%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO344^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 08:49:45 AM UTC 2026
% Result : Theorem 0.26s 0.33s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 73 ( 17 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 44 ( 17 ~; 10 |; 2 &; 15 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 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_1,type,
cQ: $i > $o ).
thf(func_def_6,type,
vNOT: $o > $o ).
thf(f1,conjecture,
( ( cQ @ cD )
| ~ ( cQ @ cC )
| ( cC != cD ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM618) ).
thf(f2,negated_conjecture,
~ ( ( cQ @ cD )
| ~ ( cQ @ cC )
| ( cC != cD ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( cQ @ cD )
| ~ ( cQ @ cC )
| ( cC != cD ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( ( cQ @ cD )
= $true )
| ( ( cQ @ cC )
!= $true )
| ( cC != cD ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
~ ( ( ( cQ @ cD )
= $true )
| ( ( cQ @ cC )
!= $true )
| ( cC != cD ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
( ( ( cQ @ cD )
!= $true )
& ( ( cQ @ cC )
= $true )
& ( cC = cD ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f7,plain,
cC = cD,
inference(cnf_transformation,[],[f6]) ).
thf(f8,plain,
( ( cQ @ cC )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f9,plain,
( ( cQ @ cD )
!= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f12,plain,
( ( cQ @ cD )
= $true ),
inference(definition_unfolding,[],[f8,f7]) ).
thf(f13,plain,
$true != $true,
inference(constrained_superposition,[],[f9,f12]) ).
thf(f14,plain,
$false,
inference(trivial_inequality_removal,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYO344^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.25 % Computer : n002.cluster.edu
% 0.14/0.25 % Model : x86_64 x86_64
% 0.14/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.25 % Memory : 8046.5625MB
% 0.14/0.25 % OS : Linux 6.8.0-71-generic
% 0.14/0.25 % CPULimit : 300
% 0.14/0.25 % WCLimit : 300
% 0.14/0.25 % DateTime : Tue Sep 29 16:50:07 UTC 2026
% 0.14/0.25 % CPUTime :
% 0.14/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.29 Running first-order model finding
% 0.26/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.26/0.33 % (1540806)Will run a generic schedule for satisfiability detection.
% 0.26/0.33 % (1540818)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3661022595:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.26/0.33 % (1540812)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1781904028_3000 on theBenchmark for (3000ds/0Mi)
% 0.26/0.33 % (1540818) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1540806-1540818"...
% 0.26/0.33 % Exception at run slice level
% 0.26/0.33 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.26/0.33 % (1540818)...printing done.
% 0.26/0.33 % (1540818)Refutation found. Thanks to Tanya!
% 0.26/0.33 % SZS status Theorem for theBenchmark
% 0.26/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.33 % (1540818)------------------------------
% 0.26/0.33 % (1540818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.33 % (1540818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.33 % (1540818)CaDiCaL version: 2.1.3
% 0.26/0.33 % (1540818)Termination reason: Refutation
% 0.26/0.33 % (1540818)Time elapsed: 0.001 s
% 0.26/0.33 % (1540818)Peak memory usage: 12 MB
% 0.26/0.33 % (1540806)Success in time 0.025 s
% 0.26/0.33 % Vampire exiting
%------------------------------------------------------------------------------