TSTP Solution File: GRP730-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP730-1 : 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 : n022.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 2.03s 0.58s
% Output   : Refutation 2.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   28 (  28 unt;   0 def)
%            Number of atoms       :   28 (  27 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   :   52 (  52   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f430,plain,
    $false,
    inference(trivial_inequality_removal,[],[f429]) ).

fof(f429,plain,
    unit != unit,
    inference(forward_demodulation,[],[f428,f21]) ).

fof(f21,axiom,
    ! [X2,X3,X0,X1,X4] : unit = asoc(asoc(X0,X1,X2),X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21) ).

fof(f428,plain,
    unit != asoc(asoc(rd(unit,b),rd(unit,a),mult(a,b)),c,d),
    inference(forward_demodulation,[],[f427,f52]) ).

fof(f52,plain,
    ! [X0,X1] : mult(rd(unit,X0),mult(X0,X1)) = X1,
    inference(backward_demodulation,[],[f6,f48]) ).

fof(f48,plain,
    ! [X5] : i(X5) = rd(unit,X5),
    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(f427,plain,
    unit != asoc(mult(rd(unit,b),mult(b,asoc(rd(unit,b),rd(unit,a),mult(a,b)))),c,d),
    inference(forward_demodulation,[],[f426,f52]) ).

fof(f426,plain,
    unit != asoc(mult(rd(unit,b),mult(rd(unit,a),mult(a,mult(b,asoc(rd(unit,b),rd(unit,a),mult(a,b)))))),c,d),
    inference(forward_demodulation,[],[f386,f109]) ).

fof(f109,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,[],[f98,f2]) ).

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

fof(f98,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(f22,axiom,
    ! [X2,X3,X0,X1,X4] : unit = asoc(X0,X1,asoc(X2,X3,X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c22) ).

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(f386,plain,
    unit != asoc(mult(rd(unit,b),mult(rd(unit,a),mult(mult(a,b),asoc(rd(unit,b),rd(unit,a),mult(a,b))))),c,d),
    inference(superposition,[],[f206,f115]) ).

fof(f115,plain,
    ! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(X0,mult(X1,mult(X2,asoc(X0,X1,X2)))),
    inference(forward_demodulation,[],[f110,f109]) ).

fof(f110,plain,
    ! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(X0,mult(mult(X1,X2),asoc(X0,X1,X2))),
    inference(backward_demodulation,[],[f10,f109]) ).

fof(f206,plain,
    unit != asoc(mult(mult(rd(unit,b),rd(unit,a)),mult(a,b)),c,d),
    inference(backward_demodulation,[],[f23,f192]) ).

fof(f192,plain,
    ! [X4,X5] : mult(mult(rd(unit,X4),rd(unit,X5)),mult(X5,X4)) = op_k(X5,X4),
    inference(forward_demodulation,[],[f173,f68]) ).

fof(f68,plain,
    ! [X0,X1] : rd(unit,mult(X0,X1)) = mult(rd(unit,X0),rd(unit,X1)),
    inference(forward_demodulation,[],[f67,f48]) ).

fof(f67,plain,
    ! [X0,X1] : i(mult(X0,X1)) = mult(rd(unit,X0),rd(unit,X1)),
    inference(forward_demodulation,[],[f51,f48]) ).

fof(f51,plain,
    ! [X0,X1] : i(mult(X0,X1)) = mult(rd(unit,X0),i(X1)),
    inference(backward_demodulation,[],[f5,f48]) ).

