TSTP Solution File: NUN072+2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUN072+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.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 13:10:30 EDT 2022
% Result : Unknown 27.08s 27.29s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUN072+2 : TPTP v8.1.0. Released v7.3.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 02:48:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.87/2.06 ----- Otter 3.3f, August 2004 -----
% 1.87/2.06 The process was started by sandbox on n029.cluster.edu,
% 1.87/2.06 Wed Jul 27 02:48:44 2022
% 1.87/2.06 The command was "./otter". The process ID is 12793.
% 1.87/2.06
% 1.87/2.06 set(prolog_style_variables).
% 1.87/2.06 set(auto).
% 1.87/2.06 dependent: set(auto1).
% 1.87/2.06 dependent: set(process_input).
% 1.87/2.06 dependent: clear(print_kept).
% 1.87/2.06 dependent: clear(print_new_demod).
% 1.87/2.06 dependent: clear(print_back_demod).
% 1.87/2.06 dependent: clear(print_back_sub).
% 1.87/2.06 dependent: set(control_memory).
% 1.87/2.06 dependent: assign(max_mem, 12000).
% 1.87/2.06 dependent: assign(pick_given_ratio, 4).
% 1.87/2.06 dependent: assign(stats_level, 1).
% 1.87/2.06 dependent: assign(max_seconds, 10800).
% 1.87/2.06 clear(print_given).
% 1.87/2.06
% 1.87/2.06 formula_list(usable).
% 1.87/2.06 all A (A=A).
% 1.87/2.06 exists Y24 all X19 (-r1(X19)&X19!=Y24|r1(X19)&X19=Y24).
% 1.87/2.06 all X11 exists Y21 all X12 (-r2(X11,X12)&X12!=Y21|r2(X11,X12)&X12=Y21).
% 1.87/2.06 all X13 X14 exists Y22 all X15 (-r3(X13,X14,X15)&X15!=Y22|r3(X13,X14,X15)&X15=Y22).
% 1.87/2.06 all X16 X17 exists Y23 all X18 (-r4(X16,X17,X18)&X18!=Y23|r4(X16,X17,X18)&X18=Y23).
% 1.87/2.06 all X1 X8 exists Y4 ((exists Y5 ((exists Y15 (r2(X8,Y15)&r3(X1,Y15,Y5)))&Y5=Y4))& (exists Y7 (r2(Y7,Y4)&r3(X1,X8,Y7)))).
% 1.87/2.06 all X2 X9 exists Y2 ((exists Y3 ((exists Y14 (r2(X9,Y14)&r4(X2,Y14,Y3)))&Y3=Y2))& (exists Y6 (r3(Y6,X2,Y2)&r4(X2,X9,Y6)))).
% 1.87/2.06 all X3 X10 ((all Y12 ((all Y13 (-r2(X3,Y13)|Y13!=Y12))| -r2(X10,Y12)))|X3=X10).
% 1.87/2.06 all X4 exists Y9 ((exists Y16 (r1(Y16)&r3(X4,Y16,Y9)))&Y9=X4).
% 1.87/2.06 all X5 exists Y8 ((exists Y17 (r1(Y17)&r4(X5,Y17,Y8)))& (exists Y18 (r1(Y18)&Y8=Y18))).
% 1.87/2.06 all X6 ((exists Y19 (r1(Y19)&X6=Y19))| (exists Y1 Y11 (r2(Y1,Y11)&X6=Y11))).
% 1.87/2.06 all X7 Y10 ((all Y20 (-r1(Y20)|Y20!=Y10))| -r2(X7,Y10)).
% 1.87/2.06 -(exists Y1 ((exists Y2 ((exists Y4 (r2(Y4,Y2)& (exists Y7 (r1(Y7)&r2(Y7,Y4)))))& (exists Y5 (r4(Y5,Y2,Y1)& (exists Y8 (r1(Y8)&r2(Y8,Y5)))))))& (exists Y3 (Y1=Y3& (exists Y6 (r2(Y6,Y3)& (exists Y9 (r1(Y9)&r2(Y9,Y6))))))))).
