TSTP Solution File: SWV371+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV371+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n020.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 Aug 31 18:45:20 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 67 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 24 ~; 14 |; 8 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 68 ( 59 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f246,plain,
$false,
inference(subsumption_resolution,[],[f243,f224]) ).
fof(f224,plain,
issmallestelement_pq(i(triple(sK2,sK0,sK1)),removemin_cpq_res(triple(sK2,sK0,sK1))),
inference(unit_resulting_resolution,[],[f159,f204]) ).
fof(f204,plain,
! [X2,X0,X1] :
( issmallestelement_pq(i(triple(X1,X2,X0)),removemin_cpq_res(triple(X1,X2,X0)))
| ~ phi(findmin_cpq_eff(triple(X1,X2,X0))) ),
inference(definition_unfolding,[],[f196,f161]) ).
fof(f161,plain,
! [X0] : findmin_cpq_res(X0) = removemin_cpq_res(X0),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] : findmin_cpq_res(X0) = removemin_cpq_res(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
fof(f196,plain,
! [X2,X0,X1] :
( issmallestelement_pq(i(triple(X1,X2,X0)),findmin_cpq_res(triple(X1,X2,X0)))
| ~ phi(findmin_cpq_eff(triple(X1,X2,X0))) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X2] :
( issmallestelement_pq(i(triple(X1,X2,X0)),findmin_cpq_res(triple(X1,X2,X0)))
| ~ phi(findmin_cpq_eff(triple(X1,X2,X0))) ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
! [X1,X0,X2] :
( issmallestelement_pq(i(triple(X0,X2,X1)),findmin_cpq_res(triple(X0,X2,X1)))
| ~ phi(findmin_cpq_eff(triple(X0,X2,X1))) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
! [X1,X0,X2] :
( phi(findmin_cpq_eff(triple(X0,X2,X1)))
=> issmallestelement_pq(i(triple(X0,X2,X1)),findmin_cpq_res(triple(X0,X2,X1))) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X0,X2,X1] :
( phi(findmin_cpq_eff(triple(X0,X1,X2)))
=> issmallestelement_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l7_lX) ).
fof(f159,plain,
phi(findmin_cpq_eff(triple(sK2,sK0,sK1))),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ~ pi_sharp_find_min(i(triple(sK2,sK0,sK1)),findmin_cpq_res(triple(sK2,sK0,sK1)))
& phi(findmin_cpq_eff(triple(sK2,sK0,sK1))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f129,f130]) ).
fof(f130,plain,
( ? [X0,X1,X2] :
( ~ pi_sharp_find_min(i(triple(X2,X0,X1)),findmin_cpq_res(triple(X2,X0,X1)))
& phi(findmin_cpq_eff(triple(X2,X0,X1))) )
=> ( ~ pi_sharp_find_min(i(triple(sK2,sK0,sK1)),findmin_cpq_res(triple(sK2,sK0,sK1)))
& phi(findmin_cpq_eff(triple(sK2,sK0,sK1))) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
? [X0,X1,X2] :
( ~ pi_sharp_find_min(i(triple(X2,X0,X1)),findmin_cpq_res(triple(X2,X0,X1)))
& phi(findmin_cpq_eff(triple(X2,X0,X1))) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
? [X2,X1,X0] :
( ~ pi_sharp_find_min(i(triple(X0,X2,X1)),findmin_cpq_res(triple(X0,X2,X1)))
& phi(findmin_cpq_eff(triple(X0,X2,X1))) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,plain,
~ ! [X0,X2,X1] :
( phi(findmin_cpq_eff(triple(X0,X2,X1)))
=> pi_sharp_find_min(i(triple(X0,X2,X1)),findmin_cpq_res(triple(X0,X2,X1))) ),
inference(rectify,[],[f66]) ).
fof(f66,negated_conjecture,
~ ! [X0,X2,X1] :
( phi(findmin_cpq_eff(triple(X0,X1,X2)))
=> pi_sharp_find_min(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))) ),
inference(negated_conjecture,[],[f65]) ).
fof(f65,conjecture,
! [X0,X2,X1] :
( phi(findmin_cpq_eff(triple(X0,X1,X2)))
=> pi_sharp_find_min(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l7_co) ).
fof(f243,plain,
~ issmallestelement_pq(i(triple(sK2,sK0,sK1)),removemin_cpq_res(triple(sK2,sK0,sK1))),
inference(unit_resulting_resolution,[],[f200,f212,f190]) ).
