TSTP Solution File: SYN364+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN364+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 : n018.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 12:09:54 EDT 2024
% Result : Theorem 0.13s 0.53s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 106 ( 36 ~; 29 |; 30 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 70 ( 53 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,plain,
$false,
inference(subsumption_resolution,[],[f22,f19]) ).
fof(f19,plain,
! [X0] : big_m(X0),
inference(resolution,[],[f17,f15]) ).
fof(f15,plain,
! [X0,X1] :
( big_p(X1,X1)
| big_m(X0) ),
inference(resolution,[],[f11,f10]) ).
fof(f10,plain,
! [X6,X7,X5] :
( ~ big_p(X5,X7)
| big_p(X6,X6) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X1] :
( ~ big_p(sK0,sK0)
| ~ big_p(g(sK0),X1) )
& ! [X2] :
( ~ big_m(g(X2))
| ~ big_q(X2) )
& ! [X3] :
( ( big_q(f(X3,sK1(X3)))
& big_m(X3) )
| big_p(X3,sK1(X3)) )
& ! [X5] :
( ! [X6] : big_p(X6,X6)
| ! [X7] : ~ big_p(X5,X7) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X0] :
! [X1] :
( ~ big_p(X0,X0)
| ~ big_p(g(X0),X1) )
=> ! [X1] :
( ~ big_p(sK0,sK0)
| ~ big_p(g(sK0),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X3] :
( ? [X4] :
( ( big_q(f(X3,X4))
& big_m(X3) )
| big_p(X3,X4) )
=> ( ( big_q(f(X3,sK1(X3)))
& big_m(X3) )
| big_p(X3,sK1(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ? [X0] :
! [X1] :
( ~ big_p(X0,X0)
| ~ big_p(g(X0),X1) )
& ! [X2] :
( ~ big_m(g(X2))
| ~ big_q(X2) )
& ! [X3] :
? [X4] :
( ( big_q(f(X3,X4))
& big_m(X3) )
| big_p(X3,X4) )
& ! [X5] :
( ! [X6] : big_p(X6,X6)
| ! [X7] : ~ big_p(X5,X7) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ? [X6] :
! [X7] :
( ~ big_p(X6,X6)
| ~ big_p(g(X6),X7) )
& ! [X0] :
( ~ big_m(g(X0))
| ~ big_q(X0) )
& ! [X1] :
? [X2] :
( ( big_q(f(X1,X2))
& big_m(X1) )
| big_p(X1,X2) )
& ! [X3] :
( ! [X5] : big_p(X5,X5)
| ! [X4] : ~ big_p(X3,X4) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ? [X6] :
! [X7] :
( ~ big_p(X6,X6)
| ~ big_p(g(X6),X7) )
& ! [X0] :
( ~ big_m(g(X0))
| ~ big_q(X0) )
& ! [X1] :
? [X2] :
( ( big_q(f(X1,X2))
& big_m(X1) )
| big_p(X1,X2) )
& ! [X3] :
( ! [X5] : big_p(X5,X5)
| ! [X4] : ~ big_p(X3,X4) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X0] :
( big_q(X0)
=> ~ big_m(g(X0)) )
& ! [X1] :
? [X2] :
( ( big_q(f(X1,X2))
& big_m(X1) )
| big_p(X1,X2) )
& ! [X3] :
( ? [X4] : big_p(X3,X4)
=> ! [X5] : big_p(X5,X5) ) )
=> ! [X6] :
? [X7] :
( big_p(X6,X6)
& big_p(g(X6),X7) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X5] :
( big_q(X5)
=> ~ big_m(g(X5)) )
& ! [X3] :
? [X4] :
( ( big_q(f(X3,X4))
& big_m(X3) )
| big_p(X3,X4) )
& ! [X0] :
( ? [X1] : big_p(X0,X1)
=> ! [X2] : big_p(X2,X2) ) )
=> ! [X3] :
? [X4] :
( big_p(X3,X3)
& big_p(g(X3),X4) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X5] :
( big_q(X5)
=> ~ big_m(g(X5)) )
& ! [X3] :
? [X4] :
( ( big_q(f(X3,X4))
& big_m(X3) )
| big_p(X3,X4) )
& ! [X0] :
( ? [X1] : big_p(X0,X1)
=> ! [X2] : big_p(X2,X2) ) )
=> ! [X3] :
? [X4] :
( big_p(X3,X3)
& big_p(g(X3),X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2115) ).
