TSTP Solution File: ITP010_3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP010_3 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n003.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 22:30:33 EDT 2024
% Result : Theorem 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 32
% Syntax : Number of formulae : 42 ( 3 unt; 30 typ; 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 : 2 ( 1 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 20 ( 12 >; 8 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 8 con; 0-4 aty)
% Number of variables : 42 ( 12 !; 12 ?; 42 :)
% ( 18 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
tyop_2Emin_2Ebool: $tType ).
tff(type_def_6,type,
tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).
tff(type_def_7,type,
sK1: $tType ).
tff(type_def_8,type,
sK2: $tType ).
tff(func_def_0,type,
app_2E2:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_1,type,
combin_i_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,X0) ).
tff(func_def_2,type,
combin_k_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)) ).
tff(func_def_3,type,
combin_s_2E0:
!>[X0: $tType,X1: $tType,X2: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2))) ).
tff(func_def_4,type,
c_2Ebool_2E_21_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(func_def_5,type,
c_2Ebool_2E_21_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(func_def_6,type,
c_2Ebool_2E_2F_5C_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_7,type,
c_2Ebool_2E_2F_5C_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_8,type,
c_2Emin_2E_3D_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) ).
tff(func_def_9,type,
c_2Emin_2E_3D_2E2:
!>[X0: $tType] : ( ( X0 * X0 ) > tyop_2Emin_2Ebool ) ).
tff(func_def_10,type,
c_2Emin_2E_3D_3D_3E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_11,type,
c_2Emin_2E_3D_3D_3E_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_12,type,
c_2Ebool_2E_3F_2E0:
!>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).
tff(func_def_13,type,
c_2Ebool_2E_3F_2E1:
!>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).
tff(func_def_14,type,
c_2Ebool_2EF_2E0: tyop_2Emin_2Ebool ).
tff(func_def_15,type,
c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool ).
tff(func_def_16,type,
c_2Ebool_2E_5C_2F_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).
tff(func_def_17,type,
c_2Ebool_2E_5C_2F_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).
tff(func_def_18,type,
c_2Ecardinal_2Ecardleq_2E0:
!>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)) ).
tff(func_def_19,type,
c_2Ecardinal_2Ecardleq_2E2:
!>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) * tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool) ) > tyop_2Emin_2Ebool ) ).
tff(func_def_20,type,
c_2Ebool_2E_7E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool) ).
tff(func_def_21,type,
c_2Ebool_2E_7E_2E1: tyop_2Emin_2Ebool > tyop_2Emin_2Ebool ).
tff(func_def_22,type,
sK3: tyop_2Emin_2Efun(sK1,tyop_2Emin_2Ebool) ).
tff(func_def_23,type,
sK4: tyop_2Emin_2Efun(sK2,tyop_2Emin_2Ebool) ).
tff(pred_def_1,type,
p: tyop_2Emin_2Ebool > $o ).
tff(pred_def_2,type,
sP0: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).
tff(f79,plain,
$false,
inference(subsumption_resolution,[],[f77,f78]) ).
tff(f78,plain,
p(c_2Ecardinal_2Ecardleq_2E2(sK1,sK2,sK3,sK4)),
inference(duplicate_literal_removal,[],[f61]) ).
tff(f61,plain,
( p(c_2Ecardinal_2Ecardleq_2E2(sK1,sK2,sK3,sK4))
| p(c_2Ecardinal_2Ecardleq_2E2(sK1,sK2,sK3,sK4)) ),
inference(cnf_transformation,[],[f52]) ).
tff(f52,plain,
( ( p(c_2Ecardinal_2Ecardleq_2E2(sK1,sK2,sK3,sK4))
| p(c_2Ecardinal_2Ecardleq_2E2(sK1,sK2,sK3,sK4)) )
& ( ~ p(c_2Ecardinal_2Ecardleq_2E2(sK1,sK2,sK3,sK4))
| ~ p(c_2Ecardinal_2Ecardleq_2E2(sK1,sK2,sK3,sK4)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f50,f51]) ).
