building constraint generation
% 1.44/0.57  
% 1.44/0.57  % (20110)Memory used [KB]: 7675
% 1.44/0.57  % (20110)Time elapsed: 0.173 s
% 1.44/0.57  % (20110)Instructions burned: 59 (million)
% 1.44/0.57  % (20110)------------------------------
% 1.44/0.57  % (20110)------------------------------
% 1.44/0.57  % (20095)Termination phase: Saturation
% 1.44/0.57  
% 1.44/0.57  % (20095)Memory used [KB]: 1663
% 1.44/0.57  % (20095)Time elapsed: 0.155 s
% 1.44/0.57  % (20095)Instructions burned: 38 (million)
% 1.44/0.57  % (20095)------------------------------
% 1.44/0.57  % (20095)------------------------------
% 1.44/0.57  % (20094)Instruction limit reached!
% 1.44/0.57  % (20094)------------------------------
% 1.44/0.57  % (20094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.57  TRYING [3]
% 1.44/0.57  % (20094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.57  % (20094)Termination reason: Unknown
% 1.44/0.57  % (20094)Termination phase: Saturation
% 1.44/0.57  
% 1.44/0.57  % (20094)Memory used [KB]: 6140
% 1.44/0.57  % (20094)Time elapsed: 0.159 s
% 1.44/0.57  % (20094)Instructions burned: 50 (million)
% 1.44/0.57  % (20094)------------------------------
% 1.44/0.57  % (20094)------------------------------
% 1.44/0.57  % (20100)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.44/0.58  % (20100)Instruction limit reached!
% 1.44/0.58  % (20100)------------------------------
% 1.44/0.58  % (20100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.58  % (20100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.58  % (20100)Termination reason: Unknown
% 1.44/0.58  % (20100)Termination phase: Saturation
% 1.44/0.58  
% 1.44/0.58  % (20100)Memory used [KB]: 5500
% 1.44/0.58  % (20100)Time elapsed: 0.165 s
% 1.44/0.58  % (20100)Instructions burned: 9 (million)
% 1.44/0.58  % (20100)------------------------------
% 1.44/0.58  % (20100)------------------------------
% 1.44/0.59  % (20103)Instruction limit reached!
% 1.44/0.59  % (20103)------------------------------
% 1.44/0.59  % (20103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.59  % (20103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.59  % (20103)Termination reason: Unknown
% 1.44/0.59  % (20103)Termination phase: Saturation
% 1.44/0.59  
% 1.44/0.59  % (20103)Memory used [KB]: 6268
% 1.44/0.59  % (20103)Time elapsed: 0.178 s
% 1.44/0.59  % (20103)Instructions burned: 51 (million)
% 1.44/0.59  % (20103)------------------------------
% 1.44/0.59  % (20103)------------------------------
% 1.44/0.60  % (20096)Instruction limit reached!
% 1.44/0.60  % (20096)------------------------------
% 1.44/0.60  % (20096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.60  % (20096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.60  % (20096)Termination reason: Unknown
% 1.44/0.60  % (20096)Termination phase: Saturation
% 1.44/0.60  
% 1.44/0.60  % (20096)Memory used [KB]: 6396
% 1.44/0.60  % (20096)Time elapsed: 0.189 s
% 1.44/0.60  % (20096)Instructions burned: 52 (million)
% 1.44/0.60  % (20096)------------------------------
% 1.44/0.60  % (20096)------------------------------
% 1.44/0.60  TRYING [4]
% 1.44/0.60  % (20102)Instruction limit reached!
% 1.44/0.60  % (20102)------------------------------
% 1.44/0.60  % (20102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.61  TRYING [4]
% 1.44/0.62  % (20112)First to succeed.
% 1.44/0.62  % (20102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.62  % (20102)Termination reason: Unknown
% 1.44/0.62  % (20102)Termination phase: Saturation
% 1.44/0.62  
% 1.44/0.62  % (20102)Memory used [KB]: 1918
% 1.44/0.62  % (20102)Time elapsed: 0.197 s
% 1.44/0.62  % (20102)Instructions burned: 52 (million)
% 1.44/0.62  % (20102)------------------------------
% 1.44/0.62  % (20102)------------------------------
% 1.44/0.62  % (20112)Refutation found. Thanks to Tanya!
% 1.44/0.62  % SZS status Unsatisfiable for theBenchmark
% 1.44/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.62  % (20112)------------------------------
% 1.44/0.62  % (20112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.62  % (20112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.62  % (20112)Termination reason: Refutation
% 1.44/0.62  
% 1.44/0.62  % (20112)Memory used [KB]: 1791
% 1.44/0.62  % (20112)Time elapsed: 0.213 s
% 1.44/0.62  % (20112)Instructions burned: 51 (million)
% 1.44/0.62  % (20112)------------------------------
% 1.44/0.62  % (20112)------------------------------
% 1.44/0.62  % (20092)Success in time 0.256 s
%------------------------------------------------------------------------------