TSTP Solution File: SYO178^5 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO178^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.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 May 21 09:10:30 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 21
% Syntax : Number of formulae : 71 ( 3 unt; 11 typ; 0 def)
% Number of atoms : 882 ( 216 equ)
% Maximal formula atoms : 58 ( 14 avg)
% Number of connectives : 612 ( 222 ~; 296 |; 85 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 432 ( 432 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 23 ( 20 usr; 22 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
cM: $o ).
tff(func_def_1,type,
cN: $o ).
tff(func_def_2,type,
cG: $o ).
tff(func_def_3,type,
cK: $o ).
tff(func_def_4,type,
cE: $o ).
tff(func_def_5,type,
cR: $o ).
tff(func_def_6,type,
cF: $o ).
tff(func_def_7,type,
cC: $o ).
tff(func_def_8,type,
cB: $o ).
tff(func_def_9,type,
cP: $o ).
tff(func_def_10,type,
cL: $o ).
tff(f89,plain,
$false,
inference(avatar_sat_refutation,[],[f53,f58,f63,f72,f77,f78,f79,f80,f81,f82,f83,f84,f85,f86,f87,f88]) ).
tff(f88,plain,
( ~ spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f10,f65,f60]) ).
tff(f60,plain,
( spl0_6
<=> ( cF = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
tff(f65,plain,
( spl0_7
<=> ( cB = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
tff(f10,plain,
( ( cB = $true )
| ( cF != $true ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f7,plain,
( ( ( cM != $true )
| ( cN = $true )
| ( cG != $true )
| ( cK = $true )
| ( cE != $true ) )
& ( ( cG = $true )
| ( cM = $true )
| ( cK = $true )
| ( cR != $true ) )
& ( ( cF = $true )
| ( cM != $true )
| ( cN != $true )
| ( cK = $true ) )
& ( ( cC != $true )
| ( cR = $true )
| ( cB != $true )
| ( cG != $true ) )
& ( ( cC = $true )
| ( cF = $true )
| ( cP = $true )
| ( cN != $true ) )
& ( ( cB != $true )
| ( cM = $true )
| ( cK = $true )
| ( cG != $true ) )
& ( ( cM != $true )
| ( cE != $true )
| ( cL != $true )
| ( cK != $true ) )
& ( ( cP = $true )
| ( cF = $true )
| ( cN = $true )
| ( cR != $true ) )
& ( ( cC != $true )
| ( cE != $true )
| ( cR != $true ) )
& ( ( cK = $true )
| ( cR = $true )
| ( cG = $true ) )
& ( ( cC = $true )
| ( cM != $true )
| ( cL != $true ) )
& ( ( cC = $true )
| ( cB != $true )
| ( cK != $true ) )
& ( ( cR = $true )
| ( cP = $true )
| ( cG = $true ) )
& ( ( cM = $true )
| ( cR = $true )
| ( cG != $true ) )
& ( ( cM = $true )
| ( cP != $true )
| ( cL != $true ) )
& ( ( cB = $true )
| ( cF != $true ) )
& ( cE = $true )
& ( cL = $true ) ),
inference(flattening,[],[f6]) ).
tff(f6,plain,
~ ~ ( ( ( cM != $true )
| ( cN = $true )
| ( cG != $true )
| ( cK = $true )
| ( cE != $true ) )
& ( ( cG = $true )
| ( cM = $true )
| ( cK = $true )
| ( cR != $true ) )
& ( ( cF = $true )
| ( cM != $true )
| ( cN != $true )
| ( cK = $true ) )
& ( ( cC != $true )
| ( cR = $true )
| ( cB != $true )
| ( cG != $true ) )
& ( ( cC = $true )
| ( cF = $true )
| ( cP = $true )
| ( cN != $true ) )
& ( ( cB != $true )
| ( cM = $true )
| ( cK = $true )
| ( cG != $true ) )
& ( ( cM != $true )
| ( cE != $true )
| ( cL != $true )
| ( cK != $true ) )
& ( ( cP = $true )
| ( cF = $true )
| ( cN = $true )
| ( cR != $true ) )
& ( ( cC != $true )
| ( cE != $true )
| ( cR != $true ) )
& ( ( cK = $true )
| ( cR = $true )
| ( cG = $true ) )
& ( ( cC = $true )
| ( cM != $true )
| ( cL != $true ) )
& ( ( cC = $true )
| ( cB != $true )
| ( cK != $true ) )
& ( ( cR = $true )
| ( cP = $true )
| ( cG = $true ) )
& ( ( cM = $true )
| ( cR = $true )
| ( cG != $true ) )
& ( ( cM = $true )
| ( cP != $true )
| ( cL != $true ) )
& ( ( cB = $true )
| ( cF != $true ) )
& ( cE = $true )
& ( cL = $true ) ),
inference(fool_elimination,[],[f5]) ).
