%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ013-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:31:12 PM UTC 2026
% Result : Unsatisfiable 3.32s 1.35s
% Output : Refutation 3.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 38 ( 13 unt; 6 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 71 ( 34 ~; 31 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 14 ( 13 usr; 14 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,
( ~ some_english_sing
| ~ some_english_sing_not
| some_monitors_are_awake ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).
fof(f6,axiom,
( ~ some_scotch_dance_not
| ~ some_irish_fight_not
| some_germans_play ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6) ).
fof(f9,axiom,
( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not
| ~ some_germans_play ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9) ).
fof(f10,axiom,
( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).
fof(f13,axiom,
( some_monitors_are_not_awake
| some_monitors_are_awake ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c13) ).
fof(f18,axiom,
some_english_sing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c18) ).
fof(f19,axiom,
some_scotch_dance_not,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c19) ).
fof(f20,negated_conjecture,
~ some_monitors_are_awake,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_some_monitors_are_awake) ).
fof(f26,definition,
( spl0_2
<=> some_germans_play ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f30,plain,
( ~ some_irish_fight_not
| some_germans_play ),
inference(forward_subsumption_resolution,[],[f6,f19]) ).
fof(f31,plain,
( ~ some_english_sing
| some_english_sing_not
| ~ some_germans_play ),
inference(forward_subsumption_resolution,[],[f9,f19]) ).
fof(f33,definition,
( spl0_3
<=> some_english_sing ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f37,definition,
( spl0_4
<=> some_english_sing_not ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f41,plain,
spl0_3,
inference(avatar_split_clause,[],[f18,f33]) ).
fof(f52,definition,
( spl0_7
<=> some_irish_fight_not ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f73,definition,
( spl0_11
<=> some_monitors_are_not_awake ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f76,plain,
( spl0_7
| ~ spl0_11
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f10,f33,f73,f52]) ).
fof(f78,definition,
( spl0_12
<=> some_monitors_are_awake ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f81,plain,
( spl0_12
| ~ spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1,f33,f37,f78]) ).
fof(f85,plain,
( spl0_12
| spl0_11 ),
inference(avatar_split_clause,[],[f13,f73,f78]) ).
fof(f86,plain,
~ spl0_12,
inference(avatar_split_clause,[],[f20,f78]) ).
fof(f87,plain,
( spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f30,f52,f26]) ).
fof(f88,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f31,f33,f37,f26]) ).
cnf(s3,plain,
spl0_3,
inference(sat_conversion,[],[f41]) ).
cnf(s10,plain,
( ~ spl0_3
| spl0_7
| ~ spl0_11 ),
inference(sat_conversion,[],[f76]) ).
cnf(s11,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f81]) ).
cnf(s15,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f85]) ).
cnf(s16,plain,
~ spl0_12,
inference(sat_conversion,[],[f86]) ).
cnf(s17,plain,
( spl0_2
| ~ spl0_7 ),
inference(sat_conversion,[],[f87]) ).
cnf(s18,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f88]) ).
cnf(s19,plain,
spl0_11,
inference(rat,[],[s15,s16]) ).
cnf(s20,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(rat,[],[s11,s16]) ).
cnf(s21,plain,
( ~ spl0_3
| spl0_7 ),
inference(rat,[],[s10,s19]) ).
cnf(s22,plain,
~ spl0_4,
inference(rat,[],[s20,s3]) ).
cnf(s23,plain,
spl0_7,
inference(rat,[],[s21,s3]) ).
cnf(s24,plain,
~ spl0_2,
inference(rat,[],[s18,s3,s22]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s17,s23,s24]) ).
fof(f89,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ013-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n003.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % 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 22:31:12 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.32/1.35 % (982937)Input is clausal, will run a generic CNF schedule.
% 3.32/1.35 % (982991)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1763010846:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.32/1.35 % (982993)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=299436086:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.32/1.35 % (982993)Refutation not found, incomplete strategy
% 3.32/1.35 % (982993)------------------------------
% 3.32/1.35 % (982993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.35 % (982993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.35 % (982993)CaDiCaL version: 2.1.3
% 3.32/1.35 % (982993)Termination reason: Refutation not found, incomplete strategy
% 3.32/1.35 % (982993)Time elapsed: 0.001 s
% 3.32/1.35 % (982993)Peak memory usage: 86 MB
% 3.32/1.35 % (982992)lrs+10_1_sil=8000:sp=occurrence:random_seed=778518934:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.32/1.35 % (982990)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3343648456:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.32/1.35 % (982989)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=3400103950:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.32/1.35 % (982992)First to succeed.
% 3.32/1.35 % (982992)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-982937"
% 3.32/1.35 % (982995)dis-21_1_sil=8000:lcm=predicate:random_seed=1891211775: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)
% 3.32/1.35 % (982994)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3771689610:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.32/1.35 % (982995)Also succeeded, but the first one will report.
% 3.32/1.35 % (982994)Also succeeded, but the first one will report.
% 3.32/1.35 [W927 22:31:13.290871846 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.32/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.32/1.35 [W927 22:31:13.290911374 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.32/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.32/1.35 [W927 22:31:13.290930294 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.32/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.32/1.35 [W927 22:31:13.290937797 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.32/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.32/1.35 [W927 22:31:13.290951290 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.32/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.32/1.35 [W927 22:31:13.290956836 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.32/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.32/1.35 [W927 22:31:13.290969682 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.32/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.32/1.35 [W927 22:31:13.290976339 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.32/1.35 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.32/1.35 % (982993)------------------------------
% 3.32/1.35 % (982993)------------------------------
% 3.32/1.35 % (982992)Refutation found. Thanks to Tanya!
% 3.32/1.35 % SZS status Unsatisfiable for theBenchmark
% 3.32/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.32/1.35 % (982992)------------------------------
% 3.32/1.35 % (982992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.35 % (982992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.35 % (982992)CaDiCaL version: 2.1.3
% 3.32/1.35 % (982992)Termination reason: Refutation
% 3.32/1.35 % (982992)Time elapsed: 0.002 s
% 3.32/1.35 % (982992)Peak memory usage: 88 MB
% 3.32/1.35 % (982992)Instructions burned: 1 (million)
% 3.32/1.35 % (982992)------------------------------
% 3.32/1.35 % (982992)------------------------------
% 3.32/1.35 % (982937)Success in time 0.403 s
% 3.32/1.35 % Vampire exiting
%------------------------------------------------------------------------------