%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : BOO007-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n006.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 12:47:32 EDT 2022
% Result : Unsatisfiable 2.86s 3.01s
% Output : Refutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of clauses : 67 ( 58 unt; 0 nHn; 50 RR)
% Number of literals : 93 ( 15 equ; 28 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 72 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ sum(A,B,C)
| sum(B,A,C) ),
file('BOO007-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ product(A,B,C)
| product(B,A,C) ),
file('BOO007-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ product(A,B,C)
| ~ product(A,D,E)
| ~ sum(B,D,F)
| ~ product(A,F,G)
| sum(C,E,G) ),
file('BOO007-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ product(A,B,C)
| ~ product(D,B,E)
| ~ sum(A,D,F)
| ~ product(F,B,G)
| sum(C,E,G) ),
file('BOO007-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ product(A,B,C)
| ~ product(D,B,E)
| ~ sum(A,D,F)
| ~ sum(C,E,G)
| product(F,B,G) ),
file('BOO007-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ sum(A,B,C)
| ~ sum(A,D,E)
| ~ product(B,D,F)
| ~ sum(A,F,G)
| product(C,E,G) ),
file('BOO007-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ sum(A,B,C)
| ~ sum(D,B,E)
| ~ product(A,D,F)
| ~ sum(F,B,G)
| product(C,E,G) ),
file('BOO007-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ sum(A,B,C)
| ~ sum(A,B,D)
| C = D ),
file('BOO007-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ product(A,B,C)
| ~ product(A,B,D)
| C = D ),
file('BOO007-1.p',unknown),
[] ).
cnf(13,axiom,
x_times__y_times_z != x_times_y__times_z,
file('BOO007-1.p',unknown),
[] ).
cnf(14,plain,
x_times_y__times_z != x_times__y_times_z,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[13])]),
[iquote('copy,13,flip.1')] ).
cnf(16,axiom,
sum(A,B,add(A,B)),
file('BOO007-1.p',unknown),
[] ).
cnf(17,axiom,
product(A,B,multiply(A,B)),
file('BOO007-1.p',unknown),
[] ).
cnf(18,axiom,
sum(additive_identity,A,A),
file('BOO007-1.p',unknown),
[] ).
cnf(19,axiom,
sum(A,additive_identity,A),
file('BOO007-1.p',unknown),
[] ).
cnf(20,axiom,
product(multiplicative_identity,A,A),
file('BOO007-1.p',unknown),
[] ).
cnf(21,axiom,
product(A,multiplicative_identity,A),
file('BOO007-1.p',unknown),
[] ).
cnf(22,axiom,
sum(inverse(A),A,multiplicative_identity),
file('BOO007-1.p',unknown),
[] ).
cnf(26,axiom,
product(y,z,y_times_z),
file('BOO007-1.p',unknown),
[] ).
cnf(27,axiom,
product(x,y_times_z,x_times__y_times_z),
file('BOO007-1.p',unknown),
[] ).
cnf(28,axiom,
product(x,y,x_times_y),
file('BOO007-1.p',unknown),
[] ).
cnf(29,axiom,
product(x_times_y,z,x_times_y__times_z),
file('BOO007-1.p',unknown),
[] ).
cnf(41,plain,
add(additive_identity,A) = A,
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[16,11,18])]),
[iquote('hyper,16,11,18,flip.1')] ).
cnf(44,plain,
product(add(multiplicative_identity,A),A,A),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[16,9,16,18,20]),41]),
[iquote('hyper,16,9,16,18,20,demod,41')] ).
cnf(56,plain,
sum(A,B,add(B,A)),
inference(hyper,[status(thm)],[16,1]),
[iquote('hyper,16,1')] ).
cnf(67,plain,
product(z,y,y_times_z),
inference(hyper,[status(thm)],[26,2]),
[iquote('hyper,26,2')] ).
cnf(82,plain,
product(y_times_z,x,x_times__y_times_z),
inference(hyper,[status(thm)],[27,2]),
[iquote('hyper,27,2')] ).
cnf(99,plain,
product(y,x,x_times_y),
inference(hyper,[status(thm)],[28,2]),
[iquote('hyper,28,2')] ).
