TSTP Solution File: NUM854+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM854+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 : n019.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 18:07:00 EDT 2022

% Result   : Theorem 1.29s 0.53s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (  13 unt;   0 def)
%            Number of atoms       :   23 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   7   ~;   3   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f201,plain,
    $false,
    inference(subsumption_resolution,[],[f200,f128]) ).

fof(f128,plain,
    ~ greater(sF4,sF5),
    inference(definition_folding,[],[f115,f127,f126]) ).

fof(f126,plain,
    vmul(vd508,vd511) = sF4,
    introduced(function_definition,[]) ).

fof(f127,plain,
    vmul(vd509,vd511) = sF5,
    introduced(function_definition,[]) ).

fof(f115,plain,
    ~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    greater(vmul(vd508,vd511),vmul(vd509,vd511)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(315), 514, 0)') ).

fof(f200,plain,
    greater(sF4,sF5),
    inference(forward_demodulation,[],[f188,f127]) ).

fof(f188,plain,
    greater(sF4,vmul(vd509,vd511)),
    inference(superposition,[],[f181,f126]) ).

fof(f181,plain,
    ! [X0] : greater(vmul(vd508,X0),vmul(vd509,X0)),
    inference(resolution,[],[f109,f90]) ).

fof(f90,plain,
    greater(vd508,vd509),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    greater(vd508,vd509),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(314), 510, 0)') ).

fof(f109,plain,
    ! [X2,X0,X1] :
      ( ~ greater(X1,X2)
      | greater(vmul(X1,X0),vmul(X2,X0)) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1,X2] :
      ( greater(vmul(X1,X0),vmul(X2,X0))
      | ~ greater(X1,X2) ),
    inference(rectify,[],[f63]) ).

fof(f63,plain,
    ! [X1,X2,X0] :
      ( greater(vmul(X2,X1),vmul(X0,X1))
      | ~ greater(X2,X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X2,X1] :
      ( greater(X2,X0)
     => greater(vmul(X2,X1),vmul(X0,X1)) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X15,X9,X14] :
      ( greater(X14,X15)
     => greater(vmul(X14,X9),vmul(X15,X9)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(299, 0), 2)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM854+2 : TPTP v8.1.0. Released v4.1.0.
% 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
% 0.13/0.34  % Computer : n019.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 09:08:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (16927)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)
% 0.19/0.50  % (16934)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (16950)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51  % (16937)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)
% 0.19/0.51  % (16934)Instruction limit reached!
% 0.19/0.51  % (16934)------------------------------
% 0.19/0.51  % (16934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (16934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (16934)Termination reason: Unknown
% 0.19/0.51  % (16934)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (16934)Memory used [KB]: 895
% 0.19/0.51  % (16934)Time elapsed: 0.003 s
% 0.19/0.51  % (16934)Instructions burned: 3 (million)
% 0.19/0.51  % (16934)------------------------------
% 0.19/0.51  % (16934)------------------------------
% 0.19/0.51  % (16948)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)
% 1.29/0.51  % (16939)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.29/0.52  % (16940)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)
% 1.29/0.52  % (16955)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.29/0.52  % (16930)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.53  % (16928)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.29/0.53  % (16930)First to succeed.
% 1.29/0.53  % (16930)Refutation found. Thanks to Tanya!
% 1.29/0.53  % SZS status Theorem for theBenchmark
% 1.29/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.53  % (16930)------------------------------
% 1.29/0.53  % (16930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.53  % (16930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.53  % (16930)Termination reason: Refutation
% 1.29/0.53  
% 1.29/0.53  % (16930)Memory used [KB]: 5500
% 1.29/0.53  % (16930)Time elapsed: 0.130 s
% 1.29/0.53  % (16930)Instructions burned: 6 (million)
% 1.29/0.53  % (16930)------------------------------
% 1.29/0.53  % (16930)------------------------------
% 1.29/0.53  % (16925)Success in time 0.179 s
%------------------------------------------------------------------------------