%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL171-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 02:05:50 PM UTC 2026
% Result : Unsatisfiable 1.15s 16.36s
% Output : CNFRefutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 13 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
fof(f9,negated_conjecture,
~ theorem(implies(implies(p,not(q)),implies(q,not(p)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f16,plain,
~ theorem(or(not(or(not(p),not(q))),or(not(q),not(p)))),
inference(definition_unfolding,[],[f9,f6,f6,f6]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(cnf_transformation,[],[f12]) ).
tcf(c_63,plain,
! [X0: $i] :
( theorem(X0)
| ~ axiom(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_65,negated_conjecture,
~ theorem(or(not(or(not(p),not(q))),or(not(q),not(p)))),
inference(cnf_transformation,[],[f16]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[status(thm)],[c_63,c_60]) ).
tcf(c_122,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_65,c_104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL171-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/15.44 % CPULimit : 300
% 0.10/15.44 % WCLimit : 300
% 0.10/15.44 % DateTime : Wed Sep 23 22:10:29 UTC 2026
% 0.10/15.44 % CPUTime :
% 0.10/15.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/15.48 Running first-order theorem proving
% 0.10/15.48 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/15.50
% 0.35/15.50 % ======== iProver multi-core TPTP/SMT =========
% 0.35/15.50
% 0.35/15.50 % Detected problem language: tptp
% 0.35/15.51 % Proving...
% 1.15/16.36 % SZS status Started for theBenchmark.p
% 1.15/16.36 % SZS status Unsatisfiable for theBenchmark.p
% 1.15/16.36
% 1.15/16.36 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.15/16.36
% 1.15/16.36 % ------ iProver source info
% 1.15/16.36
% 1.15/16.36 % git: date: 2026-07-19 20:42:38 +0200
% 1.15/16.36 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.15/16.36 % git: non_committed_changes: false
% 1.15/16.36
% 1.15/16.36 % ------ Parsing...% successful
% 1.15/16.36
% 1.15/16.36
% 1.15/16.36 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.15/16.36
% 1.15/16.36 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s%
% 1.15/16.36
% 1.15/16.36 % SZS status Unsatisfiable for theBenchmark.p
% 1.15/16.36
% 1.15/16.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.15/16.36
% 1.15/16.36
%------------------------------------------------------------------------------