%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD066-3 : 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 : 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 01:15:52 PM UTC 2026
% Result : Unsatisfiable 26.44s 4.32s
% Output : CNFRefutation 26.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of formulae : 49 ( 17 unt; 0 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 134 ( 68 ~; 66 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 74 ( 0 sgn 74 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X2)
| ~ sum(X4,X1,X5)
| ~ sum(X3,X4,X0)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_2) ).
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(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_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,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f32,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).
fof(f33,negated_conjecture,
sum(b,c,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_7) ).
fof(f34,negated_conjecture,
less_or_equal(u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_8) ).
fof(f35,negated_conjecture,
~ less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_9) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sum(X0,X4,X5)
| ~ sum(X2,X3,X5)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sum(X2,X5,X4)
| ~ sum(X1,X5,X3)
| ~ sum(X0,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_86,plain,
! [X0: $i] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_87,plain,
! [X0: $i] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X1,X0,X2)
| ~ sum(X0,X1,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_107,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_110,plain,
defined(a),
inference(cnf_transformation,[],[f27]) ).
tcf(c_111,plain,
defined(b),
inference(cnf_transformation,[],[f28]) ).
tcf(c_112,plain,
defined(c),
inference(cnf_transformation,[],[f29]) ).
tcf(c_115,negated_conjecture,
sum(a,c,u),
inference(cnf_transformation,[],[f32]) ).
tcf(c_116,negated_conjecture,
sum(b,c,v),
inference(cnf_transformation,[],[f33]) ).
tcf(c_117,negated_conjecture,
less_or_equal(u,v),
inference(cnf_transformation,[],[f34]) ).
tcf(c_118,negated_conjecture,
~ less_or_equal(a,b),
inference(cnf_transformation,[],[f35]) ).
tcf(c_303,negated_conjecture,
sum(b,c,v),
inference(demodulation,[status(thm)],[c_116]) ).
tcf(c_310,plain,
! [X0: $i,X1: $i,X2: $i] :
( less_or_equal(a,b)
| ~ less_or_equal(X0,X2)
| ~ sum(X2,X1,b)
| ~ sum(X0,X1,a) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_336,plain,
( sum(additive_identity,a,a)
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_338,plain,
! [X0: $i,X1: $i] :
( sum(X1,X0,a)
| ~ sum(X0,X1,a) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sum(X2,X3,a)
| ~ sum(X0,X4,a)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_476,plain,
( sum(a,additive_identity,a)
| ~ sum(additive_identity,a,a) ),
inference(instantiation,[status(thm)],[c_338]) ).
tcf(c_543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sum(X0,X4,b)
| ~ sum(X2,X3,b)
| ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_545,plain,
( sum(additive_identity,b,b)
| ~ defined(b) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_547,plain,
! [X0: $i,X1: $i] :
( sum(X1,X0,b)
| ~ sum(X0,X1,b) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_653,plain,
sum(c,b,v),
inference(superposition,[status(thm)],[c_303,c_88]) ).
tcf(c_2254,plain,
! [X0: $i,X1: $i,X2: $i] :
( sum(X0,X2,b)
| ~ sum(additive_identity,b,b)
| ~ sum(X1,b,X2)
| ~ sum(X0,X1,additive_identity) ),
inference(instantiation,[status(thm)],[c_543]) ).
tcf(c_20887,plain,
! [X0: $i] :
( sum(X0,v,b)
| ~ sum(additive_identity,b,b)
| ~ sum(c,b,v)
| ~ sum(X0,c,additive_identity) ),
inference(instantiation,[status(thm)],[c_2254]) ).
tcf(c_21117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sum(X3,X1,a)
| ~ sum(a,X2,a)
| ~ sum(a,X0,X3)
| ~ sum(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_344]) ).
tcf(c_31024,plain,
! [X0: $i,X1: $i] :
( sum(c,X0,X1)
| ~ sum(X0,c,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_31213,plain,
( sum(additive_inverse(c),v,b)
| ~ sum(additive_identity,b,b)
| ~ sum(c,b,v)
| ~ sum(additive_inverse(c),c,additive_identity) ),
inference(instantiation,[status(thm)],[c_20887]) ).
tcf(c_31214,plain,
( sum(additive_inverse(c),c,additive_identity)
| ~ defined(c) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_34554,plain,
! [X0: $i,X1: $i] :
( sum(u,X0,a)
| ~ sum(a,c,u)
| ~ sum(a,X1,a)
| ~ sum(c,X0,X1) ),
inference(instantiation,[status(thm)],[c_21117]) ).