cnf(116,plain,
product(z,x_times_y,x_times_y__times_z),
inference(hyper,[status(thm)],[29,2]),
[iquote('hyper,29,2')] ).
cnf(124,plain,
multiply(x_times_y,z) = x_times_y__times_z,
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[17,12,29])]),
[iquote('hyper,17,12,29,flip.1')] ).
cnf(126,plain,
multiply(x,y) = x_times_y,
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[17,12,28])]),
[iquote('hyper,17,12,28,flip.1')] ).
cnf(128,plain,
multiply(x,y_times_z) = x_times__y_times_z,
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[17,12,27])]),
[iquote('hyper,17,12,27,flip.1')] ).
cnf(132,plain,
multiply(A,multiplicative_identity) = A,
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[17,12,21])]),
[iquote('hyper,17,12,21,flip.1')] ).
cnf(134,plain,
multiply(multiplicative_identity,A) = A,
inference(flip,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[17,12,20])]),
[iquote('hyper,17,12,20,flip.1')] ).
cnf(210,plain,
sum(x_times__y_times_z,multiply(additive_identity,y_times_z),x_times__y_times_z),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[17,5,27,17,19]),128]),
[iquote('hyper,17,5,27,17,19,demod,128')] ).
cnf(301,plain,
product(A,B,multiply(B,A)),
inference(hyper,[status(thm)],[17,2]),
[iquote('hyper,17,2')] ).
cnf(305,plain,
multiply(z,y) = y_times_z,
inference(hyper,[status(thm)],[67,12,17]),
[iquote('hyper,67,12,17')] ).
cnf(349,plain,
multiply(y_times_z,x) = x_times__y_times_z,
inference(hyper,[status(thm)],[82,12,17]),
[iquote('hyper,82,12,17')] ).
cnf(449,plain,
sum(x_times_y__times_z,multiply(additive_identity,x_times_y),x_times_y__times_z),
inference(hyper,[status(thm)],[116,5,116,17,19]),
[iquote('hyper,116,5,116,17,19')] ).
cnf(468,plain,
sum(y_times_z,x_times_y__times_z,multiply(z,add(y,x_times_y))),
inference(hyper,[status(thm)],[116,3,67,16,17]),
[iquote('hyper,116,3,67,16,17')] ).
cnf(491,plain,
product(multiplicative_identity,add(multiplicative_identity,A),multiplicative_identity),
inference(hyper,[status(thm)],[22,9,22,16,21]),
[iquote('hyper,22,9,22,16,21')] ).
cnf(1235,plain,
sum(x,x_times_y,multiply(add(add(multiplicative_identity,x),y),x)),
inference(hyper,[status(thm)],[44,5,99,16,17]),
[iquote('hyper,44,5,99,16,17')] ).
cnf(1242,plain,
sum(z,y_times_z,multiply(add(add(multiplicative_identity,z),y),z)),
inference(hyper,[status(thm)],[44,5,26,16,17]),
[iquote('hyper,44,5,26,16,17')] ).
cnf(2271,plain,
sum(x_times_y,y,multiply(y,add(multiplicative_identity,x))),
inference(hyper,[status(thm)],[56,3,99,21,17]),
[iquote('hyper,56,3,99,21,17')] ).
cnf(2276,plain,
sum(x_times__y_times_z,y_times_z,multiply(y_times_z,add(multiplicative_identity,x))),
inference(hyper,[status(thm)],[56,3,82,21,17]),
[iquote('hyper,56,3,82,21,17')] ).
cnf(2322,plain,
sum(x_times_y__times_z,x_times_y,multiply(x_times_y,add(multiplicative_identity,z))),
inference(hyper,[status(thm)],[56,3,29,21,17]),
[iquote('hyper,56,3,29,21,17')] ).
cnf(2340,plain,
sum(y_times_z,y,multiply(y,add(multiplicative_identity,z))),
inference(hyper,[status(thm)],[56,3,26,21,17]),
[iquote('hyper,56,3,26,21,17')] ).
