%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD071-1 : 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 : n020.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 1.91s 1.29s
% Output : CNFRefutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 11 unt; 1 def)
% Number of atoms : 23 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 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 : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0,X1] :
( ~ less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X0)
| less_or_equal(additive_identity,multiply(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_order_relation_and_multiplication) ).
fof(f30,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f31,negated_conjecture,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f32,negated_conjecture,
~ less_or_equal(additive_identity,multiply(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_5) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( less_or_equal(additive_identity,multiply(X0,X1))
| ~ less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X0) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_110,negated_conjecture,
less_or_equal(additive_identity,a),
inference(cnf_transformation,[],[f30]) ).
tcf(c_111,negated_conjecture,
less_or_equal(additive_identity,b),
inference(cnf_transformation,[],[f31]) ).
tcf(c_112,negated_conjecture,
~ less_or_equal(additive_identity,multiply(a,b)),
inference(cnf_transformation,[],[f32]) ).
tcf(c_287,definition,
iPr_def_10 = multiply(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_288,negated_conjecture,
~ less_or_equal(additive_identity,iPr_def_10),
inference(demodulation,[status(thm)],[c_112,c_287]) ).
tcf(c_289,negated_conjecture,
less_or_equal(additive_identity,b),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_290,negated_conjecture,
less_or_equal(additive_identity,a),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_1202,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_287,c_100]) ).
tcf(c_1206,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1202,c_288,c_289,c_290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD071-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 11:05:03 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 1.91/1.29 % SZS status Started for theBenchmark.p
% 1.91/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.91/1.29
% 1.91/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.91/1.29
% 1.91/1.29 % ------ iProver source info
% 1.91/1.29
% 1.91/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.91/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.91/1.29 % git: non_committed_changes: false
% 1.91/1.29
% 1.91/1.29 % ------ Parsing...% successful
% 1.91/1.29
% 1.91/1.29
% 1.91/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.91/1.29
% 1.91/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.91/1.29
% 1.91/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.91/1.29
% 1.91/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.91/1.29 % ------ Proving...
% 1.91/1.29 % ------ Problem Properties
% 1.91/1.29
% 1.91/1.29 %
% 1.91/1.29 % clauses 33
% 1.91/1.29 % conjectures 3
% 1.91/1.29 % EPR 15
% 1.91/1.29 % Horn 30
% 1.91/1.29 % unary 9
% 1.91/1.29 % binary 6
% 1.91/1.29 % lits 79
% 1.91/1.29 % lits eq 1
% 1.91/1.29 % fd_pure 0
% 1.91/1.29 % fd_pseudo 0
% 1.91/1.29 % fd_cond 0
% 1.91/1.29 % fd_pseudo_cond 0
% 1.91/1.29 % AC symbols 0
% 1.91/1.29
% 1.91/1.29 % ------ Schedule dynamic 5 is on
% 1.91/1.29
% 1.91/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.91/1.29
% 1.91/1.29
% 1.91/1.29 % ------
% 1.91/1.29 % Current options:
% 1.91/1.29 % ------
% 1.91/1.29
% 1.91/1.29
% 1.91/1.29 %
% 1.91/1.29
% 1.91/1.29 % ------ Proving...
% 1.91/1.29 %
% 1.91/1.29
% 1.91/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.91/1.29
% 1.91/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.91/1.30
% 1.91/1.30
%------------------------------------------------------------------------------