TSTP Solution File: PRO012+2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PRO012+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n014.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 13:10:58 EDT 2022
% Result : Theorem 2.27s 2.47s
% Output : Refutation 2.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 28 ( 15 unt; 4 nHn; 28 RR)
% Number of literals : 53 ( 2 equ; 24 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 24 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ min_precedes(A,B,C)
| ~ min_precedes(B,D,C)
| min_precedes(A,D,C) ),
file('PRO012+2.p',unknown),
[] ).
cnf(3,axiom,
( ~ occurrence_of(A,B)
| ~ root_occ(C,A)
| ~ root_occ(D,A)
| C = D ),
file('PRO012+2.p',unknown),
[] ).
cnf(20,axiom,
( root_occ(A,B)
| ~ occurrence_of(B,C)
| ~ subactivity_occurrence(A,B)
| ~ root(A,C) ),
file('PRO012+2.p',unknown),
[] ).
cnf(61,axiom,
( ~ occurrence_of(A,B)
| atomic(B)
| root(dollar_f14(B,A),B) ),
file('PRO012+2.p',unknown),
[] ).
cnf(62,axiom,
( ~ occurrence_of(A,B)
| atomic(B)
| subactivity_occurrence(dollar_f14(B,A),A) ),
file('PRO012+2.p',unknown),
[] ).
cnf(64,axiom,
( ~ occurrence_of(A,tptp0)
| occurrence_of(dollar_f17(A),tptp3) ),
file('PRO012+2.p',unknown),
[] ).
cnf(65,axiom,
( ~ occurrence_of(A,tptp0)
| root_occ(dollar_f17(A),A) ),
file('PRO012+2.p',unknown),
[] ).
cnf(67,axiom,
( ~ occurrence_of(A,tptp0)
| min_precedes(dollar_f17(A),dollar_f16(A),tptp0) ),
file('PRO012+2.p',unknown),
[] ).
cnf(68,axiom,
( ~ occurrence_of(A,tptp0)
| occurrence_of(dollar_f15(A),tptp2)
| occurrence_of(dollar_f15(A),tptp1) ),
file('PRO012+2.p',unknown),
[] ).
cnf(69,axiom,
( ~ occurrence_of(A,tptp0)
| min_precedes(dollar_f16(A),dollar_f15(A),tptp0) ),
file('PRO012+2.p',unknown),
[] ).
cnf(71,axiom,
~ atomic(tptp0),
file('PRO012+2.p',unknown),
[] ).
cnf(78,axiom,
( ~ occurrence_of(A,tptp3)
| ~ root_occ(A,dollar_c1)
| ~ occurrence_of(B,tptp2)
| ~ min_precedes(A,B,tptp0) ),
file('PRO012+2.p',unknown),
[] ).
cnf(79,axiom,
( ~ occurrence_of(A,tptp3)
| ~ root_occ(A,dollar_c1)
| ~ occurrence_of(B,tptp1)
| ~ min_precedes(A,B,tptp0) ),
file('PRO012+2.p',unknown),
[] ).
cnf(92,axiom,
occurrence_of(dollar_c1,tptp0),
file('PRO012+2.p',unknown),
[] ).
cnf(127,plain,
min_precedes(dollar_f16(dollar_c1),dollar_f15(dollar_c1),tptp0),
inference(hyper,[status(thm)],[92,69]),
[iquote('hyper,92,69')] ).
cnf(128,plain,
( occurrence_of(dollar_f15(dollar_c1),tptp2)
| occurrence_of(dollar_f15(dollar_c1),tptp1) ),
inference(hyper,[status(thm)],[92,68]),
[iquote('hyper,92,68')] ).
cnf(129,plain,
min_precedes(dollar_f17(dollar_c1),dollar_f16(dollar_c1),tptp0),
inference(hyper,[status(thm)],[92,67]),
[iquote('hyper,92,67')] ).
cnf(131,plain,
root_occ(dollar_f17(dollar_c1),dollar_c1),
inference(hyper,[status(thm)],[92,65]),
[iquote('hyper,92,65')] ).
cnf(132,plain,
occurrence_of(dollar_f17(dollar_c1),tptp3),
inference(hyper,[status(thm)],[92,64]),
[iquote('hyper,92,64')] ).
cnf(133,plain,
subactivity_occurrence(dollar_f14(tptp0,dollar_c1),dollar_c1),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[92,62]),71]),
[iquote('hyper,92,62,unit_del,71')] ).
