%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD010-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n001.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 01:15:35 PM UTC 2026
% Result : Unsatisfiable 1.96s 1.28s
% Output : CNFRefutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 12 unt; 1 def)
% Number of atoms : 30 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,additive_identity)
| product(multiplicative_inverse(X0),X0,multiplicative_identity) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).
fof(f27,negated_conjecture,
~ sum(additive_identity,multiplicative_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_1) ).
fof(f28,negated_conjecture,
~ product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_2) ).
tcf(c_85,plain,
! [X0: $i] :
( sum(additive_identity,X0,additive_identity)
| product(multiplicative_inverse(X0),X0,multiplicative_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,X0,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_93,plain,
defined(multiplicative_identity),
inference(cnf_transformation,[],[f17]) ).
tcf(c_103,negated_conjecture,
~ sum(additive_identity,multiplicative_identity,additive_identity),
inference(cnf_transformation,[],[f27]) ).
tcf(c_104,negated_conjecture,
~ product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity),
inference(cnf_transformation,[],[f28]) ).
tcf(c_273,definition,
iPr_def_10 = multiplicative_inverse(multiplicative_identity),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_274,negated_conjecture,
~ product(multiplicative_identity,iPr_def_10,multiplicative_identity),
inference(demodulation,[status(thm)],[c_104,c_273]) ).
tcf(c_275,negated_conjecture,
~ sum(additive_identity,multiplicative_identity,additive_identity),
inference(demodulation,[status(thm)],[c_103]) ).
tcf(c_830,plain,
( product(iPr_def_10,multiplicative_identity,multiplicative_identity)
| sum(additive_identity,multiplicative_identity,additive_identity)
| ~ defined(multiplicative_identity) ),
inference(superposition,[status(thm)],[c_273,c_85]) ).
tcf(c_832,plain,
product(iPr_def_10,multiplicative_identity,multiplicative_identity),
inference(forward_subsumption_resolution,[status(thm)],[c_830,c_275,c_93]) ).
tcf(c_836,plain,
product(multiplicative_identity,iPr_def_10,multiplicative_identity),
inference(superposition,[status(thm)],[c_832,c_86]) ).
tcf(c_837,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_836,c_274]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD010-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n001.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 : Fri Sep 25 10:40:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.96/1.28 % SZS status Started for theBenchmark.p
% 1.96/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.96/1.28
% 1.96/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.96/1.28
% 1.96/1.28 % ------ iProver source info
% 1.96/1.28
% 1.96/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.96/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.96/1.28 % git: non_committed_changes: false
% 1.96/1.28
% 1.96/1.28 % ------ Parsing...% successful
% 1.96/1.28
% 1.96/1.28
% 1.96/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.96/1.28
% 1.96/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.96/1.28
% 1.96/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.96/1.28
% 1.96/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.96/1.28 % ------ Proving...
% 1.96/1.28 % ------ Problem Properties
% 1.96/1.28
% 1.96/1.28 %
% 1.96/1.28 % clauses 29
% 1.96/1.28 % conjectures 2
% 1.96/1.28 % EPR 20
% 1.96/1.28 % Horn 26
% 1.96/1.28 % unary 6
% 1.96/1.28 % binary 6
% 1.96/1.28 % lits 80
% 1.96/1.28 % lits eq 1
% 1.96/1.28 % fd_pure 0
% 1.96/1.28 % fd_pseudo 0
% 1.96/1.28 % fd_cond 0
% 1.96/1.28 % fd_pseudo_cond 0
% 1.96/1.28 % AC symbols 0
% 1.96/1.28
% 1.96/1.28 % ------ Schedule dynamic 5 is on
% 1.96/1.28
% 1.96/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.96/1.28
% 1.96/1.28
% 1.96/1.28 % ------
% 1.96/1.28 % Current options:
% 1.96/1.28 % ------
% 1.96/1.28
% 1.96/1.28
% 1.96/1.28 %
% 1.96/1.28
% 1.96/1.28 % ------ Proving...
% 1.96/1.28 %
% 1.96/1.28
% 1.96/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.96/1.28
% 1.96/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.96/1.28
% 1.96/1.28
%------------------------------------------------------------------------------