cnf(2392,plain,
sum(multiply(A,B),A,multiply(A,add(multiplicative_identity,B))),
inference(hyper,[status(thm)],[56,3,17,21,17]),
[iquote('hyper,56,3,17,21,17')] ).
cnf(2759,plain,
add(multiplicative_identity,A) = multiplicative_identity,
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[491,12,301]),132]),
[iquote('hyper,491,12,301,demod,132')] ).
cnf(2762,plain,
sum(multiply(A,B),A,A),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2392]),2759,132]),
[iquote('back_demod,2392,demod,2759,132')] ).
cnf(2763,plain,
sum(y_times_z,y,y),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2340]),2759,132]),
[iquote('back_demod,2340,demod,2759,132')] ).
cnf(2766,plain,
sum(x_times_y__times_z,x_times_y,x_times_y),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2322]),2759,132]),
[iquote('back_demod,2322,demod,2759,132')] ).
cnf(2768,plain,
sum(x_times__y_times_z,y_times_z,y_times_z),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2276]),2759,132]),
[iquote('back_demod,2276,demod,2759,132')] ).
cnf(2769,plain,
sum(x_times_y,y,y),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2271]),2759,132]),
[iquote('back_demod,2271,demod,2759,132')] ).
cnf(2789,plain,
sum(z,y_times_z,z),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1242]),2759,2759,134]),
[iquote('back_demod,1242,demod,2759,2759,134')] ).
cnf(2795,plain,
sum(x,x_times_y,x),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1235]),2759,2759,134]),
[iquote('back_demod,1235,demod,2759,2759,134')] ).
cnf(2852,plain,
sum(x_times__y_times_z,x_times_y,x_times_y),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[2763,5,301,301,99]),128,126]),
[iquote('hyper,2763,5,301,301,99,demod,128,126')] ).
cnf(2947,plain,
product(x_times_y,x_times_y__times_z,x_times_y__times_z),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[2766,7,56,301,449]),41]),
[iquote('hyper,2766,7,56,301,449,demod,41')] ).
cnf(3003,plain,
product(y_times_z,x_times__y_times_z,x_times__y_times_z),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[2768,7,56,301,210]),41]),
[iquote('hyper,2768,7,56,301,210,demod,41')] ).
cnf(3009,plain,
add(y,x_times_y) = y,
inference(hyper,[status(thm)],[2769,11,56]),
[iquote('hyper,2769,11,56')] ).
cnf(3027,plain,
sum(y_times_z,x_times_y__times_z,y_times_z),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[468]),3009,305]),
[iquote('back_demod,468,demod,3009,305')] ).
cnf(3274,plain,
product(z,x_times__y_times_z,x_times__y_times_z),
inference(hyper,[status(thm)],[2762,6,301,3003,2789]),
[iquote('hyper,2762,6,301,3003,2789')] ).
cnf(3279,plain,
product(x,x_times_y__times_z,x_times_y__times_z),
inference(hyper,[status(thm)],[2762,6,301,2947,2795]),
[iquote('hyper,2762,6,301,2947,2795')] ).
cnf(3363,plain,
sum(x_times__y_times_z,x_times_y__times_z,x_times_y__times_z),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[3274,3,301,2852,301]),124,124]),
[iquote('hyper,3274,3,301,2852,301,demod,124,124')] ).
cnf(3377,plain,
sum(x_times__y_times_z,x_times_y__times_z,x_times__y_times_z),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[3279,3,301,3027,301]),349,349]),
[iquote('hyper,3279,3,301,3027,301,demod,349,349')] ).
cnf(3453,plain,
x_times_y__times_z = x_times__y_times_z,
inference(hyper,[status(thm)],[3377,11,3363]),
[iquote('hyper,3377,11,3363')] ).
cnf(3455,plain,
$false,
inference(binary,[status(thm)],[3453,14]),
[iquote('binary,3453.1,14.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : BOO007-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Jul 27 02:35:47 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.65/2.23 ----- Otter 3.3f, August 2004 -----
% 1.65/2.23 The process was started by sandbox2 on n006.cluster.edu,
% 1.65/2.23 Wed Jul 27 02:35:47 2022
% 1.65/2.23 The command was "./otter". The process ID is 7531.
