%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN040-1 : 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 : 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 01:49:03 PM UTC 2026
% Result : Unsatisfiable 4.66s 1.68s
% Output : Refutation 4.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 4 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 3 ( 2 usr; 3 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ p
| q ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f3,negated_conjecture,
~ q,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
p,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,plain,
q,
inference(forward_subsumption_resolution,[],[f1,f4]) ).
fof(f6,plain,
$false,
inference(forward_subsumption_resolution,[],[f5,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN040-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 % Computer : n018.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 15:26:41 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.30 Running first-order theorem proving
% 0.23/0.30 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
% 4.66/1.67 % (3484266)Input is clausal, will run a generic CNF schedule.
% 4.66/1.67 % (3484328)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2963778153:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 4.66/1.67 % (3484329)lrs+10_1_sil=8000:sp=occurrence:random_seed=2840555715:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 4.66/1.67 % (3484329)First to succeed.
% 4.66/1.67 % (3484329)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3484266"
% 4.66/1.67 % (3484332)dis-21_1_sil=8000:lcm=predicate:random_seed=3855462162:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 4.66/1.67 % (3484332)Also succeeded, but the first one will report.
% 4.66/1.67 % (3484325)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=1356763901:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 4.66/1.67 % (3484326)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=759938214:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 4.66/1.67 % (3484330)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1575144812:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 4.66/1.67 % (3484330)Also succeeded, but the first one will report.
% 4.66/1.67 % (3484331)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3558943102:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 4.66/1.67 % (3484331)Also succeeded, but the first one will report.
% 4.66/1.67 [W928 15:26:42.601221897 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.
% 4.66/1.67 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.67 [W928 15:26:42.601300730 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.
% 4.66/1.68 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.68 [W928 15:26:42.601355742 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.
% 4.66/1.68 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.68 [W928 15:26:42.601386185 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.
% 4.66/1.68 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.68 [W928 15:26:42.601431138 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.
% 4.66/1.68 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.68 [W928 15:26:42.601458303 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.
% 4.66/1.68 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.68 [W928 15:26:42.601497463 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.
% 4.66/1.68 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.68 [W928 15:26:42.601523370 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.
% 4.66/1.68 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.66/1.68 % (3484329)Refutation found. Thanks to Tanya!
% 4.66/1.68 % SZS status Unsatisfiable for theBenchmark
% 4.66/1.68 % SZS output start Proof for theBenchmark
% See solution above
% 4.66/1.68 % (3484329)------------------------------
% 4.66/1.68 % (3484329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.66/1.68 % (3484329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.66/1.68 % (3484329)CaDiCaL version: 2.1.3
% 4.66/1.68 % (3484329)Termination reason: Refutation
% 4.66/1.68 % (3484329)Time elapsed: 0.001 s
% 4.66/1.68 % (3484329)Peak memory usage: 87 MB
% 4.66/1.68 % (3484329)------------------------------
% 4.66/1.68 % (3484329)------------------------------
% 4.66/1.68 % (3484266)Success in time 0.544 s
% 4.66/1.68 % Vampire exiting
%------------------------------------------------------------------------------