%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD004-1 : 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 : n017.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 01:15:34 PM UTC 2026
% Result : Unsatisfiable 3.36s 1.35s
% Output : CNFRefutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 9 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 96 ( 47 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 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; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] :
( ~ defined(X0)
| equalish(multiply(multiplicative_identity,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_identity_multiplication) ).
fof(f7,axiom,
! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_multiplication) ).
fof(f8,axiom,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| equalish(multiply(X0,X1),multiply(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',commutativity_multiplication) ).
fof(f13,axiom,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| defined(multiply(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplication) ).
fof(f15,axiom,
! [X0] :
( equalish(X0,additive_identity)
| ~ defined(X0)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_inverse) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
fof(f25,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X2)
| ~ defined(X1)
| equalish(multiply(X0,X1),multiply(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,negated_conjecture,
~ equalish(b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_equal_to_additive_identity_3) ).
fof(f31,negated_conjecture,
~ equalish(multiply(a,multiply(b,multiplicative_inverse(b))),a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_not_equal_to_a_4) ).
tcf(c_80,plain,
defined(a),
inference(cnf_transformation,[],[f28]) ).
tcf(c_81,plain,
defined(b),
inference(cnf_transformation,[],[f29]) ).
tcf(c_82,negated_conjecture,
~ equalish(b,additive_identity),
inference(cnf_transformation,[],[f30]) ).
tcf(c_83,negated_conjecture,
~ equalish(multiply(a,multiply(b,multiplicative_inverse(b))),a),
inference(cnf_transformation,[],[f31]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalish(multiply(X0,X2),multiply(X1,X2))
| ~ defined(X2)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( defined(multiply(X0,X1))
| ~ defined(X1)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( equalish(multiply(X0,X1),multiply(X1,X0))
| ~ defined(X1)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_95,plain,
! [X0: $i] :
( equalish(X0,additive_identity)
| defined(multiplicative_inverse(X0))
| ~ defined(X0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_96,plain,
! [X0: $i] :
( equalish(X0,additive_identity)
| equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_108,plain,
! [X0: $i] :
( equalish(multiply(multiplicative_identity,X0),X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_271,plain,
( equalish(b,additive_identity)
| defined(multiplicative_inverse(b))
| ~ defined(b) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_275,plain,
( equalish(b,additive_identity)
| equalish(multiply(b,multiplicative_inverse(b)),multiplicative_identity)
| ~ defined(b) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_277,plain,
! [X0: $i] :
( equalish(multiply(a,multiply(b,multiplicative_inverse(b))),a)
| ~ equalish(X0,a)
| ~ equalish(multiply(a,multiply(b,multiplicative_inverse(b))),X0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_307,plain,
( equalish(multiply(multiplicative_identity,a),a)
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_313,plain,
! [X0: $i,X1: $i] :
( equalish(X0,a)
| ~ equalish(X1,a)
| ~ equalish(X0,X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_414,plain,
! [X0: $i] :
( equalish(X0,a)
| ~ equalish(multiply(multiplicative_identity,a),a)
| ~ equalish(X0,multiply(multiplicative_identity,a)) ),
inference(instantiation,[status(thm)],[c_313]) ).
tcf(c_470,plain,
( defined(multiply(b,multiplicative_inverse(b)))
| ~ defined(b)
| ~ defined(multiplicative_inverse(b)) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_519,plain,
( equalish(multiply(a,multiply(b,multiplicative_inverse(b))),a)
| ~ equalish(multiply(multiply(b,multiplicative_inverse(b)),a),a)
| ~ equalish(multiply(a,multiply(b,multiplicative_inverse(b))),multiply(multiply(b,multiplicative_inverse(b)),a)) ),
inference(instantiation,[status(thm)],[c_277]) ).
tcf(c_520,plain,
( equalish(multiply(a,multiply(b,multiplicative_inverse(b))),multiply(multiply(b,multiplicative_inverse(b)),a))
| ~ defined(a)
| ~ defined(multiply(b,multiplicative_inverse(b))) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_873,plain,
! [X0: $i] :
( equalish(multiply(X0,a),multiply(multiplicative_identity,a))
| ~ defined(a)
| ~ equalish(X0,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_3165,plain,
( equalish(multiply(multiply(b,multiplicative_inverse(b)),a),multiply(multiplicative_identity,a))
| ~ defined(a)
| ~ equalish(multiply(b,multiplicative_inverse(b)),multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_873]) ).
tcf(c_4476,plain,
( equalish(multiply(multiply(b,multiplicative_inverse(b)),a),a)
| ~ equalish(multiply(multiplicative_identity,a),a)
| ~ equalish(multiply(multiply(b,multiplicative_inverse(b)),a),multiply(multiplicative_identity,a)) ),
inference(instantiation,[status(thm)],[c_414]) ).
tcf(c_4478,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4476,c_3165,c_520,c_519,c_470,c_307,c_275,c_271,c_83,c_82,c_80,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD004-1 : 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 : n017.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 10:29:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 0.14/0.44
% 0.14/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.44
% 0.14/0.44 % Detected problem language: tptp
% 0.14/0.46 % Proving...
% 3.36/1.35 % SZS status Started for theBenchmark.p
% 3.36/1.35 % SZS status Unsatisfiable for theBenchmark.p
% 3.36/1.35
% 3.36/1.35 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.36/1.35
% 3.36/1.35 % ------ iProver source info
% 3.36/1.35
% 3.36/1.35 % git: date: 2026-07-19 20:42:38 +0200
% 3.36/1.35 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.36/1.35 % git: non_committed_changes: false
% 3.36/1.35
% 3.36/1.35 % ------ Parsing...% successful
% 3.36/1.35
% 3.36/1.35
% 3.36/1.35 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.36/1.35
% 3.36/1.35 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.36/1.35
% 3.36/1.35 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.36/1.35 % ------ Proving...
% 3.36/1.35 % ------ Problem Properties
% 3.36/1.35
% 3.36/1.35 %
% 3.36/1.35 % clauses 29
% 3.36/1.35 % conjectures 2
% 3.36/1.35 % EPR 13
% 3.36/1.35 % Horn 26
% 3.36/1.35 % unary 7
% 3.36/1.35 % binary 4
% 3.36/1.35 % lits 73
% 3.36/1.35 % lits eq 0
% 3.36/1.35 % fd_pure 0
% 3.36/1.35 % fd_pseudo 0
% 3.36/1.35 % fd_cond 0
% 3.36/1.35 % fd_pseudo_cond 0
% 3.36/1.35 % AC symbols 0
% 3.36/1.35
% 3.36/1.35 % ------ Schedule dynamic 5 is on
% 3.36/1.35
% 3.36/1.35 % ------ no equalities: superposition off
% 3.36/1.35
% 3.36/1.35 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.36/1.35
% 3.36/1.35
% 3.36/1.35 % ------
% 3.36/1.35 % Current options:
% 3.36/1.35 % ------
% 3.36/1.35
% 3.36/1.35
% 3.36/1.35 %
% 3.36/1.35
% 3.36/1.35 % ------ Proving...
% 3.36/1.35 %
% 3.36/1.35
% 3.36/1.35 % SZS status Unsatisfiable for theBenchmark.p
% 3.36/1.35
% 3.36/1.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.36/1.35
% 3.36/1.35
%------------------------------------------------------------------------------