%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD065-3 : 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 : n008.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 01:15:52 PM UTC 2026
% Result : Unsatisfiable 3.10s 1.29s
% Output : CNFRefutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 11 unt; 1 def)
% Number of atoms : 41 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 33 ( 18 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
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/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,negated_conjecture,
less_or_equal(additive_inverse(a),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_2) ).
fof(f29,negated_conjecture,
~ less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_3) ).
tcf(c_80,plain,
! [X0: $i] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_81,plain,
! [X0: $i] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_101,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_104,plain,
defined(a),
inference(cnf_transformation,[],[f27]) ).
tcf(c_105,negated_conjecture,
less_or_equal(additive_inverse(a),additive_identity),
inference(cnf_transformation,[],[f28]) ).
tcf(c_106,negated_conjecture,
~ less_or_equal(additive_identity,a),
inference(cnf_transformation,[],[f29]) ).
tcf(c_277,definition,
iPr_def_10 = additive_inverse(a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_278,negated_conjecture,
~ less_or_equal(additive_identity,a),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_279,negated_conjecture,
less_or_equal(iPr_def_10,additive_identity),
inference(demodulation,[status(thm)],[c_105,c_277]) ).
tcf(c_736,plain,
( sum(iPr_def_10,a,additive_identity)
| ~ defined(a) ),
inference(superposition,[status(thm)],[c_277,c_81]) ).
tcf(c_737,plain,
sum(iPr_def_10,a,additive_identity),
inference(forward_subsumption_resolution,[status(thm)],[c_736,c_104]) ).
tcf(c_1188,plain,
! [X0: $i,X1: $i] :
( less_or_equal(additive_identity,X1)
| ~ less_or_equal(iPr_def_10,X0)
| ~ sum(X0,a,X1) ),
inference(superposition,[status(thm)],[c_737,c_101]) ).
tcf(c_2346,plain,
( less_or_equal(additive_identity,a)
| ~ defined(a)
| ~ less_or_equal(iPr_def_10,additive_identity) ),
inference(superposition,[status(thm)],[c_80,c_1188]) ).
tcf(c_2355,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2346,c_278,c_104,c_279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD065-3 : 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 : n008.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 11:02:24 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 3.10/1.29 % SZS status Started for theBenchmark.p
% 3.10/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.10/1.29
% 3.10/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.10/1.29
% 3.10/1.29 % ------ iProver source info
% 3.10/1.29
% 3.10/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 3.10/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.10/1.29 % git: non_committed_changes: false
% 3.10/1.29
% 3.10/1.29 % ------ Parsing...% successful
% 3.10/1.29
% 3.10/1.29
% 3.10/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.10/1.29
% 3.10/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.10/1.29
% 3.10/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.10/1.29
% 3.10/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.10/1.29 % ------ Proving...
% 3.10/1.29 % ------ Problem Properties
% 3.10/1.29
% 3.10/1.29 %
% 3.10/1.29 % clauses 30
% 3.10/1.29 % conjectures 2
% 3.10/1.29 % EPR 21
% 3.10/1.29 % Horn 27
% 3.10/1.29 % unary 7
% 3.10/1.29 % binary 6
% 3.10/1.29 % lits 81
% 3.10/1.29 % lits eq 1
% 3.10/1.29 % fd_pure 0
% 3.10/1.29 % fd_pseudo 0
% 3.10/1.29 % fd_cond 0
% 3.10/1.29 % fd_pseudo_cond 0
% 3.10/1.29 % AC symbols 0
% 3.10/1.29
% 3.10/1.29 % ------ Schedule dynamic 5 is on
% 3.10/1.29
% 3.10/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.10/1.29
% 3.10/1.29
% 3.10/1.29 % ------
% 3.10/1.29 % Current options:
% 3.10/1.29 % ------
% 3.10/1.29
% 3.10/1.29
% 3.10/1.29 %
% 3.10/1.29
% 3.10/1.29 % ------ Proving...
% 3.10/1.29 %
% 3.10/1.29
% 3.10/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 3.10/1.29
% 3.10/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.10/1.29
% 3.10/1.29
%------------------------------------------------------------------------------