TSTP Solution File: GRP525-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP525-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n016.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 16:22:46 EDT 2022

% Result   : Unsatisfiable 1.51s 0.54s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (  22 unt;   0 def)
%            Number of atoms       :   22 (  21 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    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f70,plain,
    $false,
    inference(subsumption_resolution,[],[f69,f9]) ).

fof(f9,plain,
    sF3 != sF1,
    inference(definition_folding,[],[f4,f8,f7,f6,f5]) ).

fof(f5,plain,
    inverse(a1) = sF0,
    introduced(function_definition,[]) ).

fof(f6,plain,
    multiply(sF0,a1) = sF1,
    introduced(function_definition,[]) ).

fof(f7,plain,
    inverse(b1) = sF2,
    introduced(function_definition,[]) ).

fof(f8,plain,
    sF3 = multiply(sF2,b1),
    introduced(function_definition,[]) ).

fof(f4,axiom,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).

fof(f69,plain,
    sF3 = sF1,
    inference(forward_demodulation,[],[f68,f47]) ).

fof(f47,plain,
    ! [X0] : sF1 = divide(X0,X0),
    inference(backward_demodulation,[],[f28,f46]) ).

fof(f46,plain,
    ! [X2,X1] : divide(X2,multiply(divide(X2,X1),X1)) = sF1,
    inference(forward_demodulation,[],[f41,f10]) ).

fof(f10,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(forward_demodulation,[],[f2,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).

fof(f2,axiom,
    ! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

fof(f41,plain,
    ! [X2,X1] : divide(X2,divide(divide(X2,X1),inverse(X1))) = sF1,
    inference(superposition,[],[f1,f34]) ).

fof(f34,plain,
    ! [X0] : inverse(X0) = divide(sF1,X0),
    inference(superposition,[],[f3,f33]) ).

fof(f33,plain,
    divide(sF0,sF0) = sF1,
    inference(superposition,[],[f6,f12]) ).

fof(f12,plain,
    ! [X0] : multiply(X0,a1) = divide(X0,sF0),
    inference(superposition,[],[f10,f5]) ).

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

fof(f28,plain,
    ! [X2,X0,X1] : divide(X2,multiply(divide(X2,X1),X1)) = divide(X0,X0),
    inference(forward_demodulation,[],[f20,f10]) ).

fof(f20,plain,
    ! [X2,X0,X1] : divide(X2,divide(divide(X2,X1),inverse(X1))) = divide(X0,X0),
    inference(superposition,[],[f1,f3]) ).

fof(f68,plain,
    sF3 = divide(sF2,sF2),
    inference(superposition,[],[f8,f13]) ).

fof(f13,plain,
    ! [X1] : multiply(X1,b1) = divide(X1,sF2),
    inference(superposition,[],[f10,f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP525-1 : TPTP v8.1.0. Released v2.6.0.
% 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
% 0.13/0.33  % Computer : n016.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 22:53:30 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.50  % (19819)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)
% 0.19/0.51  % (19810)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)
% 0.19/0.51  % (19826)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)
% 0.19/0.52  % (19811)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (19819)First to succeed.
% 1.41/0.52  % (19809)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)
% 1.41/0.52  % (19818)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)
% 1.41/0.52  % (19808)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.52  TRYING [1]
% 1.41/0.52  TRYING [2]
% 1.41/0.52  TRYING [3]
% 1.41/0.53  % (19827)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)
% 1.41/0.53  TRYING [4]
% 1.41/0.53  % (19804)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 (2999ds/191324Mi)
% 1.41/0.53  % (19816)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.41/0.53  % (19807)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)
% 1.41/0.53  % (19811)Instruction limit reached!
% 1.41/0.53  % (19811)------------------------------
% 1.41/0.53  % (19811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.53  % (19811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.53  % (19811)Termination reason: Unknown
% 1.41/0.53  % (19811)Termination phase: Saturation
% 1.41/0.53  
% 1.41/0.53  % (19811)Memory used [KB]: 5500
% 1.41/0.53  % (19811)Time elapsed: 0.129 s
% 1.41/0.53  % (19811)Instructions burned: 8 (million)
% 1.41/0.53  % (19811)------------------------------
% 1.41/0.53  % (19811)------------------------------
% 1.51/0.54  % (19819)Refutation found. Thanks to Tanya!
% 1.51/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.51/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.54  % (19819)------------------------------
% 1.51/0.54  % (19819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54  % (19819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54  % (19819)Termination reason: Refutation
% 1.51/0.54  
% 1.51/0.54  % (19819)Memory used [KB]: 1023
% 1.51/0.54  % (19819)Time elapsed: 0.119 s
% 1.51/0.54  % (19819)Instructions burned: 3 (million)
% 1.51/0.54  % (19819)------------------------------
% 1.51/0.54  % (19819)------------------------------
% 1.51/0.54  % (19803)Success in time 0.194 s
%------------------------------------------------------------------------------