%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV243-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 01:20:33 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.24s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 6 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_Message_Oanalz(c_Message_Osynth(v_H)) != c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,axiom,
! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Osynth(X0),X1,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),c_Message_Osynth(X0),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__synth__Un_0) ).
fof(f3,axiom,
! [X0,X1] : c_union(X0,c_emptyset,X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__right_0) ).
fof(f4,plain,
! [X0] : c_Message_Oanalz(c_union(c_Message_Osynth(X0),c_emptyset,tc_Message_Omsg)) = c_union(c_Message_Oanalz(X0),c_Message_Osynth(X0),tc_Message_Omsg),
inference(superposition,[],[f2,f3]) ).
fof(f6,plain,
c_Message_Oanalz(c_Message_Osynth(v_H)) != c_Message_Oanalz(c_union(c_Message_Osynth(v_H),c_emptyset,tc_Message_Omsg)),
inference(superposition,[],[f1,f4]) ).
fof(f8,plain,
c_Message_Oanalz(c_Message_Osynth(v_H)) != c_Message_Oanalz(c_Message_Osynth(v_H)),
inference(superposition,[],[f6,f3]) ).
fof(f9,plain,
$false,
inference(trivial_inequality_removal,[],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV243-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n001.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 10:21:24 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.24 % (267059)Will run a generic schedule for satisfiability detection.
% 0.07/0.24 % (267070)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2072494837:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.24 % (267070) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-267059-267070"...
% 0.07/0.24 % (267070)...printing done.
% 0.07/0.24 % (267070)Refutation found. Thanks to Tanya!
% 0.07/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (267070)------------------------------
% 0.07/0.25 % (267070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (267070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (267070)CaDiCaL version: 2.1.3
% 0.07/0.25 % (267070)Termination reason: Refutation
% 0.07/0.25 % (267070)Time elapsed: 0.001 s
% 0.07/0.25 % (267070)Peak memory usage: 11 MB
% 0.07/0.25 % (267070)Instructions burned: 1 (million)
% 0.07/0.25 % (267059)Success in time 0.031 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------