TSTP Solution File: SWV377+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV377+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n005.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 18:56:39 EDT 2022

% Result   : Theorem 1.47s 0.55s
% Output   : Refutation 1.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (  13 unt;   0 def)
%            Number of atoms       :   41 (  10 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   35 (  20   ~;   3   |;   5   &)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :   66 (  54   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f273,plain,
    $false,
    inference(resolution,[],[f266,f203]) ).

fof(f203,plain,
    ok(insert_cpq(triple(sK1,sK2,bad),sK3)),
    inference(backward_demodulation,[],[f190,f201]) ).

fof(f201,plain,
    bad = sK0,
    inference(resolution,[],[f152,f191]) ).

fof(f191,plain,
    ~ ok(triple(sK1,sK2,sK0)),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ( ~ ok(triple(sK1,sK2,sK0))
    & ok(insert_cpq(triple(sK1,sK2,sK0),sK3)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f139,f140]) ).

fof(f140,plain,
    ( ? [X0,X1,X2,X3] :
        ( ~ ok(triple(X1,X2,X0))
        & ok(insert_cpq(triple(X1,X2,X0),X3)) )
   => ( ~ ok(triple(sK1,sK2,sK0))
      & ok(insert_cpq(triple(sK1,sK2,sK0),sK3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f139,plain,
    ? [X0,X1,X2,X3] :
      ( ~ ok(triple(X1,X2,X0))
      & ok(insert_cpq(triple(X1,X2,X0),X3)) ),
    inference(rectify,[],[f106]) ).

fof(f106,plain,
    ? [X0,X3,X1,X2] :
      ( ~ ok(triple(X3,X1,X0))
      & ok(insert_cpq(triple(X3,X1,X0),X2)) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,plain,
    ~ ! [X3,X1,X2,X0] :
        ( ~ ok(triple(X3,X1,X0))
       => ~ ok(insert_cpq(triple(X3,X1,X0),X2)) ),
    inference(rectify,[],[f43]) ).

fof(f43,negated_conjecture,
    ~ ! [X2,X1,X3,X0] :
        ( ~ ok(triple(X0,X1,X2))
       => ~ ok(insert_cpq(triple(X0,X1,X2),X3)) ),
    inference(negated_conjecture,[],[f42]) ).

fof(f42,conjecture,
    ! [X2,X1,X3,X0] :
      ( ~ ok(triple(X0,X1,X2))
     => ~ ok(insert_cpq(triple(X0,X1,X2),X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l13_co) ).

fof(f152,plain,
    ! [X2,X0,X1] :
      ( ok(triple(X1,X2,X0))
      | bad = X0 ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0,X1,X2] :
      ( bad = X0
      | ok(triple(X1,X2,X0)) ),
    inference(rectify,[],[f79]) ).

fof(f79,plain,
    ! [X0,X2,X1] :
      ( bad = X0
      | ok(triple(X2,X1,X0)) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X1,X0,X2] :
      ( ~ ok(triple(X2,X1,X0))
     => bad = X0 ),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ! [X2,X1,X0] :
      ( ~ ok(triple(X0,X1,X2))
     => bad = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).

fof(f190,plain,
    ok(insert_cpq(triple(sK1,sK2,sK0),sK3)),
    inference(cnf_transformation,[],[f141]) ).

fof(f266,plain,
    ! [X14,X12,X13] : ~ ok(insert_cpq(triple(X12,X14,bad),X13)),
    inference(superposition,[],[f157,f168]) ).

fof(f168,plain,
    ! [X2,X3,X0,X1] : insert_cpq(triple(X2,X3,X1),X0) = triple(insert_pqp(X2,X0),insert_slb(X3,pair(X0,bottom)),X1),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1,X2,X3] : insert_cpq(triple(X2,X3,X1),X0) = triple(insert_pqp(X2,X0),insert_slb(X3,pair(X0,bottom)),X1),
    inference(rectify,[],[f55]) ).

