TSTP Solution File: SWC026+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC026+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.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 : Tue Apr 30 15:47:22 EDT 2024
% Result : Theorem 0.22s 0.40s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 43 ( 7 unt; 0 def)
% Number of atoms : 235 ( 161 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 277 ( 85 ~; 71 |; 104 &)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 32 ( 8 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f678,plain,
$false,
inference(avatar_sat_refutation,[],[f651,f656,f665,f671,f672,f673,f676,f677]) ).
fof(f677,plain,
( spl69_4
| ~ spl69_3
| ~ spl69_5 ),
inference(avatar_split_clause,[],[f674,f668,f658,f662]) ).
fof(f662,plain,
( spl69_4
<=> nil = sK20 ),
introduced(avatar_definition,[new_symbols(naming,[spl69_4])]) ).
fof(f658,plain,
( spl69_3
<=> nil = sK21 ),
introduced(avatar_definition,[new_symbols(naming,[spl69_3])]) ).
fof(f668,plain,
( spl69_5
<=> sK20 = sK21 ),
introduced(avatar_definition,[new_symbols(naming,[spl69_5])]) ).
fof(f674,plain,
( nil = sK20
| ~ spl69_3
| ~ spl69_5 ),
inference(forward_demodulation,[],[f660,f669]) ).
fof(f669,plain,
( sK20 = sK21
| ~ spl69_5 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f660,plain,
( nil = sK21
| ~ spl69_3 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f676,plain,
( ~ spl69_5
| ~ spl69_4 ),
inference(avatar_split_clause,[],[f644,f662,f668]) ).
fof(f644,plain,
( nil != sK20
| sK20 != sK21 ),
inference(inner_rewriting,[],[f643]) ).
fof(f643,plain,
( nil != sK21
| sK20 != sK21 ),
inference(inner_rewriting,[],[f603]) ).
fof(f603,plain,
( nil != sK21
| nil != sK20 ),
inference(definition_unfolding,[],[f385,f378,f379]) ).
fof(f379,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ( ( nil != sK19
& nil = sK18 )
| ( nil != sK18
& nil = sK19 ) )
& ( nil != sK21
| nil = sK20 )
& ( nil != sK20
| nil = sK21 )
& sK18 = sK20
& sK19 = sK21
& ssList(sK21)
& ssList(sK20)
& ssList(sK19)
& ssList(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f99,f253,f252,f251,f250]) ).
fof(f250,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = X0 )
| ( nil != X0
& nil = X1 ) )
& ( nil != X3
| nil = X2 )
& ( nil != X2
| nil = X3 )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = sK18 )
| ( nil != sK18
& nil = X1 ) )
& ( nil != X3
| nil = X2 )
& ( nil != X2
| nil = X3 )
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = sK18 )
| ( nil != sK18
& nil = X1 ) )
& ( nil != X3
| nil = X2 )
& ( nil != X2
| nil = X3 )
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil != sK19
& nil = sK18 )
| ( nil != sK18
& nil = sK19 ) )
& ( nil != X3
| nil = X2 )
& ( nil != X2
| nil = X3 )
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil != sK19
& nil = sK18 )
| ( nil != sK18
& nil = sK19 ) )
& ( nil != X3
| nil = X2 )
& ( nil != X2
| nil = X3 )
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil != sK19
& nil = sK18 )
| ( nil != sK18
& nil = sK19 ) )
& ( nil != X3
| nil = sK20 )
& ( nil != sK20
| nil = X3 )
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X3] :
( ( ( nil != sK19
& nil = sK18 )
| ( nil != sK18
& nil = sK19 ) )
& ( nil != X3
| nil = sK20 )
& ( nil != sK20
| nil = X3 )
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
=> ( ( ( nil != sK19
& nil = sK18 )
| ( nil != sK18
& nil = sK19 ) )
& ( nil != sK21
| nil = sK20 )
& ( nil != sK20
| nil = sK21 )
& sK18 = sK20
& sK19 = sK21
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = X0 )
| ( nil != X0
& nil = X1 ) )
& ( nil != X3
| nil = X2 )
& ( nil != X2
| nil = X3 )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = X0 )
| ( nil != X0
& nil = X1 ) )
& ( nil != X3
| nil = X2 )
& ( nil != X2
| nil = X3 )
& 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)
=> ( ( ( nil = X1
| nil != X0 )
& ( nil = X0
| nil != X1 ) )
| ( nil = X3
& nil != X2 )
| ( nil = X2
& nil != X3 )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil = X1
| nil != X0 )
& ( nil = X0
| nil != X1 ) )
| ( nil = X3
& nil != X2 )
| ( nil = X2
& nil != X3 )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f378,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f254]) ).
