TSTP Solution File: HAL001+2 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : HAL001+2 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:16:44 EDT 2023
% Result : Theorem 15.24s 4.02s
% Output : Refutation 15.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 56
% Syntax : Number of formulae : 91 ( 38 unt; 23 typ; 0 def)
% Number of atoms : 198 ( 44 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 645 ( 2 ~; 0 |; 74 &; 513 @)
% ( 2 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 15 con; 0-4 aty)
% Number of variables : 156 ( 0 ^; 146 !; 10 ?; 156 :)
% Comments :
%------------------------------------------------------------------------------
thf(injection_type,type,
injection: $i > $o ).
thf(g_type,type,
g: $i ).
thf(morphism_type,type,
morphism: $i > $i > $i > $o ).
thf(h_type,type,
h: $i ).
thf(c_type,type,
c: $i ).
thf(r_type,type,
r: $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(commute_type,type,
commute: $i > $i > $i > $i > $o ).
thf(surjection_type,type,
surjection: $i > $o ).
thf(subtract_type,type,
subtract: $i > $i > $i > $i ).
thf(alpha_type,type,
alpha: $i ).
thf(a_type,type,
a: $i ).
thf(b_type,type,
b: $i ).
thf(zero_type,type,
zero: $i > $i ).
thf(exact_type,type,
exact: $i > $i > $o ).
thf(f_type,type,
f: $i ).
thf(d_type,type,
d: $i ).
thf(gammma_type,type,
gammma: $i ).
thf(delta_type,type,
delta: $i ).
thf(e_type,type,
e: $i ).
thf(beta_type,type,
beta: $i ).
thf(gamma_type,type,
gamma: $i ).
thf(31,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( injection @ A )
& ( morphism @ A @ B @ C ) )
=> ! [D: $i,E: $i] :
( ( ( element @ D @ B )
& ( element @ E @ B )
& ( ( apply @ A @ D )
= ( apply @ A @ E ) ) )
=> ( D = E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',injection_properties) ).
thf(125,plain,
! [A: $i,B: $i,C: $i] :
( ( ( injection @ A )
& ( morphism @ A @ B @ C ) )
=> ! [D: $i,E: $i] :
( ( ( element @ D @ B )
& ( element @ E @ B )
& ( ( apply @ A @ D )
= ( apply @ A @ E ) ) )
=> ( D = E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(18,axiom,
morphism @ gamma @ d @ e,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gamma_morphism) ).
thf(85,plain,
morphism @ gamma @ d @ e,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( element @ B @ A )
& ( element @ C @ A ) )
=> ( ( subtract @ A @ B @ ( subtract @ A @ B @ C ) )
= C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subtract_cancellation) ).
thf(70,plain,
! [A: $i,B: $i,C: $i] :
( ( ( element @ B @ A )
& ( element @ C @ A ) )
=> ( ( subtract @ A @ B @ ( subtract @ A @ B @ C ) )
= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(32,axiom,
injection @ h,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_injection) ).
thf(129,plain,
injection @ h,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( surjection @ A )
& ( morphism @ A @ B @ C ) )
=> ! [D: $i] :
( ( element @ D @ C )
=> ? [E: $i] :
( ( element @ E @ B )
& ( ( apply @ A @ E )
= D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',surjection_properties) ).
thf(64,plain,
! [A: $i,B: $i,C: $i] :
( ( ( surjection @ A )
& ( morphism @ A @ B @ C ) )
=> ! [D: $i] :
( ( element @ D @ C )
=> ? [E: $i] :
( ( element @ E @ B )
& ( ( apply @ A @ E )
= D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( exact @ A @ B )
& ( morphism @ A @ C @ D )
& ( morphism @ B @ D @ E ) )
=> ! [F: $i] :
( ( ( element @ F @ D )
& ( ( apply @ B @ F )
= ( zero @ E ) ) )
<=> ? [G: $i] :
( ( element @ G @ C )
& ( ( apply @ A @ G )
= F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exact_properties) ).
