TSTP Solution File: NUM851+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM851+2 : TPTP v8.1.0. Released v4.1.0.
% 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 : n015.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 18:06:59 EDT 2022

% Result   : Theorem 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (  16 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f366,plain,
    $false,
    inference(trivial_inequality_removal,[],[f365]) ).

fof(f365,plain,
    vplus(vmul(vd471,vd469),vmul(vd469,vd473)) != vplus(vmul(vd471,vd469),vmul(vd469,vd473)),
    inference(forward_demodulation,[],[f354,f99]) ).

fof(f99,plain,
    ! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
    inference(rectify,[],[f29]) ).

fof(f29,plain,
    ! [X1,X0] : vmul(X0,X1) = vmul(X1,X0),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X7,X6] : vmul(X6,X7) = vmul(X7,X6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).

fof(f354,plain,
    vplus(vmul(vd471,vd469),vmul(vd469,vd473)) != vplus(vmul(vd469,vd471),vmul(vd469,vd473)),
    inference(superposition,[],[f132,f86]) ).

fof(f86,plain,
    ! [X2,X0,X1] : vplus(vmul(X2,X0),vmul(X2,X1)) = vmul(X2,vplus(X0,X1)),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2] : vplus(vmul(X2,X0),vmul(X2,X1)) = vmul(X2,vplus(X0,X1)),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X4,X5,X3] : vmul(X3,vplus(X4,X5)) = vplus(vmul(X3,X4),vmul(X3,X5)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).

fof(f132,plain,
    vmul(vd469,vplus(vd471,vd473)) != vplus(vmul(vd471,vd469),vmul(vd469,vd473)),
    inference(superposition,[],[f123,f99]) ).

fof(f123,plain,
    vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd469,vd473)),
    inference(backward_demodulation,[],[f84,f99]) ).

fof(f84,plain,
    vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    vmul(vplus(vd471,vd473),vd469) = vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq_conjunct2(conseq(302)), 475, 1)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : NUM851+2 : TPTP v8.1.0. Released v4.1.0.
% 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
% 0.12/0.34  % Computer : n015.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 09:15:20 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.41  % (3218)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)
% 0.19/0.49  % (3203)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.49  % (3219)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.50  % (3213)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)
% 0.19/0.50  % (3205)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)
% 0.19/0.50  % (3197)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)
% 0.19/0.50  % (3211)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)
% 0.19/0.51  TRYING [1]
% 0.19/0.51  TRYING [2]
% 0.19/0.51  % (3218)Instruction limit reached!
% 0.19/0.51  % (3218)------------------------------
% 0.19/0.51  % (3218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (3218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (3218)Termination reason: Unknown
% 0.19/0.51  % (3218)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (3218)Memory used [KB]: 3709
% 0.19/0.51  % (3218)Time elapsed: 0.103 s
% 0.19/0.51  % (3218)Instructions burned: 179 (million)
% 0.19/0.51  % (3218)------------------------------
% 0.19/0.51  % (3218)------------------------------
% 0.19/0.51  TRYING [3]
% 0.19/0.52  % (3196)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)
% 0.19/0.52  % (3213)First to succeed.
% 0.19/0.52  % (3191)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)
% 0.19/0.53  % (3213)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Theorem for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (3213)------------------------------
% 0.19/0.53  % (3213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (3213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (3213)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (3213)Memory used [KB]: 1151
% 0.19/0.53  % (3213)Time elapsed: 0.066 s
% 0.19/0.53  % (3213)Instructions burned: 17 (million)
% 0.19/0.53  % (3213)------------------------------
% 0.19/0.53  % (3213)------------------------------
% 0.19/0.53  % (3190)Success in time 0.175 s
%------------------------------------------------------------------------------