TSTP Solution File: LCL115-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL115-2 : 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_uns --cores 0 -t %d %s

% Computer : n002.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 17:38:57 EDT 2022

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   36 (  36 unt;   0 def)
%            Number of atoms       :   36 (  35 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   50 (  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f711,plain,
    $false,
    inference(trivial_inequality_removal,[],[f679]) ).

fof(f679,plain,
    truth != truth,
    inference(backward_demodulation,[],[f5,f603]) ).

fof(f603,plain,
    ! [X11,X12] : truth = implies(not(implies(X12,X11)),not(X11)),
    inference(forward_demodulation,[],[f592,f554]) ).

fof(f554,plain,
    ! [X2] : not(X2) = implies(X2,not(truth)),
    inference(superposition,[],[f337,f537]) ).

fof(f537,plain,
    ! [X7] : implies(not(X7),not(truth)) = X7,
    inference(forward_demodulation,[],[f536,f1]) ).

fof(f1,axiom,
    ! [X0] : implies(truth,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).

fof(f536,plain,
    ! [X7] : implies(truth,X7) = implies(not(X7),not(truth)),
    inference(forward_demodulation,[],[f535,f20]) ).

fof(f20,plain,
    ! [X0] : truth = implies(implies(not(X0),not(truth)),X0),
    inference(superposition,[],[f4,f1]) ).

fof(f4,axiom,
    ! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_4) ).

fof(f535,plain,
    ! [X7] : implies(implies(implies(not(X7),not(truth)),X7),X7) = implies(not(X7),not(truth)),
    inference(forward_demodulation,[],[f522,f1]) ).

fof(f522,plain,
    ! [X7] : implies(implies(implies(not(X7),not(truth)),X7),X7) = implies(truth,implies(not(X7),not(truth))),
    inference(superposition,[],[f3,f506]) ).

fof(f506,plain,
    ! [X0] : truth = implies(X0,implies(not(X0),not(truth))),
    inference(forward_demodulation,[],[f485,f1]) ).

fof(f485,plain,
    ! [X0] : truth = implies(truth,implies(X0,implies(not(X0),not(truth)))),
    inference(superposition,[],[f4,f457]) ).

fof(f457,plain,
    ! [X19] : truth = implies(not(implies(X19,not(truth))),X19),
    inference(superposition,[],[f303,f337]) ).

fof(f303,plain,
    ! [X8,X7] : truth = implies(not(X8),implies(X8,X7)),
    inference(forward_demodulation,[],[f278,f1]) ).

fof(f278,plain,
    ! [X8,X7] : truth = implies(truth,implies(not(X8),implies(X8,X7))),
    inference(superposition,[],[f255,f4]) ).

fof(f255,plain,
    ! [X2,X3,X1] : truth = implies(implies(implies(X2,X1),X3),implies(X1,X3)),
    inference(forward_demodulation,[],[f245,f1]) ).

fof(f245,plain,
    ! [X2,X3,X1] : truth = implies(truth,implies(implies(implies(X2,X1),X3),implies(X1,X3))),
    inference(superposition,[],[f2,f222]) ).

fof(f222,plain,
    ! [X0,X1] : truth = implies(X1,implies(X0,X1)),
    inference(forward_demodulation,[],[f221,f1]) ).

fof(f221,plain,
    ! [X0,X1] : truth = implies(implies(truth,X1),implies(X0,X1)),
    inference(forward_demodulation,[],[f209,f1]) ).

fof(f209,plain,
    ! [X0,X1] : truth = implies(truth,implies(implies(truth,X1),implies(X0,X1))),
    inference(superposition,[],[f2,f185]) ).

fof(f185,plain,
    ! [X0] : truth = implies(X0,truth),
    inference(superposition,[],[f74,f160]) ).

fof(f160,plain,
    ! [X0] : truth = implies(implies(X0,truth),truth),
    inference(backward_demodulation,[],[f6,f148]) ).

fof(f148,plain,
    ! [X15] : truth = implies(X15,X15),
    inference(forward_demodulation,[],[f143,f1]) ).

fof(f143,plain,
    ! [X15] : truth = implies(implies(truth,X15),X15),
    inference(superposition,[],[f1,f74]) ).