tff(f51,plain,
( ? [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2Ecardinal_2Ecardleq_2E2(X0,X1,X2,X3))
| p(c_2Ecardinal_2Ecardleq_2E2(X0,X1,X2,X3)) )
& ( ~ p(c_2Ecardinal_2Ecardleq_2E2(X0,X1,X2,X3))
| ~ p(c_2Ecardinal_2Ecardleq_2E2(X0,X1,X2,X3)) ) )
=> ( ( p(c_2Ecardinal_2Ecardleq_2E2(sK1,sK2,sK3,sK4))
| p(c_2Ecardinal_2Ecardleq_2E2(sK1,sK2,sK3,sK4)) )
& ( ~ p(c_2Ecardinal_2Ecardleq_2E2(sK1,sK2,sK3,sK4))
| ~ p(c_2Ecardinal_2Ecardleq_2E2(sK1,sK2,sK3,sK4)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f50,plain,
? [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ( p(c_2Ecardinal_2Ecardleq_2E2(X0,X1,X2,X3))
| p(c_2Ecardinal_2Ecardleq_2E2(X0,X1,X2,X3)) )
& ( ~ p(c_2Ecardinal_2Ecardleq_2E2(X0,X1,X2,X3))
| ~ p(c_2Ecardinal_2Ecardleq_2E2(X0,X1,X2,X3)) ) ),
inference(nnf_transformation,[],[f47]) ).
tff(f47,plain,
? [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ~ p(c_2Ecardinal_2Ecardleq_2E2(X0,X1,X2,X3))
<~> ~ p(c_2Ecardinal_2Ecardleq_2E2(X0,X1,X2,X3)) ),
inference(ennf_transformation,[],[f42]) ).
tff(f42,plain,
~ ! [X0: $tType,X1: $tType,X2: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ~ p(c_2Ecardinal_2Ecardleq_2E2(X0,X1,X2,X3))
<=> ~ p(c_2Ecardinal_2Ecardleq_2E2(X0,X1,X2,X3)) ),
inference(rectify,[],[f41]) ).
tff(f41,negated_conjecture,
~ ! [X0: $tType,X1: $tType,X14: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X15: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ~ p(c_2Ecardinal_2Ecardleq_2E2(X0,X1,X14,X15))
<=> ~ p(c_2Ecardinal_2Ecardleq_2E2(X0,X1,X14,X15)) ),
inference(negated_conjecture,[],[f40]) ).
tff(f40,conjecture,
! [X0: $tType,X1: $tType,X14: tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X15: tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)] :
( ~ p(c_2Ecardinal_2Ecardleq_2E2(X0,X1,X14,X15))
<=> ~ p(c_2Ecardinal_2Ecardleq_2E2(X0,X1,X14,X15)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ecardinal_2ECARD__NOT__LE) ).
tff(f77,plain,
~ p(c_2Ecardinal_2Ecardleq_2E2(sK1,sK2,sK3,sK4)),
inference(duplicate_literal_removal,[],[f60]) ).
tff(f60,plain,
( ~ p(c_2Ecardinal_2Ecardleq_2E2(sK1,sK2,sK3,sK4))
| ~ p(c_2Ecardinal_2Ecardleq_2E2(sK1,sK2,sK3,sK4)) ),
inference(cnf_transformation,[],[f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : ITP010_3 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.08/0.16 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37 % Computer : n003.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 17:20:52 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TF1_THM_EQU_NAR problem
% 0.15/0.38 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/0.75 % (25776)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 (2996ds/56Mi)
% 0.57/0.75 % (25769)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 (2996ds/34Mi)
% 0.57/0.75 % (25771)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.75 % (25772)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.57/0.75 % (25776)First to succeed.
% 0.57/0.75 % (25776)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25768"
% 0.57/0.75 % (25775)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 (2996ds/83Mi)
% 0.57/0.75 % (25775)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.57/0.75 % (25772)Also succeeded, but the first one will report.
% 0.57/0.75 % (25776)Refutation found. Thanks to Tanya!
% 0.57/0.75 % SZS status Theorem for theBenchmark
% 0.57/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.75 % (25776)------------------------------
% 0.57/0.75 % (25776)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (25776)Termination reason: Refutation
% 0.57/0.75
% 0.57/0.75 % (25776)Memory used [KB]: 1047
% 0.57/0.75 % (25776)Time elapsed: 0.002 s
% 0.57/0.75 % (25776)Instructions burned: 3 (million)
% 0.57/0.75 % (25768)Success in time 0.371 s
% 0.57/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------