%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET836-2 : 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 : n004.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 12:44:45 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.43s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f2,negated_conjecture,
c_lessequals(v_Z,v_X,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
c_in(v_x,v_Z,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,negated_conjecture,
~ c_in(v_x,v_X,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f5,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_lessequals(X1,X3,tc_set(X2))
| c_in(X0,X3,X2) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f6,plain,
~ c_lessequals(v_Z,v_X,tc_set(t_a)),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f18,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f5,f6,f3,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET836-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.36 % Computer : n004.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 28 02:56:52 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.40 Running first-order model finding
% 0.08/0.40 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
% 0.08/0.43 % (4109236)Will run a generic schedule for satisfiability detection.
% 0.08/0.43 % (4109241)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=981115390_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.43 % TRYING [1]
% 0.08/0.43 % TRYING [2]
% 0.08/0.43 % (4109241) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4109236-4109241"...
% 0.08/0.43 % (4109241)...printing done.
% 0.08/0.43 % (4109241)Refutation found. Thanks to Tanya!
% 0.08/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.43 % (4109241)------------------------------
% 0.08/0.43 % (4109241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.43 % (4109241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.43 % (4109241)CaDiCaL version: 2.1.3
% 0.08/0.43 % (4109241)Termination reason: Refutation
% 0.08/0.43 % (4109241)Time elapsed: 0.001 s
% 0.08/0.43 % (4109241)Peak memory usage: 11 MB
% 0.08/0.43 % (4109241)Instructions burned: 1 (million)
% 0.08/0.43 % (4109236)Success in time 0.025 s
% 0.08/0.43 % Vampire exiting
%------------------------------------------------------------------------------