%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL249-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n010.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 113.66s 22.31s
% Output : CNFRefutation 113.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 66 ( 26 unt; 0 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 122 ( 62 ~; 60 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 112 ( 0 sgn 112 !; 0 ?; 95 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/LCL003-0.ax',axiom_1_6) ).
fof(f6,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ theorem(X1)
| ~ axiom(or(not(X1),X0))
| theorem(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/LCL003-0.ax',rule_3) ).
fof(f9,negated_conjecture,
~ theorem(or(not(or(not(p),r)),or(not(not(or(not(p),not(q)))),r))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_58,negated_conjecture,
~ theorem(or(not(or(not(p),r)),or(not(not(or(not(p),not(q)))),r))),
inference(cnf_transformation,[],[f9]) ).
tcf(c_59,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_60,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_61,plain,
! [X0: $i,X1: $i] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] : axiom(or(not(X0),or(X1,X0))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_63,plain,
! [X0: $i] : axiom(or(not(or(X0,X0)),X0)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_64,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_65,plain,
! [X0: $i,X1: $i] :
( theorem(X1)
| ~ theorem(X0)
| ~ axiom(or(not(X0),X1)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_66,plain,
! [X0: $i] :
( theorem(X0)
| ~ axiom(X0) ),
inference(cnf_transformation,[],[f6]) ).
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_66]) ).
tcf(c_230,plain,
! [X0: $i] :
( theorem(or(not(or(not(p),r)),or(not(not(or(not(p),not(q)))),r)))
| ~ axiom(or(not(or(not(p),r)),X0))
| ~ theorem(or(not(X0),or(not(not(or(not(p),not(q)))),r))) ),
inference(instantiation,[status(thm)],[c_64]) ).
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_65]) ).
tcf(c_238,plain,
( theorem(or(not(or(not(p),r)),or(not(not(or(not(p),not(q)))),r)))
| ~ axiom(or(not(or(not(p),r)),or(r,not(p))))
| ~ theorem(or(not(or(r,not(p))),or(not(not(or(not(p),not(q)))),r))) ),
inference(instantiation,[status(thm)],[c_230]) ).
tcf(c_239,plain,
axiom(or(not(or(not(p),r)),or(r,not(p)))),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_255,plain,
! [X0: $i,X1: $i] : axiom(or(not(or(not(X0),X1)),or(X1,not(X0)))),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_258,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_259,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_60]) ).
tcf(c_361,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_258]) ).
tcf(c_371,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_63,c_65]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_62,c_65]) ).
tcf(c_391,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_61,c_65]) ).
tcf(c_392,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_59,c_65]) ).
tcf(c_433,plain,
! [X0: $i,X1: $i] : axiom(or(not(or(X0,not(X1))),or(not(X1),X0))),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_466,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_60,c_65]) ).
tcf(c_470,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_60,c_65]) ).
tcf(c_478,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_62]) ).
tcf(c_587,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_64]) ).
tcf(c_792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( theorem(or(not(X3),or(not(X1),X2)))
| ~ axiom(or(not(X3),X0))
| ~ theorem(or(not(X0),or(not(X1),X2))) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_800,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_951,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_372,c_466]) ).
tcf(c_1038,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_587]) ).
tcf(c_1245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( theorem(or(not(or(X1,X0)),or(not(X2),X3)))
| ~ axiom(or(not(or(X1,X0)),or(X0,X1)))
| ~ theorem(or(not(or(X0,X1)),or(not(X2),X3))) ),
inference(instantiation,[status(thm)],[c_792]) ).
tcf(c_1811,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_392,c_470]) ).
tcf(c_1886,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_1038]) ).
tcf(c_1887,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_800]) ).
tcf(c_2176,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_951,c_371]) ).
tcf(c_2574,plain,
! [X0: $i,X1: $i] : axiom(or(not(or(not(X0),not(X1))),or(not(X1),not(X0)))),
inference(instantiation,[status(thm)],[c_255]) ).
tcf(c_2678,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_951,c_2176]) ).
tcf(c_3071,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,X0)),or(not(not(or(not(p),not(q)))),r)))
| ~ axiom(or(not(or(X1,X0)),or(X0,X1)))
| ~ theorem(or(not(or(X0,X1)),or(not(not(or(not(p),not(q)))),r))) ),
inference(instantiation,[status(thm)],[c_1245]) ).
tcf(c_3188,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(not(X0),or(not(X1),X2))),or(not(X1),or(not(X0),X2)))),
inference(instantiation,[status(thm)],[c_259]) ).
tcf(c_5466,plain,
axiom(or(not(not(or(not(p),not(q)))),or(r,not(or(not(p),not(q)))))),
inference(instantiation,[status(thm)],[c_478]) ).
tcf(c_5475,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_433]) ).
tcf(c_10488,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(or(not(or(X2,X0)),X1),X2))
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_1811,c_391]) ).
tcf(c_15147,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_361]) ).
tcf(c_28807,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_3188]) ).
tcf(c_40360,plain,
( theorem(or(not(or(not(q),not(p))),or(not(not(or(not(p),not(q)))),r)))
| ~ axiom(or(not(or(not(q),not(p))),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_3071]) ).
tcf(c_49956,plain,
axiom(or(not(or(not(q),not(p))),or(not(p),not(q)))),
inference(instantiation,[status(thm)],[c_2574]) ).
