TSTP Solution File: SYN056+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN056+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n029.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 : Sun May 5 11:55:48 EDT 2024
% Result : Theorem 0.59s 0.77s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 59 ( 1 unt; 0 def)
% Number of atoms : 183 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 215 ( 91 ~; 84 |; 18 &)
% ( 12 <=>; 9 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 7 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 58 ( 44 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f71,plain,
$false,
inference(avatar_sat_refutation,[],[f36,f41,f46,f47,f55,f59,f65,f68,f70]) ).
fof(f70,plain,
( ~ spl4_3
| ~ spl4_6 ),
inference(avatar_contradiction_clause,[],[f69]) ).
fof(f69,plain,
( $false
| ~ spl4_3
| ~ spl4_6 ),
inference(subsumption_resolution,[],[f40,f66]) ).
fof(f66,plain,
( ! [X0] : ~ big_p(X0)
| ~ spl4_6 ),
inference(resolution,[],[f54,f24]) ).
fof(f24,plain,
! [X3] :
( big_q(sK3)
| ~ big_p(X3) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( big_p(sK2)
| ! [X1] : ~ big_q(X1) )
& ( big_q(sK3)
| ! [X3] : ~ big_p(X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f14,f16,f15]) ).
fof(f15,plain,
( ? [X0] : big_p(X0)
=> big_p(sK2) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X2] : big_q(X2)
=> big_q(sK3) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ( ? [X0] : big_p(X0)
| ! [X1] : ~ big_q(X1) )
& ( ? [X2] : big_q(X2)
| ! [X3] : ~ big_p(X3) ) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
( ( ? [X0] : big_p(X0)
| ! [X1] : ~ big_q(X1) )
& ( ? [X1] : big_q(X1)
| ! [X0] : ~ big_p(X0) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ? [X0] : big_p(X0)
<=> ? [X1] : big_q(X1) ),
file('/export/starexec/sandbox/tmp/tmp.GVgN2YKp34/Vampire---4.8_30977',pel26_1) ).
fof(f54,plain,
( ! [X2] : ~ big_q(X2)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl4_6
<=> ! [X2] : ~ big_q(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f40,plain,
( big_p(sK1)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl4_3
<=> big_p(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f68,plain,
( ~ spl4_4
| ~ spl4_6 ),
inference(avatar_contradiction_clause,[],[f67]) ).
fof(f67,plain,
( $false
| ~ spl4_4
| ~ spl4_6 ),
inference(resolution,[],[f54,f45]) ).
fof(f45,plain,
( big_q(sK0)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl4_4
<=> big_q(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f65,plain,
( spl4_2
| ~ spl4_4
| ~ spl4_5 ),
inference(avatar_contradiction_clause,[],[f64]) ).
fof(f64,plain,
( $false
| spl4_2
| ~ spl4_4
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f63,f62]) ).
fof(f62,plain,
( ! [X0] : ~ big_p(X0)
| spl4_2
| ~ spl4_4
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f61,f51]) ).
fof(f51,plain,
( ! [X3] :
( big_r(X3)
| ~ big_p(X3) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl4_5
<=> ! [X3] :
( big_r(X3)
| ~ big_p(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f61,plain,
( ! [X0] :
( ~ big_r(X0)
| ~ big_p(X0) )
| spl4_2
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f60,f45]) ).
fof(f60,plain,
( ! [X0] :
( ~ big_r(X0)
| ~ big_q(sK0)
| ~ big_p(X0) )
| spl4_2 ),
inference(resolution,[],[f35,f26]) ).
fof(f26,plain,
! [X0,X1] :
( big_s(X1)
| ~ big_r(X0)
| ~ big_q(X1)
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( ( big_r(X0)
| ~ big_s(X1) )
& ( big_s(X1)
| ~ big_r(X0) ) )
| ~ big_q(X1)
| ~ big_p(X0) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0,X1] :
( ( big_r(X0)
<=> big_s(X1) )
| ~ big_q(X1)
| ~ big_p(X0) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
! [X0,X1] :
( ( big_r(X0)
<=> big_s(X1) )
| ~ big_q(X1)
| ~ big_p(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ( big_q(X1)
& big_p(X0) )
=> ( big_r(X0)
<=> big_s(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.GVgN2YKp34/Vampire---4.8_30977',pel26_2) ).
fof(f35,plain,
( ~ big_s(sK0)
| spl4_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl4_2
<=> big_s(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f63,plain,
( big_p(sK2)
| ~ spl4_4 ),
inference(resolution,[],[f45,f25]) ).
fof(f25,plain,
! [X1] :
( ~ big_q(X1)
| big_p(sK2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f59,plain,
( ~ spl4_3
| spl4_1
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f56,f50,f29,f38]) ).
