TSTP Solution File: SYN361+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN361+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 : n006.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 12:09:53 EDT 2024
% Result : Theorem 0.14s 0.31s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 63 ( 24 ~; 10 |; 18 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 59 ( 42 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,plain,
$false,
inference(resolution,[],[f15,f10]) ).
fof(f10,plain,
! [X6] : big_p(X6,sK1),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X0] : big_s(X0)
& ! [X1,X2] :
( ~ big_q(X1,X2)
| ~ big_p(X1,X2) )
& ! [X3] :
( big_q(sK0(X3),X3)
| ~ big_s(X3) )
& ! [X6] : big_p(X6,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
! [X3] :
( ? [X4] : big_q(X4,X3)
=> big_q(sK0(X3),X3) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X5] :
! [X6] : big_p(X6,X5)
=> ! [X6] : big_p(X6,sK1) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ! [X0] : big_s(X0)
& ! [X1,X2] :
( ~ big_q(X1,X2)
| ~ big_p(X1,X2) )
& ! [X3] :
( ? [X4] : big_q(X4,X3)
| ~ big_s(X3) )
& ? [X5] :
! [X6] : big_p(X6,X5) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ! [X6] : big_s(X6)
& ! [X0,X1] :
( ~ big_q(X0,X1)
| ~ big_p(X0,X1) )
& ! [X2] :
( ? [X3] : big_q(X3,X2)
| ~ big_s(X2) )
& ? [X4] :
! [X5] : big_p(X5,X4) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ! [X6] : big_s(X6)
& ! [X0,X1] :
( ~ big_q(X0,X1)
| ~ big_p(X0,X1) )
& ! [X2] :
( ? [X3] : big_q(X3,X2)
| ~ big_s(X2) )
& ? [X4] :
! [X5] : big_p(X5,X4) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X0,X1] :
( big_p(X0,X1)
=> ~ big_q(X0,X1) )
& ! [X2] :
( big_s(X2)
=> ? [X3] : big_q(X3,X2) )
& ? [X4] :
! [X5] : big_p(X5,X4) )
=> ? [X6] : ~ big_s(X6) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X1,X2] :
( big_p(X1,X2)
=> ~ big_q(X1,X2) )
& ! [X1] :
( big_s(X1)
=> ? [X2] : big_q(X2,X1) )
& ? [X0] :
! [X1] : big_p(X1,X0) )
=> ? [X3] : ~ big_s(X3) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X1,X2] :
( big_p(X1,X2)
=> ~ big_q(X1,X2) )
& ! [X1] :
( big_s(X1)
=> ? [X2] : big_q(X2,X1) )
& ? [X0] :
! [X1] : big_p(X1,X0) )
=> ? [X3] : ~ big_s(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2112) ).
fof(f15,plain,
! [X0] : ~ big_p(sK0(X0),X0),
inference(resolution,[],[f12,f14]) ).
fof(f14,plain,
! [X3] : big_q(sK0(X3),X3),
inference(subsumption_resolution,[],[f11,f13]) ).
fof(f13,plain,
! [X0] : big_s(X0),
inference(cnf_transformation,[],[f9]) ).
fof(f11,plain,
! [X3] :
( big_q(sK0(X3),X3)
| ~ big_s(X3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f12,plain,
! [X2,X1] :
( ~ big_q(X1,X2)
| ~ big_p(X1,X2) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SYN361+1 : TPTP v8.1.2. Released v2.0.0.
% 0.02/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n006.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri May 3 17:40:53 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % (9729)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.31 % (9730)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.09/0.31 % (9733)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.09/0.31 % (9731)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.09/0.31 % (9732)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)
% 0.09/0.31 % (9735)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.09/0.31 % (9736)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)
% 0.14/0.31 Detected minimum model sizes of [1,1]
% 0.14/0.31 Detected minimum model sizes of [1,1]
% 0.14/0.31 Detected maximum model sizes of [max,1]
% 0.14/0.31 Detected maximum model sizes of [max,1]
% 0.14/0.31 % (9734)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.31 % (9732)Also succeeded, but the first one will report.
% 0.14/0.31 % (9735)First to succeed.
% 0.14/0.31 TRYING [1]
% 0.14/0.31 TRYING [1,1]
% 0.14/0.31 TRYING [1]
% 0.14/0.31 TRYING [1,1]
% 0.14/0.31 TRYING [2]
% 0.14/0.31 TRYING [2,1]
% 0.14/0.31 TRYING [2]
% 0.14/0.31 TRYING [2,1]
% 0.14/0.31 % (9736)Also succeeded, but the first one will report.
% 0.14/0.31 % (9734)Also succeeded, but the first one will report.
% 0.14/0.31 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.31 % (9730)Also succeeded, but the first one will report.
% 0.14/0.31 % (9733)Refutation not found, incomplete strategy% (9733)------------------------------
% 0.14/0.31 % (9733)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.31 % (9733)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.31
% 0.14/0.31 % (9733)Memory used [KB]: 723
% 0.14/0.31 % (9733)Time elapsed: 0.003 s
% 0.14/0.31 % (9733)Instructions burned: 2 (million)
% 0.14/0.31 % (9735)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9729"
% 0.14/0.31 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.31 % (9731)Refutation not found, incomplete strategy% (9731)------------------------------
% 0.14/0.31 % (9731)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.31 % (9731)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.31
% 0.14/0.31 % (9731)Memory used [KB]: 723
% 0.14/0.31 % (9731)Time elapsed: 0.003 s
% 0.14/0.31 % (9731)Instructions burned: 2 (million)
% 0.14/0.31 % (9733)------------------------------
% 0.14/0.31 % (9733)------------------------------
% 0.14/0.31 % (9731)------------------------------
% 0.14/0.31 % (9731)------------------------------
% 0.14/0.31 % (9735)Refutation found. Thanks to Tanya!
% 0.14/0.31 % SZS status Theorem for theBenchmark
% 0.14/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.31 % (9735)------------------------------
% 0.14/0.31 % (9735)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.31 % (9735)Termination reason: Refutation
% 0.14/0.31
% 0.14/0.31 % (9735)Memory used [KB]: 732
% 0.14/0.31 % (9735)Time elapsed: 0.003 s
% 0.14/0.31 % (9735)Instructions burned: 2 (million)
% 0.14/0.31 % (9729)Success in time 0.015 s
%------------------------------------------------------------------------------