TSTP Solution File: NUM618+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM618+1 : TPTP v8.2.0. Released v4.0.0.
% 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 : n018.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 : Tue May 21 01:43:47 EDT 2024
% Result : Theorem 0.52s 0.72s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 4 unt; 1 typ; 0 def)
% Number of atoms : 149 ( 11 equ)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 48 ( 20 ~; 12 |; 13 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 99 ( 99 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 24 ( 18 !; 5 ?; 14 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_14,type,
sQ27_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f744,plain,
$false,
inference(subsumption_resolution,[],[f743,f400]) ).
tff(f400,plain,
aElementOf0(xx,xO),
inference(cnf_transformation,[],[f114]) ).
tff(f114,axiom,
( aElementOf0(xx,xO)
& aElementOf0(xx,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5365) ).
tff(f743,plain,
~ aElementOf0(xx,xO),
inference(resolution,[],[f738,f376]) ).
tff(f376,plain,
! [X0: $i] :
( aElementOf0(sK9(X0),szNzAzT0)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f258]) ).
tff(f258,plain,
! [X0] :
( ( ( sdtlpdtrp0(xe,sK9(X0)) = X0 )
& aElementOf0(sK9(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(sK9(X0),szNzAzT0) )
| ~ aElementOf0(X0,xO) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f146,f257]) ).
tff(f257,plain,
! [X0] :
( ? [X1] :
( ( sdtlpdtrp0(xe,X1) = X0 )
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlpdtrp0(xe,sK9(X0)) = X0 )
& aElementOf0(sK9(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(sK9(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
tff(f146,plain,
! [X0] :
( ? [X1] :
( ( sdtlpdtrp0(xe,X1) = X0 )
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(X1,szNzAzT0) )
| ~ aElementOf0(X0,xO) ),
inference(ennf_transformation,[],[f97]) ).
tff(f97,axiom,
! [X0] :
( aElementOf0(X0,xO)
=> ? [X1] :
( ( sdtlpdtrp0(xe,X1) = X0 )
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4982) ).
tff(f738,plain,
~ aElementOf0(sK9(xx),szNzAzT0),
inference(subsumption_resolution,[],[f737,f400]) ).
tff(f737,plain,
( ~ aElementOf0(xx,xO)
| ~ aElementOf0(sK9(xx),szNzAzT0) ),
inference(resolution,[],[f736,f716]) ).
tff(f716,plain,
! [X0: $i] :
( ~ sQ27_eqProxy($i,xx,sdtlpdtrp0(xe,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f647,f594]) ).
tff(f594,plain,
! [X0: $i] :
( ~ sQ27_eqProxy($i,sdtlpdtrp0(xe,X0),xx)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_proxy_replacement,[],[f401,f565]) ).
tff(f565,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ27_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ27_eqProxy])]) ).
tff(f401,plain,
! [X0: $i] :
( ( sdtlpdtrp0(xe,X0) != xx )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f147]) ).
tff(f147,plain,
! [X0] :
( ( sdtlpdtrp0(xe,X0) != xx )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f116]) ).
tff(f116,negated_conjecture,
~ ? [X0] :
( ( sdtlpdtrp0(xe,X0) = xx )
& aElementOf0(X0,szNzAzT0) ),
inference(negated_conjecture,[],[f115]) ).
tff(f115,conjecture,
? [X0] :
( ( sdtlpdtrp0(xe,X0) = xx )
& aElementOf0(X0,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f647,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ27_eqProxy(X0,X2,X1)
| ~ sQ27_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f565]) ).
tff(f736,plain,
! [X0: $i] :
( sQ27_eqProxy($i,X0,sdtlpdtrp0(xe,sK9(X0)))
| ~ aElementOf0(X0,xO) ),
inference(forward_literal_rewriting,[],[f587,f647]) ).
tff(f587,plain,
! [X0: $i] :
( sQ27_eqProxy($i,sdtlpdtrp0(xe,sK9(X0)),X0)
| ~ aElementOf0(X0,xO) ),
inference(equality_proxy_replacement,[],[f378,f565]) ).
tff(f378,plain,
! [X0: $i] :
( ( sdtlpdtrp0(xe,sK9(X0)) = X0 )
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM618+1 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.15 % 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
% 0.15/0.37 % Computer : n018.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 : Mon May 20 05:36:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 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/benchmark/theBenchmark.p
% 0.52/0.71 % (27022)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)
% 0.52/0.71 % (27017)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)
% 0.52/0.71 % (27019)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.52/0.71 % (27018)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)
% 0.52/0.71 % (27024)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)
% 0.52/0.72 % (27017)First to succeed.
% 0.52/0.72 % (27017)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27015"
% 0.52/0.72 % (27017)Refutation found. Thanks to Tanya!
% 0.52/0.72 % SZS status Theorem for theBenchmark
% 0.52/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 0.52/0.72 % (27017)------------------------------
% 0.52/0.72 % (27017)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.72 % (27017)Termination reason: Refutation
% 0.52/0.72
% 0.52/0.72 % (27017)Memory used [KB]: 1366
% 0.52/0.72 % (27017)Time elapsed: 0.011 s
% 0.52/0.72 % (27017)Instructions burned: 18 (million)
% 0.52/0.72 % (27015)Success in time 0.345 s
% 0.52/0.72 % Vampire---4.8 exiting
%------------------------------------------------------------------------------