TSTP Solution File: SYN386+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN386+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 : n007.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 : Tue Apr 30 18:03:08 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 143 ( 46 ~; 33 |; 39 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 176 ( 122 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,plain,
$false,
inference(resolution,[],[f24,f20]) ).
fof(f20,plain,
! [X2,X0] : ~ big_d(sK2(X0,X2),X0,sK0(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( ! [X0,X2] :
( ~ big_d(sK2(X0,X2),X0,sK0(X0))
& big_f(sK1(X0,X2),sK2(X0,X2))
& big_s(X2,sK1(X0,X2)) )
& ! [X5,X7,X8] :
( ! [X9,X10] :
( big_d(X9,X10,X5)
| ~ big_f(X8,X10)
| ~ big_f(X7,X9) )
| ~ big_d(X7,X8,sK3(X5)) )
& ! [X12,X14] :
( big_d(X14,sK4,X12)
| ~ big_s(sK5(X12),X14) )
& ! [X15] : big_f(X15,sK6(X15)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f6,f13,f12,f11,f10,f9,f8,f7]) ).
fof(f7,plain,
! [X0] :
( ? [X1] :
! [X2] :
? [X3] :
( ? [X4] :
( ~ big_d(X4,X0,X1)
& big_f(X3,X4) )
& big_s(X2,X3) )
=> ! [X2] :
? [X3] :
( ? [X4] :
( ~ big_d(X4,X0,sK0(X0))
& big_f(X3,X4) )
& big_s(X2,X3) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X0,X2] :
( ? [X3] :
( ? [X4] :
( ~ big_d(X4,X0,sK0(X0))
& big_f(X3,X4) )
& big_s(X2,X3) )
=> ( ? [X4] :
( ~ big_d(X4,X0,sK0(X0))
& big_f(sK1(X0,X2),X4) )
& big_s(X2,sK1(X0,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
! [X0,X2] :
( ? [X4] :
( ~ big_d(X4,X0,sK0(X0))
& big_f(sK1(X0,X2),X4) )
=> ( ~ big_d(sK2(X0,X2),X0,sK0(X0))
& big_f(sK1(X0,X2),sK2(X0,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
! [X5] :
( ? [X6] :
! [X7,X8] :
( ! [X9,X10] :
( big_d(X9,X10,X5)
| ~ big_f(X8,X10)
| ~ big_f(X7,X9) )
| ~ big_d(X7,X8,X6) )
=> ! [X8,X7] :
( ! [X9,X10] :
( big_d(X9,X10,X5)
| ~ big_f(X8,X10)
| ~ big_f(X7,X9) )
| ~ big_d(X7,X8,sK3(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
( ? [X11] :
! [X12] :
? [X13] :
! [X14] :
( big_d(X14,X11,X12)
| ~ big_s(X13,X14) )
=> ! [X12] :
? [X13] :
! [X14] :
( big_d(X14,sK4,X12)
| ~ big_s(X13,X14) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
! [X12] :
( ? [X13] :
! [X14] :
( big_d(X14,sK4,X12)
| ~ big_s(X13,X14) )
=> ! [X14] :
( big_d(X14,sK4,X12)
| ~ big_s(sK5(X12),X14) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X15] :
( ? [X16] : big_f(X15,X16)
=> big_f(X15,sK6(X15)) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ! [X0] :
? [X1] :
! [X2] :
? [X3] :
( ? [X4] :
( ~ big_d(X4,X0,X1)
& big_f(X3,X4) )
& big_s(X2,X3) )
& ! [X5] :
? [X6] :
! [X7,X8] :
( ! [X9,X10] :
( big_d(X9,X10,X5)
| ~ big_f(X8,X10)
| ~ big_f(X7,X9) )
| ~ big_d(X7,X8,X6) )
& ? [X11] :
! [X12] :
? [X13] :
! [X14] :
( big_d(X14,X11,X12)
| ~ big_s(X13,X14) )
& ! [X15] :
? [X16] : big_f(X15,X16) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ! [X12] :
? [X13] :
! [X14] :
? [X15] :
( ? [X16] :
( ~ big_d(X16,X12,X13)
& big_f(X15,X16) )
& big_s(X14,X15) )
& ! [X0] :
? [X1] :
! [X2,X3] :
( ! [X4,X5] :
( big_d(X4,X5,X0)
| ~ big_f(X3,X5)
| ~ big_f(X2,X4) )
| ~ big_d(X2,X3,X1) )
& ? [X6] :
! [X7] :
? [X8] :
! [X9] :
( big_d(X9,X6,X7)
| ~ big_s(X8,X9) )
& ! [X10] :
? [X11] : big_f(X10,X11) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ! [X12] :
? [X13] :
! [X14] :
? [X15] :
( ? [X16] :
( ~ big_d(X16,X12,X13)
& big_f(X15,X16) )
& big_s(X14,X15) )
& ! [X0] :
? [X1] :
! [X2,X3] :
( ! [X4,X5] :
( big_d(X4,X5,X0)
| ~ big_f(X3,X5)
| ~ big_f(X2,X4) )
| ~ big_d(X2,X3,X1) )
& ? [X6] :
! [X7] :
? [X8] :
! [X9] :
( big_d(X9,X6,X7)
| ~ big_s(X8,X9) )
& ! [X10] :
? [X11] : big_f(X10,X11) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X0] :
? [X1] :
! [X2,X3] :
( big_d(X2,X3,X1)
=> ! [X4,X5] :
( ( big_f(X3,X5)
& big_f(X2,X4) )
=> big_d(X4,X5,X0) ) )
& ? [X6] :
