TSTP Solution File: KLE174+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KLE174+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n018.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 13:00:55 EDT 2022
% Result : Unknown 2.36s 2.02s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE174+1 : TPTP v8.1.0. Released v6.4.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n018.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 06:35:01 EDT 2022
% 0.14/0.34 % CPUTime :
% 2.22/1.86 ----- Otter 3.3f, August 2004 -----
% 2.22/1.86 The process was started by sandbox2 on n018.cluster.edu,
% 2.22/1.86 Wed Jul 27 06:35:01 2022
% 2.22/1.86 The command was "./otter". The process ID is 11703.
% 2.22/1.86
% 2.22/1.86 set(prolog_style_variables).
% 2.22/1.86 set(auto).
% 2.22/1.86 dependent: set(auto1).
% 2.22/1.86 dependent: set(process_input).
% 2.22/1.86 dependent: clear(print_kept).
% 2.22/1.86 dependent: clear(print_new_demod).
% 2.22/1.86 dependent: clear(print_back_demod).
% 2.22/1.86 dependent: clear(print_back_sub).
% 2.22/1.86 dependent: set(control_memory).
% 2.22/1.86 dependent: assign(max_mem, 12000).
% 2.22/1.86 dependent: assign(pick_given_ratio, 4).
% 2.22/1.86 dependent: assign(stats_level, 1).
% 2.22/1.86 dependent: assign(max_seconds, 10800).
% 2.22/1.86 clear(print_given).
% 2.22/1.86
% 2.22/1.86 formula_list(usable).
% 2.22/1.86 all A (A=A).
% 2.22/1.86 all A B (addition(A,B)=addition(B,A)).
% 2.22/1.86 all C B A (addition(A,addition(B,C))=addition(addition(A,B),C)).
% 2.22/1.86 all A (addition(A,zero)=A).
% 2.22/1.86 all A (addition(A,A)=A).
% 2.22/1.86 all A B C (multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C)).
% 2.22/1.86 all A (multiplication(A,one)=A).
% 2.22/1.86 all A (multiplication(one,A)=A).
% 2.22/1.86 all A B C (multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C))).
% 2.22/1.86 all A B C (multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C))).
% 2.22/1.86 all A (multiplication(A,zero)=zero).
% 2.22/1.86 all A (multiplication(zero,A)=zero).
% 2.22/1.86 all A B (le_q(A,B)<->addition(A,B)=B).
% 2.22/1.86 all X0 (multiplication(antidomain(X0),X0)=zero).
% 2.22/1.86 all X0 X1 (addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))=antidomain(multiplication(X0,antidomain(antidomain(X1))))).
% 2.22/1.86 all X0 (addition(antidomain(antidomain(X0)),antidomain(X0))=one).
% 2.22/1.86 all X0 (domain(X0)=antidomain(antidomain(X0))).
% 2.22/1.86 all X0 (multiplication(X0,coantidomain(X0))=zero).
% 2.22/1.86 all X0 X1 (addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))=coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))).
% 2.22/1.86 all X0 (addition(coantidomain(coantidomain(X0)),coantidomain(X0))=one).
% 2.22/1.86 all X0 (codomain(X0)=coantidomain(coantidomain(X0))).
% 2.22/1.86 all X0 (c(X0)=antidomain(domain(X0))).
% 2.22/1.86 all X0 X1 (domain_difference(X0,X1)=multiplication(domain(X0),antidomain(X1))).
% 2.22/1.87 all X0 X1 (forward_diamond(X0,X1)=domain(multiplication(X0,domain(X1)))).
% 2.22/1.87 all X0 X1 (backward_diamond(X0,X1)=codomain(multiplication(codomain(X1),X0))).
% 2.22/1.87 all X0 X1 (forward_box(X0,X1)=c(forward_diamond(X0,c(X1)))).
% 2.22/1.87 all X0 X1 (backward_box(X0,X1)=c(backward_diamond(X0,c(X1)))).
% 2.22/1.87 all X0 (forward_diamond(X0,divergence(X0))=divergence(X0)).
% 2.22/1.87 all X0 X1 X2 (addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2)))=addition(forward_diamond(X1,domain(X0)),domain(X2))->addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2))))=addition(divergence(X1),forward_diamond(star(X1),domain(X2)))).
