%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD025-5 : 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 : n006.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 01:15:40 PM UTC 2026
% Result : Unsatisfiable 3.69s 1.27s
% Output : CNFRefutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 13 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 94 ( 48 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 46 ( 0 sgn 46 !; 0 ?; 30 :)
% 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/sandbox/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/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).
fof(f8,axiom,
! [X0] :
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f33,negated_conjecture,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_7) ).
fof(f34,negated_conjecture,
product(multiplicative_identity,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_8) ).
fof(f35,negated_conjecture,
product(a,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_9) ).
fof(f36,negated_conjecture,
product(d,b,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_10) ).
fof(f37,negated_conjecture,
~ product(multiplicative_identity,u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_11) ).
tcf(c_91,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_92,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_93,plain,
! [X0: $i] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(X1,X0,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_114,plain,
defined(c),
inference(cnf_transformation,[],[f29]) ).
tcf(c_118,negated_conjecture,
product(multiplicative_identity,a,b),
inference(cnf_transformation,[],[f33]) ).
tcf(c_119,negated_conjecture,
product(multiplicative_identity,c,d),
inference(cnf_transformation,[],[f34]) ).
tcf(c_120,negated_conjecture,
product(a,c,u),
inference(cnf_transformation,[],[f35]) ).
tcf(c_121,negated_conjecture,
product(d,b,v),
inference(cnf_transformation,[],[f36]) ).
tcf(c_122,negated_conjecture,
~ product(multiplicative_identity,u,v),
inference(cnf_transformation,[],[f37]) ).
tcf(c_316,plain,
( product(c,a,u)
| ~ product(a,c,u) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_318,plain,
! [X0: $i] :
( product(X0,multiplicative_identity,X0)
| ~ product(multiplicative_identity,X0,X0) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_323,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(multiplicative_identity,X1,X2)
| ~ product(multiplicative_identity,c,d)
| ~ product(d,X0,X2)
| ~ product(c,X0,X1) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_333,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(d,X0,X2)
| ~ product(multiplicative_identity,c,d)
| ~ product(multiplicative_identity,X1,X2)
| ~ product(c,X0,X1) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_384,plain,
! [X0: $i] :
( product(multiplicative_identity,u,v)
| ~ product(multiplicative_identity,c,d)
| ~ product(d,X0,v)
| ~ product(c,X0,u) ),
inference(instantiation,[status(thm)],[c_323]) ).
tcf(c_450,plain,
( product(multiplicative_identity,c,c)
| ~ defined(c) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( product(X0,X3,X2)
| ~ product(multiplicative_identity,X3,X1)
| ~ product(X0,multiplicative_identity,X0)
| ~ product(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_483,plain,
( product(c,multiplicative_identity,c)
| ~ product(multiplicative_identity,c,c) ),
inference(instantiation,[status(thm)],[c_318]) ).
tcf(c_484,plain,
! [X0: $i] :
( product(d,multiplicative_identity,X0)
| ~ product(multiplicative_identity,c,d)
| ~ product(c,multiplicative_identity,c)
| ~ product(multiplicative_identity,c,X0) ),
inference(instantiation,[status(thm)],[c_333]) ).
tcf(c_936,plain,
( product(multiplicative_identity,u,v)
| ~ product(multiplicative_identity,c,d)
| ~ product(d,a,v)
| ~ product(c,a,u) ),
inference(instantiation,[status(thm)],[c_384]) ).
tcf(c_1836,plain,
( product(d,multiplicative_identity,d)
| ~ product(multiplicative_identity,c,d)
| ~ product(c,multiplicative_identity,c) ),
inference(instantiation,[status(thm)],[c_484]) ).
tcf(c_5538,plain,
! [X0: $i] :
( product(d,X0,v)
| ~ product(d,multiplicative_identity,d)
| ~ product(d,b,v)
| ~ product(multiplicative_identity,X0,b) ),
inference(instantiation,[status(thm)],[c_474]) ).
tcf(c_7092,plain,
( product(d,a,v)
| ~ product(multiplicative_identity,a,b)
| ~ product(d,multiplicative_identity,d)
| ~ product(d,b,v) ),
inference(instantiation,[status(thm)],[c_5538]) ).
tcf(c_7093,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7092,c_1836,c_936,c_483,c_450,c_316,c_122,c_118,c_119,c_120,c_121,c_114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD025-5 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 10:41:40 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 3.69/1.27 % SZS status Started for theBenchmark.p
% 3.69/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.69/1.27
% 3.69/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.69/1.27
% 3.69/1.27 % ------ iProver source info
% 3.69/1.27
% 3.69/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 3.69/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.69/1.27 % git: non_committed_changes: false
% 3.69/1.27
% 3.69/1.27 % ------ Parsing...% successful
% 3.69/1.27
% 3.69/1.27
% 3.69/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.69/1.27
% 3.69/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.69/1.27
% 3.69/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.69/1.27 % ------ Proving...
% 3.69/1.27 % ------ Problem Properties
% 3.69/1.27
% 3.69/1.27 %
% 3.69/1.27 % clauses 37
% 3.69/1.27 % conjectures 5
% 3.69/1.27 % EPR 29
% 3.69/1.27 % Horn 34
% 3.69/1.27 % unary 14
% 3.69/1.27 % binary 6
% 3.69/1.27 % lits 88
% 3.69/1.27 % lits eq 0
% 3.69/1.27 % fd_pure 0
% 3.69/1.27 % fd_pseudo 0
% 3.69/1.27 % fd_cond 0
% 3.69/1.27 % fd_pseudo_cond 0
% 3.69/1.27 % AC symbols 0
% 3.69/1.27
% 3.69/1.27 % ------ Schedule dynamic 5 is on
% 3.69/1.27
% 3.69/1.27 % ------ no equalities: superposition off
% 3.69/1.27
% 3.69/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.69/1.27
% 3.69/1.27
% 3.69/1.27 % ------
% 3.69/1.27 % Current options:
% 3.69/1.27 % ------
% 3.69/1.27
% 3.69/1.27
% 3.69/1.27 %
% 3.69/1.27
% 3.69/1.27 % ------ Proving...
% 3.69/1.27 %
% 3.69/1.27
% 3.69/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.69/1.27
% 3.69/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.69/1.27
% 3.69/1.27
%------------------------------------------------------------------------------