tff(f5,plain,
~ ~ ( ( ~ cM
| cN
| ~ cG
| cK
| ~ cE )
& ( cG
| cM
| cK
| ~ cR )
& ( cF
| ~ cM
| ~ cN
| cK )
& ( ~ cC
| cR
| ~ cB
| ~ cG )
& ( cC
| cF
| cP
| ~ cN )
& ( ~ cB
| cM
| cK
| ~ cG )
& ( ~ cM
| ~ cE
| ~ cL
| ~ cK )
& ( cP
| cF
| cN
| ~ cR )
& ( ~ cC
| ~ cE
| ~ cR )
& ( cK
| cR
| cG )
& ( cC
| ~ cM
| ~ cL )
& ( cC
| ~ cB
| ~ cK )
& ( cR
| cP
| cG )
& ( cM
| cR
| ~ cG )
& ( cM
| ~ cP
| ~ cL )
& ( cB
| ~ cF )
& cE
& cL ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ~ ( ( ~ cM
| cN
| ~ cG
| cK
| ~ cE )
& ( cG
| cM
| cK
| ~ cR )
& ( cF
| ~ cM
| ~ cN
| cK )
& ( ~ cC
| cR
| ~ cB
| ~ cG )
& ( cC
| cF
| cP
| ~ cN )
& ( ~ cB
| cM
| cK
| ~ cG )
& ( ~ cM
| ~ cE
| ~ cL
| ~ cK )
& ( cP
| cF
| cN
| ~ cR )
& ( ~ cC
| ~ cE
| ~ cR )
& ( cK
| cR
| cG )
& ( cC
| ~ cM
| ~ cL )
& ( cC
| ~ cB
| ~ cK )
& ( cR
| cP
| cG )
& ( cM
| cR
| ~ cG )
& ( cM
| ~ cP
| ~ cL )
& ( cB
| ~ cF )
& cE
& cL ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
~ ( ( ~ cM
| cN
| ~ cG
| cK
| ~ cE )
& ( cG
| cM
| cK
| ~ cR )
& ( cF
| ~ cM
| ~ cN
| cK )
& ( ~ cC
| cR
| ~ cB
| ~ cG )
& ( cC
| cF
| cP
| ~ cN )
& ( ~ cB
| cM
| cK
| ~ cG )
& ( ~ cM
| ~ cE
| ~ cL
| ~ cK )
& ( cP
| cF
| cN
| ~ cR )
& ( ~ cC
| ~ cE
| ~ cR )
& ( cK
| cR
| cG )
& ( cC
| ~ cM
| ~ cL )
& ( cC
| ~ cB
| ~ cK )
& ( cR
| cP
| cG )
& ( cM
| cR
| ~ cG )
& ( cM
| ~ cP
| ~ cL )
& ( cB
| ~ cF )
& cE
& cL ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPORKCHOP1C) ).
tff(f87,plain,
( ~ spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f31,f50,f74]) ).
tff(f74,plain,
( spl0_9
<=> ( cP = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
tff(f50,plain,
( spl0_4
<=> ( cM = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f31,plain,
( ( cM = $true )
| ( cP != $true ) ),
inference(trivial_inequality_removal,[],[f30]) ).
tff(f30,plain,
( ( cM = $true )
| ( cP != $true )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f11,f8]) ).
tff(f8,plain,
cL = $true,
inference(cnf_transformation,[],[f7]) ).
tff(f11,plain,
( ( cM = $true )
| ( cP != $true )
| ( cL != $true ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f86,plain,
( ~ spl0_2
| spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f50,f55,f42]) ).
tff(f42,plain,
( spl0_2
<=> ( cG = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f55,plain,
( spl0_5
<=> ( cR = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
tff(f12,plain,
( ( cM = $true )
| ( cR = $true )
| ( cG != $true ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f85,plain,
( spl0_2
| spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f13,f55,f74,f42]) ).
tff(f13,plain,
( ( cR = $true )
| ( cP = $true )
| ( cG = $true ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f84,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f14,f69,f65,f38]) ).
tff(f38,plain,
( spl0_1
<=> ( cK = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f69,plain,
( spl0_8
<=> ( cC = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
tff(f14,plain,
( ( cC = $true )
| ( cB != $true )
| ( cK != $true ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f83,plain,
( ~ spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f32,f69,f50]) ).
tff(f32,plain,
( ( cC = $true )
| ( cM != $true ) ),
inference(trivial_inequality_removal,[],[f29]) ).
tff(f29,plain,
( ( cC = $true )
| ( cM != $true )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f15,f8]) ).
tff(f15,plain,
( ( cC = $true )
| ( cM != $true )
| ( cL != $true ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f82,plain,
( spl0_2
| spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f16,f38,f55,f42]) ).
