TSTP Solution File: GRP285-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP285-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n016.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 : Wed Jul 27 12:56:49 EDT 2022
% Result : Unsatisfiable 16.72s 16.90s
% Output : Refutation 16.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of clauses : 38 ( 12 unt; 20 nHn; 29 RR)
% Number of literals : 85 ( 84 equ; 33 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 27 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( multiply(sk_c9,sk_c8) != sk_c7
| multiply(A,sk_c9) != sk_c8
| inverse(A) != sk_c9
| multiply(B,sk_c9) != sk_c7
| multiply(C,sk_c9) != sk_c8
| inverse(C) != sk_c9
| multiply(D,sk_c7) != sk_c8
| inverse(D) != sk_c7
| multiply(sk_c9,E) != sk_c7
| multiply(F,sk_c9) != E
| inverse(F) != sk_c9 ),
file('GRP285-1.p',unknown),
[] ).
cnf(2,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| multiply(A,sk_c9) != sk_c8
| inverse(A) != sk_c9
| multiply(B,sk_c9) != sk_c7
| multiply(C,sk_c7) != sk_c8
| inverse(C) != sk_c7 ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(copy,[status(thm)],[1])])])])])]),
[iquote('copy,1,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(3,axiom,
A = A,
file('GRP285-1.p',unknown),
[] ).
cnf(5,axiom,
multiply(identity,A) = A,
file('GRP285-1.p',unknown),
[] ).
cnf(6,axiom,
multiply(inverse(A),A) = identity,
file('GRP285-1.p',unknown),
[] ).
cnf(8,axiom,
multiply(multiply(A,B),C) = multiply(A,multiply(B,C)),
file('GRP285-1.p',unknown),
[] ).
cnf(14,axiom,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c9,sk_c6) = sk_c7 ),
file('GRP285-1.p',unknown),
[] ).
cnf(15,axiom,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c5,sk_c9) = sk_c6 ),
file('GRP285-1.p',unknown),
[] ).
cnf(16,axiom,
( multiply(sk_c9,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c9 ),
file('GRP285-1.p',unknown),
[] ).
cnf(17,axiom,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('GRP285-1.p',unknown),
[] ).
cnf(18,axiom,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c3) = sk_c9 ),
file('GRP285-1.p',unknown),
[] ).
cnf(24,axiom,
( inverse(sk_c1) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('GRP285-1.p',unknown),
[] ).
cnf(25,axiom,
( inverse(sk_c1) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('GRP285-1.p',unknown),
[] ).
cnf(39,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| multiply(A,sk_c9) != sk_c8
| inverse(A) != sk_c9
| sk_c9 != sk_c7
| multiply(B,sk_c7) != sk_c8
| inverse(B) != sk_c7 ),
inference(para_from,[status(thm),theory(equality)],[5,2]),
[iquote('para_from,4.1.1,2.4.1')] ).
cnf(45,plain,
( multiply(sk_c9,sk_c1) = identity
| inverse(sk_c3) = sk_c9 ),
inference(para_from,[status(thm),theory(equality)],[25,6]),
[iquote('para_from,25.1.1,6.1.1.1')] ).
cnf(56,plain,
multiply(inverse(A),multiply(A,B)) = B,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[8,6]),5])]),
[iquote('para_into,8.1.1.1,6.1.1,demod,5,flip.1')] ).
cnf(74,plain,
multiply(inverse(inverse(A)),B) = multiply(A,B),
inference(para_into,[status(thm),theory(equality)],[56,56]),
[iquote('para_into,56.1.1.2,56.1.1')] ).
cnf(78,plain,
multiply(A,identity) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[56,6]),74]),
[iquote('para_into,56.1.1.2,6.1.1,demod,74')] ).
cnf(197,plain,
( inverse(sk_c9) = sk_c1
| inverse(sk_c3) = sk_c9 ),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[45,56]),78]),
[iquote('para_from,45.1.1,56.1.1.2,demod,78')] ).
cnf(204,plain,
( multiply(sk_c1,sk_c9) = identity
| inverse(sk_c3) = sk_c9 ),
inference(para_from,[status(thm),theory(equality)],[197,6]),
[iquote('para_from,197.1.1,6.1.1.1')] ).
cnf(366,plain,
inverse(inverse(A)) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[74,78]),78]),
[iquote('para_into,73.1.1,77.1.1,demod,78')] ).
