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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --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 18:02:35 EDT 2022

% Result   : Theorem 0.19s 0.54s
% 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   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f121,plain,
    $false,
    inference(trivial_inequality_removal,[],[f120]) ).

fof(f120,plain,
    vplus(vmul(vd471,vd469),vmul(vd469,vd473)) != vplus(vmul(vd471,vd469),vmul(vd469,vd473)),
    inference(forward_demodulation,[],[f119,f79]) ).

fof(f79,plain,
    ! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] : 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(f119,plain,
    vplus(vmul(vd469,vd471),vmul(vd469,vd473)) != vplus(vmul(vd471,vd469),vmul(vd469,vd473)),
    inference(superposition,[],[f117,f85]) ).

fof(f85,plain,
    ! [X2,X0,X1] : vplus(vmul(X1,X2),vmul(X1,X0)) = vmul(X1,vplus(X2,X0)),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1,X2] : vplus(vmul(X1,X2),vmul(X1,X0)) = vmul(X1,vplus(X2,X0)),
    inference(rectify,[],[f30]) ).

fof(f30,plain,
    ! [X1,X2,X0] : 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(f117,plain,
    vplus(vmul(vd471,vd469),vmul(vd469,vd473)) != vmul(vd469,vplus(vd471,vd473)),
    inference(superposition,[],[f116,f79]) ).

fof(f116,plain,
    vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd469,vd473)),
    inference(forward_demodulation,[],[f92,f79]) ).

fof(f92,plain,
    vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,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
% 0.06/0.12  % Problem    : NUM851+2 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % 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 : n001.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 09:25:01 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (21044)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.51  % (21015)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52  % (21036)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (21035)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.53  % (21019)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53  % (21028)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)
% 0.19/0.53  % (21022)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53  % (21024)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53  % (21020)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)
% 0.19/0.53  % (21037)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)
% 0.19/0.53  % (21023)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.53  % (21025)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)
% 0.19/0.53  % (21020)First to succeed.
% 0.19/0.53  % (21041)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)
% 0.19/0.53  % (21025)Refutation not found, incomplete strategy% (21025)------------------------------
% 0.19/0.53  % (21025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (21025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (21025)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (21025)Memory used [KB]: 6012
% 0.19/0.53  % (21025)Time elapsed: 0.133 s
% 0.19/0.53  % (21025)Instructions burned: 2 (million)
% 0.19/0.53  % (21025)------------------------------
% 0.19/0.53  % (21025)------------------------------
% 0.19/0.53  % (21029)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)
% 0.19/0.54  % (21041)Refutation not found, incomplete strategy% (21041)------------------------------
% 0.19/0.54  % (21041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (21041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (21041)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (21041)Memory used [KB]: 6140
% 0.19/0.54  % (21041)Time elapsed: 0.139 s
% 0.19/0.54  % (21041)Instructions burned: 5 (million)
% 0.19/0.54  % (21041)------------------------------
% 0.19/0.54  % (21041)------------------------------
% 0.19/0.54  % (21018)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)
% 0.19/0.54  % (21034)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)
% 0.19/0.54  % (21033)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54  % (21034)Refutation not found, incomplete strategy% (21034)------------------------------
% 0.19/0.54  % (21034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (21034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (21034)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (21034)Memory used [KB]: 6012
% 0.19/0.54  % (21034)Time elapsed: 0.138 s
% 0.19/0.54  % (21034)Instructions burned: 3 (million)
% 0.19/0.54  % (21034)------------------------------
% 0.19/0.54  % (21034)------------------------------
% 0.19/0.54  % (21033)Also succeeded, but the first one will report.
% 0.19/0.54  % (21020)Refutation found. Thanks to Tanya!
% 0.19/0.54  % SZS status Theorem for theBenchmark
% 0.19/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54  % (21020)------------------------------
% 0.19/0.54  % (21020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (21020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (21020)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (21020)Memory used [KB]: 1535
% 0.19/0.54  % (21020)Time elapsed: 0.133 s
% 0.19/0.54  % (21020)Instructions burned: 2 (million)
% 0.19/0.54  % (21020)------------------------------
% 0.19/0.54  % (21020)------------------------------
% 0.19/0.54  % (21014)Success in time 0.19 s
%------------------------------------------------------------------------------