TSTP Solution File: SWC276+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC276+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 : n014.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 18:42:51 EDT 2022
% Result : Theorem 0.24s 0.55s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 8 unt; 0 def)
% Number of atoms : 104 ( 34 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 101 ( 32 ~; 32 |; 22 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 23 ( 13 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f516,plain,
$false,
inference(avatar_sat_refutation,[],[f497,f499,f507,f509,f515]) ).
fof(f515,plain,
~ spl53_6,
inference(avatar_contradiction_clause,[],[f514]) ).
fof(f514,plain,
( $false
| ~ spl53_6 ),
inference(resolution,[],[f513,f345]) ).
fof(f345,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
fof(f513,plain,
( ~ totalorderedP(nil)
| ~ spl53_6 ),
inference(superposition,[],[f385,f490]) ).
fof(f490,plain,
( nil = sK39
| ~ spl53_6 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f488,plain,
( spl53_6
<=> nil = sK39 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_6])]) ).
fof(f385,plain,
~ totalorderedP(sK39),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ~ totalorderedP(X0)
& X0 = X2
& ( ? [X4] :
( cons(X4,nil) = X2
& memberP(X3,X4)
& ssItem(X4) )
| ( nil = X2
& nil = X3 ) )
& X1 = X3
& ssList(X3) ) )
& ssList(X1) ) ),
inference(flattening,[],[f204]) ).
fof(f204,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ totalorderedP(X0)
& X1 = X3
& ( ( nil = X2
& nil = X3 )
| ? [X4] :
( cons(X4,nil) = X2
& memberP(X3,X4)
& ssItem(X4) ) )
& 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)
=> ( totalorderedP(X0)
| X1 != X3
| ( ( nil != X3
| nil != X2 )
& ! [X4] :
( ssItem(X4)
=> ( cons(X4,nil) != X2
| ~ memberP(X3,X4) ) ) )
| X0 != X2 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( totalorderedP(X0)
| X1 != X3
| ( ( nil != X3
| nil != X2 )
& ! [X4] :
( ssItem(X4)
=> ( cons(X4,nil) != X2
| ~ memberP(X3,X4) ) ) )
| X0 != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f509,plain,
~ spl53_8,
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f508,plain,
( $false
| ~ spl53_8 ),
inference(resolution,[],[f506,f385]) ).
fof(f506,plain,
( totalorderedP(sK39)
| ~ spl53_8 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f504,plain,
( spl53_8
<=> totalorderedP(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_8])]) ).
fof(f507,plain,
( ~ spl53_4
| spl53_8
| ~ spl53_7 ),
inference(avatar_split_clause,[],[f502,f494,f504,f479]) ).
fof(f479,plain,
( spl53_4
<=> ssItem(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_4])]) ).
fof(f494,plain,
( spl53_7
<=> sF52 = sK39 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_7])]) ).
fof(f502,plain,
( totalorderedP(sK39)
| ~ ssItem(sK43)
| ~ spl53_7 ),
inference(forward_demodulation,[],[f501,f496]) ).
fof(f496,plain,
( sF52 = sK39
| ~ spl53_7 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f501,plain,
( ~ ssItem(sK43)
| totalorderedP(sF52) ),
inference(superposition,[],[f236,f455]) ).
fof(f455,plain,
sF52 = cons(sK43,nil),
introduced(function_definition,[]) ).
fof(f236,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
fof(f499,plain,
( spl53_6
| spl53_4 ),
inference(avatar_split_clause,[],[f429,f479,f488]) ).
fof(f429,plain,
( ssItem(sK43)
| nil = sK39 ),
inference(definition_unfolding,[],[f376,f384]) ).
fof(f384,plain,
sK41 = sK39,
inference(cnf_transformation,[],[f205]) ).
fof(f376,plain,
( nil = sK41
| ssItem(sK43) ),
inference(cnf_transformation,[],[f205]) ).
fof(f497,plain,
( spl53_7
| spl53_6 ),
inference(avatar_split_clause,[],[f457,f488,f494]) ).
fof(f457,plain,
( nil = sK39
| sF52 = sK39 ),
inference(definition_folding,[],[f427,f455]) ).
fof(f427,plain,
( nil = sK39
| sK39 = cons(sK43,nil) ),
inference(definition_unfolding,[],[f378,f384,f384]) ).
fof(f378,plain,
( nil = sK41
| sK41 = cons(sK43,nil) ),
inference(cnf_transformation,[],[f205]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWC276+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.16/0.37 % Computer : n014.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 30 18:42:48 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.24/0.53 % (22941)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.24/0.53 % (22948)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)
% 0.24/0.53 % (22940)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.24/0.53 % (22948)First to succeed.
% 0.24/0.54 % (22964)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)
% 0.24/0.54 % (22956)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.24/0.54 % (22949)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.24/0.55 % (22948)Refutation found. Thanks to Tanya!
% 0.24/0.55 % SZS status Theorem for theBenchmark
% 0.24/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.55 % (22948)------------------------------
% 0.24/0.55 % (22948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.24/0.55 % (22948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.24/0.55 % (22948)Termination reason: Refutation
% 0.24/0.55
% 0.24/0.55 % (22948)Memory used [KB]: 5884
% 0.24/0.55 % (22948)Time elapsed: 0.093 s
% 0.24/0.55 % (22948)Instructions burned: 13 (million)
% 0.24/0.55 % (22948)------------------------------
% 0.24/0.55 % (22948)------------------------------
% 0.24/0.55 % (22936)Success in time 0.167 s
%------------------------------------------------------------------------------