TSTP Solution File: SEU325+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU325+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n028.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 : Wed May 1 03:51:55 EDT 2024
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 20 unt; 0 def)
% Number of atoms : 97 ( 24 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 88 ( 35 ~; 20 |; 20 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 38 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f431,plain,
$false,
inference(subsumption_resolution,[],[f428,f166]) ).
fof(f166,plain,
empty(sK1),
inference(definition_unfolding,[],[f103,f87]) ).
fof(f87,plain,
empty_set = sK1,
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
? [X0] :
( ? [X1] :
( empty_set = X1
& is_a_cover_of_carrier(X0,X1)
& element(X1,powerset(powerset(the_carrier(X0)))) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
? [X0] :
( ? [X1] :
( empty_set = X1
& is_a_cover_of_carrier(X0,X1)
& element(X1,powerset(powerset(the_carrier(X0)))) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,negated_conjecture,
~ ! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ~ ( empty_set = X1
& is_a_cover_of_carrier(X0,X1) ) ) ),
inference(negated_conjecture,[],[f46]) ).
fof(f46,conjecture,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ~ ( empty_set = X1
& is_a_cover_of_carrier(X0,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.52Vo2rxuSn/Vampire---4.8_23914',t5_tops_2) ).
fof(f103,plain,
empty(empty_set),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
( v5_membered(empty_set)
& v4_membered(empty_set)
& v3_membered(empty_set)
& v2_membered(empty_set)
& v1_membered(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/tmp/tmp.52Vo2rxuSn/Vampire---4.8_23914',fc6_membered) ).
fof(f428,plain,
~ empty(sK1),
inference(superposition,[],[f176,f356]) ).
fof(f356,plain,
sK1 = cast_as_carrier_subset(sK0),
inference(forward_demodulation,[],[f355,f352]) ).
fof(f352,plain,
sK1 = union_of_subsets(cast_as_carrier_subset(sK0),sK1),
inference(forward_demodulation,[],[f351,f175]) ).
fof(f175,plain,
the_carrier(sK0) = cast_as_carrier_subset(sK0),
inference(unit_resulting_resolution,[],[f89,f100]) ).
fof(f100,plain,
! [X0] :
( ~ one_sorted_str(X0)
| cast_as_carrier_subset(X0) = the_carrier(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( cast_as_carrier_subset(X0) = the_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
file('/export/starexec/sandbox/tmp/tmp.52Vo2rxuSn/Vampire---4.8_23914',d3_pre_topc) ).
fof(f89,plain,
one_sorted_str(sK0),
inference(cnf_transformation,[],[f52]) ).
fof(f351,plain,
sK1 = union_of_subsets(the_carrier(sK0),sK1),
inference(forward_demodulation,[],[f327,f321]) ).
fof(f321,plain,
sK1 = union(sK1),
inference(unit_resulting_resolution,[],[f228,f316,f152]) ).
fof(f152,plain,
! [X0,X1] :
( sP10(sK9(X0,X1),X0)
| in(sK9(X0,X1),X1)
| union(X0) = X1 ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( union(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,X0)
& in(X2,X3) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.52Vo2rxuSn/Vampire---4.8_23914',d4_tarski) ).
fof(f316,plain,
! [X0] : ~ sP10(X0,sK1),
inference(unit_resulting_resolution,[],[f228,f149]) ).
fof(f149,plain,
! [X2,X0] :
( in(sK11(X0,X2),X0)
| ~ sP10(X2,X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f228,plain,
! [X0] : ~ in(X0,sK1),
inference(unit_resulting_resolution,[],[f166,f154]) ).
fof(f154,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.52Vo2rxuSn/Vampire---4.8_23914',t7_boole) ).
fof(f327,plain,
union_of_subsets(the_carrier(sK0),sK1) = union(sK1),
inference(unit_resulting_resolution,[],[f85,f145]) ).
fof(f145,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| union_of_subsets(X0,X1) = union(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( union_of_subsets(X0,X1) = union(X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> union_of_subsets(X0,X1) = union(X1) ),
file('/export/starexec/sandbox/tmp/tmp.52Vo2rxuSn/Vampire---4.8_23914',redefinition_k5_setfam_1) ).
fof(f85,plain,
element(sK1,powerset(powerset(the_carrier(sK0)))),
inference(cnf_transformation,[],[f52]) ).
fof(f355,plain,
cast_as_carrier_subset(sK0) = union_of_subsets(cast_as_carrier_subset(sK0),sK1),
inference(forward_demodulation,[],[f325,f175]) ).
