TSTP Solution File: SWC381+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC381+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n010.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 18:43:29 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 9 unt; 0 def)
% Number of atoms : 132 ( 33 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 160 ( 64 ~; 53 |; 28 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 30 ( 18 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f676,plain,
$false,
inference(avatar_sat_refutation,[],[f483,f485,f500,f506,f511,f675]) ).
fof(f675,plain,
( ~ spl54_7
| ~ spl54_3
| ~ spl54_1
| ~ spl54_6 ),
inference(avatar_split_clause,[],[f674,f504,f476,f487,f508]) ).
fof(f508,plain,
( spl54_7
<=> ssItem(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_7])]) ).
fof(f487,plain,
( spl54_3
<=> memberP(sK12,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_3])]) ).
fof(f476,plain,
( spl54_1
<=> sF52 = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl54_1])]) ).
fof(f504,plain,
( spl54_6
<=> ! [X4] :
( ~ memberP(sK12,X4)
| sK9 != sF53(X4)
| ~ ssItem(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_6])]) ).
fof(f674,plain,
( ~ memberP(sK12,sK13)
| ~ ssItem(sK13)
| ~ spl54_1
| ~ spl54_6 ),
inference(trivial_inequality_removal,[],[f673]) ).
fof(f673,plain,
( ~ ssItem(sK13)
| sK9 != sK9
| ~ memberP(sK12,sK13)
| ~ spl54_1
| ~ spl54_6 ),
inference(superposition,[],[f505,f540]) ).
fof(f540,plain,
( sK9 = sF53(sK13)
| ~ spl54_1 ),
inference(forward_demodulation,[],[f537,f478]) ).
fof(f478,plain,
( sF52 = sK9
| ~ spl54_1 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f537,plain,
sF52 = sF53(sK13),
inference(superposition,[],[f462,f465]) ).
fof(f465,plain,
! [X4] : cons(X4,nil) = sF53(X4),
introduced(function_definition,[]) ).
fof(f462,plain,
sF52 = cons(sK13,nil),
introduced(function_definition,[]) ).
fof(f505,plain,
( ! [X4] :
( sK9 != sF53(X4)
| ~ memberP(sK12,X4)
| ~ ssItem(X4) )
| ~ spl54_6 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f511,plain,
( ~ spl54_2
| spl54_7 ),
inference(avatar_split_clause,[],[f277,f508,f480]) ).
fof(f480,plain,
( spl54_2
<=> neq(sK12,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_2])]) ).
fof(f277,plain,
( ssItem(sK13)
| ~ neq(sK12,nil) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ( ( ! [X4] :
( ~ memberP(X1,X4)
| ~ ssItem(X4)
| cons(X4,nil) != X0 )
& neq(X1,nil)
& ? [X5] :
( ssItem(X5)
& cons(X5,nil) = X2
& memberP(X3,X5) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& X1 = X3
& X0 = X2
& ssList(X3) ) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f216]) ).
fof(f216,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X0 = X2
& ( ( neq(X1,nil)
& ~ neq(X3,nil) )
| ( ? [X5] :
( cons(X5,nil) = X2
& memberP(X3,X5)
& ssItem(X5) )
& neq(X1,nil)
& ! [X4] :
( ~ memberP(X1,X4)
| ~ ssItem(X4)
| cons(X4,nil) != X0 ) ) )
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ! [X5] :
( ssItem(X5)
=> ( cons(X5,nil) != X2
| ~ memberP(X3,X5) ) )
| ~ neq(X1,nil)
| ? [X4] :
( cons(X4,nil) = X0
& ssItem(X4)
& memberP(X1,X4) ) ) )
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ! [X5] :
( ssItem(X5)
=> ( cons(X5,nil) != X2
| ~ memberP(X3,X5) ) )
| ~ neq(X1,nil)
| ? [X4] :
( cons(X4,nil) = X0
& ssItem(X4)
& memberP(X1,X4) ) ) )
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f506,plain,
( ~ spl54_2
| spl54_6 ),
inference(avatar_split_clause,[],[f467,f504,f480]) ).
fof(f467,plain,
! [X4] :
( ~ memberP(sK12,X4)
| ~ ssItem(X4)
| ~ neq(sK12,nil)
| sK9 != sF53(X4) ),
inference(definition_folding,[],[f436,f465]) ).
fof(f436,plain,
! [X4] :
( ~ neq(sK12,nil)
| cons(X4,nil) != sK9
| ~ ssItem(X4)
| ~ memberP(sK12,X4) ),
inference(definition_unfolding,[],[f273,f285]) ).
