%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ033-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 : Tue Sep 29 12:31:59 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.45s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 23
% Syntax : Number of formulae : 74 ( 18 unt; 11 def)
% Number of atoms : 162 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 155 ( 67 ~; 77 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 23 ( 22 usr; 23 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ~ wind_in_east
| sunshine ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).
fof(f2,axiom,
( ~ cold
| ~ foggy
| neighbor_practices_flute ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2) ).
fof(f3,axiom,
( ~ fire_smokes
| door_is_open ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3) ).
fof(f4,axiom,
( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c4) ).
fof(f5,axiom,
( ~ wind_in_east
| ~ wind_in_gusts
| fire_smokes ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5) ).
fof(f7,axiom,
( ~ sunshine
| cold
| ~ foggy
| window_is_shut ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c7) ).
fof(f8,axiom,
( wind_in_gusts
| ~ fire_is_lit
| door_is_open
| ~ i_feel_rheumatic ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c8) ).
fof(f9,axiom,
( ~ sunshine
| foggy ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9) ).
fof(f10,axiom,
( ~ neighbor_practices_flute
| ~ door_is_open ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).
fof(f11,axiom,
( ~ foggy
| ~ wind_in_east
| i_feel_rheumatic ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11) ).
fof(f12,axiom,
wind_in_east,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c12) ).
fof(f13,negated_conjecture,
~ window_is_shut,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_window_is_shut) ).
fof(f14,plain,
( ~ wind_in_east
| ~ sunshine ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f15,plain,
( cold
| foggy
| neighbor_practices_flute ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f16,plain,
( fire_smokes
| door_is_open ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f17,plain,
( cold
| i_feel_rheumatic
| ~ fire_is_lit ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f18,plain,
( ~ wind_in_east
| ~ wind_in_gusts
| ~ fire_smokes ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f19,plain,
( sunshine
| ~ cold
| foggy
| ~ window_is_shut ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f20,plain,
( wind_in_gusts
| fire_is_lit
| door_is_open
| i_feel_rheumatic ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f21,plain,
( sunshine
| ~ foggy ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f22,plain,
( foggy
| ~ wind_in_east
| ~ i_feel_rheumatic ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f23,plain,
window_is_shut,
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f25,definition,
( spl0_1
<=> i_feel_rheumatic ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f29,definition,
( spl0_2
<=> wind_in_east ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f31,plain,
( ~ wind_in_east
| spl0_2 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f33,definition,
( spl0_3
<=> foggy ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f36,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f22,f33,f29,f25]) ).
fof(f38,definition,
( spl0_4
<=> door_is_open ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f42,definition,
( spl0_5
<=> neighbor_practices_flute ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f45,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f10,f42,f38]) ).
fof(f47,definition,
( spl0_6
<=> sunshine ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f50,plain,
( ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f21,f47,f33]) ).
fof(f52,definition,
( spl0_7
<=> fire_is_lit ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f56,definition,
( spl0_8
<=> wind_in_gusts ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f59,plain,
( spl0_1
| spl0_4
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f20,f56,f52,f38,f25]) ).
fof(f61,definition,
( spl0_9
<=> window_is_shut ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f63,plain,
( ~ window_is_shut
| spl0_9 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f65,definition,
( spl0_10
<=> cold ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f68,plain,
( ~ spl0_9
| spl0_3
| ~ spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f19,f47,f65,f33,f61]) ).
fof(f70,definition,
( spl0_11
<=> fire_smokes ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f73,plain,
( ~ spl0_11
| ~ spl0_8
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f18,f29,f56,f70]) ).
fof(f74,plain,
( ~ spl0_7
| spl0_1
| spl0_10 ),
inference(avatar_split_clause,[],[f17,f65,f25,f52]) ).
fof(f75,plain,
( spl0_4
| spl0_11 ),
inference(avatar_split_clause,[],[f16,f70,f38]) ).
fof(f76,plain,
( spl0_5
| spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f15,f65,f33,f42]) ).
fof(f77,plain,
( ~ spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f14,f29,f47]) ).
fof(f78,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f31,f12]) ).
fof(f79,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f78]) ).
fof(f80,plain,
( $false
| spl0_9 ),
inference(resolution,[],[f63,f23]) ).
fof(f81,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f80]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f36]) ).
cnf(s2,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f45]) ).
cnf(s3,plain,
( ~ spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f50]) ).
cnf(s4,plain,
( spl0_1
| spl0_4
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f59]) ).
cnf(s5,plain,
( spl0_3
| spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f68]) ).
cnf(s6,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_11 ),
inference(sat_conversion,[],[f73]) ).
cnf(s7,plain,
( spl0_1
| ~ spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f74]) ).
cnf(s8,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f75]) ).
cnf(s9,plain,
( spl0_3
| spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f76]) ).
cnf(s10,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(sat_conversion,[],[f77]) ).
cnf(s11,plain,
spl0_2,
inference(sat_conversion,[],[f79]) ).
cnf(s12,plain,
spl0_9,
inference(sat_conversion,[],[f81]) ).
cnf(s13,plain,
~ spl0_6,
inference(rat,[],[s10,s11]) ).
cnf(s14,plain,
( ~ spl0_8
| ~ spl0_11 ),
inference(rat,[],[s6,s11]) ).
cnf(s15,plain,
( spl0_3
| ~ spl0_10 ),
inference(rat,[],[s5,s12,s13]) ).
cnf(s16,plain,
~ spl0_3,
inference(rat,[],[s3,s13]) ).
cnf(s17,plain,
~ spl0_10,
inference(rat,[],[s15,s16]) ).
cnf(s18,plain,
spl0_5,
inference(rat,[],[s9,s16,s17]) ).
cnf(s19,plain,
~ spl0_4,
inference(rat,[],[s2,s18]) ).
cnf(s20,plain,
spl0_11,
inference(rat,[],[s8,s19]) ).
cnf(s21,plain,
~ spl0_8,
inference(rat,[],[s14,s20]) ).
cnf(s22,plain,
~ spl0_1,
inference(rat,[],[s1,s16,s11]) ).
cnf(s23,plain,
~ spl0_7,
inference(rat,[],[s7,s17,s22]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s4,s21,s19,s23,s22]) ).
fof(f82,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ033-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 22:38:32 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 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
% 0.14/0.45 % (4033160)Will run a generic schedule for satisfiability detection.
% 0.14/0.45 % (4033171)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=258933575:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.45 % (4033171) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4033160-4033171"...
% 0.14/0.45 % (4033171)...printing done.
% 0.14/0.45 % (4033171)Refutation found. Thanks to Tanya!
% 0.14/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.45 % (4033171)------------------------------
% 0.14/0.45 % (4033171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.45 % (4033171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.45 % (4033171)CaDiCaL version: 2.1.3
% 0.14/0.45 % (4033171)Termination reason: Refutation
% 0.14/0.45 % (4033171)Time elapsed: 0.001 s
% 0.14/0.45 % (4033171)Peak memory usage: 12 MB
% 0.14/0.45 % (4033171)Instructions burned: 1 (million)
% 0.14/0.45 % (4033160)Success in time 0.033 s
% 0.14/0.45 % Vampire exiting
%------------------------------------------------------------------------------