TSTP Solution File: SWC275-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC275-1 : 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_uns --cores 0 -t %d %s
% Computer : n013.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 18:40:03 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 19
% Syntax : Number of formulae : 41 ( 12 unt; 0 def)
% Number of atoms : 82 ( 11 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 34 ~; 32 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f406,plain,
$false,
inference(avatar_sat_refutation,[],[f238,f251,f287,f293,f299,f331,f339,f340,f393,f405]) ).
fof(f405,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f404]) ).
fof(f404,plain,
( $false
| ~ spl0_24 ),
inference(resolution,[],[f392,f198]) ).
fof(f198,plain,
~ totalorderedP(sk3),
inference(definition_unfolding,[],[f192,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f192,axiom,
~ totalorderedP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f392,plain,
( totalorderedP(sk3)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f390,plain,
( spl0_24
<=> totalorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f393,plain,
( spl0_24
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f346,f248,f244,f235,f390]) ).
fof(f235,plain,
( spl0_2
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f244,plain,
( spl0_4
<=> ! [X1] :
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f248,plain,
( spl0_5
<=> sk3 = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f346,plain,
( ~ ssItem(sk5)
| totalorderedP(sk3)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f245,f250]) ).
fof(f250,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f245,plain,
( ! [X1] :
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f340,plain,
spl0_16,
inference(avatar_split_clause,[],[f189,f328]) ).
fof(f328,plain,
( spl0_16
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f339,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f338]) ).
fof(f338,plain,
( $false
| ~ spl0_13 ),
inference(resolution,[],[f336,f4]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f336,plain,
( ~ totalorderedP(nil)
| ~ spl0_13 ),
inference(backward_demodulation,[],[f198,f286]) ).
fof(f286,plain,
( nil = sk3
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f284,plain,
( spl0_13
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f331,plain,
( ~ spl0_3
| spl0_12
| ~ spl0_16
| spl0_1 ),
inference(avatar_split_clause,[],[f322,f231,f328,f280,f240]) ).
fof(f240,plain,
( spl0_3
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f280,plain,
( spl0_12
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f231,plain,
( spl0_1
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f322,plain,
( ~ ssList(sk4)
| nil = sk4
| ~ ssList(nil)
| spl0_1 ),
inference(resolution,[],[f100,f233]) ).
fof(f233,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f299,plain,
spl0_4,
inference(avatar_split_clause,[],[f67,f244]) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f293,plain,
spl0_3,
inference(avatar_split_clause,[],[f8,f240]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f287,plain,
( ~ spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f193,f284,f280]) ).
fof(f193,axiom,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f251,plain,
( ~ spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f195,f248,f231]) ).
fof(f195,axiom,
( sk3 = cons(sk5,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f238,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f194,f235,f231]) ).
fof(f194,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC275-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 18:38:17 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (21601)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.49 % (21617)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.50 % (21601)First to succeed.
% 0.20/0.50 % (21625)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (21601)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (21601)------------------------------
% 0.20/0.51 % (21601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (21601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (21601)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (21601)Memory used [KB]: 6140
% 0.20/0.51 % (21601)Time elapsed: 0.100 s
% 0.20/0.51 % (21601)Instructions burned: 8 (million)
% 0.20/0.51 % (21601)------------------------------
% 0.20/0.51 % (21601)------------------------------
% 0.20/0.51 % (21595)Success in time 0.149 s
%------------------------------------------------------------------------------