TSTP Solution File: SYN321+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN321+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 12:09:37 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 4 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 87 ( 29 ~; 24 |; 16 &)
% ( 3 <=>; 13 =>; 0 <=; 2 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 75 ( 62 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,plain,
$false,
inference(subsumption_resolution,[],[f18,f16]) ).
fof(f16,plain,
! [X0,X1] : big_f(X0,X1),
inference(resolution,[],[f15,f12]) ).
fof(f12,plain,
! [X1,X4] :
( ~ big_g(X4,X4)
| big_f(X4,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( ( ~ big_g(X0,sK0(X0))
| ~ big_f(X0,X1) )
& ( ! [X3] : big_g(X0,X3)
| big_f(X0,X1) )
& ! [X4] :
( big_f(X4,X1)
| ~ big_g(X4,X4) )
& ( ! [X5] : big_g(X0,X5)
| ! [X6] : ~ big_f(X0,X6) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9]) ).
fof(f9,plain,
! [X0] :
( ? [X2] : ~ big_g(X0,X2)
=> ~ big_g(X0,sK0(X0)) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X0,X1] :
( ( ? [X2] : ~ big_g(X0,X2)
| ~ big_f(X0,X1) )
& ( ! [X3] : big_g(X0,X3)
| big_f(X0,X1) )
& ! [X4] :
( big_f(X4,X1)
| ~ big_g(X4,X4) )
& ( ! [X5] : big_g(X0,X5)
| ! [X6] : ~ big_f(X0,X6) ) ),
inference(rectify,[],[f7]) ).
fof(f7,plain,
! [X0,X1] :
( ( ? [X5] : ~ big_g(X0,X5)
| ~ big_f(X0,X1) )
& ( ! [X5] : big_g(X0,X5)
| big_f(X0,X1) )
& ! [X4] :
( big_f(X4,X1)
| ~ big_g(X4,X4) )
& ( ! [X3] : big_g(X0,X3)
| ! [X2] : ~ big_f(X0,X2) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
! [X0,X1] :
( ( ? [X5] : ~ big_g(X0,X5)
| ~ big_f(X0,X1) )
& ( ! [X5] : big_g(X0,X5)
| big_f(X0,X1) )
& ! [X4] :
( big_f(X4,X1)
| ~ big_g(X4,X4) )
& ( ! [X3] : big_g(X0,X3)
| ! [X2] : ~ big_f(X0,X2) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,plain,
! [X0,X1] :
( ( big_f(X0,X1)
<~> ! [X5] : big_g(X0,X5) )
& ! [X4] :
( big_f(X4,X1)
| ~ big_g(X4,X4) )
& ( ! [X3] : big_g(X0,X3)
| ! [X2] : ~ big_f(X0,X2) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
! [X0,X1] :
( ( big_f(X0,X1)
<~> ! [X5] : big_g(X0,X5) )
& ! [X4] :
( big_f(X4,X1)
| ~ big_g(X4,X4) )
& ( ! [X3] : big_g(X0,X3)
| ! [X2] : ~ big_f(X0,X2) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ? [X0,X1] :
( ( ? [X2] : big_f(X0,X2)
=> ! [X3] : big_g(X0,X3) )
=> ( ! [X4] :
( big_g(X4,X4)
=> big_f(X4,X1) )
=> ( big_f(X0,X1)
<=> ! [X5] : big_g(X0,X5) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ? [X0,X1] :
( ( ? [X2] : big_f(X0,X2)
=> ! [X2] : big_g(X0,X2) )
=> ( ! [X2] :
( big_g(X2,X2)
=> big_f(X2,X1) )
=> ( big_f(X0,X1)
<=> ! [X2] : big_g(X0,X2) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
? [X0,X1] :
( ( ? [X2] : big_f(X0,X2)
=> ! [X2] : big_g(X0,X2) )
=> ( ! [X2] :
( big_g(X2,X2)
=> big_f(X2,X1) )
=> ( big_f(X0,X1)
<=> ! [X2] : big_g(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_3_2) ).
fof(f15,plain,
! [X3,X0] : big_g(X0,X3),
inference(subsumption_resolution,[],[f13,f11]) ).
fof(f11,plain,
! [X0,X6,X5] :
( ~ big_f(X0,X6)
| big_g(X0,X5) ),
inference(cnf_transformation,[],[f10]) ).
fof(f13,plain,
! [X3,X0,X1] :
( big_g(X0,X3)
| big_f(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f18,plain,
! [X0,X1] : ~ big_f(X0,X1),
inference(subsumption_resolution,[],[f14,f15]) ).
fof(f14,plain,
! [X0,X1] :
( ~ big_g(X0,sK0(X0))
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN321+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 17:35:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (28096)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (28097)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (28098)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (28099)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)
% 0.14/0.37 % (28100)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (28101)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (28102)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (28103)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1,1]
% 0.14/0.37 TRYING [1,1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2,1]
% 0.14/0.37 TRYING [2,1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (28102)Also succeeded, but the first one will report.
% 0.14/0.37 % (28101)First to succeed.
% 0.14/0.37 % (28097)Also succeeded, but the first one will report.
% 0.14/0.37 % (28103)Also succeeded, but the first one will report.
% 0.14/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37 % (28098)Refutation not found, incomplete strategy% (28098)------------------------------
% 0.14/0.37 % (28098)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (28100)Refutation not found, incomplete strategy% (28100)------------------------------
% 0.14/0.37 % (28100)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (28098)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37 % (28100)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37
% 0.14/0.37 % (28098)Memory used [KB]: 724
% 0.14/0.37 % (28100)Memory used [KB]: 724
% 0.14/0.37 % (28100)Time elapsed: 0.003 s
% 0.14/0.37 % (28098)Time elapsed: 0.003 s
% 0.14/0.37 % (28100)Instructions burned: 2 (million)
% 0.14/0.37 % (28098)Instructions burned: 2 (million)
% 0.14/0.37 % (28099)Also succeeded, but the first one will report.
% 0.14/0.37 % (28100)------------------------------
% 0.14/0.37 % (28100)------------------------------
% 0.14/0.37 % (28098)------------------------------
% 0.14/0.37 % (28098)------------------------------
% 0.14/0.37 % (28101)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28096"
% 0.14/0.37 % (28101)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (28101)------------------------------
% 0.14/0.37 % (28101)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (28101)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (28101)Memory used [KB]: 743
% 0.14/0.37 % (28101)Time elapsed: 0.003 s
% 0.14/0.37 % (28101)Instructions burned: 3 (million)
% 0.14/0.37 % (28096)Success in time 0.018 s
%------------------------------------------------------------------------------