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

fof(f173,plain,
    ! [X4,X5] : mult(rd(unit,mult(X4,X5)),mult(X5,X4)) = op_k(X5,X4),
    inference(superposition,[],[f52,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(op_k(a,b),c,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09  % Problem    : GRP730-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.09  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.29  % Computer : n022.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Mon Aug 29 22:49:11 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.13/0.45  % (8344)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)
% 0.13/0.45  % (8334)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)
% 0.13/0.45  % (8335)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.46  % (8342)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)
% 0.13/0.46  % (8336)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.46  % (8343)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)
% 0.13/0.46  % (8335)Instruction limit reached!
% 0.13/0.46  % (8335)------------------------------
% 0.13/0.46  % (8335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.46  TRYING [1]
% 0.13/0.46  % (8351)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)
% 0.13/0.46  % (8335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.46  % (8335)Termination reason: Unknown
% 0.13/0.46  % (8335)Termination phase: Saturation
% 0.13/0.46  
% 0.13/0.46  % (8335)Memory used [KB]: 5500
% 0.13/0.46  % (8335)Time elapsed: 0.104 s
% 0.13/0.46  % (8335)Instructions burned: 7 (million)
% 0.13/0.46  % (8335)------------------------------
% 0.13/0.46  % (8335)------------------------------
% 0.13/0.47  % (8350)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)
% 0.13/0.47  % (8336)Instruction limit reached!
% 0.13/0.47  % (8336)------------------------------
% 0.13/0.47  % (8336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.47  % (8352)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.13/0.47  % (8336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.47  % (8336)Termination reason: Unknown
% 0.13/0.47  % (8336)Termination phase: Saturation
% 0.13/0.47  
% 0.13/0.47  % (8336)Memory used [KB]: 5373
% 0.13/0.47  % (8336)Time elapsed: 0.111 s
% 0.13/0.47  % (8336)Instructions burned: 3 (million)
% 0.13/0.47  % (8336)------------------------------
% 0.13/0.47  % (8336)------------------------------
% 0.13/0.48  TRYING [2]
% 0.13/0.50  % (8345)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.13/0.50  % (8357)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)
% 0.13/0.50  % (8332)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.13/0.50  % (8330)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)
% 0.13/0.50  % (8333)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)
% 0.13/0.51  % (8337)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)
% 0.13/0.51  TRYING [3]
% 0.13/0.51  % (8353)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.13/0.51  % (8346)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.13/0.51  % (8348)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)
% 0.13/0.52  % (8349)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.13/0.52  % (8338)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.13/0.52  % (8340)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.13/0.52  % (8341)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.13/0.52  % (8334)Instruction limit reached!
% 0.13/0.52  % (8334)------------------------------
% 0.13/0.52  % (8334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.52  % (8334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.52  % (8334)Termination reason: Unknown
% 0.13/0.52  % (8334)Termination phase: Finite model building constraint generation
% 0.13/0.52  
% 0.13/0.52  % (8334)Memory used [KB]: 9466
% 0.13/0.52  % (8334)Time elapsed: 0.143 s
% 0.13/0.52  % (8334)Instructions burned: 53 (million)
% 0.13/0.52  % (8334)------------------------------
% 0.13/0.52  % (8334)------------------------------
% 0.13/0.52  % (8354)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)
% 0.13/0.52  % (8356)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.13/0.54  % (8329)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)
% 0.13/0.54  TRYING [1]
% 0.13/0.54  TRYING [2]
% 1.72/0.56  % (8331)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)
% 1.72/0.56  % (8342)Instruction limit reached!
% 1.72/0.56  % (8342)------------------------------
% 1.72/0.56  % (8342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.56  % (8342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.56  % (8342)Termination reason: Unknown
% 1.72/0.56  % (8342)Termination phase: Saturation
% 1.72/0.56  
% 1.72/0.56  % (8342)Memory used [KB]: 6908
% 1.72/0.56  % (8342)Time elapsed: 0.059 s
% 1.72/0.56  % (8342)Instructions burned: 68 (million)
% 1.72/0.56  % (8342)------------------------------
% 1.72/0.56  % (8342)------------------------------
% 1.72/0.56  % (8330)Instruction limit reached!
% 1.72/0.56  % (8330)------------------------------
% 1.72/0.56  % (8330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.56  % (8330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.56  % (8330)Termination reason: Unknown
% 1.72/0.56  % (8330)Termination phase: Saturation
% 1.72/0.56  
% 1.72/0.56  % (8330)Memory used [KB]: 1535
% 1.72/0.56  % (8330)Time elapsed: 0.203 s
% 1.72/0.56  % (8330)Instructions burned: 37 (million)
% 1.72/0.56  % (8330)------------------------------
% 1.72/0.56  % (8330)------------------------------
% 2.03/0.58  % (8357)First to succeed.
% 2.03/0.58  % (8357)Refutation found. Thanks to Tanya!
% 2.03/0.58  % SZS status Unsatisfiable for theBenchmark
% 2.03/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 2.03/0.59  % (8357)------------------------------
% 2.03/0.59  % (8357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.59  % (8357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.59  % (8357)Termination reason: Refutation
% 2.03/0.59  
% 2.03/0.59  % (8357)Memory used [KB]: 5884
% 2.03/0.59  % (8357)Time elapsed: 0.209 s
% 2.03/0.59  % (8357)Instructions burned: 24 (million)
% 2.03/0.59  % (8357)------------------------------
% 2.03/0.59  % (8357)------------------------------
% 2.03/0.59  % (8327)Success in time 0.281 s
%------------------------------------------------------------------------------