TSTP Solution File: NUM374+3 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM374+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n012.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 13:08:10 EDT 2022
% Result : Unknown 2.73s 3.00s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM374+3 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n012.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 09:44:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.75/1.95 ----- Otter 3.3f, August 2004 -----
% 1.75/1.95 The process was started by sandbox2 on n012.cluster.edu,
% 1.75/1.95 Wed Jul 27 09:44:35 2022
% 1.75/1.95 The command was "./otter". The process ID is 13359.
% 1.75/1.95
% 1.75/1.95 set(prolog_style_variables).
% 1.75/1.95 set(auto).
% 1.75/1.95 dependent: set(auto1).
% 1.75/1.95 dependent: set(process_input).
% 1.75/1.95 dependent: clear(print_kept).
% 1.75/1.95 dependent: clear(print_new_demod).
% 1.75/1.95 dependent: clear(print_back_demod).
% 1.75/1.95 dependent: clear(print_back_sub).
% 1.75/1.95 dependent: set(control_memory).
% 1.75/1.95 dependent: assign(max_mem, 12000).
% 1.75/1.95 dependent: assign(pick_given_ratio, 4).
% 1.75/1.95 dependent: assign(stats_level, 1).
% 1.75/1.95 dependent: assign(max_seconds, 10800).
% 1.75/1.95 clear(print_given).
% 1.75/1.95
% 1.75/1.95 formula_list(usable).
% 1.75/1.95 all A (A=A).
% 1.75/1.95 all X Y (sum(X,Y)=sum(Y,X)).
% 1.75/1.95 all X Y Z (sum(X,sum(Y,Z))=sum(sum(X,Y),Z)).
% 1.75/1.95 all X (product(X,n1)=X).
% 1.75/1.95 all X Y (product(X,Y)=product(Y,X)).
% 1.75/1.95 all X Y Z (product(X,product(Y,Z))=product(product(X,Y),Z)).
% 1.75/1.95 all X Y Z (product(X,sum(Y,Z))=sum(product(X,Y),product(X,Z))).
% 1.75/1.95 all X (exponent(n1,X)=n1).
% 1.75/1.95 all X (exponent(X,n1)=X).
% 1.75/1.95 all X Y Z (exponent(X,sum(Y,Z))=product(exponent(X,Y),exponent(X,Z))).
% 1.75/1.95 all X Y Z (exponent(product(X,Y),Z)=product(exponent(X,Z),exponent(Y,Z))).
% 1.75/1.95 all X Y Z (exponent(exponent(X,Y),Z)=exponent(X,product(Y,Z))).
% 1.75/1.95 n0!=n1.
% 1.75/1.95 -(all C P Q R S B (C=product(n0,n0)&P=sum(n1,n0)&Q=sum(P,C)&R=sum(n1,product(n0,C))&S=sum(sum(n1,C),product(C,C))->product(exponent(sum(exponent(P,n0),exponent(Q,n0)),B),exponent(sum(exponent(R,B),exponent(S,B)),n0))=product(exponent(sum(exponent(P,B),exponent(Q,B)),n0),exponent(sum(exponent(R,n0),exponent(S,n0)),B)))).
% 1.75/1.95 end_of_list.
% 1.75/1.95
% 1.75/1.95 -------> usable clausifies to:
% 1.75/1.95
% 1.75/1.95 list(usable).
% 1.75/1.95 0 [] A=A.
% 1.75/1.95 0 [] sum(X,Y)=sum(Y,X).
% 1.75/1.95 0 [] sum(X,sum(Y,Z))=sum(sum(X,Y),Z).
% 1.75/1.95 0 [] product(X,n1)=X.
% 1.75/1.95 0 [] product(X,Y)=product(Y,X).
% 1.75/1.95 0 [] product(X,product(Y,Z))=product(product(X,Y),Z).
% 1.75/1.95 0 [] product(X,sum(Y,Z))=sum(product(X,Y),product(X,Z)).
% 1.75/1.95 0 [] exponent(n1,X)=n1.
% 1.75/1.95 0 [] exponent(X,n1)=X.
% 1.75/1.95 0 [] exponent(X,sum(Y,Z))=product(exponent(X,Y),exponent(X,Z)).
% 1.75/1.95 0 [] exponent(product(X,Y),Z)=product(exponent(X,Z),exponent(Y,Z)).
% 1.75/1.95 0 [] exponent(exponent(X,Y),Z)=exponent(X,product(Y,Z)).
% 1.75/1.95 0 [] n0!=n1.
% 1.75/1.95 0 [] $c6=product(n0,n0).
% 1.75/1.95 0 [] $c5=sum(n1,n0).
% 1.75/1.95 0 [] $c4=sum($c5,$c6).
% 1.75/1.95 0 [] $c3=sum(n1,product(n0,$c6)).