cnf(369,plain,
multiply(A,inverse(A)) = identity,
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[74,6])]),
[iquote('para_into,73.1.1,6.1.1,flip.1')] ).
cnf(415,plain,
( multiply(sk_c5,sk_c9) = identity
| multiply(sk_c9,sk_c8) = sk_c7 ),
inference(para_into,[status(thm),theory(equality)],[369,16]),
[iquote('para_into,369.1.1.2,16.2.1')] ).
cnf(479,plain,
( sk_c8 = identity
| inverse(sk_c3) = sk_c9 ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[204,18])]),
[iquote('para_into,204.1.1,18.1.1,factor_simp')] ).
cnf(492,plain,
( multiply(sk_c3,sk_c9) = identity
| sk_c8 = identity ),
inference(para_from,[status(thm),theory(equality)],[479,369]),
[iquote('para_from,479.2.1,369.1.1.2')] ).
cnf(583,plain,
( sk_c8 = identity
| inverse(sk_c1) = sk_c9 ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[492,24])]),
[iquote('para_into,492.1.1,24.2.1,factor_simp')] ).
cnf(584,plain,
( sk_c8 = identity
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[492,17])]),
[iquote('para_into,492.1.1,17.2.1,factor_simp')] ).
cnf(589,plain,
( multiply(sk_c1,sk_c9) = identity
| sk_c8 = identity ),
inference(para_from,[status(thm),theory(equality)],[583,369]),
[iquote('para_from,583.2.1,369.1.1.2')] ).
cnf(697,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| sk_c8 != identity
| sk_c9 != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c7 ),
inference(flip,[status(thm),theory(equality)],[inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[39,6]),366]),3])]),
[iquote('para_into,39.2.1,6.1.1,demod,366,unit_del,3,flip.2')] ).
cnf(1014,plain,
sk_c8 = identity,
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[589,584])])]),
[iquote('para_into,589.1.1,584.2.1,factor_simp,factor_simp')] ).
cnf(1218,plain,
( sk_c9 != sk_c7
| multiply(A,sk_c7) != identity
| inverse(A) != sk_c7 ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[697]),1014,78,1014,1014]),3])]),
[iquote('back_demod,697,demod,1014,78,1014,1014,unit_del,3,factor_simp')] ).
cnf(1236,plain,
( multiply(sk_c5,sk_c9) = identity
| sk_c9 = sk_c7 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[415]),1014,78]),
[iquote('back_demod,415,demod,1014,78')] ).
cnf(1291,plain,
( sk_c9 = sk_c7
| multiply(sk_c5,sk_c9) = sk_c6 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[15]),1014,78]),
[iquote('back_demod,15,demod,1014,78')] ).
cnf(1292,plain,
( sk_c9 = sk_c7
| multiply(sk_c9,sk_c6) = sk_c7 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[14]),1014,78]),
[iquote('back_demod,14,demod,1014,78')] ).
cnf(1395,plain,
( sk_c9 = sk_c7
| sk_c6 = identity ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[1291,1236])]),
[iquote('para_into,1291.2.1,1236.1.1,factor_simp')] ).
cnf(1458,plain,
sk_c9 = sk_c7,
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[1292,1395]),78])])]),
[iquote('para_into,1292.2.1.2,1395.2.1,demod,78,factor_simp,factor_simp')] ).
cnf(1538,plain,
( multiply(A,sk_c7) != identity
| inverse(A) != sk_c7 ),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1218]),1458]),3]),
[iquote('back_demod,1218,demod,1458,unit_del,3')] ).
cnf(1745,plain,
$false,
inference(hyper,[status(thm)],[1538,6,366]),
[iquote('hyper,1538,6,365')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP285-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 05:20:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.74/1.95 ----- Otter 3.3f, August 2004 -----
% 1.74/1.95 The process was started by sandbox2 on n016.cluster.edu,
% 1.74/1.95 Wed Jul 27 05:20:07 2022
% 1.74/1.95 The command was "./otter". The process ID is 26901.
% 1.74/1.95
% 1.74/1.95 set(prolog_style_variables).
% 1.74/1.95 set(auto).
% 1.74/1.95 dependent: set(auto1).
% 1.74/1.95 dependent: set(process_input).
% 1.74/1.95 dependent: clear(print_kept).
% 1.74/1.95 dependent: clear(print_new_demod).
% 1.74/1.95 dependent: clear(print_back_demod).