fof(f190,plain,
! [X0,X1] :
( pi_sharp_find_min(X1,X0)
| ~ contains_pq(X1,X0)
| ~ issmallestelement_pq(X1,X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ contains_pq(X1,X0)
| ~ issmallestelement_pq(X1,X0)
| pi_sharp_find_min(X1,X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( pi_sharp_find_min(X1,X0)
| ~ issmallestelement_pq(X1,X0)
| ~ contains_pq(X1,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ( issmallestelement_pq(X1,X0)
& contains_pq(X1,X0) )
=> pi_sharp_find_min(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( issmallestelement_pq(X1,X0)
& contains_pq(X1,X0) )
<=> pi_sharp_find_min(X1,X0) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X1,X0] :
( pi_sharp_find_min(X0,X1)
<=> ( contains_pq(X0,X1)
& issmallestelement_pq(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
fof(f212,plain,
contains_pq(i(triple(sK2,sK0,sK1)),removemin_cpq_res(triple(sK2,sK0,sK1))),
inference(unit_resulting_resolution,[],[f159,f201]) ).
fof(f201,plain,
! [X2,X0,X1] :
( contains_pq(i(triple(X1,X0,X2)),removemin_cpq_res(triple(X1,X0,X2)))
| ~ phi(findmin_cpq_eff(triple(X1,X0,X2))) ),
inference(definition_unfolding,[],[f184,f161]) ).
fof(f184,plain,
! [X2,X0,X1] :
( contains_pq(i(triple(X1,X0,X2)),findmin_cpq_res(triple(X1,X0,X2)))
| ~ phi(findmin_cpq_eff(triple(X1,X0,X2))) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2] :
( contains_pq(i(triple(X1,X0,X2)),findmin_cpq_res(triple(X1,X0,X2)))
| ~ phi(findmin_cpq_eff(triple(X1,X0,X2))) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
! [X2,X0,X1] :
( contains_pq(i(triple(X0,X2,X1)),findmin_cpq_res(triple(X0,X2,X1)))
| ~ phi(findmin_cpq_eff(triple(X0,X2,X1))) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X2,X1] :
( phi(findmin_cpq_eff(triple(X0,X2,X1)))
=> contains_pq(i(triple(X0,X2,X1)),findmin_cpq_res(triple(X0,X2,X1))) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X0,X2,X1] :
( phi(findmin_cpq_eff(triple(X0,X1,X2)))
=> contains_pq(i(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l7_l8) ).
fof(f200,plain,
~ pi_sharp_find_min(i(triple(sK2,sK0,sK1)),removemin_cpq_res(triple(sK2,sK0,sK1))),
inference(definition_unfolding,[],[f160,f161]) ).
fof(f160,plain,
~ pi_sharp_find_min(i(triple(sK2,sK0,sK1)),findmin_cpq_res(triple(sK2,sK0,sK1))),
inference(cnf_transformation,[],[f131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV371+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 19:24:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (21047)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.50 % (21039)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (21054)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.51 % (21046)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (21037)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.51 % (21039)Instruction limit reached!
% 0.19/0.51 % (21039)------------------------------
% 0.19/0.51 % (21039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (21039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (21039)Termination reason: Unknown
% 0.19/0.51 % (21039)Termination phase: Property scanning
% 0.19/0.51
% 0.19/0.51 % (21039)Memory used [KB]: 1535
% 0.19/0.51 % (21039)Time elapsed: 0.005 s
% 0.19/0.51 % (21039)Instructions burned: 3 (million)
% 0.19/0.51 % (21039)------------------------------
% 0.19/0.51 % (21039)------------------------------
% 0.19/0.51 % (21046)First to succeed.
% 0.19/0.51 % (21031)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (21038)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (21045)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.52 % (21029)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (21046)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (21046)------------------------------
% 0.19/0.52 % (21046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (21046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (21046)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (21046)Memory used [KB]: 6140
% 0.19/0.52 % (21046)Time elapsed: 0.113 s
% 0.19/0.52 % (21046)Instructions burned: 7 (million)
% 0.19/0.52 % (21046)------------------------------
% 0.19/0.52 % (21046)------------------------------
% 0.19/0.52 % (21024)Success in time 0.178 s
%------------------------------------------------------------------------------