cnf(134,plain,
root(dollar_f14(tptp0,dollar_c1),tptp0),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[92,61]),71]),
[iquote('hyper,92,61,unit_del,71')] ).
cnf(749,plain,
root_occ(dollar_f14(tptp0,dollar_c1),dollar_c1),
inference(hyper,[status(thm)],[134,20,92,133]),
[iquote('hyper,134,20,92,133')] ).
cnf(970,plain,
dollar_f17(dollar_c1) = dollar_f14(tptp0,dollar_c1),
inference(hyper,[status(thm)],[749,3,92,131]),
[iquote('hyper,749,3,92,131')] ).
cnf(1045,plain,
occurrence_of(dollar_f14(tptp0,dollar_c1),tptp3),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[132]),970]),
[iquote('back_demod,132,demod,970')] ).
cnf(1046,plain,
min_precedes(dollar_f14(tptp0,dollar_c1),dollar_f16(dollar_c1),tptp0),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[129]),970]),
[iquote('back_demod,129,demod,970')] ).
cnf(1481,plain,
min_precedes(dollar_f14(tptp0,dollar_c1),dollar_f15(dollar_c1),tptp0),
inference(hyper,[status(thm)],[1046,1,127]),
[iquote('hyper,1046,1,127')] ).
cnf(1503,plain,
occurrence_of(dollar_f15(dollar_c1),tptp1),
inference(hyper,[status(thm)],[128,78,1045,749,1481]),
[iquote('hyper,128,78,1045,749,1481')] ).
cnf(1505,plain,
$false,
inference(hyper,[status(thm)],[1503,79,1045,749,1481]),
[iquote('hyper,1503,79,1045,749,1481')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO012+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n014.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 04:57:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.92/2.08 ----- Otter 3.3f, August 2004 -----
% 1.92/2.08 The process was started by sandbox on n014.cluster.edu,
% 1.92/2.08 Wed Jul 27 04:57:54 2022
% 1.92/2.08 The command was "./otter". The process ID is 3972.
% 1.92/2.08
% 1.92/2.08 set(prolog_style_variables).
% 1.92/2.08 set(auto).
% 1.92/2.08 dependent: set(auto1).
% 1.92/2.08 dependent: set(process_input).
% 1.92/2.08 dependent: clear(print_kept).
% 1.92/2.08 dependent: clear(print_new_demod).
% 1.92/2.08 dependent: clear(print_back_demod).
% 1.92/2.08 dependent: clear(print_back_sub).
% 1.92/2.08 dependent: set(control_memory).
% 1.92/2.08 dependent: assign(max_mem, 12000).
% 1.92/2.08 dependent: assign(pick_given_ratio, 4).
% 1.92/2.08 dependent: assign(stats_level, 1).
% 1.92/2.08 dependent: assign(max_seconds, 10800).
% 1.92/2.08 clear(print_given).
% 1.92/2.08
% 1.92/2.08 formula_list(usable).
% 1.92/2.08 all A (A=A).
% 1.92/2.08 all X0 X1 X2 X3 (min_precedes(X0,X1,X3)&min_precedes(X1,X2,X3)->min_precedes(X0,X2,X3)).
% 1.92/2.08 all X4 X5 X6 (earlier(X4,X5)&earlier(X5,X6)->earlier(X4,X6)).
% 1.92/2.08 all X7 X8 X9 X10 (occurrence_of(X9,X10)&root_occ(X7,X9)&root_occ(X8,X9)->X7=X8).
% 1.92/2.08 all X11 X12 X13 X14 (occurrence_of(X13,X14)& -atomic(X14)&leaf_occ(X11,X13)&leaf_occ(X12,X13)->X11=X12).
% 1.92/2.08 all X15 X16 X17 (next_subocc(X15,X16,X17)<->min_precedes(X15,X16,X17)& -(exists X18 (min_precedes(X15,X18,X17)&min_precedes(X18,X16,X17)))).
% 1.92/2.08 all X19 X20 X21 (next_subocc(X19,X20,X21)->arboreal(X19)&arboreal(X20)).
% 1.92/2.08 all X22 X23 X24 (min_precedes(X22,X23,X24)->precedes(X22,X23)).
% 1.92/2.08 all X25 X26 X27 (min_precedes(X25,X26,X27)-> -root(X26,X27)).
% 1.92/2.08 all X28 X29 (precedes(X28,X29)<->earlier(X28,X29)&legal(X29)).