fof(f11,plain,
! [X3] :
( big_p(X3,sK1(X3))
| big_m(X3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
! [X1] : ~ big_p(g(sK0),X1),
inference(subsumption_resolution,[],[f14,f10]) ).
fof(f14,plain,
! [X1] :
( ~ big_p(sK0,sK0)
| ~ big_p(g(sK0),X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
~ big_m(g(f(g(sK0),sK1(g(sK0))))),
inference(resolution,[],[f21,f13]) ).
fof(f13,plain,
! [X2] :
( ~ big_q(X2)
| ~ big_m(g(X2)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f21,plain,
big_q(f(g(sK0),sK1(g(sK0)))),
inference(resolution,[],[f12,f17]) ).
fof(f12,plain,
! [X3] :
( big_p(X3,sK1(X3))
| big_q(f(X3,sK1(X3))) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.27 % Problem : SYN364+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.29 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.50 % Computer : n018.cluster.edu
% 0.13/0.50 % Model : x86_64 x86_64
% 0.13/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.50 % Memory : 8042.1875MB
% 0.13/0.50 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.51 % CPULimit : 300
% 0.13/0.51 % WCLimit : 300
% 0.13/0.51 % DateTime : Fri May 3 17:52:53 EDT 2024
% 0.13/0.51 % CPUTime :
% 0.13/0.51 % (2741)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.52 % (2745)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.52 TRYING [1]
% 0.13/0.52 TRYING [2]
% 0.13/0.52 TRYING [3]
% 0.13/0.52 TRYING [4]
% 0.13/0.52 TRYING [5]
% 0.13/0.52 TRYING [6]
% 0.13/0.53 TRYING [7]
% 0.13/0.53 % (2742)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.53 % (2743)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.53 % (2744)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)
% 0.13/0.53 % (2746)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.53 % (2747)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.53 % (2748)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)
% 0.13/0.53 TRYING [1]
% 0.13/0.53 TRYING [2]
% 0.13/0.53 TRYING [1]
% 0.13/0.53 TRYING [8]
% 0.13/0.53 TRYING [2]
% 0.13/0.53 TRYING [3]
% 0.13/0.53 TRYING [1]
% 0.13/0.53 % (2746)First to succeed.
% 0.13/0.53 % (2747)Also succeeded, but the first one will report.
% 0.13/0.53 TRYING [3]
% 0.13/0.53 TRYING [2]
% 0.13/0.53 % (2744)Also succeeded, but the first one will report.
% 0.13/0.53 TRYING [3]
% 0.13/0.53 % (2746)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2741"
% 0.13/0.53 TRYING [4]
% 0.13/0.53 TRYING [4]
% 0.13/0.53 TRYING [4]
% 0.13/0.53 % (2746)Refutation found. Thanks to Tanya!
% 0.13/0.53 % SZS status Theorem for theBenchmark
% 0.13/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.53 % (2746)------------------------------
% 0.13/0.53 % (2746)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.53 % (2746)Termination reason: Refutation
% 0.13/0.53
% 0.13/0.53 % (2746)Memory used [KB]: 745
% 0.13/0.53 % (2746)Time elapsed: 0.004 s
% 0.13/0.53 % (2746)Instructions burned: 3 (million)
% 0.13/0.53 % (2741)Success in time 0.018 s
%------------------------------------------------------------------------------