%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN044-1 : 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 : 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 01:49:04 PM UTC 2026
% Result : Unsatisfiable 3.41s 1.15s
% Output : Refutation 3.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 5 unt; 3 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 19 ~; 22 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 7 ( 6 usr; 7 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,
( ~ q
| r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,axiom,
( ~ r
| p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,axiom,
( ~ r
| q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,axiom,
( ~ p
| q
| r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
( ~ p
| ~ q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
( p
| q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f8,definition,
( spl0_1
<=> q ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f11,definition,
( spl0_2
<=> p ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f13,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f6,f11,f8]) ).
fof(f16,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f5,f11,f8]) ).
fof(f18,definition,
( spl0_3
<=> r ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f20,plain,
( spl0_3
| spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f4,f11,f8,f18]) ).
fof(f22,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f3,f18,f8]) ).
fof(f23,plain,
( spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f2,f18,f11]) ).
fof(f24,plain,
( spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1,f8,f18]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f13]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f16]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f20]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f22]) ).
cnf(s5,plain,
( spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f23]) ).
cnf(s6,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f24]) ).
cnf(s7,plain,
( spl0_1
| spl0_3 ),
inference(rat,[],[s1,s3]) ).
cnf(s8,plain,
spl0_1,
inference(rat,[],[s7,s4]) ).
cnf(s9,plain,
spl0_3,
inference(rat,[],[s6,s8]) ).
cnf(s10,plain,
~ spl0_2,
inference(rat,[],[s2,s8]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s5,s9,s10]) ).
fof(f25,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN044-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n001.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 15:29:48 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running first-order theorem proving
% 0.10/0.21 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
% 3.41/1.15 % (431573)Input is clausal, will run a generic CNF schedule.
% 3.41/1.15 % (431578)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=4003598657:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.41/1.15 % (431581)lrs+10_1_sil=8000:sp=occurrence:random_seed=3104494891:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.41/1.15 % (431584)dis-21_1_sil=8000:lcm=predicate:random_seed=1900476925: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)
% 3.41/1.15 % (431579)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3842262974:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.41/1.15 % (431582)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=434263711:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.41/1.15 % (431580)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1881737003:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.41/1.15 % (431582)Also succeeded, but the first one will report.
% 3.41/1.15 % (431581)Also succeeded, but the first one will report.
% 3.41/1.15 % (431584)First to succeed.
% 3.41/1.15 % (431584)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-431573"
% 3.41/1.15 % (431583)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3228606189:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.41/1.15 % (431583)Also succeeded, but the first one will report.
% 3.41/1.15 [W928 15:29:49.373461215 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.
% 3.41/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.41/1.15 [W928 15:29:49.373482202 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.
% 3.41/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.41/1.15 [W928 15:29:49.373501552 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.
% 3.41/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.41/1.15 [W928 15:29:49.373507594 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.
% 3.41/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.41/1.15 [W928 15:29:49.373522248 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.
% 3.41/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.41/1.15 [W928 15:29:49.373528614 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.
% 3.41/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.41/1.15 [W928 15:29:49.373541528 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.
% 3.41/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.41/1.15 [W928 15:29:49.373547904 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.
% 3.41/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.41/1.15 % (431584)Refutation found. Thanks to Tanya!
% 3.41/1.15 % SZS status Unsatisfiable for theBenchmark
% 3.41/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 3.41/1.15 % (431584)------------------------------
% 3.41/1.15 % (431584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.15 % (431584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.15 % (431584)CaDiCaL version: 2.1.3
% 3.41/1.15 % (431584)Termination reason: Refutation
% 3.41/1.15 % (431584)Time elapsed: 0.002 s
% 3.41/1.15 % (431584)Peak memory usage: 88 MB
% 3.41/1.15 % (431584)------------------------------
% 3.41/1.15 % (431584)------------------------------
% 3.41/1.15 % (431573)Success in time 0.403 s
% 3.41/1.15 % Vampire exiting
%------------------------------------------------------------------------------