%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO365^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 08:49:47 AM UTC 2026
% Result : Theorem 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 87 ( 20 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 46 ( 17 ~; 4 |; 1 &; 15 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 5 con; 0-4 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cA: $o ).
thf(func_def_1,type,
cC: $o > $o ).
thf(func_def_2,type,
cEXT2: $o ).
thf(func_def_3,type,
cEXT_eq_0: $o ).
thf(func_def_5,type,
vIMP: $o > $o > $o ).
thf(func_def_6,type,
vNOT: $o > $o ).
thf(func_def_7,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_8,type,
vIFF: $o > $o > $o ).
thf(func_def_9,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_12,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,axiom,
( ( cEXT2
= ( cC @ cA ) )
=> ( cC
@ ~ ~ cA ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cEXT2_def) ).
thf(f3,conjecture,
( cEXT_eq_0
=> cEXT2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cEXT2A) ).
thf(f4,negated_conjecture,
~ ( cEXT_eq_0
=> cEXT2 ),
inference(negated_conjecture,[status(cth)],[f3]) ).
thf(f5,plain,
( ( cEXT2
= ( cC @ cA ) )
=> ( cC
@ ~ ~ cA ) ),
inference(rectify,[],[f1]) ).
thf(f6,plain,
( cEXT2
= ( ( cC @ cA )
=> ( cC
@ ~ ~ cA ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f9,plain,
~ ( cEXT_eq_0
=> cEXT2 ),
inference(rectify,[],[f4]) ).
thf(f10,plain,
~ ( ( cEXT_eq_0 = $true )
=> ( cEXT2 = $true ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
( ( cEXT2 != $true )
& ( cEXT_eq_0 = $true ) ),
inference(ennf_transformation,[],[f10]) ).
thf(f12,plain,
( cEXT2
= ( ( cC @ cA )
=> ( cC
@ ~ ~ cA ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f15,plain,
cEXT2 != $true,
inference(cnf_transformation,[],[f11]) ).
thf(f37,plain,
( ( cEXT2 = $true )
| ( ( ( cC @ cA )
=> ( cC
@ ~ ~ cA ) )
= $false ) ),
inference(iff_proxy_clausification,[],[f12]) ).
thf(f41,plain,
( ( cEXT2 = $true )
| ( ( cC
@ ~ ~ cA )
= $false ) ),
inference(imp_proxy_clausification,[],[f37]) ).
thf(f42,plain,
( ( cEXT2 = $true )
| ( ( cC @ cA )
= $true ) ),
inference(imp_proxy_clausification,[],[f37]) ).
thf(f43,plain,
( ( cEXT2 = $true )
| ( ( cC @ cA )
= $false ) ),
inference(boolean_simplification,[],[f41]) ).
thf(f44,plain,
( ( cC @ cA )
= $true ),
inference(global_subsumption,[],[f42,f15]) ).
thf(f45,plain,
( ( cC @ cA )
= $false ),
inference(global_subsumption,[],[f43,f15]) ).
thf(f119,plain,
$true = $false,
inference(constrained_superposition,[],[f44,f45]) ).
thf(f122,plain,
$false,
inference(trivial_inequality_removal,[],[f119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO365^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n019.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 16:49:18 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.20/0.28 % (1047875)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (1047882)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1606200804:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (1047881)% WARNING: option uhcvi not known.
% 0.20/0.28 % (1047882) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1047875-1047882"...
% 0.20/0.28 % (1047882)...printing done.
% 0.20/0.28 % (1047882)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Theorem for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (1047882)------------------------------
% 0.20/0.28 % (1047882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (1047882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (1047882)CaDiCaL version: 2.1.3
% 0.20/0.28 % (1047882)Termination reason: Refutation
% 0.20/0.28 % (1047882)Time elapsed: 0.002 s
% 0.20/0.28 % (1047882)Peak memory usage: 12 MB
% 0.20/0.28 % (1047882)Instructions burned: 4 (million)
% 0.20/0.28 % (1047875)Success in time 0.038 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------