TSTP Solution File: SYN050+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN050+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 12:08:37 EDT 2024
% Result : Theorem 0.13s 0.43s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 69 ( 24 ~; 15 |; 20 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 57 ( 41 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,plain,
$false,
inference(subsumption_resolution,[],[f14,f10]) ).
fof(f10,plain,
! [X0] : big_p(X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
( ! [X0,X1] :
( ! [X2] : ~ big_r(X2)
& big_q(X1)
& big_p(X0) )
& ! [X3,X4] :
( big_r(sK0(X3,X4))
| ~ big_q(X4)
| ~ big_p(X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).
fof(f7,plain,
! [X3,X4] :
( ? [X5] :
( big_r(X5)
| ~ big_q(X4)
| ~ big_p(X3) )
=> ( big_r(sK0(X3,X4))
| ~ big_q(X4)
| ~ big_p(X3) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ! [X0,X1] :
( ! [X2] : ~ big_r(X2)
& big_q(X1)
& big_p(X0) )
& ! [X3,X4] :
? [X5] :
( big_r(X5)
| ~ big_q(X4)
| ~ big_p(X3) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ! [X4,X5] :
( ! [X6] : ~ big_r(X6)
& big_q(X5)
& big_p(X4) )
& ! [X0,X1] :
? [X2] :
! [X3] :
( big_r(X2)
| ~ big_q(X1)
| ~ big_p(X0) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ! [X4,X5] :
( ! [X6] : ~ big_r(X6)
& big_q(X5)
& big_p(X4) )
& ! [X0,X1] :
? [X2] :
! [X3] :
( big_r(X2)
| ~ big_q(X1)
| ~ big_p(X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ! [X0,X1] :
? [X2] :
! [X3] :
( ( big_q(X1)
& big_p(X0) )
=> big_r(X2) )
=> ? [X4,X5] :
( ( big_q(X5)
& big_p(X4) )
=> ? [X6] : big_r(X6) ) ),
inference(pure_predicate_removal,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0,X1] :
? [X2] :
! [X3] :
( ( big_q(X1)
& big_p(X0) )
=> ( big_s(X3)
& big_r(X2) ) )
=> ? [X4,X5] :
( ( big_q(X5)
& big_p(X4) )
=> ? [X6] : big_r(X6) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0,X1] :
? [X2] :
! [X3] :
( ( big_q(X1)
& big_p(X0) )
=> ( big_s(X3)
& big_r(X2) ) )
=> ? [X4,X5] :
( ( big_q(X5)
& big_p(X4) )
=> ? [X6] : big_r(X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel20) ).
fof(f14,plain,
! [X3] : ~ big_p(X3),
inference(subsumption_resolution,[],[f13,f11]) ).
fof(f11,plain,
! [X1] : big_q(X1),
inference(cnf_transformation,[],[f8]) ).
fof(f13,plain,
! [X3,X4] :
( ~ big_q(X4)
| ~ big_p(X3) ),
inference(subsumption_resolution,[],[f9,f12]) ).
fof(f12,plain,
! [X2] : ~ big_r(X2),
inference(cnf_transformation,[],[f8]) ).
fof(f9,plain,
! [X3,X4] :
( big_r(sK0(X3,X4))
| ~ big_q(X4)
| ~ big_p(X3) ),
inference(cnf_transformation,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.18 % Problem : SYN050+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.20 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.41 % Computer : n025.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8042.1875MB
% 0.13/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Fri May 3 17:34:53 EDT 2024
% 0.13/0.41 % CPUTime :
% 0.13/0.41 % (25672)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.43 % (25677)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.43 % (25676)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.43 TRYING [1,1,1]
% 0.13/0.43 % (25677)First to succeed.
% 0.13/0.43 % (25679)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.43 % (25677)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25672"
% 0.13/0.43 % (25675)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.43 TRYING [2,1,1]
% 0.13/0.43 Cannot enumerate next child to try in an incomplete setup
% 0.13/0.43 % (25674)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.43 TRYING [1]
% 0.13/0.43 % (25676)Refutation not found, incomplete strategy% (25676)------------------------------
% 0.13/0.43 % (25676)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.43 % (25676)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.43
% 0.13/0.43 % (25676)Memory used [KB]: 723
% 0.13/0.43 % (25676)Time elapsed: 0.003 s
% 0.13/0.43 % (25676)Instructions burned: 2 (million)
% 0.13/0.43 % (25676)------------------------------
% 0.13/0.43 % (25676)------------------------------
% 0.13/0.43 TRYING [1,1,1]
% 0.13/0.43 TRYING [2]
% 0.13/0.43 % (25679)Also succeeded, but the first one will report.
% 0.13/0.43 % (25675)Also succeeded, but the first one will report.
% 0.13/0.43 % (25673)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.43 % (25678)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.43 % (25677)Refutation found. Thanks to Tanya!
% 0.13/0.43 % SZS status Theorem for theBenchmark
% 0.13/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.43 % (25677)------------------------------
% 0.13/0.43 % (25677)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.43 % (25677)Termination reason: Refutation
% 0.13/0.43
% 0.13/0.43 % (25677)Memory used [KB]: 728
% 0.13/0.43 % (25677)Time elapsed: 0.002 s
% 0.13/0.43 % (25677)Instructions burned: 2 (million)
% 0.13/0.43 % (25672)Success in time 0.003 s
%------------------------------------------------------------------------------