%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD032-1 : 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 : 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 01:15:42 PM UTC 2026
% Result : Unsatisfiable 2.62s 7.13s
% Output : CNFRefutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 42 ( 9 unt; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 112 ( 55 ~; 57 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?; 24 :)
% 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(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(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
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,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_2) ).
fof(f30,negated_conjecture,
equalish(multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverses_equal) ).
fof(f31,negated_conjecture,
~ equalish(a,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_multiplicative_identity_4) ).
tcf(c_80,plain,
defined(a),
inference(cnf_transformation,[],[f28]) ).
tcf(c_81,negated_conjecture,
~ equalish(a,additive_identity),
inference(cnf_transformation,[],[f29]) ).
tcf(c_82,negated_conjecture,
equalish(multiplicative_inverse(a),multiplicative_identity),
inference(cnf_transformation,[],[f30]) ).
tcf(c_83,negated_conjecture,
~ equalish(a,multiplicative_identity),
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_86,plain,
! [X0: $i,X1: $i] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_92,plain,
! [X0: $i] :
( equalish(multiply(multiplicative_identity,X0),X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_93,plain,
! [X0: $i] :
( equalish(X0,additive_identity)
| defined(multiplicative_inverse(X0))
| ~ defined(X0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_94,plain,
! [X0: $i] :
( equalish(X0,additive_identity)
| equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_100,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_103,plain,
! [X0: $i,X1: $i] :
( equalish(multiply(X0,X1),multiply(X1,X0))
| ~ defined(X1)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_271,plain,
( equalish(a,additive_identity)
| defined(multiplicative_inverse(a))
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_275,plain,
( equalish(a,additive_identity)
| equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity)
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_277,plain,
! [X0: $i] :
( equalish(a,multiplicative_identity)
| ~ equalish(a,X0)
| ~ equalish(X0,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_301,plain,
! [X0: $i] :
( equalish(a,X0)
| ~ equalish(X0,a) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_302,plain,
! [X0: $i,X1: $i] :
( equalish(a,X1)
| ~ equalish(a,X0)
| ~ equalish(X0,X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_311,plain,
! [X0: $i,X1: $i] :
( equalish(X0,multiplicative_identity)
| ~ equalish(X1,multiplicative_identity)
| ~ equalish(X0,X1) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_362,plain,
( equalish(a,multiply(multiplicative_identity,a))
| ~ equalish(multiply(multiplicative_identity,a),a) ),
inference(instantiation,[status(thm)],[c_301]) ).
tcf(c_363,plain,
( equalish(multiply(multiplicative_identity,a),a)
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_371,plain,
! [X0: $i] :
( equalish(multiplicative_identity,X0)
| ~ equalish(X0,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_415,plain,
! [X0: $i] :
( equalish(X0,multiplicative_identity)
| ~ equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity)
| ~ equalish(X0,multiply(a,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[c_311]) ).
tcf(c_465,plain,
( equalish(multiplicative_identity,multiplicative_inverse(a))
| ~ equalish(multiplicative_inverse(a),multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_371]) ).
tcf(c_482,plain,
( equalish(multiply(multiplicative_inverse(a),a),multiplicative_identity)
| ~ equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity)
| ~ equalish(multiply(multiplicative_inverse(a),a),multiply(a,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[c_415]) ).
tcf(c_483,plain,
( equalish(multiply(multiplicative_inverse(a),a),multiply(a,multiplicative_inverse(a)))
| ~ defined(a)
| ~ defined(multiplicative_inverse(a)) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_536,plain,
! [X0: $i] :
( equalish(a,X0)
| ~ equalish(a,multiply(multiplicative_identity,a))
| ~ equalish(multiply(multiplicative_identity,a),X0) ),
inference(instantiation,[status(thm)],[c_302]) ).
tcf(c_1166,plain,
( equalish(a,multiplicative_identity)
| ~ equalish(a,multiply(multiplicative_inverse(a),a))
| ~ equalish(multiply(multiplicative_inverse(a),a),multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_277]) ).
tcf(c_1426,plain,
! [X0: $i] :
( equalish(a,multiply(X0,a))
| ~ equalish(a,multiply(multiplicative_identity,a))
| ~ equalish(multiply(multiplicative_identity,a),multiply(X0,a)) ),
inference(instantiation,[status(thm)],[c_536]) ).