% 2.22/1.87 end_of_list.
% 2.22/1.87
% 2.22/1.87 -------> usable clausifies to:
% 2.22/1.87
% 2.22/1.87 list(usable).
% 2.22/1.87 0 [] A=A.
% 2.22/1.87 0 [] addition(A,B)=addition(B,A).
% 2.22/1.87 0 [] addition(A,addition(B,C))=addition(addition(A,B),C).
% 2.22/1.87 0 [] addition(A,zero)=A.
% 2.22/1.87 0 [] addition(A,A)=A.
% 2.22/1.87 0 [] multiplication(A,multiplication(B,C))=multiplication(multiplication(A,B),C).
% 2.22/1.87 0 [] multiplication(A,one)=A.
% 2.22/1.87 0 [] multiplication(one,A)=A.
% 2.22/1.87 0 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 2.22/1.87 0 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 2.22/1.87 0 [] multiplication(A,zero)=zero.
% 2.22/1.87 0 [] multiplication(zero,A)=zero.
% 2.22/1.87 0 [] -le_q(A,B)|addition(A,B)=B.
% 2.22/1.87 0 [] le_q(A,B)|addition(A,B)!=B.
% 2.22/1.87 0 [] multiplication(antidomain(X0),X0)=zero.
% 2.22/1.87 0 [] addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))=antidomain(multiplication(X0,antidomain(antidomain(X1)))).
% 2.22/1.87 0 [] addition(antidomain(antidomain(X0)),antidomain(X0))=one.
% 2.22/1.87 0 [] domain(X0)=antidomain(antidomain(X0)).
% 2.22/1.87 0 [] multiplication(X0,coantidomain(X0))=zero.
% 2.22/1.87 0 [] addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))=coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)).
% 2.22/1.87 0 [] addition(coantidomain(coantidomain(X0)),coantidomain(X0))=one.
% 2.22/1.87 0 [] codomain(X0)=coantidomain(coantidomain(X0)).
% 2.22/1.87 0 [] c(X0)=antidomain(domain(X0)).
% 2.22/1.87 0 [] domain_difference(X0,X1)=multiplication(domain(X0),antidomain(X1)).
% 2.22/1.87 0 [] forward_diamond(X0,X1)=domain(multiplication(X0,domain(X1))).
% 2.22/1.87 0 [] backward_diamond(X0,X1)=codomain(multiplication(codomain(X1),X0)).
% 2.22/1.87 0 [] forward_box(X0,X1)=c(forward_diamond(X0,c(X1))).
% 2.22/1.87 0 [] backward_box(X0,X1)=c(backward_diamond(X0,c(X1))).
% 2.22/1.87 0 [] forward_diamond(X0,divergence(X0))=divergence(X0).
% 2.22/1.87 0 [] addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2)))!=addition(forward_diamond(X1,domain(X0)),domain(X2))|addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2))))=addition(divergence(X1),forward_diamond(star(X1),domain(X2))).
% 2.22/1.87 end_of_list.
% 2.22/1.87
% 2.22/1.87 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 2.22/1.87
% 2.22/1.87 This is a Horn set with equality. The strategy will be
% 2.22/1.87 Knuth-Bendix and hyper_res, with positive clauses in
% 2.22/1.87 sos and nonpositive clauses in usable.
% 2.22/1.87
% 2.22/1.87 dependent: set(knuth_bendix).
% 2.22/1.87 dependent: set(anl_eq).
% 2.22/1.87 dependent: set(para_from).
% 2.22/1.87 dependent: set(para_into).
% 2.22/1.87 dependent: clear(para_from_right).
% 2.22/1.87 dependent: clear(para_into_right).
% 2.22/1.87 dependent: set(para_from_vars).
% 2.22/1.87 dependent: set(eq_units_both_ways).
% 2.22/1.87 dependent: set(dynamic_demod_all).
% 2.22/1.87 dependent: set(dynamic_demod).
% 2.22/1.87 dependent: set(order_eq).
% 2.22/1.87 dependent: set(back_demod).
% 2.22/1.87 dependent: set(lrpo).
% 2.22/1.87 dependent: set(hyper_res).
% 2.22/1.87 dependent: clear(order_hyper).
