TSTP Solution File: SWC207+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC207+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 : n006.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 18:42:24 EDT 2022
% Result : Theorem 1.89s 0.61s
% Output : Refutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 51 ( 13 unt; 0 def)
% Number of atoms : 168 ( 50 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 189 ( 72 ~; 63 |; 32 &)
% ( 8 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 40 ( 28 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f755,plain,
$false,
inference(avatar_sat_refutation,[],[f497,f498,f522,f655,f722,f752,f754]) ).
fof(f754,plain,
spl53_24,
inference(avatar_contradiction_clause,[],[f753]) ).
fof(f753,plain,
( $false
| spl53_24 ),
inference(resolution,[],[f751,f427]) ).
fof(f427,plain,
ssList(sK45),
inference(definition_unfolding,[],[f402,f397]) ).
fof(f397,plain,
sK43 = sK45,
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( neq(X1,nil)
& ssList(X3)
& X0 = X2
& ( ( nil = X3
& nil = X2 )
| ? [X4] :
( memberP(X3,X4)
& ssItem(X4)
& ! [X5] :
( X4 = X5
| ~ ssItem(X5)
| ~ leq(X4,X5)
| ~ memberP(X3,X5) )
& cons(X4,nil) = X2 ) )
& ~ neq(X0,nil)
& X1 = X3 ) )
& ssList(X1) ) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( neq(X1,nil)
& ( ( nil = X3
& nil = X2 )
| ? [X4] :
( ! [X5] :
( X4 = X5
| ~ ssItem(X5)
| ~ leq(X4,X5)
| ~ memberP(X3,X5) )
& cons(X4,nil) = X2
& memberP(X3,X4)
& ssItem(X4) ) )
& X1 = X3
& ~ neq(X0,nil)
& X0 = X2
& 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)
=> ( ~ neq(X1,nil)
| ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ( ? [X5] :
( X4 != X5
& memberP(X3,X5)
& ssItem(X5)
& leq(X4,X5) )
| cons(X4,nil) != X2
| ~ memberP(X3,X4) ) ) )
| X1 != X3
| neq(X0,nil)
| X0 != X2 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ~ neq(X1,nil)
| ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ( ? [X5] :
( X4 != X5
& memberP(X3,X5)
& ssItem(X5)
& leq(X4,X5) )
| cons(X4,nil) != X2
| ~ memberP(X3,X4) ) ) )
| X1 != X3
| neq(X0,nil)
| X0 != X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f402,plain,
ssList(sK43),
inference(cnf_transformation,[],[f115]) ).
fof(f751,plain,
( ~ ssList(sK45)
| spl53_24 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f749,plain,
( spl53_24
<=> ssList(sK45) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_24])]) ).
fof(f752,plain,
( ~ spl53_24
| spl53_8
| ~ spl53_2 ),
inference(avatar_split_clause,[],[f743,f476,f504,f749]) ).
fof(f504,plain,
( spl53_8
<=> nil = sK45 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_8])]) ).
fof(f476,plain,
( spl53_2
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_2])]) ).
fof(f743,plain,
( ~ ssList(nil)
| nil = sK45
| ~ ssList(sK45) ),
inference(resolution,[],[f236,f429]) ).
fof(f429,plain,
~ neq(sK45,nil),
inference(definition_unfolding,[],[f396,f397]) ).
fof(f396,plain,
~ neq(sK43,nil),
inference(cnf_transformation,[],[f115]) ).
fof(f236,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( neq(X0,X1)
<=> X0 != X1 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f722,plain,
( ~ spl53_2
| ~ spl53_5 ),
inference(avatar_split_clause,[],[f721,f490,f476]) ).
fof(f490,plain,
( spl53_5
<=> nil = sK44 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_5])]) ).
fof(f721,plain,
( ~ ssList(nil)
| ~ spl53_5 ),
inference(resolution,[],[f703,f465]) ).
fof(f465,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f440]) ).
fof(f440,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f237]) ).
fof(f237,plain,
! [X0,X1] :
( ~ ssList(X0)
| X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f169]) ).
fof(f703,plain,
( neq(nil,nil)
| ~ spl53_5 ),
inference(superposition,[],[f399,f492]) ).
fof(f492,plain,
( nil = sK44
| ~ spl53_5 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f399,plain,
neq(sK44,nil),
inference(cnf_transformation,[],[f115]) ).
