%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL076-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.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 02:05:34 PM UTC 2026
% Result : Unsatisfiable 0.43s 1.29s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 14 unt; 3 def)
% Number of atoms : 38 ( 3 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_49) ).
fof(f5,axiom,
! [X0] : is_a_theorem(implies(not(not(X0)),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extra_lemma) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(a,not(not(a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_40) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,plain,
! [X0: $i] : is_a_theorem(implies(not(not(X0)),X0)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,negated_conjecture,
~ is_a_theorem(implies(a,not(not(a)))),
inference(cnf_transformation,[],[f6]) ).
tcf(c_81,definition,
iPr_def_10 = not(a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_82,definition,
iPr_def_11 = not(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_83,definition,
iPr_def_12 = implies(a,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_84,negated_conjecture,
~ is_a_theorem(iPr_def_12),
inference(demodulation,[status(thm)],[c_60,c_81,c_82,c_83]) ).
tcf(c_190,plain,
is_a_theorem(implies(not(iPr_def_11),iPr_def_10)),
inference(superposition,[status(thm)],[c_82,c_59]) ).
tcf(c_215,plain,
is_a_theorem(implies(implies(not(iPr_def_11),not(a)),iPr_def_12)),
inference(superposition,[status(thm)],[c_83,c_58]) ).
tcf(c_217,plain,
is_a_theorem(implies(implies(not(iPr_def_11),iPr_def_10),iPr_def_12)),
inference(light_normalisation,[status(thm)],[c_215,c_81]) ).
tcf(c_258,plain,
( is_a_theorem(iPr_def_12)
| ~ is_a_theorem(implies(not(iPr_def_11),iPr_def_10)) ),
inference(superposition,[status(thm)],[c_217,c_55]) ).
tcf(c_259,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_258,c_84,c_190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL076-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 21:51:04 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 0.43/1.29 % SZS status Started for theBenchmark.p
% 0.43/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.43/1.29
% 0.43/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.43/1.29
% 0.43/1.29 % ------ iProver source info
% 0.43/1.29
% 0.43/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.43/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.43/1.29 % git: non_committed_changes: false
% 0.43/1.29
% 0.43/1.29 % ------ Parsing...% successful
% 0.43/1.29
% 0.43/1.29
% 0.43/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.43/1.29
% 0.43/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.43/1.29
% 0.43/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.43/1.29
% 0.43/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.43/1.29 % ------ Proving...
% 0.43/1.29 % ------ Problem Properties
% 0.43/1.29
% 0.43/1.29 %
% 0.43/1.29 % clauses 9
% 0.43/1.29 % conjectures 1
% 0.43/1.29 % EPR 1
% 0.43/1.29 % Horn 9
% 0.43/1.29 % unary 8
% 0.43/1.29 % binary 0
% 0.43/1.29 % lits 11
% 0.43/1.29 % lits eq 3
% 0.43/1.29 % fd_pure 0
% 0.43/1.29 % fd_pseudo 0
% 0.43/1.29 % fd_cond 0
% 0.43/1.29 % fd_pseudo_cond 0
% 0.43/1.29 % AC symbols 0
% 0.43/1.29
% 0.43/1.29 % ------ Schedule dynamic 5 is on
% 0.43/1.29
% 0.43/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.43/1.29
% 0.43/1.29
% 0.43/1.29 % ------
% 0.43/1.29 % Current options:
% 0.43/1.29 % ------
% 0.43/1.29
% 0.43/1.29
% 0.43/1.29 %
% 0.43/1.29
% 0.43/1.29 % ------ Proving...
% 0.43/1.29 %
% 0.43/1.29
% 0.43/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.43/1.29
% 0.43/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.43/1.29
% 0.43/1.29
%------------------------------------------------------------------------------