%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : FLD030-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 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 : Sun Sep 27 07:10:22 AM UTC 2026
% Result : Unsatisfiable 4.30s 3.22s
% Output : Refutation 4.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 34
% Syntax : Number of formulae : 69 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 161 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 560 ( 90 ~; 92 |; 0 &; 378 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 100 ( 0 ^; 100 !; 0 ?; 100 :)
% Comments :
%------------------------------------------------------------------------------
thf(equalish_decl,type,
equalish: $i > $i > $o ).
thf(multiply_decl,type,
multiply: $i > $i > $i ).
thf(a_decl,type,
a: $i ).
thf(b_decl,type,
b: $i ).
thf(c_decl,type,
c: $i ).
thf(d_decl,type,
d: $i ).
thf(less_or_equal_decl,type,
less_or_equal: $i > $i > $o ).
thf(defined_decl,type,
defined: $i > $o ).
thf(additive_inverse_decl,type,
additive_inverse: $i > $i ).
thf(additive_identity_decl,type,
additive_identity: $i ).
thf(multiplicative_identity_decl,type,
multiplicative_identity: $i ).
thf(add_decl,type,
add: $i > $i > $i ).
thf(multiplicative_inverse_decl,type,
multiplicative_inverse: $i > $i ).
thf(14,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ equalish ) )
| ~ ( B @ defined )
| ( B @ ( C @ multiply ) @ ( B @ ( A @ multiply ) @ equalish ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_multiplication) ).
thf(56,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ equalish ) )
| ~ ( B @ defined )
| ( B @ ( C @ multiply ) @ ( B @ ( A @ multiply ) @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(3,negated_conjecture,
~ ( c @ ( b @ ( d @ multiply ) @ equalish ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_not_equal_to_c_7) ).
thf(37,plain,
~ ( c @ ( b @ ( d @ multiply ) @ equalish ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(29,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ less_or_equal ) )
| ~ ( B @ ( A @ less_or_equal ) )
| ( B @ ( A @ equalish ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_of_order_relation) ).
thf(84,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ less_or_equal ) )
| ~ ( B @ ( A @ less_or_equal ) )
| ( B @ ( A @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(12,axiom,
d @ defined,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).
thf(53,plain,
d @ defined,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(5,axiom,
! [A: $i] :
( ~ ( A @ defined )
| ( A @ additive_inverse @ defined ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
thf(41,plain,
! [A: $i] :
( ~ ( A @ defined )
| ( A @ additive_inverse @ defined ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ~ ( B @ defined )
| ~ ( A @ defined )
| ( A @ ( B @ less_or_equal ) )
| ( B @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_order_relation) ).
thf(45,plain,
! [B: $i,A: $i] :
( ~ ( B @ defined )
| ~ ( A @ defined )
| ( A @ ( B @ less_or_equal ) )
| ( B @ ( A @ less_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(18,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ equalish ) )
| ~ ( C @ ( A @ equalish ) )
| ( B @ ( A @ equalish ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
thf(63,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ equalish ) )
| ~ ( C @ ( A @ equalish ) )
| ( B @ ( A @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(20,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ defined )
| ~ ( C @ defined )
| ~ ( A @ defined )
| ( B @ ( C @ ( A @ add ) @ multiply ) @ ( B @ ( C @ multiply ) @ ( B @ ( A @ multiply ) @ add ) @ equalish ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity) ).
thf(67,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ defined )
| ~ ( C @ defined )
| ~ ( A @ defined )
| ( B @ ( C @ ( A @ add ) @ multiply ) @ ( B @ ( C @ multiply ) @ ( B @ ( A @ multiply ) @ add ) @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(9,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ less_or_equal ) )
| ~ ( B @ defined )
| ( B @ ( C @ add ) @ ( B @ ( A @ add ) @ less_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
thf(47,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ less_or_equal ) )
| ~ ( B @ defined )
| ( B @ ( C @ add ) @ ( B @ ( A @ add ) @ less_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(32,axiom,
! [B: $i,A: $i] :
( ~ ( B @ defined )
| ~ ( A @ defined )
| ( A @ ( B @ add ) @ ( B @ ( A @ add ) @ equalish ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
thf(90,plain,
! [B: $i,A: $i] :
( ~ ( B @ defined )
| ~ ( A @ defined )
| ( A @ ( B @ add ) @ ( B @ ( A @ add ) @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(21,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ equalish ) )
| ~ ( B @ ( C @ less_or_equal ) )
| ( B @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_order_relation) ).
