TSTP Solution File: ALG194+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG194+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 : Mon May 20 18:35:36 EDT 2024
% Result : Theorem 0.23s 0.43s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 27 ( 2 unt; 0 def)
% Number of atoms : 178 ( 155 equ)
% Maximal formula atoms : 28 ( 6 avg)
% Number of connectives : 248 ( 97 ~; 85 |; 66 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f543,plain,
$false,
inference(global_subsumption,[],[f20,f19,f18,f17,f16,f15,f14,f27,f26,f25,f24,f23,f22,f21,f30,f29,f542,f28]) ).
fof(f28,plain,
( e6 = op(e6,e6)
| e5 = op(e5,e5)
| e4 = op(e4,e4)
| e3 = op(e3,e3)
| e2 = op(e2,e2)
| e1 = op(e1,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( sP1
| sP0 )
& ( e6 != op(e6,e6)
| e5 != op(e5,e5)
| e4 != op(e4,e4)
| e3 != op(e3,e3)
| e2 != op(e2,e2)
| e1 != op(e1,e1)
| e0 != op(e0,e0) )
& ( e6 = op(e6,e6)
| e5 = op(e5,e5)
| e4 = op(e4,e4)
| e3 = op(e3,e3)
| e2 = op(e2,e2)
| e1 = op(e1,e1)
| e0 = op(e0,e0) ) ),
inference(definition_folding,[],[f8,f10,f9]) ).
fof(f9,plain,
( ( e6 != op(e6,e6)
& e5 != op(e5,e5)
& e4 != op(e4,e4)
& e3 != op(e3,e3)
& e2 != op(e2,e2)
& e1 != op(e1,e1)
& e0 != op(e0,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,plain,
( ( e6 = op(e6,e6)
& e5 = op(e5,e5)
& e4 = op(e4,e4)
& e3 = op(e3,e3)
& e2 = op(e2,e2)
& e1 = op(e1,e1)
& e0 = op(e0,e0) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f8,plain,
( ( ( e6 = op(e6,e6)
& e5 = op(e5,e5)
& e4 = op(e4,e4)
& e3 = op(e3,e3)
& e2 = op(e2,e2)
& e1 = op(e1,e1)
& e0 = op(e0,e0) )
| ( e6 != op(e6,e6)
& e5 != op(e5,e5)
& e4 != op(e4,e4)
& e3 != op(e3,e3)
& e2 != op(e2,e2)
& e1 != op(e1,e1)
& e0 != op(e0,e0) ) )
& ( e6 != op(e6,e6)
| e5 != op(e5,e5)
| e4 != op(e4,e4)
| e3 != op(e3,e3)
| e2 != op(e2,e2)
| e1 != op(e1,e1)
| e0 != op(e0,e0) )
& ( e6 = op(e6,e6)
| e5 = op(e5,e5)
| e4 = op(e4,e4)
| e3 = op(e3,e3)
| e2 = op(e2,e2)
| e1 = op(e1,e1)
| e0 = op(e0,e0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,negated_conjecture,
~ ( ( ( e6 != op(e6,e6)
| e5 != op(e5,e5)
| e4 != op(e4,e4)
| e3 != op(e3,e3)
| e2 != op(e2,e2)
| e1 != op(e1,e1)
| e0 != op(e0,e0) )
& ( e6 = op(e6,e6)
| e5 = op(e5,e5)
| e4 = op(e4,e4)
| e3 = op(e3,e3)
| e2 = op(e2,e2)
| e1 = op(e1,e1)
| e0 = op(e0,e0) ) )
| ( e6 = op(e6,e6)
& e5 = op(e5,e5)
& e4 = op(e4,e4)
& e3 = op(e3,e3)
& e2 = op(e2,e2)
& e1 = op(e1,e1)
& e0 = op(e0,e0) )
| ( e6 != op(e6,e6)
& e5 != op(e5,e5)
& e4 != op(e4,e4)
& e3 != op(e3,e3)
& e2 != op(e2,e2)
& e1 != op(e1,e1)
& e0 != op(e0,e0) ) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
( ( ( e6 != op(e6,e6)
| e5 != op(e5,e5)
| e4 != op(e4,e4)
| e3 != op(e3,e3)
| e2 != op(e2,e2)
| e1 != op(e1,e1)
| e0 != op(e0,e0) )
& ( e6 = op(e6,e6)
| e5 = op(e5,e5)
| e4 = op(e4,e4)
| e3 = op(e3,e3)
| e2 = op(e2,e2)
| e1 = op(e1,e1)
| e0 = op(e0,e0) ) )
| ( e6 = op(e6,e6)
& e5 = op(e5,e5)
& e4 = op(e4,e4)
& e3 = op(e3,e3)
& e2 = op(e2,e2)
& e1 = op(e1,e1)
& e0 = op(e0,e0) )
| ( e6 != op(e6,e6)
& e5 != op(e5,e5)
& e4 != op(e4,e4)
& e3 != op(e3,e3)
& e2 != op(e2,e2)
& e1 != op(e1,e1)
& e0 != op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f542,plain,
e0 != op(e0,e0),
inference(global_subsumption,[],[f20,f19,f18,f17,f16,f15,f14,f27,f26,f25,f24,f23,f22,f21,f30,f29]) ).
fof(f29,plain,
