%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD061-3 : 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 : n009.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 01:15:51 PM UTC 2026
% Result : Unsatisfiable 7.38s 1.77s
% Output : CNFRefutation 7.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 15 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 108 ( 55 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 46 !; 0 ?; 33 :)
% 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,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f30,axiom,
defined(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).
fof(f31,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_5) ).
fof(f32,negated_conjecture,
less_or_equal(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_6) ).
fof(f33,negated_conjecture,
~ less_or_equal(add(a,c),add(d,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_7) ).
tcf(c_82,plain,
defined(a),
inference(cnf_transformation,[],[f27]) ).
tcf(c_83,plain,
defined(b),
inference(cnf_transformation,[],[f28]) ).
tcf(c_84,plain,
defined(c),
inference(cnf_transformation,[],[f29]) ).
tcf(c_85,plain,
defined(d),
inference(cnf_transformation,[],[f30]) ).
tcf(c_86,negated_conjecture,
less_or_equal(a,b),
inference(cnf_transformation,[],[f31]) ).
tcf(c_87,negated_conjecture,
less_or_equal(c,d),
inference(cnf_transformation,[],[f32]) ).
tcf(c_88,negated_conjecture,
~ less_or_equal(add(a,c),add(d,b)),
inference(cnf_transformation,[],[f33]) ).
tcf(c_90,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_92,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_94,plain,
! [X0: $i,X1: $i] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X1)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_320,plain,
! [X0: $i] :
( less_or_equal(add(a,c),add(d,b))
| ~ less_or_equal(X0,add(d,b))
| ~ less_or_equal(add(a,c),X0) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( less_or_equal(add(a,c),X3)
| ~ less_or_equal(X0,X2)
| ~ sum(X2,X1,X3)
| ~ sum(X0,X1,add(a,c)) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_333,plain,
! [X0: $i,X1: $i] :
( sum(X1,X0,add(a,c))
| ~ sum(X0,X1,add(a,c)) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_335,plain,
( sum(a,c,add(a,c))
| ~ defined(c)
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_358,plain,
( sum(c,a,add(a,c))
| ~ sum(a,c,add(a,c)) ),
inference(instantiation,[status(thm)],[c_333]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( less_or_equal(X3,add(d,b))
| ~ less_or_equal(X2,X0)
| ~ sum(X2,X1,X3)
| ~ sum(X0,X1,add(d,b)) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_477,plain,
! [X0: $i,X1: $i] :
( less_or_equal(add(a,c),X1)
| ~ less_or_equal(c,X0)
| ~ sum(X0,a,X1)
| ~ sum(c,a,add(a,c)) ),
inference(instantiation,[status(thm)],[c_327]) ).
tcf(c_525,plain,
! [X0: $i,X1: $i] :
( sum(X1,X0,add(d,b))
| ~ sum(X0,X1,add(d,b)) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_527,plain,
( sum(d,b,add(d,b))
| ~ defined(d)
| ~ defined(b) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_800,plain,
! [X0: $i] :
( less_or_equal(add(a,c),X0)
| ~ less_or_equal(c,d)
| ~ sum(d,a,X0)
| ~ sum(c,a,add(a,c)) ),
inference(instantiation,[status(thm)],[c_477]) ).
tcf(c_1146,plain,
( less_or_equal(add(a,c),add(d,a))
| ~ less_or_equal(c,d)
| ~ sum(d,a,add(d,a))
| ~ sum(c,a,add(a,c)) ),
inference(instantiation,[status(thm)],[c_800]) ).
tcf(c_1147,plain,
( sum(d,a,add(d,a))
| ~ defined(d)
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_1230,plain,
( sum(b,d,add(d,b))
| ~ sum(d,b,add(d,b)) ),
inference(instantiation,[status(thm)],[c_525]) ).
tcf(c_2555,plain,
! [X0: $i,X1: $i] :
( sum(a,X0,X1)
| ~ sum(X0,a,X1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_2696,plain,
( less_or_equal(add(a,c),add(d,b))
| ~ less_or_equal(add(d,a),add(d,b))
| ~ less_or_equal(add(a,c),add(d,a)) ),
inference(instantiation,[status(thm)],[c_320]) ).
tcf(c_3012,plain,
! [X0: $i,X1: $i] :
( less_or_equal(X1,add(d,b))
| ~ less_or_equal(X0,b)
| ~ sum(X0,d,X1)
| ~ sum(b,d,add(d,b)) ),
inference(instantiation,[status(thm)],[c_372]) ).
tcf(c_10994,plain,
( sum(a,d,add(d,a))
| ~ sum(d,a,add(d,a)) ),
inference(instantiation,[status(thm)],[c_2555]) ).
tcf(c_14842,plain,
( less_or_equal(add(d,a),add(d,b))
| ~ less_or_equal(a,b)
| ~ sum(b,d,add(d,b))
| ~ sum(a,d,add(d,a)) ),
inference(instantiation,[status(thm)],[c_3012]) ).
tcf(c_14843,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_14842,c_10994,c_2696,c_1230,c_1147,c_1146,c_527,c_358,c_335,c_88,c_86,c_87,c_82,c_83,c_84,c_85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD061-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n009.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Fri Sep 25 11:00:30 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 7.38/1.77 % SZS status Started for theBenchmark.p
% 7.38/1.77 % SZS status Unsatisfiable for theBenchmark.p
% 7.38/1.77
% 7.38/1.77 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.38/1.77
% 7.38/1.77 % ------ iProver source info
% 7.38/1.77
% 7.38/1.77 % git: date: 2026-07-19 20:42:38 +0200
% 7.38/1.77 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.38/1.77 % git: non_committed_changes: false
% 7.38/1.77
% 7.38/1.77 % ------ Parsing...% successful
% 7.38/1.77
% 7.38/1.77
% 7.38/1.77 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.38/1.77
% 7.38/1.77 % ------ Preprocessing... sf_s rm: 6 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 7.38/1.77
% 7.38/1.77 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.38/1.77 % ------ Proving...
% 7.38/1.77 % ------ Problem Properties
% 7.38/1.77
% 7.38/1.77 %
% 7.38/1.77 % clauses 18
% 7.38/1.77 % conjectures 3
% 7.38/1.77 % EPR 15
% 7.38/1.77 % Horn 17
% 7.38/1.77 % unary 8
% 7.38/1.77 % binary 2
% 7.38/1.77 % lits 40
% 7.38/1.77 % lits eq 0
% 7.38/1.77 % fd_pure 0
% 7.38/1.77 % fd_pseudo 0
% 7.38/1.77 % fd_cond 0
% 7.38/1.77 % fd_pseudo_cond 0
% 7.38/1.77 % AC symbols 0
% 7.38/1.77
% 7.38/1.77 % ------ Schedule dynamic 5 is on
% 7.38/1.77
% 7.38/1.77 % ------ no equalities: superposition off
% 7.38/1.77
% 7.38/1.77 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.38/1.77
% 7.38/1.77
% 7.38/1.77 % ------
% 7.38/1.77 % Current options:
% 7.38/1.77 % ------
% 7.38/1.77
% 7.38/1.77
% 7.38/1.77 %
% 7.38/1.77
% 7.38/1.77 % ------ Proving...
% 7.38/1.77 %
% 7.38/1.77
% 7.38/1.77 % SZS status Unsatisfiable for theBenchmark.p
% 7.38/1.77
% 7.38/1.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.38/1.78
% 7.38/1.78
%------------------------------------------------------------------------------