TSTP Solution File: COM016+4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COM016+4 : TPTP v8.1.0. Released v4.0.0.
% 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 : 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 : Wed Aug 31 15:53:11 EDT 2022
% Result : Theorem 0.22s 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 95 ( 4 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 94 ( 22 ~; 27 |; 43 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 14 ( 4 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f268,plain,
$false,
inference(subsumption_resolution,[],[f267,f251]) ).
fof(f251,plain,
aElement0(sK13),
inference(subsumption_resolution,[],[f155,f250]) ).
fof(f250,plain,
~ aReductOfIn0(xb,xa,xR),
inference(subsumption_resolution,[],[f232,f144]) ).
fof(f144,plain,
aElement0(xb),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
fof(f232,plain,
( ~ aReductOfIn0(xb,xa,xR)
| ~ aElement0(xb) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,plain,
! [X0] :
( xb != X0
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ( ! [X1] :
( ~ aReductOfIn0(X1,X0,xR)
| ~ sdtmndtplgtdt0(X1,xR,xb)
| ~ aElement0(X1) )
& ~ sdtmndtplgtdt0(X0,xR,xb)
& ~ sdtmndtasgtdt0(X0,xR,xb)
& xb != X0
& ~ aReductOfIn0(xb,X0,xR) )
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ? [X0] :
( aReductOfIn0(X0,xa,xR)
& aElement0(X0)
& ( sdtmndtplgtdt0(X0,xR,xb)
| aReductOfIn0(xb,X0,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,X0,xR)
& sdtmndtplgtdt0(X1,xR,xb) )
| sdtmndtasgtdt0(X0,xR,xb)
| xb = X0 ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
? [X0] :
( aReductOfIn0(X0,xa,xR)
& aElement0(X0)
& ( sdtmndtplgtdt0(X0,xR,xb)
| aReductOfIn0(xb,X0,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,X0,xR)
& sdtmndtplgtdt0(X1,xR,xb) )
| sdtmndtasgtdt0(X0,xR,xb)
| xb = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f155,plain,
( aElement0(sK13)
| aReductOfIn0(xb,xa,xR) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( sdtmndtplgtdt0(xa,xR,xb)
& ( aReductOfIn0(xb,xa,xR)
| ( aReductOfIn0(sK13,xa,xR)
& sdtmndtplgtdt0(sK13,xR,xb)
& aElement0(sK13) ) )
& sdtmndtplgtdt0(xa,xR,xc)
& ( ( sdtmndtplgtdt0(sK14,xR,xc)
& aElement0(sK14)
& aReductOfIn0(sK14,xa,xR) )
| aReductOfIn0(xc,xa,xR) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f23,f86,f85]) ).
fof(f85,plain,
( ? [X0] :
( aReductOfIn0(X0,xa,xR)
& sdtmndtplgtdt0(X0,xR,xb)
& aElement0(X0) )
=> ( aReductOfIn0(sK13,xa,xR)
& sdtmndtplgtdt0(sK13,xR,xb)
& aElement0(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xc)
& aElement0(X1)
& aReductOfIn0(X1,xa,xR) )
=> ( sdtmndtplgtdt0(sK14,xR,xc)
& aElement0(sK14)
& aReductOfIn0(sK14,xa,xR) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( sdtmndtplgtdt0(xa,xR,xb)
& ( aReductOfIn0(xb,xa,xR)
| ? [X0] :
( aReductOfIn0(X0,xa,xR)
& sdtmndtplgtdt0(X0,xR,xb)
& aElement0(X0) ) )
& sdtmndtplgtdt0(xa,xR,xc)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xc)
& aElement0(X1)
& aReductOfIn0(X1,xa,xR) )
| aReductOfIn0(xc,xa,xR) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
( sdtmndtplgtdt0(xa,xR,xc)
& ( aReductOfIn0(xb,xa,xR)
| ? [X0] :
( aReductOfIn0(X0,xa,xR)
& sdtmndtplgtdt0(X0,xR,xb)
& aElement0(X0) ) )
& ( aReductOfIn0(xc,xa,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xa,xR)
& sdtmndtplgtdt0(X0,xR,xc) ) )
& sdtmndtplgtdt0(xa,xR,xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731_02) ).
fof(f267,plain,
~ aElement0(sK13),
inference(subsumption_resolution,[],[f266,f253]) ).
fof(f253,plain,
aReductOfIn0(sK13,xa,xR),
inference(subsumption_resolution,[],[f157,f250]) ).
fof(f157,plain,
( aReductOfIn0(xb,xa,xR)
| aReductOfIn0(sK13,xa,xR) ),
inference(cnf_transformation,[],[f87]) ).
fof(f266,plain,
( ~ aReductOfIn0(sK13,xa,xR)
| ~ aElement0(sK13) ),
inference(resolution,[],[f184,f252]) ).
fof(f252,plain,
sdtmndtplgtdt0(sK13,xR,xb),
inference(subsumption_resolution,[],[f156,f250]) ).
fof(f156,plain,
( sdtmndtplgtdt0(sK13,xR,xb)
| aReductOfIn0(xb,xa,xR) ),
inference(cnf_transformation,[],[f87]) ).
fof(f184,plain,
! [X0] :
( ~ sdtmndtplgtdt0(X0,xR,xb)
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : COM016+4 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 29 17:20:20 EDT 2022
% 0.22/0.35 % CPUTime :
% 0.22/0.52 % (9063)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.22/0.52 % (9069)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)
% 0.22/0.53 % (9057)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.22/0.53 % (9060)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)
% 0.22/0.53 % (9059)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.53 % (9061)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.54 % (9064)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.22/0.54 % (9078)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)
% 0.22/0.54 % (9061)First to succeed.
% 0.22/0.54 % (9084)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.22/0.54 % (9061)Refutation found. Thanks to Tanya!
% 0.22/0.54 % SZS status Theorem for theBenchmark
% 0.22/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.54 % (9061)------------------------------
% 0.22/0.54 % (9061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (9061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (9061)Termination reason: Refutation
% 0.22/0.54
% 0.22/0.54 % (9061)Memory used [KB]: 1663
% 0.22/0.54 % (9061)Time elapsed: 0.125 s
% 0.22/0.54 % (9061)Instructions burned: 7 (million)
% 0.22/0.54 % (9061)------------------------------
% 0.22/0.54 % (9061)------------------------------
% 0.22/0.54 % (9055)Success in time 0.18 s
%------------------------------------------------------------------------------