TSTP Solution File: GRP680-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP680-1 : 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 : n025.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 16:23:37 EDT 2022

% Result   : Unsatisfiable 0.15s 0.57s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   36 (  36 unt;   0 def)
%            Number of atoms       :   36 (  35 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   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   :   46 (  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f919,plain,
    $false,
    inference(trivial_inequality_removal,[],[f918]) ).

fof(f918,plain,
    ld(op_c,a) != ld(op_c,a),
    inference(backward_demodulation,[],[f207,f917]) ).

fof(f917,plain,
    ! [X3] : ld(ld(X3,unit),ld(op_c,unit)) = ld(op_c,X3),
    inference(forward_demodulation,[],[f916,f125]) ).

fof(f125,plain,
    ! [X0] : ld(ld(X0,unit),unit) = X0,
    inference(backward_demodulation,[],[f5,f106]) ).

fof(f106,plain,
    ! [X0,X1] : mult(X0,X1) = ld(ld(X0,unit),X1),
    inference(backward_demodulation,[],[f28,f93]) ).

fof(f93,plain,
    ! [X3] : ld(X3,unit) = i(X3),
    inference(superposition,[],[f24,f5]) ).

fof(f24,plain,
    ! [X2,X3] : ld(X2,X3) = mult(i(X2),X3),
    inference(superposition,[],[f8,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).

fof(f8,axiom,
    ! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).

fof(f28,plain,
    ! [X0,X1] : mult(X0,X1) = ld(i(X0),X1),
    inference(superposition,[],[f2,f8]) ).

fof(f2,axiom,
    ! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).

fof(f5,axiom,
    ! [X0] : mult(X0,unit) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).

fof(f916,plain,
    ! [X3] : ld(ld(X3,unit),ld(op_c,unit)) = ld(op_c,ld(ld(X3,unit),unit)),
    inference(forward_demodulation,[],[f915,f17]) ).

fof(f17,plain,
    ! [X2] : unit = ld(X2,X2),
    inference(superposition,[],[f2,f5]) ).

fof(f915,plain,
    ! [X3] : ld(ld(X3,unit),ld(op_c,unit)) = ld(op_c,ld(ld(X3,unit),ld(op_c,op_c))),
    inference(forward_demodulation,[],[f914,f122]) ).

fof(f122,plain,
    ! [X0,X1] : ld(ld(X0,unit),ld(X0,X1)) = X1,
    inference(backward_demodulation,[],[f1,f106]) ).

fof(f914,plain,
    ! [X3] : ld(op_c,ld(ld(X3,unit),ld(op_c,op_c))) = ld(ld(op_c,unit),ld(op_c,ld(ld(X3,unit),ld(op_c,unit)))),
    inference(forward_demodulation,[],[f913,f13]) ).

fof(f13,plain,
    ! [X3] : ld(unit,X3) = X3,
    inference(superposition,[],[f1,f6]) ).

fof(f6,axiom,
    ! [X0] : mult(unit,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).

fof(f913,plain,
    ! [X3] : ld(ld(op_c,unit),ld(ld(unit,op_c),ld(ld(X3,unit),ld(op_c,unit)))) = ld(ld(unit,op_c),ld(ld(X3,unit),ld(ld(unit,op_c),op_c))),
    inference(forward_demodulation,[],[f866,f17]) ).

fof(f866,plain,
    ! [X3] : ld(ld(ld(unit,unit),op_c),ld(ld(X3,unit),ld(ld(ld(unit,unit),op_c),op_c))) = ld(ld(op_c,unit),ld(ld(ld(unit,unit),op_c),ld(ld(X3,unit),ld(op_c,unit)))),
    inference(superposition,[],[f136,f188]) ).

fof(f188,plain,
    ! [X0] : ld(ld(op_c,unit),X0) = ld(ld(X0,unit),op_c),
    inference(forward_demodulation,[],[f126,f106]) ).

fof(f126,plain,
    ! [X0] : mult(op_c,X0) = ld(ld(X0,unit),op_c),
    inference(backward_demodulation,[],[f9,f106]) ).

fof(f9,axiom,
    ! [X0] : mult(op_c,X0) = mult(X0,op_c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).

fof(f136,plain,
    ! [X14,X13] : ld(ld(X13,unit),ld(ld(X14,unit),ld(ld(X13,unit),op_c))) = ld(ld(op_c,unit),ld(ld(X13,unit),ld(ld(X14,unit),X13))),
    inference(forward_demodulation,[],[f135,f106]) ).

fof(f135,plain,
    ! [X14,X13] : ld(ld(op_c,unit),mult(X13,ld(ld(X14,unit),X13))) = ld(ld(X13,unit),ld(ld(X14,unit),ld(ld(X13,unit),op_c))),
    inference(forward_demodulation,[],[f134,f106]) ).

fof(f134,plain,
    ! [X14,X13] : ld(ld(op_c,unit),mult(X13,ld(ld(X14,unit),X13))) = ld(ld(X13,unit),ld(ld(X14,unit),mult(X13,op_c))),
    inference(forward_demodulation,[],[f133,f106]) ).

fof(f133,plain,
    ! [X14,X13] : ld(ld(op_c,unit),mult(X13,ld(ld(X14,unit),X13))) = ld(ld(X13,unit),mult(X14,mult(X13,op_c))),
    inference(forward_demodulation,[],[f132,f106]) ).

