%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO178^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:46:48 AM UTC 2026
% Result : Theorem 0.23s 0.29s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 87 ( 11 unt; 0 typ; 9 def)
% Number of atoms : 715 ( 100 equ)
% Maximal formula atoms : 58 ( 8 avg)
% Number of connectives : 673 ( 245 ~; 334 |; 85 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 200 ( 200 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 sgn 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(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(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,[status(cth)],[f1]) ).
tff(f3,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(f4,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(flattening,[],[f3]) ).
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(ennf_transformation,[],[f4]) ).
tff(f6,plain,
( ( cE != $true )
| ( cK = $true )
| ( cG != $true )
| ( cN = $true )
| ( cM != $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f7,plain,
( ( cR != $true )
| ( cK = $true )
| ( cM = $true )
| ( cG = $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f8,plain,
( ( cK = $true )
| ( cN != $true )
| ( cM != $true )
| ( cF = $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f9,plain,
( ( cG != $true )
| ( cB != $true )
| ( cR = $true )
| ( cC != $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f10,plain,
( ( cN != $true )
| ( cP = $true )
| ( cF = $true )
| ( cC = $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f11,plain,
( ( cG != $true )
| ( cK = $true )
| ( cM = $true )
| ( cB != $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f12,plain,
( ( cK != $true )
| ( cL != $true )
| ( cE != $true )
| ( cM != $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f13,plain,
( ( cR != $true )
| ( cN = $true )
| ( cF = $true )
| ( cP = $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f14,plain,
( ( cR != $true )
| ( cE != $true )
| ( cC != $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f15,plain,
( ( cG = $true )
| ( cR = $true )
| ( cK = $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f16,plain,
( ( cL != $true )
| ( cM != $true )
| ( cC = $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f17,plain,
( ( cK != $true )
| ( cB != $true )
| ( cC = $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f18,plain,
( ( cG = $true )
| ( cP = $true )
| ( cR = $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f19,plain,
( ( cG != $true )
| ( cR = $true )
| ( cM = $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f20,plain,
( ( cL != $true )
| ( cP != $true )
| ( cM = $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f21,plain,
( ( cF != $true )
| ( cB = $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f22,plain,
cL = $true,
inference(cnf_transformation,[],[f5]) ).
tff(f23,plain,
cE = $true,
inference(cnf_transformation,[],[f5]) ).
tff(f26,plain,
( ( $true != $true )
| ( cP != $true )
| ( cM = $true ) ),
inference(definition_unfolding,[],[f20,f22]) ).
tff(f27,plain,
( ( $true != $true )
| ( cM != $true )
| ( cC = $true ) ),
inference(definition_unfolding,[],[f16,f22]) ).
tff(f28,plain,
( ( cR != $true )
| ( $true != $true )
| ( cC != $true ) ),
inference(definition_unfolding,[],[f14,f23]) ).
tff(f29,plain,
( ( cK != $true )
| ( $true != $true )
| ( $true != $true )
| ( cM != $true ) ),
inference(definition_unfolding,[],[f12,f22,f23]) ).
tff(f30,plain,
( ( $true != $true )
| ( cK = $true )
| ( cG != $true )
| ( cN = $true )
| ( cM != $true ) ),
inference(definition_unfolding,[],[f6,f23]) ).
tff(f31,plain,
( ( cK = $true )
| ( cG != $true )
| ( cN = $true )
| ( cM != $true ) ),
inference(trivial_inequality_removal,[],[f30]) ).
tff(f32,plain,
( ( cK != $true )
| ( $true != $true )
| ( cM != $true ) ),
inference(duplicate_literal_removal,[],[f29]) ).
tff(f33,plain,
( ( cK != $true )
| ( cM != $true ) ),
inference(trivial_inequality_removal,[],[f32]) ).
tff(f34,plain,
( ( cR != $true )
| ( cC != $true ) ),
inference(trivial_inequality_removal,[],[f28]) ).
tff(f35,plain,
( ( cM != $true )
| ( cC = $true ) ),
inference(trivial_inequality_removal,[],[f27]) ).
tff(f36,plain,
( ( cP != $true )
| ( cM = $true ) ),
inference(trivial_inequality_removal,[],[f26]) ).
tff(f38,definition,
( spl0_1
<=> ( cB = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f42,definition,
( spl0_2
<=> ( cF = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f45,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f21,f42,f38]) ).
tff(f47,definition,
( spl0_3
<=> ( cM = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f51,definition,
( spl0_4
<=> ( cK = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f54,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f33,f51,f47]) ).
tff(f56,definition,
( spl0_5
<=> ( cC = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
tff(f60,definition,
( spl0_6
<=> ( cR = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
tff(f63,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f34,f60,f56]) ).
tff(f64,plain,
( spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f35,f47,f56]) ).