% 1.87/2.06 end_of_list.
% 1.87/2.06
% 1.87/2.06 -------> usable clausifies to:
% 1.87/2.06
% 1.87/2.06 list(usable).
% 1.87/2.06 0 [] A=A.
% 1.87/2.06 0 [] -r1(X19)|X19=$c1.
% 1.87/2.06 0 [] X19!=$c1|r1(X19).
% 1.87/2.06 0 [] -r2(X11,X12)|X12=$f1(X11).
% 1.87/2.06 0 [] X12!=$f1(X11)|r2(X11,X12).
% 1.87/2.06 0 [] -r3(X13,X14,X15)|X15=$f2(X13,X14).
% 1.87/2.06 0 [] X15!=$f2(X13,X14)|r3(X13,X14,X15).
% 1.87/2.06 0 [] -r4(X16,X17,X18)|X18=$f3(X16,X17).
% 1.87/2.06 0 [] X18!=$f3(X16,X17)|r4(X16,X17,X18).
% 1.87/2.06 0 [] r2(X8,$f4(X1,X8)).
% 1.87/2.06 0 [] r3(X1,$f4(X1,X8),$f5(X1,X8)).
% 1.87/2.06 0 [] $f5(X1,X8)=$f7(X1,X8).
% 1.87/2.06 0 [] r2($f6(X1,X8),$f7(X1,X8)).
% 1.87/2.06 0 [] r3(X1,X8,$f6(X1,X8)).
% 1.87/2.06 0 [] r2(X9,$f8(X2,X9)).
% 1.87/2.06 0 [] r4(X2,$f8(X2,X9),$f9(X2,X9)).
% 1.87/2.06 0 [] $f9(X2,X9)=$f11(X2,X9).
% 1.87/2.06 0 [] r3($f10(X2,X9),X2,$f11(X2,X9)).
% 1.87/2.06 0 [] r4(X2,X9,$f10(X2,X9)).
% 1.87/2.06 0 [] -r2(X3,Y13)|Y13!=Y12| -r2(X10,Y12)|X3=X10.
% 1.87/2.06 0 [] r1($f12(X4)).
% 1.87/2.06 0 [] r3(X4,$f12(X4),$f13(X4)).
% 1.87/2.06 0 [] $f13(X4)=X4.
% 1.87/2.06 0 [] r1($f14(X5)).
% 1.87/2.06 0 [] r4(X5,$f14(X5),$f16(X5)).
% 1.87/2.06 0 [] r1($f15(X5)).
% 1.87/2.06 0 [] $f16(X5)=$f15(X5).
% 1.87/2.06 0 [] r1($f17(X6))|r2($f19(X6),$f18(X6)).
% 1.87/2.06 0 [] r1($f17(X6))|X6=$f18(X6).
% 1.87/2.06 0 [] X6=$f17(X6)|r2($f19(X6),$f18(X6)).
% 1.87/2.06 0 [] X6=$f17(X6)|X6=$f18(X6).
% 1.87/2.06 0 [] -r1(Y20)|Y20!=Y10| -r2(X7,Y10).
% 1.87/2.06 0 [] -r2(Y4,Y2)| -r1(Y7)| -r2(Y7,Y4)| -r4(Y5,Y2,Y1)| -r1(Y8)| -r2(Y8,Y5)|Y1!=Y3| -r2(Y6,Y3)| -r1(Y9)| -r2(Y9,Y6).
% 1.87/2.06 end_of_list.
% 1.87/2.06
% 1.87/2.06 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 1.87/2.06
% 1.87/2.06 This ia a non-Horn set with equality. The strategy will be
% 1.87/2.06 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.87/2.06 deletion, with positive clauses in sos and nonpositive
% 1.87/2.06 clauses in usable.