fof(f132,plain,
    ! [X14,X13] : ld(ld(op_c,unit),mult(X13,ld(ld(X14,unit),X13))) = mult(X13,mult(X14,mult(X13,op_c))),
    inference(forward_demodulation,[],[f118,f106]) ).

fof(f118,plain,
    ! [X14,X13] : mult(X13,mult(X14,mult(X13,op_c))) = mult(op_c,mult(X13,ld(ld(X14,unit),X13))),
    inference(backward_demodulation,[],[f76,f106]) ).

fof(f76,plain,
    ! [X14,X13] : mult(X13,mult(X14,mult(X13,op_c))) = mult(op_c,mult(X13,mult(X14,X13))),
    inference(superposition,[],[f9,f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).

fof(f207,plain,
    ld(ld(a,unit),ld(op_c,unit)) != ld(op_c,a),
    inference(forward_demodulation,[],[f107,f106]) ).

fof(f107,plain,
    ld(op_c,a) != mult(a,ld(op_c,unit)),
    inference(backward_demodulation,[],[f35,f93]) ).

fof(f35,plain,
    mult(a,i(op_c)) != ld(op_c,a),
    inference(backward_demodulation,[],[f10,f24]) ).

fof(f10,axiom,
    mult(i(op_c),a) != mult(a,i(op_c)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : GRP680-1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30  % Computer : n025.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Mon Aug 29 22:54:14 EDT 2022
% 0.09/0.31  % CPUTime    : 
% 0.15/0.46  % (21751)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.15/0.46  % (21752)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)
% 0.15/0.46  % (21738)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.46  % (21738)Instruction limit reached!
% 0.15/0.46  % (21738)------------------------------
% 0.15/0.46  % (21738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.46  % (21738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.46  % (21738)Termination reason: Unknown
% 0.15/0.46  % (21738)Termination phase: Saturation
% 0.15/0.46  
% 0.15/0.46  % (21738)Memory used [KB]: 5373
% 0.15/0.46  % (21738)Time elapsed: 0.086 s
% 0.15/0.46  % (21738)Instructions burned: 2 (million)
% 0.15/0.46  % (21738)------------------------------
% 0.15/0.46  % (21738)------------------------------
% 0.15/0.46  % (21736)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)
% 0.15/0.46  % (21759)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)
% 0.15/0.46  TRYING [1]
% 0.15/0.46  TRYING [2]
% 0.15/0.47  % (21754)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.15/0.47  % (21746)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)
% 0.15/0.47  % (21743)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.15/0.47  TRYING [3]
% 0.15/0.48  % (21744)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)
% 0.15/0.48  TRYING [4]
% 0.15/0.50  % (21737)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.15/0.50  % (21735)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)
% 0.15/0.50  % (21740)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.15/0.51  % (21733)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)
% 0.15/0.52  % (21731)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)
% 0.15/0.52  % (21739)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)
% 0.15/0.52  % (21742)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.15/0.52  TRYING [5]
% 0.15/0.52  % (21737)Instruction limit reached!
% 0.15/0.52  % (21737)------------------------------
% 0.15/0.52  % (21737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52  % (21737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52  % (21737)Termination reason: Unknown
% 0.15/0.52  % (21737)Termination phase: Saturation
% 0.15/0.52  
% 0.15/0.52  % (21737)Memory used [KB]: 5500
% 0.15/0.52  % (21737)Time elapsed: 0.136 s
% 0.15/0.52  % (21737)Instructions burned: 7 (million)
% 0.15/0.52  % (21737)------------------------------
% 0.15/0.52  % (21737)------------------------------
% 0.15/0.52  % (21756)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)
% 0.15/0.52  % (21747)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.15/0.53  TRYING [1]
% 0.15/0.53  TRYING [2]
% 0.15/0.53  TRYING [3]
% 0.15/0.53  % (21736)Instruction limit reached!
% 0.15/0.53  % (21736)------------------------------
% 0.15/0.53  % (21736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53  % (21753)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)
% 0.15/0.53  TRYING [4]
% 0.15/0.53  % (21750)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)
% 0.15/0.53  % (21736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53  % (21736)Termination reason: Unknown
% 0.15/0.53  % (21736)Termination phase: Finite model building constraint generation
% 0.15/0.53  
% 0.15/0.53  % (21736)Memory used [KB]: 7547
% 0.15/0.53  % (21736)Time elapsed: 0.144 s
% 0.15/0.53  % (21736)Instructions burned: 51 (million)
% 0.15/0.53  % (21736)------------------------------
% 0.15/0.53  % (21736)------------------------------
% 0.15/0.54  % (21732)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)
% 0.15/0.54  % (21755)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.15/0.54  % (21748)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.15/0.54  % (21758)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.15/0.55  % (21734)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.15/0.55  % (21745)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)
% 0.15/0.56  % (21759)First to succeed.
% 0.15/0.57  % (21743)Also succeeded, but the first one will report.
% 0.15/0.57  % (21759)Refutation found. Thanks to Tanya!
% 0.15/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.57  % (21759)------------------------------
% 0.15/0.57  % (21759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.57  % (21759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.57  % (21759)Termination reason: Refutation
% 0.15/0.57  
% 0.15/0.57  % (21759)Memory used [KB]: 6268
% 0.15/0.57  % (21759)Time elapsed: 0.177 s
% 0.15/0.57  % (21759)Instructions burned: 51 (million)
% 0.15/0.57  % (21759)------------------------------
% 0.15/0.57  % (21759)------------------------------
% 0.15/0.57  % (21729)Success in time 0.254 s
%------------------------------------------------------------------------------