thf(86,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( exact @ A @ B )
& ( morphism @ A @ C @ D )
& ( morphism @ B @ D @ E ) )
=> ! [F: $i] :
( ( ( ( element @ F @ D )
& ( ( apply @ B @ F )
= ( zero @ E ) ) )
=> ? [G: $i] :
( ( element @ G @ C )
& ( ( apply @ A @ G )
= F ) ) )
& ( ? [G: $i] :
( ( element @ G @ C )
& ( ( apply @ A @ G )
= F ) )
=> ( ( element @ F @ D )
& ( ( apply @ B @ F )
= ( zero @ E ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(29,axiom,
commute @ alpha @ g @ f @ gamma,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',alpha_g_f_gamma_commute) ).
thf(123,plain,
commute @ alpha @ g @ f @ gamma,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(9,axiom,
morphism @ f @ a @ d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_morphism) ).
thf(63,plain,
morphism @ f @ a @ d,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(7,axiom,
morphism @ alpha @ a @ b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',alpha_morphism) ).
thf(50,plain,
morphism @ alpha @ a @ b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(22,axiom,
surjection @ delta,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',delta_surjection) ).
thf(100,plain,
surjection @ delta,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(12,axiom,
morphism @ delta @ e @ r,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',delta_morphism) ).
thf(69,plain,
morphism @ delta @ e @ r,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( element @ B @ A )
& ( element @ C @ A ) )
=> ( element @ ( subtract @ A @ B @ C ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subtract_in_domain) ).
thf(101,plain,
! [A: $i,B: $i,C: $i] :
( ( ( element @ B @ A )
& ( element @ C @ A ) )
=> ( element @ ( subtract @ A @ B @ C ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( morphism @ A @ B @ C )
& ! [D: $i] :
( ( element @ D @ C )
=> ? [E: $i] :
( ( element @ E @ B )
& ( ( apply @ A @ E )
= D ) ) ) )
=> ( surjection @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',properties_for_surjection) ).
thf(42,plain,
! [A: $i,B: $i,C: $i] :
( ( ( morphism @ A @ B @ C )
& ! [D: $i] :
( ( element @ D @ C )
=> ? [E: $i] :
( ( element @ E @ B )
& ( ( apply @ A @ E )
= D ) ) ) )
=> ( surjection @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( morphism @ A @ E @ F )
& ( morphism @ B @ F @ H )
& ( morphism @ C @ E @ G )
& ( morphism @ D @ G @ H )
& ! [I: $i] :
( ( element @ I @ E )
=> ( ( apply @ B @ ( apply @ A @ I ) )
= ( apply @ D @ ( apply @ C @ I ) ) ) ) )
=> ( commute @ A @ B @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',properties_for_commute) ).
thf(37,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( morphism @ A @ E @ F )
& ( morphism @ B @ F @ H )
& ( morphism @ C @ E @ G )
& ( morphism @ D @ G @ H )
& ! [I: $i] :
( ( element @ I @ E )
=> ( ( apply @ B @ ( apply @ A @ I ) )
= ( apply @ D @ ( apply @ C @ I ) ) ) ) )
=> ( commute @ A @ B @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(28,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( morphism @ A @ B @ C )
& ! [D: $i] :
( ( ( element @ D @ B )
& ( ( apply @ A @ D )
= ( zero @ C ) ) )
=> ( D
= ( zero @ B ) ) ) )
=> ( injection @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',properties_for_injection_2) ).
thf(116,plain,
! [A: $i,B: $i,C: $i] :
( ( ( morphism @ A @ B @ C )
& ! [D: $i] :
( ( ( element @ D @ B )
& ( ( apply @ A @ D )
= ( zero @ C ) ) )
=> ( D
= ( zero @ B ) ) ) )
=> ( injection @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( element @ B @ A )
=> ( ( subtract @ A @ B @ B )
= ( zero @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subtract_to_0) ).
thf(74,plain,
! [A: $i,B: $i] :
( ( element @ B @ A )
=> ( ( subtract @ A @ B @ B )
= ( zero @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(30,axiom,
morphism @ g @ b @ e,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',g_morphism) ).
