TSTP Solution File: SWC138+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC138+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 : n023.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 18:41:58 EDT 2022
% Result : Theorem 0.11s 0.38s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 97 ( 27 equ)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 103 ( 20 ~; 6 |; 65 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 32 ( 8 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f592,plain,
$false,
inference(subsumption_resolution,[],[f368,f556]) ).
fof(f556,plain,
~ neq(sK9,nil),
inference(definition_unfolding,[],[f365,f369]) ).
fof(f369,plain,
sK11 = sK9,
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
( sK11 = sK9
& neq(sK9,nil)
& ssList(sK11)
& sK10 = sK8
& ~ neq(sK11,nil)
& ssList(sK10)
& ssList(sK9)
& ssList(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f141,f243,f242,f241,f240]) ).
fof(f240,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& neq(X1,nil)
& ssList(X3)
& X0 = X2
& ~ neq(X3,nil) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& neq(X1,nil)
& ssList(X3)
& sK8 = X2
& ~ neq(X3,nil) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f241,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& neq(X1,nil)
& ssList(X3)
& sK8 = X2
& ~ neq(X3,nil) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( sK9 = X3
& neq(sK9,nil)
& ssList(X3)
& sK8 = X2
& ~ neq(X3,nil) )
& ssList(X2) )
& ssList(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f242,plain,
( ? [X2] :
( ? [X3] :
( sK9 = X3
& neq(sK9,nil)
& ssList(X3)
& sK8 = X2
& ~ neq(X3,nil) )
& ssList(X2) )
=> ( ? [X3] :
( sK9 = X3
& neq(sK9,nil)
& ssList(X3)
& sK10 = sK8
& ~ neq(X3,nil) )
& ssList(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f243,plain,
( ? [X3] :
( sK9 = X3
& neq(sK9,nil)
& ssList(X3)
& sK10 = sK8
& ~ neq(X3,nil) )
=> ( sK11 = sK9
& neq(sK9,nil)
& ssList(sK11)
& sK10 = sK8
& ~ neq(sK11,nil) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& neq(X1,nil)
& ssList(X3)
& X0 = X2
& ~ neq(X3,nil) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( neq(X1,nil)
& ~ neq(X3,nil)
& X0 = X2
& 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)
=> ( ~ neq(X1,nil)
| neq(X3,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ~ neq(X1,nil)
| neq(X3,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f365,plain,
~ neq(sK11,nil),
inference(cnf_transformation,[],[f244]) ).
fof(f368,plain,
neq(sK9,nil),
inference(cnf_transformation,[],[f244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SWC138+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.07/0.26 % Computer : n023.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue Aug 30 18:45:19 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.11/0.36 % (21374)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)
% 0.11/0.36 % (21377)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)
% 0.11/0.36 % (21381)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)
% 0.11/0.36 % (21395)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)
% 0.11/0.36 % (21382)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.11/0.37 % (21371)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)
% 0.11/0.37 % (21383)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)
% 0.11/0.37 % (21380)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.37 % (21387)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)
% 0.11/0.37 % (21380)Instruction limit reached!
% 0.11/0.37 % (21380)------------------------------
% 0.11/0.37 % (21380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.37 % (21380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.37 % (21380)Termination reason: Unknown
% 0.11/0.37 % (21380)Termination phase: Preprocessing 3
% 0.11/0.37
% 0.11/0.37 % (21380)Memory used [KB]: 1023
% 0.11/0.37 % (21380)Time elapsed: 0.002 s
% 0.11/0.37 % (21380)Instructions burned: 3 (million)
% 0.11/0.37 % (21380)------------------------------
% 0.11/0.37 % (21380)------------------------------
% 0.11/0.37 % (21379)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.11/0.37 % (21374)First to succeed.
% 0.11/0.38 % (21376)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.11/0.38 % (21383)Also succeeded, but the first one will report.
% 0.11/0.38 % (21374)Refutation found. Thanks to Tanya!
% 0.11/0.38 % SZS status Theorem for theBenchmark
% 0.11/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.38 % (21374)------------------------------
% 0.11/0.38 % (21374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.38 % (21374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.38 % (21374)Termination reason: Refutation
% 0.11/0.38
% 0.11/0.38 % (21374)Memory used [KB]: 1407
% 0.11/0.38 % (21374)Time elapsed: 0.009 s
% 0.11/0.38 % (21374)Instructions burned: 13 (million)
% 0.11/0.38 % (21374)------------------------------
% 0.11/0.38 % (21374)------------------------------
% 0.11/0.38 % (21368)Success in time 0.11 s
%------------------------------------------------------------------------------