% 2.22/1.87
% 2.22/1.87 ------------> process usable:
% 2.22/1.87 ** KEPT (pick-wt=8): 1 [] -le_q(A,B)|addition(A,B)=B.
% 2.22/1.87 ** KEPT (pick-wt=8): 2 [] le_q(A,B)|addition(A,B)!=B.
% 2.22/1.87 ** KEPT (pick-wt=38): 3 [] addition(domain(A),addition(forward_diamond(B,domain(A)),domain(C)))!=addition(forward_diamond(B,domain(A)),domain(C))|addition(domain(A),addition(divergence(B),forward_diamond(star(B),domain(C))))=addition(divergence(B),forward_diamond(star(B),domain(C))).
% 2.22/1.87
% 2.22/1.87 ------------> process sos:
% 2.22/1.87 ** KEPT (pick-wt=3): 4 [] A=A.
% 2.22/1.87 ** KEPT (pick-wt=7): 5 [] addition(A,B)=addition(B,A).
% 2.22/1.87 ** KEPT (pick-wt=11): 7 [copy,6,flip.1] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 2.22/1.87 ---> New Demodulator: 8 [new_demod,7] addition(addition(A,B),C)=addition(A,addition(B,C)).
% 2.22/1.87 ** KEPT (pick-wt=5): 9 [] addition(A,zero)=A.
% 2.22/1.87 ---> New Demodulator: 10 [new_demod,9] addition(A,zero)=A.
% 2.22/1.87 ** KEPT (pick-wt=5): 11 [] addition(A,A)=A.
% 2.22/1.87 ---> New Demodulator: 12 [new_demod,11] addition(A,A)=A.
% 2.22/1.87 ** KEPT (pick-wt=11): 14 [copy,13,flip.1] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 2.22/1.87 ---> New Demodulator: 15 [new_demod,14] multiplication(multiplication(A,B),C)=multiplication(A,multiplication(B,C)).
% 2.22/1.87 ** KEPT (pick-wt=5): 16 [] multiplication(A,one)=A.
% 2.22/1.87 ---> New Demodulator: 17 [new_demod,16] multiplication(A,one)=A.
% 2.22/1.87 ** KEPT (pick-wt=5): 18 [] multiplication(one,A)=A.
% 2.22/1.87 ---> New Demodulator: 19 [new_demod,18] multiplication(one,A)=A.
% 2.22/1.87 ** KEPT (pick-wt=13): 20 [] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 2.22/1.87 ---> New Demodulator: 21 [new_demod,20] multiplication(A,addition(B,C))=addition(multiplication(A,B),multiplication(A,C)).
% 2.22/1.87 ** KEPT (pick-wt=13): 22 [] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 2.22/1.87 ---> New Demodulator: 23 [new_demod,22] multiplication(addition(A,B),C)=addition(multiplication(A,C),multiplication(B,C)).
% 2.22/1.87 ** KEPT (pick-wt=5): 24 [] multiplication(A,zero)=zero.
% 2.22/1.87 ---> New Demodulator: 25 [new_demod,24] multiplication(A,zero)=zero.
% 2.22/1.87 ** KEPT (pick-wt=5): 26 [] multiplication(zero,A)=zero.
% 2.22/1.87 ---> New Demodulator: 27 [new_demod,26] multiplication(zero,A)=zero.
% 2.22/1.87 ** KEPT (pick-wt=6): 28 [] multiplication(antidomain(A),A)=zero.
% 2.22/1.87 ---> New Demodulator: 29 [new_demod,28] multiplication(antidomain(A),A)=zero.
% 2.22/1.87 ** KEPT (pick-wt=18): 30 [] addition(antidomain(multiplication(A,B)),antidomain(multiplication(A,antidomain(antidomain(B)))))=antidomain(multiplication(A,antidomain(antidomain(B)))).
% 2.22/1.87 ---> New Demodulator: 31 [new_demod,30] addition(antidomain(multiplication(A,B)),antidomain(multiplication(A,antidomain(antidomain(B)))))=antidomain(multiplication(A,antidomain(antidomain(B)))).
% 2.22/1.87 ** KEPT (pick-wt=8): 32 [] addition(antidomain(antidomain(A)),antidomain(A))=one.
% 2.22/1.87 ---> New Demodulator: 33 [new_demod,32] addition(antidomain(antidomain(A)),antidomain(A))=one.