% 1.75/1.95 0 [] $c2=sum(sum(n1,$c6),product($c6,$c6)).
% 1.75/1.95 0 [] product(exponent(sum(exponent($c5,n0),exponent($c4,n0)),$c1),exponent(sum(exponent($c3,$c1),exponent($c2,$c1)),n0))!=product(exponent(sum(exponent($c5,$c1),exponent($c4,$c1)),n0),exponent(sum(exponent($c3,n0),exponent($c2,n0)),$c1)).
% 1.75/1.95 end_of_list.
% 1.75/1.95
% 1.75/1.95 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.75/1.95
% 1.75/1.95 All clauses are units, and equality is present; the
% 1.75/1.95 strategy will be Knuth-Bendix with positive clauses in sos.
% 1.75/1.95
% 1.75/1.95 dependent: set(knuth_bendix).
% 1.75/1.95 dependent: set(anl_eq).
% 1.75/1.95 dependent: set(para_from).
% 1.75/1.95 dependent: set(para_into).
% 1.75/1.95 dependent: clear(para_from_right).
% 1.75/1.95 dependent: clear(para_into_right).
% 1.75/1.95 dependent: set(para_from_vars).
% 1.75/1.95 dependent: set(eq_units_both_ways).
% 1.75/1.95 dependent: set(dynamic_demod_all).
% 1.75/1.95 dependent: set(dynamic_demod).
% 1.75/1.95 dependent: set(order_eq).
% 1.75/1.95 dependent: set(back_demod).
% 1.75/1.95 dependent: set(lrpo).
% 1.75/1.95
% 1.75/1.95 ------------> process usable:
% 1.75/1.95 ** KEPT (pick-wt=3): 2 [copy,1,flip.1] n1!=n0.
% 1.75/1.95 ** KEPT (pick-wt=39): 3 [] product(exponent(sum(exponent($c5,n0),exponent($c4,n0)),$c1),exponent(sum(exponent($c3,$c1),exponent($c2,$c1)),n0))!=product(exponent(sum(exponent($c5,$c1),exponent($c4,$c1)),n0),exponent(sum(exponent($c3,n0),exponent($c2,n0)),$c1)).
% 1.75/1.95
% 1.75/1.95 ------------> process sos:
% 1.75/1.95 ** KEPT (pick-wt=3): 4 [] A=A.
% 1.75/1.95 ** KEPT (pick-wt=7): 5 [] sum(A,B)=sum(B,A).
% 1.75/1.95 ** KEPT (pick-wt=11): 7 [copy,6,flip.1] sum(sum(A,B),C)=sum(A,sum(B,C)).
% 1.75/1.95 ---> New Demodulator: 8 [new_demod,7] sum(sum(A,B),C)=sum(A,sum(B,C)).
% 1.75/1.95 ** KEPT (pick-wt=5): 9 [] product(A,n1)=A.
% 1.75/1.95 ---> New Demodulator: 10 [new_demod,9] product(A,n1)=A.
% 1.75/1.95 ** KEPT (pick-wt=7): 11 [] product(A,B)=product(B,A).
% 1.75/1.95 ** KEPT (pick-wt=11): 13 [copy,12,flip.1] product(product(A,B),C)=product(A,product(B,C)).
% 1.75/1.95 ---> New Demodulator: 14 [new_demod,13] product(product(A,B),C)=product(A,product(B,C)).
% 1.75/1.95 ** KEPT (pick-wt=13): 16 [copy,15,flip.1] sum(product(A,B),product(A,C))=product(A,sum(B,C)).
% 1.75/1.95 ---> New Demodulator: 17 [new_demod,16] sum(product(A,B),product(A,C))=product(A,sum(B,C)).
% 2.73/3.00 ** KEPT (pick-wt=5): 18 [] exponent(n1,A)=n1.
% 2.73/3.00 ---> New Demodulator: 19 [new_demod,18] exponent(n1,A)=n1.
% 2.73/3.00 ** KEPT (pick-wt=5): 20 [] exponent(A,n1)=A.
% 2.73/3.00 ---> New Demodulator: 21 [new_demod,20] exponent(A,n1)=A.
% 2.73/3.00 ** KEPT (pick-wt=13): 22 [] exponent(A,sum(B,C))=product(exponent(A,B),exponent(A,C)).
% 2.73/3.00 ** KEPT (pick-wt=13): 24 [copy,23,flip.1] product(exponent(A,B),exponent(C,B))=exponent(product(A,C),B).
% 2.73/3.00 ---> New Demodulator: 25 [new_demod,24] product(exponent(A,B),exponent(C,B))=exponent(product(A,C),B).
% 2.73/3.00 ** KEPT (pick-wt=11): 26 [] exponent(exponent(A,B),C)=exponent(A,product(B,C)).