tcf(c_43182,plain,
( sum(v,additive_inverse(c),b)
| ~ sum(additive_inverse(c),v,b) ),
inference(instantiation,[status(thm)],[c_547]) ).
tcf(c_43301,plain,
( sum(c,additive_inverse(c),additive_identity)
| ~ sum(additive_inverse(c),c,additive_identity) ),
inference(instantiation,[status(thm)],[c_31024]) ).
tcf(c_56619,plain,
( sum(u,additive_inverse(c),a)
| ~ sum(a,additive_identity,a)
| ~ sum(a,c,u)
| ~ sum(c,additive_inverse(c),additive_identity) ),
inference(instantiation,[status(thm)],[c_34554]) ).
tcf(c_62371,plain,
! [X0: $i] :
( less_or_equal(a,b)
| ~ less_or_equal(X0,v)
| ~ sum(v,additive_inverse(c),b)
| ~ sum(X0,additive_inverse(c),a) ),
inference(instantiation,[status(thm)],[c_310]) ).
tcf(c_71352,plain,
( less_or_equal(a,b)
| ~ less_or_equal(u,v)
| ~ sum(v,additive_inverse(c),b)
| ~ sum(u,additive_inverse(c),a) ),
inference(instantiation,[status(thm)],[c_62371]) ).
tcf(c_71355,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_71352,c_56619,c_43301,c_43182,c_31214,c_31213,c_653,c_545,c_476,c_336,c_115,c_118,c_117,c_110,c_111,c_112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD066-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.37 % Computer : n009.cluster.edu
% 0.07/0.37 % Model : x86_64 x86_64
% 0.07/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.37 % Memory : 8046.5625MB
% 0.07/0.37 % OS : Linux 6.8.0-71-generic
% 0.07/0.37 % CPULimit : 300
% 0.07/0.37 % WCLimit : 300
% 0.07/0.37 % DateTime : Fri Sep 25 11:02:00 UTC 2026
% 0.07/0.37 % CPUTime :
% 0.07/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.41 Running first-order theorem proving
% 0.07/0.41 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
% 0.07/0.42
% 0.07/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.42
% 0.07/0.43 % Detected problem language: tptp
% 0.07/0.45 % Proving...
% 26.44/4.32 % SZS status Started for theBenchmark.p
% 26.44/4.32 % SZS status Unsatisfiable for theBenchmark.p
% 26.44/4.32
% 26.44/4.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 26.44/4.32
% 26.44/4.32 % ------ iProver source info
% 26.44/4.32
% 26.44/4.32 % git: date: 2026-07-19 20:42:38 +0200
% 26.44/4.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 26.44/4.32 % git: non_committed_changes: false
% 26.44/4.32
% 26.44/4.32 % ------ Parsing...% successful
% 26.44/4.32
% 26.44/4.32
% 26.44/4.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 26.44/4.32
% 26.44/4.32 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 26.44/4.32
% 26.44/4.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 26.44/4.32 % ------ Proving...
% 26.44/4.32 % ------ Problem Properties
% 26.44/4.32
% 26.44/4.32 %
% 26.44/4.32 % clauses 35
% 26.44/4.32 % conjectures 4
% 26.44/4.32 % EPR 27
% 26.44/4.32 % Horn 32
% 26.44/4.32 % unary 12
% 26.44/4.32 % binary 6
% 26.44/4.32 % lits 86
% 26.44/4.32 % lits eq 0
% 26.44/4.32 % fd_pure 0
% 26.44/4.32 % fd_pseudo 0
% 26.44/4.32 % fd_cond 0
% 26.44/4.32 % fd_pseudo_cond 0
% 26.44/4.32 % AC symbols 0
% 26.44/4.32
% 26.44/4.32 % ------ Schedule dynamic 5 is on
% 26.44/4.32
% 26.44/4.32 % ------ no equalities: superposition off
% 26.44/4.32
% 26.44/4.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 26.44/4.32
% 26.44/4.32
% 26.44/4.32 % ------
% 26.44/4.32 % Current options:
% 26.44/4.32 % ------
% 26.44/4.32
% 26.44/4.32
% 26.44/4.32 %
% 26.44/4.32
% 26.44/4.32 % ------ Proving...
% 26.44/4.32 %
% 26.44/4.32
% 26.44/4.32 % SZS status Unsatisfiable for theBenchmark.p
% 26.44/4.32
% 26.44/4.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 26.44/4.32
% 26.44/4.32
%------------------------------------------------------------------------------