%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL227-1 : 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 : n016.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 02:06:05 PM UTC 2026
% Result : Unsatisfiable 67.12s 10.26s
% Output : CNFRefutation 67.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 21 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 29 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 6 ( 6 usr; 4 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),or(not(r),s))),or(not(or(p,q)),or(not(or(p,r)),or(p,s))))),
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),or(not(r),s))),or(not(or(p,q)),or(not(or(p,r)),or(p,s))))),
inference(cnf_transformation,[],[f9]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[status(thm)],[c_60,c_63]) ).
tcf(c_136,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(resolution,[status(thm)],[c_64,c_58]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(resolution,[status(thm)],[c_64,c_59]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[c_64,c_60]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[c_61,c_64]) ).
tcf(c_235,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(not(or(X2,X0)),or(X2,X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[status(thm)],[c_62,c_64]) ).
tcf(c_245,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(not(X1),X2))
| ~ theorem(or(not(or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[c_65,c_59]) ).
tcf(c_247,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(not(or(X1,X0)),X2))
| ~ theorem(or(not(or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[c_65,c_60]) ).
tcf(c_248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( theorem(or(not(or(X1,or(X0,X2))),X3))
| ~ theorem(or(not(or(X0,or(X1,X2))),X3)) ),
inference(resolution,[status(thm)],[c_65,c_61]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( theorem(or(not(or(not(X1),X2)),X3))
| ~ theorem(or(not(or(not(or(X0,X1)),or(X0,X2))),X3)) ),
inference(resolution,[status(thm)],[c_65,c_62]) ).
tcf(c_518,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[c_221,c_138]) ).
tcf(c_1177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( theorem(or(not(or(X0,or(X3,X1))),or(X3,X2)))
| ~ theorem(or(not(or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[c_248,c_235]) ).
tcf(c_1402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( theorem(or(not(or(not(X3),X1)),or(not(or(X0,X3)),X2)))
| ~ theorem(or(not(or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[c_249,c_235]) ).
tcf(c_1518,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X0,X1),X1)) ),
inference(resolution,[status(thm)],[c_518,c_136]) ).
tcf(c_5705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( theorem(or(not(or(X3,X1)),or(X3,X2)))
| ~ theorem(or(not(or(X0,X1)),X2)) ),
inference(resolution,[status(thm)],[c_1177,c_245]) ).
tcf(c_5853,plain,
~ theorem(or(not(or(p,or(not(r),s))),or(not(or(p,r)),or(p,s)))),
inference(resolution,[status(thm)],[c_1402,c_66]) ).
tcf(c_5860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( theorem(or(not(or(X1,or(not(X4),X2))),or(not(or(X0,X4)),X3)))
| ~ theorem(or(not(or(X0,or(X1,X2))),X3)) ),
inference(resolution,[status(thm)],[c_1402,c_248]) ).
tcf(c_17839,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(not(or(X0,X1)),or(X0,or(X1,X2)))),
inference(resolution,[status(thm)],[c_5705,c_126]) ).
tcf(c_19226,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(X0,or(not(or(X0,X1)),or(X1,X2)))),
inference(resolution,[status(thm)],[c_17839,c_221]) ).
tcf(c_19519,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(or(not(or(X0,X1)),or(X1,X2)),X0)),
inference(resolution,[status(thm)],[c_19226,c_140]) ).
tcf(c_19946,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(or(X0,X1),X0)),or(X0,X1))),
inference(resolution,[status(thm)],[c_19519,c_1518]) ).
tcf(c_21484,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(X0,or(X0,X1))),or(X0,X1))),
inference(resolution,[status(thm)],[c_19946,c_247]) ).
tcf(c_36281,plain,
~ theorem(or(not(or(p,or(p,s))),or(p,s))),
inference(resolution,[status(thm)],[c_5860,c_5853]) ).
tcf(c_36490,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_36281,c_21484]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL227-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n016.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 22:32:42 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.43 % Proving...
% 67.12/10.26 % SZS status Started for theBenchmark.p
% 67.12/10.26 % SZS status Unsatisfiable for theBenchmark.p
% 67.12/10.26
% 67.12/10.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 67.12/10.26
% 67.12/10.26 % ------ iProver source info
% 67.12/10.26
% 67.12/10.26 % git: date: 2026-07-19 20:42:38 +0200
% 67.12/10.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 67.12/10.26 % git: non_committed_changes: false
% 67.12/10.26
% 67.12/10.26 % ------ Parsing...% successful
% 67.12/10.26
% 67.12/10.26
% 67.12/10.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 67.12/10.26
% 67.12/10.26 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 67.12/10.26
% 67.12/10.26 % ------ Preprocessing...
% 67.12/10.26 % ------ Proving...
% 67.12/10.26 % ------ Problem Properties
% 67.12/10.26
% 67.12/10.26 %
% 67.12/10.26 % clauses 9
% 67.12/10.26 % conjectures 1
% 67.12/10.26 % EPR 1
% 67.12/10.26 % Horn 9
% 67.12/10.26 % unary 6
% 67.12/10.26 % binary 1
% 67.12/10.26 % lits 14
% 67.12/10.26 % lits eq 0
% 67.12/10.26 % fd_pure 0
% 67.12/10.26 % fd_pseudo 0
% 67.12/10.26 % fd_cond 0
% 67.12/10.26 % fd_pseudo_cond 0
% 67.12/10.26 % AC symbols 0
% 67.12/10.26
% 67.12/10.26 % ------ Input Options Time Limit: Unbounded
% 67.12/10.26
% 67.12/10.26
% 67.12/10.26 % ------
% 67.12/10.26 % Current options:
% 67.12/10.26 % ------
% 67.12/10.26
% 67.12/10.26
% 67.12/10.26 %
% 67.12/10.26
% 67.12/10.26 % ------ Proving...
% 67.12/10.26 %
% 67.12/10.26
% 67.12/10.26 % SZS status Unsatisfiable for theBenchmark.p
% 67.12/10.26
% 67.12/10.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 67.12/10.26
% 67.12/10.26
%------------------------------------------------------------------------------