tcf(c_101639,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(not(X1),X2))
| ~ axiom(or(not(X1),or(X0,X1)))
| ~ theorem(or(not(or(X0,X1)),X2)) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_104032,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(not(or(X0,X1)),or(X2,X0)))
| ~ theorem(or(or(not(or(X0,X1)),or(X2,X0)),X0)) ),
inference(instantiation,[status(thm)],[c_2678]) ).
tcf(c_104033,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(or(not(or(X2,X0)),or(X1,X2)),X2))
| ~ theorem(or(not(X0),or(X1,X2))) ),
inference(instantiation,[status(thm)],[c_10488]) ).
tcf(c_108522,plain,
( theorem(or(not(or(r,not(p))),or(not(not(or(not(p),not(q)))),r)))
| ~ theorem(or(or(not(or(r,not(p))),or(not(not(or(not(p),not(q)))),r)),r)) ),
inference(instantiation,[status(thm)],[c_104032]) ).
tcf(c_132989,plain,
( theorem(or(or(not(or(r,not(p))),or(not(not(or(not(p),not(q)))),r)),r))
| ~ theorem(or(not(not(p)),or(not(not(or(not(p),not(q)))),r))) ),
inference(instantiation,[status(thm)],[c_104033]) ).
tcf(c_145619,plain,
! [X0: $i] :
( theorem(or(not(not(p)),or(not(not(or(not(p),not(q)))),r)))
| ~ axiom(or(not(not(p)),or(X0,not(p))))
| ~ theorem(or(not(or(X0,not(p))),or(not(not(or(not(p),not(q)))),r))) ),
inference(instantiation,[status(thm)],[c_101639]) ).
tcf(c_169568,plain,
! [X0: $i] : axiom(or(not(not(p)),or(X0,not(p)))),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_169596,plain,
( theorem(or(not(not(p)),or(not(not(or(not(p),not(q)))),r)))
| ~ axiom(or(not(not(p)),or(not(q),not(p))))
| ~ theorem(or(not(or(not(q),not(p))),or(not(not(or(not(p),not(q)))),r))) ),
inference(instantiation,[status(thm)],[c_145619]) ).
tcf(c_219521,plain,
axiom(or(not(not(p)),or(not(q),not(p)))),
inference(instantiation,[status(thm)],[c_169568]) ).
tcf(c_219522,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_219521,c_169596,c_132989,c_108522,c_49956,c_40360,c_28807,c_15147,c_5475,c_5466,c_1887,c_1886,c_239,c_238,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL249-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.42 % Computer : n010.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Wed Sep 23 22:35:31 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.48 Running first-order theorem proving
% 0.17/0.48 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
% 0.17/0.50
% 0.17/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.50
% 0.17/0.50 % Detected problem language: tptp
% 0.24/0.51 % Proving...
% 113.66/22.31 % SZS status Started for theBenchmark.p
% 113.66/22.31 % SZS status Unsatisfiable for theBenchmark.p
% 113.66/22.31
% 113.66/22.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 113.66/22.31
% 113.66/22.31 % ------ iProver source info
% 113.66/22.31
% 113.66/22.31 % git: date: 2026-07-19 20:42:38 +0200
% 113.66/22.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 113.66/22.31 % git: non_committed_changes: false
% 113.66/22.31
% 113.66/22.31 % ------ Parsing...% successful
% 113.66/22.31
% 113.66/22.31
% 113.66/22.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 113.66/22.31
% 113.66/22.31 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 113.66/22.31
% 113.66/22.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 113.66/22.31 % ------ Proving...
% 113.66/22.31 % ------ Problem Properties
% 113.66/22.31
% 113.66/22.31 %
% 113.66/22.31 % clauses 9
% 113.66/22.31 % conjectures 1
% 113.66/22.31 % EPR 1
% 113.66/22.31 % Horn 9
% 113.66/22.31 % unary 6
% 113.66/22.31 % binary 1
% 113.66/22.31 % lits 14
% 113.66/22.31 % lits eq 0
% 113.66/22.31 % fd_pure 0
% 113.66/22.31 % fd_pseudo 0
% 113.66/22.31 % fd_cond 0
% 113.66/22.31 % fd_pseudo_cond 0
% 113.66/22.31 % AC symbols 0
% 113.66/22.31
% 113.66/22.31 % ------ Schedule dynamic 5 is on
% 113.66/22.31
% 113.66/22.31 % ------ no equalities: superposition off
% 113.66/22.31
% 113.66/22.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 113.66/22.31
% 113.66/22.31
% 113.66/22.31 % ------
% 113.66/22.31 % Current options:
% 113.66/22.31 % ------
% 113.66/22.31
% 113.66/22.31
% 113.66/22.31 %
% 113.66/22.31
% 113.66/22.31 % ------ Proving...
% 113.66/22.31 % Proof_search_loop: time out after: 5030 full_loop iterations
% 113.66/22.31
% 113.66/22.31 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 113.66/22.31
% 113.66/22.31
% 113.66/22.31 % ------
% 113.66/22.31 % Current options:
% 113.66/22.31 % ------
% 113.66/22.31
% 113.66/22.31
% 113.66/22.31 %
% 113.66/22.31
% 113.66/22.31 % ------ Proving...
% 113.66/22.31 %
% 113.66/22.31
% 113.66/22.31 % SZS status Unsatisfiable for theBenchmark.p
% 113.66/22.31
% 113.66/22.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 113.66/22.31
% 113.66/22.31
%------------------------------------------------------------------------------