thf(69,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( C @ equalish ) )
| ~ ( B @ ( C @ less_or_equal ) )
| ( B @ ( A @ less_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(31,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ defined )
| ~ ( B @ defined )
| ~ ( A @ defined )
| ( C @ ( B @ ( A @ multiply ) @ multiply ) @ ( C @ ( B @ multiply ) @ ( A @ multiply ) @ equalish ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_multiplication) ).
thf(88,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ defined )
| ~ ( B @ defined )
| ~ ( A @ defined )
| ( C @ ( B @ ( A @ multiply ) @ multiply ) @ ( C @ ( B @ multiply ) @ ( A @ multiply ) @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(34,axiom,
~ ( multiplicative_identity @ ( additive_identity @ equalish ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',different_identities) ).
thf(93,plain,
~ ( multiplicative_identity @ ( additive_identity @ equalish ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(26,axiom,
! [A: $i] :
( ( additive_identity @ ( A @ equalish ) )
| ~ ( A @ defined )
| ( multiplicative_identity @ ( A @ multiplicative_inverse @ ( A @ multiply ) @ equalish ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_multiplication) ).
thf(78,plain,
! [A: $i] :
( ( additive_identity @ ( A @ equalish ) )
| ~ ( A @ defined )
| ( multiplicative_identity @ ( A @ multiplicative_inverse @ ( A @ multiply ) @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(17,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ equalish ) )
| ~ ( B @ defined )
| ( B @ ( C @ add ) @ ( B @ ( A @ add ) @ equalish ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).
thf(61,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ equalish ) )
| ~ ( B @ defined )
| ( B @ ( C @ add ) @ ( B @ ( A @ add ) @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(24,axiom,
! [B: $i,A: $i] :
( ~ ( B @ defined )
| ~ ( A @ defined )
| ( A @ ( B @ multiply ) @ ( B @ ( A @ multiply ) @ equalish ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
thf(74,plain,
! [B: $i,A: $i] :
( ~ ( B @ defined )
| ~ ( A @ defined )
| ( A @ ( B @ multiply ) @ ( B @ ( A @ multiply ) @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(33,axiom,
b @ defined,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
thf(92,plain,
b @ defined,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(19,axiom,
! [A: $i] :
( ~ ( A @ defined )
| ( A @ ( A @ ( multiplicative_identity @ multiply ) @ equalish ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
thf(65,plain,
! [A: $i] :
( ~ ( A @ defined )
| ( A @ ( A @ ( multiplicative_identity @ multiply ) @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(7,axiom,
multiplicative_identity @ defined,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
thf(44,plain,
multiplicative_identity @ defined,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(16,axiom,
! [A: $i] :
( ~ ( A @ defined )
| ( additive_identity @ ( A @ additive_inverse @ ( A @ add ) @ equalish ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
thf(59,plain,
! [A: $i] :
( ~ ( A @ defined )
| ( additive_identity @ ( A @ additive_inverse @ ( A @ add ) @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(22,axiom,
a @ defined,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
thf(71,plain,
a @ defined,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ equalish ) )
| ( B @ ( A @ equalish ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
thf(54,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ equalish ) )
| ( B @ ( A @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ~ ( B @ defined )
| ~ ( A @ defined )
| ( B @ ( A @ add ) @ defined ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_addition) ).
thf(49,plain,
! [B: $i,A: $i] :
( ~ ( B @ defined )
| ~ ( A @ defined )
| ( B @ ( A @ add ) @ defined ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(30,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ defined )
| ~ ( B @ defined )
| ~ ( A @ defined )
| ( C @ ( B @ ( A @ add ) @ add ) @ ( C @ ( B @ add ) @ ( A @ add ) @ equalish ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition) ).
thf(86,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ defined )
| ~ ( B @ defined )
| ~ ( A @ defined )
| ( C @ ( B @ ( A @ add ) @ add ) @ ( C @ ( B @ add ) @ ( A @ add ) @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(25,axiom,
! [A: $i] :
( ( additive_identity @ ( A @ equalish ) )
| ~ ( A @ defined )
| ( A @ multiplicative_inverse @ defined ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
thf(76,plain,
! [A: $i] :
( ( additive_identity @ ( A @ equalish ) )
| ~ ( A @ defined )
| ( A @ multiplicative_inverse @ defined ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ less_or_equal ) )
| ~ ( C @ ( A @ less_or_equal ) )
| ( B @ ( A @ less_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_order_relation) ).
