TSTP Solution File: SYN717-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN717-1 : 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 : n017.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 18:04:52 EDT 2024
% Result : Unsatisfiable 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 18
% Syntax : Number of formulae : 51 ( 12 unt; 0 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 137 ( 73 ~; 55 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 7 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f352,plain,
$false,
inference(avatar_sat_refutation,[],[f301,f320,f324,f336,f338,f349,f351]) ).
fof(f351,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f350]) ).
fof(f350,plain,
( $false
| ~ spl5_1 ),
inference(resolution,[],[f141,f136]) ).
fof(f136,plain,
~ sP1(c78),
inference(resolution,[],[f117,f44]) ).
fof(f44,axiom,
p59(f29(c73,f31(f33(c74,c77),c78)),c72),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p59_44) ).
fof(f117,plain,
! [X206,X207] :
( ~ p59(f29(c73,f31(f33(c74,X207),X206)),c72)
| ~ sP1(X206) ),
inference(general_splitting,[],[f115,f116_D]) ).
fof(f116,plain,
! [X205,X206] :
( ~ p60(f25(c75,X205),f21(c76,X206))
| ~ sP0(X205)
| sP1(X206) ),
inference(cnf_transformation,[],[f116_D]) ).
fof(f116_D,plain,
! [X206] :
( ! [X205] :
( ~ p60(f25(c75,X205),f21(c76,X206))
| ~ sP0(X205) )
<=> ~ sP1(X206) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f115,plain,
! [X205,X206,X207] :
( ~ p60(f25(c75,X205),f21(c76,X206))
| ~ p59(f29(c73,f31(f33(c74,X207),X206)),c72)
| ~ sP0(X205) ),
inference(general_splitting,[],[f107,f114_D]) ).
fof(f114,plain,
! [X205,X208] :
( ~ p59(f29(c73,f31(f33(c74,X205),X208)),c72)
| sP0(X205) ),
inference(cnf_transformation,[],[f114_D]) ).
fof(f114_D,plain,
! [X205] :
( ! [X208] : ~ p59(f29(c73,f31(f33(c74,X205),X208)),c72)
<=> ~ sP0(X205) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f107,axiom,
! [X205,X208,X206,X207] :
( ~ p60(f25(c75,X205),f21(c76,X206))
| ~ p59(f29(c73,f31(f33(c74,X205),X208)),c72)
| ~ p59(f29(c73,f31(f33(c74,X207),X206)),c72) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p60_107) ).
fof(f141,plain,
( sP1(c78)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl5_1
<=> sP1(c78) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f349,plain,
~ spl5_7,
inference(avatar_contradiction_clause,[],[f348]) ).
fof(f348,plain,
( $false
| ~ spl5_7 ),
inference(resolution,[],[f342,f132]) ).
fof(f132,plain,
sP0(c77),
inference(resolution,[],[f114,f44]) ).
fof(f342,plain,
( ~ sP0(c77)
| ~ spl5_7 ),
inference(resolution,[],[f335,f36]) ).
fof(f36,axiom,
p23(c79,c77),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_36) ).
fof(f335,plain,
( ! [X0] :
( ~ p23(c79,X0)
| ~ sP0(X0) )
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f334,plain,
( spl5_7
<=> ! [X0] :
( ~ sP0(X0)
| ~ p23(c79,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f338,plain,
spl5_6,
inference(avatar_contradiction_clause,[],[f337]) ).
fof(f337,plain,
( $false
| spl5_6 ),
inference(resolution,[],[f332,f28]) ).
fof(f28,axiom,
! [X27] : p22(X27,X27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_28) ).
fof(f332,plain,
( ~ p22(c75,c75)
| spl5_6 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f330,plain,
( spl5_6
<=> p22(c75,c75) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f336,plain,
( ~ spl5_6
| spl5_7
| ~ spl5_5 ),
inference(avatar_split_clause,[],[f326,f318,f334,f330]) ).
fof(f318,plain,
( spl5_5
<=> ! [X0] :
( ~ p24(f25(c75,c79),f25(c75,X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f326,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ p23(c79,X0)
| ~ p22(c75,c75) )
| ~ spl5_5 ),
inference(resolution,[],[f319,f94]) ).
fof(f94,axiom,
! [X155,X153,X156,X154] :
( p24(f25(X153,X154),f25(X155,X156))
| ~ p23(X154,X156)
| ~ p22(X153,X155) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_94) ).
