TSTP Solution File: SYN612-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN612-1 : 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 : n002.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 12:11:41 EDT 2024
% Result : Unsatisfiable 12.61s 2.10s
% Output : Refutation 12.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 67 ( 35 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32395,plain,
$false,
inference(resolution,[],[f32393,f1255]) ).
fof(f1255,plain,
p3(f12(f12(f4(f6(f7(f8(c20)))),c21),c21),f4(f6(f7(f8(c20))))),
inference(resolution,[],[f257,f100]) ).
fof(f100,plain,
p3(f4(f6(f7(f8(c20)))),f12(f4(f6(f7(f8(c20)))),c21)),
inference(resolution,[],[f57,f4]) ).
fof(f4,axiom,
! [X2] : p3(X2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_4) ).
fof(f57,plain,
! [X0] :
( ~ p3(f12(f4(f6(f7(f8(c20)))),c21),X0)
| p3(f4(f6(f7(f8(c20)))),X0) ),
inference(resolution,[],[f22,f19]) ).
fof(f19,axiom,
! [X2,X24,X23] :
( ~ p3(X2,X23)
| ~ p3(X2,X24)
| p3(X23,X24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_19) ).
fof(f22,axiom,
p3(f12(f4(f6(f7(f8(c20)))),c21),f4(f6(f7(f8(c20))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_22) ).
fof(f257,plain,
! [X0] :
( ~ p3(f4(f6(f7(f8(c20)))),X0)
| p3(f12(X0,c21),f4(f6(f7(f8(c20))))) ),
inference(resolution,[],[f141,f22]) ).
fof(f141,plain,
! [X2,X3,X0,X1] :
( ~ p3(f12(X0,X2),X3)
| ~ p3(X0,X1)
| p3(f12(X1,X2),X3) ),
inference(resolution,[],[f72,f3]) ).
fof(f3,axiom,
! [X1] : p5(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_3) ).
fof(f72,plain,
! [X2,X3,X0,X1,X4] :
( ~ p5(X2,X3)
| ~ p3(X0,X1)
| ~ p3(f12(X0,X2),X4)
| p3(f12(X1,X3),X4) ),
inference(resolution,[],[f26,f19]) ).
fof(f26,axiom,
! [X48,X46,X47,X45] :
( p3(f12(X45,X46),f12(X47,X48))
| ~ p3(X45,X47)
| ~ p5(X46,X48) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_26) ).
fof(f32393,plain,
! [X0] : ~ p3(f12(X0,c21),f4(f6(f7(f8(c20))))),
inference(subsumption_resolution,[],[f32391,f2]) ).
fof(f2,axiom,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).
fof(f32391,plain,
! [X0] :
( ~ p2(f6(f7(f8(c20))),f6(f7(f8(c20))))
| ~ p3(f12(X0,c21),f4(f6(f7(f8(c20))))) ),
inference(resolution,[],[f3316,f28]) ).
fof(f28,axiom,
! [X49] : ~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X49,c21))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p17_28) ).
fof(f3316,plain,
! [X0,X1] :
( p17(f9(f10(f14(f4(f9(c19)),c19),X1)),X0)
| ~ p2(f6(f7(f8(c20))),X0)
| ~ p3(X1,f4(f6(f7(f8(c20))))) ),
inference(resolution,[],[f426,f4]) ).
fof(f426,plain,
! [X2,X0,X1] :
( ~ p3(X0,f14(f4(f9(c19)),c19))
| ~ p2(f6(f7(f8(c20))),X2)
| p17(f9(f10(X0,X1)),X2)
| ~ p3(X1,f4(f6(f7(f8(c20))))) ),
inference(resolution,[],[f180,f113]) ).