% 1.65/2.23
% 1.65/2.23 set(prolog_style_variables).
% 1.65/2.23 set(auto).
% 1.65/2.23 dependent: set(auto1).
% 1.65/2.23 dependent: set(process_input).
% 1.65/2.23 dependent: clear(print_kept).
% 1.65/2.23 dependent: clear(print_new_demod).
% 1.65/2.23 dependent: clear(print_back_demod).
% 1.65/2.23 dependent: clear(print_back_sub).
% 1.65/2.23 dependent: set(control_memory).
% 1.65/2.23 dependent: assign(max_mem, 12000).
% 1.65/2.23 dependent: assign(pick_given_ratio, 4).
% 1.65/2.23 dependent: assign(stats_level, 1).
% 1.65/2.23 dependent: assign(max_seconds, 10800).
% 1.65/2.23 clear(print_given).
% 1.65/2.23
% 1.65/2.23 list(usable).
% 1.65/2.23 0 [] A=A.
% 1.65/2.23 0 [] sum(X,Y,add(X,Y)).
% 1.65/2.23 0 [] product(X,Y,multiply(X,Y)).
% 1.65/2.23 0 [] -sum(X,Y,Z)|sum(Y,X,Z).
% 1.65/2.23 0 [] -product(X,Y,Z)|product(Y,X,Z).
% 1.65/2.23 0 [] sum(additive_identity,X,X).
% 1.65/2.23 0 [] sum(X,additive_identity,X).
% 1.65/2.23 0 [] product(multiplicative_identity,X,X).
% 1.65/2.23 0 [] product(X,multiplicative_identity,X).
% 1.65/2.23 0 [] -product(X,Y,V1)| -product(X,Z,V2)| -sum(Y,Z,V3)| -product(X,V3,V4)|sum(V1,V2,V4).
% 1.65/2.23 0 [] -product(X,Y,V1)| -product(X,Z,V2)| -sum(Y,Z,V3)| -sum(V1,V2,V4)|product(X,V3,V4).
% 1.65/2.23 0 [] -product(Y,X,V1)| -product(Z,X,V2)| -sum(Y,Z,V3)| -product(V3,X,V4)|sum(V1,V2,V4).
% 1.65/2.23 0 [] -product(Y,X,V1)| -product(Z,X,V2)| -sum(Y,Z,V3)| -sum(V1,V2,V4)|product(V3,X,V4).
% 1.65/2.23 0 [] -sum(X,Y,V1)| -sum(X,Z,V2)| -product(Y,Z,V3)| -sum(X,V3,V4)|product(V1,V2,V4).
% 1.65/2.23 0 [] -sum(X,Y,V1)| -sum(X,Z,V2)| -product(Y,Z,V3)| -product(V1,V2,V4)|sum(X,V3,V4).
% 1.65/2.23 0 [] -sum(Y,X,V1)| -sum(Z,X,V2)| -product(Y,Z,V3)| -sum(V3,X,V4)|product(V1,V2,V4).
% 1.65/2.23 0 [] -sum(Y,X,V1)| -sum(Z,X,V2)| -product(Y,Z,V3)| -product(V1,V2,V4)|sum(V3,X,V4).
% 1.65/2.23 0 [] sum(inverse(X),X,multiplicative_identity).
% 1.65/2.23 0 [] sum(X,inverse(X),multiplicative_identity).
% 1.65/2.23 0 [] product(inverse(X),X,additive_identity).
% 1.65/2.23 0 [] product(X,inverse(X),additive_identity).
% 1.65/2.23 0 [] -sum(X,Y,U)| -sum(X,Y,V)|U=V.
% 1.65/2.23 0 [] -product(X,Y,U)| -product(X,Y,V)|U=V.
% 1.65/2.23 0 [] product(y,z,y_times_z).
% 1.65/2.23 0 [] product(x,y_times_z,x_times__y_times_z).
% 1.65/2.23 0 [] product(x,y,x_times_y).
% 1.65/2.23 0 [] product(x_times_y,z,x_times_y__times_z).
