%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD071-4 : 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 : n005.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 1.86s 1.16s
% Output : CNFRefutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_multiplication) ).
fof(f30,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f31,negated_conjecture,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_5) ).
fof(f32,negated_conjecture,
product(a,b,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_6) ).
fof(f33,negated_conjecture,
~ less_or_equal(additive_identity,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_7) ).
tcf(c_106,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_111,negated_conjecture,
less_or_equal(additive_identity,a),
inference(cnf_transformation,[],[f30]) ).
tcf(c_112,negated_conjecture,
less_or_equal(additive_identity,b),
inference(cnf_transformation,[],[f31]) ).
tcf(c_113,negated_conjecture,
product(a,b,u),
inference(cnf_transformation,[],[f32]) ).
tcf(c_114,negated_conjecture,
~ less_or_equal(additive_identity,u),
inference(cnf_transformation,[],[f33]) ).
tcf(c_304,plain,
! [X0: $i,X1: $i] :
( less_or_equal(additive_identity,u)
| ~ less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X0)
| ~ product(X0,X1,u) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_335,plain,
( less_or_equal(additive_identity,u)
| ~ less_or_equal(additive_identity,b)
| ~ less_or_equal(additive_identity,a)
| ~ product(a,b,u) ),
inference(instantiation,[status(thm)],[c_304]) ).
tcf(c_336,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_335,c_113,c_114,c_111,c_112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD071-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 11:04:47 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 1.86/1.16 % SZS status Started for theBenchmark.p
% 1.86/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 1.86/1.16
% 1.86/1.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.86/1.16
% 1.86/1.16 % ------ iProver source info
% 1.86/1.16
% 1.86/1.16 % git: date: 2026-07-19 20:42:38 +0200
% 1.86/1.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.86/1.16 % git: non_committed_changes: false
% 1.86/1.16
% 1.86/1.16 % ------ Parsing...% successful
% 1.86/1.16
% 1.86/1.16
% 1.86/1.16 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.86/1.16
% 1.86/1.16 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.86/1.16
% 1.86/1.16 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.86/1.16 % ------ Proving...
% 1.86/1.16 % ------ Problem Properties
% 1.86/1.16
% 1.86/1.16 %
% 1.86/1.16 % clauses 33
% 1.86/1.16 % conjectures 4
% 1.86/1.16 % EPR 25
% 1.86/1.16 % Horn 30
% 1.86/1.16 % unary 10
% 1.86/1.16 % binary 6
% 1.86/1.16 % lits 84
% 1.86/1.16 % lits eq 0
% 1.86/1.16 % fd_pure 0
% 1.86/1.16 % fd_pseudo 0
% 1.86/1.16 % fd_cond 0
% 1.86/1.16 % fd_pseudo_cond 0
% 1.86/1.16 % AC symbols 0
% 1.86/1.16
% 1.86/1.16 % ------ Schedule dynamic 5 is on
% 1.86/1.16
% 1.86/1.16 % ------ no equalities: superposition off
% 1.86/1.16
% 1.86/1.16 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.86/1.16
% 1.86/1.16
% 1.86/1.16 % ------
% 1.86/1.16 % Current options:
% 1.86/1.16 % ------
% 1.86/1.16
% 1.86/1.16
% 1.86/1.16 %
% 1.86/1.16
% 1.86/1.16 % ------ Proving...
% 1.86/1.16 %
% 1.86/1.16
% 1.86/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 1.86/1.16
% 1.86/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.86/1.16
% 1.86/1.16
%------------------------------------------------------------------------------