TSTP Solution File: HAL003+3 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : HAL003+3 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n010.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 11:16:45 EDT 2023
% Result : Theorem 4.42s 2.03s
% Output : Refutation 4.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 57
% Syntax : Number of formulae : 93 ( 38 unt; 23 typ; 0 def)
% Number of atoms : 212 ( 50 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 713 ( 2 ~; 0 |; 88 &; 569 @)
% ( 2 <=>; 52 =>; 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 : 160 ( 0 ^; 136 !; 24 ?; 160 :)
% Comments :
%------------------------------------------------------------------------------
thf(surjection_type,type,
surjection: $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(injection_type,type,
injection: $i > $o ).
thf(gamma_type,type,
gamma: $i ).
thf(alpha_type,type,
alpha: $i ).
thf(subtract_type,type,
subtract: $i > $i > $i > $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(delta_type,type,
delta: $i ).
thf(e_type,type,
e: $i ).
thf(beta_type,type,
beta: $i ).
thf(gammma_type,type,
gammma: $i ).
thf(22,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/sandbox/benchmark/theBenchmark.p',injection_properties) ).
thf(101,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)],[22]) ).
thf(33,axiom,
surjection @ delta,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',delta_surjection) ).
thf(142,plain,
surjection @ delta,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(3,axiom,
morphism @ h @ c @ r,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_morphism) ).
thf(37,plain,
morphism @ h @ c @ r,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(29,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/sandbox/benchmark/theBenchmark.p',surjection_properties) ).
thf(125,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)],[29]) ).
thf(20,axiom,
morphism @ beta @ b @ c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',beta_morphism) ).
thf(92,plain,
morphism @ beta @ b @ c,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(28,axiom,
morphism @ g @ b @ e,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',g_morphism) ).
thf(124,plain,
morphism @ g @ b @ e,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(30,axiom,
surjection @ h,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_surjection) ).
thf(129,plain,
surjection @ h,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( element @ B @ A )
& ( element @ C @ A ) )
=> ( element @ ( subtract @ A @ B @ C ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subtract_in_domain) ).
thf(105,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(7,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/sandbox/benchmark/theBenchmark.p',subtract_distribution) ).
thf(45,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)],[7]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( element @ B @ A )
=> ( ( subtract @ A @ B @ B )
= ( zero @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subtract_to_0) ).
thf(67,plain,
! [A: $i,B: $i] :
( ( element @ B @ A )
=> ( ( subtract @ A @ B @ B )
= ( zero @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(27,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/sandbox/benchmark/theBenchmark.p',properties_for_surjection) ).
thf(119,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)],[27]) ).
thf(1,conjecture,
surjection @ g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',g_surjection) ).
thf(2,negated_conjecture,
~ ( surjection @ g ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(36,plain,
~ ( surjection @ g ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(21,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/sandbox/benchmark/theBenchmark.p',properties_for_injection) ).
thf(93,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)],[21]) ).
thf(17,axiom,
morphism @ gamma @ d @ e,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gamma_morphism) ).
thf(78,plain,
morphism @ gamma @ d @ e,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(10,axiom,
morphism @ f @ a @ d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_morphism) ).
thf(61,plain,
morphism @ f @ a @ d,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(16,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/sandbox/benchmark/theBenchmark.p',morphism) ).
thf(74,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)],[16]) ).
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/sandbox/benchmark/theBenchmark.p',properties_for_commute) ).
thf(38,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(15,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/sandbox/benchmark/theBenchmark.p',commute_properties) ).
thf(70,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)],[15]) ).
thf(6,axiom,
injection @ alpha,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',alpha_injection) ).
thf(44,plain,
injection @ alpha,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(26,axiom,
commute @ alpha @ g @ f @ gamma,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',alpha_g_f_gamma_commute) ).
thf(118,plain,
commute @ alpha @ g @ f @ gamma,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(35,axiom,
! [A: $i] :
( ( element @ A @ e )
=> ? [B: $i,C: $i] :
( ( element @ B @ b )
& ( element @ C @ b )
& ( ( apply @ g @ ( subtract @ b @ B @ C ) )
= A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma12) ).
thf(144,plain,
! [A: $i] :
( ( element @ A @ e )
=> ? [B: $i,C: $i] :
( ( element @ B @ b )
& ( element @ C @ b )
& ( ( apply @ g @ ( subtract @ b @ B @ C ) )
= A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(9,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/sandbox/benchmark/theBenchmark.p',properties_for_exact) ).
thf(49,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)],[9]) ).
thf(13,axiom,
exact @ alpha @ beta,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',alpha_beta_exact) ).
thf(66,plain,
exact @ alpha @ beta,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(25,axiom,
! [A: $i] :
( ( element @ A @ e )
=> ? [B: $i,C: $i] :
( ( element @ B @ r )
& ( ( apply @ delta @ A )
= B )
& ( element @ C @ b )
& ( ( apply @ h @ ( apply @ beta @ C ) )
= B )
& ( ( apply @ delta @ ( apply @ g @ C ) )
= B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma3) ).