tcf(c_1427,plain,
! [X0: $i] :
( equalish(multiply(multiplicative_identity,a),multiply(X0,a))
| ~ defined(a)
| ~ equalish(multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_4413,plain,
( equalish(multiply(multiplicative_identity,a),multiply(multiplicative_inverse(a),a))
| ~ defined(a)
| ~ equalish(multiplicative_identity,multiplicative_inverse(a)) ),
inference(instantiation,[status(thm)],[c_1427]) ).
tcf(c_7411,plain,
( equalish(a,multiply(multiplicative_inverse(a),a))
| ~ equalish(a,multiply(multiplicative_identity,a))
| ~ equalish(multiply(multiplicative_identity,a),multiply(multiplicative_inverse(a),a)) ),
inference(instantiation,[status(thm)],[c_1426]) ).
tcf(c_7412,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7411,c_4413,c_1166,c_483,c_482,c_465,c_363,c_362,c_275,c_271,c_81,c_82,c_83,c_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD032-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/6.21 % Computer : n002.cluster.edu
% 0.12/6.21 % Model : x86_64 x86_64
% 0.12/6.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/6.21 % Memory : 8046.5625MB
% 0.12/6.21 % OS : Linux 6.8.0-71-generic
% 0.12/6.21 % CPULimit : 300
% 0.12/6.21 % WCLimit : 300
% 0.12/6.21 % DateTime : Fri Sep 25 10:47:43 UTC 2026
% 0.12/6.21 % CPUTime :
% 0.12/6.21 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/6.25 Running first-order theorem proving
% 0.12/6.25 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
% 0.12/6.26
% 0.12/6.26 % ======== iProver multi-core TPTP/SMT =========
% 0.12/6.26
% 0.12/6.26 % Detected problem language: tptp
% 0.12/6.27 % Proving...
% 2.62/7.13 % SZS status Started for theBenchmark.p
% 2.62/7.13 % SZS status Unsatisfiable for theBenchmark.p
% 2.62/7.13
% 2.62/7.13 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.62/7.13
% 2.62/7.13 % ------ iProver source info
% 2.62/7.13
% 2.62/7.13 % git: date: 2026-07-19 20:42:38 +0200
% 2.62/7.13 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.62/7.13 % git: non_committed_changes: false
% 2.62/7.13
% 2.62/7.13 % ------ Parsing...% successful
% 2.62/7.13
% 2.62/7.13
% 2.62/7.13 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.62/7.13
% 2.62/7.13 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.62/7.13
% 2.62/7.13 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.62/7.13 % ------ Proving...
% 2.62/7.13 % ------ Problem Properties
% 2.62/7.13
% 2.62/7.13 %
% 2.62/7.13 % clauses 29
% 2.62/7.13 % conjectures 3
% 2.62/7.13 % EPR 13
% 2.62/7.13 % Horn 26
% 2.62/7.13 % unary 7
% 2.62/7.13 % binary 4
% 2.62/7.13 % lits 73
% 2.62/7.13 % lits eq 0
% 2.62/7.13 % fd_pure 0
% 2.62/7.13 % fd_pseudo 0
% 2.62/7.13 % fd_cond 0
% 2.62/7.13 % fd_pseudo_cond 0
% 2.62/7.13 % AC symbols 0
% 2.62/7.13
% 2.62/7.13 % ------ Schedule dynamic 5 is on
% 2.62/7.13
% 2.62/7.13 % ------ no equalities: superposition off
% 2.62/7.13
% 2.62/7.13 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.62/7.13
% 2.62/7.13
% 2.62/7.13 % ------
% 2.62/7.13 % Current options:
% 2.62/7.13 % ------
% 2.62/7.13
% 2.62/7.13
% 2.62/7.13 %
% 2.62/7.13
% 2.62/7.13 % ------ Proving...
% 2.62/7.13 %
% 2.62/7.13
% 2.62/7.13 % SZS status Unsatisfiable for theBenchmark.p
% 2.62/7.13
% 2.62/7.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.62/7.13
% 2.62/7.13
%------------------------------------------------------------------------------