%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN390+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 01:50:28 PM UTC 2026
% Result : Theorem 3.42s 1.24s
% Output : Refutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 6 ~; 4 |; 1 &)
% ( 2 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 2 ( 1 usr; 2 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( p
<=> p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel11) ).
fof(f2,negated_conjecture,
~ ( p
<=> p ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( p
<~> p ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ( ~ p
| ~ p )
& ( p
| p ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f5,plain,
( p
| p ),
inference(cnf_transformation,[],[f4]) ).
fof(f6,plain,
( ~ p
| ~ p ),
inference(cnf_transformation,[],[f4]) ).
fof(f7,plain,
p,
inference(duplicate_literal_removal,[],[f5]) ).
fof(f8,plain,
~ p,
inference(duplicate_literal_removal,[],[f6]) ).
fof(f9,plain,
$false,
inference(forward_subsumption_resolution,[],[f8,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN390+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n009.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 15:53:51 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 3.42/1.24 % (3179901)Detected formulas, will run a generic FOF schedule.
% 3.42/1.24 % (3179954)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2925413433:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 3.42/1.24 % (3179956)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1821982513:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 3.42/1.24 % (3179956)First to succeed.
% 3.42/1.24 % (3179956)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3179901"
% 3.42/1.24 % (3179953)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=2793408813:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 3.42/1.24 % (3179955)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=241201264:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 3.42/1.24 % (3179957)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3814665987:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 3.42/1.24 % (3179959)dis-21_1_sil=8000:lcm=predicate:random_seed=3691492275:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/129Mi)
% 3.42/1.24 % (3179958)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2393358830:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 3.42/1.24 % (3179957)Also succeeded, but the first one will report.
% 3.42/1.24 % (3179958)Also succeeded, but the first one will report.
% 3.42/1.24 % (3179959)Also succeeded, but the first one will report.
% 3.42/1.24 [W928 15:53:52.828034104 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.
% 3.42/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.42/1.24 [W928 15:53:52.828058827 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.
% 3.42/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.42/1.24 [W928 15:53:52.828080815 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.
% 3.42/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.42/1.24 [W928 15:53:52.828088368 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.
% 3.42/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.42/1.24 [W928 15:53:52.828103017 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.
% 3.42/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.42/1.24 [W928 15:53:52.828109708 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.
% 3.42/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.42/1.24 [W928 15:53:52.828123224 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.
% 3.42/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.42/1.24 [W928 15:53:52.828130133 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.
% 3.42/1.24 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.42/1.24 % (3179956)Refutation found. Thanks to Tanya!
% 3.42/1.24 % SZS status Theorem for theBenchmark
% 3.42/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 3.42/1.24 % (3179956)------------------------------
% 3.42/1.24 % (3179956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.24 % (3179956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.24 % (3179956)CaDiCaL version: 2.1.3
% 3.42/1.24 % (3179956)Termination reason: Refutation
% 3.42/1.24 % (3179956)Time elapsed: 0.001 s
% 3.42/1.24 % (3179956)Peak memory usage: 88 MB
% 3.42/1.24 % (3179956)------------------------------
% 3.42/1.24 % (3179956)------------------------------
% 3.42/1.24 % (3179901)Success in time 0.391 s
% 3.42/1.24 % Vampire exiting
%------------------------------------------------------------------------------