%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO561_1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 02:27:58 PM UTC 2026
% Result : Theorem 3.62s 1.26s
% Output : Refutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
company: $tType ).
tff(func_def_0,type,
apple: company ).
tff(func_def_1,type,
microsoft: company ).
tff(f1,axiom,
apple != microsoft,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct_companies) ).
tff(f2,conjecture,
apple != microsoft,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apple_not_microsoft) ).
tff(f3,negated_conjecture,
( ( ~ apple ) != microsoft ),
inference(negated_conjecture,[status(cth)],[f2]) ).
tff(f4,plain,
apple = microsoft,
inference(flattening,[],[f3]) ).
tff(f5,plain,
apple = microsoft,
inference(cnf_transformation,[],[f4]) ).
tff(f6,plain,
apple != microsoft,
inference(cnf_transformation,[],[f1]) ).
tff(f7,plain,
microsoft != microsoft,
inference(definition_unfolding,[],[f6,f5]) ).
tff(f8,plain,
$false,
inference(trivial_inequality_removal,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO561_1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n015.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 17:52:02 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 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
% 3.62/1.26 % (2845631)Detected formulas, will run a generic FOF schedule.
% 3.62/1.26 % (2845731)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=3115877779:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.62/1.26 % (2845732)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=1150926435:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.62/1.26 % (2845733)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=1269584790:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.62/1.26 % (2845736)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4193499219:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.62/1.26 % (2845735)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2803243017:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.62/1.26 % (2845738)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3766169595:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.62/1.26 % (2845736)First to succeed.
% 3.62/1.26 % (2845735)Also succeeded, but the first one will report.
% 3.62/1.26 % (2845736)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2845631"
% 3.62/1.26 % (2845738)Also succeeded, but the first one will report.
% 3.62/1.26 % (2845739)dis-21_1_sil=8000:lcm=predicate:random_seed=662990283: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)
% 3.62/1.26 % (2845739)Also succeeded, but the first one will report.
% 3.62/1.26 [W928 17:52:03.138126291 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.
% 3.62/1.26 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.62/1.26 [W928 17:52:03.138158590 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.
% 3.62/1.26 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.62/1.26 [W928 17:52:03.138178183 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.
% 3.62/1.26 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.62/1.26 [W928 17:52:03.138184271 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.
% 3.62/1.26 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.62/1.26 [W928 17:52:03.138197424 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.
% 3.62/1.26 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.62/1.26 [W928 17:52:03.138203669 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.
% 3.62/1.26 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.62/1.26 % (2845736)Refutation found. Thanks to Tanya!
% 3.62/1.26 % SZS status Theorem for theBenchmark
% 3.62/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.62/1.26 % (2845736)------------------------------
% 3.62/1.26 % (2845736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.26 % (2845736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.26 % (2845736)CaDiCaL version: 2.1.3
% 3.62/1.26 % (2845736)Termination reason: Refutation
% 3.62/1.26 % (2845736)Time elapsed: 0.001 s
% 3.62/1.26 % (2845736)Peak memory usage: 87 MB
% 3.62/1.26 % (2845736)------------------------------
% 3.62/1.26 % (2845736)------------------------------
% 3.62/1.26 % (2845631)Success in time 0.419 s
% 3.62/1.26 % Vampire exiting
%------------------------------------------------------------------------------