% 1.74/1.95 dependent: clear(print_back_sub).
% 1.74/1.95 dependent: set(control_memory).
% 1.74/1.95 dependent: assign(max_mem, 12000).
% 1.74/1.95 dependent: assign(pick_given_ratio, 4).
% 1.74/1.95 dependent: assign(stats_level, 1).
% 1.74/1.95 dependent: assign(max_seconds, 10800).
% 1.74/1.95 clear(print_given).
% 1.74/1.95
% 1.74/1.95 list(usable).
% 1.74/1.95 0 [] A=A.
% 1.74/1.95 0 [] multiply(identity,X)=X.
% 1.74/1.95 0 [] multiply(inverse(X),X)=identity.
% 1.74/1.95 0 [] multiply(multiply(X,Y),Z)=multiply(X,multiply(Y,Z)).
% 1.74/1.95 0 [] multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c3,sk_c9)=sk_c8.
% 1.74/1.95 0 [] multiply(sk_c9,sk_c8)=sk_c7|inverse(sk_c3)=sk_c9.
% 1.74/1.95 0 [] multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8.
% 1.74/1.95 0 [] multiply(sk_c9,sk_c8)=sk_c7|inverse(sk_c4)=sk_c7.
% 1.74/1.95 0 [] multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c9,sk_c6)=sk_c7.
% 1.74/1.95 0 [] multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c5,sk_c9)=sk_c6.
% 1.74/1.95 0 [] multiply(sk_c9,sk_c8)=sk_c7|inverse(sk_c5)=sk_c9.
% 1.74/1.95 0 [] multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c3,sk_c9)=sk_c8.
% 1.74/1.95 0 [] multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c3)=sk_c9.
% 1.74/1.95 0 [] multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8.
% 1.74/1.95 0 [] multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c4)=sk_c7.
% 1.74/1.95 0 [] multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c9,sk_c6)=sk_c7.
% 1.74/1.95 0 [] multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c5,sk_c9)=sk_c6.
% 1.74/1.95 0 [] multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c5)=sk_c9.
% 1.74/1.95 0 [] inverse(sk_c1)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8.
% 1.74/1.95 0 [] inverse(sk_c1)=sk_c9|inverse(sk_c3)=sk_c9.
% 1.74/1.95 0 [] inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c7)=sk_c8.
% 1.74/1.95 0 [] inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c7.
% 1.74/1.95 0 [] inverse(sk_c1)=sk_c9|multiply(sk_c9,sk_c6)=sk_c7.
% 1.74/1.95 0 [] inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c9)=sk_c6.
% 1.74/1.95 0 [] inverse(sk_c1)=sk_c9|inverse(sk_c5)=sk_c9.
% 1.74/1.95 0 [] multiply(sk_c2,sk_c9)=sk_c7|multiply(sk_c3,sk_c9)=sk_c8.
% 1.74/1.95 0 [] multiply(sk_c2,sk_c9)=sk_c7|inverse(sk_c3)=sk_c9.
% 1.74/1.95 0 [] multiply(sk_c2,sk_c9)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8.
% 1.74/1.95 0 [] multiply(sk_c2,sk_c9)=sk_c7|inverse(sk_c4)=sk_c7.
% 1.74/1.95 0 [] multiply(sk_c2,sk_c9)=sk_c7|multiply(sk_c9,sk_c6)=sk_c7.
% 1.74/1.95 0 [] multiply(sk_c2,sk_c9)=sk_c7|multiply(sk_c5,sk_c9)=sk_c6.
% 1.74/1.95 0 [] multiply(sk_c2,sk_c9)=sk_c7|inverse(sk_c5)=sk_c9.
% 1.74/1.95 0 [] multiply(sk_c9,sk_c8)!=sk_c7|multiply(X3,sk_c9)!=sk_c8|inverse(X3)!=sk_c9|multiply(X4,sk_c9)!=sk_c7|multiply(X1,sk_c9)!=sk_c8|inverse(X1)!=sk_c9|multiply(X2,sk_c7)!=sk_c8|inverse(X2)!=sk_c7|multiply(sk_c9,X5)!=sk_c7|multiply(X6,sk_c9)!=X5|inverse(X6)!=sk_c9.
% 1.74/1.95 end_of_list.
% 1.74/1.95
% 1.74/1.95 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=11.
