TSTP Solution File: ITP004_2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP004_2 : 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 : n026.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 22:29:56 EDT 2024
% Result : Theorem 0.58s 0.76s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 30
% Syntax : Number of formulae : 62 ( 17 unt; 23 typ; 0 def)
% Number of atoms : 240 ( 8 equ)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 100 ( 38 ~; 30 |; 4 &)
% ( 7 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 139 ( 139 fml; 0 var)
% Number of types : 4 ( 2 usr)
% Number of type conns : 27 ( 18 >; 9 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 3 con; 0-3 aty)
% Number of variables : 75 ( 73 !; 2 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
del: $tType ).
tff(type_def_6,type,
tp__o: $tType ).
tff(func_def_0,type,
bool: del ).
tff(func_def_1,type,
ind: del ).
tff(func_def_2,type,
arr: ( del * del ) > del ).
tff(func_def_4,type,
k: ( del * $i ) > $i ).
tff(func_def_5,type,
i: del > $i ).
tff(func_def_6,type,
inj__o: tp__o > $i ).
tff(func_def_7,type,
surj__o: $i > tp__o ).
tff(func_def_9,type,
fo__c_2Emin_2E_3D_3D_3E: ( tp__o * tp__o ) > tp__o ).
tff(func_def_10,type,
c_2Epred__set_2ESUBSET: del > $i ).
tff(func_def_12,type,
fo__c_2Ebool_2E_7E: tp__o > tp__o ).
tff(func_def_14,type,
fo__c_2Ebool_2E_2F_5C: ( tp__o * tp__o ) > tp__o ).
tff(func_def_15,type,
c_2Ebool_2EIN: del > $i ).
tff(func_def_16,type,
c_2Epred__set_2ECHOICE: del > $i ).
tff(func_def_17,type,
c_2Epred__set_2EDELETE: del > $i ).
tff(func_def_18,type,
c_2Epred__set_2EREST: del > $i ).
tff(func_def_19,type,
c_2Emin_2E_3D: del > $i ).
tff(func_def_20,type,
c_2Ebool_2E_21: del > $i ).
tff(func_def_21,type,
sK0: del ).
tff(func_def_23,type,
sK2: ( del * $i * $i ) > $i ).
tff(func_def_24,type,
sK3: ( del * $i * $i ) > $i ).
tff(pred_def_1,type,
mem: ( $i * del ) > $o ).
tff(f430,plain,
$false,
inference(subsumption_resolution,[],[f429,f90]) ).
tff(f90,plain,
p(ap(ap(c_2Ebool_2EIN(sK0),sK3(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)),ap(c_2Epred__set_2EREST(sK0),sK1))),
inference(unit_resulting_resolution,[],[f53,f54,f77,f62]) ).
tff(f62,plain,
! [X2: $i,X0: del,X1: $i] :
( p(ap(ap(c_2Ebool_2EIN(X0),sK3(X0,X1,X2)),X1))
| ~ mem(X2,arr(X0,bool))
| ~ mem(X1,arr(X0,bool))
| p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2)) ),
inference(cnf_transformation,[],[f50]) ).
tff(f50,plain,
! [X0: del,X1] :
( ! [X2] :
( ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
<=> ! [X3] :
( p(ap(ap(c_2Ebool_2EIN(X0),X3),X2))
| ~ p(ap(ap(c_2Ebool_2EIN(X0),X3),X1))
| ~ mem(X3,X0) ) )
| ~ mem(X2,arr(X0,bool)) )
| ~ mem(X1,arr(X0,bool)) ),
inference(flattening,[],[f49]) ).
tff(f49,plain,
! [X0: del,X1] :
( ! [X2] :
( ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
<=> ! [X3] :
( p(ap(ap(c_2Ebool_2EIN(X0),X3),X2))
| ~ p(ap(ap(c_2Ebool_2EIN(X0),X3),X1))
| ~ mem(X3,X0) ) )
| ~ mem(X2,arr(X0,bool)) )
| ~ mem(X1,arr(X0,bool)) ),
inference(ennf_transformation,[],[f35]) ).