fof(f55,plain,
    ! [X2,X0,X3,X1] : triple(insert_pqp(X3,X2),insert_slb(X1,pair(X2,bottom)),X0) = insert_cpq(triple(X3,X1,X0),X2),
    inference(rectify,[],[f30]) ).

fof(f30,axiom,
    ! [X2,X1,X3,X0] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).

fof(f157,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(flattening,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(true_and_false_elimination,[],[f28]) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( $false
    <=> ok(triple(X0,X1,bad)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV377+1 : TPTP v8.1.0. Released v3.3.0.
% 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
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 19:20:18 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (1376)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (1376)Instruction limit reached!
% 0.20/0.51  % (1376)------------------------------
% 0.20/0.51  % (1376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (1369)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)
% 0.20/0.52  % (1388)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)
% 0.20/0.52  % (1382)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  % (1376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52  % (1376)Termination reason: Unknown
% 1.29/0.52  % (1376)Termination phase: Saturation
% 1.29/0.52  
% 1.29/0.52  % (1376)Memory used [KB]: 5628
% 1.29/0.52  % (1376)Time elapsed: 0.104 s
% 1.29/0.52  % (1376)Instructions burned: 7 (million)
% 1.29/0.52  % (1376)------------------------------
% 1.29/0.52  % (1376)------------------------------
% 1.29/0.52  % (1373)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  % (1384)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)
% 1.29/0.53  % (1374)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)
% 1.29/0.53  % (1371)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  % (1398)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)
% 1.29/0.53  TRYING [1]
% 1.29/0.53  % (1391)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)
% 1.29/0.53  % (1390)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.29/0.53  TRYING [2]
% 1.29/0.53  % (1370)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)
% 1.29/0.53  % (1372)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)
% 1.29/0.54  % (1396)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)
% 1.29/0.54  % (1391)First to succeed.
% 1.29/0.54  % (1397)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.29/0.54  % (1378)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)
% 1.29/0.54  % (1385)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)
% 1.29/0.54  % (1375)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)
% 1.29/0.54  % (1389)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)
% 1.29/0.54  % (1387)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.47/0.54  % (1386)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.47/0.55  % (1383)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)
% 1.47/0.55  % (1379)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.47/0.55  % (1380)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)
% 1.47/0.55  % (1377)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.47/0.55  % (1381)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.47/0.55  % (1377)Instruction limit reached!
% 1.47/0.55  % (1377)------------------------------
% 1.47/0.55  % (1377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (1377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55  % (1377)Termination reason: Unknown
% 1.47/0.55  % (1377)Termination phase: Property scanning
% 1.47/0.55  
% 1.47/0.55  % (1377)Memory used [KB]: 1023
% 1.47/0.55  % (1377)Time elapsed: 0.002 s
% 1.47/0.55  % (1377)Instructions burned: 3 (million)
% 1.47/0.55  % (1377)------------------------------
% 1.47/0.55  % (1377)------------------------------
% 1.47/0.55  % (1393)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.47/0.55  TRYING [3]
% 1.47/0.55  % (1394)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.47/0.55  % (1392)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)
% 1.47/0.55  % (1395)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)
% 1.47/0.55  % (1391)Refutation found. Thanks to Tanya!
% 1.47/0.55  % SZS status Theorem for theBenchmark
% 1.47/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.55  % (1391)------------------------------
% 1.47/0.55  % (1391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55  % (1391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55  % (1391)Termination reason: Refutation
% 1.47/0.55  
% 1.47/0.55  % (1391)Memory used [KB]: 1151
% 1.47/0.55  % (1391)Time elapsed: 0.104 s
% 1.47/0.55  % (1391)Instructions burned: 8 (million)
% 1.47/0.55  % (1391)------------------------------
% 1.47/0.55  % (1391)------------------------------
% 1.47/0.55  % (1368)Success in time 0.196 s
%------------------------------------------------------------------------------