( e6 != op(e6,e6)
| e5 != op(e5,e5)
| e4 != op(e4,e4)
| e3 != op(e3,e3)
| e2 != op(e2,e2)
| e1 != op(e1,e1)
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
( sP1
| sP0 ),
inference(cnf_transformation,[],[f11]) ).
fof(f21,plain,
( e0 != op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( e6 != op(e6,e6)
& e5 != op(e5,e5)
& e4 != op(e4,e4)
& e3 != op(e3,e3)
& e2 != op(e2,e2)
& e1 != op(e1,e1)
& e0 != op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f9]) ).
fof(f22,plain,
( e1 != op(e1,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f23,plain,
( e2 != op(e2,e2)
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f24,plain,
( e3 != op(e3,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f25,plain,
( e4 != op(e4,e4)
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f26,plain,
( e5 != op(e5,e5)
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f27,plain,
( e6 != op(e6,e6)
| ~ sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f14,plain,
( e0 = op(e0,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
( ( e6 = op(e6,e6)
& e5 = op(e5,e5)
& e4 = op(e4,e4)
& e3 = op(e3,e3)
& e2 = op(e2,e2)
& e1 = op(e1,e1)
& e0 = op(e0,e0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f10]) ).
fof(f15,plain,
( e1 = op(e1,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f16,plain,
( e2 = op(e2,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f17,plain,
( e3 = op(e3,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f18,plain,
( e4 = op(e4,e4)
| ~ sP1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f19,plain,
( e5 = op(e5,e5)
| ~ sP1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f20,plain,
( e6 = op(e6,e6)
| ~ sP1 ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG194+1 : TPTP v8.2.0. Released v2.7.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37 % Computer : n021.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat May 18 22:48:53 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (3558)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.41 % (3561)WARNING: value z3 for option sas not known
% 0.23/0.42 % (3560)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.23/0.42 % (3562)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.23/0.42 % (3559)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.23/0.42 % (3563)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)
% 0.23/0.42 % (3561)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)
% 0.23/0.42 % (3565)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)
% 0.23/0.42 % (3564)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)
% 0.23/0.42 % (3561)First to succeed.
% 0.23/0.42 % (3561)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3558"
% 0.23/0.43 % (3561)Refutation found. Thanks to Tanya!
% 0.23/0.43 % SZS status Theorem for theBenchmark
% 0.23/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.43 % (3561)------------------------------
% 0.23/0.43 % (3561)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.43 % (3561)Termination reason: Refutation
% 0.23/0.43
% 0.23/0.43 % (3561)Memory used [KB]: 1023
% 0.23/0.43 % (3561)Time elapsed: 0.009 s
% 0.23/0.43 % (3561)Instructions burned: 15 (million)
% 0.23/0.43 % (3558)Success in time 0.051 s
%------------------------------------------------------------------------------