TSTP Solution File: ITP010+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP010+1 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Mon May 20 22:30:32 EDT 2024
% Result : Theorem 0.66s 0.83s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 40 ( 21 ~; 10 |; 4 &)
% ( 3 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 24 ( 12 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,plain,
$false,
inference(subsumption_resolution,[],[f77,f78]) ).
fof(f78,plain,
p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4)))),
inference(duplicate_literal_removal,[],[f61]) ).
fof(f61,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4))))
| p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4)))) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4))))
| p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4)))) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4)))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f50,f51]) ).
fof(f51,plain,
( ? [X0,X1,X2,X3] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
| p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) ) )
=> ( ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4))))
| p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4)))) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4)))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0,X1,X2,X3] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
| p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
? [X0,X1,X2,X3] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
<~> ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
~ ! [X0,X1,X2,X3] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))) ),
inference(rectify,[],[f41]) ).
fof(f41,negated_conjecture,
~ ! [X0,X1,X14,X15] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X14),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15))))
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X14),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15)))) ),
inference(negated_conjecture,[],[f40]) ).
fof(f40,conjecture,
! [X0,X1,X14,X15] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X14),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15))))
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X14),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ecardinal_2ECARD__NOT__LE) ).
fof(f77,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4)))),
inference(duplicate_literal_removal,[],[f60]) ).
fof(f60,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool),sK3),s(tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool),sK4)))) ),
inference(cnf_transformation,[],[f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : ITP010+1 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.02/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 18:27:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.34 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/0.83 % (9432)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.66/0.83 % (9429)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.66/0.83 % (9431)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.66/0.83 % (9434)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.66/0.83 % (9430)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.66/0.83 % (9433)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.66/0.83 % (9435)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.66/0.83 % (9436)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.66/0.83 % (9434)Also succeeded, but the first one will report.
% 0.66/0.83 % (9432)First to succeed.
% 0.66/0.83 % (9431)Also succeeded, but the first one will report.
% 0.66/0.83 % (9436)Also succeeded, but the first one will report.
% 0.66/0.83 % (9432)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9428"
% 0.66/0.83 % (9429)Also succeeded, but the first one will report.
% 0.66/0.83 % (9432)Refutation found. Thanks to Tanya!
% 0.66/0.83 % SZS status Theorem for theBenchmark
% 0.66/0.83 % SZS output start Proof for theBenchmark
% See solution above
% 0.66/0.83 % (9432)------------------------------
% 0.66/0.83 % (9432)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.83 % (9432)Termination reason: Refutation
% 0.66/0.83
% 0.66/0.83 % (9432)Memory used [KB]: 1034
% 0.66/0.83 % (9432)Time elapsed: 0.003 s
% 0.66/0.83 % (9432)Instructions burned: 3 (million)
% 0.66/0.83 % (9428)Success in time 0.484 s
% 0.66/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------