TSTP Solution File: SYN686-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN686-1 : 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 : n013.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 12:11:55 EDT 2024
% Result : Unsatisfiable 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 25
% Syntax : Number of formulae : 61 ( 15 unt; 0 def)
% Number of atoms : 135 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 145 ( 71 ~; 66 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 8 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f728,plain,
$false,
inference(avatar_sat_refutation,[],[f242,f252,f272,f294,f296,f324,f720,f727]) ).
fof(f727,plain,
spl2_14,
inference(avatar_contradiction_clause,[],[f724]) ).
fof(f724,plain,
( $false
| spl2_14 ),
inference(resolution,[],[f719,f12]) ).
fof(f12,axiom,
! [X11] : p2(X11,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
fof(f719,plain,
( ~ p2(c32,c32)
| spl2_14 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f717,plain,
( spl2_14
<=> p2(c32,c32) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f720,plain,
( ~ spl2_14
| ~ spl2_10
| spl2_8 ),
inference(avatar_split_clause,[],[f700,f269,f291,f717]) ).
fof(f291,plain,
( spl2_10
<=> p3(f7(c33,c34),c36) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f269,plain,
( spl2_8
<=> p4(c35,c37) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f700,plain,
( ~ p3(f7(c33,c34),c36)
| ~ p2(c32,c32)
| spl2_8 ),
inference(resolution,[],[f402,f20]) ).
fof(f20,axiom,
p4(f5(c32,f7(c33,c34)),c35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_20) ).
fof(f402,plain,
( ! [X0,X1] :
( ~ p4(f5(X0,X1),c35)
| ~ p3(X1,c36)
| ~ p2(X0,c32) )
| spl2_8 ),
inference(resolution,[],[f363,f50]) ).
fof(f50,axiom,
! [X94,X95,X92,X93] :
( p4(f5(X92,X93),f5(X94,X95))
| ~ p3(X93,X95)
| ~ p2(X92,X94) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_50) ).
fof(f363,plain,
( ! [X0] :
( ~ p4(X0,f5(c32,c36))
| ~ p4(X0,c35) )
| spl2_8 ),
inference(resolution,[],[f334,f19]) ).
fof(f19,axiom,
p4(f5(c32,c36),c37),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_19) ).
fof(f334,plain,
( ! [X0,X1] :
( ~ p4(X0,c37)
| ~ p4(X1,X0)
| ~ p4(X1,c35) )
| spl2_8 ),
inference(resolution,[],[f329,f27]) ).
fof(f27,axiom,
! [X4,X24,X25] :
( p4(X24,X25)
| ~ p4(X4,X24)
| ~ p4(X4,X25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_27) ).
fof(f329,plain,
( ! [X0] :
( ~ p4(X0,c35)
| ~ p4(X0,c37) )
| spl2_8 ),
inference(resolution,[],[f271,f27]) ).
fof(f271,plain,
( ~ p4(c35,c37)
| spl2_8 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f324,plain,
spl2_10,
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f321,plain,
( $false
| spl2_10 ),
inference(resolution,[],[f318,f6]) ).
fof(f6,axiom,
! [X5] : p3(X5,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).
fof(f318,plain,
( ~ p3(c36,c36)
| spl2_10 ),
inference(resolution,[],[f312,f17]) ).
fof(f17,axiom,
p3(c36,f7(c33,c34)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).
fof(f312,plain,
( ! [X0] :
( ~ p3(X0,f7(c33,c34))
| ~ p3(X0,c36) )
| spl2_10 ),
inference(resolution,[],[f293,f28]) ).
fof(f28,axiom,
! [X26,X27,X5] :
( p3(X26,X27)
| ~ p3(X5,X26)
| ~ p3(X5,X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_28) ).
fof(f293,plain,
( ~ p3(f7(c33,c34),c36)
| spl2_10 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f296,plain,
spl2_9,
inference(avatar_contradiction_clause,[],[f295]) ).
fof(f295,plain,
( $false
| spl2_9 ),
inference(resolution,[],[f289,f1]) ).
fof(f1,axiom,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_1) ).
fof(f289,plain,
( ~ p11(c39,c39)
| spl2_9 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f287,plain,
( spl2_9
<=> p11(c39,c39) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f294,plain,
( ~ spl2_9
| ~ spl2_10
| spl2_7 ),
inference(avatar_split_clause,[],[f274,f265,f291,f287]) ).
fof(f265,plain,
( spl2_7
<=> p8(f12(c39,f7(c33,c34)),f12(c39,c36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f274,plain,
( ~ p3(f7(c33,c34),c36)
| ~ p11(c39,c39)
| spl2_7 ),
inference(resolution,[],[f267,f51]) ).
fof(f51,axiom,
! [X98,X99,X96,X97] :
( p8(f12(X96,X97),f12(X98,X99))
| ~ p3(X97,X99)
| ~ p11(X96,X98) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_51) ).