tff(f35,plain,
! [X0: del,X1] :
( mem(X1,arr(X0,bool))
=> ! [X2] :
( mem(X2,arr(X0,bool))
=> ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
<=> ! [X3] :
( mem(X3,X0)
=> ( p(ap(ap(c_2Ebool_2EIN(X0),X3),X1))
=> p(ap(ap(c_2Ebool_2EIN(X0),X3),X2)) ) ) ) ) ),
inference(rectify,[],[f27]) ).
tff(f27,axiom,
! [X10: del,X11] :
( mem(X11,arr(X10,bool))
=> ! [X12] :
( mem(X12,arr(X10,bool))
=> ( p(ap(ap(c_2Epred__set_2ESUBSET(X10),X11),X12))
<=> ! [X13] :
( mem(X13,X10)
=> ( p(ap(ap(c_2Ebool_2EIN(X10),X13),X11))
=> p(ap(ap(c_2Ebool_2EIN(X10),X13),X12)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_thm_2Epred__set_2ESUBSET__DEF) ).
tff(f77,plain,
mem(ap(c_2Epred__set_2EREST(sK0),sK1),arr(sK0,bool)),
inference(unit_resulting_resolution,[],[f66,f53,f59]) ).
tff(f59,plain,
! [X2: $i,X3: $i,X0: del,X1: del] :
( ~ mem(X2,arr(X0,X1))
| ~ mem(X3,X0)
| mem(ap(X2,X3),X1) ),
inference(cnf_transformation,[],[f48]) ).
tff(f48,plain,
! [X0: del,X1: del,X2] :
( ! [X3] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0) )
| ~ mem(X2,arr(X0,X1)) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: del,X1: del,X2] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_tp) ).
tff(f66,plain,
! [X0: del] : mem(c_2Epred__set_2EREST(X0),arr(arr(X0,bool),arr(X0,bool))),
inference(cnf_transformation,[],[f38]) ).
tff(f38,plain,
! [X0: del] : mem(c_2Epred__set_2EREST(X0),arr(arr(X0,bool),arr(X0,bool))),
inference(rectify,[],[f22]) ).
tff(f22,axiom,
! [X10: del] : mem(c_2Epred__set_2EREST(X10),arr(arr(X10,bool),arr(X10,bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Epred__set_2EREST) ).
tff(f54,plain,
~ p(ap(ap(c_2Epred__set_2ESUBSET(sK0),ap(c_2Epred__set_2EREST(sK0),sK1)),sK1)),
inference(cnf_transformation,[],[f43]) ).
tff(f43,plain,
? [X0: del,X1] :
( ~ p(ap(ap(c_2Epred__set_2ESUBSET(X0),ap(c_2Epred__set_2EREST(X0),X1)),X1))
& mem(X1,arr(X0,bool)) ),
inference(ennf_transformation,[],[f32]) ).
tff(f32,plain,
~ ! [X0: del,X1] :
( mem(X1,arr(X0,bool))
=> p(ap(ap(c_2Epred__set_2ESUBSET(X0),ap(c_2Epred__set_2EREST(X0),X1)),X1)) ),
inference(rectify,[],[f31]) ).
tff(f31,negated_conjecture,
~ ! [X10: del,X11] :
( mem(X11,arr(X10,bool))
=> p(ap(ap(c_2Epred__set_2ESUBSET(X10),ap(c_2Epred__set_2EREST(X10),X11)),X11)) ),
inference(negated_conjecture,[],[f30]) ).
tff(f30,conjecture,
! [X10: del,X11] :
( mem(X11,arr(X10,bool))
=> p(ap(ap(c_2Epred__set_2ESUBSET(X10),ap(c_2Epred__set_2EREST(X10),X11)),X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EREST__SUBSET) ).
tff(f53,plain,
mem(sK1,arr(sK0,bool)),
inference(cnf_transformation,[],[f43]) ).
tff(f429,plain,
~ p(ap(ap(c_2Ebool_2EIN(sK0),sK3(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)),ap(c_2Epred__set_2EREST(sK0),sK1))),
inference(forward_demodulation,[],[f423,f75]) ).
tff(f75,plain,
ap(c_2Epred__set_2EREST(sK0),sK1) = ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),ap(c_2Epred__set_2ECHOICE(sK0),sK1)),
inference(unit_resulting_resolution,[],[f53,f65]) ).
