%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL250-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 02:06:10 PM UTC 2026
% Result : Unsatisfiable 54.80s 8.58s
% Output : CNFRefutation 54.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 61 ( 27 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 102 ( 52 ~; 50 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 8 ( 3 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 : 96 ( 0 sgn 96 !; 0 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_6) ).
fof(f6,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',rule_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ theorem(X1)
| ~ axiom(or(not(X1),X0))
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',rule_2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ theorem(or(not(X2),X1))
| ~ axiom(or(not(X0),X2))
| theorem(or(not(X0),X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',rule_3) ).
fof(f9,negated_conjecture,
~ theorem(or(not(or(not(q),r)),or(not(not(or(not(p),not(q)))),r))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_58,plain,
! [X0: $i] : axiom(or(not(or(X0,X0)),X0)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : axiom(or(not(X0),or(X1,X0))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_62,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,[],[f5]) ).
tcf(c_63,plain,
! [X0: $i] :
( theorem(X0)
| ~ axiom(X0) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( theorem(X1)
| ~ theorem(X0)
| ~ axiom(or(not(X0),X1)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(not(X2),X1))
| ~ axiom(or(not(X2),X0))
| ~ theorem(or(not(X0),X1)) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_66,negated_conjecture,
~ theorem(or(not(or(not(q),r)),or(not(not(or(not(p),not(q)))),r))),
inference(cnf_transformation,[],[f9]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X0,X1)),or(X1,X0)))
| ~ axiom(or(not(or(X0,X1)),or(X1,X0))) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_232,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(X2)
| ~ theorem(or(not(X0),X1))
| ~ axiom(or(not(or(not(X0),X1)),X2)) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_236,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(X1),or(not(not(or(not(p),not(q)))),r)))
| ~ axiom(or(not(X1),X0))
| ~ theorem(or(not(X0),or(not(not(or(not(p),not(q)))),r))) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_247,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_58,c_64]) ).
tcf(c_248,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_59,c_64]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_60,c_64]) ).
tcf(c_259,plain,
! [X0: $i,X1: $i] : axiom(or(not(or(not(X0),X1)),or(X1,not(X0)))),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_262,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X1,or(not(X0),X2)))
| ~ theorem(or(not(X0),or(X1,X2)))
| ~ axiom(or(not(or(not(X0),or(X1,X2))),or(X1,or(not(X0),X2)))) ),
inference(instantiation,[status(thm)],[c_232]) ).
tcf(c_263,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(not(X0),or(X1,X2))),or(X1,or(not(X0),X2)))),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_61,c_64]) ).
tcf(c_270,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_62,c_64]) ).
tcf(c_335,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(X1),or(not(not(or(not(p),not(q)))),r)))
| ~ axiom(or(not(X1),or(X0,X1)))
| ~ theorem(or(not(or(X0,X1)),or(not(not(or(not(p),not(q)))),r))) ),
inference(instantiation,[status(thm)],[c_236]) ).
tcf(c_347,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_248,c_268]) ).
tcf(c_388,plain,
! [X0: $i] :
( theorem(or(not(X0),or(not(not(or(not(p),not(q)))),r)))
| ~ theorem(or(not(not(or(not(p),not(q)))),or(not(X0),r)))
| ~ axiom(or(not(or(not(not(or(not(p),not(q)))),or(not(X0),r))),or(not(X0),or(not(not(or(not(p),not(q)))),r)))) ),
inference(instantiation,[status(thm)],[c_262]) ).
tcf(c_440,plain,
! [X0: $i] : axiom(or(not(or(not(not(or(not(p),not(q)))),or(not(X0),r))),or(not(X0),or(not(not(or(not(p),not(q)))),r)))),
inference(instantiation,[status(thm)],[c_263]) ).
tcf(c_582,plain,
! [X0: $i,X1: $i] : axiom(or(not(or(X0,not(X1))),or(not(X1),X0))),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_643,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_347,c_247]) ).
tcf(c_679,plain,
! [X0: $i] : axiom(or(not(not(or(not(p),not(q)))),or(X0,not(or(not(p),not(q)))))),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_687,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(not(or(not(p),not(q)))),or(not(X1),r)))
| ~ theorem(or(not(X0),or(not(X1),r)))
| ~ axiom(or(not(not(or(not(p),not(q)))),X0)) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_946,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X0,not(X1))),or(not(X1),X0)))
| ~ axiom(or(not(or(X0,not(X1))),or(not(X1),X0))) ),
inference(instantiation,[status(thm)],[c_227]) ).
