%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN416+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:50:33 PM UTC 2026
% Result : Theorem 3.45s 1.15s
% Output : Refutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 18 ( 6 ~; 2 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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,conjecture,
( ( p
=> q )
| ( q
=> p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel16) ).
fof(f2,negated_conjecture,
~ ( ( p
=> q )
| ( q
=> p ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ~ q
& p
& ~ p
& q ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ~ q
& p
& ~ p
& q ),
inference(flattening,[],[f3]) ).
fof(f6,plain,
~ p,
inference(cnf_transformation,[],[f4]) ).
fof(f7,plain,
p,
inference(cnf_transformation,[],[f4]) ).
fof(f9,plain,
$false,
inference(forward_subsumption_resolution,[],[f7,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN416+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n026.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:57:57 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 3.45/1.15 % (3977461)Detected formulas, will run a generic FOF schedule.
% 3.45/1.15 % (3977467)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=3156937565:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.45/1.15 % (3977466)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=1999154010:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.45/1.15 % (3977470)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2235649523:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.45/1.15 % (3977472)dis-21_1_sil=8000:lcm=predicate:random_seed=436961996:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.45/1.15 % (3977469)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1049687450:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.45/1.15 % (3977468)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=4126327091:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.45/1.15 % (3977471)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3956241282:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.45/1.15 % (3977470)Also succeeded, but the first one will report.
% 3.45/1.15 % (3977469)First to succeed.
% 3.45/1.15 % (3977472)Also succeeded, but the first one will report.
% 3.45/1.15 % (3977471)Also succeeded, but the first one will report.
% 3.45/1.15 % (3977469)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3977461"
% 3.45/1.15 [W928 15:57:58.298855648 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.
% 3.45/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.45/1.15 [W928 15:57:58.298889710 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.
% 3.45/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.45/1.15 [W928 15:57:58.298909114 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.
% 3.45/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.45/1.15 [W928 15:57:58.298915250 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.
% 3.45/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.45/1.15 [W928 15:57:58.298928134 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.
% 3.45/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.45/1.15 [W928 15:57:58.298933408 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.
% 3.45/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.45/1.15 [W928 15:57:58.298945934 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.
% 3.45/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.45/1.15 [W928 15:57:58.298952148 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.
% 3.45/1.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.45/1.15 % (3977469)Refutation found. Thanks to Tanya!
% 3.45/1.15 % SZS status Theorem for theBenchmark
% 3.45/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 3.45/1.15 % (3977469)------------------------------
% 3.45/1.15 % (3977469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.15 % (3977469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.15 % (3977469)CaDiCaL version: 2.1.3
% 3.45/1.15 % (3977469)Termination reason: Refutation
% 3.45/1.15 % (3977469)Time elapsed: 0.001 s
% 3.45/1.15 % (3977469)Peak memory usage: 88 MB
% 3.45/1.15 % (3977469)------------------------------
% 3.45/1.15 % (3977469)------------------------------
% 3.45/1.15 % (3977461)Success in time 0.41 s
% 3.45/1.15 % Vampire exiting
%------------------------------------------------------------------------------