TSTP Solution File: ROB002-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ROB002-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n007.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 18:16:07 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   28 (  28 unt;   0 def)
%            Number of atoms       :   28 (  27 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f115,plain,
    $false,
    inference(subsumption_resolution,[],[f114,f13]) ).

fof(f13,plain,
    b != sF6,
    inference(definition_folding,[],[f5,f12,f11,f10,f6,f9,f8,f7,f6]) ).

fof(f7,plain,
    add(a,sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f8,plain,
    negate(sF1) = sF2,
    introduced(function_definition,[]) ).

fof(f9,plain,
    negate(a) = sF3,
    introduced(function_definition,[]) ).

fof(f6,plain,
    negate(b) = sF0,
    introduced(function_definition,[]) ).

fof(f10,plain,
    sF4 = add(sF3,sF0),
    introduced(function_definition,[]) ).

fof(f11,plain,
    negate(sF4) = sF5,
    introduced(function_definition,[]) ).

fof(f12,plain,
    sF6 = add(sF2,sF5),
    introduced(function_definition,[]) ).

fof(f5,axiom,
    b != add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_huntingtons_axiom) ).

fof(f114,plain,
    b = sF6,
    inference(forward_demodulation,[],[f112,f15]) ).

fof(f15,plain,
    b = negate(sF0),
    inference(superposition,[],[f4,f6]) ).

fof(f4,axiom,
    ! [X0] : negate(negate(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',double_negation) ).

fof(f112,plain,
    negate(sF0) = sF6,
    inference(superposition,[],[f4,f107]) ).

fof(f107,plain,
    sF0 = negate(sF6),
    inference(forward_demodulation,[],[f106,f12]) ).

fof(f106,plain,
    sF0 = negate(add(sF2,sF5)),
    inference(forward_demodulation,[],[f105,f1]) ).

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

fof(f105,plain,
    sF0 = negate(add(sF5,sF2)),
    inference(forward_demodulation,[],[f104,f8]) ).

fof(f104,plain,
    sF0 = negate(add(sF5,negate(sF1))),
    inference(forward_demodulation,[],[f103,f1]) ).

fof(f103,plain,
    sF0 = negate(add(negate(sF1),sF5)),
    inference(forward_demodulation,[],[f102,f11]) ).

fof(f102,plain,
    negate(add(negate(sF1),negate(sF4))) = sF0,
    inference(forward_demodulation,[],[f101,f1]) ).

fof(f101,plain,
    sF0 = negate(add(negate(sF4),negate(sF1))),
    inference(forward_demodulation,[],[f100,f7]) ).

fof(f100,plain,
    negate(add(negate(sF4),negate(add(a,sF0)))) = sF0,
    inference(forward_demodulation,[],[f99,f1]) ).

fof(f99,plain,
    negate(add(negate(sF4),negate(add(sF0,a)))) = sF0,
    inference(forward_demodulation,[],[f59,f14]) ).

fof(f14,plain,
    a = negate(sF3),
    inference(superposition,[],[f4,f9]) ).

fof(f59,plain,
    sF0 = negate(add(negate(sF4),negate(add(sF0,negate(sF3))))),
    inference(superposition,[],[f3,f24]) ).

fof(f24,plain,
    sF4 = add(sF0,sF3),
    inference(superposition,[],[f10,f1]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : ROB002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % 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 : n007.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   : Tue Aug 30 12:02:01 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (31003)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (31025)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.50  % (31012)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.50  % (31000)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)
% 0.20/0.50  % (31012)First to succeed.
% 0.20/0.50  % (31015)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)
% 0.20/0.51  % (31005)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)
% 0.20/0.51  % (31006)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (31029)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51  TRYING [1]
% 0.20/0.51  TRYING [2]
% 0.20/0.51  TRYING [3]
% 0.20/0.51  % (31004)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)
% 0.20/0.51  % (31009)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (31020)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)
% 0.20/0.51  TRYING [4]
% 0.20/0.52  % (31006)Instruction limit reached!
% 0.20/0.52  % (31006)------------------------------
% 0.20/0.52  % (31006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (31006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (31006)Termination reason: Unknown
% 0.20/0.52  % (31006)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (31006)Memory used [KB]: 5500
% 0.20/0.52  % (31006)Time elapsed: 0.075 s
% 0.20/0.52  % (31006)Instructions burned: 7 (million)
% 0.20/0.52  % (31006)------------------------------
% 0.20/0.52  % (31006)------------------------------
% 0.20/0.52  % (31008)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)
% 0.20/0.52  % (31002)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)
% 0.20/0.52  % (30999)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)
% 0.20/0.52  % (31011)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (31024)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52  % (31022)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)
% 0.20/0.53  % (31012)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (31012)------------------------------
% 0.20/0.53  % (31012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (31012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (31012)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (31012)Memory used [KB]: 5500
% 0.20/0.53  % (31012)Time elapsed: 0.114 s
% 0.20/0.53  % (31012)Instructions burned: 6 (million)
% 0.20/0.53  % (31012)------------------------------
% 0.20/0.53  % (31012)------------------------------
% 0.20/0.53  % (30997)Success in time 0.178 s
%------------------------------------------------------------------------------