% 2.22/1.87 ** KEPT (pick-wt=6): 34 [] domain(A)=antidomain(antidomain(A)).
% 2.22/1.87 ---> New Demodulator: 35 [new_demod,34] domain(A)=antidomain(antidomain(A)).
% 2.22/1.87 ** KEPT (pick-wt=6): 36 [] multiplication(A,coantidomain(A))=zero.
% 2.22/1.87 ---> New Demodulator: 37 [new_demod,36] multiplication(A,coantidomain(A))=zero.
% 2.22/1.87 ** KEPT (pick-wt=18): 38 [] addition(coantidomain(multiplication(A,B)),coantidomain(multiplication(coantidomain(coantidomain(A)),B)))=coantidomain(multiplication(coantidomain(coantidomain(A)),B)).
% 2.22/1.87 ---> New Demodulator: 39 [new_demod,38] addition(coantidomain(multiplication(A,B)),coantidomain(multiplication(coantidomain(coantidomain(A)),B)))=coantidomain(multiplication(coantidomain(coantidomain(A)),B)).
% 2.22/1.87 ** KEPT (pick-wt=8): 40 [] addition(coantidomain(coantidomain(A)),coantidomain(A))=one.
% 2.22/1.87 ---> New Demodulator: 41 [new_demod,40] addition(coantidomain(coantidomain(A)),coantidomain(A))=one.
% 2.22/1.87 ** KEPT (pick-wt=6): 42 [] codomain(A)=coantidomain(coantidomain(A)).
% 2.22/1.87 ---> New Demodulator: 43 [new_demod,42] codomain(A)=coantidomain(coantidomain(A)).
% 2.22/1.87 ** KEPT (pick-wt=7): 45 [copy,44,demod,35] c(A)=antidomain(antidomain(antidomain(A))).
% 2.22/1.87 ---> New Demodulator: 46 [new_demod,45] c(A)=antidomain(antidomain(antidomain(A))).
% 2.22/1.87 ** KEPT (pick-wt=10): 48 [copy,47,demod,35,flip.1] multiplication(antidomain(antidomain(A)),antidomain(B))=domain_difference(A,B).
% 2.22/1.87 ---> New Demodulator: 49 [new_demod,48] multiplication(antidomain(antidomain(A)),antidomain(B))=domain_difference(A,B).
% 2.22/1.87 ** KEPT (pick-wt=11): 51 [copy,50,demod,35,35,flip.1] antidomain(antidomain(multiplication(A,antidomain(antidomain(B)))))=forward_diamond(A,B).
% 2.22/1.87 ---> New Demodulator: 52 [new_demod,51] antidomain(antidomain(multiplication(A,antidomain(antidomain(B)))))=forward_diamond(A,B).
% 2.22/1.87 ** KEPT (pick-wt=11): 54 [copy,53,demod,43,43,flip.1] coantidomain(coantidomain(multiplication(coantidomain(coantidomain(A)),B)))=backward_diamond(B,A).
% 2.22/1.87 ---> New Demodulator: 55 [new_demod,54] coantidomain(coantidomain(multiplication(coantidomain(coantidomain(A)),B)))=backward_diamond(B,A).
% 2.22/1.87 ** KEPT (pick-wt=13): 57 [copy,56,demod,46,46,flip.1] antidomain(antidomain(antidomain(forward_diamond(A,antidomain(antidomain(antidomain(B)))))))=forward_box(A,B).
% 2.22/1.87 ---> New Demodulator: 58 [new_demod,57] antidomain(antidomain(antidomain(forward_diamond(A,antidomain(antidomain(antidomain(B)))))))=forward_box(A,B).
% 2.22/1.87 ** KEPT (pick-wt=13): 60 [copy,59,demod,46,46,flip.1] antidomain(antidomain(antidomain(backward_diamond(A,antidomain(antidomain(antidomain(B)))))))=backward_box(A,B).
% 2.22/1.87 ---> New Demodulator: 61 [new_demod,60] antidomain(antidomain(antidomain(backward_diamond(A,antidomain(antidomain(antidomain(B)))))))=backward_box(A,B).
% 2.22/1.87 ** KEPT (pick-wt=7): 62 [] forward_diamond(A,divergence(A))=divergence(A).
