%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL192-1 : 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 : 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 02:05:55 PM UTC 2026
% Result : Unsatisfiable 2.52s 6.08s
% Output : CNFRefutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 62 ( 32 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 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 : 41 ( 0 sgn 41 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
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(or(p,q),r)),or(p,or(q,r)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_58,negated_conjecture,
~ theorem(or(not(or(or(p,q),r)),or(p,or(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_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(or(p,q),r)),or(p,or(q,r))))
| ~ axiom(or(not(or(or(p,q),r)),X0))
| ~ theorem(or(not(X0),or(p,or(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_234,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(X1),or(p,or(q,r))))
| ~ axiom(or(not(X1),X0))
| ~ theorem(or(not(X0),or(p,or(q,r)))) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_257,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_232]) ).
tcf(c_304,plain,
! [X0: $i] :
( theorem(or(not(or(p,X0)),or(p,or(q,r))))
| ~ theorem(or(not(X0),or(q,r)))
| ~ axiom(or(not(or(not(X0),or(q,r))),or(not(or(p,X0)),or(p,or(q,r))))) ),
inference(instantiation,[status(thm)],[c_257]) ).
tcf(c_317,plain,
( theorem(or(not(or(p,or(r,q))),or(p,or(q,r))))
| ~ theorem(or(not(or(r,q)),or(q,r)))
| ~ axiom(or(not(or(not(or(r,q)),or(q,r))),or(not(or(p,or(r,q))),or(p,or(q,r))))) ),
inference(instantiation,[status(thm)],[c_304]) ).
tcf(c_318,plain,
( theorem(or(not(or(r,q)),or(q,r)))
| ~ axiom(or(not(or(r,q)),or(q,r))) ),
inference(instantiation,[status(thm)],[c_227]) ).
tcf(c_452,plain,
axiom(or(not(or(r,q)),or(q,r))),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_615,plain,
axiom(or(not(or(not(or(r,q)),or(q,r))),or(not(or(p,or(r,q))),or(p,or(q,r))))),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_788,plain,
( theorem(or(not(or(or(p,q),r)),or(p,or(q,r))))
| ~ axiom(or(not(or(or(p,q),r)),or(r,or(p,q))))
| ~ theorem(or(not(or(r,or(p,q))),or(p,or(q,r)))) ),
inference(instantiation,[status(thm)],[c_230]) ).
tcf(c_789,plain,
axiom(or(not(or(or(p,q),r)),or(r,or(p,q)))),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_1449,plain,
! [X0: $i] :
( theorem(or(not(or(r,or(p,q))),or(p,or(q,r))))
| ~ axiom(or(not(or(r,or(p,q))),X0))
| ~ theorem(or(not(X0),or(p,or(q,r)))) ),
inference(instantiation,[status(thm)],[c_234]) ).
tcf(c_3200,plain,
( theorem(or(not(or(r,or(p,q))),or(p,or(q,r))))
| ~ axiom(or(not(or(r,or(p,q))),or(p,or(r,q))))
| ~ theorem(or(not(or(p,or(r,q))),or(p,or(q,r)))) ),
inference(instantiation,[status(thm)],[c_1449]) ).
tcf(c_3201,plain,
axiom(or(not(or(r,or(p,q))),or(p,or(r,q)))),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_3202,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3201,c_3200,c_789,c_788,c_615,c_452,c_318,c_317,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL192-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.37 % Computer : n010.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Wed Sep 23 22:15:52 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.41 Running first-order theorem proving
% 0.13/5.41 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
% 0.13/5.42
% 0.13/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.42
% 0.13/5.42 % Detected problem language: tptp
% 0.13/5.43 % Proving...
% 2.52/6.08 % SZS status Started for theBenchmark.p
% 2.52/6.08 % SZS status Unsatisfiable for theBenchmark.p
% 2.52/6.08
% 2.52/6.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.52/6.08
% 2.52/6.08 % ------ iProver source info
% 2.52/6.08
% 2.52/6.08 % git: date: 2026-07-19 20:42:38 +0200
% 2.52/6.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.52/6.08 % git: non_committed_changes: false
% 2.52/6.08
% 2.52/6.08 % ------ Parsing...% successful
% 2.52/6.08
% 2.52/6.08
% 2.52/6.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.52/6.08
% 2.52/6.08 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.52/6.08
% 2.52/6.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.52/6.08 % ------ Proving...
% 2.52/6.08 % ------ Problem Properties
% 2.52/6.08
% 2.52/6.08 %
% 2.52/6.08 % clauses 9
% 2.52/6.08 % conjectures 1
% 2.52/6.08 % EPR 1
% 2.52/6.08 % Horn 9
% 2.52/6.08 % unary 6
% 2.52/6.08 % binary 1
% 2.52/6.08 % lits 14
% 2.52/6.08 % lits eq 0
% 2.52/6.08 % fd_pure 0
% 2.52/6.08 % fd_pseudo 0
% 2.52/6.08 % fd_cond 0
% 2.52/6.08 % fd_pseudo_cond 0
% 2.52/6.08 % AC symbols 0
% 2.52/6.08
% 2.52/6.08 % ------ Schedule dynamic 5 is on
% 2.52/6.08
% 2.52/6.08 % ------ no equalities: superposition off
% 2.52/6.08
% 2.52/6.08 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.52/6.08
% 2.52/6.08
% 2.52/6.08 % ------
% 2.52/6.08 % Current options:
% 2.52/6.08 % ------
% 2.52/6.08
% 2.52/6.08
% 2.52/6.08 %
% 2.52/6.08
% 2.52/6.08 % ------ Proving...
% 2.52/6.08 %
% 2.52/6.08
% 2.52/6.08 % SZS status Unsatisfiable for theBenchmark.p
% 2.52/6.08
% 2.52/6.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.52/6.08
% 2.52/6.08
%------------------------------------------------------------------------------