TSTP Solution File: RNG128-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG128-1 : TPTP v8.1.0. Released v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n025.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 18:15:11 EDT 2022

% Result   : Unsatisfiable 1.87s 0.60s
% Output   : Refutation 1.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   36 (  36 unt;   0 def)
%            Number of atoms       :   36 (  35 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    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   49 (  49   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f512,plain,
    $false,
    inference(trivial_inequality_removal,[],[f511]) ).

fof(f511,plain,
    mult(x0,x1) != mult(x0,x1),
    inference(backward_demodulation,[],[f8,f489]) ).

fof(f489,plain,
    ! [X2,X3] : add(X2,X3) = mult(X2,X3),
    inference(forward_demodulation,[],[f477,f154]) ).

fof(f154,plain,
    ! [X4,X5] : mult(X4,X5) = mult(X4,add(X4,X5)),
    inference(forward_demodulation,[],[f152,f113]) ).

fof(f113,plain,
    ! [X2,X3] : mult(X2,X3) = add(X2,mult(X2,X3)),
    inference(forward_demodulation,[],[f109,f5]) ).

fof(f5,axiom,
    ! [X0] : add(zero,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_004) ).

fof(f109,plain,
    ! [X2,X3] : mult(X2,add(zero,X3)) = add(X2,mult(X2,X3)),
    inference(superposition,[],[f4,f95]) ).

fof(f95,plain,
    ! [X0] : mult(X0,zero) = X0,
    inference(backward_demodulation,[],[f6,f94]) ).

fof(f94,plain,
    zero = unit,
    inference(forward_demodulation,[],[f88,f9]) ).

fof(f9,plain,
    ! [X0] : add(X0,zero) = X0,
    inference(superposition,[],[f2,f5]) ).

fof(f2,axiom,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_001) ).

fof(f88,plain,
    zero = add(unit,zero),
    inference(superposition,[],[f84,f6]) ).

fof(f84,plain,
    ! [X0] : mult(zero,X0) = add(unit,mult(zero,X0)),
    inference(forward_demodulation,[],[f74,f5]) ).

fof(f74,plain,
    ! [X0] : add(unit,mult(zero,add(zero,X0))) = mult(zero,X0),
    inference(superposition,[],[f49,f4]) ).

fof(f49,plain,
    ! [X0] : add(unit,add(mult(zero,zero),X0)) = X0,
    inference(forward_demodulation,[],[f48,f5]) ).

fof(f48,plain,
    ! [X0] : add(zero,X0) = add(unit,add(mult(zero,zero),X0)),
    inference(superposition,[],[f1,f27]) ).

fof(f27,plain,
    zero = add(unit,mult(zero,zero)),
    inference(superposition,[],[f7,f5]) ).

fof(f7,axiom,
    ! [X0] : add(unit,add(X0,mult(X0,X0))) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_006) ).

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

fof(f6,axiom,
    ! [X0] : mult(X0,unit) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_005) ).

fof(f4,axiom,
    ! [X2,X0,X1] : mult(X0,add(X1,X2)) = add(mult(X0,X1),mult(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_003) ).

fof(f152,plain,
    ! [X4,X5] : mult(X4,add(X4,X5)) = add(X4,mult(X4,X5)),
    inference(superposition,[],[f4,f141]) ).

fof(f141,plain,
    ! [X0] : mult(X0,X0) = X0,
    inference(backward_demodulation,[],[f104,f113]) ).

fof(f104,plain,
    ! [X0] : add(X0,mult(X0,X0)) = X0,
    inference(forward_demodulation,[],[f96,f5]) ).

fof(f96,plain,
    ! [X0] : add(zero,add(X0,mult(X0,X0))) = X0,
    inference(backward_demodulation,[],[f7,f94]) ).

fof(f477,plain,
    ! [X2,X3] : add(X2,X3) = mult(X2,add(X2,X3)),
    inference(superposition,[],[f3,f268]) ).

fof(f268,plain,
    ! [X2,X3] : mult(add(X2,X3),X2) = add(X2,X3),
    inference(forward_demodulation,[],[f265,f141]) ).

fof(f265,plain,
    ! [X2,X3] : mult(add(X2,X3),X2) = mult(add(X2,X3),add(X2,X3)),
    inference(superposition,[],[f153,f157]) ).

fof(f157,plain,
    ! [X0,X1] : add(X0,X1) = add(X0,add(X0,X1)),
    inference(superposition,[],[f1,f134]) ).

fof(f134,plain,
    ! [X4] : add(X4,X4) = X4,
    inference(superposition,[],[f112,f95]) ).

fof(f112,plain,
    ! [X0,X1] : mult(X0,X1) = add(mult(X0,X1),X0),
    inference(forward_demodulation,[],[f108,f9]) ).

fof(f108,plain,
    ! [X0,X1] : mult(X0,add(X1,zero)) = add(mult(X0,X1),X0),
    inference(superposition,[],[f4,f95]) ).

fof(f153,plain,
    ! [X2,X3] : mult(X2,add(X3,X2)) = mult(X2,X3),
    inference(forward_demodulation,[],[f151,f112]) ).

fof(f151,plain,
    ! [X2,X3] : mult(X2,add(X3,X2)) = add(mult(X2,X3),X2),
    inference(superposition,[],[f4,f141]) ).

fof(f3,axiom,
    ! [X0,X1] : mult(X0,X1) = mult(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_002) ).

fof(f8,axiom,
    add(x0,x1) != mult(x0,x1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : RNG128-1 : TPTP v8.1.0. Released v5.4.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n025.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 12:25:30 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.54  % (5259)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.54  % (5251)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.54  % (5258)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.21/0.54  % (5250)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.54  % (5249)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55  % (5249)Instruction limit reached!
% 0.21/0.55  % (5249)------------------------------
% 0.21/0.55  % (5249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (5267)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 0.21/0.55  % (5265)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.21/0.55  % (5257)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.21/0.55  % (5249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (5249)Termination reason: Unknown
% 0.21/0.55  % (5249)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (5249)Memory used [KB]: 5500
% 0.21/0.55  % (5249)Time elapsed: 0.132 s
% 0.21/0.55  % (5249)Instructions burned: 7 (million)
% 0.21/0.55  % (5249)------------------------------
% 0.21/0.55  % (5249)------------------------------
% 0.21/0.56  % (5266)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 0.21/0.58  % (5258)First to succeed.
% 0.21/0.59  % (5248)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.87/0.60  % (5250)Instruction limit reached!
% 1.87/0.60  % (5250)------------------------------
% 1.87/0.60  % (5250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.60  % (5258)Refutation found. Thanks to Tanya!
% 1.87/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.87/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.87/0.60  % (5258)------------------------------
% 1.87/0.60  % (5258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.60  % (5258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.60  % (5258)Termination reason: Refutation
% 1.87/0.60  
% 1.87/0.60  % (5258)Memory used [KB]: 5756
% 1.87/0.60  % (5258)Time elapsed: 0.177 s
% 1.87/0.60  % (5258)Instructions burned: 22 (million)
% 1.87/0.60  % (5258)------------------------------
% 1.87/0.60  % (5258)------------------------------
% 1.87/0.60  % (5242)Success in time 0.247 s
%------------------------------------------------------------------------------