thf(108,plain,
! [A: $i] :
( ( element @ A @ e )
=> ? [B: $i,C: $i] :
( ( element @ B @ r )
& ( ( apply @ delta @ A )
= B )
& ( element @ C @ b )
& ( ( apply @ h @ ( apply @ beta @ C ) )
= B )
& ( ( apply @ delta @ ( apply @ g @ C ) )
= B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(31,axiom,
surjection @ beta,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',beta_surjection) ).
thf(130,plain,
surjection @ beta,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
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/sandbox/benchmark/theBenchmark.p',exact_properties) ).
thf(80,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(8,axiom,
morphism @ alpha @ a @ b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',alpha_morphism) ).
thf(48,plain,
morphism @ alpha @ a @ b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( element @ B @ A )
& ( element @ C @ A ) )
=> ( ( subtract @ A @ B @ ( subtract @ A @ B @ C ) )
= C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subtract_cancellation) ).
thf(63,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)],[12]) ).
thf(34,axiom,
commute @ beta @ h @ g @ delta,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',beta_h_g_delta_commute) ).
thf(143,plain,
commute @ beta @ h @ g @ delta,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(5,axiom,
injection @ gamma,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gamma_injection) ).
thf(43,plain,
injection @ gamma,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(24,axiom,
surjection @ f,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_surjection) ).
thf(107,plain,
surjection @ f,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(18,axiom,
exact @ gammma @ delta,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gamma_delta_exact) ).
thf(79,plain,
exact @ gammma @ delta,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(32,axiom,
! [A: $i] :
( ( element @ A @ e )
=> ? [B: $i,C: $i,D: $i] :
( ( element @ B @ b )
& ( element @ C @ e )
& ( ( subtract @ e @ ( apply @ g @ B ) @ A )
= C )
& ( element @ D @ a )
& ( ( apply @ gamma @ ( apply @ f @ D ) )
= C )
& ( ( apply @ g @ ( apply @ alpha @ D ) )
= C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma8) ).
thf(131,plain,
! [A: $i] :
( ( element @ A @ e )
=> ? [B: $i,C: $i,D: $i] :
( ( element @ B @ b )
& ( element @ C @ e )
& ( ( subtract @ e @ ( apply @ g @ B ) @ A )
= C )
& ( element @ D @ a )
& ( ( apply @ gamma @ ( apply @ f @ D ) )
= C )
& ( ( apply @ g @ ( apply @ alpha @ D ) )
= C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(11,axiom,
morphism @ delta @ e @ r,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',delta_morphism) ).
thf(62,plain,
morphism @ delta @ e @ r,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(150,plain,
$false,
inference(e,[status(thm)],[101,142,37,125,92,124,129,105,45,67,119,36,93,78,61,74,38,70,44,118,144,49,66,108,130,80,48,63,143,43,107,79,131,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : HAL003+3 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.14 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 22:59:27 EDT 2023
% 0.21/0.35 % CPUTime :
% 0.84/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.27/0.98 % [INFO] Parsing done (141ms).
% 1.27/0.99 % [INFO] Running in sequential loop mode.
% 1.83/1.19 % [INFO] eprover registered as external prover.
% 1.83/1.19 % [INFO] cvc4 registered as external prover.
% 1.83/1.19 % [INFO] Scanning for conjecture ...
% 1.95/1.25 % [INFO] Found a conjecture and 33 axioms. Running axiom selection ...
% 1.95/1.30 % [INFO] Axiom selection finished. Selected 33 axioms (removed 0 axioms).
% 2.19/1.36 % [INFO] Problem is first-order (TPTP FOF).
% 2.19/1.37 % [INFO] Type checking passed.
% 2.40/1.37 % [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 ...
% 4.42/2.03 % External prover 'e' found a proof!
% 4.42/2.03 % [INFO] Killing All external provers ...
% 4.42/2.03 % Time passed: 1510ms (effective reasoning time: 1035ms)
% 4.42/2.03 % 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)>
% 4.42/2.03 % Axioms used in derivation (33): surjection_properties, lemma8, beta_morphism, gamma_morphism, subtract_cancellation, lemma12, alpha_g_f_gamma_commute, properties_for_surjection, morphism, commute_properties, subtract_in_domain, subtract_to_0, beta_h_g_delta_commute, delta_morphism, h_morphism, alpha_morphism, injection_properties, properties_for_exact, subtract_distribution, h_surjection, f_morphism, f_surjection, properties_for_injection, delta_surjection, properties_for_commute, gamma_injection, exact_properties, gamma_delta_exact, lemma3, alpha_injection, beta_surjection, g_morphism, alpha_beta_exact
% 4.42/2.03 % No. of inferences in proof: 70
% 4.42/2.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1510 ms resp. 1035 ms w/o parsing
% 4.79/2.08 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.79/2.08 % [INFO] Killing All external provers ...
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