thf(124,plain,
morphism @ g @ b @ e,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( commute @ A @ B @ C @ D )
& ( morphism @ A @ E @ F )
& ( morphism @ B @ F @ H )
& ( morphism @ C @ E @ G )
& ( morphism @ D @ G @ H ) )
=> ! [I: $i] :
( ( element @ I @ E )
=> ( ( apply @ B @ ( apply @ A @ I ) )
= ( apply @ D @ ( apply @ C @ I ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commute_properties) ).
thf(77,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( commute @ A @ B @ C @ D )
& ( morphism @ A @ E @ F )
& ( morphism @ B @ F @ H )
& ( morphism @ C @ E @ G )
& ( morphism @ D @ G @ H ) )
=> ! [I: $i] :
( ( element @ I @ E )
=> ( ( apply @ B @ ( apply @ A @ I ) )
= ( apply @ D @ ( apply @ C @ I ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(14,axiom,
exact @ alpha @ beta,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',alpha_beta_exact) ).
thf(73,plain,
exact @ alpha @ beta,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( injection @ A )
& ( morphism @ A @ B @ C ) )
=> ! [D: $i] :
( ( ( element @ D @ B )
& ( ( apply @ A @ D )
= ( zero @ C ) ) )
=> ( D
= ( zero @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',injection_properties_2) ).
thf(105,plain,
! [A: $i,B: $i,C: $i] :
( ( ( injection @ A )
& ( morphism @ A @ B @ C ) )
=> ! [D: $i] :
( ( ( element @ D @ B )
& ( ( apply @ A @ D )
= ( zero @ C ) ) )
=> ( D
= ( zero @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( morphism @ A @ B @ C )
=> ( ! [D: $i] :
( ( element @ D @ B )
=> ( element @ ( apply @ A @ D ) @ C ) )
& ( ( apply @ A @ ( zero @ B ) )
= ( zero @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',morphism) ).
thf(81,plain,
! [A: $i,B: $i,C: $i] :
( ( morphism @ A @ B @ C )
=> ( ! [D: $i] :
( ( element @ D @ B )
=> ( element @ ( apply @ A @ D ) @ C ) )
& ( ( apply @ A @ ( zero @ B ) )
= ( zero @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(20,axiom,
surjection @ beta,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',beta_surjection) ).
thf(98,plain,
surjection @ beta,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(24,axiom,
injection @ gamma,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gamma_injection) ).
thf(103,plain,
injection @ gamma,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(27,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( morphism @ A @ B @ C )
& ! [D: $i,E: $i] :
( ( ( element @ D @ B )
& ( element @ E @ B )
& ( ( apply @ A @ D )
= ( apply @ A @ E ) ) )
=> ( D = E ) ) )
=> ( injection @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',properties_for_injection) ).
thf(108,plain,
! [A: $i,B: $i,C: $i] :
( ( ( morphism @ A @ B @ C )
& ! [D: $i,E: $i] :
( ( ( element @ D @ B )
& ( element @ E @ B )
& ( ( apply @ A @ D )
= ( apply @ A @ E ) ) )
=> ( D = E ) ) )
=> ( injection @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(33,axiom,
commute @ beta @ h @ g @ delta,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',beta_h_g_delta_commute) ).
thf(130,plain,
commute @ beta @ h @ g @ delta,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(1,conjecture,
injection @ g,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',g_injection) ).
thf(2,negated_conjecture,
~ ( injection @ g ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(35,plain,
~ ( injection @ g ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(21,axiom,
morphism @ beta @ b @ c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',beta_morphism) ).
thf(99,plain,
morphism @ beta @ b @ c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(25,axiom,
injection @ alpha,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',alpha_injection) ).
thf(104,plain,
injection @ alpha,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(3,axiom,
morphism @ h @ c @ r,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_morphism) ).