% 1.92/2.08 all X30 X31 (earlier(X30,X31)-> -earlier(X31,X30)).
% 1.92/2.08 all X32 X33 (root_occ(X32,X33)<-> (exists X34 (occurrence_of(X33,X34)&subactivity_occurrence(X32,X33)&root(X32,X34)))).
% 1.92/2.08 all X35 X36 (leaf_occ(X35,X36)<-> (exists X37 (occurrence_of(X36,X37)&subactivity_occurrence(X35,X36)&leaf(X35,X37)))).
% 1.92/2.08 all X38 X39 (root(X38,X39)->legal(X38)).
% 1.92/2.08 all X40 X41 (occurrence_of(X40,X41)-> (arboreal(X40)<->atomic(X41))).
% 1.92/2.08 all X42 X43 (leaf(X42,X43)<-> (root(X42,X43)| (exists X44 min_precedes(X44,X42,X43)))& -(exists X45 min_precedes(X42,X45,X43))).
% 1.92/2.08 all X46 X47 (atocc(X46,X47)<-> (exists X48 (subactivity(X47,X48)&atomic(X48)&occurrence_of(X46,X48)))).
% 1.92/2.08 all X49 X50 (atocc(X49,X50)&legal(X49)->root(X49,X50)).
% 1.92/2.08 all X51 (legal(X51)->arboreal(X51)).
% 1.92/2.08 all X52 (activity_occurrence(X52)-> (exists X53 (activity(X53)&occurrence_of(X52,X53)))).
% 1.92/2.08 all X54 X55 (subactivity_occurrence(X54,X55)->activity_occurrence(X54)&activity_occurrence(X55)).
% 1.92/2.08 all X56 X57 X58 (occurrence_of(X56,X58)&root_occ(X57,X56)-> -(exists X59 min_precedes(X59,X57,X58))).
% 1.92/2.08 all X60 X61 X62 (occurrence_of(X60,X62)&leaf_occ(X61,X60)-> -(exists X63 min_precedes(X61,X63,X62))).
% 1.92/2.08 all X64 X65 X66 (occurrence_of(X64,X65)&occurrence_of(X64,X66)->X65=X66).
% 1.92/2.08 all X67 X68 (leaf(X67,X68)& -atomic(X68)-> (exists X69 (occurrence_of(X69,X68)&leaf_occ(X67,X69)))).
% 1.92/2.08 all X70 X71 X72 (min_precedes(X71,X72,X70)-> (exists X73 (occurrence_of(X73,X70)&subactivity_occurrence(X71,X73)&subactivity_occurrence(X72,X73)))).
% 1.92/2.08 all X74 X75 (leaf(X74,X75)& -atomic(X75)-> (exists X76 (occurrence_of(X76,X75)&leaf_occ(X74,X76)))).
% 1.92/2.08 all X77 X78 X79 (min_precedes(X78,X79,X77)-> (exists X80 X81 (subactivity(X80,X77)&subactivity(X81,X77)&atocc(X78,X80)&atocc(X79,X81)))).
% 1.92/2.08 all X82 X83 (root(X83,X82)-> (exists X84 (subactivity(X84,X82)&atocc(X83,X84)))).
% 1.92/2.08 all X85 X86 X87 X88 (occurrence_of(X86,X85)&arboreal(X87)&arboreal(X88)&subactivity_occurrence(X87,X86)&subactivity_occurrence(X88,X86)->min_precedes(X87,X88,X85)|min_precedes(X88,X87,X85)|X87=X88).
% 1.92/2.08 all X89 X90 (occurrence_of(X90,X89)->activity(X89)&activity_occurrence(X90)).
% 1.92/2.08 all X91 X92 (occurrence_of(X92,X91)& -atomic(X91)-> (exists X93 (root(X93,X91)&subactivity_occurrence(X93,X92)))).
% 1.92/2.08 all X94 (activity(X94)->subactivity(X94,X94)).
% 1.92/2.08 all X95 (occurrence_of(X95,tptp0)-> (exists X96 X97 X98 (occurrence_of(X96,tptp3)&root_occ(X96,X95)&occurrence_of(X97,tptp4)&min_precedes(X96,X97,tptp0)& (occurrence_of(X98,tptp2)|occurrence_of(X98,tptp1))&min_precedes(X97,X98,tptp0)& (all X99 (min_precedes(X96,X99,tptp0)->X99=X97|X99=X98))))).
