%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD058-1 : 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 : n004.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 01:15:49 PM UTC 2026
% Result : Unsatisfiable 0.19s 6.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 13 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 31 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_identity) ).
fof(f16,axiom,
! [X0,X1] :
( ~ less_or_equal(X1,X0)
| ~ less_or_equal(X0,X1)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',antisymmetry_of_order_relation) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X0,X2)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_order_relation) ).
fof(f18,axiom,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| less_or_equal(X1,X0)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',totality_of_order_relation) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
fof(f26,axiom,
! [X2,X0,X1] :
( ~ equalish(X2,X0)
| ~ less_or_equal(X2,X1)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_order_relation) ).
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(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f32,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_5) ).
fof(f33,negated_conjecture,
equalish(b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_equals_additive_identity_6) ).
tcf(c_92,plain,
defined(additive_identity),
inference(cnf_transformation,[],[f11]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( equalish(X0,X1)
| ~ less_or_equal(X1,X0)
| ~ less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_98,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,[],[f17]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( less_or_equal(X1,X0)
| less_or_equal(X0,X1)
| ~ defined(X1)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i,X2: $i] :
( less_or_equal(X2,X1)
| ~ equalish(X0,X2)
| ~ less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_111,negated_conjecture,
less_or_equal(additive_identity,a),
inference(cnf_transformation,[],[f30]) ).
tcf(c_112,negated_conjecture,
less_or_equal(a,b),
inference(cnf_transformation,[],[f31]) ).
tcf(c_113,negated_conjecture,
~ equalish(a,additive_identity),
inference(cnf_transformation,[],[f32]) ).
tcf(c_114,negated_conjecture,
equalish(b,additive_identity),
inference(cnf_transformation,[],[f33]) ).
tcf(c_123,plain,
( less_or_equal(additive_identity,additive_identity)
| ~ defined(additive_identity) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_291,negated_conjecture,
equalish(b,additive_identity),
inference(demodulation,[status(thm)],[c_114]) ).
tcf(c_299,plain,
( equalish(a,additive_identity)
| ~ less_or_equal(additive_identity,a)
| ~ less_or_equal(a,additive_identity) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_307,plain,
! [X0: $i] :
( less_or_equal(a,additive_identity)
| ~ less_or_equal(a,X0)
| ~ less_or_equal(X0,additive_identity) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_346,plain,
( less_or_equal(a,additive_identity)
| ~ less_or_equal(b,additive_identity)
| ~ less_or_equal(a,b) ),
inference(instantiation,[status(thm)],[c_307]) ).
tcf(c_417,plain,
! [X0: $i] :
( less_or_equal(b,additive_identity)
| ~ equalish(X0,b)
| ~ less_or_equal(X0,additive_identity) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_418,plain,
( less_or_equal(b,additive_identity)
| ~ equalish(additive_identity,b)
| ~ less_or_equal(additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_417]) ).
tcf(c_590,plain,
equalish(additive_identity,b),
inference(superposition,[status(thm)],[c_291,c_103]) ).
tcf(c_597,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_590,c_418,c_346,c_299,c_123,c_113,c_111,c_112,c_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD058-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.58 % Computer : n004.cluster.edu
% 0.09/5.58 % Model : x86_64 x86_64
% 0.09/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.58 % Memory : 8046.5625MB
% 0.09/5.58 % OS : Linux 6.8.0-71-generic
% 0.09/5.58 % CPULimit : 300
% 0.09/5.58 % WCLimit : 300
% 0.09/5.58 % DateTime : Fri Sep 25 10:58:12 UTC 2026
% 0.09/5.58 % CPUTime :
% 0.09/5.58 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.62 Running first-order theorem proving
% 0.13/5.62 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
% 0.13/5.63
% 0.13/5.63 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.63
% 0.13/5.63 % Detected problem language: tptp
% 0.13/5.65 % Proving...
% 0.19/6.49 % SZS status Started for theBenchmark.p
% 0.19/6.49 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/6.49
% 0.19/6.49 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.19/6.49
% 0.19/6.49 % ------ iProver source info
% 0.19/6.49
% 0.19/6.49 % git: date: 2026-07-19 20:42:38 +0200
% 0.19/6.49 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.19/6.49 % git: non_committed_changes: false
% 0.19/6.49
% 0.19/6.49 % ------ Parsing...% successful
% 0.19/6.49
% 0.19/6.49
% 0.19/6.49 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.19/6.49
% 0.19/6.49 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.19/6.49
% 0.19/6.49 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.19/6.49 % ------ Proving...
% 0.19/6.49 % ------ Problem Properties
% 0.19/6.49
% 0.19/6.49 %
% 0.19/6.49 % clauses 33
% 0.19/6.49 % conjectures 4
% 0.19/6.49 % EPR 16
% 0.19/6.49 % Horn 30
% 0.19/6.49 % unary 9
% 0.19/6.49 % binary 6
% 0.19/6.49 % lits 79
% 0.19/6.49 % lits eq 0
% 0.19/6.49 % fd_pure 0
% 0.19/6.49 % fd_pseudo 0
% 0.19/6.49 % fd_cond 0
% 0.19/6.49 % fd_pseudo_cond 0
% 0.19/6.49 % AC symbols 0
% 0.19/6.49
% 0.19/6.49 % ------ Schedule dynamic 5 is on
% 0.19/6.49
% 0.19/6.49 % ------ no equalities: superposition off
% 0.19/6.49
% 0.19/6.49 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.19/6.49
% 0.19/6.49
% 0.19/6.49 % ------
% 0.19/6.49 % Current options:
% 0.19/6.49 % ------
% 0.19/6.49
% 0.19/6.49
% 0.19/6.49 %
% 0.19/6.49
% 0.19/6.49 % ------ Proving...
% 0.19/6.49 %
% 0.19/6.49
% 0.19/6.49 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/6.49
% 0.19/6.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.19/6.49
% 0.19/6.49
%------------------------------------------------------------------------------