fof(f319,plain,
( ! [X0] :
( ~ p24(f25(c75,c79),f25(c75,X0))
| ~ sP0(X0) )
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f324,plain,
~ spl5_3,
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f321,plain,
( $false
| ~ spl5_3 ),
inference(resolution,[],[f296,f29]) ).
fof(f29,axiom,
! [X28] : p20(X28,X28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_29) ).
fof(f296,plain,
( ! [X0] : ~ p20(X0,f21(c76,c78))
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f295,plain,
( spl5_3
<=> ! [X0] : ~ p20(X0,f21(c76,c78)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f320,plain,
( spl5_1
| spl5_5
| spl5_4 ),
inference(avatar_split_clause,[],[f314,f298,f318,f139]) ).
fof(f298,plain,
( spl5_4
<=> sP2(f25(c75,c79),f21(c76,c78)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f314,plain,
( ! [X0] :
( ~ p24(f25(c75,c79),f25(c75,X0))
| ~ sP0(X0)
| sP1(c78) )
| spl5_4 ),
inference(resolution,[],[f303,f116]) ).
fof(f303,plain,
( ! [X0] :
( p60(X0,f21(c76,c78))
| ~ p24(f25(c75,c79),X0) )
| spl5_4 ),
inference(resolution,[],[f300,f118]) ).
fof(f118,plain,
! [X113,X114,X115] :
( sP2(X115,X114)
| p60(X113,X114)
| ~ p24(X115,X113) ),
inference(cnf_transformation,[],[f118_D]) ).
fof(f118_D,plain,
! [X114,X115] :
( ! [X113] :
( p60(X113,X114)
| ~ p24(X115,X113) )
<=> ~ sP2(X115,X114) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f300,plain,
( ~ sP2(f25(c75,c79),f21(c76,c78))
| spl5_4 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f301,plain,
( spl5_3
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f292,f298,f295]) ).
fof(f292,plain,
! [X0] :
( ~ sP2(f25(c75,c79),f21(c76,c78))
| ~ p20(X0,f21(c76,c78)) ),
inference(factoring,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( ~ sP2(f25(c75,c79),X0)
| ~ p20(X1,f21(c76,c78))
| ~ p20(X1,X0) ),
inference(resolution,[],[f127,f42]) ).
fof(f42,axiom,
p60(f25(c75,c79),f21(c76,c78)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p60_42) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( ~ p60(X0,X1)
| ~ sP2(X0,X2)
| ~ p20(X3,X1)
| ~ p20(X3,X2) ),
inference(resolution,[],[f119,f74]) ).
fof(f74,axiom,
! [X28,X91,X92] :
( p20(X91,X92)
| ~ p20(X28,X91)
| ~ p20(X28,X92) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_74) ).
fof(f119,plain,
! [X116,X114,X115] :
( ~ p60(X115,X116)
| ~ p20(X116,X114)
| ~ sP2(X115,X114) ),
inference(general_splitting,[],[f84,f118_D]) ).
fof(f84,axiom,
! [X113,X116,X114,X115] :
( ~ p60(X115,X116)
| ~ p24(X115,X113)
| ~ p20(X116,X114)
| p60(X113,X114) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p60_84) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SYN717-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 01:28:03 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (9843)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (9845)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (9846)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)
% 0.14/0.38 % (9844)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (9849)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (9848)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (9850)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)
% 0.14/0.38 % (9847)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 % (9846)First to succeed.
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39 Detected maximum model sizes of [max,max,1,1,max,1,1,1,1,1,1,2,max,max,2,1,1,1,1,max,1,1]
% 0.14/0.39 Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39 Detected maximum model sizes of [max,max,1,1,max,1,1,1,1,1,1,2,max,max,2,1,1,1,1,max,1,1]
% 0.14/0.39 % (9848)Also succeeded, but the first one will report.
% 0.14/0.39 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.39 % (9846)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (9846)------------------------------
% 0.14/0.39 % (9846)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (9846)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (9846)Memory used [KB]: 1087
% 0.14/0.39 % (9846)Time elapsed: 0.012 s
% 0.14/0.39 % (9846)Instructions burned: 18 (million)
% 0.14/0.39 % (9846)------------------------------
% 0.14/0.39 % (9846)------------------------------
% 0.14/0.39 % (9843)Success in time 0.03 s
%------------------------------------------------------------------------------