%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD033-3 : 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 : n005.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 01:15:43 PM UTC 2026
% Result : Unsatisfiable 3.45s 1.28s
% Output : CNFRefutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 14 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 72 ( 36 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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; 0-1 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
fof(f8,axiom,
! [X0] :
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
fof(f9,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,additive_identity)
| product(multiplicative_inverse(X0),X0,multiplicative_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(m),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_is_defined) ).
fof(f29,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
fof(f30,negated_conjecture,
product(m,a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_4) ).
fof(f31,negated_conjecture,
~ product(multiplicative_identity,m,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_5) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( product(X0,X4,X5)
| ~ product(X2,X3,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,plain,
! [X0: $i] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_88,plain,
! [X0: $i] :
( sum(additive_identity,X0,additive_identity)
| product(multiplicative_inverse(X0),X0,multiplicative_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,X0,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_106,plain,
defined(a),
inference(cnf_transformation,[],[f27]) ).
tcf(c_107,plain,
defined(m),
inference(cnf_transformation,[],[f28]) ).
tcf(c_108,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
inference(cnf_transformation,[],[f29]) ).
tcf(c_109,negated_conjecture,
product(m,a,a),
inference(cnf_transformation,[],[f30]) ).
tcf(c_110,negated_conjecture,
~ product(multiplicative_identity,m,multiplicative_identity),
inference(cnf_transformation,[],[f31]) ).
tcf(c_286,negated_conjecture,
product(m,a,a),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_287,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_293,plain,
! [X0: $i] :
( product(X0,multiplicative_identity,X0)
| ~ product(multiplicative_identity,X0,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(multiplicative_identity,X2,X3)
| ~ product(multiplicative_identity,X0,X0)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_434,plain,
! [X0: $i,X1: $i] :
( product(multiplicative_identity,m,multiplicative_identity)
| ~ product(multiplicative_identity,X0,X0)
| ~ product(X0,X1,multiplicative_identity)
| ~ product(X0,X1,m) ),
inference(instantiation,[status(thm)],[c_305]) ).
tcf(c_573,plain,
( product(multiplicative_identity,m,m)
| ~ defined(m) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_614,plain,
( product(multiplicative_identity,m,multiplicative_identity)
| ~ product(multiplicative_identity,m,m)
| ~ product(m,multiplicative_identity,multiplicative_identity)
| ~ product(m,multiplicative_identity,m) ),
inference(instantiation,[status(thm)],[c_434]) ).
tcf(c_615,plain,
( product(m,multiplicative_identity,m)
| ~ product(multiplicative_identity,m,m) ),
inference(instantiation,[status(thm)],[c_293]) ).
tcf(c_773,plain,
! [X0: $i] :
( sum(additive_identity,X0,additive_identity)
| product(X0,multiplicative_inverse(X0),multiplicative_identity)
| ~ defined(X0) ),
inference(superposition,[status(thm)],[c_88,c_89]) ).
tcf(c_2579,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(m,X1,X2)
| ~ product(a,X0,X2)
| ~ product(a,X0,X1) ),
inference(superposition,[status(thm)],[c_286,c_85]) ).
tcf(c_3454,plain,
! [X0: $i] :
( sum(additive_identity,a,additive_identity)
| product(m,multiplicative_identity,X0)
| ~ defined(a)
| ~ product(a,multiplicative_inverse(a),X0) ),
inference(superposition,[status(thm)],[c_773,c_2579]) ).
tcf(c_3460,plain,
! [X0: $i] :
( product(m,multiplicative_identity,X0)
| ~ product(a,multiplicative_inverse(a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3454,c_287,c_106]) ).
tcf(c_3579,plain,
( product(m,multiplicative_identity,multiplicative_identity)
| sum(additive_identity,a,additive_identity)
| ~ defined(a) ),
inference(superposition,[status(thm)],[c_773,c_3460]) ).
tcf(c_3580,plain,
product(m,multiplicative_identity,multiplicative_identity),
inference(forward_subsumption_resolution,[status(thm)],[c_3579,c_287,c_106]) ).
tcf(c_3583,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3580,c_615,c_614,c_573,c_110,c_107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD033-3 : 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 : n005.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 10:45:32 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
% 0.11/0.43 % Proving...
% 3.45/1.28 % SZS status Started for theBenchmark.p
% 3.45/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.45/1.28
% 3.45/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.45/1.28
% 3.45/1.28 % ------ iProver source info
% 3.45/1.28
% 3.45/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.45/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.45/1.28 % git: non_committed_changes: false
% 3.45/1.28
% 3.45/1.28 % ------ Parsing...% successful
% 3.45/1.28
% 3.45/1.28
% 3.45/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.45/1.28
% 3.45/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.45/1.28
% 3.45/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.45/1.28 % ------ Proving...
% 3.45/1.28 % ------ Problem Properties
% 3.45/1.28
% 3.45/1.28 %
% 3.45/1.28 % clauses 31
% 3.45/1.28 % conjectures 3
% 3.45/1.28 % EPR 23
% 3.45/1.28 % Horn 28
% 3.45/1.28 % unary 8
% 3.45/1.28 % binary 6
% 3.45/1.28 % lits 82
% 3.45/1.28 % lits eq 0
% 3.45/1.28 % fd_pure 0
% 3.45/1.28 % fd_pseudo 0
% 3.45/1.28 % fd_cond 0
% 3.45/1.28 % fd_pseudo_cond 0
% 3.45/1.28 % AC symbols 0
% 3.45/1.28
% 3.45/1.28 % ------ Schedule dynamic 5 is on
% 3.45/1.28
% 3.45/1.28 % ------ no equalities: superposition off
% 3.45/1.28
% 3.45/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.45/1.28
% 3.45/1.28
% 3.45/1.28 % ------
% 3.45/1.28 % Current options:
% 3.45/1.28 % ------
% 3.45/1.28
% 3.45/1.28
% 3.45/1.28 %
% 3.45/1.28
% 3.45/1.28 % ------ Proving...
% 3.45/1.28 %
% 3.45/1.28
% 3.45/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.45/1.28
% 3.45/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.45/1.29
% 3.45/1.29
%------------------------------------------------------------------------------