fof(f655,plain,
( ~ spl53_8
| ~ spl53_2
| ~ spl53_6
| ~ spl53_11 ),
inference(avatar_split_clause,[],[f654,f519,f494,f476,f504]) ).
fof(f494,plain,
( spl53_6
<=> ssItem(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_6])]) ).
fof(f519,plain,
( spl53_11
<=> sF52 = sK45 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_11])]) ).
fof(f654,plain,
( ~ ssItem(sK47)
| ~ ssList(nil)
| nil != sK45
| ~ spl53_11 ),
inference(forward_demodulation,[],[f653,f521]) ).
fof(f521,plain,
( sF52 = sK45
| ~ spl53_11 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f653,plain,
( ~ ssItem(sK47)
| ~ ssList(nil)
| nil != sF52 ),
inference(superposition,[],[f279,f461]) ).
fof(f461,plain,
sF52 = cons(sK47,nil),
introduced(function_definition,[]) ).
fof(f279,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f522,plain,
( spl53_11
| spl53_5 ),
inference(avatar_split_clause,[],[f463,f490,f519]) ).
fof(f463,plain,
( nil = sK44
| sF52 = sK45 ),
inference(definition_folding,[],[f433,f461]) ).
fof(f433,plain,
( sK45 = cons(sK47,nil)
| nil = sK44 ),
inference(definition_unfolding,[],[f389,f395]) ).
fof(f395,plain,
sK46 = sK44,
inference(cnf_transformation,[],[f115]) ).
fof(f389,plain,
( sK45 = cons(sK47,nil)
| nil = sK46 ),
inference(cnf_transformation,[],[f115]) ).
fof(f498,plain,
spl53_2,
inference(avatar_split_clause,[],[f357,f476]) ).
fof(f357,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f497,plain,
( spl53_5
| spl53_6 ),
inference(avatar_split_clause,[],[f432,f494,f490]) ).
fof(f432,plain,
( ssItem(sK47)
| nil = sK44 ),
inference(definition_unfolding,[],[f390,f395]) ).
fof(f390,plain,
( ssItem(sK47)
| nil = sK46 ),
inference(cnf_transformation,[],[f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC207+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 18:33:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.21/0.53 % (12324)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)
% 0.21/0.56 % (12344)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)
% 0.21/0.56 % (12336)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)
% 0.21/0.56 % (12321)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)
% 1.54/0.57 % (12350)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)
% 1.54/0.57 % (12328)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.54/0.58 % (12333)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.54/0.58 % (12331)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.54/0.58 % (12339)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.54/0.59 % (12323)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)
% 1.54/0.59 % (12342)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.54/0.59 % (12328)Instruction limit reached!
% 1.54/0.59 % (12328)------------------------------
% 1.54/0.59 % (12328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.59 % (12328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.59 % (12328)Termination reason: Unknown
% 1.54/0.59 % (12328)Termination phase: Property scanning
% 1.54/0.59
% 1.54/0.59 % (12328)Memory used [KB]: 1279
% 1.54/0.59 % (12328)Time elapsed: 0.010 s
% 1.54/0.59 % (12328)Instructions burned: 7 (million)
% 1.54/0.59 % (12328)------------------------------
% 1.54/0.59 % (12328)------------------------------
% 1.89/0.60 % (12327)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)
% 1.89/0.60 % (12325)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.89/0.60 % (12326)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)
% 1.89/0.61 % (12324)First to succeed.
% 1.89/0.61 % (12324)Refutation found. Thanks to Tanya!
% 1.89/0.61 % SZS status Theorem for theBenchmark
% 1.89/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.89/0.61 % (12324)------------------------------
% 1.89/0.61 % (12324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.61 % (12324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.61 % (12324)Termination reason: Refutation
% 1.89/0.61
% 1.89/0.61 % (12324)Memory used [KB]: 6012
% 1.89/0.61 % (12324)Time elapsed: 0.190 s
% 1.89/0.61 % (12324)Instructions burned: 21 (million)
% 1.89/0.61 % (12324)------------------------------
% 1.89/0.61 % (12324)------------------------------
% 1.89/0.61 % (12320)Success in time 0.258 s
%------------------------------------------------------------------------------