% 1.92/2.08 activity(tptp0).
% 1.92/2.08 -atomic(tptp0).
% 1.92/2.08 atomic(tptp4).
% 1.92/2.08 atomic(tptp2).
% 1.92/2.08 atomic(tptp1).
% 1.92/2.08 atomic(tptp3).
% 1.92/2.08 tptp4!=tptp3.
% 1.92/2.08 tptp4!=tptp2.
% 1.92/2.08 tptp4!=tptp1.
% 1.92/2.08 tptp3!=tptp2.
% 1.92/2.08 tptp3!=tptp1.
% 1.92/2.08 tptp2!=tptp1.
% 1.92/2.08 -(all X100 (occurrence_of(X100,tptp0)-> (exists X101 X102 (occurrence_of(X101,tptp3)&root_occ(X101,X100)& (occurrence_of(X102,tptp2)|occurrence_of(X102,tptp1))&min_precedes(X101,X102,tptp0))))).
% 1.92/2.08 end_of_list.
% 1.92/2.08
% 1.92/2.08 -------> usable clausifies to:
% 1.92/2.08
% 1.92/2.08 list(usable).
% 1.92/2.08 0 [] A=A.
% 1.92/2.08 0 [] -min_precedes(X0,X1,X3)| -min_precedes(X1,X2,X3)|min_precedes(X0,X2,X3).
% 1.92/2.08 0 [] -earlier(X4,X5)| -earlier(X5,X6)|earlier(X4,X6).
% 1.92/2.08 0 [] -occurrence_of(X9,X10)| -root_occ(X7,X9)| -root_occ(X8,X9)|X7=X8.
% 1.92/2.08 0 [] -occurrence_of(X13,X14)|atomic(X14)| -leaf_occ(X11,X13)| -leaf_occ(X12,X13)|X11=X12.
% 1.92/2.08 0 [] -next_subocc(X15,X16,X17)|min_precedes(X15,X16,X17).
% 1.92/2.08 0 [] -next_subocc(X15,X16,X17)| -min_precedes(X15,X18,X17)| -min_precedes(X18,X16,X17).
% 1.92/2.08 0 [] next_subocc(X15,X16,X17)| -min_precedes(X15,X16,X17)|min_precedes(X15,$f1(X15,X16,X17),X17).
% 1.92/2.08 0 [] next_subocc(X15,X16,X17)| -min_precedes(X15,X16,X17)|min_precedes($f1(X15,X16,X17),X16,X17).
% 1.92/2.08 0 [] -next_subocc(X19,X20,X21)|arboreal(X19).
% 1.92/2.08 0 [] -next_subocc(X19,X20,X21)|arboreal(X20).
% 1.92/2.08 0 [] -min_precedes(X22,X23,X24)|precedes(X22,X23).
% 1.92/2.08 0 [] -min_precedes(X25,X26,X27)| -root(X26,X27).
% 1.92/2.08 0 [] -precedes(X28,X29)|earlier(X28,X29).
% 1.92/2.08 0 [] -precedes(X28,X29)|legal(X29).
% 1.92/2.08 0 [] precedes(X28,X29)| -earlier(X28,X29)| -legal(X29).
% 1.92/2.08 0 [] -earlier(X30,X31)| -earlier(X31,X30).
% 1.92/2.08 0 [] -root_occ(X32,X33)|occurrence_of(X33,$f2(X32,X33)).
% 1.92/2.08 0 [] -root_occ(X32,X33)|subactivity_occurrence(X32,X33).
% 1.92/2.08 0 [] -root_occ(X32,X33)|root(X32,$f2(X32,X33)).
% 1.92/2.08 0 [] root_occ(X32,X33)| -occurrence_of(X33,X34)| -subactivity_occurrence(X32,X33)| -root(X32,X34).
% 1.92/2.08 0 [] -leaf_occ(X35,X36)|occurrence_of(X36,$f3(X35,X36)).
% 1.92/2.08 0 [] -leaf_occ(X35,X36)|subactivity_occurrence(X35,X36).
% 1.92/2.08 0 [] -leaf_occ(X35,X36)|leaf(X35,$f3(X35,X36)).
% 1.92/2.08 0 [] leaf_occ(X35,X36)| -occurrence_of(X36,X37)| -subactivity_occurrence(X35,X36)| -leaf(X35,X37).
% 1.92/2.08 0 [] -root(X38,X39)|legal(X38).
