%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL230-2 : 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 : n018.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 11:51:41 AM UTC 2026
% Result : Unsatisfiable 3.51s 1.38s
% Output : Refutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 6 ( 3 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 4 ( 3 usr; 4 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ q
| p
| r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
~ p,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
q,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
~ r,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,plain,
( p
| r ),
inference(forward_subsumption_resolution,[],[f1,f3]) ).
fof(f6,plain,
r,
inference(forward_subsumption_resolution,[],[f5,f2]) ).
fof(f7,plain,
$false,
inference(forward_subsumption_resolution,[],[f6,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL230-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 % Computer : n018.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 15:30:38 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
% 3.51/1.38 % (2516942)Input is clausal, will run a generic CNF schedule.
% 3.51/1.38 % (2516948)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3738393375:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.51/1.38 % (2516950)lrs+10_1_sil=8000:sp=occurrence:random_seed=1286100433:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.51/1.38 % (2516949)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1825990733:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.51/1.38 % (2516951)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3344036888:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.51/1.38 % (2516953)dis-21_1_sil=8000:lcm=predicate:random_seed=1881752182: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)
% 3.51/1.38 % (2516947)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=2199070897:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.51/1.38 % (2516952)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3276031782:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.51/1.38 % (2516950)First to succeed.
% 3.51/1.38 % (2516950)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2516942"
% 3.51/1.38 % (2516951)Also succeeded, but the first one will report.
% 3.51/1.38 % (2516952)Also succeeded, but the first one will report.
% 3.51/1.38 % (2516953)Also succeeded, but the first one will report.
% 3.51/1.38 [W927 15:30:39.151204189 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.
% 3.51/1.38 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.51/1.38 [W927 15:30:39.151228866 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.
% 3.51/1.38 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.51/1.38 [W927 15:30:39.151247754 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.
% 3.51/1.38 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.51/1.38 [W927 15:30:39.151254068 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.
% 3.51/1.38 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.51/1.38 [W927 15:30:39.151268751 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.
% 3.51/1.38 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.51/1.38 [W927 15:30:39.151275613 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.
% 3.51/1.38 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.51/1.38 [W927 15:30:39.151288705 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.
% 3.51/1.38 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.51/1.38 [W927 15:30:39.151294994 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.
% 3.51/1.38 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.51/1.38 % (2516950)Refutation found. Thanks to Tanya!
% 3.51/1.38 % SZS status Unsatisfiable for theBenchmark
% 3.51/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.38 % (2516950)------------------------------
% 3.51/1.38 % (2516950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.38 % (2516950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.38 % (2516950)CaDiCaL version: 2.1.3
% 3.51/1.38 % (2516950)Termination reason: Refutation
% 3.51/1.38 % (2516950)Time elapsed: 0.001 s
% 3.51/1.38 % (2516950)Peak memory usage: 87 MB
% 3.51/1.38 % (2516950)------------------------------
% 3.51/1.38 % (2516950)------------------------------
% 3.51/1.38 % (2516942)Success in time 0.43 s
% 3.51/1.38 % Vampire exiting
%------------------------------------------------------------------------------