fof(f325,plain,
cast_as_carrier_subset(sK0) = union_of_subsets(the_carrier(sK0),sK1),
inference(unit_resulting_resolution,[],[f89,f86,f85,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ one_sorted_str(X0)
| cast_as_carrier_subset(X0) = union_of_subsets(the_carrier(X0),X1)
| ~ is_a_cover_of_carrier(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ( is_a_cover_of_carrier(X0,X1)
<=> cast_as_carrier_subset(X0) = union_of_subsets(the_carrier(X0),X1) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ( is_a_cover_of_carrier(X0,X1)
<=> cast_as_carrier_subset(X0) = union_of_subsets(the_carrier(X0),X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.52Vo2rxuSn/Vampire---4.8_23914',d8_pre_topc) ).
fof(f86,plain,
is_a_cover_of_carrier(sK0,sK1),
inference(cnf_transformation,[],[f52]) ).
fof(f176,plain,
~ empty(cast_as_carrier_subset(sK0)),
inference(unit_resulting_resolution,[],[f88,f89,f114]) ).
fof(f114,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.52Vo2rxuSn/Vampire---4.8_23914',fc2_pre_topc) ).
fof(f88,plain,
~ empty_carrier(sK0),
inference(cnf_transformation,[],[f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU325+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.14 % 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
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 16:31:00 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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/tmp/tmp.52Vo2rxuSn/Vampire---4.8_23914
% 0.57/0.75 % (24299)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.75 % (24292)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 Vampire---4 for (2996ds/34Mi)
% 0.57/0.75 % (24294)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (24293)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 Vampire---4 for (2996ds/51Mi)
% 0.57/0.75 % (24296)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 Vampire---4 for (2996ds/34Mi)
% 0.57/0.75 % (24297)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75 % (24295)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.75 % (24298)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 Vampire---4 for (2996ds/83Mi)
% 0.57/0.75 % (24299)Refutation not found, incomplete strategy% (24299)------------------------------
% 0.57/0.75 % (24299)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (24299)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (24299)Memory used [KB]: 1057
% 0.57/0.75 % (24299)Time elapsed: 0.003 s
% 0.57/0.75 % (24299)Instructions burned: 4 (million)
% 0.57/0.75 % (24299)------------------------------
% 0.57/0.75 % (24299)------------------------------
% 0.57/0.75 % (24295)Refutation not found, incomplete strategy% (24295)------------------------------
% 0.57/0.75 % (24295)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (24295)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (24295)Memory used [KB]: 1049
% 0.57/0.75 % (24295)Time elapsed: 0.004 s
% 0.57/0.75 % (24295)Instructions burned: 3 (million)
% 0.57/0.75 % (24295)------------------------------
% 0.57/0.75 % (24295)------------------------------
% 0.57/0.75 % (24297)Refutation not found, incomplete strategy% (24297)------------------------------
% 0.57/0.75 % (24297)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (24297)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (24297)Memory used [KB]: 1054
% 0.57/0.75 % (24297)Time elapsed: 0.004 s
% 0.57/0.75 % (24297)Instructions burned: 5 (million)
% 0.57/0.75 % (24297)------------------------------
% 0.57/0.75 % (24297)------------------------------
% 0.57/0.75 % (24304)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 Vampire---4 for (2996ds/55Mi)
% 0.57/0.75 % (24292)Refutation not found, incomplete strategy% (24292)------------------------------
% 0.57/0.75 % (24292)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (24292)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (24292)Memory used [KB]: 1095
% 0.57/0.75 % (24292)Time elapsed: 0.006 s
% 0.57/0.75 % (24292)Instructions burned: 7 (million)
% 0.57/0.75 % (24292)------------------------------
% 0.57/0.75 % (24292)------------------------------
% 0.57/0.75 % (24298)First to succeed.
% 0.57/0.76 % (24305)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 Vampire---4 for (2996ds/50Mi)
% 0.57/0.76 % (24306)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.57/0.76 % (24298)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Theorem for Vampire---4
% 0.57/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76 % (24298)------------------------------
% 0.57/0.76 % (24298)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (24298)Termination reason: Refutation
% 0.57/0.76
% 0.57/0.76 % (24298)Memory used [KB]: 1141
% 0.57/0.76 % (24298)Time elapsed: 0.008 s
% 0.57/0.76 % (24298)Instructions burned: 11 (million)
% 0.57/0.76 % (24298)------------------------------
% 0.57/0.76 % (24298)------------------------------
% 0.57/0.76 % (24160)Success in time 0.386 s
% 0.57/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------