%------------------------------------------------------------------------------
% File : Vampire---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 THM
% 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 08:20:52 AM UTC 2026
% Result : Theorem 0.19s 0.26s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 2
% Syntax : Number of formulae : 24 ( 11 unt; 0 typ; 1 def)
% Number of atoms : 520 ( 140 equ)
% Maximal formula atoms : 31 ( 21 avg)
% Number of connectives : 305 ( 89 ~; 41 |; 109 &)
% ( 1 <=>; 65 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 280 ( 280 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 14 usr; 16 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,
~ ( ( ( ( ( cEAST = $true )
& ( cFOGGY = $true ) )
=> ( cRHEUMATIC = $true ) )
& ( ( cFLUTE = $true )
=> ( cOPEN_DOOR != $true ) )
& ( ( cSUNSHINE = $true )
=> ( cFOGGY = $true ) )
& ( ( ( cOPEN_DOOR != $true )
& ( cFIRE = $true )
& ( cGUSTY != $true ) )
=> ( cRHEUMATIC != $true ) )
& ( ( cFOGGY = $true )
=> ( cOPEN_WINDOW != $true ) )
& ( ( cOPEN_DOOR = $true )
=> ( cHEADACHE != $true ) )
& ( ( ( cGUSTY = $true )
& ( cEAST = $true ) )
=> ( cSMOKES = $true ) )
& ( ( ( cRHEUMATIC = $true )
& ( cCOLD = $true ) )
=> ( cFIRE = $true ) )
& ( ( ( cSMOKE = $true )
& ( cFIRE = $true ) )
=> ( cOPEN_DOOR = $true ) )
& ( ( ( cFOGGY = $true )
& ( cCOLD = $true ) )
=> ( cFLUTE = $true ) )
& ( ( cEAST = $true )
=> ( cSUNSHINE = $true ) ) )
=> ( ( cEAST = $true )
=> ( cOPEN_WINDOW != $true ) ) ),
inference(fool_elimination,[],[f3]) ).
tff(f5,plain,
~ ( ( ( ( ( cEAST = $true )
& ( cFOGGY = $true ) )
=> ( cRHEUMATIC = $true ) )
& ( ( cFLUTE = $true )
=> ( cOPEN_DOOR != $true ) )
& ( ( cSUNSHINE = $true )
=> ( cFOGGY = $true ) )
& ( ( ( cOPEN_DOOR != $true )
& ( cFIRE = $true )
& ( cGUSTY != $true ) )
=> ( cRHEUMATIC != $true ) )
& ( ( cFOGGY = $true )
=> ( cOPEN_WINDOW != $true ) )
& ( ( cOPEN_DOOR = $true )
=> ( cHEADACHE != $true ) )
& ( ( ( cGUSTY = $true )
& ( cEAST = $true ) )
=> ( cSMOKES = $true ) )
& ( ( ( cRHEUMATIC = $true )
& ( cCOLD = $true ) )
=> ( cFIRE = $true ) )
& ( ( ( cSMOKE = $true )
& ( cFIRE = $true ) )
=> ( cOPEN_DOOR = $true ) )
& ( ( ( cFOGGY = $true )
& ( cCOLD = $true ) )
=> ( cFLUTE = $true ) )
& ( ( cEAST = $true )
=> ( cSUNSHINE = $true ) ) )
=> ( ( cEAST = $true )
=> ( cOPEN_WINDOW != $true ) ) ),
inference(flattening,[],[f4]) ).
