TSTP Solution File: NUM854+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM854+1 : 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_uns --cores 0 -t %d %s

% Computer : n014.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 18:02:36 EDT 2022

% Result   : Theorem 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   18 (   0 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  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f334,plain,
    $false,
    inference(subsumption_resolution,[],[f328,f248]) ).

fof(f248,plain,
    greater(vd508,vd509),
    inference(cnf_transformation,[],[f4]) ).

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

fof(f328,plain,
    ~ greater(vd508,vd509),
    inference(resolution,[],[f272,f217]) ).

fof(f217,plain,
    ! [X2,X0,X1] :
      ( greater(vmul(X2,X0),vmul(X1,X0))
      | ~ greater(X2,X1) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f165,plain,
    ! [X0,X1,X2] :
      ( greater(vmul(X2,X0),vmul(X1,X0))
      | ~ greater(X2,X1) ),
    inference(rectify,[],[f126]) ).

fof(f126,plain,
    ! [X1,X2,X0] :
      ( greater(vmul(X0,X1),vmul(X2,X1))
      | ~ greater(X0,X2) ),
    inference(ennf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0,X2,X1] :
      ( greater(X0,X2)
     => greater(vmul(X0,X1),vmul(X2,X1)) ),
    inference(rectify,[],[f10]) ).

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

fof(f272,plain,
    ~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,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/sandbox/benchmark/theBenchmark.p','holds(conjunct1(315), 514, 0)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM854+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n014.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 09:05:18 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.18/0.50  % (5771)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.18/0.50  % (5783)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.50  % (5775)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50  % (5774)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (5773)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.51  % (5775)Instruction limit reached!
% 0.18/0.51  % (5775)------------------------------
% 0.18/0.51  % (5775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (5775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (5775)Termination reason: Unknown
% 0.18/0.51  % (5775)Termination phase: Property scanning
% 0.18/0.51  
% 0.18/0.51  % (5775)Memory used [KB]: 1535
% 0.18/0.51  % (5775)Time elapsed: 0.004 s
% 0.18/0.51  % (5775)Instructions burned: 3 (million)
% 0.18/0.51  % (5775)------------------------------
% 0.18/0.51  % (5775)------------------------------
% 0.18/0.51  % (5761)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.51  % (5771)First to succeed.
% 0.18/0.51  % (5767)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.51  % (5772)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51  % (5787)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.51  % (5764)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (5772)Instruction limit reached!
% 0.18/0.51  % (5772)------------------------------
% 0.18/0.51  % (5772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (5788)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.51  % (5772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (5772)Termination reason: Unknown
% 0.18/0.51  % (5772)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (5772)Memory used [KB]: 6140
% 0.18/0.51  % (5772)Time elapsed: 0.108 s
% 0.18/0.51  % (5772)Instructions burned: 7 (million)
% 0.18/0.51  % (5772)------------------------------
% 0.18/0.51  % (5772)------------------------------
% 0.18/0.51  % (5766)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.52  % (5780)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.52  % (5766)Refutation not found, incomplete strategy% (5766)------------------------------
% 0.18/0.52  % (5766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (5766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (5766)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (5766)Memory used [KB]: 1663
% 0.18/0.52  % (5766)Time elapsed: 0.125 s
% 0.18/0.52  % (5766)Instructions burned: 4 (million)
% 0.18/0.52  % (5766)------------------------------
% 0.18/0.52  % (5766)------------------------------
% 0.18/0.52  % (5771)Refutation found. Thanks to Tanya!
% 0.18/0.52  % SZS status Theorem for theBenchmark
% 0.18/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52  % (5771)------------------------------
% 0.18/0.52  % (5771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (5771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (5771)Termination reason: Refutation
% 0.18/0.52  
% 0.18/0.52  % (5771)Memory used [KB]: 6140
% 0.18/0.52  % (5771)Time elapsed: 0.115 s
% 0.18/0.52  % (5771)Instructions burned: 3 (million)
% 0.18/0.52  % (5771)------------------------------
% 0.18/0.52  % (5771)------------------------------
% 0.18/0.52  % (5760)Success in time 0.174 s
%------------------------------------------------------------------------------