%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD060-3 : 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 : n010.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 01:15:50 PM UTC 2026
% Result : Unsatisfiable 15.47s 3.30s
% Output : CNFRefutation 15.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 9 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 102 ( 52 ~; 50 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
fof(f19,axiom,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| sum(X0,X1,add(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_addition) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X0,X2)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',transitivity_of_order_relation) ).
fof(f24,axiom,
! [X2,X3,X0,X1,X4] :
( ~ sum(X3,X4,X1)
| ~ sum(X2,X4,X0)
| ~ less_or_equal(X2,X3)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f30,negated_conjecture,
~ less_or_equal(add(a,a),add(b,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_4) ).
tcf(c_79,plain,
defined(a),
inference(cnf_transformation,[],[f27]) ).
tcf(c_80,plain,
defined(b),
inference(cnf_transformation,[],[f28]) ).
tcf(c_81,negated_conjecture,
less_or_equal(a,b),
inference(cnf_transformation,[],[f29]) ).
tcf(c_82,negated_conjecture,
~ less_or_equal(add(a,a),add(b,b)),
inference(cnf_transformation,[],[f30]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( less_or_equal(X2,X4)
| ~ less_or_equal(X0,X3)
| ~ sum(X3,X1,X4)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( less_or_equal(X0,X2)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X1)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_302,plain,
! [X0: $i] :
( less_or_equal(add(a,a),add(b,b))
| ~ less_or_equal(X0,add(b,b))
| ~ less_or_equal(add(a,a),X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( less_or_equal(add(a,a),X3)
| ~ less_or_equal(X0,X2)
| ~ sum(X2,X1,X3)
| ~ sum(X0,X1,add(a,a)) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_317,plain,
( sum(a,a,add(a,a))
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( less_or_equal(X3,add(b,b))
| ~ less_or_equal(X2,X0)
| ~ sum(X2,X1,X3)
| ~ sum(X0,X1,add(b,b)) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_434,plain,
! [X0: $i,X1: $i] :
( less_or_equal(add(a,a),X1)
| ~ less_or_equal(a,X0)
| ~ sum(X0,a,X1)
| ~ sum(a,a,add(a,a)) ),
inference(instantiation,[status(thm)],[c_309]) ).
tcf(c_493,plain,
( sum(b,b,add(b,b))
| ~ defined(b) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_653,plain,
! [X0: $i] :
( less_or_equal(add(a,a),add(X0,a))
| ~ less_or_equal(a,X0)
| ~ sum(a,a,add(a,a))
| ~ sum(X0,a,add(X0,a)) ),
inference(instantiation,[status(thm)],[c_434]) ).
tcf(c_654,plain,
! [X0: $i] :
( sum(X0,a,add(X0,a))
| ~ defined(a)
| ~ defined(X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_1310,plain,
! [X0: $i,X1: $i] :
( sum(a,X0,X1)
| ~ sum(X0,a,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_1751,plain,
( less_or_equal(add(a,a),add(b,a))
| ~ less_or_equal(a,b)
| ~ sum(b,a,add(b,a))
| ~ sum(a,a,add(a,a)) ),
inference(instantiation,[status(thm)],[c_653]) ).
tcf(c_2114,plain,
( less_or_equal(add(a,a),add(b,b))
| ~ less_or_equal(add(b,a),add(b,b))
| ~ less_or_equal(add(a,a),add(b,a)) ),
inference(instantiation,[status(thm)],[c_302]) ).
tcf(c_2517,plain,
( sum(b,a,add(b,a))
| ~ defined(b)
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_654]) ).
tcf(c_3232,plain,
! [X0: $i] :
( sum(a,X0,add(X0,a))
| ~ sum(X0,a,add(X0,a)) ),
inference(instantiation,[status(thm)],[c_1310]) ).
tcf(c_5999,plain,
! [X0: $i,X1: $i] :
( less_or_equal(X1,add(b,b))
| ~ less_or_equal(X0,b)
| ~ sum(X0,b,X1)
| ~ sum(b,b,add(b,b)) ),
inference(instantiation,[status(thm)],[c_341]) ).
tcf(c_10261,plain,
( sum(a,b,add(b,a))
| ~ sum(b,a,add(b,a)) ),
inference(instantiation,[status(thm)],[c_3232]) ).
tcf(c_72854,plain,
( less_or_equal(add(b,a),add(b,b))
| ~ less_or_equal(a,b)
| ~ sum(b,b,add(b,b))
| ~ sum(a,b,add(b,a)) ),
inference(instantiation,[status(thm)],[c_5999]) ).
tcf(c_72856,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_72854,c_10261,c_2517,c_2114,c_1751,c_493,c_317,c_82,c_81,c_79,c_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD060-3 : 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 : n010.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 10:59:59 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...
% 15.47/3.30 % SZS status Started for theBenchmark.p
% 15.47/3.30 % SZS status Unsatisfiable for theBenchmark.p
% 15.47/3.30
% 15.47/3.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 15.47/3.30
% 15.47/3.30 % ------ iProver source info
% 15.47/3.30
% 15.47/3.30 % git: date: 2026-07-19 20:42:38 +0200
% 15.47/3.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 15.47/3.30 % git: non_committed_changes: false
% 15.47/3.30
% 15.47/3.30 % ------ Parsing...% successful
% 15.47/3.30
% 15.47/3.30
% 15.47/3.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 15.47/3.30
% 15.47/3.30 % ------ Preprocessing... sf_s rm: 6 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 15.47/3.30
% 15.47/3.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 15.47/3.30 % ------ Proving...
% 15.47/3.30 % ------ Problem Properties
% 15.47/3.30
% 15.47/3.30 %
% 15.47/3.30 % clauses 15
% 15.47/3.30 % conjectures 2
% 15.47/3.30 % EPR 12
% 15.47/3.30 % Horn 14
% 15.47/3.30 % unary 5
% 15.47/3.30 % binary 2
% 15.47/3.30 % lits 37
% 15.47/3.30 % lits eq 0
% 15.47/3.30 % fd_pure 0
% 15.47/3.30 % fd_pseudo 0
% 15.47/3.30 % fd_cond 0
% 15.47/3.30 % fd_pseudo_cond 0
% 15.47/3.30 % AC symbols 0
% 15.47/3.30
% 15.47/3.30 % ------ Schedule dynamic 5 is on
% 15.47/3.30
% 15.47/3.30 % ------ no equalities: superposition off
% 15.47/3.30
% 15.47/3.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 15.47/3.30
% 15.47/3.30
% 15.47/3.30 % ------
% 15.47/3.30 % Current options:
% 15.47/3.30 % ------
% 15.47/3.30
% 15.47/3.30
% 15.47/3.30 %
% 15.47/3.30
% 15.47/3.30 % ------ Proving...
% 15.47/3.30 %
% 15.47/3.30
% 15.47/3.30 % SZS status Unsatisfiable for theBenchmark.p
% 15.47/3.30
% 15.47/3.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.47/3.30
% 15.47/3.30
%------------------------------------------------------------------------------