thf(39,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( C @ less_or_equal ) )
| ~ ( C @ ( A @ less_or_equal ) )
| ( B @ ( A @ less_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(27,axiom,
! [B: $i,A: $i] :
( ~ ( B @ defined )
| ~ ( A @ defined )
| ( B @ ( A @ multiply ) @ defined ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_multiplication) ).
thf(80,plain,
! [B: $i,A: $i] :
( ~ ( B @ defined )
| ~ ( A @ defined )
| ( B @ ( A @ multiply ) @ defined ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(1,negated_conjecture,
c @ ( b @ ( a @ multiply ) @ equalish ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_c_5) ).
thf(35,plain,
c @ ( b @ ( a @ multiply ) @ equalish ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(23,axiom,
! [A: $i] :
( ~ ( A @ defined )
| ( A @ ( A @ equalish ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_of_equality) ).
thf(72,plain,
! [A: $i] :
( ~ ( A @ defined )
| ( A @ ( A @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(6,axiom,
additive_identity @ defined,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
thf(43,plain,
additive_identity @ defined,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(15,axiom,
c @ defined,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
thf(58,plain,
c @ defined,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(28,axiom,
! [A: $i] :
( ~ ( A @ defined )
| ( A @ ( A @ ( additive_identity @ add ) @ equalish ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
thf(82,plain,
! [A: $i] :
( ~ ( A @ defined )
| ( A @ ( A @ ( additive_identity @ add ) @ equalish ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(2,negated_conjecture,
d @ ( a @ equalish ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_d_6) ).
thf(36,plain,
d @ ( a @ equalish ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(11,axiom,
! [B: $i,A: $i] :
( ~ ( B @ ( additive_identity @ less_or_equal ) )
| ~ ( A @ ( additive_identity @ less_or_equal ) )
| ( B @ ( A @ multiply ) @ ( additive_identity @ less_or_equal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_multiplication) ).
thf(51,plain,
! [B: $i,A: $i] :
( ~ ( B @ ( additive_identity @ less_or_equal ) )
| ~ ( A @ ( additive_identity @ less_or_equal ) )
| ( B @ ( A @ multiply ) @ ( additive_identity @ less_or_equal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(95,plain,
$false,
inference(e,[status(thm)],[56,37,84,53,41,45,63,67,47,90,69,88,93,78,61,74,92,65,44,59,71,54,49,86,76,39,80,35,72,43,58,82,36,51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD030-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/0.40 % Computer : n007.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 02:22:54 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.85/1.11 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.18/1.37 % [INFO] Parsing done (262ms).
% 1.18/1.39 % [INFO] Running in sequential loop mode.
% 2.03/1.92 % [INFO] eprover registered as external prover.
% 2.03/1.93 % [INFO] Scanning for conjecture ...
% 2.22/2.07 % [INFO] Found a conjecture (or negated_conjecture) and 31 axioms. Running axiom selection ...
% 2.38/2.16 % [INFO] Axiom selection finished. Selected 31 axioms (removed 0 axioms).
% 2.46/2.22 % [INFO] Problem is propositional (TPTP CNF).
% 2.46/2.22 % [INFO] Type checking passed.
% 2.46/2.23 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 4.30/3.21 % External prover 'e' found a proof!
% 4.30/3.21 % [INFO] Killing All external provers ...
% 4.30/3.21 % Time passed: 2708ms (effective reasoning time: 1815ms)
% 4.30/3.22 % Axioms used in derivation (31): existence_of_identity_multiplication, transitivity_of_order_relation, associativity_multiplication, c_is_defined, well_definedness_of_additive_identity, compatibility_of_order_relation_and_multiplication, well_definedness_of_multiplication, existence_of_identity_addition, transitivity_of_equality, reflexivity_of_equality, commutativity_addition, commutativity_multiplication, existence_of_inverse_addition, well_definedness_of_addition, distributivity, compatibility_of_equality_and_multiplication, a_is_defined, d_is_defined, antisymmetry_of_order_relation, associativity_addition, b_is_defined, totality_of_order_relation, compatibility_of_equality_and_addition, existence_of_inverse_multiplication, well_definedness_of_multiplicative_identity, well_definedness_of_additive_inverse, symmetry_of_equality, different_identities, well_definedness_of_multiplicative_inverse, compatibility_of_equality_and_order_relation, compatibility_of_order_relation_and_addition
% 4.30/3.22 % No. of inferences in proof: 69
% 4.30/3.22 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2708 ms resp. 1815 ms w/o parsing
% 4.30/3.27 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.30/3.27 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------