tff(f65,plain,
! [X0: del,X1: $i] :
( ~ mem(X1,arr(X0,bool))
| ( ap(c_2Epred__set_2EREST(X0),X1) = ap(ap(c_2Epred__set_2EDELETE(X0),X1),ap(c_2Epred__set_2ECHOICE(X0),X1)) ) ),
inference(cnf_transformation,[],[f51]) ).
tff(f51,plain,
! [X0: del,X1] :
( ( ap(c_2Epred__set_2EREST(X0),X1) = ap(ap(c_2Epred__set_2EDELETE(X0),X1),ap(c_2Epred__set_2ECHOICE(X0),X1)) )
| ~ mem(X1,arr(X0,bool)) ),
inference(ennf_transformation,[],[f37]) ).
tff(f37,plain,
! [X0: del,X1] :
( mem(X1,arr(X0,bool))
=> ( ap(c_2Epred__set_2EREST(X0),X1) = ap(ap(c_2Epred__set_2EDELETE(X0),X1),ap(c_2Epred__set_2ECHOICE(X0),X1)) ) ),
inference(rectify,[],[f29]) ).
tff(f29,axiom,
! [X10: del,X11] :
( mem(X11,arr(X10,bool))
=> ( ap(c_2Epred__set_2EREST(X10),X11) = ap(ap(c_2Epred__set_2EDELETE(X10),X11),ap(c_2Epred__set_2ECHOICE(X10),X11)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_thm_2Epred__set_2EREST__DEF) ).
tff(f423,plain,
~ p(ap(ap(c_2Ebool_2EIN(sK0),sK3(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)),ap(ap(c_2Epred__set_2EDELETE(sK0),sK1),ap(c_2Epred__set_2ECHOICE(sK0),sK1)))),
inference(unit_resulting_resolution,[],[f80,f53,f89,f91,f67]) ).
tff(f67,plain,
! [X2: $i,X3: $i,X0: del,X1: $i] :
( ~ p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
| ~ mem(X2,X0)
| ~ mem(X3,X0)
| p(ap(ap(c_2Ebool_2EIN(X0),X2),X1))
| ~ mem(X1,arr(X0,bool)) ),
inference(cnf_transformation,[],[f52]) ).
tff(f52,plain,
! [X0: del,X1] :
( ! [X2] :
( ! [X3] :
( ( p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
<=> ( ( X2 != X3 )
& p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)) ) )
| ~ mem(X3,X0) )
| ~ mem(X2,X0) )
| ~ mem(X1,arr(X0,bool)) ),
inference(ennf_transformation,[],[f39]) ).
tff(f39,plain,
! [X0: del,X1] :
( mem(X1,arr(X0,bool))
=> ! [X2] :
( mem(X2,X0)
=> ! [X3] :
( mem(X3,X0)
=> ( p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
<=> ( ( X2 != X3 )
& p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)) ) ) ) ) ),
inference(rectify,[],[f28]) ).
tff(f28,axiom,
! [X10: del,X11] :
( mem(X11,arr(X10,bool))
=> ! [X14] :
( mem(X14,X10)
=> ! [X15] :
( mem(X15,X10)
=> ( p(ap(ap(c_2Ebool_2EIN(X10),X14),ap(ap(c_2Epred__set_2EDELETE(X10),X11),X15)))
<=> ( ( X14 != X15 )
& p(ap(ap(c_2Ebool_2EIN(X10),X14),X11)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EIN__DELETE) ).
tff(f91,plain,
~ p(ap(ap(c_2Ebool_2EIN(sK0),sK3(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1)),sK1)),
inference(unit_resulting_resolution,[],[f53,f54,f77,f63]) ).
tff(f63,plain,
! [X2: $i,X0: del,X1: $i] :
( ~ p(ap(ap(c_2Ebool_2EIN(X0),sK3(X0,X1,X2)),X2))
| ~ mem(X2,arr(X0,bool))
| ~ mem(X1,arr(X0,bool))
| p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2)) ),
inference(cnf_transformation,[],[f50]) ).
