TSTP Solution File: ROB011-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ROB011-1 : 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 : n001.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 18:16:09 EDT 2022

% Result   : Unsatisfiable 0.21s 0.58s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   31 (  31 unt;   0 def)
%            Number of atoms       :   31 (  30 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  10 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f132,plain,
    $false,
    inference(subsumption_resolution,[],[f131,f16]) ).

fof(f16,plain,
    c != sF5,
    inference(definition_folding,[],[f9,f15,f14,f13,f12,f11,f10]) ).

fof(f10,plain,
    add(a,c) = sF0,
    introduced(function_definition,[]) ).

fof(f11,plain,
    multiply(one,sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f12,plain,
    add(b,sF1) = sF2,
    introduced(function_definition,[]) ).

fof(f13,plain,
    negate(sF2) = sF3,
    introduced(function_definition,[]) ).

fof(f14,plain,
    sF4 = add(a,sF3),
    introduced(function_definition,[]) ).

fof(f15,plain,
    negate(sF4) = sF5,
    introduced(function_definition,[]) ).

fof(f9,axiom,
    c != negate(add(a,negate(add(b,multiply(one,add(a,c)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_base_step) ).

fof(f131,plain,
    c = sF5,
    inference(backward_demodulation,[],[f15,f130]) ).

fof(f130,plain,
    c = negate(sF4),
    inference(forward_demodulation,[],[f129,f14]) ).

fof(f129,plain,
    c = negate(add(a,sF3)),
    inference(forward_demodulation,[],[f128,f13]) ).

fof(f128,plain,
    c = negate(add(a,negate(sF2))),
    inference(forward_demodulation,[],[f127,f18]) ).

fof(f18,plain,
    sF2 = add(b,sF0),
    inference(backward_demodulation,[],[f12,f17]) ).

fof(f17,plain,
    sF0 = sF1,
    inference(forward_demodulation,[],[f11,f4]) ).

fof(f4,axiom,
    ! [X0] : multiply(one,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_times_x) ).

fof(f127,plain,
    c = negate(add(a,negate(add(b,sF0)))),
    inference(forward_demodulation,[],[f126,f1]) ).

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

fof(f126,plain,
    c = negate(add(a,negate(add(sF0,b)))),
    inference(forward_demodulation,[],[f125,f32]) ).

fof(f32,plain,
    ! [X1] : add(sF0,X1) = add(a,add(X1,c)),
    inference(superposition,[],[f22,f1]) ).

fof(f22,plain,
    ! [X10] : add(a,add(c,X10)) = add(sF0,X10),
    inference(superposition,[],[f2,f10]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_add) ).

fof(f125,plain,
    c = negate(add(a,negate(add(a,add(b,c))))),
    inference(forward_demodulation,[],[f124,f26]) ).

fof(f26,plain,
    ! [X8,X6,X7] : add(X6,add(X7,X8)) = add(X8,add(X6,X7)),
    inference(superposition,[],[f2,f1]) ).

fof(f124,plain,
    c = negate(add(a,negate(add(b,add(c,a))))),
    inference(forward_demodulation,[],[f123,f26]) ).

fof(f123,plain,
    c = negate(add(a,negate(add(c,add(a,b))))),
    inference(forward_demodulation,[],[f120,f1]) ).

fof(f120,plain,
    c = negate(add(negate(add(c,add(a,b))),a)),
    inference(superposition,[],[f3,f118]) ).

fof(f118,plain,
    a = negate(add(c,negate(add(a,b)))),
    inference(forward_demodulation,[],[f108,f1]) ).

fof(f108,plain,
    a = negate(add(negate(add(a,b)),c)),
    inference(superposition,[],[f3,f8]) ).

fof(f8,axiom,
    negate(add(a,negate(b))) = c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ROB011-1 : TPTP v8.1.0. Released v1.0.0.
% 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
% 0.12/0.34  % Computer : n001.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   : Tue Aug 30 12:39:46 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.21/0.54  % (9304)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)
% 0.21/0.54  % (9307)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)
% 0.21/0.55  % (9328)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 (2999ds/177Mi)
% 0.21/0.55  % (9323)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)
% 0.21/0.55  TRYING [1]
% 0.21/0.55  TRYING [2]
% 0.21/0.56  % (9315)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)
% 0.21/0.56  TRYING [3]
% 0.21/0.56  % (9328)First to succeed.
% 0.21/0.56  % (9320)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 (2999ds/100Mi)
% 0.21/0.57  TRYING [4]
% 0.21/0.57  % (9311)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.57  % (9309)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.58  % (9310)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)
% 0.21/0.58  % (9309)Instruction limit reached!
% 0.21/0.58  % (9309)------------------------------
% 0.21/0.58  % (9309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (9309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (9309)Termination reason: Unknown
% 0.21/0.58  % (9309)Termination phase: Saturation
% 0.21/0.58  
% 0.21/0.58  % (9309)Memory used [KB]: 5373
% 0.21/0.58  % (9309)Time elapsed: 0.160 s
% 0.21/0.58  % (9309)Instructions burned: 3 (million)
% 0.21/0.58  % (9309)------------------------------
% 0.21/0.58  % (9309)------------------------------
% 0.21/0.58  % (9320)Also succeeded, but the first one will report.
% 0.21/0.58  % (9328)Refutation found. Thanks to Tanya!
% 0.21/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.58  % (9328)------------------------------
% 0.21/0.58  % (9328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (9328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (9328)Termination reason: Refutation
% 0.21/0.58  
% 0.21/0.58  % (9328)Memory used [KB]: 1151
% 0.21/0.58  % (9328)Time elapsed: 0.154 s
% 0.21/0.58  % (9328)Instructions burned: 10 (million)
% 0.21/0.58  % (9328)------------------------------
% 0.21/0.58  % (9328)------------------------------
% 0.21/0.58  % (9300)Success in time 0.23 s
%------------------------------------------------------------------------------