TSTP Solution File: SWC027-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC027-1 : 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 : 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 18:38:17 EDT 2022
% Result : Unsatisfiable 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of formulae : 40 ( 5 unt; 0 def)
% Number of atoms : 87 ( 24 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 86 ( 39 ~; 41 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f856,plain,
$false,
inference(avatar_sat_refutation,[],[f253,f263,f268,f269,f271,f272,f646,f812,f855]) ).
fof(f855,plain,
spl0_43,
inference(avatar_contradiction_clause,[],[f854]) ).
fof(f854,plain,
( $false
| spl0_43 ),
inference(resolution,[],[f771,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f771,plain,
( ~ ssList(nil)
| spl0_43 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f769,plain,
( spl0_43
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f812,plain,
( ~ spl0_43
| ~ spl0_6
| ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f767,f245,f241,f265,f769]) ).
fof(f265,plain,
( spl0_6
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f241,plain,
( spl0_1
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f245,plain,
( spl0_2
<=> sk3 = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f767,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_1
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f736]) ).
fof(f736,plain,
( ~ ssList(nil)
| nil != nil
| ~ ssItem(sk5)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f98,f389]) ).
fof(f389,plain,
( nil = cons(sk5,nil)
| ~ spl0_1
| ~ spl0_2 ),
inference(backward_demodulation,[],[f247,f243]) ).
fof(f243,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f247,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f646,plain,
( ~ spl0_6
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f645,f259,f250,f265]) ).
fof(f250,plain,
( spl0_3
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f259,plain,
( spl0_5
<=> memberP(sk4,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f645,plain,
( ~ ssItem(sk5)
| ~ spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f274,f71]) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f274,plain,
( memberP(nil,sk5)
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f261,f252]) ).
fof(f252,plain,
( nil = sk4
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f261,plain,
( memberP(sk4,sk5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f272,plain,
( ~ spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f207,f241,f250]) ).
fof(f207,plain,
( nil != sk3
| nil != sk4 ),
inference(definition_unfolding,[],[f203,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f203,axiom,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f271,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f193,f265,f241]) ).
fof(f193,axiom,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f269,plain,
( spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f198,f241,f259]) ).
fof(f198,axiom,
( nil = sk3
| memberP(sk4,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f268,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f192,f265,f250]) ).
fof(f192,axiom,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f263,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f194,f245,f250]) ).
fof(f194,axiom,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f253,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f209,f250,f241]) ).
fof(f209,plain,
( nil = sk4
| nil = sk3 ),
inference(definition_unfolding,[],[f200,f191,f190]) ).
fof(f200,axiom,
( nil = sk1
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC027-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n008.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 18:02:40 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.54 % (32563)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.21/0.55 % (32555)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.55 % (32555)Instruction limit reached!
% 0.21/0.55 % (32555)------------------------------
% 0.21/0.55 % (32555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (32545)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.56 % (32555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (32555)Termination reason: Unknown
% 0.21/0.56 % (32555)Termination phase: Property scanning
% 0.21/0.56
% 0.21/0.56 % (32555)Memory used [KB]: 1535
% 0.21/0.56 % (32555)Time elapsed: 0.006 s
% 0.21/0.56 % (32555)Instructions burned: 7 (million)
% 0.21/0.56 % (32555)------------------------------
% 0.21/0.56 % (32555)------------------------------
% 0.21/0.57 % (32562)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.57 % (32563)First to succeed.
% 0.21/0.57 % (32570)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.21/0.57 % (32563)Refutation found. Thanks to Tanya!
% 0.21/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57 % (32563)------------------------------
% 0.21/0.57 % (32563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (32563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (32563)Termination reason: Refutation
% 0.21/0.57
% 0.21/0.57 % (32563)Memory used [KB]: 11001
% 0.21/0.57 % (32563)Time elapsed: 0.143 s
% 0.21/0.57 % (32563)Instructions burned: 24 (million)
% 0.21/0.57 % (32563)------------------------------
% 0.21/0.57 % (32563)------------------------------
% 0.21/0.57 % (32544)Success in time 0.221 s
%------------------------------------------------------------------------------