%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA001-1 : 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 : n007.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 09:55:18 AM UTC 2026
% Result : Unsatisfiable 3.44s 1.46s
% Output : Refutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 49 ( 7 unt; 5 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 116 ( 50 ~; 61 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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,negated_conjecture,
( a
| b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
( ~ a
| ~ b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
( a
| c
| ~ d ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
( a
| ~ c
| d ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
( ~ a
| c
| d ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
( ~ a
| ~ c
| ~ d ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
( b
| c
| ~ e ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f8,negated_conjecture,
( b
| ~ c
| e ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f9,negated_conjecture,
( ~ b
| c
| e ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f10,negated_conjecture,
( ~ b
| ~ c
| ~ e ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f11,negated_conjecture,
( d
| ~ e ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f12,negated_conjecture,
( ~ d
| e ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
fof(f14,definition,
( spl0_1
<=> e ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f18,definition,
( spl0_2
<=> d ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f21,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f12,f18,f14]) ).
fof(f22,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f11,f18,f14]) ).
fof(f24,definition,
( spl0_3
<=> c ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f28,definition,
( spl0_4
<=> b ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f31,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f10,f28,f24,f14]) ).
fof(f32,plain,
( spl0_1
| spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f9,f28,f24,f14]) ).
fof(f33,plain,
( spl0_1
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f8,f28,f24,f14]) ).
fof(f34,plain,
( ~ spl0_1
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f7,f28,f24,f14]) ).
fof(f36,definition,
( spl0_5
<=> a ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f39,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f6,f36,f24,f18]) ).
fof(f40,plain,
( spl0_2
| spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f5,f36,f24,f18]) ).
fof(f41,plain,
( spl0_2
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f4,f36,f24,f18]) ).
fof(f42,plain,
( ~ spl0_2
| spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f3,f36,f24,f18]) ).
fof(f43,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f2,f36,f28]) ).
fof(f44,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f1,f36,f28]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f21]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f22]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f31]) ).
cnf(s4,plain,
( spl0_1
| spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f32]) ).
cnf(s5,plain,
( spl0_1
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f33]) ).
cnf(s6,plain,
( ~ spl0_1
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f34]) ).
cnf(s7,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f39]) ).
cnf(s8,plain,
( spl0_2
| spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f40]) ).
cnf(s9,plain,
( spl0_2
| ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f41]) ).
cnf(s10,plain,
( ~ spl0_2
| spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f42]) ).
cnf(s11,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f43]) ).
cnf(s12,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f44]) ).
cnf(s13,plain,
( spl0_3
| spl0_1 ),
inference(rat,[],[s12,s4,s8,s1]) ).
cnf(s14,plain,
spl0_1,
inference(rat,[],[s11,s5,s9,s13,s1]) ).
cnf(s15,plain,
spl0_2,
inference(rat,[],[s2,s14]) ).
cnf(s16,plain,
spl0_3,
inference(rat,[],[s11,s6,s10,s14,s15]) ).
cnf(s17,plain,
~ spl0_5,
inference(rat,[],[s7,s15,s16]) ).
cnf(s18,plain,
~ spl0_4,
inference(rat,[],[s3,s14,s16]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s12,s17,s18]) ).
fof(f45,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n007.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 08:43:10 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.44/1.46 % (1112227)Input is clausal, will run a generic CNF schedule.
% 3.44/1.46 % (1112234)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2913668099:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.44/1.46 % (1112232)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=314444072:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.44/1.46 % (1112233)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4018651087:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.44/1.46 % (1112236)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3680659854:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.44/1.46 % (1112238)dis-21_1_sil=8000:lcm=predicate:random_seed=181178428: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)
% 3.44/1.46 % (1112237)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4151541800:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.44/1.46 % (1112235)lrs+10_1_sil=8000:sp=occurrence:random_seed=2850050804:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.44/1.46 % (1112237)Also succeeded, but the first one will report.
% 3.44/1.46 % (1112236)Also succeeded, but the first one will report.
% 3.44/1.46 % (1112238)Also succeeded, but the first one will report.
% 3.44/1.46 % (1112235)First to succeed.
% 3.44/1.46 % (1112235)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1112227"
% 3.44/1.46 [W927 08:43:11.663806844 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.
% 3.44/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.44/1.46 [W927 08:43:11.663831384 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.
% 3.44/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.44/1.46 [W927 08:43:11.663851185 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.
% 3.44/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.44/1.46 [W927 08:43:11.663857242 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.
% 3.44/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.44/1.46 [W927 08:43:11.663871617 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.
% 3.44/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.44/1.46 [W927 08:43:11.663878002 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.
% 3.44/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.44/1.46 [W927 08:43:11.663891741 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.
% 3.44/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.44/1.46 [W927 08:43:11.663897955 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.
% 3.44/1.46 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.44/1.46 % (1112235)Refutation found. Thanks to Tanya!
% 3.44/1.46 % SZS status Unsatisfiable for theBenchmark
% 3.44/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.46 % (1112235)------------------------------
% 3.44/1.46 % (1112235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.46 % (1112235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.46 % (1112235)CaDiCaL version: 2.1.3
% 3.44/1.46 % (1112235)Termination reason: Refutation
% 3.44/1.46 % (1112235)Time elapsed: 0.002 s
% 3.44/1.46 % (1112235)Peak memory usage: 88 MB
% 3.44/1.46 % (1112235)Instructions burned: 1 (million)
% 3.44/1.46 % (1112235)------------------------------
% 3.44/1.46 % (1112235)------------------------------
% 3.44/1.46 % (1112227)Success in time 0.403 s
% 3.44/1.46 % Vampire exiting
%------------------------------------------------------------------------------