fof(f29,plain,
( spl4_1
<=> big_r(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f56,plain,
( ~ big_p(sK1)
| spl4_1
| ~ spl4_5 ),
inference(resolution,[],[f51,f31]) ).
fof(f31,plain,
( ~ big_r(sK1)
| spl4_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f55,plain,
( spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f48,f53,f50]) ).
fof(f48,plain,
! [X2,X3] :
( ~ big_q(X2)
| big_r(X3)
| ~ big_p(X3) ),
inference(subsumption_resolution,[],[f19,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ~ big_s(X1)
| big_r(X0)
| ~ big_q(X1)
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f19,plain,
! [X2,X3] :
( big_s(X2)
| ~ big_q(X2)
| big_r(X3)
| ~ big_p(X3) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
( ( ( ~ big_s(sK0)
& big_q(sK0) )
| ( ~ big_r(sK1)
& big_p(sK1) ) )
& ( ! [X2] :
( big_s(X2)
| ~ big_q(X2) )
| ! [X3] :
( big_r(X3)
| ~ big_p(X3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f11,f10]) ).
fof(f10,plain,
( ? [X0] :
( ~ big_s(X0)
& big_q(X0) )
=> ( ~ big_s(sK0)
& big_q(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
( ? [X1] :
( ~ big_r(X1)
& big_p(X1) )
=> ( ~ big_r(sK1)
& big_p(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
( ( ? [X0] :
( ~ big_s(X0)
& big_q(X0) )
| ? [X1] :
( ~ big_r(X1)
& big_p(X1) ) )
& ( ! [X2] :
( big_s(X2)
| ~ big_q(X2) )
| ! [X3] :
( big_r(X3)
| ~ big_p(X3) ) ) ),
inference(rectify,[],[f8]) ).
fof(f8,plain,
( ( ? [X1] :
( ~ big_s(X1)
& big_q(X1) )
| ? [X0] :
( ~ big_r(X0)
& big_p(X0) ) )
& ( ! [X1] :
( big_s(X1)
| ~ big_q(X1) )
| ! [X0] :
( big_r(X0)
| ~ big_p(X0) ) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,plain,
( ! [X0] :
( big_r(X0)
| ~ big_p(X0) )
<~> ! [X1] :
( big_s(X1)
| ~ big_q(X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,negated_conjecture,
~ ( ! [X0] :
( big_p(X0)
=> big_r(X0) )
<=> ! [X1] :
( big_q(X1)
=> big_s(X1) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
( ! [X0] :
( big_p(X0)
=> big_r(X0) )
<=> ! [X1] :
( big_q(X1)
=> big_s(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.GVgN2YKp34/Vampire---4.8_30977',pel26) ).
fof(f47,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f20,f43,f38]) ).
fof(f20,plain,
( big_q(sK0)
| big_p(sK1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f46,plain,
( ~ spl4_1
| spl4_4 ),
inference(avatar_split_clause,[],[f21,f43,f29]) ).
fof(f21,plain,
( big_q(sK0)
| ~ big_r(sK1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f41,plain,
( spl4_3
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f22,f33,f38]) ).
fof(f22,plain,
( ~ big_s(sK0)
| big_p(sK1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f36,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f23,f33,f29]) ).
fof(f23,plain,
( ~ big_s(sK0)
| ~ big_r(sK1) ),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN056+1 : TPTP v8.1.2. Released v2.0.0.
% 0.14/0.15 % 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 : n029.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
% 0.21/0.36 % DateTime : Fri May 3 17:24:08 EDT 2024
% 0.21/0.36 % CPUTime :
% 0.21/0.36 This is a FOF_THM_EPR_NEQ problem
% 0.21/0.37 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.GVgN2YKp34/Vampire---4.8_30977
% 0.59/0.77 % (31298)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)
% 0.59/0.77 % (31298)First to succeed.
% 0.59/0.77 % (31291)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)
% 0.59/0.77 % (31293)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.77 % (31294)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)
% 0.59/0.77 % (31292)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)
% 0.59/0.77 % (31296)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)
% 0.59/0.77 % (31295)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)
% 0.59/0.77 % (31297)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)
% 0.59/0.77 % (31298)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31224"
% 0.59/0.77 % (31298)Refutation found. Thanks to Tanya!
% 0.59/0.77 % SZS status Theorem for Vampire---4
% 0.59/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.77 % (31298)------------------------------
% 0.59/0.77 % (31298)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (31298)Termination reason: Refutation
% 0.59/0.77
% 0.59/0.77 % (31298)Memory used [KB]: 989
% 0.59/0.77 % (31298)Time elapsed: 0.002 s
% 0.59/0.77 % (31298)Instructions burned: 3 (million)
% 0.59/0.77 % (31224)Success in time 0.402 s
% 0.59/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------