%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : FLD033-1 : 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 : n007.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 01:15:43 PM UTC 2026
% Result : Unsatisfiable 69.62s 10.86s
% Output : CNFRefutation 69.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 56 ( 11 unt; 0 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 170 ( 84 ~; 86 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 53 ( 0 sgn 53 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X2,X0,X1] :
( ~ defined(X2)
| ~ defined(X1)
| ~ defined(X0)
| equalish(multiply(X0,multiply(X1,X2)),multiply(multiply(X0,X1),X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',associativity_multiplication) ).
fof(f6,axiom,
! [X0] :
( ~ defined(X0)
| equalish(multiply(multiplicative_identity,X0),X0) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/FLD001-0.ax',commutativity_multiplication) ).
fof(f13,axiom,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| defined(multiply(X0,X1)) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_inverse) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,axiom,
defined(m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_is_defined) ).
fof(f30,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_3) ).
fof(f31,negated_conjecture,
equalish(multiply(m,a),a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_a_4) ).
fof(f32,negated_conjecture,
~ equalish(m,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_not_equal_to_multiplicative_identity_5) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalish(multiply(X0,multiply(X1,X2)),multiply(multiply(X0,X1),X2))
| ~ defined(X2)
| ~ defined(X1)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_86,plain,
! [X0: $i] :
( equalish(multiply(multiplicative_identity,X0),X0)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,plain,
! [X0: $i] :
( equalish(X0,additive_identity)
| equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i] :
( equalish(multiply(X0,X1),multiply(X1,X0))
| ~ defined(X1)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( defined(multiply(X0,X1))
| ~ defined(X1)
| ~ defined(X0) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_95,plain,
! [X0: $i] :
( equalish(X0,additive_identity)
| defined(multiplicative_inverse(X0))
| ~ defined(X0) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_105,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_108,plain,
defined(a),
inference(cnf_transformation,[],[f28]) ).
tcf(c_109,plain,
defined(m),
inference(cnf_transformation,[],[f29]) ).
tcf(c_110,negated_conjecture,
~ equalish(a,additive_identity),
inference(cnf_transformation,[],[f30]) ).
tcf(c_111,negated_conjecture,
equalish(multiply(m,a),a),
inference(cnf_transformation,[],[f31]) ).
tcf(c_112,negated_conjecture,
~ equalish(m,multiplicative_identity),
inference(cnf_transformation,[],[f32]) ).
tcf(c_133,plain,
( equalish(a,additive_identity)
| defined(multiplicative_inverse(a))
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_134,plain,
( equalish(a,additive_identity)
| equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity)
| ~ defined(a) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_142,plain,
! [X0: $i] :
( equalish(m,multiplicative_identity)
| ~ equalish(m,X0)
| ~ equalish(X0,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i] :
( equalish(m,X1)
| ~ equalish(m,X0)
| ~ equalish(X0,X1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_269,plain,
( equalish(multiply(multiplicative_identity,m),m)
| ~ defined(m) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_514,plain,
! [X0: $i,X1: $i] :
( equalish(X1,multiply(a,multiplicative_inverse(a)))
| ~ equalish(X1,X0)
| ~ equalish(X0,multiply(a,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_516,plain,
! [X0: $i] :
( equalish(multiply(X0,multiplicative_inverse(a)),multiply(a,multiplicative_inverse(a)))
| ~ defined(multiplicative_inverse(a))
| ~ equalish(X0,a) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_560,plain,
( equalish(m,multiplicative_identity)
| ~ equalish(m,multiply(a,multiplicative_inverse(a)))
| ~ equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_1264,plain,
( defined(multiply(a,multiplicative_inverse(a)))
| ~ defined(a)
| ~ defined(multiplicative_inverse(a)) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_1509,plain,
( equalish(multiply(multiply(m,a),multiplicative_inverse(a)),multiply(a,multiplicative_inverse(a)))
| ~ defined(multiplicative_inverse(a))
| ~ equalish(multiply(m,a),a) ),
inference(instantiation,[status(thm)],[c_516]) ).
tcf(c_2359,plain,
! [X0: $i] :
( equalish(X0,multiply(a,multiplicative_inverse(a)))
| ~ equalish(X0,multiply(multiply(m,a),multiplicative_inverse(a)))
| ~ equalish(multiply(multiply(m,a),multiplicative_inverse(a)),multiply(a,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[c_514]) ).
tcf(c_2596,plain,
! [X0: $i] :
( equalish(m,multiply(a,multiplicative_inverse(a)))
| ~ equalish(m,X0)
| ~ equalish(X0,multiply(a,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[c_218]) ).
tcf(c_7373,plain,
( equalish(multiply(m,multiply(a,multiplicative_inverse(a))),multiply(a,multiplicative_inverse(a)))
| ~ equalish(multiply(multiply(m,a),multiplicative_inverse(a)),multiply(a,multiplicative_inverse(a)))
| ~ equalish(multiply(m,multiply(a,multiplicative_inverse(a))),multiply(multiply(m,a),multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[c_2359]) ).
tcf(c_7374,plain,
( equalish(multiply(m,multiply(a,multiplicative_inverse(a))),multiply(multiply(m,a),multiplicative_inverse(a)))
| ~ defined(m)
| ~ defined(a)
| ~ defined(multiplicative_inverse(a)) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_12537,plain,
( equalish(m,multiply(a,multiplicative_inverse(a)))
| ~ equalish(m,multiply(m,multiply(a,multiplicative_inverse(a))))
| ~ equalish(multiply(m,multiply(a,multiplicative_inverse(a))),multiply(a,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[c_2596]) ).
