%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV262-2 : 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 : n017.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 01:20:38 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.23s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,axiom,
! [X0,X1] : c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)) = c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__Un_0) ).
fof(f3,axiom,
! [X0,X1] : c_union(c_emptyset,X0,X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__left_0) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : c_union(c_insert(X0,X1,X2),X3,X2) = c_insert(X0,c_union(X1,X3,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__insert__left_0) ).
fof(f5,plain,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_Message_Oparts(c_union(c_insert(v_X,c_emptyset,tc_Message_Omsg),c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(superposition,[],[f1,f2]) ).
fof(f6,plain,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_Message_Oparts(c_union(c_union(c_insert(v_X,c_emptyset,tc_Message_Omsg),c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)),
inference(forward_demodulation,[],[f5,f2]) ).
fof(f7,plain,
! [X2,X0,X1] : c_union(c_insert(X1,c_emptyset,X2),X0,X2) = c_insert(X1,X0,X2),
inference(superposition,[],[f4,f3]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : c_union(c_insert(X3,c_insert(X0,c_emptyset,X2),X2),X1,X2) = c_insert(X3,c_insert(X0,X1,X2),X2),
inference(superposition,[],[f4,f7]) ).
fof(f10,plain,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_Message_Oparts(c_union(c_insert(v_X,c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)),
inference(superposition,[],[f6,f7]) ).
fof(f13,plain,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),
inference(superposition,[],[f10,f9]) ).
fof(f14,plain,
$false,
inference(trivial_inequality_removal,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV262-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.17 % Computer : n017.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 10:15:21 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 Running first-order model finding
% 0.10/0.20 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
% 0.10/0.23 % (3456504)Will run a generic schedule for satisfiability detection.
% 0.10/0.23 % (3456511)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2110117099:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.23 % (3456511) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3456504-3456511"...
% 0.10/0.23 % (3456511)...printing done.
% 0.10/0.23 % (3456511)Refutation found. Thanks to Tanya!
% 0.10/0.23 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.23 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.23 % (3456511)------------------------------
% 0.10/0.23 % (3456511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.23 % (3456511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.23 % (3456511)CaDiCaL version: 2.1.3
% 0.10/0.23 % (3456511)Termination reason: Refutation
% 0.10/0.23 % (3456511)Time elapsed: 0.001 s
% 0.10/0.23 % (3456511)Peak memory usage: 11 MB
% 0.10/0.23 % (3456511)Instructions burned: 2 (million)
% 0.10/0.23 % (3456504)Success in time 0.025 s
% 0.10/0.24 % Vampire exiting
%------------------------------------------------------------------------------