% 1.87/2.06
% 1.87/2.06 dependent: set(knuth_bendix).
% 1.87/2.06 dependent: set(anl_eq).
% 1.87/2.06 dependent: set(para_from).
% 1.87/2.06 dependent: set(para_into).
% 1.87/2.06 dependent: clear(para_from_right).
% 1.87/2.06 dependent: clear(para_into_right).
% 1.87/2.06 dependent: set(para_from_vars).
% 1.87/2.06 dependent: set(eq_units_both_ways).
% 1.87/2.06 dependent: set(dynamic_demod_all).
% 1.87/2.06 dependent: set(dynamic_demod).
% 1.87/2.06 dependent: set(order_eq).
% 1.87/2.06 dependent: set(back_demod).
% 1.87/2.06 dependent: set(lrpo).
% 1.87/2.06 dependent: set(hyper_res).
% 1.87/2.06 dependent: set(unit_deletion).
% 1.87/2.06 dependent: set(factor).
% 1.87/2.06
% 1.87/2.06 ------------> process usable:
% 1.87/2.06 ** KEPT (pick-wt=5): 1 [] -r1(A)|A=$c1.
% 1.87/2.06 ** KEPT (pick-wt=5): 2 [] A!=$c1|r1(A).
% 1.87/2.06 ** KEPT (pick-wt=7): 3 [] -r2(A,B)|B=$f1(A).
% 1.87/2.06 ** KEPT (pick-wt=7): 4 [] A!=$f1(B)|r2(B,A).
% 1.87/2.06 ** KEPT (pick-wt=9): 5 [] -r3(A,B,C)|C=$f2(A,B).
% 1.87/2.06 ** KEPT (pick-wt=9): 6 [] A!=$f2(B,C)|r3(B,C,A).
% 1.87/2.06 ** KEPT (pick-wt=9): 7 [] -r4(A,B,C)|C=$f3(A,B).
% 1.87/2.06 ** KEPT (pick-wt=9): 8 [] A!=$f3(B,C)|r4(B,C,A).
% 27.08/27.29 ** KEPT (pick-wt=12): 9 [] -r2(A,B)|B!=C| -r2(D,C)|A=D.
% 27.08/27.29 ** KEPT (pick-wt=8): 10 [] -r1(A)|A!=B| -r2(C,B).
% 27.08/27.29 ** KEPT (pick-wt=28): 11 [] -r2(A,B)| -r1(C)| -r2(C,A)| -r4(D,B,E)| -r1(F)| -r2(F,D)|E!=G| -r2(H,G)| -r1(I)| -r2(I,H).
% 27.08/27.29
% 27.08/27.29 ------------> process sos:
% 27.08/27.29 ** KEPT (pick-wt=3): 112 [] A=A.
% 27.08/27.29 ** KEPT (pick-wt=5): 113 [] r2(A,$f4(B,A)).
% 27.08/27.29 ** KEPT (pick-wt=8): 114 [] r3(A,$f4(A,B),$f5(A,B)).
% 27.08/27.29 ** KEPT (pick-wt=7): 116 [copy,115,flip.1] $f7(A,B)=$f5(A,B).
% 27.08/27.29 ---> New Demodulator: 117 [new_demod,116] $f7(A,B)=$f5(A,B).
% 27.08/27.29 ** KEPT (pick-wt=7): 119 [copy,118,demod,117] r2($f6(A,B),$f5(A,B)).
% 27.08/27.29 ** KEPT (pick-wt=6): 120 [] r3(A,B,$f6(A,B)).
% 27.08/27.29 ** KEPT (pick-wt=5): 121 [] r2(A,$f8(B,A)).
% 27.08/27.29 ** KEPT (pick-wt=8): 122 [] r4(A,$f8(A,B),$f9(A,B)).
% 27.08/27.29 ** KEPT (pick-wt=7): 123 [] $f9(A,B)=$f11(A,B).
