%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL196-1 : TPTP v9.3.1. Released v1.1.0.
% 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 02:05:56 PM UTC 2026
% Result : Unsatisfiable 22.69s 3.92s
% Output : CNFRefutation 22.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 26 unt; 0 def)
% Number of atoms : 106 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 106 ( 54 ~; 52 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 9 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 84 ( 0 sgn 84 !; 0 ?; 67 :)
% 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(p,or(p,q))),or(p,q))),
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(p,or(p,q))),or(p,q))),
inference(cnf_transformation,[],[f9]) ).
tcf(c_226,plain,
! [X0: $i] :
( theorem(or(not(or(p,or(p,q))),or(p,q)))
| ~ theorem(X0)
| ~ axiom(or(not(X0),or(not(or(p,or(p,q))),or(p,q)))) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_232,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(X1),or(p,q)))
| ~ axiom(or(not(X1),X0))
| ~ theorem(or(not(X0),or(p,q))) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_233,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_238,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(X1),or(p,q)))
| ~ axiom(or(not(X1),or(X0,X1)))
| ~ theorem(or(not(or(X0,X1)),or(p,q))) ),
inference(instantiation,[status(thm)],[c_232]) ).
tcf(c_246,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_257,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_233]) ).
tcf(c_259,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(not(or(X2,X0)),or(X2,X1)))
| ~ theorem(or(not(X0),X1))
| ~ axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))) ),
inference(instantiation,[status(thm)],[c_233]) ).
tcf(c_276,plain,
( theorem(or(not(or(q,p)),or(p,q)))
| ~ axiom(or(not(or(q,p)),or(p,q))) ),
inference(instantiation,[status(thm)],[c_246]) ).
tcf(c_298,plain,
( theorem(or(not(p),or(p,q)))
| ~ axiom(or(not(p),or(q,p)))
| ~ theorem(or(not(or(q,p)),or(p,q))) ),
inference(instantiation,[status(thm)],[c_238]) ).
tcf(c_313,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_332,plain,
axiom(or(not(p),or(q,p))),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( theorem(X3)
| ~ theorem(or(X0,or(not(X1),X2)))
| ~ axiom(or(not(or(X0,or(not(X1),X2))),X3)) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_358,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(not(or(p,or(p,q))),or(p,q)))
| ~ theorem(or(X0,or(not(X1),X2)))
| ~ axiom(or(not(or(X0,or(not(X1),X2))),or(not(or(p,or(p,q))),or(p,q)))) ),
inference(instantiation,[status(thm)],[c_226]) ).
tcf(c_397,plain,
axiom(or(not(or(q,p)),or(p,q))),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_454,plain,
( theorem(or(not(or(p,or(p,q))),or(p,q)))
| ~ theorem(or(or(not(or(p,or(p,q))),or(p,q)),or(not(or(p,or(p,q))),or(p,q))))
| ~ axiom(or(not(or(or(not(or(p,or(p,q))),or(p,q)),or(not(or(p,or(p,q))),or(p,q)))),or(not(or(p,or(p,q))),or(p,q)))) ),
inference(instantiation,[status(thm)],[c_358]) ).
tcf(c_470,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(or(not(X1),X2),X0))
| ~ theorem(or(X0,or(not(X1),X2)))
| ~ axiom(or(not(or(X0,or(not(X1),X2))),or(or(not(X1),X2),X0))) ),
inference(instantiation,[status(thm)],[c_357]) ).
tcf(c_567,plain,
axiom(or(not(or(or(not(or(p,or(p,q))),or(p,q)),or(not(or(p,or(p,q))),or(p,q)))),or(not(or(p,or(p,q))),or(p,q)))),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_632,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(X0,or(not(X1),X2))),or(or(not(X1),X2),X0))),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_666,plain,
axiom(or(not(or(p,or(p,q))),or(or(p,q),p))),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_684,plain,
( theorem(or(or(not(or(p,or(p,q))),or(p,q)),or(not(or(p,or(p,q))),or(p,q))))
| ~ theorem(or(not(or(p,or(p,q))),or(or(not(or(p,or(p,q))),or(p,q)),or(p,q))))
| ~ axiom(or(not(or(not(or(p,or(p,q))),or(or(not(or(p,or(p,q))),or(p,q)),or(p,q)))),or(or(not(or(p,or(p,q))),or(p,q)),or(not(or(p,or(p,q))),or(p,q))))) ),
inference(instantiation,[status(thm)],[c_257]) ).
