TSTP Solution File: GRP516-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP516-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : n004.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 16:22:45 EDT 2022

% Result   : Unsatisfiable 0.19s 0.55s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   18 (  18 unt;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   43 (  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f221,plain,
    $false,
    inference(trivial_inequality_removal,[],[f189]) ).

fof(f189,plain,
    multiply(a,b) != multiply(a,b),
    inference(superposition,[],[f2,f168]) ).

fof(f168,plain,
    ! [X19,X20] : multiply(X19,X20) = multiply(X20,X19),
    inference(forward_demodulation,[],[f147,f140]) ).

fof(f140,plain,
    ! [X12,X13] : multiply(X13,inverse(multiply(X12,inverse(X12)))) = X13,
    inference(superposition,[],[f108,f17]) ).

fof(f17,plain,
    ! [X18,X16] : multiply(X18,multiply(X16,inverse(X18))) = X16,
    inference(forward_demodulation,[],[f16,f9]) ).

fof(f9,plain,
    ! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
    inference(superposition,[],[f3,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

fof(f3,plain,
    ! [X2,X3,X0,X1] : multiply(X3,multiply(X1,inverse(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2))))))) = X0,
    inference(superposition,[],[f1,f1]) ).

fof(f16,plain,
    ! [X18,X16,X17] : multiply(X18,multiply(X16,inverse(multiply(X18,multiply(X17,inverse(X17)))))) = X16,
    inference(superposition,[],[f1,f9]) ).

fof(f108,plain,
    ! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
    inference(superposition,[],[f58,f83]) ).

fof(f83,plain,
    ! [X8,X9,X7] : multiply(multiply(X7,multiply(X9,inverse(multiply(X7,X8)))),X8) = X9,
    inference(superposition,[],[f58,f36]) ).

fof(f36,plain,
    ! [X2,X3,X4] : multiply(multiply(X2,X3),multiply(X4,inverse(X2))) = multiply(X4,X3),
    inference(superposition,[],[f3,f21]) ).

fof(f21,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
    inference(superposition,[],[f3,f17]) ).

fof(f58,plain,
    ! [X3,X0,X1] : multiply(X0,multiply(multiply(X1,multiply(X3,inverse(X0))),inverse(X1))) = X3,
    inference(backward_demodulation,[],[f4,f43]) ).

fof(f43,plain,
    ! [X2,X3,X0,X1] : multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = multiply(X1,multiply(X3,inverse(X0))),
    inference(superposition,[],[f36,f1]) ).

fof(f4,plain,
    ! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))),inverse(X1))) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f147,plain,
    ! [X18,X19,X20] : multiply(X19,multiply(X20,inverse(multiply(X18,inverse(X18))))) = multiply(X20,X19),
    inference(superposition,[],[f36,f108]) ).

fof(f2,axiom,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : GRP516-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 22:27:20 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (28996)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.48  % (28988)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.52  % (28976)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)
% 0.19/0.52  % (28985)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.53  % (28998)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)
% 0.19/0.53  % (28980)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)
% 0.19/0.53  % (28979)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.53  % (28975)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)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  TRYING [2]
% 0.19/0.53  TRYING [3]
% 0.19/0.53  % (28987)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.53  % (28984)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)
% 0.19/0.53  % (28986)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)
% 0.19/0.53  TRYING [4]
% 0.19/0.53  % (28978)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)
% 0.19/0.53  % (28999)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.54  % (28997)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)
% 0.19/0.54  % (28989)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)
% 0.19/0.54  % (28990)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)
% 0.19/0.54  % (28991)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)
% 0.19/0.54  % (29001)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)
% 0.19/0.54  % (29003)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.54  % (29002)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)
% 0.19/0.54  % (29000)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.55  % (28982)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.55  % (28993)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.55  % (28995)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)
% 0.19/0.55  % (28994)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)
% 0.19/0.55  % (28982)Instruction limit reached!
% 0.19/0.55  % (28982)------------------------------
% 0.19/0.55  % (28982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (28982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (28982)Termination reason: Unknown
% 0.19/0.55  % (28982)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (28982)Memory used [KB]: 5500
% 0.19/0.55  % (28982)Time elapsed: 0.154 s
% 0.19/0.55  % (28982)Instructions burned: 7 (million)
% 0.19/0.55  % (28982)------------------------------
% 0.19/0.55  % (28982)------------------------------
% 0.19/0.55  % (28992)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.55  % (28983)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.55  TRYING [1]
% 0.19/0.55  TRYING [2]
% 0.19/0.55  TRYING [3]
% 0.19/0.55  % (28983)Instruction limit reached!
% 0.19/0.55  % (28983)------------------------------
% 0.19/0.55  % (28983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (28983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (28983)Termination reason: Unknown
% 0.19/0.55  % (28983)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (28983)Memory used [KB]: 5373
% 0.19/0.55  % (28983)Time elapsed: 0.136 s
% 0.19/0.55  % (28983)Instructions burned: 3 (million)
% 0.19/0.55  % (28983)------------------------------
% 0.19/0.55  % (28983)------------------------------
% 0.19/0.55  % (28981)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)
% 0.19/0.55  % (28977)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)
% 0.19/0.55  TRYING [1]
% 0.19/0.55  TRYING [2]
% 0.19/0.55  TRYING [3]
% 0.19/0.55  % (28976)First to succeed.
% 0.19/0.55  TRYING [4]
% 0.19/0.55  % (28976)Refutation found. Thanks to Tanya!
% 0.19/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55  % (28976)------------------------------
% 0.19/0.55  % (28976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (28976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (28976)Termination reason: Refutation
% 0.19/0.55  
% 0.19/0.55  % (28976)Memory used [KB]: 5884
% 0.19/0.55  % (28976)Time elapsed: 0.151 s
% 0.19/0.55  % (28976)Instructions burned: 25 (million)
% 0.19/0.55  % (28976)------------------------------
% 0.19/0.55  % (28976)------------------------------
% 0.19/0.55  % (28974)Success in time 0.203 s
%------------------------------------------------------------------------------