% 1.92/2.08 0 [] -occurrence_of(X40,X41)| -arboreal(X40)|atomic(X41).
% 1.92/2.08 0 [] -occurrence_of(X40,X41)|arboreal(X40)| -atomic(X41).
% 1.92/2.08 0 [] -leaf(X42,X43)|root(X42,X43)|min_precedes($f4(X42,X43),X42,X43).
% 1.92/2.08 0 [] -leaf(X42,X43)| -min_precedes(X42,X45,X43).
% 1.92/2.08 0 [] leaf(X42,X43)| -root(X42,X43)|min_precedes(X42,$f5(X42,X43),X43).
% 1.92/2.08 0 [] leaf(X42,X43)| -min_precedes(X44,X42,X43)|min_precedes(X42,$f5(X42,X43),X43).
% 1.92/2.08 0 [] -atocc(X46,X47)|subactivity(X47,$f6(X46,X47)).
% 1.92/2.08 0 [] -atocc(X46,X47)|atomic($f6(X46,X47)).
% 1.92/2.08 0 [] -atocc(X46,X47)|occurrence_of(X46,$f6(X46,X47)).
% 1.92/2.08 0 [] atocc(X46,X47)| -subactivity(X47,X48)| -atomic(X48)| -occurrence_of(X46,X48).
% 1.92/2.08 0 [] -atocc(X49,X50)| -legal(X49)|root(X49,X50).
% 1.92/2.08 0 [] -legal(X51)|arboreal(X51).
% 1.92/2.08 0 [] -activity_occurrence(X52)|activity($f7(X52)).
% 1.92/2.08 0 [] -activity_occurrence(X52)|occurrence_of(X52,$f7(X52)).
% 1.92/2.08 0 [] -subactivity_occurrence(X54,X55)|activity_occurrence(X54).
% 1.92/2.08 0 [] -subactivity_occurrence(X54,X55)|activity_occurrence(X55).
% 1.92/2.08 0 [] -occurrence_of(X56,X58)| -root_occ(X57,X56)| -min_precedes(X59,X57,X58).
% 1.92/2.08 0 [] -occurrence_of(X60,X62)| -leaf_occ(X61,X60)| -min_precedes(X61,X63,X62).
% 1.92/2.08 0 [] -occurrence_of(X64,X65)| -occurrence_of(X64,X66)|X65=X66.
% 1.92/2.08 0 [] -leaf(X67,X68)|atomic(X68)|occurrence_of($f8(X67,X68),X68).
% 1.92/2.08 0 [] -leaf(X67,X68)|atomic(X68)|leaf_occ(X67,$f8(X67,X68)).
% 1.92/2.08 0 [] -min_precedes(X71,X72,X70)|occurrence_of($f9(X70,X71,X72),X70).
% 1.92/2.08 0 [] -min_precedes(X71,X72,X70)|subactivity_occurrence(X71,$f9(X70,X71,X72)).
% 1.92/2.08 0 [] -min_precedes(X71,X72,X70)|subactivity_occurrence(X72,$f9(X70,X71,X72)).
% 1.92/2.08 0 [] -leaf(X74,X75)|atomic(X75)|occurrence_of($f10(X74,X75),X75).
% 1.92/2.08 0 [] -leaf(X74,X75)|atomic(X75)|leaf_occ(X74,$f10(X74,X75)).
% 1.92/2.08 0 [] -min_precedes(X78,X79,X77)|subactivity($f12(X77,X78,X79),X77).
% 1.92/2.08 0 [] -min_precedes(X78,X79,X77)|subactivity($f11(X77,X78,X79),X77).
% 1.92/2.08 0 [] -min_precedes(X78,X79,X77)|atocc(X78,$f12(X77,X78,X79)).
% 1.92/2.08 0 [] -min_precedes(X78,X79,X77)|atocc(X79,$f11(X77,X78,X79)).
% 1.92/2.08 0 [] -root(X83,X82)|subactivity($f13(X82,X83),X82).
% 1.92/2.08 0 [] -root(X83,X82)|atocc(X83,$f13(X82,X83)).
% 1.92/2.08 0 [] -occurrence_of(X86,X85)| -arboreal(X87)| -arboreal(X88)| -subactivity_occurrence(X87,X86)| -subactivity_occurrence(X88,X86)|min_precedes(X87,X88,X85)|min_precedes(X88,X87,X85)|X87=X88.