% 1.65/2.23 0 [] x_times__y_times_z!=x_times_y__times_z.
% 1.65/2.23 end_of_list.
% 1.65/2.23
% 1.65/2.23 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=5.
% 1.65/2.23
% 1.65/2.23 This is a Horn set with equality. The strategy will be
% 1.65/2.23 Knuth-Bendix and hyper_res, with positive clauses in
% 1.65/2.23 sos and nonpositive clauses in usable.
% 1.65/2.23
% 1.65/2.23 dependent: set(knuth_bendix).
% 1.65/2.23 dependent: set(anl_eq).
% 1.65/2.23 dependent: set(para_from).
% 1.65/2.23 dependent: set(para_into).
% 1.65/2.23 dependent: clear(para_from_right).
% 1.65/2.23 dependent: clear(para_into_right).
% 1.65/2.23 dependent: set(para_from_vars).
% 1.65/2.23 dependent: set(eq_units_both_ways).
% 1.65/2.23 dependent: set(dynamic_demod_all).
% 1.65/2.23 dependent: set(dynamic_demod).
% 1.65/2.23 dependent: set(order_eq).
% 1.65/2.23 dependent: set(back_demod).
% 1.65/2.23 dependent: set(lrpo).
% 1.65/2.23 dependent: set(hyper_res).
% 1.65/2.23 dependent: clear(order_hyper).
% 1.65/2.23
% 1.65/2.23 ------------> process usable:
% 1.65/2.23 ** KEPT (pick-wt=8): 1 [] -sum(A,B,C)|sum(B,A,C).
% 1.65/2.23 ** KEPT (pick-wt=8): 2 [] -product(A,B,C)|product(B,A,C).
% 1.65/2.23 ** KEPT (pick-wt=20): 3 [] -product(A,B,C)| -product(A,D,E)| -sum(B,D,F)| -product(A,F,G)|sum(C,E,G).
% 1.65/2.23 ** KEPT (pick-wt=20): 4 [] -product(A,B,C)| -product(A,D,E)| -sum(B,D,F)| -sum(C,E,G)|product(A,F,G).
% 1.65/2.23 ** KEPT (pick-wt=20): 5 [] -product(A,B,C)| -product(D,B,E)| -sum(A,D,F)| -product(F,B,G)|sum(C,E,G).
% 1.65/2.23 ** KEPT (pick-wt=20): 6 [] -product(A,B,C)| -product(D,B,E)| -sum(A,D,F)| -sum(C,E,G)|product(F,B,G).
% 1.65/2.23 ** KEPT (pick-wt=20): 7 [] -sum(A,B,C)| -sum(A,D,E)| -product(B,D,F)| -sum(A,F,G)|product(C,E,G).
% 1.65/2.23 ** KEPT (pick-wt=20): 8 [] -sum(A,B,C)| -sum(A,D,E)| -product(B,D,F)| -product(C,E,G)|sum(A,F,G).
% 1.65/2.23 ** KEPT (pick-wt=20): 9 [] -sum(A,B,C)| -sum(D,B,E)| -product(A,D,F)| -sum(F,B,G)|product(C,E,G).
% 1.65/2.23 ** KEPT (pick-wt=20): 10 [] -sum(A,B,C)| -sum(D,B,E)| -product(A,D,F)| -product(C,E,G)|sum(F,B,G).
% 1.65/2.23 ** KEPT (pick-wt=11): 11 [] -sum(A,B,C)| -sum(A,B,D)|C=D.
% 1.65/2.23 ** KEPT (pick-wt=11): 12 [] -product(A,B,C)| -product(A,B,D)|C=D.
% 1.65/2.23 ** KEPT (pick-wt=3): 14 [copy,13,flip.1] x_times_y__times_z!=x_times__y_times_z.
% 1.65/2.23
% 1.65/2.23 ------------> process sos:
% 1.65/2.23 ** KEPT (pick-wt=3): 15 [] A=A.
% 1.65/2.23 ** KEPT (pick-wt=6): 16 [] sum(A,B,add(A,B)).
% 1.65/2.23 ** KEPT (pick-wt=6): 17 [] product(A,B,multiply(A,B)).
