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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n003.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 1.42s 0.55s
% Output   : Refutation 1.42s
% 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(f445,plain,
    $false,
    inference(subsumption_resolution,[],[f444,f291]) ).

fof(f291,plain,
    ~ greater(sF4,sF5),
    inference(definition_folding,[],[f212,f290,f289]) ).

fof(f289,plain,
    vmul(vd508,vd511) = sF4,
    introduced(function_definition,[]) ).

fof(f290,plain,
    vmul(vd509,vd511) = sF5,
    introduced(function_definition,[]) ).

fof(f212,plain,
    ~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,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)') ).

fof(f444,plain,
    greater(sF4,sF5),
    inference(forward_demodulation,[],[f435,f290]) ).

fof(f435,plain,
    greater(sF4,vmul(vd509,vd511)),
    inference(superposition,[],[f349,f289]) ).

fof(f349,plain,
    ! [X0] : greater(vmul(vd508,X0),vmul(vd509,X0)),
    inference(resolution,[],[f226,f222]) ).

fof(f222,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(f226,plain,
    ! [X2,X0,X1] :
      ( ~ greater(X1,X0)
      | greater(vmul(X1,X2),vmul(X0,X2)) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f168,plain,
    ! [X0,X1,X2] :
      ( ~ greater(X1,X0)
      | greater(vmul(X1,X2),vmul(X0,X2)) ),
    inference(rectify,[],[f128]) ).

fof(f128,plain,
    ! [X1,X0,X2] :
      ( ~ greater(X0,X1)
      | greater(vmul(X0,X2),vmul(X1,X2)) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X2,X0,X1] :
      ( greater(X0,X1)
     => greater(vmul(X0,X2),vmul(X1,X2)) ),
    inference(rectify,[],[f10]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM854+1 : 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 : n003.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 09:05:22 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.18/0.50  % (16657)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)
% 0.18/0.50  % (16665)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)
% 0.18/0.50  % (16661)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.50  % (16650)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50  % (16646)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (16649)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)
% 0.18/0.51  % (16653)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.31/0.52  % (16647)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.52  TRYING [1]
% 1.31/0.52  TRYING [2]
% 1.31/0.52  % (16650)Instruction limit reached!
% 1.31/0.52  % (16650)------------------------------
% 1.31/0.52  % (16650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52  % (16644)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)
% 1.31/0.52  % (16662)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.31/0.52  % (16643)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)
% 1.31/0.52  % (16668)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.31/0.52  % (16672)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)
% 1.31/0.52  % (16647)First to succeed.
% 1.31/0.52  % (16650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52  % (16650)Termination reason: Unknown
% 1.31/0.52  % (16650)Termination phase: Saturation
% 1.31/0.52  
% 1.31/0.52  % (16650)Memory used [KB]: 5628
% 1.31/0.52  % (16650)Time elapsed: 0.128 s
% 1.31/0.52  % (16650)Instructions burned: 7 (million)
% 1.31/0.52  % (16650)------------------------------
% 1.31/0.52  % (16650)------------------------------
% 1.31/0.52  % (16651)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.31/0.52  % (16651)Instruction limit reached!
% 1.31/0.52  % (16651)------------------------------
% 1.31/0.52  % (16651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52  % (16651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52  % (16651)Termination reason: Unknown
% 1.31/0.52  % (16651)Termination phase: Property scanning
% 1.31/0.52  
% 1.31/0.52  % (16651)Memory used [KB]: 1023
% 1.31/0.52  % (16651)Time elapsed: 0.004 s
% 1.31/0.52  % (16651)Instructions burned: 3 (million)
% 1.31/0.52  % (16651)------------------------------
% 1.31/0.52  % (16651)------------------------------
% 1.31/0.53  % (16648)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)
% 1.31/0.53  % (16645)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)
% 1.42/0.53  % (16671)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.42/0.53  TRYING [1]
% 1.42/0.53  % (16664)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.42/0.53  % (16663)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)
% 1.42/0.53  % (16660)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.42/0.53  % (16669)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)
% 1.42/0.53  % (16658)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.42/0.53  % (16670)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)
% 1.42/0.53  % (16667)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.42/0.53  % (16655)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.42/0.53  TRYING [2]
% 1.42/0.53  % (16659)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.54  TRYING [3]
% 1.42/0.54  % (16654)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)
% 1.42/0.54  % (16666)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.42/0.54  % (16656)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.54  % (16652)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.42/0.54  TRYING [3]
% 1.42/0.55  % (16662)Also succeeded, but the first one will report.
% 1.42/0.55  % (16647)Refutation found. Thanks to Tanya!
% 1.42/0.55  % SZS status Theorem for theBenchmark
% 1.42/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.55  % (16647)------------------------------
% 1.42/0.55  % (16647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55  % (16647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55  % (16647)Termination reason: Refutation
% 1.42/0.55  
% 1.42/0.55  % (16647)Memory used [KB]: 5756
% 1.42/0.55  % (16647)Time elapsed: 0.130 s
% 1.42/0.55  % (16647)Instructions burned: 11 (million)
% 1.42/0.55  % (16647)------------------------------
% 1.42/0.55  % (16647)------------------------------
% 1.42/0.55  % (16642)Success in time 0.202 s
%------------------------------------------------------------------------------