tcf(c_1150,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(not(or(not(p),not(q)))),or(not(X1),r)))
| ~ theorem(or(not(or(X0,not(or(not(p),not(q))))),or(not(X1),r)))
| ~ axiom(or(not(not(or(not(p),not(q)))),or(X0,not(or(not(p),not(q)))))) ),
inference(instantiation,[status(thm)],[c_687]) ).
tcf(c_1327,plain,
! [X0: $i,X1: $i] : axiom(or(not(X0),or(not(X1),X0))),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_1435,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X0,or(X1,X2)),X2)) ),
inference(superposition,[status(thm)],[c_347,c_643]) ).
tcf(c_1459,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X2,or(not(or(X2,X0)),X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_270,c_268]) ).
tcf(c_2092,plain,
( theorem(or(not(not(or(not(p),not(q)))),or(not(or(not(p),not(q))),r)))
| ~ axiom(or(not(not(or(not(p),not(q)))),or(r,not(or(not(p),not(q))))))
| ~ theorem(or(not(or(r,not(or(not(p),not(q))))),or(not(or(not(p),not(q))),r))) ),
inference(instantiation,[status(thm)],[c_1150]) ).
tcf(c_2093,plain,
( theorem(or(not(or(r,not(or(not(p),not(q))))),or(not(or(not(p),not(q))),r)))
| ~ axiom(or(not(or(r,not(or(not(p),not(q))))),or(not(or(not(p),not(q))),r))) ),
inference(instantiation,[status(thm)],[c_946]) ).
tcf(c_2126,plain,
! [X0: $i] : axiom(or(not(or(not(X0),r)),or(r,not(X0)))),
inference(instantiation,[status(thm)],[c_259]) ).
tcf(c_2127,plain,
axiom(or(not(or(not(q),r)),or(r,not(q)))),
inference(instantiation,[status(thm)],[c_2126]) ).
tcf(c_4207,plain,
! [X0: $i] : axiom(or(not(or(X0,not(or(not(p),not(q))))),or(not(or(not(p),not(q))),X0))),
inference(instantiation,[status(thm)],[c_582]) ).
tcf(c_4442,plain,
axiom(or(not(not(or(not(p),not(q)))),or(r,not(or(not(p),not(q)))))),
inference(instantiation,[status(thm)],[c_679]) ).
tcf(c_8681,plain,
axiom(or(not(or(r,not(or(not(p),not(q))))),or(not(or(not(p),not(q))),r))),
inference(instantiation,[status(thm)],[c_4207]) ).
tcf(c_10349,plain,
! [X0: $i,X1: $i] : axiom(or(not(not(X0)),or(not(X1),not(X0)))),
inference(instantiation,[status(thm)],[c_1327]) ).
tcf(c_17883,plain,
( theorem(or(not(or(not(p),not(q))),or(not(not(or(not(p),not(q)))),r)))
| ~ theorem(or(not(not(or(not(p),not(q)))),or(not(or(not(p),not(q))),r)))
| ~ axiom(or(not(or(not(not(or(not(p),not(q)))),or(not(or(not(p),not(q))),r))),or(not(or(not(p),not(q))),or(not(not(or(not(p),not(q)))),r)))) ),
inference(instantiation,[status(thm)],[c_388]) ).
tcf(c_29042,plain,
axiom(or(not(or(not(not(or(not(p),not(q)))),or(not(or(not(p),not(q))),r))),or(not(or(not(p),not(q))),or(not(not(or(not(p),not(q)))),r)))),
inference(instantiation,[status(thm)],[c_440]) ).
tcf(c_35683,plain,
axiom(or(not(not(q)),or(not(p),not(q)))),
inference(instantiation,[status(thm)],[c_10349]) ).
tcf(c_45363,plain,
( theorem(or(not(not(q)),or(not(not(or(not(p),not(q)))),r)))
| ~ axiom(or(not(not(q)),or(not(p),not(q))))
| ~ theorem(or(not(or(not(p),not(q))),or(not(not(or(not(p),not(q)))),r))) ),
inference(instantiation,[status(thm)],[c_335]) ).
