TSTP Solution File: SYN708-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN708-1 : 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 : n029.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 12:12:00 EDT 2024
% Result : Unsatisfiable 40.22s 6.12s
% Output : Refutation 40.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of formulae : 45 ( 14 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 101 ( 51 ~; 48 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f110803,plain,
$false,
inference(avatar_sat_refutation,[],[f150,f1285,f110802]) ).
fof(f110802,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f110801]) ).
fof(f110801,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f110799,f13280]) ).
fof(f13280,plain,
p16(f19(f15(c56)),f28(f19(c56))),
inference(resolution,[],[f13246,f3]) ).
fof(f3,axiom,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_3) ).
fof(f13246,plain,
! [X0] :
( ~ p10(X0,c56)
| p16(f19(f15(X0)),f28(f19(c56))) ),
inference(resolution,[],[f3637,f1]) ).
fof(f1,axiom,
p38(c56),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c56_is_p38_1) ).
fof(f3637,plain,
! [X0,X1] :
( ~ p38(X1)
| p16(f19(f15(X0)),f28(f19(X1)))
| ~ p10(X0,X1) ),
inference(resolution,[],[f895,f35]) ).
fof(f35,axiom,
! [X44,X45] :
( p10(f15(X44),f15(X45))
| ~ p10(X44,X45) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_35) ).
fof(f895,plain,
! [X0,X1] :
( ~ p10(X0,f15(X1))
| p16(f19(X0),f28(f19(X1)))
| ~ p38(X1) ),
inference(resolution,[],[f459,f36]) ).
fof(f36,axiom,
! [X7] :
( p16(f19(f15(X7)),f28(f19(X7)))
| ~ p38(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_36) ).
fof(f459,plain,
! [X2,X0,X1] :
( ~ p16(f19(X1),X2)
| ~ p10(X0,X1)
| p16(f19(X0),X2) ),
inference(resolution,[],[f457,f42]) ).
fof(f42,axiom,
! [X56,X57,X5] :
( ~ p16(X5,X56)
| ~ p16(X5,X57)
| p16(X56,X57) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_42) ).
fof(f457,plain,
! [X0,X1] :
( p16(f19(X0),f19(X1))
| ~ p10(X1,X0) ),
inference(resolution,[],[f106,f8]) ).
fof(f8,axiom,
! [X5] : p16(X5,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_8) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ p16(f19(X0),X1)
| p16(f19(X2),X1)
| ~ p10(X0,X2) ),
inference(resolution,[],[f42,f32]) ).
fof(f32,axiom,
! [X38,X39] :
( p16(f19(X38),f19(X39))
| ~ p10(X38,X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_32) ).
fof(f110799,plain,
( ~ p16(f19(f15(c56)),f28(f19(c56)))
| ~ spl0_1 ),
inference(resolution,[],[f2265,f69]) ).
fof(f69,axiom,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p39_69) ).
fof(f2265,plain,
( ! [X0] :
( p39(X0,f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))))
| ~ p16(f19(f15(c56)),X0) )
| ~ spl0_1 ),
inference(resolution,[],[f1303,f698]) ).
fof(f698,plain,
p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),c48),
inference(resolution,[],[f208,f3]) ).
fof(f208,plain,
! [X0] :
( ~ p10(c48,X0)
| p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),X0) ),
inference(resolution,[],[f66,f37]) ).
fof(f37,axiom,
! [X0,X46,X47] :
( ~ p10(X0,X46)
| ~ p10(X0,X47)
| p10(X46,X47) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_37) ).
fof(f66,axiom,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_66) ).
fof(f1303,plain,
( ! [X0,X1] :
( ~ p10(X1,c48)
| p39(X0,f19(X1))
| ~ p16(f19(f15(c56)),X0) )
| ~ spl0_1 ),
inference(resolution,[],[f1300,f457]) ).
fof(f1300,plain,
( ! [X0,X1] :
( ~ p16(f19(c48),X0)
| ~ p16(f19(f15(c56)),X1)
| p39(X1,X0) )
| ~ spl0_1 ),
inference(resolution,[],[f145,f52]) ).
fof(f52,axiom,
! [X82,X83,X84,X85] :
( ~ p39(X85,X84)
| ~ p16(X84,X83)
| ~ p16(X85,X82)
| p39(X82,X83) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_52) ).
fof(f145,plain,
( p39(f19(f15(c56)),f19(c48))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl0_1
<=> p39(f19(f15(c56)),f19(c48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1285,plain,
spl0_2,
inference(avatar_split_clause,[],[f1284,f147]) ).
fof(f147,plain,
( spl0_2
<=> p38(c48) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1284,plain,
p38(c48),
inference(subsumption_resolution,[],[f1266,f64]) ).
fof(f64,axiom,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11_is_p38_64) ).
fof(f1266,plain,
( p38(c48)
| ~ p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
inference(resolution,[],[f698,f19]) ).
