TSTP Solution File: GRP729-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP729-1 : 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 : n019.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 16:23:59 EDT 2022

% Result   : Unsatisfiable 1.41s 0.57s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   27 (  27 unt;   0 def)
%            Number of atoms       :   27 (  26 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   47 (  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f291,plain,
    $false,
    inference(trivial_inequality_removal,[],[f290]) ).

fof(f290,plain,
    unit != unit,
    inference(forward_demodulation,[],[f289,f22]) ).

fof(f22,axiom,
    ! [X2,X3,X0,X1,X4] : unit = asoc(X0,X1,asoc(X2,X3,X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c22) ).

fof(f289,plain,
    unit != asoc(a,b,asoc(rd(unit,d),rd(unit,c),mult(c,d))),
    inference(forward_demodulation,[],[f288,f84]) ).

fof(f84,plain,
    ! [X0,X1] : mult(rd(unit,X0),mult(X0,X1)) = X1,
    inference(backward_demodulation,[],[f6,f80]) ).

fof(f80,plain,
    ! [X8] : rd(unit,X8) = i(X8),
    inference(superposition,[],[f7,f4]) ).

fof(f4,axiom,
    ! [X0] : unit = mult(i(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).

fof(f7,axiom,
    ! [X0,X1] : rd(mult(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).

fof(f6,axiom,
    ! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).

fof(f288,plain,
    unit != asoc(a,b,mult(rd(unit,d),mult(d,asoc(rd(unit,d),rd(unit,c),mult(c,d))))),
    inference(forward_demodulation,[],[f287,f84]) ).

fof(f287,plain,
    unit != asoc(a,b,mult(rd(unit,d),mult(rd(unit,c),mult(c,mult(d,asoc(rd(unit,d),rd(unit,c),mult(c,d))))))),
    inference(forward_demodulation,[],[f286,f128]) ).

fof(f128,plain,
    ! [X8,X6,X9,X7,X5] : mult(mult(X5,X6),asoc(X7,X8,X9)) = mult(X5,mult(X6,asoc(X7,X8,X9))),
    inference(forward_demodulation,[],[f112,f2]) ).

fof(f2,axiom,
    ! [X0] : mult(X0,unit) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).

fof(f112,plain,
    ! [X8,X6,X9,X7,X5] : mult(mult(X5,X6),asoc(X7,X8,X9)) = mult(mult(X5,mult(X6,asoc(X7,X8,X9))),unit),
    inference(superposition,[],[f10,f22]) ).

fof(f10,axiom,
    ! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,mult(X1,X2)),asoc(X0,X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).

fof(f286,plain,
    unit != asoc(a,b,mult(rd(unit,d),mult(rd(unit,c),mult(mult(c,d),asoc(rd(unit,d),rd(unit,c),mult(c,d)))))),
    inference(superposition,[],[f252,f136]) ).

fof(f136,plain,
    ! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(X0,mult(X1,mult(X2,asoc(X0,X1,X2)))),
    inference(forward_demodulation,[],[f129,f128]) ).

fof(f129,plain,
    ! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(X0,mult(mult(X1,X2),asoc(X0,X1,X2))),
    inference(backward_demodulation,[],[f10,f128]) ).

fof(f252,plain,
    unit != asoc(a,b,mult(mult(rd(unit,d),rd(unit,c)),mult(c,d))),
    inference(backward_demodulation,[],[f23,f234]) ).

fof(f234,plain,
    ! [X6,X7] : op_k(X7,X6) = mult(mult(rd(unit,X6),rd(unit,X7)),mult(X7,X6)),
    inference(forward_demodulation,[],[f212,f93]) ).

fof(f93,plain,
    ! [X0,X1] : mult(rd(unit,X0),rd(unit,X1)) = rd(unit,mult(X0,X1)),
    inference(forward_demodulation,[],[f92,f80]) ).

fof(f92,plain,
    ! [X0,X1] : i(mult(X0,X1)) = mult(rd(unit,X0),rd(unit,X1)),
    inference(forward_demodulation,[],[f83,f80]) ).

