TSTP Solution File: SWC144+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC144+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 : n012.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 18:42:00 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 110 ( 27 equ)
% Maximal formula atoms : 18 ( 7 avg)
% Number of connectives : 127 ( 31 ~; 8 |; 76 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 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 : 32 ( 8 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f593,plain,
$false,
inference(subsumption_resolution,[],[f557,f522]) ).
fof(f522,plain,
neq(sK52,nil),
inference(cnf_transformation,[],[f332]) ).
fof(f332,plain,
( ssList(sK51)
& ssList(sK52)
& ssList(sK53)
& ~ singletonP(sK52)
& neq(sK52,nil)
& ~ neq(sK54,nil)
& sK51 = sK53
& sK54 = sK52
& ssList(sK54) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51,sK52,sK53,sK54])],[f119,f331,f330,f329,f328]) ).
fof(f328,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ~ singletonP(X1)
& neq(X1,nil)
& ~ neq(X3,nil)
& X0 = X2
& X1 = X3
& ssList(X3) ) ) ) )
=> ( ssList(sK51)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ~ singletonP(X1)
& neq(X1,nil)
& ~ neq(X3,nil)
& sK51 = X2
& X1 = X3
& ssList(X3) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f329,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ~ singletonP(X1)
& neq(X1,nil)
& ~ neq(X3,nil)
& sK51 = X2
& X1 = X3
& ssList(X3) ) ) )
=> ( ssList(sK52)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ~ singletonP(sK52)
& neq(sK52,nil)
& ~ neq(X3,nil)
& sK51 = X2
& sK52 = X3
& ssList(X3) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f330,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ~ singletonP(sK52)
& neq(sK52,nil)
& ~ neq(X3,nil)
& sK51 = X2
& sK52 = X3
& ssList(X3) ) )
=> ( ssList(sK53)
& ? [X3] :
( ~ singletonP(sK52)
& neq(sK52,nil)
& ~ neq(X3,nil)
& sK51 = sK53
& sK52 = X3
& ssList(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f331,plain,
( ? [X3] :
( ~ singletonP(sK52)
& neq(sK52,nil)
& ~ neq(X3,nil)
& sK51 = sK53
& sK52 = X3
& ssList(X3) )
=> ( ~ singletonP(sK52)
& neq(sK52,nil)
& ~ neq(sK54,nil)
& sK51 = sK53
& sK54 = sK52
& ssList(sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ~ singletonP(X1)
& neq(X1,nil)
& ~ neq(X3,nil)
& X0 = X2
& X1 = X3
& ssList(X3) ) ) ) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( neq(X1,nil)
& X1 = X3
& ~ singletonP(X1)
& ~ neq(X3,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)
| X1 != X3
| singletonP(X1)
| neq(X3,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)
| X1 != X3
| singletonP(X1)
| neq(X3,nil)
| X0 != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f557,plain,
~ neq(sK52,nil),
inference(definition_unfolding,[],[f521,f519]) ).
fof(f519,plain,
sK54 = sK52,
inference(cnf_transformation,[],[f332]) ).
fof(f521,plain,
~ neq(sK54,nil),
inference(cnf_transformation,[],[f332]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC144+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 18:25:50 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.51 % (27199)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)
% 0.20/0.51 % (27191)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)
% 0.20/0.51 % (27182)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)
% 0.20/0.52 % (27184)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (27199)First to succeed.
% 0.20/0.53 % (27178)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)
% 0.20/0.53 % (27185)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (27199)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (27199)------------------------------
% 0.20/0.53 % (27199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (27199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (27199)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (27199)Memory used [KB]: 1279
% 0.20/0.53 % (27199)Time elapsed: 0.073 s
% 0.20/0.53 % (27199)Instructions burned: 10 (million)
% 0.20/0.53 % (27199)------------------------------
% 0.20/0.53 % (27199)------------------------------
% 0.20/0.53 % (27170)Success in time 0.183 s
%------------------------------------------------------------------------------