tcf(c_28410,plain,
! [X0: $i] :
( equalish(m,X0)
| ~ equalish(X0,m) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_28411,plain,
! [X0: $i,X1: $i] :
( equalish(m,X1)
| ~ equalish(m,X0)
| ~ equalish(X0,X1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_28454,plain,
! [X0: $i,X1: $i] :
( equalish(X0,m)
| ~ equalish(X1,m)
| ~ equalish(X0,X1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_28751,plain,
! [X0: $i] :
( equalish(X0,m)
| ~ equalish(multiply(multiplicative_identity,m),m)
| ~ equalish(X0,multiply(multiplicative_identity,m)) ),
inference(instantiation,[status(thm)],[c_28454]) ).
tcf(c_29418,plain,
! [X0: $i] :
( equalish(multiply(X0,m),m)
| ~ equalish(multiply(multiplicative_identity,m),m)
| ~ equalish(multiply(X0,m),multiply(multiplicative_identity,m)) ),
inference(instantiation,[status(thm)],[c_28751]) ).
tcf(c_29419,plain,
! [X0: $i] :
( equalish(multiply(X0,m),multiply(multiplicative_identity,m))
| ~ defined(m)
| ~ equalish(X0,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_31842,plain,
( equalish(multiply(multiply(a,multiplicative_inverse(a)),m),multiply(multiplicative_identity,m))
| ~ defined(m)
| ~ equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_29419]) ).
tcf(c_33266,plain,
( equalish(multiply(multiply(a,multiplicative_inverse(a)),m),m)
| ~ equalish(multiply(multiplicative_identity,m),m)
| ~ equalish(multiply(multiply(a,multiplicative_inverse(a)),m),multiply(multiplicative_identity,m)) ),
inference(instantiation,[status(thm)],[c_29418]) ).
tcf(c_36361,plain,
( equalish(m,multiply(multiply(a,multiplicative_inverse(a)),m))
| ~ equalish(multiply(multiply(a,multiplicative_inverse(a)),m),m) ),
inference(instantiation,[status(thm)],[c_28410]) ).
tcf(c_40220,plain,
! [X0: $i] :
( equalish(m,X0)
| ~ equalish(m,multiply(multiply(a,multiplicative_inverse(a)),m))
| ~ equalish(multiply(multiply(a,multiplicative_inverse(a)),m),X0) ),
inference(instantiation,[status(thm)],[c_28411]) ).
tcf(c_49116,plain,
( equalish(m,multiply(m,multiply(a,multiplicative_inverse(a))))
| ~ equalish(m,multiply(multiply(a,multiplicative_inverse(a)),m))
| ~ equalish(multiply(multiply(a,multiplicative_inverse(a)),m),multiply(m,multiply(a,multiplicative_inverse(a)))) ),
inference(instantiation,[status(thm)],[c_40220]) ).
tcf(c_49117,plain,
( equalish(multiply(multiply(a,multiplicative_inverse(a)),m),multiply(m,multiply(a,multiplicative_inverse(a))))
| ~ defined(m)
| ~ defined(multiply(a,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_49118,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_49117,c_49116,c_36361,c_33266,c_31842,c_12537,c_7374,c_7373,c_1509,c_1264,c_560,c_269,c_134,c_133,c_111,c_110,c_112,c_108,c_109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD033-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n007.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 10:43:55 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 69.62/10.86 % SZS status Started for theBenchmark.p
% 69.62/10.86 % SZS status Unsatisfiable for theBenchmark.p
% 69.62/10.86
% 69.62/10.86 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 69.62/10.86
% 69.62/10.86 % ------ iProver source info
% 69.62/10.86
% 69.62/10.86 % git: date: 2026-07-19 20:42:38 +0200
% 69.62/10.86 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 69.62/10.86 % git: non_committed_changes: false
% 69.62/10.86
% 69.62/10.86 % ------ Parsing...% successful
% 69.62/10.86
% 69.62/10.86
% 69.62/10.86 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 69.62/10.86
% 69.62/10.86 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 69.62/10.86
% 69.62/10.86 % ------ Preprocessing...
% 69.62/10.86 % ------ Proving...
% 69.62/10.86 % ------ Problem Properties
% 69.62/10.86
% 69.62/10.86 %
% 69.62/10.86 % clauses 32
% 69.62/10.86 % conjectures 3
% 69.62/10.86 % EPR 14
% 69.62/10.86 % Horn 29
% 69.62/10.86 % unary 8
% 69.62/10.86 % binary 6
% 69.62/10.86 % lits 78
% 69.62/10.86 % lits eq 0
% 69.62/10.86 % fd_pure 0
% 69.62/10.86 % fd_pseudo 0
% 69.62/10.86 % fd_cond 0
% 69.62/10.86 % fd_pseudo_cond 0
% 69.62/10.86 % AC symbols 0
% 69.62/10.86
% 69.62/10.86 % ------ Input Options Time Limit: Unbounded
% 69.62/10.86
% 69.62/10.86
% 69.62/10.86 % ------
% 69.62/10.86 % Current options:
% 69.62/10.86 % ------
% 69.62/10.86
% 69.62/10.86
% 69.62/10.86 %
% 69.62/10.86
% 69.62/10.86 % ------ Proving...
% 69.62/10.86 %
% 69.62/10.86
% 69.62/10.86 % SZS status Unsatisfiable for theBenchmark.p
% 69.62/10.86
% 69.62/10.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 69.62/10.87
% 69.62/10.87
%------------------------------------------------------------------------------