%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL265-3 : 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 : n006.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 02:06:13 PM UTC 2026
% Result : Unsatisfiable 2.63s 1.98s
% Output : CNFRefutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 72 ( 46 unt; 0 def)
% Number of atoms : 105 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 73 ( 40 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 8 ( 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 : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 131 ( 0 sgn 131 !; 0 ?; 96 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
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(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
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(f8,axiom,
! [X0,X1] :
( ~ theorem(X1)
| ~ theorem(implies(X1,X0))
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-1.ax',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-2.ax',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(equivalent(p,not(not(p)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f13,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f14,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f15,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f16,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f17,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f18,plain,
! [X0,X1] :
( ~ theorem(X1)
| ~ theorem(or(not(X1),X0))
| theorem(X0) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f19,plain,
~ theorem(not(or(not(or(not(p),not(not(p)))),not(or(not(not(not(p))),p))))),
inference(definition_unfolding,[],[f11,f12]) ).
tcf(c_60,plain,
! [X0: $i] : axiom(or(not(or(X0,X0)),X0)),
inference(cnf_transformation,[],[f13]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : axiom(or(not(X0),or(X1,X0))),
inference(cnf_transformation,[],[f14]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(cnf_transformation,[],[f15]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(cnf_transformation,[],[f16]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(cnf_transformation,[],[f17]) ).
tcf(c_65,plain,
! [X0: $i] :
( theorem(X0)
| ~ axiom(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( theorem(X1)
| ~ theorem(X0)
| ~ theorem(or(not(X0),X1)) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_67,negated_conjecture,
~ theorem(not(or(not(or(not(p),not(not(p)))),not(or(not(not(not(p))),p))))),
inference(cnf_transformation,[],[f19]) ).
tcf(c_96,plain,
! [X0: $i] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[status(thm)],[c_65,c_60]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[status(thm)],[c_65,c_61]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[status(thm)],[c_65,c_62]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[status(thm)],[c_65,c_63]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[status(thm)],[c_65,c_64]) ).
tcf(c_277,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_111,c_66]) ).
tcf(c_291,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_96,c_66]) ).
tcf(c_292,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_101,c_66]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_315,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_101,c_277]) ).
tcf(c_316,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(superposition,[status(thm)],[c_106,c_277]) ).
tcf(c_317,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_292,c_277]) ).
tcf(c_380,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_315,c_291]) ).
tcf(c_381,plain,
! [X0: $i,X1: $i] : theorem(or(or(not(X0),X0),X1)),
inference(superposition,[status(thm)],[c_315,c_293]) ).
tcf(c_415,plain,
! [X0: $i] : theorem(or(X0,not(X0))),
inference(superposition,[status(thm)],[c_380,c_293]) ).
tcf(c_417,plain,
theorem(or(p,not(p))),
inference(instantiation,[status(thm)],[c_415]) ).
tcf(c_461,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,not(X0))),X1))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_316,c_66]) ).
tcf(c_641,plain,
! [X0: $i,X1: $i] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(X0,not(X1))) ),
inference(superposition,[status(thm)],[c_461,c_66]) ).
tcf(c_860,plain,
! [X0: $i,X1: $i] :
( theorem(not(or(not(X1),not(X0))))
| ~ theorem(X1)
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_461,c_641]) ).
tcf(c_925,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(X0,or(or(not(X1),X1),X2))),
inference(superposition,[status(thm)],[c_381,c_277]) ).
tcf(c_1479,plain,
( ~ theorem(or(not(p),not(not(p))))
| ~ theorem(or(not(not(not(p))),p)) ),
inference(superposition,[status(thm)],[c_860,c_67]) ).
tcf(c_3878,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_96,c_66]) ).
tcf(c_3912,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_3923,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_381,c_3912]) ).
tcf(c_3993,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(or(not(X0),X0),or(X1,X2))),
inference(superposition,[status(thm)],[c_925,c_277]) ).
tcf(c_4212,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(or(X0,X1),or(not(X2),X2))),
inference(superposition,[status(thm)],[c_3993,c_3912]) ).
tcf(c_4414,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(not(X0),or(or(X1,X2),X0))),
inference(superposition,[status(thm)],[c_4212,c_277]) ).
tcf(c_4573,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(not(or(X2,X0)),or(X2,X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_116,c_66]) ).
tcf(c_4603,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X2,X1))
| ~ theorem(or(X2,X0))
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_4573,c_66]) ).
tcf(c_4854,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_317,c_3878]) ).
tcf(c_5026,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(not(X2),X2)))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_3923,c_4603]) ).
