%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD030-4 : 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 01:15:42 PM UTC 2026
% Result : Unsatisfiable 2.48s 1.27s
% Output : CNFRefutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 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 : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
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(f29,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f31,negated_conjecture,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_5) ).
fof(f32,negated_conjecture,
product(multiplicative_identity,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_6) ).
fof(f33,negated_conjecture,
~ product(d,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_7) ).
tcf(c_88,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_89,plain,
! [X0: $i] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_110,plain,
defined(c),
inference(cnf_transformation,[],[f29]) ).
tcf(c_112,negated_conjecture,
product(a,b,c),
inference(cnf_transformation,[],[f31]) ).
tcf(c_113,negated_conjecture,
product(multiplicative_identity,a,d),
inference(cnf_transformation,[],[f32]) ).
tcf(c_114,negated_conjecture,
~ product(d,b,c),
inference(cnf_transformation,[],[f33]) ).
tcf(c_309,plain,
! [X0: $i,X1: $i,X2: $i] :
( product(d,X0,X2)
| ~ product(multiplicative_identity,a,d)
| ~ product(multiplicative_identity,X1,X2)
| ~ product(a,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_350,plain,
! [X0: $i] :
( product(d,b,X0)
| ~ product(multiplicative_identity,a,d)
| ~ product(a,b,c)
| ~ product(multiplicative_identity,c,X0) ),
inference(instantiation,[status(thm)],[c_309]) ).
tcf(c_605,plain,
( product(d,b,c)
| ~ product(multiplicative_identity,c,c)
| ~ product(multiplicative_identity,a,d)
| ~ product(a,b,c) ),
inference(instantiation,[status(thm)],[c_350]) ).
tcf(c_606,plain,
( product(multiplicative_identity,c,c)
| ~ defined(c) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_607,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_606,c_605,c_114,c_112,c_113,c_110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD030-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 10:44:02 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 2.48/1.27 % SZS status Started for theBenchmark.p
% 2.48/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.48/1.27
% 2.48/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.48/1.27
% 2.48/1.27 % ------ iProver source info
% 2.48/1.27
% 2.48/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.48/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.48/1.27 % git: non_committed_changes: false
% 2.48/1.27
% 2.48/1.27 % ------ Parsing...% successful
% 2.48/1.27
% 2.48/1.27
% 2.48/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.48/1.27
% 2.48/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.48/1.27
% 2.48/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.48/1.27 % ------ Proving...
% 2.48/1.27 % ------ Problem Properties
% 2.48/1.27
% 2.48/1.27 %
% 2.48/1.27 % clauses 33
% 2.48/1.27 % conjectures 3
% 2.48/1.27 % EPR 25
% 2.48/1.27 % Horn 30
% 2.48/1.27 % unary 10
% 2.48/1.27 % binary 6
% 2.48/1.27 % lits 84
% 2.48/1.27 % lits eq 0
% 2.48/1.27 % fd_pure 0
% 2.48/1.27 % fd_pseudo 0
% 2.48/1.27 % fd_cond 0
% 2.48/1.27 % fd_pseudo_cond 0
% 2.48/1.27 % AC symbols 0
% 2.48/1.27
% 2.48/1.27 % ------ Schedule dynamic 5 is on
% 2.48/1.27
% 2.48/1.27 % ------ no equalities: superposition off
% 2.48/1.27
% 2.48/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.48/1.27
% 2.48/1.27
% 2.48/1.27 % ------
% 2.48/1.27 % Current options:
% 2.48/1.27 % ------
% 2.48/1.27
% 2.48/1.27
% 2.48/1.27 %
% 2.48/1.27
% 2.48/1.27 % ------ Proving...
% 2.48/1.27 %
% 2.48/1.27
% 2.48/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.48/1.27
% 2.48/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.48/1.27
% 2.48/1.27
%------------------------------------------------------------------------------