tff(f6,plain,
( ( cOPEN_WINDOW = $true )
& ( cEAST = $true )
& ( ( cRHEUMATIC = $true )
| ( cEAST != $true )
| ( cFOGGY != $true ) )
& ( ( cOPEN_DOOR != $true )
| ( cFLUTE != $true ) )
& ( ( cFOGGY = $true )
| ( cSUNSHINE != $true ) )
& ( ( cRHEUMATIC != $true )
| ( cOPEN_DOOR = $true )
| ( cFIRE != $true )
| ( cGUSTY = $true ) )
& ( ( cOPEN_WINDOW != $true )
| ( cFOGGY != $true ) )
& ( ( cHEADACHE != $true )
| ( cOPEN_DOOR != $true ) )
& ( ( cSMOKES = $true )
| ( cGUSTY != $true )
| ( cEAST != $true ) )
& ( ( cFIRE = $true )
| ( cRHEUMATIC != $true )
| ( cCOLD != $true ) )
& ( ( cOPEN_DOOR = $true )
| ( cSMOKE != $true )
| ( cFIRE != $true ) )
& ( ( cFLUTE = $true )
| ( cFOGGY != $true )
| ( cCOLD != $true ) )
& ( ( cSUNSHINE = $true )
| ( cEAST != $true ) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f7,plain,
( ( cOPEN_WINDOW = $true )
& ( cEAST = $true )
& ( ( cRHEUMATIC = $true )
| ( cEAST != $true )
| ( cFOGGY != $true ) )
& ( ( cOPEN_DOOR != $true )
| ( cFLUTE != $true ) )
& ( ( cFOGGY = $true )
| ( cSUNSHINE != $true ) )
& ( ( cRHEUMATIC != $true )
| ( cOPEN_DOOR = $true )
| ( cFIRE != $true )
| ( cGUSTY = $true ) )
& ( ( cOPEN_WINDOW != $true )
| ( cFOGGY != $true ) )
& ( ( cHEADACHE != $true )
| ( cOPEN_DOOR != $true ) )
& ( ( cSMOKES = $true )
| ( cGUSTY != $true )
| ( cEAST != $true ) )
& ( ( cFIRE = $true )
| ( cRHEUMATIC != $true )
| ( cCOLD != $true ) )
& ( ( cOPEN_DOOR = $true )
| ( cSMOKE != $true )
| ( cFIRE != $true ) )
& ( ( cFLUTE = $true )
| ( cFOGGY != $true )
| ( cCOLD != $true ) )
& ( ( cSUNSHINE = $true )
| ( cEAST != $true ) ) ),
inference(flattening,[],[f6]) ).
tff(f8,plain,
( ( cSUNSHINE = $true )
| ( cEAST != $true ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f14,plain,
( ( cOPEN_WINDOW != $true )
| ( cFOGGY != $true ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f16,plain,
( ( cFOGGY = $true )
| ( cSUNSHINE != $true ) ),
inference(cnf_transformation,[],[f7]) ).
tff(f19,plain,
cEAST = $true,
inference(cnf_transformation,[],[f7]) ).
tff(f20,plain,
cOPEN_WINDOW = $true,
inference(cnf_transformation,[],[f7]) ).
tff(f24,plain,
( ( $true != $true )
| ( cFOGGY != $true ) ),
inference(definition_unfolding,[],[f14,f20]) ).
tff(f26,plain,
( ( cSUNSHINE = $true )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f8,f19]) ).
tff(f27,plain,
cSUNSHINE = $true,
inference(trivial_inequality_removal,[],[f26]) ).
tff(f29,plain,
cFOGGY != $true,
inference(trivial_inequality_removal,[],[f24]) ).
tff(f36,definition,
( spl0_2
<=> ( cFOGGY = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f76,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f29,f36]) ).
tff(f78,plain,
cFOGGY = $true,
inference(forward_subsumption_resolution,[],[f16,f27]) ).
tff(f81,plain,
spl0_2,
inference(avatar_split_clause,[],[f78,f36]) ).
cnf(s6,plain,
~ spl0_2,
inference(sat_conversion,[],[f76]) ).
cnf(s10,plain,
spl0_2,
inference(sat_conversion,[],[f81]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s6,s10]) ).
tff(f82,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----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 THM
% 0.09/0.17 % Computer : n002.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 13:24:52 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running higher-order theorem proving
% 0.09/0.21 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
% 0.19/0.26 % (1265752)Detected formulas, will run a generic FOF schedule.
% 0.19/0.26 % (1265757)lrs+1011_1_sp=occurrence:random_seed=3828871685:st=6:sd=4:ss=included_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.26 % (1265757) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1265752-1265757"...
% 0.19/0.26 % (1265757)...printing done.
% 0.19/0.26 % (1265757)Refutation found. Thanks to Tanya!
% 0.19/0.26 % SZS status Theorem for theBenchmark
% 0.19/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.26 % (1265757)------------------------------
% 0.19/0.26 % (1265757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.26 % (1265757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.26 % (1265757)CaDiCaL version: 2.1.3
% 0.19/0.26 % (1265757)Termination reason: Refutation
% 0.19/0.26 % (1265757)Time elapsed: 0.001 s
% 0.19/0.26 % (1265757)Peak memory usage: 12 MB
% 0.19/0.26 % (1265757)Instructions burned: 2 (million)
% 0.19/0.26 % (1265752)Success in time 0.039 s
% 0.19/0.26 % Vampire exiting
%------------------------------------------------------------------------------