TSTP Solution File: SWC037+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC037+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 : n022.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 18:41:20 EDT 2022
% Result : Theorem 0.18s 0.57s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 11 unt; 0 def)
% Number of atoms : 248 ( 105 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 260 ( 54 ~; 54 |; 130 &)
% ( 4 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 59 ( 24 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f695,plain,
$false,
inference(subsumption_resolution,[],[f693,f609]) ).
fof(f609,plain,
ssList(nil),
inference(backward_demodulation,[],[f406,f408]) ).
fof(f408,plain,
nil = sK18,
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
( ssList(sK17)
& ssList(sK19)
& ssList(sK20)
& ( ( nil = sK20
& nil = sK19 )
| ( neq(sK21,nil)
& ssList(sK21)
& segmentP(sK20,sK21)
& segmentP(sK19,sK21) ) )
& nil != sK17
& sK18 = sK20
& nil = sK18
& sK19 = sK17
& ssList(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20,sK21])],[f155,f267,f266,f265,f264,f263]) ).
fof(f263,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( nil = X3
& nil = X2 )
| ? [X4] :
( neq(X4,nil)
& ssList(X4)
& segmentP(X3,X4)
& segmentP(X2,X4) ) )
& nil != X0
& X1 = X3
& nil = X1
& X0 = X2 ) )
& ssList(X1) ) )
=> ( ssList(sK17)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( nil = X3
& nil = X2 )
| ? [X4] :
( neq(X4,nil)
& ssList(X4)
& segmentP(X3,X4)
& segmentP(X2,X4) ) )
& nil != sK17
& X1 = X3
& nil = X1
& sK17 = X2 ) )
& ssList(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f264,plain,
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( nil = X3
& nil = X2 )
| ? [X4] :
( neq(X4,nil)
& ssList(X4)
& segmentP(X3,X4)
& segmentP(X2,X4) ) )
& nil != sK17
& X1 = X3
& nil = X1
& sK17 = X2 ) )
& ssList(X1) )
=> ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( nil = X3
& nil = X2 )
| ? [X4] :
( neq(X4,nil)
& ssList(X4)
& segmentP(X3,X4)
& segmentP(X2,X4) ) )
& nil != sK17
& sK18 = X3
& nil = sK18
& sK17 = X2 ) )
& ssList(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f265,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( nil = X3
& nil = X2 )
| ? [X4] :
( neq(X4,nil)
& ssList(X4)
& segmentP(X3,X4)
& segmentP(X2,X4) ) )
& nil != sK17
& sK18 = X3
& nil = sK18
& sK17 = X2 ) )
=> ( ssList(sK19)
& ? [X3] :
( ssList(X3)
& ( ( nil = X3
& nil = sK19 )
| ? [X4] :
( neq(X4,nil)
& ssList(X4)
& segmentP(X3,X4)
& segmentP(sK19,X4) ) )
& nil != sK17
& sK18 = X3
& nil = sK18
& sK19 = sK17 ) ) ),
introduced(choice_axiom,[]) ).
fof(f266,plain,
( ? [X3] :
( ssList(X3)
& ( ( nil = X3
& nil = sK19 )
| ? [X4] :
( neq(X4,nil)
& ssList(X4)
& segmentP(X3,X4)
& segmentP(sK19,X4) ) )
& nil != sK17
& sK18 = X3
& nil = sK18
& sK19 = sK17 )
=> ( ssList(sK20)
& ( ( nil = sK20
& nil = sK19 )
| ? [X4] :
( neq(X4,nil)
& ssList(X4)
& segmentP(sK20,X4)
& segmentP(sK19,X4) ) )
& nil != sK17
& sK18 = sK20
& nil = sK18
& sK19 = sK17 ) ),
introduced(choice_axiom,[]) ).
fof(f267,plain,
( ? [X4] :
( neq(X4,nil)
& ssList(X4)
& segmentP(sK20,X4)
& segmentP(sK19,X4) )
=> ( neq(sK21,nil)
& ssList(sK21)
& segmentP(sK20,sK21)
& segmentP(sK19,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( nil = X3
& nil = X2 )
| ? [X4] :
( neq(X4,nil)
& ssList(X4)
& segmentP(X3,X4)
& segmentP(X2,X4) ) )
& nil != X0
& X1 = X3
& nil = X1
& X0 = X2 ) )
& ssList(X1) ) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( nil != X0
& X0 = X2
& X1 = X3
& nil = X1
& ( ? [X4] :
( segmentP(X3,X4)
& neq(X4,nil)
& segmentP(X2,X4)
& ssList(X4) )
| ( nil = X3
& nil = 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)
=> ( nil = X0
| X0 != X2
| X1 != X3
| nil != X1
| ( ! [X4] :
( ssList(X4)
=> ( ~ segmentP(X3,X4)
| ~ neq(X4,nil)
| ~ segmentP(X2,X4) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( nil = X0
| X0 != X2
| X1 != X3
| nil != X1
| ( ! [X4] :
( ssList(X4)
=> ( ~ segmentP(X3,X4)
| ~ neq(X4,nil)
| ~ segmentP(X2,X4) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f406,plain,
ssList(sK18),
inference(cnf_transformation,[],[f268]) ).
fof(f693,plain,
~ ssList(nil),
inference(resolution,[],[f691,f595]) ).
fof(f595,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f581]) ).