tcf(c_7475,plain,
! [X0: $i,X1: $i] : theorem(or(not(X0),or(not(X1),X1))),
inference(superposition,[status(thm)],[c_4414,c_5026]) ).
tcf(c_7805,plain,
! [X0: $i,X1: $i] : theorem(or(or(not(X0),X0),not(X1))),
inference(superposition,[status(thm)],[c_7475,c_3912]) ).
tcf(c_7880,plain,
! [X0: $i] : theorem(or(not(not(X0)),not(X0))),
inference(superposition,[status(thm)],[c_7805,c_4854]) ).
tcf(c_8065,plain,
! [X0: $i] : theorem(or(not(X0),not(not(X0)))),
inference(superposition,[status(thm)],[c_7880,c_3912]) ).
tcf(c_8069,plain,
theorem(or(not(p),not(not(p)))),
inference(instantiation,[status(thm)],[c_8065]) ).
tcf(c_8278,plain,
( ~ theorem(or(not(p),not(not(p))))
| ~ theorem(or(not(not(not(p))),p)) ),
inference(superposition,[status(thm)],[c_860,c_67]) ).
tcf(c_8280,plain,
~ theorem(or(not(not(not(p))),p)),
inference(global_subsumption_just,[status(thm)],[c_8278,c_1479,c_8069]) ).
tcf(c_8300,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_8593,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(not(or(X2,X0)),or(X2,X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_116,c_66]) ).
tcf(c_8892,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X2,X1))
| ~ theorem(or(X2,X0))
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_8593,c_66]) ).
tcf(c_9302,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_415,c_8892]) ).
tcf(c_10048,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(not(X1)),X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_9302,c_8300]) ).
tcf(c_10679,plain,
~ theorem(or(p,not(p))),
inference(superposition,[status(thm)],[c_10048,c_8280]) ).
tcf(c_10685,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10679,c_417]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL265-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.43 % Computer : n006.cluster.edu
% 0.14/0.43 % Model : x86_64 x86_64
% 0.14/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.43 % Memory : 8046.5625MB
% 0.14/0.43 % OS : Linux 6.8.0-71-generic
% 0.14/0.43 % CPULimit : 300
% 0.14/0.43 % WCLimit : 300
% 0.14/0.43 % DateTime : Wed Sep 23 22:39:28 UTC 2026
% 0.14/0.43 % CPUTime :
% 0.14/0.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.50 Running first-order theorem proving
% 0.14/0.50 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
% 0.24/0.51
% 0.24/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.24/0.51
% 0.24/0.52 % Detected problem language: tptp
% 0.24/0.53 % Proving...
% 2.63/1.98 % SZS status Started for theBenchmark.p
% 2.63/1.98 % SZS status Unsatisfiable for theBenchmark.p
% 2.63/1.98
% 2.63/1.98 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.63/1.98
% 2.63/1.98 % ------ iProver source info
% 2.63/1.98
% 2.63/1.98 % git: date: 2026-07-19 20:42:38 +0200
% 2.63/1.98 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.63/1.98 % git: non_committed_changes: false
% 2.63/1.98
% 2.63/1.98 % ------ Parsing...% successful
% 2.63/1.98
% 2.63/1.98
% 2.63/1.98 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.63/1.98
% 2.63/1.98 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.63/1.98
% 2.63/1.98 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.63/1.98 % ------ Proving...
% 2.63/1.98 % ------ Problem Properties
% 2.63/1.98
% 2.63/1.98 %
% 2.63/1.98 % clauses 7
% 2.63/1.98 % conjectures 1
% 2.63/1.98 % EPR 0
% 2.63/1.98 % Horn 7
% 2.63/1.98 % unary 6
% 2.63/1.98 % binary 0
% 2.63/1.98 % lits 9
% 2.63/1.98 % lits eq 0
% 2.63/1.98 % fd_pure 0
% 2.63/1.98 % fd_pseudo 0
% 2.63/1.98 % fd_cond 0
% 2.63/1.98 % fd_pseudo_cond 0
% 2.63/1.98 % AC symbols 0
% 2.63/1.98
% 2.63/1.98 % ------ Input Options Time Limit: Unbounded
% 2.63/1.98
% 2.63/1.98
% 2.63/1.98 % ------
% 2.63/1.98 % Current options:
% 2.63/1.98 % ------
% 2.63/1.98
% 2.63/1.98
% 2.63/1.98 %
% 2.63/1.98
% 2.63/1.98 % ------ Proving...
% 2.63/1.98 %
% 2.63/1.98
% 2.63/1.98 % SZS status Unsatisfiable for theBenchmark.p
% 2.63/1.98
% 2.63/1.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.63/1.98
% 2.63/1.98
%------------------------------------------------------------------------------