fof(f285,plain,
sK10 = sK12,
inference(cnf_transformation,[],[f217]) ).
fof(f273,plain,
! [X4] :
( ~ neq(sK12,nil)
| cons(X4,nil) != sK9
| ~ ssItem(X4)
| ~ memberP(sK10,X4) ),
inference(cnf_transformation,[],[f217]) ).
fof(f500,plain,
( spl54_3
| ~ spl54_2 ),
inference(avatar_split_clause,[],[f275,f480,f487]) ).
fof(f275,plain,
( ~ neq(sK12,nil)
| memberP(sK12,sK13) ),
inference(cnf_transformation,[],[f217]) ).
fof(f485,plain,
spl54_2,
inference(avatar_split_clause,[],[f430,f480]) ).
fof(f430,plain,
neq(sK12,nil),
inference(definition_unfolding,[],[f281,f285]) ).
fof(f281,plain,
neq(sK10,nil),
inference(cnf_transformation,[],[f217]) ).
fof(f483,plain,
( spl54_1
| ~ spl54_2 ),
inference(avatar_split_clause,[],[f464,f480,f476]) ).
fof(f464,plain,
( ~ neq(sK12,nil)
| sF52 = sK9 ),
inference(definition_folding,[],[f434,f462]) ).
fof(f434,plain,
( ~ neq(sK12,nil)
| cons(sK13,nil) = sK9 ),
inference(definition_unfolding,[],[f276,f284]) ).
fof(f284,plain,
sK11 = sK9,
inference(cnf_transformation,[],[f217]) ).
fof(f276,plain,
( ~ neq(sK12,nil)
| sK11 = cons(sK13,nil) ),
inference(cnf_transformation,[],[f217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWC381+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 18:44:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (22892)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)
% 0.19/0.49 % (22891)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (22888)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)
% 0.19/0.50 % (22891)Instruction limit reached!
% 0.19/0.50 % (22891)------------------------------
% 0.19/0.50 % (22891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (22890)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (22891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (22891)Termination reason: Unknown
% 0.19/0.50 % (22891)Termination phase: Preprocessing 1
% 0.19/0.50
% 0.19/0.50 % (22891)Memory used [KB]: 895
% 0.19/0.50 % (22891)Time elapsed: 0.003 s
% 0.19/0.50 % (22891)Instructions burned: 2 (million)
% 0.19/0.50 % (22891)------------------------------
% 0.19/0.50 % (22891)------------------------------
% 0.19/0.50 % (22895)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (22899)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)
% 0.19/0.50 % (22894)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)
% 0.19/0.50 % (22908)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.50 % (22893)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (22896)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (22887)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (22904)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 % (22905)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)
% 0.19/0.52 % (22902)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)
% 0.19/0.52 % (22883)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)
% 0.19/0.52 % (22886)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)
% 0.19/0.52 % (22885)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)
% 0.19/0.52 % (22884)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)
% 0.19/0.52 % (22890)Instruction limit reached!
% 0.19/0.52 % (22890)------------------------------
% 0.19/0.52 % (22890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (22890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (22890)Termination reason: Unknown
% 0.19/0.52 % (22890)Termination phase: Function definition elimination
% 0.19/0.52
% 0.19/0.52 % (22890)Memory used [KB]: 1279
% 0.19/0.52 % (22890)Time elapsed: 0.006 s
% 0.19/0.52 % (22890)Instructions burned: 8 (million)
% 0.19/0.52 % (22890)------------------------------
% 0.19/0.52 % (22890)------------------------------
% 0.19/0.52 % (22912)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)
% 0.19/0.53 % (22889)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)
% 0.19/0.53 % (22897)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 % (22898)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)
% 0.19/0.53 % (22906)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)
% 0.19/0.53 % (22911)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (22907)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (22903)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)
% 0.19/0.54 % (22910)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)
% 0.19/0.54 % (22909)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 % (22901)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (22900)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.55 % (22886)First to succeed.
% 0.19/0.55 % (22886)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Theorem for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (22886)------------------------------
% 0.19/0.55 % (22886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (22886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (22886)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (22886)Memory used [KB]: 5884
% 0.19/0.55 % (22886)Time elapsed: 0.142 s
% 0.19/0.55 % (22886)Instructions burned: 19 (million)
% 0.19/0.55 % (22886)------------------------------
% 0.19/0.55 % (22886)------------------------------
% 0.19/0.55 % (22882)Success in time 0.209 s
%------------------------------------------------------------------------------