fof(f581,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f500]) ).
fof(f500,plain,
! [X0,X1] :
( ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f316]) ).
fof(f316,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f204]) ).
fof(f204,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/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f691,plain,
neq(nil,nil),
inference(subsumption_resolution,[],[f685,f410]) ).
fof(f410,plain,
nil != sK17,
inference(cnf_transformation,[],[f268]) ).
fof(f685,plain,
( nil = sK17
| neq(nil,nil) ),
inference(backward_demodulation,[],[f601,f684]) ).
fof(f684,plain,
nil = sK21,
inference(subsumption_resolution,[],[f683,f410]) ).
fof(f683,plain,
( nil = sK17
| nil = sK21 ),
inference(resolution,[],[f670,f602]) ).
fof(f602,plain,
( ssList(sK21)
| nil = sK17 ),
inference(forward_demodulation,[],[f413,f407]) ).
fof(f407,plain,
sK19 = sK17,
inference(cnf_transformation,[],[f268]) ).
fof(f413,plain,
( nil = sK19
| ssList(sK21) ),
inference(cnf_transformation,[],[f268]) ).
fof(f670,plain,
( ~ ssList(sK21)
| nil = sK21 ),
inference(resolution,[],[f350,f612]) ).
fof(f612,plain,
segmentP(nil,sK21),
inference(subsumption_resolution,[],[f611,f410]) ).
fof(f611,plain,
( segmentP(nil,sK21)
| nil = sK17 ),
inference(backward_demodulation,[],[f607,f408]) ).
fof(f607,plain,
( nil = sK17
| segmentP(sK18,sK21) ),
inference(backward_demodulation,[],[f598,f409]) ).
fof(f409,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f268]) ).
fof(f598,plain,
( nil = sK17
| segmentP(sK20,sK21) ),
inference(forward_demodulation,[],[f412,f407]) ).
fof(f412,plain,
( nil = sK19
| segmentP(sK20,sK21) ),
inference(cnf_transformation,[],[f268]) ).
fof(f350,plain,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0] :
( ~ ssList(X0)
| ( ( nil = X0
| ~ segmentP(nil,X0) )
& ( segmentP(nil,X0)
| nil != X0 ) ) ),
inference(nnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ~ ssList(X0)
| ( nil = X0
<=> segmentP(nil,X0) ) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
<=> segmentP(nil,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
fof(f601,plain,
( neq(sK21,nil)
| nil = sK17 ),
inference(forward_demodulation,[],[f414,f407]) ).
fof(f414,plain,
( neq(sK21,nil)
| nil = sK19 ),
inference(cnf_transformation,[],[f268]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWC037+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 : n022.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 18:02:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.53 % (8208)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53 % (8202)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.53 % (8201)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)
% 0.18/0.53 % (8204)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)
% 0.18/0.53 % (8202)Instruction limit reached!
% 0.18/0.53 % (8202)------------------------------
% 0.18/0.53 % (8202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (8202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (8202)Termination reason: Unknown
% 0.18/0.53 % (8202)Termination phase: shuffling
% 0.18/0.53
% 0.18/0.53 % (8202)Memory used [KB]: 1279
% 0.18/0.53 % (8202)Time elapsed: 0.005 s
% 0.18/0.53 % (8202)Instructions burned: 9 (million)
% 0.18/0.53 % (8202)------------------------------
% 0.18/0.53 % (8202)------------------------------
% 0.18/0.54 % (8210)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)
% 0.18/0.54 % (8203)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.55 % (8195)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)
% 0.18/0.55 % (8209)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)
% 0.18/0.55 % (8218)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)
% 0.18/0.55 % (8217)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)
% 0.18/0.56 % (8211)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)
% 0.18/0.56 % (8203)Instruction limit reached!
% 0.18/0.56 % (8203)------------------------------
% 0.18/0.56 % (8203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (8222)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)
% 0.18/0.56 % (8203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (8203)Termination reason: Unknown
% 0.18/0.56 % (8203)Termination phase: Preprocessing 3
% 0.18/0.56
% 0.18/0.56 % (8203)Memory used [KB]: 1023
% 0.18/0.56 % (8203)Time elapsed: 0.004 s
% 0.18/0.56 % (8203)Instructions burned: 3 (million)
% 0.18/0.56 % (8203)------------------------------
% 0.18/0.56 % (8203)------------------------------
% 0.18/0.56 % (8216)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.56 % (8210)First to succeed.
% 0.18/0.56 TRYING [1]
% 0.18/0.56 TRYING [2]
% 0.18/0.56 % (8220)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.57 % (8206)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)
% 0.18/0.57 % (8219)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.57 % (8210)Refutation found. Thanks to Tanya!
% 0.18/0.57 % SZS status Theorem for theBenchmark
% 0.18/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.57 % (8210)------------------------------
% 0.18/0.57 % (8210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (8210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57 % (8210)Termination reason: Refutation
% 0.18/0.57
% 0.18/0.57 % (8210)Memory used [KB]: 1535
% 0.18/0.57 % (8210)Time elapsed: 0.156 s
% 0.18/0.57 % (8210)Instructions burned: 20 (million)
% 0.18/0.57 % (8210)------------------------------
% 0.18/0.57 % (8210)------------------------------
% 0.18/0.57 % (8194)Success in time 0.225 s
%------------------------------------------------------------------------------