fof(f19,axiom,
! [X12,X13] :
( ~ p10(X13,X12)
| p38(X12)
| ~ p38(X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p38_19) ).
fof(f150,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f141,f147,f143]) ).
fof(f141,plain,
( ~ p38(c48)
| p39(f19(f15(c56)),f19(c48)) ),
inference(subsumption_resolution,[],[f140,f120]) ).
fof(f120,plain,
p38(f15(c56)),
inference(resolution,[],[f118,f3]) ).
fof(f118,plain,
! [X0] :
( ~ p10(c56,X0)
| p38(f15(X0)) ),
inference(resolution,[],[f117,f1]) ).
fof(f117,plain,
! [X0,X1] :
( ~ p38(X1)
| ~ p10(X1,X0)
| p38(f15(X0)) ),
inference(resolution,[],[f86,f15]) ).
fof(f15,axiom,
! [X7] :
( p38(f15(X7))
| ~ p38(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p38_15) ).
fof(f86,plain,
! [X0,X1] :
( ~ p38(f15(X0))
| p38(f15(X1))
| ~ p10(X0,X1) ),
inference(resolution,[],[f35,f19]) ).
fof(f140,plain,
( ~ p38(f15(c56))
| ~ p38(c48)
| p39(f19(f15(c56)),f19(c48)) ),
inference(resolution,[],[f54,f13]) ).
fof(f13,axiom,
p37(f15(c56),c48),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37_13) ).
fof(f54,axiom,
! [X60,X61] :
( ~ p37(X60,X61)
| ~ p38(X60)
| ~ p38(X61)
| p39(f19(X60),f19(X61)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39_54) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN708-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n029.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri May 3 17:50:08 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % (13004)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.34 % (13011)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)
% 0.10/0.34 % (13006)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.10/0.34 % (13010)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.10/0.34 % (13009)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.10/0.34 % (13007)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)
% 0.10/0.34 % (13008)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.10/0.34 % (13005)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.10/0.35 TRYING [1]
% 0.10/0.35 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.10/0.35 Detected minimum model sizes of [1,1,1,1,1,1]
% 0.10/0.35 Detected maximum model sizes of [max,2,max,max,max,max]
% 0.10/0.35 TRYING [1,1,1,1,1,1]
% 0.10/0.35 TRYING [1]
% 0.10/0.35 TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.10/0.35 TRYING [2]
% 0.10/0.35 TRYING [2,1,1,1,1,1]
% 0.10/0.36 TRYING [2]
% 0.10/0.36 TRYING [3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.10/0.36 TRYING [3,1,1,1,1,1]
% 0.10/0.37 TRYING [3]
% 0.10/0.37 TRYING [3]
% 0.10/0.38 TRYING [4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.10/0.39 TRYING [4,1,1,1,1,1]
% 0.10/0.39 TRYING [4]
% 0.10/0.40 TRYING [4]
% 0.15/0.43 TRYING [5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.43 TRYING [5,1,1,1,1,1]
% 0.15/0.45 TRYING [5]
% 0.15/0.48 TRYING [5]
% 0.15/0.52 TRYING [6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.55 TRYING [6,1,1,1,1,1]
% 0.15/0.56 TRYING [6]
% 2.18/0.65 TRYING [6]
% 2.18/0.71 TRYING [7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 2.74/0.73 TRYING [7,1,1,1,1,1]
% 3.21/0.80 TRYING [7]
% 4.84/1.07 TRYING [8,1,1,1,1,1]
% 5.32/1.12 TRYING [8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 5.32/1.13 TRYING [8]
% 6.39/1.27 TRYING [7]
% 10.19/1.80 TRYING [9]
% 10.50/1.83 TRYING [9,1,1,1,1,1]
% 11.09/1.95 TRYING [9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 20.01/3.23 TRYING [10,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 22.25/3.56 TRYING [10]
% 25.73/4.03 TRYING [10,1,1,1,1,1]
% 29.70/4.63 TRYING [8]
% 34.96/5.37 TRYING [11,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 40.22/6.11 % (13010)First to succeed.
% 40.22/6.11 % (13010)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13004"
% 40.22/6.12 % (13010)Refutation found. Thanks to Tanya!
% 40.22/6.12 % SZS status Unsatisfiable for theBenchmark
% 40.22/6.12 % SZS output start Proof for theBenchmark
% See solution above
% 40.22/6.12 % (13010)------------------------------
% 40.22/6.12 % (13010)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 40.22/6.12 % (13010)Termination reason: Refutation
% 40.22/6.12
% 40.22/6.12 % (13010)Memory used [KB]: 40748
% 40.22/6.12 % (13010)Time elapsed: 5.766 s
% 40.22/6.12 % (13010)Instructions burned: 16508 (million)
% 40.22/6.12 % (13004)Success in time 5.742 s
%------------------------------------------------------------------------------