%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL172-3 : TPTP v9.3.1. Released 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 02:05:50 PM UTC 2026
% Result : Unsatisfiable 1.13s 1.07s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 13 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
fof(f9,negated_conjecture,
~ theorem(implies(implies(p,implies(q,r)),implies(q,implies(p,r)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f13,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f16,plain,
~ theorem(or(not(or(not(p),or(not(q),r))),or(not(q),or(not(p),r)))),
inference(definition_unfolding,[],[f9,f6,f6,f6,f6,f6]) ).
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,[],[f13]) ).
tcf(c_63,plain,
! [X0: $i] :
( theorem(X0)
| ~ axiom(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_65,negated_conjecture,
~ theorem(or(not(or(not(p),or(not(q),r))),or(not(q),or(not(p),r)))),
inference(cnf_transformation,[],[f16]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[status(thm)],[c_63,c_61]) ).
tcf(c_123,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_65,c_109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL172-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Wed Sep 23 22:09:24 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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...
% 1.13/1.07 % SZS status Started for theBenchmark.p
% 1.13/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 1.13/1.07
% 1.13/1.07 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.13/1.07
% 1.13/1.07 % ------ iProver source info
% 1.13/1.07
% 1.13/1.07 % git: date: 2026-07-19 20:42:38 +0200
% 1.13/1.07 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.13/1.07 % git: non_committed_changes: false
% 1.13/1.07
% 1.13/1.07 % ------ Parsing...% successful
% 1.13/1.07
% 1.13/1.07
% 1.13/1.07 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.13/1.07
% 1.13/1.07 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s%
% 1.13/1.07
% 1.13/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 1.13/1.07
% 1.13/1.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.13/1.07
% 1.13/1.07
%------------------------------------------------------------------------------