%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO368^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 08:49:48 AM UTC 2026
% Result : Theorem 0.27s 0.28s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 13 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 36 ( 6 ~; 0 |; 8 &; 15 @)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
b: $o ).
thf(func_def_1,type,
cP: $o > $o ).
thf(func_def_2,type,
a: $o ).
thf(func_def_6,type,
vNOT: $o > $o ).
thf(f1,conjecture,
( ( ( cP @ a )
& ( a
<=> b ) )
=> ( cP @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTRIVEXT1) ).
thf(f2,negated_conjecture,
~ ( ( ( cP @ a )
& ( a
<=> b ) )
=> ( cP @ b ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( ( cP @ a )
& ( a
<=> b ) )
=> ( cP @ b ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( ( ( cP @ a )
= $true )
& ( a = b ) )
=> ( ( cP @ b )
= $true ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( ( cP @ b )
!= $true )
& ( ( cP @ a )
= $true )
& ( a = b ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
( ( ( cP @ b )
!= $true )
& ( ( cP @ a )
= $true )
& ( a = b ) ),
inference(flattening,[],[f5]) ).
thf(f7,plain,
a = b,
inference(cnf_transformation,[],[f6]) ).
thf(f8,plain,
( ( cP @ a )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f9,plain,
( ( cP @ b )
!= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f12,plain,
( ( cP @ b )
= $true ),
inference(definition_unfolding,[],[f8,f7]) ).
thf(f13,plain,
$false,
inference(global_subsumption,[],[f9,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO368^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n002.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 16:51:37 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.27/0.28 % (1544141)Will run a generic schedule for satisfiability detection.
% 0.27/0.28 % (1544158)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=727003391_2999 on theBenchmark for (2999ds/0Mi)
% 0.27/0.28 % Exception at run slice level
% 0.27/0.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.27/0.28 % (1544159)% WARNING: option uhcvi not known.
% 0.27/0.28 % (1544159)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4252823075:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.27/0.28 % (1544160)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2417749718:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.27/0.28 % (1544159)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.27/0.28 % (1544161)dis+10_1_sil=32000:sp=arity:random_seed=2523230537:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.27/0.28 % (1544159)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.27/0.28 % (1544163)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1517343085:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.27/0.28 % (1544162)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=909744482:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.27/0.28 % (1544165)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3648395795:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.27/0.28 % (1544160) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1544141-1544160"...
% 0.27/0.28 % (1544159) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1544141-1544159"...
% 0.27/0.28 % (1544162)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.27/0.28 % (1544161) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1544141-1544161"...
% 0.27/0.28 % (1544163) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1544141-1544163"...
% 0.27/0.28 % (1544162) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1544141-1544162"...
% 0.27/0.28 % (1544165) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1544141-1544165"...
% 0.27/0.28 % (1544160)...printing done.
% 0.27/0.28 % (1544159)...printing done.
% 0.27/0.28 % (1544161)...printing done.
% 0.27/0.28 % (1544163)...printing done.
% 0.27/0.28 % (1544162)...printing done.
% 0.27/0.28 % (1544160)Refutation found. Thanks to Tanya!
% 0.27/0.28 % SZS status Theorem for theBenchmark
% 0.27/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.28 % (1544160)------------------------------
% 0.27/0.28 % (1544160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.28 % (1544160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.28 % (1544160)CaDiCaL version: 2.1.3
% 0.27/0.28 % (1544160)Termination reason: Refutation
% 0.27/0.28 % (1544160)Time elapsed: 0.001 s
% 0.27/0.28 % (1544160)Peak memory usage: 11 MB
% 0.27/0.28 % (1544141)Success in time 0.043 s
% 0.27/0.28 % Vampire exiting
%------------------------------------------------------------------------------