tcf(c_904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( theorem(X3)
| ~ theorem(or(or(not(X0),X1),X2))
| ~ axiom(or(not(or(or(not(X0),X1),X2)),X3)) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : axiom(or(not(or(X0,or(X1,X2))),or(X3,or(X0,or(X1,X2))))),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_1052,plain,
axiom(or(not(or(not(or(p,or(p,q))),or(or(not(or(p,or(p,q))),or(p,q)),or(p,q)))),or(or(not(or(p,or(p,q))),or(p,q)),or(not(or(p,or(p,q))),or(p,q))))),
inference(instantiation,[status(thm)],[c_313]) ).
tcf(c_1337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( theorem(or(X3,or(or(not(X0),X1),X2)))
| ~ theorem(or(or(not(X0),X1),X2))
| ~ axiom(or(not(or(or(not(X0),X1),X2)),or(X3,or(or(not(X0),X1),X2)))) ),
inference(instantiation,[status(thm)],[c_904]) ).
tcf(c_3029,plain,
( theorem(or(not(or(p,or(p,q))),or(or(not(or(p,or(p,q))),or(p,q)),or(p,q))))
| ~ theorem(or(or(not(or(p,or(p,q))),or(p,q)),or(p,q)))
| ~ axiom(or(not(or(or(not(or(p,or(p,q))),or(p,q)),or(p,q))),or(not(or(p,or(p,q))),or(or(not(or(p,or(p,q))),or(p,q)),or(p,q))))) ),
inference(instantiation,[status(thm)],[c_1337]) ).
tcf(c_3600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : axiom(or(not(or(or(not(X0),X1),or(X2,X3))),or(X4,or(or(not(X0),X1),or(X2,X3))))),
inference(instantiation,[status(thm)],[c_956]) ).
tcf(c_4416,plain,
( theorem(or(or(not(or(p,or(p,q))),or(p,q)),or(p,q)))
| ~ theorem(or(or(p,q),or(not(or(p,or(p,q))),or(p,q))))
| ~ axiom(or(not(or(or(p,q),or(not(or(p,or(p,q))),or(p,q)))),or(or(not(or(p,or(p,q))),or(p,q)),or(p,q)))) ),
inference(instantiation,[status(thm)],[c_470]) ).
tcf(c_10151,plain,
axiom(or(not(or(or(p,q),or(not(or(p,or(p,q))),or(p,q)))),or(or(not(or(p,or(p,q))),or(p,q)),or(p,q)))),
inference(instantiation,[status(thm)],[c_632]) ).
tcf(c_11196,plain,
( theorem(or(or(p,q),or(not(or(p,or(p,q))),or(p,q))))
| ~ theorem(or(not(or(p,or(p,q))),or(or(p,q),or(p,q))))
| ~ axiom(or(not(or(not(or(p,or(p,q))),or(or(p,q),or(p,q)))),or(or(p,q),or(not(or(p,or(p,q))),or(p,q))))) ),
inference(instantiation,[status(thm)],[c_257]) ).
tcf(c_20046,plain,
axiom(or(not(or(not(or(p,or(p,q))),or(or(p,q),or(p,q)))),or(or(p,q),or(not(or(p,or(p,q))),or(p,q))))),
inference(instantiation,[status(thm)],[c_313]) ).