tff(f89,plain,
mem(sK3(sK0,ap(c_2Epred__set_2EREST(sK0),sK1),sK1),sK0),
inference(unit_resulting_resolution,[],[f53,f54,f77,f61]) ).
tff(f61,plain,
! [X2: $i,X0: del,X1: $i] :
( ~ mem(X2,arr(X0,bool))
| ~ mem(X1,arr(X0,bool))
| mem(sK3(X0,X1,X2),X0)
| p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2)) ),
inference(cnf_transformation,[],[f50]) ).
tff(f80,plain,
mem(ap(c_2Epred__set_2ECHOICE(sK0),sK1),sK0),
inference(unit_resulting_resolution,[],[f71,f53,f59]) ).
tff(f71,plain,
! [X0: del] : mem(c_2Epred__set_2ECHOICE(X0),arr(arr(X0,bool),X0)),
inference(cnf_transformation,[],[f41]) ).
tff(f41,plain,
! [X0: del] : mem(c_2Epred__set_2ECHOICE(X0),arr(arr(X0,bool),X0)),
inference(rectify,[],[f20]) ).
tff(f20,axiom,
! [X10: del] : mem(c_2Epred__set_2ECHOICE(X10),arr(arr(X10,bool),X10)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Epred__set_2ECHOICE) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP004_2 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 16:29:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TF0_THM_EQU_NAR problem
% 0.14/0.35 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
% 0.53/0.74 % (19221)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)
% 0.53/0.74 % (19216)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.53/0.74 % (19214)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)
% 0.53/0.74 % (19217)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)
% 0.53/0.74 % (19218)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 (2996ds/34Mi)
% 0.53/0.74 % (19219)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.53/0.74 % (19215)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 (2996ds/51Mi)
% 0.53/0.74 % (19221)Refutation not found, incomplete strategy% (19221)------------------------------
% 0.53/0.74 % (19221)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74 % (19221)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.74 % (19221)Memory used [KB]: 1074
% 0.53/0.74 % (19221)Time elapsed: 0.002 s
% 0.53/0.74 % (19221)Instructions burned: 3 (million)
% 0.53/0.74 % (19220)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)
% 0.53/0.74 % (19221)------------------------------
% 0.53/0.74 % (19221)------------------------------
% 0.53/0.74 % (19219)Refutation not found, incomplete strategy% (19219)------------------------------
% 0.53/0.74 % (19219)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74 % (19219)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74
% 0.53/0.74 % (19219)Memory used [KB]: 1074
% 0.53/0.74 % (19219)Time elapsed: 0.004 s
% 0.53/0.74 % (19219)Instructions burned: 4 (million)
% 0.53/0.74 % (19219)------------------------------
% 0.53/0.74 % (19219)------------------------------
% 0.53/0.74 % (19222)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.58/0.75 % (19223)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.58/0.75 % (19220)First to succeed.
% 0.58/0.75 % (19218)Instruction limit reached!
% 0.58/0.75 % (19218)------------------------------
% 0.58/0.75 % (19218)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (19218)Termination reason: Unknown
% 0.58/0.75 % (19218)Termination phase: Saturation
% 0.58/0.75
% 0.58/0.75 % (19218)Memory used [KB]: 1379
% 0.58/0.75 % (19218)Time elapsed: 0.018 s
% 0.58/0.75 % (19218)Instructions burned: 35 (million)
% 0.58/0.75 % (19218)------------------------------
% 0.58/0.75 % (19218)------------------------------
% 0.58/0.75 % (19216)Also succeeded, but the first one will report.
% 0.58/0.75 % (19220)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19213"
% 0.58/0.76 % (19220)Refutation found. Thanks to Tanya!
% 0.58/0.76 % SZS status Theorem for theBenchmark
% 0.58/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.76 % (19220)------------------------------
% 0.58/0.76 % (19220)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (19220)Termination reason: Refutation
% 0.58/0.76
% 0.58/0.76 % (19220)Memory used [KB]: 1289
% 0.58/0.76 % (19220)Time elapsed: 0.018 s
% 0.58/0.76 % (19220)Instructions burned: 27 (million)
% 0.58/0.76 % (19213)Success in time 0.395 s
% 0.58/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------