% 2.22/1.87 ---> New Demodulator: 63 [new_demod,62] forward_diamond(A,divergence(A))=divergence(A).
% 2.22/1.87 Following clause subsumed by 4 during input processing: 0 [copy,4,flip.1] A=A.
% 2.22/1.87 Following clause subsumed by 5 during input processing: 0 [copy,5,flip.1] addition(A,B)=addition(B,A).
% 2.22/1.87 >>>> Starting back demodulation with 8.
% 2.22/1.87 >>>> Starting back demodulation with 10.
% 2.22/1.87 >>>> Starting back demodulation with 12.
% 2.22/1.87 >>>> Starting back demodulation with 15.
% 2.22/1.87 >>>> Starting back demodulation with 17.
% 2.22/1.87 >>>> Starting back demodulation with 19.
% 2.22/1.87 >>>> Starting back demodulation with 21.
% 2.22/1.87 >>>> Starting back demodulation with 23.
% 2.22/1.87 >>>> Starting back demodulation with 25.
% 2.22/1.87 >>>> Starting back demodulation with 27.
% 2.22/1.87 >>>> Starting back demodulation with 29.
% 2.22/1.87 >>>> Starting back demodulation with 31.
% 2.22/1.87 >>>> Starting back demodulation with 33.
% 2.22/1.87 >>>> Starting back demodulation with 35.
% 2.22/1.87 >> back demodulating 3 with 35.
% 2.22/1.87 >>>> Starting back demodulation with 37.
% 2.22/1.87 >>>> Starting back demodulation with 39.
% 2.22/1.87 >>>> Starting back demodulation with 41.
% 2.22/1.87 >>>> Starting back demodulation with 43.
% 2.22/1.87 >>>> Starting back demodulation with 46.
% 2.22/1.87 >>>> Starting back demodulation with 49.
% 2.22/1.87 >>>> Starting back demodulation with 52.
% 2.22/1.87 >>>> Starting back demodulation with 55.
% 2.22/1.87 >>>> Starting back demodulation with 58.
% 2.22/1.87 >>>> Starting back demodulation with 61.
% 2.36/2.02 >>>> Starting back demodulation with 63.
% 2.36/2.02
% 2.36/2.02 ======= end of input processing =======
% 2.36/2.02
% 2.36/2.02 =========== start of search ===========
% 2.36/2.02
% 2.36/2.02
% 2.36/2.02 Resetting weight limit to 8.
% 2.36/2.02
% 2.36/2.02
% 2.36/2.02 Resetting weight limit to 8.
% 2.36/2.02
% 2.36/2.02 sos_size=142
% 2.36/2.02
% 2.36/2.02
% 2.36/2.02 Resetting weight limit to 7.
% 2.36/2.02
% 2.36/2.02
% 2.36/2.02 Resetting weight limit to 7.
% 2.36/2.02
% 2.36/2.02 sos_size=133
% 2.36/2.02
% 2.36/2.02
% 2.36/2.02 Resetting weight limit to 6.
% 2.36/2.02
% 2.36/2.02
% 2.36/2.02 Resetting weight limit to 6.
% 2.36/2.02
% 2.36/2.02 sos_size=40
% 2.36/2.02
% 2.36/2.02 Search stopped because sos empty.
% 2.36/2.02
% 2.36/2.02
% 2.36/2.02 Search stopped because sos empty.
% 2.36/2.02
% 2.36/2.02 ============ end of search ============
% 2.36/2.02
% 2.36/2.02 -------------- statistics -------------
% 2.36/2.02 clauses given 264
% 2.36/2.02 clauses generated 22283
% 2.36/2.02 clauses kept 383
% 2.36/2.02 clauses forward subsumed 5180
% 2.36/2.02 clauses back subsumed 21
% 2.36/2.02 Kbytes malloced 7812
% 2.36/2.02
% 2.36/2.02 ----------- times (seconds) -----------
% 2.36/2.02 user CPU time 0.15 (0 hr, 0 min, 0 sec)
% 2.36/2.02 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.36/2.02 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.36/2.02
% 2.36/2.02 Process 11703 finished Wed Jul 27 06:35:03 2022
% 2.36/2.02 Otter interrupted
% 2.36/2.02 PROOF NOT FOUND
%------------------------------------------------------------------------------