%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ090^5 : 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 : n009.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 08:21:01 AM UTC 2026
% Result : Theorem 0.08s 0.28s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 10 unt; 0 typ; 2 def)
% Number of atoms : 215 ( 16 equ)
% Maximal formula atoms : 31 ( 8 avg)
% Number of connectives : 234 ( 75 ~; 43 |; 75 &)
% ( 2 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 32 ( 32 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 15 usr; 17 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,
cOPEN_WINDOW: $o ).
tff(func_def_1,type,
cEAST: $o ).
tff(func_def_2,type,
cRHEUMATIC: $o ).
tff(func_def_3,type,
cFOGGY: $o ).
tff(func_def_4,type,
cOPEN_DOOR: $o ).
tff(func_def_5,type,
cFLUTE: $o ).
tff(func_def_6,type,
cSUNSHINE: $o ).
tff(func_def_7,type,
cFIRE: $o ).
tff(func_def_8,type,
cGUSTY: $o ).
tff(func_def_9,type,
cHEADACHE: $o ).
tff(func_def_10,type,
cSMOKES: $o ).
tff(func_def_11,type,
cCOLD: $o ).
tff(func_def_12,type,
cSMOKE: $o ).
tff(f1,conjecture,
( ( ( ( cEAST
& cFOGGY )
=> cRHEUMATIC )
& ( cFLUTE
=> ~ cOPEN_DOOR )
& ( cSUNSHINE
=> cFOGGY )
& ( ( ~ cOPEN_DOOR
& cFIRE
& ~ cGUSTY )
=> ~ cRHEUMATIC )
& ( cFOGGY
=> ~ cOPEN_WINDOW )
& ( cOPEN_DOOR
=> ~ cHEADACHE )
& ( ( cGUSTY
& cEAST )
=> cSMOKES )
& ( ( cRHEUMATIC
& cCOLD )
=> cFIRE )
& ( ( cSMOKE
& cFIRE )
=> cOPEN_DOOR )
& ( ( cFOGGY
& cCOLD )
=> cFLUTE )
& ( cEAST
=> cSUNSHINE ) )
=> ( cEAST
=> ~ cOPEN_WINDOW ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM210) ).
tff(f2,negated_conjecture,
~ ( ( ( ( cEAST
& cFOGGY )
=> cRHEUMATIC )
& ( cFLUTE
=> ~ cOPEN_DOOR )
& ( cSUNSHINE
=> cFOGGY )
& ( ( ~ cOPEN_DOOR
& cFIRE
& ~ cGUSTY )
=> ~ cRHEUMATIC )
& ( cFOGGY
=> ~ cOPEN_WINDOW )
& ( cOPEN_DOOR
=> ~ cHEADACHE )
& ( ( cGUSTY
& cEAST )
=> cSMOKES )
& ( ( cRHEUMATIC
& cCOLD )
=> cFIRE )
& ( ( cSMOKE
& cFIRE )
=> cOPEN_DOOR )
& ( ( cFOGGY
& cCOLD )
=> cFLUTE )
& ( cEAST
=> cSUNSHINE ) )
=> ( cEAST
=> ~ cOPEN_WINDOW ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( ( ( cEAST
& cFOGGY )
=> cRHEUMATIC )
& ( cFLUTE
=> ~ cOPEN_DOOR )
& ( cSUNSHINE
=> cFOGGY )
& ( ( ~ cOPEN_DOOR
& cFIRE
& ~ cGUSTY )
=> ~ cRHEUMATIC )
& ( cFOGGY
=> ~ cOPEN_WINDOW )
& ( cOPEN_DOOR
=> ~ cHEADACHE )
& ( ( cGUSTY
& cEAST )
=> cSMOKES )
& ( ( cRHEUMATIC
& cCOLD )
=> cFIRE )
& ( ( cSMOKE
& cFIRE )
=> cOPEN_DOOR )
& ( ( cFOGGY
& cCOLD )
=> cFLUTE )
& ( cEAST
=> cSUNSHINE ) )
=> ( cEAST
=> ~ cOPEN_WINDOW ) ),
inference(rectify,[],[f2]) ).