% 1.74/1.95
% 1.74/1.95 This ia a non-Horn set with equality. The strategy will be
% 1.74/1.95 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.74/1.95 deletion, with positive clauses in sos and nonpositive
% 1.74/1.95 clauses in usable.
% 1.74/1.95
% 1.74/1.95 dependent: set(knuth_bendix).
% 1.74/1.95 dependent: set(anl_eq).
% 1.74/1.95 dependent: set(para_from).
% 1.74/1.95 dependent: set(para_into).
% 1.74/1.95 dependent: clear(para_from_right).
% 1.74/1.95 dependent: clear(para_into_right).
% 1.74/1.95 dependent: set(para_from_vars).
% 1.74/1.95 dependent: set(eq_units_both_ways).
% 1.74/1.95 dependent: set(dynamic_demod_all).
% 1.74/1.95 dependent: set(dynamic_demod).
% 1.74/1.95 dependent: set(order_eq).
% 1.74/1.95 dependent: set(back_demod).
% 1.74/1.95 dependent: set(lrpo).
% 1.74/1.95 dependent: set(hyper_res).
% 1.74/1.95 dependent: set(unit_deletion).
% 1.74/1.95 dependent: set(factor).
% 1.74/1.95
% 1.74/1.95 ------------> process usable:
% 1.74/1.95 ** KEPT (pick-wt=28): 2 [copy,1,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] multiply(sk_c9,sk_c8)!=sk_c7|multiply(A,sk_c9)!=sk_c8|inverse(A)!=sk_c9|multiply(B,sk_c9)!=sk_c7|multiply(C,sk_c7)!=sk_c8|inverse(C)!=sk_c7.
% 1.74/1.95
% 1.74/1.95 ------------> process sos:
% 1.74/1.95 ** KEPT (pick-wt=3): 3 [] A=A.
% 1.74/1.95 ** KEPT (pick-wt=5): 4 [] multiply(identity,A)=A.
% 1.74/1.95 ---> New Demodulator: 5 [new_demod,4] multiply(identity,A)=A.
% 1.74/1.95 ** KEPT (pick-wt=6): 6 [] multiply(inverse(A),A)=identity.
% 1.74/1.95 ---> New Demodulator: 7 [new_demod,6] multiply(inverse(A),A)=identity.
% 1.74/1.95 ** KEPT (pick-wt=11): 8 [] multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 1.74/1.95 ---> New Demodulator: 9 [new_demod,8] multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 16.72/16.90 ** KEPT (pick-wt=10): 10 [] multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c3,sk_c9)=sk_c8.
% 16.72/16.90 ** KEPT (pick-wt=9): 11 [] multiply(sk_c9,sk_c8)=sk_c7|inverse(sk_c3)=sk_c9.
% 16.72/16.90 ** KEPT (pick-wt=10): 12 [] multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8.
% 16.72/16.90 ** KEPT (pick-wt=9): 13 [] multiply(sk_c9,sk_c8)=sk_c7|inverse(sk_c4)=sk_c7.
% 16.72/16.90 ** KEPT (pick-wt=10): 14 [] multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c9,sk_c6)=sk_c7.
% 16.72/16.90 ** KEPT (pick-wt=10): 15 [] multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c5,sk_c9)=sk_c6.
% 16.72/16.90 ** KEPT (pick-wt=9): 16 [] multiply(sk_c9,sk_c8)=sk_c7|inverse(sk_c5)=sk_c9.
% 16.72/16.90 ** KEPT (pick-wt=10): 17 [] multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c3,sk_c9)=sk_c8.
% 16.72/16.90 ** KEPT (pick-wt=9): 18 [] multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c3)=sk_c9.
% 16.72/16.90 ** KEPT (pick-wt=10): 19 [] multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8.
% 16.72/16.90 ** KEPT (pick-wt=9): 20 [] multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c4)=sk_c7.
% 16.72/16.90 ** KEPT (pick-wt=10): 21 [] multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c9,sk_c6)=sk_c7.
% 16.72/16.90 ** KEPT (pick-wt=10): 22 [] multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c5,sk_c9)=sk_c6.
% 16.72/16.90 ** KEPT (pick-wt=9): 23 [] multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c5)=sk_c9.
% 16.72/16.90 ** KEPT (pick-wt=9): 24 [] inverse(sk_c1)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8.
