%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD038-3 : 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 : n002.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 01:15:44 PM UTC 2026
% Result : Unsatisfiable 3.87s 1.30s
% Output : CNFRefutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 34 ( 17 unt; 1 def)
% Number of atoms : 83 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 74 ( 38 ~; 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 : 6 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?; 26 :)
% 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(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X5,X2)
| ~ product(X4,X1,X5)
| ~ product(X3,X4,X0)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).
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(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_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(b,multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_4) ).
fof(f31,negated_conjecture,
~ product(multiplicative_identity,a,b),
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_86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( product(X2,X5,X4)
| ~ product(X1,X5,X3)
| ~ product(X0,X3,X4)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
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(b),
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(b,multiplicative_inverse(a),multiplicative_identity),
inference(cnf_transformation,[],[f30]) ).
tcf(c_110,negated_conjecture,
~ product(multiplicative_identity,a,b),
inference(cnf_transformation,[],[f31]) ).
tcf(c_285,definition,
iPr_def_10 = multiplicative_inverse(a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_287,negated_conjecture,
product(b,iPr_def_10,multiplicative_identity),
inference(demodulation,[status(thm)],[c_109,c_285]) ).
tcf(c_288,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_762,plain,
product(iPr_def_10,b,multiplicative_identity),
inference(superposition,[status(thm)],[c_287,c_89]) ).
tcf(c_826,plain,
( product(iPr_def_10,a,multiplicative_identity)
| sum(additive_identity,a,additive_identity)
| ~ defined(a) ),
inference(superposition,[status(thm)],[c_285,c_88]) ).
tcf(c_828,plain,
product(iPr_def_10,a,multiplicative_identity),
inference(forward_subsumption_resolution,[status(thm)],[c_826,c_288,c_106]) ).
tcf(c_1232,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(b,X2,X1)
| ~ product(iPr_def_10,X0,X2)
| ~ product(multiplicative_identity,X0,X1) ),
inference(superposition,[status(thm)],[c_287,c_85]) ).
tcf(c_1288,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(multiplicative_identity,X2,X1)
| ~ product(b,iPr_def_10,multiplicative_identity)
| ~ product(iPr_def_10,X2,X0)
| ~ product(b,X0,X1) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_1356,plain,
! [X0: $i,X1: $i] :
( product(b,X1,X0)
| ~ defined(X0)
| ~ product(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_87,c_1232]) ).
tcf(c_1407,plain,
( product(b,multiplicative_identity,b)
| ~ defined(b) ),
inference(superposition,[status(thm)],[c_762,c_1356]) ).
tcf(c_1412,plain,
product(b,multiplicative_identity,b),
inference(forward_subsumption_resolution,[status(thm)],[c_1407,c_107]) ).
tcf(c_2021,plain,
! [X0: $i] :
( product(multiplicative_identity,a,b)
| ~ product(b,iPr_def_10,multiplicative_identity)
| ~ product(iPr_def_10,a,X0)
| ~ product(b,X0,b) ),
inference(instantiation,[status(thm)],[c_1288]) ).
tcf(c_3364,plain,
( product(multiplicative_identity,a,b)
| ~ product(iPr_def_10,a,multiplicative_identity)
| ~ product(b,iPr_def_10,multiplicative_identity)
| ~ product(b,multiplicative_identity,b) ),
inference(instantiation,[status(thm)],[c_2021]) ).
tcf(c_3366,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3364,c_1412,c_828,c_287,c_110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD038-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n002.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 25 10:50:05 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 3.87/1.30 % SZS status Started for theBenchmark.p
% 3.87/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.87/1.30
% 3.87/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.87/1.30
% 3.87/1.30 % ------ iProver source info
% 3.87/1.30
% 3.87/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 3.87/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.87/1.30 % git: non_committed_changes: false
% 3.87/1.30
% 3.87/1.30 % ------ Parsing...% successful
% 3.87/1.30
% 3.87/1.30
% 3.87/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.87/1.30
% 3.87/1.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.87/1.30
% 3.87/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.87/1.30
% 3.87/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.87/1.30 % ------ Proving...
% 3.87/1.30 % ------ Problem Properties
% 3.87/1.30
% 3.87/1.30 %
% 3.87/1.30 % clauses 32
% 3.87/1.30 % conjectures 3
% 3.87/1.30 % EPR 23
% 3.87/1.30 % Horn 29
% 3.87/1.30 % unary 9
% 3.87/1.30 % binary 6
% 3.87/1.30 % lits 83
% 3.87/1.30 % lits eq 1
% 3.87/1.30 % fd_pure 0
% 3.87/1.30 % fd_pseudo 0
% 3.87/1.30 % fd_cond 0
% 3.87/1.30 % fd_pseudo_cond 0
% 3.87/1.30 % AC symbols 0
% 3.87/1.30
% 3.87/1.30 % ------ Schedule dynamic 5 is on
% 3.87/1.30
% 3.87/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.87/1.30
% 3.87/1.30
% 3.87/1.30 % ------
% 3.87/1.30 % Current options:
% 3.87/1.30 % ------
% 3.87/1.30
% 3.87/1.30
% 3.87/1.30 %
% 3.87/1.30
% 3.87/1.30 % ------ Proving...
% 3.87/1.30 %
% 3.87/1.30
% 3.87/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.87/1.30
% 3.87/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.87/1.30
% 3.87/1.30
%------------------------------------------------------------------------------