tff(f4,plain,
( cOPEN_WINDOW
& cEAST
& ( cRHEUMATIC
| ~ cEAST
| ~ cFOGGY )
& ( ~ cOPEN_DOOR
| ~ cFLUTE )
& ( cFOGGY
| ~ cSUNSHINE )
& ( ~ cRHEUMATIC
| cOPEN_DOOR
| ~ cFIRE
| cGUSTY )
& ( ~ cOPEN_WINDOW
| ~ cFOGGY )
& ( ~ cHEADACHE
| ~ cOPEN_DOOR )
& ( cSMOKES
| ~ cGUSTY
| ~ cEAST )
& ( cFIRE
| ~ cRHEUMATIC
| ~ cCOLD )
& ( cOPEN_DOOR
| ~ cSMOKE
| ~ cFIRE )
& ( cFLUTE
| ~ cFOGGY
| ~ cCOLD )
& ( cSUNSHINE
| ~ cEAST ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f5,plain,
( cOPEN_WINDOW
& cEAST
& ( cRHEUMATIC
| ~ cEAST
| ~ cFOGGY )
& ( ~ cOPEN_DOOR
| ~ cFLUTE )
& ( cFOGGY
| ~ cSUNSHINE )
& ( ~ cRHEUMATIC
| cOPEN_DOOR
| ~ cFIRE
| cGUSTY )
& ( ~ cOPEN_WINDOW
| ~ cFOGGY )
& ( ~ cHEADACHE
| ~ cOPEN_DOOR )
& ( cSMOKES
| ~ cGUSTY
| ~ cEAST )
& ( cFIRE
| ~ cRHEUMATIC
| ~ cCOLD )
& ( cOPEN_DOOR
| ~ cSMOKE
| ~ cFIRE )
& ( cFLUTE
| ~ cFOGGY
| ~ cCOLD )
& ( cSUNSHINE
| ~ cEAST ) ),
inference(flattening,[],[f4]) ).
tff(f8,plain,
( ( cSUNSHINE != $true )
| ( cFOGGY = $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f10,plain,
( ( cFOGGY != $true )
| ( cOPEN_WINDOW != $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f16,plain,
( ( cEAST != $true )
| ( cSUNSHINE = $true ) ),
inference(cnf_transformation,[],[f5]) ).
tff(f17,plain,
cEAST = $true,
inference(cnf_transformation,[],[f5]) ).
tff(f18,plain,
cOPEN_WINDOW = $true,
inference(cnf_transformation,[],[f5]) ).
tff(f21,plain,
( ( $true != $true )
| ( cSUNSHINE = $true ) ),
inference(definition_unfolding,[],[f16,f17]) ).
tff(f23,plain,
( ( cFOGGY != $true )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f10,f18]) ).
tff(f26,plain,
cFOGGY != $true,
inference(trivial_inequality_removal,[],[f23]) ).
tff(f28,plain,
cSUNSHINE = $true,
inference(trivial_inequality_removal,[],[f21]) ).
tff(f34,definition,
( spl0_2
<=> ( cFOGGY = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f48,definition,
( spl0_5
<=> ( cSUNSHINE = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
tff(f51,plain,
( spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f8,f48,f34]) ).
tff(f61,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f26,f34]) ).
tff(f83,plain,
spl0_5,
inference(avatar_split_clause,[],[f28,f48]) ).
cnf(s3,plain,
( spl0_2
| ~ spl0_5 ),
inference(sat_conversion,[],[f51]) ).
cnf(s5,plain,
~ spl0_2,
inference(sat_conversion,[],[f61]) ).
cnf(s11,plain,
spl0_5,
inference(sat_conversion,[],[f83]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s3,s11,s5]) ).
tff(f84,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ090^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n009.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 13:22:15 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.08/0.28 % (3969202)Will run a generic schedule for satisfiability detection.
% 0.08/0.28 % (3969214)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2828901043:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.28 % (3969214) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3969202-3969214"...
% 0.08/0.28 % (3969214)...printing done.
% 0.08/0.28 % (3969211)% WARNING: option uhcvi not known.
% 0.08/0.28 % (3969214)Refutation found. Thanks to Tanya!
% 0.08/0.28 % SZS status Theorem for theBenchmark
% 0.08/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.28 % (3969214)------------------------------
% 0.08/0.28 % (3969214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.28 % (3969214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.28 % (3969214)CaDiCaL version: 2.1.3
% 0.08/0.28 % (3969214)Termination reason: Refutation
% 0.08/0.28 % (3969214)Time elapsed: 0.001 s
% 0.08/0.28 % (3969214)Peak memory usage: 12 MB
% 0.08/0.28 % (3969214)Instructions burned: 1 (million)
% 0.08/0.28 % (3969202)Success in time 0.034 s
% 0.08/0.28 % Vampire exiting
%------------------------------------------------------------------------------