tff(f66,definition,
( spl0_7
<=> ( cP = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
tff(f69,plain,
( spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f36,f66,f47]) ).
tff(f71,definition,
( spl0_8
<=> ( cG = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
tff(f74,plain,
( spl0_4
| spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f15,f71,f60,f51]) ).
tff(f75,plain,
( spl0_5
| ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f17,f51,f38,f56]) ).
tff(f76,plain,
( spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f18,f71,f66,f60]) ).
tff(f77,plain,
( spl0_3
| spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f19,f71,f60,f47]) ).
tff(f78,plain,
( spl0_8
| spl0_3
| spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f7,f60,f51,f47,f71]) ).
tff(f80,definition,
( spl0_9
<=> ( cN = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
tff(f83,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f8,f51,f80,f47,f42]) ).
tff(f84,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_1
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f9,f71,f38,f60,f56]) ).
tff(f85,plain,
( spl0_5
| spl0_2
| spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f10,f80,f66,f42,f56]) ).
tff(f86,plain,
( ~ spl0_1
| spl0_3
| spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f11,f71,f51,f47,f38]) ).
tff(f87,plain,
( spl0_7
| spl0_2
| spl0_9
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f13,f60,f80,f42,f66]) ).
tff(f88,plain,
( ~ spl0_3
| spl0_9
| ~ spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f31,f51,f71,f80,f47]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f45]) ).
cnf(s2,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f54]) ).
cnf(s3,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f63]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f64]) ).
cnf(s5,plain,
( spl0_3
| ~ spl0_7 ),
inference(sat_conversion,[],[f69]) ).
cnf(s6,plain,
( spl0_4
| spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f74]) ).
cnf(s7,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f75]) ).
cnf(s8,plain,
( spl0_6
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f76]) ).
cnf(s9,plain,
( spl0_3
| spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f77]) ).
cnf(s10,plain,
( spl0_3
| spl0_4
| ~ spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f78]) ).
cnf(s11,plain,
( spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_9 ),
inference(sat_conversion,[],[f83]) ).
cnf(s12,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f84]) ).
cnf(s13,plain,
( spl0_2
| spl0_5
| spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f85]) ).
cnf(s14,plain,
( ~ spl0_1
| spl0_3
| spl0_4
| ~ spl0_8 ),
inference(sat_conversion,[],[f86]) ).
cnf(s15,plain,
( spl0_2
| ~ spl0_6
| spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f87]) ).
cnf(s16,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f88]) ).
cnf(s18,plain,
( ~ spl0_6
| spl0_7
| spl0_2 ),
inference(rat,[],[s13,s3,s15]) ).
cnf(s19,plain,
( spl0_3
| spl0_2 ),
inference(rat,[],[s8,s9,s18,s5]) ).
cnf(s20,plain,
spl0_2,
inference(rat,[],[s16,s6,s11,s3,s2,s4,s19]) ).
cnf(s21,plain,
spl0_1,
inference(rat,[],[s1,s20]) ).
cnf(s22,plain,
( spl0_6
| spl0_3 ),
inference(rat,[],[s8,s9,s5]) ).
cnf(s23,plain,
spl0_3,
inference(rat,[],[s10,s14,s7,s3,s22,s21]) ).
cnf(s24,plain,
spl0_5,
inference(rat,[],[s4,s23]) ).
cnf(s25,plain,
~ spl0_4,
inference(rat,[],[s2,s23]) ).
cnf(s26,plain,
~ spl0_6,
inference(rat,[],[s3,s24]) ).
cnf(s27,plain,
spl0_8,
inference(rat,[],[s6,s26,s25]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s12,s24,s21,s27,s26]) ).
tff(f89,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO178^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 16:39:26 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.29 % (311695)Detected formulas, will run a generic FOF schedule.
% 0.23/0.29 % (311705)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=525695716:i=132:kws=arity:er=filter_2999 on theBenchmark for (2999ds/132Mi)
% 0.23/0.29 % (311705) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-311695-311705"...
% 0.23/0.29 % (311705)...printing done.
% 0.23/0.29 % (311705)Refutation found. Thanks to Tanya!
% 0.23/0.29 % SZS status Theorem for theBenchmark
% 0.23/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.29 % (311705)------------------------------
% 0.23/0.29 % (311705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.29 % (311705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.29 % (311705)CaDiCaL version: 2.1.3
% 0.23/0.29 % (311705)Termination reason: Refutation
% 0.23/0.29 % (311705)Time elapsed: 0.002 s
% 0.23/0.29 % (311705)Peak memory usage: 12 MB
% 0.23/0.29 % (311705)Instructions burned: 4 (million)
% 0.23/0.29 % (311695)Success in time 0.032 s
% 0.23/0.29 % Vampire exiting
%------------------------------------------------------------------------------