fof(f385,plain,
( nil != sK19
| nil != sK18 ),
inference(cnf_transformation,[],[f254]) ).
fof(f673,plain,
( spl69_5
| ~ spl69_4 ),
inference(avatar_split_clause,[],[f646,f662,f668]) ).
fof(f646,plain,
( nil != sK20
| sK20 = sK21 ),
inference(inner_rewriting,[],[f380]) ).
fof(f380,plain,
( nil != sK20
| nil = sK21 ),
inference(cnf_transformation,[],[f254]) ).
fof(f672,plain,
( spl69_5
| ~ spl69_3 ),
inference(avatar_split_clause,[],[f645,f658,f668]) ).
fof(f645,plain,
( nil != sK21
| sK20 = sK21 ),
inference(inner_rewriting,[],[f381]) ).
fof(f381,plain,
( nil != sK21
| nil = sK20 ),
inference(cnf_transformation,[],[f254]) ).
fof(f671,plain,
( ~ spl69_5
| spl69_3
| ~ spl69_4 ),
inference(avatar_split_clause,[],[f666,f662,f658,f668]) ).
fof(f666,plain,
( sK20 != sK21
| spl69_3
| ~ spl69_4 ),
inference(forward_demodulation,[],[f659,f664]) ).
fof(f664,plain,
( nil = sK20
| ~ spl69_4 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f659,plain,
( nil != sK21
| spl69_3 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f665,plain,
( spl69_3
| spl69_4 ),
inference(avatar_split_clause,[],[f606,f662,f658]) ).
fof(f606,plain,
( nil = sK20
| nil = sK21 ),
inference(definition_unfolding,[],[f382,f379,f378]) ).
fof(f382,plain,
( nil = sK18
| nil = sK19 ),
inference(cnf_transformation,[],[f254]) ).
fof(f656,plain,
spl69_2,
inference(avatar_split_clause,[],[f377,f653]) ).
fof(f653,plain,
( spl69_2
<=> ssList(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_2])]) ).
fof(f377,plain,
ssList(sK21),
inference(cnf_transformation,[],[f254]) ).
fof(f651,plain,
spl69_1,
inference(avatar_split_clause,[],[f376,f648]) ).
fof(f648,plain,
( spl69_1
<=> ssList(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_1])]) ).
fof(f376,plain,
ssList(sK20),
inference(cnf_transformation,[],[f254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC026+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 04:08:44 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (7627)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39 % (7630)WARNING: value z3 for option sas not known
% 0.22/0.39 % (7631)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39 % (7628)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39 % (7629)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (7632)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.39 % (7630)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39 % (7634)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.39 % (7633)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.40 % (7632)First to succeed.
% 0.22/0.40 % (7633)Also succeeded, but the first one will report.
% 0.22/0.40 % (7632)Refutation found. Thanks to Tanya!
% 0.22/0.40 % SZS status Theorem for theBenchmark
% 0.22/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40 % (7632)------------------------------
% 0.22/0.40 % (7632)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.40 % (7632)Termination reason: Refutation
% 0.22/0.40
% 0.22/0.40 % (7632)Memory used [KB]: 1241
% 0.22/0.40 % (7632)Time elapsed: 0.012 s
% 0.22/0.40 % (7632)Instructions burned: 18 (million)
% 0.22/0.40 % (7632)------------------------------
% 0.22/0.40 % (7632)------------------------------
% 0.22/0.40 % (7627)Success in time 0.031 s
%------------------------------------------------------------------------------