fof(f113,plain,
! [X2,X3,X0,X1] :
( p3(f10(X3,X1),f10(X2,X0))
| ~ p3(X2,X3)
| ~ p3(X0,X1) ),
inference(resolution,[],[f64,f4]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X4] :
( ~ p3(f10(X0,X2),X4)
| ~ p3(X2,X3)
| ~ p3(X0,X1)
| p3(f10(X1,X3),X4) ),
inference(resolution,[],[f24,f19]) ).
fof(f24,axiom,
! [X40,X38,X39,X37] :
( p3(f10(X37,X38),f10(X39,X40))
| ~ p3(X37,X39)
| ~ p3(X38,X40) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_24) ).
fof(f180,plain,
! [X0,X1] :
( ~ p3(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20))))),X1)
| p17(f9(X1),X0)
| ~ p2(f6(f7(f8(c20))),X0) ),
inference(resolution,[],[f82,f12]) ).
fof(f12,axiom,
! [X10,X9] :
( p2(f9(X9),f9(X10))
| ~ p3(X9,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
fof(f82,plain,
! [X0,X1] :
( ~ p2(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),X1)
| ~ p2(f6(f7(f8(c20))),X0)
| p17(X1,X0) ),
inference(resolution,[],[f29,f20]) ).
fof(f20,axiom,
! [X28,X26,X27,X25] :
( ~ p17(X27,X28)
| ~ p2(X28,X26)
| ~ p2(X27,X25)
| p17(X25,X26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_20) ).
fof(f29,axiom,
p17(f9(f10(f14(f4(f9(c19)),c19),f4(f6(f7(f8(c20)))))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_29) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SYN612-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.29 % Computer : n002.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Fri May 3 17:10:07 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.10/0.29 % (21962)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.31 % (21964)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.31 % (21966)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.31 % (21968)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.31 % (21967)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.31 % (21965)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)
% 0.14/0.31 % (21969)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 % (21963)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.31 TRYING [1,1,1,1]
% 0.14/0.31 TRYING [2,1,1,1]
% 0.14/0.31 TRYING [1,1]
% 0.14/0.31 TRYING [2,1]
% 0.14/0.31 TRYING [1]
% 0.14/0.31 TRYING [1]
% 0.14/0.31 TRYING [2]
% 0.14/0.31 TRYING [2]
% 0.14/0.31 TRYING [3,1,1,1]
% 0.14/0.31 TRYING [3,1]
% 0.14/0.32 TRYING [3]
% 0.14/0.32 TRYING [3]
% 0.14/0.33 TRYING [4,1,1,1]
% 0.14/0.33 TRYING [4,1]
% 0.14/0.33 TRYING [4]
% 0.14/0.33 TRYING [4]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 TRYING [5,1,1,1]
% 0.14/0.38 TRYING [5,1]
% 0.14/0.39 TRYING [5]
% 0.14/0.51 TRYING [6]
% 2.11/0.61 TRYING [6,1,1,1]
% 2.43/0.64 TRYING [6]
% 2.43/0.64 TRYING [6,1]
% 4.45/0.93 TRYING [7]
% 8.31/1.50 TRYING [7]
% 9.33/1.65 TRYING [7,1]
% 9.33/1.68 TRYING [7,1,1,1]
% 12.61/2.10 % (21968)First to succeed.
% 12.61/2.10 % (21968)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21962"
% 12.61/2.10 % (21968)Refutation found. Thanks to Tanya!
% 12.61/2.10 % SZS status Unsatisfiable for theBenchmark
% 12.61/2.10 % SZS output start Proof for theBenchmark
% See solution above
% 12.61/2.10 % (21968)------------------------------
% 12.61/2.10 % (21968)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 12.61/2.10 % (21968)Termination reason: Refutation
% 12.61/2.10
% 12.61/2.10 % (21968)Memory used [KB]: 12635
% 12.61/2.10 % (21968)Time elapsed: 1.786 s
% 12.61/2.10 % (21968)Instructions burned: 4435 (million)
% 12.61/2.10 % (21962)Success in time 1.787 s
%------------------------------------------------------------------------------