% 2.86/3.01 ** KEPT (pick-wt=4): 18 [] sum(additive_identity,A,A).
% 2.86/3.01 ** KEPT (pick-wt=4): 19 [] sum(A,additive_identity,A).
% 2.86/3.01 ** KEPT (pick-wt=4): 20 [] product(multiplicative_identity,A,A).
% 2.86/3.01 ** KEPT (pick-wt=4): 21 [] product(A,multiplicative_identity,A).
% 2.86/3.01 ** KEPT (pick-wt=5): 22 [] sum(inverse(A),A,multiplicative_identity).
% 2.86/3.01 ** KEPT (pick-wt=5): 23 [] sum(A,inverse(A),multiplicative_identity).
% 2.86/3.01 ** KEPT (pick-wt=5): 24 [] product(inverse(A),A,additive_identity).
% 2.86/3.01 ** KEPT (pick-wt=5): 25 [] product(A,inverse(A),additive_identity).
% 2.86/3.01 ** KEPT (pick-wt=4): 26 [] product(y,z,y_times_z).
% 2.86/3.01 ** KEPT (pick-wt=4): 27 [] product(x,y_times_z,x_times__y_times_z).
% 2.86/3.01 ** KEPT (pick-wt=4): 28 [] product(x,y,x_times_y).
% 2.86/3.01 ** KEPT (pick-wt=4): 29 [] product(x_times_y,z,x_times_y__times_z).
% 2.86/3.01 Following clause subsumed by 15 during input processing: 0 [copy,15,flip.1] A=A.
% 2.86/3.01
% 2.86/3.01 ======= end of input processing =======
% 2.86/3.01
% 2.86/3.01 =========== start of search ===========
% 2.86/3.01
% 2.86/3.01
% 2.86/3.01 Resetting weight limit to 7.
% 2.86/3.01
% 2.86/3.01
% 2.86/3.01 Resetting weight limit to 7.
% 2.86/3.01
% 2.86/3.01 sos_size=2433
% 2.86/3.01
% 2.86/3.01
% 2.86/3.01 Resetting weight limit to 6.
% 2.86/3.01
% 2.86/3.01
% 2.86/3.01 Resetting weight limit to 6.
% 2.86/3.01
% 2.86/3.01 sos_size=1353
% 2.86/3.01
% 2.86/3.01 -------- PROOF --------
% 2.86/3.01
% 2.86/3.01 ----> UNIT CONFLICT at 0.78 sec ----> 3455 [binary,3453.1,14.1] $F.
% 2.86/3.01
% 2.86/3.01 Length of proof is 45. Level of proof is 7.
% 2.86/3.01
% 2.86/3.01 ---------------- PROOF ----------------
% 2.86/3.01 % SZS status Unsatisfiable
% 2.86/3.01 % SZS output start Refutation
% See solution above
% 2.86/3.01 ------------ end of proof -------------
% 2.86/3.01
% 2.86/3.01
% 2.86/3.01 Search stopped by max_proofs option.
% 2.86/3.01
% 2.86/3.01
% 2.86/3.01 Search stopped by max_proofs option.
% 2.86/3.01
% 2.86/3.01 ============ end of search ============
% 2.86/3.01
% 2.86/3.01 -------------- statistics -------------
% 2.86/3.01 clauses given 224
% 2.86/3.01 clauses generated 192272
% 2.86/3.01 clauses kept 3330
% 2.86/3.01 clauses forward subsumed 113709
% 2.86/3.01 clauses back subsumed 236
% 2.86/3.01 Kbytes malloced 4882
% 2.86/3.01
% 2.86/3.01 ----------- times (seconds) -----------
% 2.86/3.01 user CPU time 0.78 (0 hr, 0 min, 0 sec)
% 2.86/3.01 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.86/3.01 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.86/3.01
% 2.86/3.01 That finishes the proof of the theorem.
% 2.86/3.01
% 2.86/3.01 Process 7531 finished Wed Jul 27 02:35:49 2022
% 2.86/3.01 Otter interrupted
% 2.86/3.01 PROOF FOUND
%------------------------------------------------------------------------------