%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ033-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:31:18 PM UTC 2026
% Result : Unsatisfiable 2.64s 1.35s
% Output : Refutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 23
% Syntax : Number of formulae : 62 ( 17 unt; 11 def)
% Number of atoms : 132 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 130 ( 60 ~; 59 |; 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/sandbox/benchmark/theBenchmark.p',c1) ).
fof(f2,axiom,
( ~ cold
| ~ foggy
| neighbor_practices_flute ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2) ).
fof(f3,axiom,
( ~ fire_smokes
| door_is_open ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).
fof(f4,axiom,
( ~ cold
| ~ i_feel_rheumatic
| fire_is_lit ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c4) ).
fof(f5,axiom,
( ~ wind_in_east
| ~ wind_in_gusts
| fire_smokes ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5) ).
fof(f7,axiom,
( ~ sunshine
| cold
| ~ foggy
| window_is_shut ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c7) ).
fof(f8,axiom,
( wind_in_gusts
| ~ fire_is_lit
| door_is_open
| ~ i_feel_rheumatic ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c8) ).
fof(f9,axiom,
( ~ sunshine
| foggy ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9) ).
fof(f10,axiom,
( ~ neighbor_practices_flute
| ~ door_is_open ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
fof(f11,axiom,
( ~ foggy
| ~ wind_in_east
| i_feel_rheumatic ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).
fof(f12,axiom,
wind_in_east,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c12) ).
fof(f13,negated_conjecture,
~ window_is_shut,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_window_is_shut) ).
fof(f15,definition,
( spl0_1
<=> door_is_open ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f19,definition,
( spl0_2
<=> neighbor_practices_flute ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f22,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f10,f19,f15]) ).
fof(f24,definition,
( spl0_3
<=> fire_smokes ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f27,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f3,f24,f15]) ).
fof(f29,definition,
( spl0_4
<=> fire_is_lit ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f33,definition,
( spl0_5
<=> i_feel_rheumatic ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f37,definition,
( spl0_6
<=> cold ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f40,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f4,f37,f33,f29]) ).
fof(f42,definition,
( spl0_7
<=> wind_in_gusts ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f45,plain,
( ~ spl0_5
| spl0_1
| ~ spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f8,f42,f29,f15,f33]) ).
fof(f47,definition,
( spl0_8
<=> foggy ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f50,plain,
( spl0_2
| ~ spl0_8
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f2,f37,f47,f19]) ).
fof(f52,definition,
( spl0_9
<=> sunshine ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f55,plain,
( spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f9,f52,f47]) ).
fof(f57,definition,
( spl0_10
<=> window_is_shut ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f60,plain,
( spl0_10
| ~ spl0_8
| spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f7,f52,f37,f47,f57]) ).
fof(f62,definition,
( spl0_11
<=> wind_in_east ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f65,plain,
( spl0_9
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1,f62,f52]) ).
fof(f66,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f5,f62,f42,f24]) ).
fof(f67,plain,
( spl0_5
| ~ spl0_11
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f11,f47,f62,f33]) ).
fof(f68,plain,
~ spl0_10,
inference(avatar_split_clause,[],[f13,f57]) ).
fof(f69,plain,
spl0_11,
inference(avatar_split_clause,[],[f12,f62]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f22]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f27]) ).
cnf(s3,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f40]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f45]) ).
cnf(s5,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f50]) ).
cnf(s6,plain,
( spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f55]) ).
cnf(s7,plain,
( spl0_6
| ~ spl0_8
| ~ spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f60]) ).
cnf(s8,plain,
( spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f65]) ).
cnf(s9,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_11 ),
inference(sat_conversion,[],[f66]) ).
cnf(s10,plain,
( spl0_5
| ~ spl0_8
| ~ spl0_11 ),
inference(sat_conversion,[],[f67]) ).
cnf(s11,plain,
~ spl0_10,
inference(sat_conversion,[],[f68]) ).
cnf(s12,plain,
spl0_11,
inference(sat_conversion,[],[f69]) ).
cnf(s13,plain,
( spl0_5
| ~ spl0_8 ),
inference(rat,[],[s10,s12]) ).
cnf(s14,plain,
( spl0_3
| ~ spl0_7 ),
inference(rat,[],[s9,s12]) ).
cnf(s15,plain,
spl0_9,
inference(rat,[],[s8,s12]) ).
cnf(s16,plain,
( spl0_6
| ~ spl0_8 ),
inference(rat,[],[s7,s11,s15]) ).
cnf(s17,plain,
spl0_8,
inference(rat,[],[s6,s15]) ).
cnf(s18,plain,
spl0_5,
inference(rat,[],[s13,s17]) ).
cnf(s19,plain,
spl0_6,
inference(rat,[],[s16,s17]) ).
cnf(s20,plain,
spl0_2,
inference(rat,[],[s5,s17,s19]) ).
cnf(s21,plain,
( spl0_1
| ~ spl0_4
| spl0_7 ),
inference(rat,[],[s4,s18]) ).
cnf(s22,plain,
spl0_4,
inference(rat,[],[s3,s19,s18]) ).
cnf(s23,plain,
~ spl0_1,
inference(rat,[],[s1,s20]) ).
cnf(s24,plain,
spl0_7,
inference(rat,[],[s21,s22,s23]) ).
cnf(s25,plain,
~ spl0_3,
inference(rat,[],[s2,s23]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s14,s24,s25]) ).
fof(f70,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----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/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 22:28:06 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.64/1.35 % (2998358)Input is clausal, will run a generic CNF schedule.
% 2.64/1.35 % (2998366)lrs+10_1_sil=8000:sp=occurrence:random_seed=2025424611:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.64/1.35 % (2998366)First to succeed.
% 2.64/1.35 % (2998366)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2998358"
% 2.64/1.35 % (2998364)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1313209846:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.64/1.35 % (2998365)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1434225757:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.64/1.35 % (2998367)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3922685302:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.64/1.35 % (2998369)dis-21_1_sil=8000:lcm=predicate:random_seed=3073430112:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.64/1.35 % (2998363)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2949034792:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.64/1.35 % (2998368)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2751987482:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.64/1.35 % (2998367)Also succeeded, but the first one will report.
% 2.64/1.35 % (2998369)Also succeeded, but the first one will report.
% 2.64/1.35 % (2998368)Also succeeded, but the first one will report.
% 2.64/1.35 % (2998366)Refutation found. Thanks to Tanya!
% 2.64/1.35 % SZS status Unsatisfiable for theBenchmark
% 2.64/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 2.64/1.35 % (2998366)------------------------------
% 2.64/1.35 % (2998366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.35 % (2998366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.35 % (2998366)CaDiCaL version: 2.1.3
% 2.64/1.35 % (2998366)Termination reason: Refutation
% 2.64/1.35 % (2998366)Time elapsed: 0.001 s
% 2.64/1.35 % (2998366)Peak memory usage: 88 MB
% 2.64/1.35 % (2998366)Instructions burned: 1 (million)
% 2.64/1.35 % (2998366)------------------------------
% 2.64/1.35 % (2998366)------------------------------
% 2.64/1.35 % (2998358)Success in time 0.289 s
% 2.64/1.35 % Vampire exiting
%------------------------------------------------------------------------------