TSTP Solution File: NUM293+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM293+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : 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 18:03:57 EDT 2022

% Result   : Theorem 0.19s 0.57s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (  10 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   26 (  13   ~;   9   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   32 (  30   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f929,plain,
    $false,
    inference(resolution,[],[f573,f905]) ).

fof(f905,plain,
    ! [X0,X1] : ~ rdn_translate(X0,rdn_neg(X1)),
    inference(subsumption_resolution,[],[f904,f902]) ).

fof(f902,plain,
    ! [X0] : ~ less(X0,n13),
    inference(cnf_transformation,[],[f455]) ).

fof(f455,plain,
    ! [X0] : ~ less(X0,n13),
    inference(ennf_transformation,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ ? [X0] : less(X0,n13),
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    ? [X0] : less(X0,n13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',something_less_n13) ).

fof(f904,plain,
    ! [X0,X1] :
      ( less(X0,n13)
      | ~ rdn_translate(X0,rdn_neg(X1)) ),
    inference(resolution,[],[f686,f719]) ).

fof(f719,plain,
    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn13) ).

fof(f686,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_translate(X1,rdn_pos(X2))
      | less(X0,X1)
      | ~ rdn_translate(X0,rdn_neg(X3)) ),
    inference(cnf_transformation,[],[f485]) ).

fof(f485,plain,
    ! [X0,X1,X2,X3] :
      ( ~ rdn_translate(X0,rdn_neg(X3))
      | ~ rdn_translate(X1,rdn_pos(X2))
      | less(X0,X1) ),
    inference(rectify,[],[f462]) ).

fof(f462,plain,
    ! [X2,X0,X3,X1] :
      ( ~ rdn_translate(X2,rdn_neg(X1))
      | ~ rdn_translate(X0,rdn_pos(X3))
      | less(X2,X0) ),
    inference(flattening,[],[f461]) ).

fof(f461,plain,
    ! [X0,X2,X1,X3] :
      ( less(X2,X0)
      | ~ rdn_translate(X0,rdn_pos(X3))
      | ~ rdn_translate(X2,rdn_neg(X1)) ),
    inference(ennf_transformation,[],[f427]) ).

fof(f427,plain,
    ! [X0,X2,X1,X3] :
      ( ( rdn_translate(X0,rdn_pos(X3))
        & rdn_translate(X2,rdn_neg(X1)) )
     => less(X2,X0) ),
    inference(rectify,[],[f282]) ).

fof(f282,axiom,
    ! [X1,X9,X0,X10] :
      ( ( rdn_translate(X1,rdn_pos(X10))
        & rdn_translate(X0,rdn_neg(X9)) )
     => less(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_neg_pos) ).

fof(f573,plain,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,axiom,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM293+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : 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 06:41:01 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (31710)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  % (31728)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)
% 0.19/0.52  % (31704)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  % (31702)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)
% 0.19/0.53  % (31712)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (31703)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (31707)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (31721)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)
% 0.19/0.53  % (31707)Instruction limit reached!
% 0.19/0.53  % (31707)------------------------------
% 0.19/0.53  % (31707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (31713)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)
% 0.19/0.53  % (31706)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (31701)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)
% 0.19/0.54  % (31708)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)
% 0.19/0.54  % (31706)Instruction limit reached!
% 0.19/0.54  % (31706)------------------------------
% 0.19/0.54  % (31706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (31706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (31706)Termination reason: Unknown
% 0.19/0.54  % (31706)Termination phase: Property scanning
% 0.19/0.54  
% 0.19/0.54  % (31706)Memory used [KB]: 1279
% 0.19/0.54  % (31706)Time elapsed: 0.006 s
% 0.19/0.54  % (31706)Instructions burned: 10 (million)
% 0.19/0.54  % (31706)------------------------------
% 0.19/0.54  % (31706)------------------------------
% 0.19/0.54  % (31707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (31707)Termination reason: Unknown
% 0.19/0.54  % (31707)Termination phase: Preprocessing 2
% 0.19/0.54  
% 0.19/0.54  % (31707)Memory used [KB]: 1279
% 0.19/0.54  % (31707)Time elapsed: 0.003 s
% 0.19/0.54  % (31707)Instructions burned: 3 (million)
% 0.19/0.54  % (31707)------------------------------
% 0.19/0.54  % (31707)------------------------------
% 0.19/0.54  % (31705)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)
% 0.19/0.54  % (31725)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)
% 0.19/0.54  % (31709)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (31699)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)
% 0.19/0.54  % (31715)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)
% 0.19/0.54  % (31723)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55  % (31717)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55  % (31718)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)
% 0.19/0.55  % (31719)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)
% 0.19/0.55  % (31722)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)
% 0.19/0.55  % (31726)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)
% 0.19/0.55  % (31700)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)
% 0.19/0.55  % (31724)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.55  % (31711)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.55  % (31714)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)
% 0.19/0.56  % (31716)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.56  % (31720)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.56  % (31727)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.56  % (31703)First to succeed.
% 0.19/0.57  % (31703)Refutation found. Thanks to Tanya!
% 0.19/0.57  % SZS status Theorem for theBenchmark
% 0.19/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58  % (31703)------------------------------
% 0.19/0.58  % (31703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (31703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (31703)Termination reason: Refutation
% 0.19/0.58  
% 0.19/0.58  % (31703)Memory used [KB]: 6140
% 0.19/0.58  % (31703)Time elapsed: 0.149 s
% 0.19/0.58  % (31703)Instructions burned: 24 (million)
% 0.19/0.58  % (31703)------------------------------
% 0.19/0.58  % (31703)------------------------------
% 0.19/0.58  % (31698)Success in time 0.228 s
%------------------------------------------------------------------------------