%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ009-1 : 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 : n013.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 12:31:04 PM UTC 2026
% Result : Unsatisfiable 3.53s 1.46s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 9 unt; 5 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 20 ~; 22 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 11 ( 10 usr; 11 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,
( ~ a_is_a_knight
| ~ b_is_a_knight ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).
fof(f5,axiom,
( ~ b_is_a_knight
| c_is_a_knight
| d_is_a_knight ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5) ).
fof(f10,axiom,
( ~ e_is_a_knight
| ~ d_is_a_knight
| c_is_a_knight ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).
fof(f16,axiom,
( a_is_a_knight
| e_is_a_knight ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c16) ).
fof(f17,axiom,
( a_is_a_knight
| ~ c_is_a_knight ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c17) ).
fof(f18,negated_conjecture,
b_is_a_knight,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c18) ).
fof(f20,definition,
( spl0_1
<=> c_is_a_knight ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f23,definition,
( spl0_2
<=> a_is_a_knight ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f25,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f17,f23,f20]) ).
fof(f27,definition,
( spl0_3
<=> e_is_a_knight ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f29,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f23,f27]) ).
fof(f35,definition,
( spl0_4
<=> b_is_a_knight ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f38,definition,
( spl0_5
<=> d_is_a_knight ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f45,plain,
( spl0_1
| ~ spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f10,f27,f38,f20]) ).
fof(f51,plain,
( spl0_5
| spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f5,f35,f20,f38]) ).
fof(f55,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1,f23,f35]) ).
fof(f56,plain,
spl0_4,
inference(avatar_split_clause,[],[f18,f35]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f25]) ).
cnf(s2,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f29]) ).
cnf(s8,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f45]) ).
cnf(s13,plain,
( spl0_1
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f51]) ).
cnf(s17,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f55]) ).
cnf(s18,plain,
spl0_4,
inference(sat_conversion,[],[f56]) ).
cnf(s19,plain,
~ spl0_2,
inference(rat,[],[s17,s18]) ).
cnf(s20,plain,
( spl0_1
| spl0_5 ),
inference(rat,[],[s13,s18]) ).
cnf(s23,plain,
spl0_3,
inference(rat,[],[s2,s19]) ).
cnf(s24,plain,
~ spl0_1,
inference(rat,[],[s1,s19]) ).
cnf(s25,plain,
spl0_5,
inference(rat,[],[s20,s24]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s8,s23,s25,s24]) ).
fof(f57,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 % Computer : n013.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sun Sep 27 22:28:37 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 3.53/1.46 % (612074)Input is clausal, will run a generic CNF schedule.
% 3.53/1.46 % (612081)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1461474188:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.53/1.46 % (612079)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=595495869:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.53/1.46 % (612080)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3021948963:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.53/1.46 % (612085)dis-21_1_sil=8000:lcm=predicate:random_seed=1429986344: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)
% 3.53/1.46 % (612082)lrs+10_1_sil=8000:sp=occurrence:random_seed=87745896:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.53/1.46 % (612083)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3729180989:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.53/1.46 % (612083)Refutation not found, incomplete strategy
% 3.53/1.46 % (612083)------------------------------
% 3.53/1.46 % (612083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.46 % (612084)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1552553820:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.53/1.46 % (612082)Refutation not found, incomplete strategy
% 3.53/1.46 % (612082)------------------------------
% 3.53/1.46 % (612082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.46 % (612083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.46 % (612082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.46 % (612083)CaDiCaL version: 2.1.3
% 3.53/1.46 % (612082)CaDiCaL version: 2.1.3
% 3.53/1.46 % (612083)Termination reason: Refutation not found, incomplete strategy
% 3.53/1.46 % (612083)Time elapsed: 0.001 s
% 3.53/1.46 % (612082)Termination reason: Refutation not found, incomplete strategy
% 3.53/1.46 % (612082)Time elapsed: 0.001 s
% 3.53/1.46 % (612083)Peak memory usage: 87 MB
% 3.53/1.46 % (612082)Peak memory usage: 87 MB
% 3.53/1.46 % (612085)First to succeed.
% 3.53/1.46 % (612085)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-612074"
% 3.53/1.46 % (612084)Also succeeded, but the first one will report.
% 3.53/1.46 [W927 22:28:38.031615866 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.
% 3.53/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.53/1.46 [W927 22:28:38.031637708 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.
% 3.53/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.53/1.46 [W927 22:28:38.031657725 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.
% 3.53/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.53/1.46 [W927 22:28:38.031664406 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.
% 3.53/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.53/1.46 [W927 22:28:38.031677178 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.
% 3.53/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.53/1.46 [W927 22:28:38.031683488 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.
% 3.53/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.53/1.46 [W927 22:28:38.031696017 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.
% 3.53/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.53/1.46 [W927 22:28:38.031718467 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.
% 3.53/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.53/1.46 % (612082)------------------------------
% 3.53/1.46 % (612082)------------------------------
% 3.53/1.46 % (612083)------------------------------
% 3.53/1.46 % (612083)------------------------------
% 3.53/1.46 % (612085)Refutation found. Thanks to Tanya!
% 3.53/1.46 % SZS status Unsatisfiable for theBenchmark
% 3.53/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/1.46 % (612085)------------------------------
% 3.53/1.46 % (612085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.46 % (612085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.46 % (612085)CaDiCaL version: 2.1.3
% 3.53/1.46 % (612085)Termination reason: Refutation
% 3.53/1.46 % (612085)Time elapsed: 0.002 s
% 3.53/1.46 % (612085)Peak memory usage: 88 MB
% 3.53/1.46 % (612085)Instructions burned: 1 (million)
% 3.53/1.46 % (612085)------------------------------
% 3.53/1.46 % (612085)------------------------------
% 3.53/1.46 % (612074)Success in time 0.417 s
% 3.53/1.46 % Vampire exiting
%------------------------------------------------------------------------------