tcf(c_54854,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(or(not(or(X1,X0)),X2))
| ~ axiom(or(not(or(X0,X1)),or(X1,X0))) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_56139,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(or(not(or(X0,X1)),X2),X0))
| ~ theorem(or(X0,or(not(or(X0,X1)),X2))) ),
inference(instantiation,[status(thm)],[c_249]) ).
tcf(c_56989,plain,
( theorem(or(not(or(not(q),r)),or(not(not(or(not(p),not(q)))),r)))
| ~ axiom(or(not(or(not(q),r)),or(r,not(q))))
| ~ theorem(or(not(or(r,not(q))),or(not(not(or(not(p),not(q)))),r))) ),
inference(instantiation,[status(thm)],[c_54854]) ).
tcf(c_57154,plain,
( theorem(or(not(or(r,not(q))),or(not(not(or(not(p),not(q)))),r)))
| ~ theorem(or(or(not(or(r,not(q))),or(not(not(or(not(p),not(q)))),r)),r)) ),
inference(instantiation,[status(thm)],[c_1435]) ).
tcf(c_60214,plain,
( theorem(or(or(not(or(r,not(q))),or(not(not(or(not(p),not(q)))),r)),r))
| ~ theorem(or(r,or(not(or(r,not(q))),or(not(not(or(not(p),not(q)))),r)))) ),
inference(instantiation,[status(thm)],[c_56139]) ).
tcf(c_65838,plain,
( theorem(or(r,or(not(or(r,not(q))),or(not(not(or(not(p),not(q)))),r))))
| ~ theorem(or(not(not(q)),or(not(not(or(not(p),not(q)))),r))) ),
inference(instantiation,[status(thm)],[c_1459]) ).
tcf(c_65839,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_65838,c_60214,c_57154,c_56989,c_45363,c_35683,c_29042,c_17883,c_8681,c_4442,c_2127,c_2093,c_2092,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL250-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Wed Sep 23 22:35:36 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.33 Running first-order theorem proving
% 0.04/0.33 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
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 54.80/8.58 % SZS status Started for theBenchmark.p
% 54.80/8.58 % SZS status Unsatisfiable for theBenchmark.p
% 54.80/8.58
% 54.80/8.58 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 54.80/8.58
% 54.80/8.58 % ------ iProver source info
% 54.80/8.58
% 54.80/8.58 % git: date: 2026-07-19 20:42:38 +0200
% 54.80/8.58 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 54.80/8.58 % git: non_committed_changes: false
% 54.80/8.58
% 54.80/8.58 % ------ Parsing...% successful
% 54.80/8.58
% 54.80/8.58
% 54.80/8.58 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 54.80/8.58
% 54.80/8.58 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 54.80/8.58
% 54.80/8.58 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 54.80/8.58 % ------ Proving...
% 54.80/8.58 % ------ Problem Properties
% 54.80/8.58
% 54.80/8.58 %
% 54.80/8.58 % clauses 9
% 54.80/8.58 % conjectures 1
% 54.80/8.58 % EPR 1
% 54.80/8.58 % Horn 9
% 54.80/8.58 % unary 6
% 54.80/8.58 % binary 1
% 54.80/8.58 % lits 14
% 54.80/8.58 % lits eq 0
% 54.80/8.58 % fd_pure 0
% 54.80/8.58 % fd_pseudo 0
% 54.80/8.59 % fd_cond 0
% 54.80/8.59 % fd_pseudo_cond 0
% 54.80/8.59 % AC symbols 0
% 54.80/8.59
% 54.80/8.59 % ------ Input Options Time Limit: Unbounded
% 54.80/8.59
% 54.80/8.59
% 54.80/8.59 % ------
% 54.80/8.59 % Current options:
% 54.80/8.59 % ------
% 54.80/8.59
% 54.80/8.59
% 54.80/8.59 %
% 54.80/8.59
% 54.80/8.59 % ------ Proving...
% 54.80/8.59 %
% 54.80/8.59
% 54.80/8.59 % SZS status Unsatisfiable for theBenchmark.p
% 54.80/8.59
% 54.80/8.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 54.80/8.59
% 54.80/8.59
%------------------------------------------------------------------------------