% 16.72/16.90 ** KEPT (pick-wt=8): 25 [] inverse(sk_c1)=sk_c9|inverse(sk_c3)=sk_c9.
% 16.72/16.90 ** KEPT (pick-wt=9): 26 [] inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c7)=sk_c8.
% 16.72/16.90 ** KEPT (pick-wt=8): 27 [] inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c7.
% 16.72/16.90 ** KEPT (pick-wt=9): 28 [] inverse(sk_c1)=sk_c9|multiply(sk_c9,sk_c6)=sk_c7.
% 16.72/16.90 ** KEPT (pick-wt=9): 29 [] inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c9)=sk_c6.
% 16.72/16.90 ** KEPT (pick-wt=8): 30 [] inverse(sk_c1)=sk_c9|inverse(sk_c5)=sk_c9.
% 16.72/16.90 ** KEPT (pick-wt=10): 31 [] multiply(sk_c2,sk_c9)=sk_c7|multiply(sk_c3,sk_c9)=sk_c8.
% 16.72/16.90 ** KEPT (pick-wt=9): 32 [] multiply(sk_c2,sk_c9)=sk_c7|inverse(sk_c3)=sk_c9.
% 16.72/16.90 ** KEPT (pick-wt=10): 33 [] multiply(sk_c2,sk_c9)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8.
% 16.72/16.90 ** KEPT (pick-wt=9): 34 [] multiply(sk_c2,sk_c9)=sk_c7|inverse(sk_c4)=sk_c7.
% 16.72/16.90 ** KEPT (pick-wt=10): 35 [] multiply(sk_c2,sk_c9)=sk_c7|multiply(sk_c9,sk_c6)=sk_c7.
% 16.72/16.90 ** KEPT (pick-wt=10): 36 [] multiply(sk_c2,sk_c9)=sk_c7|multiply(sk_c5,sk_c9)=sk_c6.
% 16.72/16.90 ** KEPT (pick-wt=9): 37 [] multiply(sk_c2,sk_c9)=sk_c7|inverse(sk_c5)=sk_c9.
% 16.72/16.90 Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] A=A.
% 16.72/16.90 >>>> Starting back demodulation with 5.
% 16.72/16.90 >>>> Starting back demodulation with 7.
% 16.72/16.90 >>>> Starting back demodulation with 9.
% 16.72/16.90
% 16.72/16.90 ======= end of input processing =======
% 16.72/16.90
% 16.72/16.90 =========== start of search ===========
% 16.72/16.90
% 16.72/16.90 -- HEY sandbox2, WE HAVE A PROOF!! --
% 16.72/16.90
% 16.72/16.90 -----> EMPTY CLAUSE at 14.95 sec ----> 1745 [hyper,1538,6,365] $F.
% 16.72/16.90
% 16.72/16.90 Length of proof is 25. Level of proof is 14.
% 16.72/16.90
% 16.72/16.90 ---------------- PROOF ----------------
% 16.72/16.90 % SZS status Unsatisfiable
% 16.72/16.90 % SZS output start Refutation
% See solution above
% 16.72/16.90 ------------ end of proof -------------
% 16.72/16.90
% 16.72/16.90
% 16.72/16.90 Search stopped by max_proofs option.
% 16.72/16.90
% 16.72/16.90
% 16.72/16.90 Search stopped by max_proofs option.
% 16.72/16.90
% 16.72/16.90 ============ end of search ============
% 16.72/16.90
% 16.72/16.90 -------------- statistics -------------
% 16.72/16.90 clauses given 150
% 16.72/16.90 clauses generated 382152
% 16.72/16.90 clauses kept 1713
% 16.72/16.90 clauses forward subsumed 381433
% 16.72/16.90 clauses back subsumed 451
% 16.72/16.90 Kbytes malloced 1953
% 16.72/16.90
% 16.72/16.90 ----------- times (seconds) -----------
% 16.72/16.90 user CPU time 14.95 (0 hr, 0 min, 14 sec)
% 16.72/16.90 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 16.72/16.90 wall-clock time 16 (0 hr, 0 min, 16 sec)
% 16.72/16.90
% 16.72/16.90 That finishes the proof of the theorem.
% 16.72/16.90
% 16.72/16.90 Process 26901 finished Wed Jul 27 05:20:23 2022
% 16.72/16.90 Otter interrupted
% 16.72/16.90 PROOF FOUND
%------------------------------------------------------------------------------