! [X7] :
? [X8] :
! [X9] :
( big_s(X8,X9)
=> big_d(X9,X6,X7) )
& ! [X10] :
? [X11] : big_f(X10,X11) )
=> ? [X12] :
! [X13] :
? [X14] :
! [X15] :
( big_s(X14,X15)
=> ! [X16] :
( big_f(X15,X16)
=> big_d(X16,X12,X13) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X2] :
? [X5] :
! [X6,X7] :
( big_d(X6,X7,X5)
=> ! [X1,X8] :
( ( big_f(X7,X8)
& big_f(X6,X1) )
=> big_d(X1,X8,X2) ) )
& ? [X0] :
! [X2] :
? [X3] :
! [X4] :
( big_s(X3,X4)
=> big_d(X4,X0,X2) )
& ! [X0] :
? [X1] : big_f(X0,X1) )
=> ? [X1] :
! [X2] :
? [X9] :
! [X4] :
( big_s(X9,X4)
=> ! [X8] :
( big_f(X4,X8)
=> big_d(X8,X1,X2) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X2] :
? [X5] :
! [X6,X7] :
( big_d(X6,X7,X5)
=> ! [X1,X8] :
( ( big_f(X7,X8)
& big_f(X6,X1) )
=> big_d(X1,X8,X2) ) )
& ? [X0] :
! [X2] :
? [X3] :
! [X4] :
( big_s(X3,X4)
=> big_d(X4,X0,X2) )
& ! [X0] :
? [X1] : big_f(X0,X1) )
=> ? [X1] :
! [X2] :
? [X9] :
! [X4] :
( big_s(X9,X4)
=> ! [X8] :
( big_f(X4,X8)
=> big_d(X8,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2138) ).
fof(f24,plain,
! [X0,X1] : big_d(sK2(X0,sK5(sK3(X1))),sK6(sK4),X1),
inference(resolution,[],[f23,f19]) ).
fof(f19,plain,
! [X2,X0] : big_f(sK1(X0,X2),sK2(X0,X2)),
inference(cnf_transformation,[],[f14]) ).
fof(f23,plain,
! [X2,X0,X1] :
( ~ big_f(sK1(X0,sK5(sK3(X1))),X2)
| big_d(X2,sK6(sK4),X1) ),
inference(resolution,[],[f22,f15]) ).
fof(f15,plain,
! [X15] : big_f(X15,sK6(X15)),
inference(cnf_transformation,[],[f14]) ).
fof(f22,plain,
! [X2,X3,X0,X1] :
( ~ big_f(sK4,X0)
| ~ big_f(sK1(X1,sK5(sK3(X2))),X3)
| big_d(X3,X0,X2) ),
inference(resolution,[],[f17,f21]) ).
fof(f21,plain,
! [X0,X1] : big_d(sK1(X0,sK5(X1)),sK4,X1),
inference(resolution,[],[f16,f18]) ).
fof(f18,plain,
! [X2,X0] : big_s(X2,sK1(X0,X2)),
inference(cnf_transformation,[],[f14]) ).
fof(f16,plain,
! [X14,X12] :
( ~ big_s(sK5(X12),X14)
| big_d(X14,sK4,X12) ),
inference(cnf_transformation,[],[f14]) ).
fof(f17,plain,
! [X10,X8,X9,X7,X5] :
( ~ big_d(X7,X8,sK3(X5))
| ~ big_f(X8,X10)
| ~ big_f(X7,X9)
| big_d(X9,X10,X5) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN386+1 : TPTP v8.1.2. Released v2.0.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 01:37:48 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (29330)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (29334)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (29336)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (29335)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (29331)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (29333)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)
% 0.15/0.38 % (29337)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)
% 0.15/0.38 % (29332)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (29335)First to succeed.
% 0.15/0.38 TRYING [1,1,1]
% 0.15/0.38 TRYING [1,1,1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2,1,1]
% 0.15/0.38 TRYING [2,1,1]
% 0.15/0.38 TRYING [2,2,1]
% 0.15/0.38 TRYING [2,2,1]
% 0.15/0.38 % (29333)Also succeeded, but the first one will report.
% 0.15/0.38 TRYING [2,1,2]
% 0.15/0.38 TRYING [2,1,2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [2,2,2]
% 0.15/0.38 TRYING [2,2,2]
% 0.15/0.38 % (29335)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (29335)------------------------------
% 0.15/0.38 % (29335)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (29335)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (29335)Memory used [KB]: 737
% 0.15/0.38 % (29335)Time elapsed: 0.004 s
% 0.15/0.38 % (29335)Instructions burned: 4 (million)
% 0.15/0.38 % (29335)------------------------------
% 0.15/0.38 % (29335)------------------------------
% 0.15/0.38 % (29330)Success in time 0.009 s
%------------------------------------------------------------------------------