fof(f267,plain,
( ~ p8(f12(c39,f7(c33,c34)),f12(c39,c36))
| spl2_7 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f272,plain,
( ~ spl2_7
| ~ spl2_8
| spl2_6 ),
inference(avatar_split_clause,[],[f262,f239,f269,f265]) ).
fof(f239,plain,
( spl2_6
<=> p9(f10(f12(c39,f7(c33,c34)),c35),f10(f12(c39,c36),c37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f262,plain,
( ~ p4(c35,c37)
| ~ p8(f12(c39,f7(c33,c34)),f12(c39,c36))
| spl2_6 ),
inference(resolution,[],[f241,f41]) ).
fof(f41,axiom,
! [X58,X59,X56,X57] :
( p9(f10(X56,X57),f10(X58,X59))
| ~ p4(X57,X59)
| ~ p8(X56,X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_41) ).
fof(f241,plain,
( ~ p9(f10(f12(c39,f7(c33,c34)),c35),f10(f12(c39,c36),c37))
| spl2_6 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f252,plain,
spl2_5,
inference(avatar_contradiction_clause,[],[f249]) ).
fof(f249,plain,
( $false
| spl2_5 ),
inference(resolution,[],[f237,f5]) ).
fof(f5,axiom,
! [X4] : p4(X4,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
fof(f237,plain,
( ~ p4(c41,c41)
| spl2_5 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl2_5
<=> p4(c41,c41) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f242,plain,
( ~ spl2_5
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f175,f239,f235]) ).
fof(f175,plain,
( ~ p9(f10(f12(c39,f7(c33,c34)),c35),f10(f12(c39,c36),c37))
| ~ p4(c41,c41) ),
inference(resolution,[],[f157,f21]) ).
fof(f21,axiom,
p30(f10(f12(c39,c36),c37),c41),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_21) ).
fof(f157,plain,
! [X0,X1] :
( ~ p9(f10(f12(c39,f7(c33,c34)),c35),X0)
| ~ p30(X0,X1)
| ~ p4(X1,c41) ),
inference(resolution,[],[f69,f2]) ).
fof(f2,axiom,
! [X1] : p9(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ p9(X0,f10(f12(c39,f7(c33,c34)),c35))
| ~ p30(X1,X2)
| ~ p9(X0,X1)
| ~ p4(X2,c41) ),
inference(resolution,[],[f65,f61]) ).
fof(f61,plain,
! [X50,X51,X49] :
( sP1(X51,X49)
| ~ p4(X50,X49)
| ~ p30(X51,X50) ),
inference(cnf_transformation,[],[f61_D]) ).
fof(f61_D,plain,
! [X49,X51] :
( ! [X50] :
( ~ p4(X50,X49)
| ~ p30(X51,X50) )
<=> ~ sP1(X51,X49) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f65,plain,
! [X0,X1] :
( ~ sP1(X0,c41)
| ~ p9(X1,X0)
| ~ p9(X1,f10(f12(c39,f7(c33,c34)),c35)) ),
inference(resolution,[],[f63,f24]) ).
fof(f24,axiom,
! [X18,X1,X19] :
( p9(X18,X19)
| ~ p9(X1,X18)
| ~ p9(X1,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_24) ).
fof(f63,plain,
! [X0] :
( ~ p9(X0,f10(f12(c39,f7(c33,c34)),c35))
| ~ sP1(X0,c41) ),
inference(resolution,[],[f62,f22]) ).
fof(f22,axiom,
~ p30(f10(f12(c39,f7(c33,c34)),c35),c41),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p30_22) ).
fof(f62,plain,
! [X51,X48,X49] :
( p30(X48,X49)
| ~ p9(X51,X48)
| ~ sP1(X51,X49) ),
inference(general_splitting,[],[f39,f61_D]) ).
fof(f39,axiom,
! [X50,X51,X48,X49] :
( ~ p9(X51,X48)
| ~ p30(X51,X50)
| ~ p4(X50,X49)
| p30(X48,X49) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_39) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN686-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 17:46:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (3945)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (3950)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (3952)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)
% 0.13/0.37 % (3949)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (3948)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)
% 0.13/0.37 % (3951)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (3946)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (3947)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1]
% 0.13/0.38 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.13/0.38 Detected maximum model sizes of [max,2,max,1,max,1,max,max,1,max,max,1,1]
% 0.13/0.38 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.13/0.38 Detected maximum model sizes of [max,2,max,1,max,1,max,max,1,max,max,1,1]
% 0.13/0.38 TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.13/0.38 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.13/0.38 TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.13/0.38 TRYING [3,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [3]
% 0.13/0.39 % (3948)First to succeed.
% 0.13/0.39 % (3948)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3945"
% 0.13/0.39 % (3948)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (3948)------------------------------
% 0.13/0.39 % (3948)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (3948)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (3948)Memory used [KB]: 1146
% 0.13/0.39 % (3948)Time elapsed: 0.022 s
% 0.13/0.39 % (3948)Instructions burned: 36 (million)
% 0.13/0.39 % (3945)Success in time 0.029 s
%------------------------------------------------------------------------------