TSTP Solution File: SYN370+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN370+1 : TPTP v8.1.0. Released v2.0.0.
% 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 19:26:25 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 2 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 20 ( 6 ~; 7 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 18 ( 12 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,plain,
$false,
inference(unit_resulting_resolution,[],[f6,f6,f7]) ).
fof(f7,plain,
! [X0] :
( big_p(X0,sK0(X0),f(sK0(X0)))
| big_p(a,sK0(X0),h(sK0(X0))) ),
inference(cnf_transformation,[],[f5]) ).
fof(f5,plain,
! [X0,X2] :
( ( big_p(a,sK0(X0),h(sK0(X0)))
| big_p(X0,sK0(X0),f(sK0(X0))) )
& ~ big_p(X0,sK0(X0),X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f3,f4]) ).
fof(f4,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( big_p(a,X1,h(X1))
| big_p(X0,X1,f(X1)) )
& ~ big_p(X0,X1,X2) )
=> ! [X2] :
( ( big_p(a,sK0(X0),h(sK0(X0)))
| big_p(X0,sK0(X0),f(sK0(X0))) )
& ~ big_p(X0,sK0(X0),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f3,plain,
! [X0] :
? [X1] :
! [X2] :
( ( big_p(a,X1,h(X1))
| big_p(X0,X1,f(X1)) )
& ~ big_p(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0] :
! [X1] :
? [X2] :
( ( big_p(a,X1,h(X1))
| big_p(X0,X1,f(X1)) )
=> big_p(X0,X1,X2) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0] :
! [X1] :
? [X2] :
( ( big_p(a,X1,h(X1))
| big_p(X0,X1,f(X1)) )
=> big_p(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2121) ).
fof(f6,plain,
! [X2,X0] : ~ big_p(X0,sK0(X0),X2),
inference(cnf_transformation,[],[f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN370+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 22:02:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (16283)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49 % (16295)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.49 % (16295)First to succeed.
% 0.18/0.49 % (16271)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)
% 0.18/0.50 % (16272)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)
% 0.18/0.50 % (16274)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)
% 0.18/0.50 % (16287)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.50 % (16290)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)
% 0.18/0.50 % (16279)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51 % (16295)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Theorem for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (16295)------------------------------
% 0.18/0.51 % (16295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (16295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (16295)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (16295)Memory used [KB]: 5884
% 0.18/0.51 % (16295)Time elapsed: 0.115 s
% 0.18/0.51 % (16295)------------------------------
% 0.18/0.51 % (16295)------------------------------
% 0.18/0.51 % (16267)Success in time 0.166 s
%------------------------------------------------------------------------------