fof(f6,plain,
    ! [X0] : implies(X0,X0) = implies(implies(X0,truth),truth),
    inference(superposition,[],[f3,f1]) ).

fof(f74,plain,
    ! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),X1)),
    inference(forward_demodulation,[],[f36,f1]) ).

fof(f36,plain,
    ! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),implies(truth,X1))),
    inference(superposition,[],[f2,f1]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_2) ).

fof(f3,axiom,
    ! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_3) ).

fof(f337,plain,
    ! [X7] : implies(implies(X7,not(truth)),not(truth)) = X7,
    inference(forward_demodulation,[],[f330,f1]) ).

fof(f330,plain,
    ! [X7] : implies(implies(X7,not(truth)),not(truth)) = implies(truth,X7),
    inference(superposition,[],[f3,f313]) ).

fof(f313,plain,
    ! [X9] : truth = implies(not(truth),X9),
    inference(forward_demodulation,[],[f279,f1]) ).

fof(f279,plain,
    ! [X9] : truth = implies(truth,implies(not(truth),X9)),
    inference(superposition,[],[f255,f20]) ).

fof(f592,plain,
    ! [X11,X12] : truth = implies(implies(implies(X12,X11),not(truth)),not(X11)),
    inference(superposition,[],[f255,f554]) ).

fof(f5,axiom,
    truth != implies(not(implies(a,b)),not(b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_39) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LCL115-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 01:49:13 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.46  % (25617)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.49  % (25632)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.20/0.49  % (25634)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.50  % (25624)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50  % (25626)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51  % (25623)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.51  % (25631)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 0.20/0.51  % (25642)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 0.20/0.52  % (25640)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.52  % (25624)Instruction limit reached!
% 0.20/0.52  % (25624)------------------------------
% 0.20/0.52  % (25624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (25624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (25624)Termination reason: Unknown
% 0.20/0.52  % (25624)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (25624)Memory used [KB]: 5628
% 0.20/0.52  % (25624)Time elapsed: 0.107 s
% 0.20/0.52  % (25624)Instructions burned: 8 (million)
% 0.20/0.52  % (25624)------------------------------
% 0.20/0.52  % (25624)------------------------------
% 0.20/0.52  % (25633)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.20/0.52  % (25639)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 0.20/0.53  % (25621)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53  % (25621)Instruction limit reached!
% 0.20/0.53  % (25621)------------------------------
% 0.20/0.53  % (25621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (25621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (25621)Termination reason: Unknown
% 0.20/0.53  % (25621)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (25621)Memory used [KB]: 5500
% 0.20/0.53  % (25621)Time elapsed: 0.116 s
% 0.20/0.53  % (25621)Instructions burned: 6 (million)
% 0.20/0.53  % (25621)------------------------------
% 0.20/0.53  % (25621)------------------------------
% 0.20/0.53  % (25630)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.20/0.53  % (25625)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.53  % (25618)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 0.20/0.53  % (25620)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54  % (25622)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54  % (25629)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54  % (25631)First to succeed.
% 0.20/0.54  % (25637)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 0.20/0.54  % (25636)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54  % (25643)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54  % (25644)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.54  % (25641)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 0.20/0.54  % (25623)Instruction limit reached!
% 0.20/0.54  % (25623)------------------------------
% 0.20/0.54  % (25623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (25623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (25623)Termination reason: Unknown
% 0.20/0.54  % (25623)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (25623)Memory used [KB]: 5628
% 0.20/0.54  % (25623)Time elapsed: 0.131 s
% 0.20/0.54  % (25623)Instructions burned: 20 (million)
% 0.20/0.54  % (25623)------------------------------
% 0.20/0.54  % (25623)------------------------------
% 0.20/0.54  % (25638)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.55  % (25645)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 0.20/0.55  % (25631)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (25631)------------------------------
% 0.20/0.55  % (25631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (25631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (25631)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (25631)Memory used [KB]: 5884
% 0.20/0.55  % (25631)Time elapsed: 0.112 s
% 0.20/0.55  % (25631)Instructions burned: 27 (million)
% 0.20/0.55  % (25631)------------------------------
% 0.20/0.55  % (25631)------------------------------
% 0.20/0.55  % (25614)Success in time 0.186 s
%------------------------------------------------------------------------------