%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV011+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.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 : Fri Sep 25 03:16:12 PM UTC 2026
% Result : Theorem 1.11s 1.28s
% Output : CNFRefutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 3 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 3 !; 2 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
b_holds(key(generate_key(an_a_nonce),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f13,axiom,
a_holds(key(generate_key(an_a_nonce),b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f17,conjecture,
? [X0] :
( b_holds(key(X0,a))
& a_holds(key(X0,b)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f18,negated_conjecture,
~ ? [X0] :
( b_holds(key(X0,a))
& a_holds(key(X0,b)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f31,plain,
! [X0] :
( ~ b_holds(key(X0,a))
| ~ a_holds(key(X0,b)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f34,plain,
b_holds(key(generate_key(an_a_nonce),a)),
inference(cnf_transformation,[],[f11]) ).
fof(f35,plain,
a_holds(key(generate_key(an_a_nonce),b)),
inference(cnf_transformation,[],[f13]) ).
fof(f36,plain,
! [X0] :
( ~ b_holds(key(X0,a))
| ~ a_holds(key(X0,b)) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_51,plain,
b_holds(key(generate_key(an_a_nonce),a)),
inference(cnf_transformation,[],[f34]) ).
tcf(c_52,plain,
a_holds(key(generate_key(an_a_nonce),b)),
inference(cnf_transformation,[],[f35]) ).
tcf(c_53,negated_conjecture,
! [X0: $i] :
( ~ b_holds(key(X0,a))
| ~ a_holds(key(X0,b)) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_67,plain,
~ b_holds(key(generate_key(an_a_nonce),a)),
inference(resolution,[status(thm)],[c_52,c_53]) ).
tcf(c_68,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_67,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV011+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n011.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Thu Sep 24 18:16:43 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 1.11/1.28 % SZS status Started for theBenchmark.p
% 1.11/1.28 % SZS status Theorem for theBenchmark.p
% 1.11/1.28
% 1.11/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.11/1.28
% 1.11/1.28 % ------ iProver source info
% 1.11/1.28
% 1.11/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.11/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.11/1.28 % git: non_committed_changes: false
% 1.11/1.28
% 1.11/1.28 % ------ Parsing...
% 1.11/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.11/1.28
% 1.11/1.28 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s %
% 1.11/1.28
% 1.11/1.28 % SZS status Theorem for theBenchmark.p
% 1.11/1.28
% 1.11/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.11/1.28
% 1.11/1.28
%------------------------------------------------------------------------------