%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD071-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 01:15:54 PM UTC 2026
% Result : Unsatisfiable 1.72s 1.07s
% Output : CNFRefutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 16 unt; 1 def)
% Number of atoms : 41 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| product(X0,X1,multiply(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_multiplication) ).
fof(f25,axiom,
! [X2,X0,X1] :
( ~ product(X1,X2,X0)
| ~ less_or_equal(additive_identity,X2)
| ~ less_or_equal(additive_identity,X1)
| less_or_equal(additive_identity,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f30,negated_conjecture,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f31,negated_conjecture,
~ less_or_equal(additive_identity,multiply(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_5) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( product(X0,X1,multiply(X0,X1))
| ~ defined(X1)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i] :
( less_or_equal(additive_identity,X2)
| ~ less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X0)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_106,plain,
defined(a),
inference(cnf_transformation,[],[f27]) ).
tcf(c_107,plain,
defined(b),
inference(cnf_transformation,[],[f28]) ).
tcf(c_108,negated_conjecture,
less_or_equal(additive_identity,a),
inference(cnf_transformation,[],[f29]) ).
tcf(c_109,negated_conjecture,
less_or_equal(additive_identity,b),
inference(cnf_transformation,[],[f30]) ).
tcf(c_110,negated_conjecture,
~ less_or_equal(additive_identity,multiply(a,b)),
inference(cnf_transformation,[],[f31]) ).
tcf(c_285,definition,
iPr_def_10 = multiply(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_286,negated_conjecture,
~ less_or_equal(additive_identity,iPr_def_10),
inference(demodulation,[status(thm)],[c_110,c_285]) ).
tcf(c_287,negated_conjecture,
less_or_equal(additive_identity,b),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_288,negated_conjecture,
less_or_equal(additive_identity,a),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_853,plain,
( product(a,b,iPr_def_10)
| ~ defined(b)
| ~ defined(a) ),
inference(superposition,[status(thm)],[c_285,c_99]) ).
tcf(c_855,plain,
product(a,b,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_853,c_107,c_106]) ).
tcf(c_1030,plain,
( less_or_equal(additive_identity,iPr_def_10)
| ~ less_or_equal(additive_identity,b)
| ~ less_or_equal(additive_identity,a) ),
inference(superposition,[status(thm)],[c_855,c_104]) ).
tcf(c_1032,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1030,c_286,c_287,c_288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : FLD071-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.05/0.31 % Computer : n012.cluster.edu
% 0.05/0.31 % Model : x86_64 x86_64
% 0.05/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31 % Memory : 8046.5625MB
% 0.05/0.31 % OS : Linux 6.8.0-71-generic
% 0.05/0.31 % CPULimit : 300
% 0.05/0.31 % WCLimit : 300
% 0.05/0.31 % DateTime : Fri Sep 25 11:04:50 UTC 2026
% 0.05/0.31 % CPUTime :
% 0.05/0.31 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34
% 0.07/0.34 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.34
% 0.07/0.34 % Detected problem language: tptp
% 0.07/0.35 % Proving...
% 1.72/1.07 % SZS status Started for theBenchmark.p
% 1.72/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 1.72/1.07
% 1.72/1.07 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.72/1.07
% 1.72/1.07 % ------ iProver source info
% 1.72/1.07
% 1.72/1.07 % git: date: 2026-07-19 20:42:38 +0200
% 1.72/1.07 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.72/1.07 % git: non_committed_changes: false
% 1.72/1.07
% 1.72/1.07 % ------ Parsing...% successful
% 1.72/1.07
% 1.72/1.07
% 1.72/1.07 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.72/1.07
% 1.72/1.07 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.72/1.07
% 1.72/1.07 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.72/1.07
% 1.72/1.07 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.72/1.07 % ------ Proving...
% 1.72/1.07 % ------ Problem Properties
% 1.72/1.07
% 1.72/1.07 %
% 1.72/1.07 % clauses 32
% 1.72/1.07 % conjectures 3
% 1.72/1.07 % EPR 23
% 1.72/1.07 % Horn 29
% 1.72/1.07 % unary 9
% 1.72/1.07 % binary 6
% 1.72/1.07 % lits 83
% 1.72/1.07 % lits eq 1
% 1.72/1.07 % fd_pure 0
% 1.72/1.07 % fd_pseudo 0
% 1.72/1.07 % fd_cond 0
% 1.72/1.07 % fd_pseudo_cond 0
% 1.72/1.07 % AC symbols 0
% 1.72/1.07
% 1.72/1.07 % ------ Schedule dynamic 5 is on
% 1.72/1.07
% 1.72/1.07 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.72/1.07
% 1.72/1.07
% 1.72/1.07 % ------
% 1.72/1.07 % Current options:
% 1.72/1.07 % ------
% 1.72/1.07
% 1.72/1.07
% 1.72/1.07 %
% 1.72/1.07
% 1.72/1.07 % ------ Proving...
% 1.72/1.07 %
% 1.72/1.07
% 1.72/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 1.72/1.07
% 1.72/1.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.72/1.07
% 1.72/1.07
%------------------------------------------------------------------------------