thf(36,plain,
morphism @ h @ c @ r,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( morphism @ A @ C @ D )
& ( morphism @ B @ D @ E )
& ! [F: $i] :
( ( ( element @ F @ D )
& ( ( apply @ B @ F )
= ( zero @ E ) ) )
<=> ? [G: $i] :
( ( element @ G @ C )
& ( ( apply @ A @ G )
= F ) ) ) )
=> ( exact @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',properties_for_exact) ).
thf(51,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( morphism @ A @ C @ D )
& ( morphism @ B @ D @ E )
& ! [F: $i] :
( ( ( ( element @ F @ D )
& ( ( apply @ B @ F )
= ( zero @ E ) ) )
=> ? [G: $i] :
( ( element @ G @ C )
& ( ( apply @ A @ G )
= F ) ) )
& ( ? [G: $i] :
( ( element @ G @ C )
& ( ( apply @ A @ G )
= F ) )
=> ( ( element @ F @ D )
& ( ( apply @ B @ F )
= ( zero @ E ) ) ) ) ) )
=> ( exact @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(11,axiom,
exact @ gammma @ delta,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gamma_delta_exact) ).
thf(68,plain,
exact @ gammma @ delta,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(34,axiom,
injection @ f,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_injection) ).
thf(131,plain,
injection @ f,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( morphism @ A @ B @ C )
=> ! [D: $i,E: $i] :
( ( ( element @ D @ B )
& ( element @ E @ B ) )
=> ( ( apply @ A @ ( subtract @ B @ D @ E ) )
= ( subtract @ C @ ( apply @ A @ D ) @ ( apply @ A @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subtract_distribution) ).
thf(47,plain,
! [A: $i,B: $i,C: $i] :
( ( morphism @ A @ B @ C )
=> ! [D: $i,E: $i] :
( ( ( element @ D @ B )
& ( element @ E @ B ) )
=> ( ( apply @ A @ ( subtract @ B @ D @ E ) )
= ( subtract @ C @ ( apply @ A @ D ) @ ( apply @ A @ E ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1108,plain,
$false,
inference(cvc4,[status(thm)],[125,85,70,129,64,86,123,63,50,100,69,101,42,37,116,74,124,77,73,105,81,98,103,108,130,35,99,104,36,51,68,131,47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HAL001+2 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 18 22:57:39 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.91/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/0.97 % [INFO] Parsing done (130ms).
% 1.21/0.97 % [INFO] Running in sequential loop mode.
% 1.77/1.17 % [INFO] eprover registered as external prover.
% 1.77/1.17 % [INFO] cvc4 registered as external prover.
% 1.77/1.17 % [INFO] Scanning for conjecture ...
% 1.77/1.23 % [INFO] Found a conjecture and 32 axioms. Running axiom selection ...
% 2.02/1.27 % [INFO] Axiom selection finished. Selected 32 axioms (removed 0 axioms).
% 2.29/1.33 % [INFO] Problem is first-order (TPTP FOF).
% 2.29/1.34 % [INFO] Type checking passed.
% 2.29/1.34 % [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 ...
% 15.24/4.02 % External prover 'cvc4' found a proof!
% 15.24/4.02 % [INFO] Killing All external provers ...
% 15.24/4.02 % Time passed: 3508ms (effective reasoning time: 3044ms)
% 15.24/4.02 % Solved by 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)>
% 15.24/4.02 % Axioms used in derivation (32): surjection_properties, beta_morphism, gamma_morphism, subtract_cancellation, f_morphism, alpha_g_f_gamma_commute, alpha_injection, properties_for_injection_2, subtract_in_domain, subtract_to_0, beta_h_g_delta_commute, delta_morphism, h_morphism, alpha_morphism, injection_properties, properties_for_exact, subtract_distribution, properties_for_injection, delta_surjection, properties_for_commute, gamma_injection, exact_properties, gamma_delta_exact, properties_for_surjection, f_injection, h_injection, morphism, injection_properties_2, commute_properties, beta_surjection, g_morphism, alpha_beta_exact
% 15.24/4.02 % No. of inferences in proof: 68
% 15.24/4.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3508 ms resp. 3044 ms w/o parsing
% 15.24/4.05 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 15.24/4.05 % [INFO] Killing All external provers ...
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