% 2.73/3.00 ** KEPT (pick-wt=5): 28 [copy,27,flip.1] product(n0,n0)=$c6.
% 2.73/3.00 ---> New Demodulator: 29 [new_demod,28] product(n0,n0)=$c6.
% 2.73/3.00 ** KEPT (pick-wt=5): 31 [copy,30,flip.1] sum(n1,n0)=$c5.
% 2.73/3.00 ---> New Demodulator: 32 [new_demod,31] sum(n1,n0)=$c5.
% 2.73/3.00 ** KEPT (pick-wt=5): 34 [copy,33,flip.1] sum($c5,$c6)=$c4.
% 2.73/3.00 ---> New Demodulator: 35 [new_demod,34] sum($c5,$c6)=$c4.
% 2.73/3.00 ** KEPT (pick-wt=7): 37 [copy,36,flip.1] sum(n1,product(n0,$c6))=$c3.
% 2.73/3.00 ---> New Demodulator: 38 [new_demod,37] sum(n1,product(n0,$c6))=$c3.
% 2.73/3.00 ** KEPT (pick-wt=9): 40 [copy,39,demod,8,flip.1] sum(n1,sum($c6,product($c6,$c6)))=$c2.
% 2.73/3.00 ---> New Demodulator: 41 [new_demod,40] sum(n1,sum($c6,product($c6,$c6)))=$c2.
% 2.73/3.00 Following clause subsumed by 4 during input processing: 0 [copy,4,flip.1] A=A.
% 2.73/3.00 Following clause subsumed by 5 during input processing: 0 [copy,5,flip.1] sum(A,B)=sum(B,A).
% 2.73/3.00 >>>> Starting back demodulation with 8.
% 2.73/3.00 >>>> Starting back demodulation with 10.
% 2.73/3.00 Following clause subsumed by 11 during input processing: 0 [copy,11,flip.1] product(A,B)=product(B,A).
% 2.73/3.00 >>>> Starting back demodulation with 14.
% 2.73/3.00 >>>> Starting back demodulation with 17.
% 2.73/3.00 >>>> Starting back demodulation with 19.
% 2.73/3.00 >>>> Starting back demodulation with 21.
% 2.73/3.00 ** KEPT (pick-wt=13): 42 [copy,22,flip.1] product(exponent(A,B),exponent(A,C))=exponent(A,sum(B,C)).
% 2.73/3.00 >>>> Starting back demodulation with 25.
% 2.73/3.00 ** KEPT (pick-wt=11): 43 [copy,26,flip.1] exponent(A,product(B,C))=exponent(exponent(A,B),C).
% 2.73/3.00 >>>> Starting back demodulation with 29.
% 2.73/3.00 >>>> Starting back demodulation with 32.
% 2.73/3.00 >>>> Starting back demodulation with 35.
% 2.73/3.00 >>>> Starting back demodulation with 38.
% 2.73/3.00 >>>> Starting back demodulation with 41.
% 2.73/3.00 Following clause subsumed by 22 during input processing: 0 [copy,42,flip.1] exponent(A,sum(B,C))=product(exponent(A,B),exponent(A,C)).
% 2.73/3.00 Following clause subsumed by 26 during input processing: 0 [copy,43,flip.1] exponent(exponent(A,B),C)=exponent(A,product(B,C)).
% 2.73/3.00
% 2.73/3.00 ======= end of input processing =======
% 2.73/3.00
% 2.73/3.00 =========== start of search ===========
% 2.73/3.00
% 2.73/3.00
% 2.73/3.00 Resetting weight limit to 11.
% 2.73/3.00
% 2.73/3.00
% 2.73/3.00 Resetting weight limit to 11.
% 2.73/3.00
% 2.73/3.00 sos_size=590
% 2.73/3.00
% 2.73/3.00 Search stopped because sos empty.
% 2.73/3.00
% 2.73/3.00
% 2.73/3.00 Search stopped because sos empty.
% 2.73/3.00
% 2.73/3.00 ============ end of search ============
% 2.73/3.00
% 2.73/3.00 -------------- statistics -------------
% 2.73/3.00 clauses given 883
% 2.73/3.00 clauses generated 200551
% 2.73/3.00 clauses kept 977
% 2.73/3.00 clauses forward subsumed 24523
% 2.73/3.00 clauses back subsumed 77
% 2.73/3.00 Kbytes malloced 7812
% 2.73/3.00
% 2.73/3.00 ----------- times (seconds) -----------
% 2.73/3.00 user CPU time 1.04 (0 hr, 0 min, 1 sec)
% 2.73/3.00 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 2.73/3.00 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 2.73/3.00
% 2.73/3.00 Process 13359 finished Wed Jul 27 09:44:38 2022
% 2.73/3.00 Otter interrupted
% 2.73/3.00 PROOF NOT FOUND
%------------------------------------------------------------------------------