%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD060-1 : 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 : n015.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 2.67s 1.08s
% Output : CNFRefutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 9 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 78 ( 40 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| equalish(add(X0,X1),add(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',commutativity_addition) ).
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(f19,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X0,X2)
| ~ defined(X1)
| less_or_equal(add(X0,X1),add(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_order_relation_and_addition) ).
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(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f31,negated_conjecture,
~ less_or_equal(add(a,a),add(b,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_4) ).
tcf(c_80,plain,
defined(a),
inference(cnf_transformation,[],[f28]) ).
tcf(c_81,plain,
defined(b),
inference(cnf_transformation,[],[f29]) ).
tcf(c_82,negated_conjecture,
less_or_equal(a,b),
inference(cnf_transformation,[],[f30]) ).
tcf(c_83,negated_conjecture,
~ less_or_equal(add(a,a),add(b,b)),
inference(cnf_transformation,[],[f31]) ).
tcf(c_85,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_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( less_or_equal(add(X0,X2),add(X1,X2))
| ~ defined(X2)
| ~ less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_89,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_94,plain,
! [X0: $i,X1: $i] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X1)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_248,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_89]) ).
tcf(c_254,plain,
! [X0: $i] :
( less_or_equal(add(X0,b),add(b,b))
| ~ defined(b)
| ~ less_or_equal(X0,b) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i] :
( less_or_equal(X1,add(b,b))
| ~ equalish(X0,X1)
| ~ less_or_equal(X0,add(b,b)) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_261,plain,
! [X0: $i] :
( less_or_equal(add(a,a),add(b,b))
| ~ less_or_equal(add(a,a),add(X0,a))
| ~ less_or_equal(add(X0,a),add(b,b)) ),
inference(instantiation,[status(thm)],[c_248]) ).
tcf(c_262,plain,
! [X0: $i] :
( less_or_equal(add(a,a),add(X0,a))
| ~ defined(a)
| ~ less_or_equal(a,X0) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_271,plain,
( less_or_equal(add(a,b),add(b,b))
| ~ defined(b)
| ~ less_or_equal(a,b) ),
inference(instantiation,[status(thm)],[c_254]) ).
tcf(c_279,plain,
( less_or_equal(add(a,a),add(b,a))
| ~ defined(a)
| ~ less_or_equal(a,b) ),
inference(instantiation,[status(thm)],[c_262]) ).
tcf(c_316,plain,
! [X0: $i] :
( less_or_equal(X0,add(b,b))
| ~ equalish(add(a,b),X0)
| ~ less_or_equal(add(a,b),add(b,b)) ),
inference(instantiation,[status(thm)],[c_257]) ).
tcf(c_455,plain,
( less_or_equal(add(b,a),add(b,b))
| ~ equalish(add(a,b),add(b,a))
| ~ less_or_equal(add(a,b),add(b,b)) ),
inference(instantiation,[status(thm)],[c_316]) ).
tcf(c_456,plain,
( equalish(add(a,b),add(b,a))
| ~ defined(b)
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_942,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_261]) ).
tcf(c_943,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_942,c_456,c_455,c_279,c_271,c_83,c_82,c_80,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD060-1 : 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 : n015.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 11:02:28 UTC 2026
% 0.11/0.38 % 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 2.67/1.08 % SZS status Started for theBenchmark.p
% 2.67/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 2.67/1.08
% 2.67/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.67/1.08
% 2.67/1.08 % ------ iProver source info
% 2.67/1.08
% 2.67/1.08 % git: date: 2026-07-19 20:42:38 +0200
% 2.67/1.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.67/1.08 % git: non_committed_changes: false
% 2.67/1.08
% 2.67/1.08 % ------ Parsing...% successful
% 2.67/1.08
% 2.67/1.08
% 2.67/1.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.67/1.08
% 2.67/1.08 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.67/1.08
% 2.67/1.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.67/1.08 % ------ Proving...
% 2.67/1.08 % ------ Problem Properties
% 2.67/1.08
% 2.67/1.08 %
% 2.67/1.08 % clauses 24
% 2.67/1.08 % conjectures 2
% 2.67/1.08 % EPR 11
% 2.67/1.08 % Horn 23
% 2.67/1.08 % unary 5
% 2.67/1.08 % binary 3
% 2.67/1.08 % lits 63
% 2.67/1.08 % lits eq 0
% 2.67/1.08 % fd_pure 0
% 2.67/1.08 % fd_pseudo 0
% 2.67/1.08 % fd_cond 0
% 2.67/1.08 % fd_pseudo_cond 0
% 2.67/1.08 % AC symbols 0
% 2.67/1.08
% 2.67/1.08 % ------ Schedule dynamic 5 is on
% 2.67/1.08
% 2.67/1.08 % ------ no equalities: superposition off
% 2.67/1.08
% 2.67/1.08 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.67/1.08
% 2.67/1.08
% 2.67/1.08 % ------
% 2.67/1.08 % Current options:
% 2.67/1.08 % ------
% 2.67/1.08
% 2.67/1.08
% 2.67/1.08 %
% 2.67/1.08
% 2.67/1.08 % ------ Proving...
% 2.67/1.08 %
% 2.67/1.08
% 2.67/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 2.67/1.08
% 2.67/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.67/1.09
% 2.67/1.09
%------------------------------------------------------------------------------