% 27.08/27.29 ---> New Demodulator: 124 [new_demod,123] $f9(A,B)=$f11(A,B).
% 27.08/27.29 ** KEPT (pick-wt=8): 125 [] r3($f10(A,B),A,$f11(A,B)).
% 27.08/27.29 ** KEPT (pick-wt=6): 126 [] r4(A,B,$f10(A,B)).
% 27.08/27.29 ** KEPT (pick-wt=3): 127 [] r1($f12(A)).
% 27.08/27.29 ** KEPT (pick-wt=6): 128 [] r3(A,$f12(A),$f13(A)).
% 27.08/27.29 ** KEPT (pick-wt=4): 129 [] $f13(A)=A.
% 27.08/27.29 ---> New Demodulator: 130 [new_demod,129] $f13(A)=A.
% 27.08/27.29 ** KEPT (pick-wt=3): 131 [] r1($f14(A)).
% 27.08/27.29 ** KEPT (pick-wt=6): 132 [] r4(A,$f14(A),$f16(A)).
% 27.08/27.29 ** KEPT (pick-wt=3): 133 [] r1($f15(A)).
% 27.08/27.29 ** KEPT (pick-wt=5): 134 [] $f16(A)=$f15(A).
% 27.08/27.29 ---> New Demodulator: 135 [new_demod,134] $f16(A)=$f15(A).
% 27.08/27.29 ** KEPT (pick-wt=8): 136 [] r1($f17(A))|r2($f19(A),$f18(A)).
% 27.08/27.29 ** KEPT (pick-wt=7): 138 [copy,137,flip.2] r1($f17(A))|$f18(A)=A.
% 27.08/27.29 ** KEPT (pick-wt=9): 140 [copy,139,flip.1] $f17(A)=A|r2($f19(A),$f18(A)).
% 27.08/27.29 ** KEPT (pick-wt=8): 142 [copy,141,flip.1,flip.2] $f17(A)=A|$f18(A)=A.
% 27.08/27.29 Following clause subsumed by 112 during input processing: 0 [copy,112,flip.1] A=A.
% 27.08/27.29 112 back subsumes 12.
% 27.08/27.29 >>>> Starting back demodulation with 117.
% 27.08/27.29 >>>> Starting back demodulation with 124.
% 27.08/27.29 >> back demodulating 122 with 124.
% 27.08/27.29 >>>> Starting back demodulation with 130.
% 27.08/27.29 >> back demodulating 128 with 130.
% 27.08/27.29 >>>> Starting back demodulation with 135.
% 27.08/27.29 >> back demodulating 132 with 135.
% 27.08/27.29
% 27.08/27.29 ======= end of input processing =======
% 27.08/27.29
% 27.08/27.29 =========== start of search ===========
% 27.08/27.29
% 27.08/27.29 Search stopped in tp_alloc by max_mem option.
% 27.08/27.29
% 27.08/27.29 Search stopped in tp_alloc by max_mem option.
% 27.08/27.29
% 27.08/27.29 ============ end of search ============
% 27.08/27.29
% 27.08/27.29 -------------- statistics -------------
% 27.08/27.29 clauses given 93
% 27.08/27.29 clauses generated 90265
% 27.08/27.29 clauses kept 6781
% 27.08/27.29 clauses forward subsumed 83562
% 27.08/27.29 clauses back subsumed 28
% 27.08/27.29 Kbytes malloced 11718
% 27.08/27.29
% 27.08/27.29 ----------- times (seconds) -----------
% 27.08/27.29 user CPU time 25.28 (0 hr, 0 min, 25 sec)
% 27.08/27.29 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 27.08/27.29 wall-clock time 27 (0 hr, 0 min, 27 sec)
% 27.08/27.29
% 27.08/27.29 Process 12793 finished Wed Jul 27 02:49:11 2022
% 27.08/27.29 Otter interrupted
% 27.08/27.29 PROOF NOT FOUND
%------------------------------------------------------------------------------