TSTP Solution File: SWC391+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC391+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 : n008.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 18:43:33 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 133 ( 43 equ)
% Maximal formula atoms : 20 ( 7 avg)
% Number of connectives : 137 ( 23 ~; 8 |; 91 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 45 ( 10 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f598,plain,
$false,
inference(subsumption_resolution,[],[f596,f356]) ).
fof(f356,plain,
~ memberP(sK7,sK10),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
( ssList(sK7)
& memberP(sK6,sK10)
& ~ memberP(sK7,sK10)
& ssItem(sK10)
& sK9 = sK7
& ssList(sK9)
& sK9 = sK8
& sK6 = sK8
& ssList(sK8)
& ssList(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10])],[f103,f236,f235,f234,f233,f232]) ).
fof(f232,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ? [X4] :
( memberP(X0,X4)
& ~ memberP(X1,X4)
& ssItem(X4) )
& X1 = X3
& ssList(X3)
& X2 = X3
& X0 = X2 )
& ssList(X2) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ? [X4] :
( memberP(sK6,X4)
& ~ memberP(X1,X4)
& ssItem(X4) )
& X1 = X3
& ssList(X3)
& X2 = X3
& sK6 = X2 )
& ssList(X2) ) )
& ssList(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f233,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ? [X4] :
( memberP(sK6,X4)
& ~ memberP(X1,X4)
& ssItem(X4) )
& X1 = X3
& ssList(X3)
& X2 = X3
& sK6 = X2 )
& ssList(X2) ) )
=> ( ssList(sK7)
& ? [X2] :
( ? [X3] :
( ? [X4] :
( memberP(sK6,X4)
& ~ memberP(sK7,X4)
& ssItem(X4) )
& sK7 = X3
& ssList(X3)
& X2 = X3
& sK6 = X2 )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f234,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( memberP(sK6,X4)
& ~ memberP(sK7,X4)
& ssItem(X4) )
& sK7 = X3
& ssList(X3)
& X2 = X3
& sK6 = X2 )
& ssList(X2) )
=> ( ? [X3] :
( ? [X4] :
( memberP(sK6,X4)
& ~ memberP(sK7,X4)
& ssItem(X4) )
& sK7 = X3
& ssList(X3)
& sK8 = X3
& sK6 = sK8 )
& ssList(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f235,plain,
( ? [X3] :
( ? [X4] :
( memberP(sK6,X4)
& ~ memberP(sK7,X4)
& ssItem(X4) )
& sK7 = X3
& ssList(X3)
& sK8 = X3
& sK6 = sK8 )
=> ( ? [X4] :
( memberP(sK6,X4)
& ~ memberP(sK7,X4)
& ssItem(X4) )
& sK9 = sK7
& ssList(sK9)
& sK9 = sK8
& sK6 = sK8 ) ),
introduced(choice_axiom,[]) ).
fof(f236,plain,
( ? [X4] :
( memberP(sK6,X4)
& ~ memberP(sK7,X4)
& ssItem(X4) )
=> ( memberP(sK6,sK10)
& ~ memberP(sK7,sK10)
& ssItem(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ? [X4] :
( memberP(X0,X4)
& ~ memberP(X1,X4)
& ssItem(X4) )
& X1 = X3
& ssList(X3)
& X2 = X3
& X0 = X2 )
& ssList(X2) ) )
& ssList(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X0 = X2
& X1 = X3
& X2 = X3
& ? [X4] :
( memberP(X0,X4)
& ~ memberP(X1,X4)
& ssItem(X4) )
& 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
| X1 != X3
| X2 != X3
| ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X0,X4)
| memberP(X1,X4) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| X1 != X3
| X2 != X3
| ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X0,X4)
| memberP(X1,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f596,plain,
memberP(sK7,sK10),
inference(backward_demodulation,[],[f558,f560]) ).
fof(f560,plain,
sK8 = sK7,
inference(definition_unfolding,[],[f352,f354]) ).
fof(f354,plain,
sK9 = sK7,
inference(cnf_transformation,[],[f237]) ).
fof(f352,plain,
sK9 = sK8,
inference(cnf_transformation,[],[f237]) ).
fof(f558,plain,
memberP(sK8,sK10),
inference(definition_unfolding,[],[f357,f351]) ).
fof(f351,plain,
sK6 = sK8,
inference(cnf_transformation,[],[f237]) ).
fof(f357,plain,
memberP(sK6,sK10),
inference(cnf_transformation,[],[f237]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC391+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 18:56:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (14194)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49 % (14206)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)
% 0.19/0.49 % (14210)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)
% 0.19/0.49 % (14198)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)
% 0.19/0.50 % (14190)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)
% 0.19/0.50 % (14202)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (14186)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)
% 0.19/0.50 % (14185)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)
% 0.19/0.51 % (14206)First to succeed.
% 0.19/0.51 % (14206)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (14206)------------------------------
% 0.19/0.51 % (14206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (14206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (14206)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (14206)Memory used [KB]: 1407
% 0.19/0.51 % (14206)Time elapsed: 0.068 s
% 0.19/0.51 % (14206)Instructions burned: 12 (million)
% 0.19/0.51 % (14206)------------------------------
% 0.19/0.51 % (14206)------------------------------
% 0.19/0.51 % (14183)Success in time 0.168 s
%------------------------------------------------------------------------------