TSTP Solution File: SYN595-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN595-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 12:11:38 EDT 2024
% Result : Unsatisfiable 4.12s 0.95s
% Output : Refutation 4.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 36 ( 9 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 37 ~; 36 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13772,plain,
$false,
inference(avatar_sat_refutation,[],[f136,f141,f609,f738,f13771]) ).
fof(f13771,plain,
( spl2_2
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f13768]) ).
fof(f13768,plain,
( $false
| spl2_2
| ~ spl2_7 ),
inference(resolution,[],[f13764,f595]) ).
fof(f595,plain,
( p15(c19,f6(f3(f4(f5(c17))),c16))
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f594,plain,
( spl2_7
<=> p15(c19,f6(f3(f4(f5(c17))),c16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f13764,plain,
( ~ p15(c19,f6(f3(f4(f5(c17))),c16))
| spl2_2 ),
inference(resolution,[],[f8397,f1]) ).
fof(f1,axiom,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f8397,plain,
( ! [X0] :
( ~ p2(X0,f6(f3(f4(f5(c17))),c16))
| ~ p15(c19,X0) )
| spl2_2 ),
inference(resolution,[],[f591,f17]) ).
fof(f17,axiom,
p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).
fof(f591,plain,
( ! [X0,X1] :
( ~ p2(X0,f6(f3(f4(f5(c17))),c16))
| ~ p2(X1,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))))
| ~ p15(X1,X0) )
| spl2_2 ),
inference(resolution,[],[f153,f28]) ).
fof(f28,plain,
! [X24,X22,X25] :
( sP0(X25,X22)
| ~ p2(X24,X22)
| ~ p15(X24,X25) ),
inference(cnf_transformation,[],[f28_D]) ).
fof(f28_D,plain,
! [X22,X25] :
( ! [X24] :
( ~ p2(X24,X22)
| ~ p15(X24,X25) )
<=> ~ sP0(X25,X22) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f153,plain,
( ! [X0] :
( ~ sP0(X0,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))))
| ~ p2(X0,f6(f3(f4(f5(c17))),c16)) )
| spl2_2 ),
inference(resolution,[],[f131,f29]) ).
fof(f29,plain,
! [X22,X25,X23] :
( p15(X22,X23)
| ~ p2(X25,X23)
| ~ sP0(X25,X22) ),
inference(general_splitting,[],[f19,f28_D]) ).
fof(f19,axiom,
! [X24,X22,X25,X23] :
( ~ p15(X24,X25)
| ~ p2(X25,X23)
| ~ p2(X24,X22)
| p15(X22,X23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_19) ).
fof(f131,plain,
( ~ p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16))
| spl2_2 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl2_2
<=> p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f738,plain,
spl2_7,
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f735,plain,
( $false
| spl2_7 ),
inference(resolution,[],[f611,f8]) ).
fof(f8,axiom,
p14(c19,f6(f3(f4(f5(c17))),c16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_8) ).
fof(f611,plain,
( ~ p14(c19,f6(f3(f4(f5(c17))),c16))
| spl2_7 ),
inference(resolution,[],[f596,f6]) ).
fof(f6,axiom,
! [X2,X3] :
( p15(X2,X3)
| ~ p14(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_6) ).
fof(f596,plain,
( ~ p15(c19,f6(f3(f4(f5(c17))),c16))
| spl2_7 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f609,plain,
spl2_3,
inference(avatar_contradiction_clause,[],[f606]) ).
fof(f606,plain,
( $false
| spl2_3 ),
inference(resolution,[],[f135,f5]) ).
fof(f5,axiom,
p14(c18,f3(f4(f5(c17)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_5) ).
fof(f135,plain,
( ~ p14(c18,f3(f4(f5(c17))))
| spl2_3 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl2_3
<=> p14(c18,f3(f4(f5(c17)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f141,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f138]) ).
fof(f138,plain,
( $false
| spl2_1 ),
inference(resolution,[],[f127,f1]) ).
fof(f127,plain,
( ~ p2(f3(c17),f3(c17))
| spl2_1 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl2_1
<=> p2(f3(c17),f3(c17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f136,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f84,f133,f129,f125]) ).
fof(f84,plain,
( ~ p14(c18,f3(f4(f5(c17))))
| ~ p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16))
| ~ p2(f3(c17),f3(c17)) ),
inference(resolution,[],[f26,f2]) ).
fof(f2,axiom,
! [X1] : p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
fof(f26,axiom,
! [X48,X46,X47] :
( ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),X47),f8(f10(f11(f3(f4(f5(c17)))),X46),f9(f11(X48),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(X47,f3(f4(f5(c17))))
| ~ p15(X48,f6(f3(f4(f5(c17))),c16))
| ~ p2(X46,f3(c17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_26) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN595-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 17:41:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (13504)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (13510)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (13508)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (13507)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)
% 0.15/0.37 % (13509)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (13506)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (13511)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)
% 0.15/0.37 % (13505)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.21/0.44 TRYING [4]
% 0.21/0.47 TRYING [4]
% 0.21/0.47 TRYING [4]
% 0.21/0.48 TRYING [4]
% 0.21/0.58 TRYING [5]
% 0.21/0.60 TRYING [5]
% 0.21/0.60 TRYING [5]
% 1.87/0.61 TRYING [5]
% 2.57/0.71 TRYING [6]
% 2.57/0.73 TRYING [6]
% 2.57/0.76 TRYING [6]
% 3.04/0.85 TRYING [6]
% 4.12/0.94 % (13507)First to succeed.
% 4.12/0.94 % (13507)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13504"
% 4.12/0.95 % (13507)Refutation found. Thanks to Tanya!
% 4.12/0.95 % SZS status Unsatisfiable for theBenchmark
% 4.12/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 4.12/0.95 % (13507)------------------------------
% 4.12/0.95 % (13507)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 4.12/0.95 % (13507)Termination reason: Refutation
% 4.12/0.95
% 4.12/0.95 % (13507)Memory used [KB]: 6698
% 4.12/0.95 % (13507)Time elapsed: 0.574 s
% 4.12/0.95 % (13507)Instructions burned: 2051 (million)
% 4.12/0.95 % (13504)Success in time 0.573 s
%------------------------------------------------------------------------------