tff(f16,plain,
( ( cK = $true )
| ( cR = $true )
| ( cG = $true ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f81,plain,
( ~ spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f33,f69,f55]) ).
tff(f33,plain,
( ( cC != $true )
| ( cR != $true ) ),
inference(trivial_inequality_removal,[],[f28]) ).
tff(f28,plain,
( ( cC != $true )
| ( $true != $true )
| ( cR != $true ) ),
inference(definition_unfolding,[],[f17,f9]) ).
tff(f9,plain,
cE = $true,
inference(cnf_transformation,[],[f7]) ).
tff(f17,plain,
( ( cC != $true )
| ( cE != $true )
| ( cR != $true ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f80,plain,
( ~ spl0_5
| spl0_3
| spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f18,f74,f60,f46,f55]) ).
tff(f46,plain,
( spl0_3
<=> ( cN = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f18,plain,
( ( cP = $true )
| ( cF = $true )
| ( cN = $true )
| ( cR != $true ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f79,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f35,f50,f38]) ).
tff(f35,plain,
( ( cM != $true )
| ( cK != $true ) ),
inference(trivial_inequality_removal,[],[f34]) ).
tff(f34,plain,
( ( cM != $true )
| ( $true != $true )
| ( cK != $true ) ),
inference(duplicate_literal_removal,[],[f27]) ).
tff(f27,plain,
( ( cM != $true )
| ( $true != $true )
| ( $true != $true )
| ( cK != $true ) ),
inference(definition_unfolding,[],[f19,f9,f8]) ).
tff(f19,plain,
( ( cM != $true )
| ( cE != $true )
| ( cL != $true )
| ( cK != $true ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f78,plain,
( ~ spl0_2
| spl0_1
| spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f20,f65,f50,f38,f42]) ).
tff(f20,plain,
( ( cB != $true )
| ( cM = $true )
| ( cK = $true )
| ( cG != $true ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f77,plain,
( ~ spl0_3
| spl0_9
| spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f21,f69,f60,f74,f46]) ).
tff(f21,plain,
( ( cC = $true )
| ( cF = $true )
| ( cP = $true )
| ( cN != $true ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f72,plain,
( ~ spl0_2
| ~ spl0_7
| spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f22,f69,f55,f65,f42]) ).
tff(f22,plain,
( ( cC != $true )
| ( cR = $true )
| ( cB != $true )
| ( cG != $true ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f63,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f23,f60,f50,f46,f38]) ).
tff(f23,plain,
( ( cF = $true )
| ( cM != $true )
| ( cN != $true )
| ( cK = $true ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f58,plain,
( ~ spl0_5
| spl0_1
| spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f42,f50,f38,f55]) ).
tff(f24,plain,
( ( cG = $true )
| ( cM = $true )
| ( cK = $true )
| ( cR != $true ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f53,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f36,f50,f46,f42,f38]) ).
tff(f36,plain,
( ( cM != $true )
| ( cN = $true )
| ( cG != $true )
| ( cK = $true ) ),
inference(trivial_inequality_removal,[],[f26]) ).
tff(f26,plain,
( ( cM != $true )
| ( cN = $true )
| ( cG != $true )
| ( cK = $true )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f25,f9]) ).
tff(f25,plain,
( ( cM != $true )
| ( cN = $true )
| ( cG != $true )
| ( cK = $true )
| ( cE != $true ) ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO178^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 08:46:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (20717)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (20721)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36 Detected minimum model sizes of [1]
% 0.13/0.36 Detected maximum model sizes of [11]
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [5]
% 0.13/0.37 TRYING [6]
% 0.13/0.37 TRYING [7]
% 0.13/0.37 % (20718)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (20720)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 % (20719)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (20722)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 TRYING [8]
% 0.13/0.37 % (20723)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (20724)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 TRYING [9]
% 0.13/0.37 TRYING [10]
% 0.13/0.37 % (20723)First to succeed.
% 0.13/0.37 Detected minimum model sizes of [1]
% 0.13/0.37 Detected maximum model sizes of [11]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 Detected minimum model sizes of [1]
% 0.13/0.37 Detected maximum model sizes of [11]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [11]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 Detected minimum model sizes of [1]
% 0.13/0.37 Detected maximum model sizes of [11]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 % (20723)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20717"
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (20721)Also succeeded, but the first one will report.
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 % (20723)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (20723)------------------------------
% 0.13/0.37 % (20723)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (20723)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (20723)Memory used [KB]: 742
% 0.13/0.37 % (20723)Time elapsed: 0.004 s
% 0.13/0.37 % (20723)Instructions burned: 5 (million)
% 0.13/0.37 % (20717)Success in time 0.021 s
%------------------------------------------------------------------------------