tcf(c_28430,plain,
! [X0: $i] :
( theorem(or(not(or(p,or(p,q))),or(or(p,q),or(p,q))))
| ~ axiom(or(not(or(p,or(p,q))),X0))
| ~ theorem(or(not(X0),or(or(p,q),or(p,q)))) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_42239,plain,
( theorem(or(not(or(p,or(p,q))),or(or(p,q),or(p,q))))
| ~ axiom(or(not(or(p,or(p,q))),or(or(p,q),p)))
| ~ theorem(or(not(or(or(p,q),p)),or(or(p,q),or(p,q)))) ),
inference(instantiation,[status(thm)],[c_28430]) ).
tcf(c_50618,plain,
( theorem(or(not(or(or(p,q),p)),or(or(p,q),or(p,q))))
| ~ theorem(or(not(p),or(p,q)))
| ~ axiom(or(not(or(not(p),or(p,q))),or(not(or(or(p,q),p)),or(or(p,q),or(p,q))))) ),
inference(instantiation,[status(thm)],[c_259]) ).
tcf(c_61061,plain,
axiom(or(not(or(not(p),or(p,q))),or(not(or(or(p,q),p)),or(or(p,q),or(p,q))))),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_63366,plain,
axiom(or(not(or(or(not(or(p,or(p,q))),or(p,q)),or(p,q))),or(not(or(p,or(p,q))),or(or(not(or(p,or(p,q))),or(p,q)),or(p,q))))),
inference(instantiation,[status(thm)],[c_3600]) ).
tcf(c_63367,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_63366,c_61061,c_50618,c_42239,c_20046,c_11196,c_10151,c_4416,c_3029,c_1052,c_684,c_666,c_567,c_454,c_397,c_332,c_298,c_276,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL196-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 22:17:44 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.43 Running first-order theorem proving
% 0.15/0.43 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
% 0.15/0.45
% 0.15/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.45
% 0.15/0.45 % Detected problem language: tptp
% 0.15/0.47 % Proving...
% 22.69/3.92 % SZS status Started for theBenchmark.p
% 22.69/3.92 % SZS status Unsatisfiable for theBenchmark.p
% 22.69/3.92
% 22.69/3.92 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 22.69/3.92
% 22.69/3.92 % ------ iProver source info
% 22.69/3.92
% 22.69/3.92 % git: date: 2026-07-19 20:42:38 +0200
% 22.69/3.92 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 22.69/3.92 % git: non_committed_changes: false
% 22.69/3.92
% 22.69/3.92 % ------ Parsing...% successful
% 22.69/3.92
% 22.69/3.92
% 22.69/3.92 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 22.69/3.92
% 22.69/3.92 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 22.69/3.92
% 22.69/3.92 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 22.69/3.92 % ------ Proving...
% 22.69/3.92 % ------ Problem Properties
% 22.69/3.92
% 22.69/3.92 %
% 22.69/3.92 % clauses 9
% 22.69/3.92 % conjectures 1
% 22.69/3.92 % EPR 1
% 22.69/3.92 % Horn 9
% 22.69/3.92 % unary 6
% 22.69/3.92 % binary 1
% 22.69/3.92 % lits 14
% 22.69/3.92 % lits eq 0
% 22.69/3.92 % fd_pure 0
% 22.69/3.92 % fd_pseudo 0
% 22.69/3.92 % fd_cond 0
% 22.69/3.92 % fd_pseudo_cond 0
% 22.69/3.92 % AC symbols 0
% 22.69/3.92
% 22.69/3.92 % ------ Input Options Time Limit: Unbounded
% 22.69/3.92
% 22.69/3.92
% 22.69/3.92 % ------
% 22.69/3.92 % Current options:
% 22.69/3.92 % ------
% 22.69/3.92
% 22.69/3.92
% 22.69/3.92 %
% 22.69/3.92
% 22.69/3.92 % ------ Proving...
% 22.69/3.92 %
% 22.69/3.92
% 22.69/3.92 % SZS status Unsatisfiable for theBenchmark.p
% 22.69/3.92
% 22.69/3.92 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 22.69/3.93
% 22.69/3.93
%------------------------------------------------------------------------------