fof(f83,plain,
    ! [X0,X1] : i(mult(X0,X1)) = mult(rd(unit,X0),i(X1)),
    inference(backward_demodulation,[],[f5,f80]) ).

fof(f5,axiom,
    ! [X0,X1] : i(mult(X0,X1)) = mult(i(X0),i(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).

fof(f212,plain,
    ! [X6,X7] : op_k(X7,X6) = mult(rd(unit,mult(X6,X7)),mult(X7,X6)),
    inference(superposition,[],[f84,f11]) ).

fof(f11,axiom,
    ! [X0,X1] : mult(X0,X1) = mult(mult(X1,X0),op_k(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11) ).

fof(f23,axiom,
    unit != asoc(a,b,op_k(c,d)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP729-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % 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 : n019.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   : Mon Aug 29 22:51:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.45  % (32019)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)
% 0.19/0.45  % (32014)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.47  % (32001)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.48  % (32001)Instruction limit reached!
% 0.19/0.48  % (32001)------------------------------
% 0.19/0.48  % (32001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (32001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (32001)Termination reason: Unknown
% 0.19/0.48  % (32001)Termination phase: Saturation
% 0.19/0.48  
% 0.19/0.48  % (32001)Memory used [KB]: 5500
% 0.19/0.48  % (32001)Time elapsed: 0.060 s
% 0.19/0.48  % (32001)Instructions burned: 7 (million)
% 0.19/0.48  % (32001)------------------------------
% 0.19/0.48  % (32001)------------------------------
% 0.19/0.50  % (31998)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.50  % (32008)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.50  % (32002)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.51  % (31995)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)
% 0.19/0.51  % (32003)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)
% 0.19/0.51  % (31994)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)
% 0.19/0.51  % (32025)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.51  % (32002)Instruction limit reached!
% 0.19/0.51  % (32002)------------------------------
% 0.19/0.51  % (32002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (32002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (32002)Termination reason: Unknown
% 0.19/0.51  % (32002)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (32002)Memory used [KB]: 5373
% 0.19/0.51  % (32002)Time elapsed: 0.004 s
% 0.19/0.51  % (32002)Instructions burned: 2 (million)
% 0.19/0.51  % (32002)------------------------------
% 0.19/0.51  % (32002)------------------------------
% 1.25/0.51  % (32010)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)
% 1.25/0.52  % (32013)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.25/0.52  % (32016)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)
% 1.25/0.52  TRYING [1]
% 1.25/0.52  TRYING [2]
% 1.25/0.52  % (32022)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)
% 1.25/0.52  % (31999)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)
% 1.25/0.53  % (31997)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)
% 1.25/0.53  % (32009)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.41/0.53  % (32000)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)
% 1.41/0.53  % (32004)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.41/0.53  % (32021)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 1.41/0.53  % (32005)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)
% 1.41/0.54  % (32026)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)
% 1.41/0.54  % (31996)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)
% 1.41/0.54  TRYING [1]
% 1.41/0.54  % (32018)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)
% 1.41/0.54  TRYING [2]
% 1.41/0.54  % (32017)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.41/0.54  % (32012)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)
% 1.41/0.54  % (32020)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.41/0.55  % (32015)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)
% 1.41/0.55  % (32011)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)
% 1.41/0.55  TRYING [1]
% 1.41/0.55  TRYING [2]
% 1.41/0.55  TRYING [3]
% 1.41/0.56  % (32024)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)
% 1.41/0.57  % (32026)First to succeed.
% 1.41/0.57  % (32026)Refutation found. Thanks to Tanya!
% 1.41/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.41/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.57  % (32026)------------------------------
% 1.41/0.57  % (32026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.57  % (32026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.57  % (32026)Termination reason: Refutation
% 1.41/0.57  
% 1.41/0.57  % (32026)Memory used [KB]: 5756
% 1.41/0.57  % (32026)Time elapsed: 0.174 s
% 1.41/0.57  % (32026)Instructions burned: 17 (million)
% 1.41/0.57  % (32026)------------------------------
% 1.41/0.57  % (32026)------------------------------
% 1.41/0.57  % (31992)Success in time 0.22 s
%------------------------------------------------------------------------------