% 1.92/2.08 0 [] -occurrence_of(X90,X89)|activity(X89).
% 1.92/2.08 0 [] -occurrence_of(X90,X89)|activity_occurrence(X90).
% 1.92/2.08 0 [] -occurrence_of(X92,X91)|atomic(X91)|root($f14(X91,X92),X91).
% 1.92/2.08 0 [] -occurrence_of(X92,X91)|atomic(X91)|subactivity_occurrence($f14(X91,X92),X92).
% 1.92/2.08 0 [] -activity(X94)|subactivity(X94,X94).
% 1.92/2.08 0 [] -occurrence_of(X95,tptp0)|occurrence_of($f17(X95),tptp3).
% 1.92/2.08 0 [] -occurrence_of(X95,tptp0)|root_occ($f17(X95),X95).
% 1.92/2.08 0 [] -occurrence_of(X95,tptp0)|occurrence_of($f16(X95),tptp4).
% 1.92/2.08 0 [] -occurrence_of(X95,tptp0)|min_precedes($f17(X95),$f16(X95),tptp0).
% 1.92/2.08 0 [] -occurrence_of(X95,tptp0)|occurrence_of($f15(X95),tptp2)|occurrence_of($f15(X95),tptp1).
% 1.92/2.08 0 [] -occurrence_of(X95,tptp0)|min_precedes($f16(X95),$f15(X95),tptp0).
% 1.92/2.08 0 [] -occurrence_of(X95,tptp0)| -min_precedes($f17(X95),X99,tptp0)|X99=$f16(X95)|X99=$f15(X95).
% 1.92/2.08 0 [] activity(tptp0).
% 1.92/2.08 0 [] -atomic(tptp0).
% 1.92/2.08 0 [] atomic(tptp4).
% 1.92/2.08 0 [] atomic(tptp2).
% 1.92/2.08 0 [] atomic(tptp1).
% 1.92/2.08 0 [] atomic(tptp3).
% 1.92/2.08 0 [] tptp4!=tptp3.
% 1.92/2.08 0 [] tptp4!=tptp2.
% 1.92/2.08 0 [] tptp4!=tptp1.
% 1.92/2.08 0 [] tptp3!=tptp2.
% 1.92/2.08 0 [] tptp3!=tptp1.
% 1.92/2.08 0 [] tptp2!=tptp1.
% 1.92/2.08 0 [] occurrence_of($c1,tptp0).
% 1.92/2.08 0 [] -occurrence_of(X101,tptp3)| -root_occ(X101,$c1)| -occurrence_of(X102,tptp2)| -min_precedes(X101,X102,tptp0).
% 1.92/2.08 0 [] -occurrence_of(X101,tptp3)| -root_occ(X101,$c1)| -occurrence_of(X102,tptp1)| -min_precedes(X101,X102,tptp0).
% 1.92/2.08 end_of_list.
% 1.92/2.08
% 1.92/2.08 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 1.92/2.08
% 1.92/2.08 This ia a non-Horn set with equality. The strategy will be
% 1.92/2.08 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.92/2.08 deletion, with positive clauses in sos and nonpositive
% 1.92/2.08 clauses in usable.
% 1.92/2.08
% 1.92/2.08 dependent: set(knuth_bendix).
% 1.92/2.08 dependent: set(anl_eq).
% 1.92/2.08 dependent: set(para_from).
% 1.92/2.08 dependent: set(para_into).
% 1.92/2.08 dependent: clear(para_from_right).
% 1.92/2.08 dependent: clear(para_into_right).
% 1.92/2.08 dependent: set(para_from_vars).
% 1.92/2.08 dependent: set(eq_units_both_ways).
% 1.92/2.08 dependent: set(dynamic_demod_all).
% 1.92/2.08 dependent: set(dynamic_demod).
% 1.92/2.08 dependent: set(order_eq).
% 1.92/2.08 dependent: set(back_demod).
% 1.92/2.08 dependent: set(lrpo).
% 1.92/2.08 dependent: set(hyper_res).
% 1.92/2.08 dependent: set(unit_deletion).
% 1.92/2.08 dependent: set(factor).
% 1.92/2.08
% 1.92/2.08 ------------> process usable:
% 1.92/2.08 ** KEPT (pick-wt=12): 1 [] -min_precedes(A,B,C)| -min_precedes(B,D,C)|min_precedes(A,D,C).
% 1.92/2.08 ** KEPT (pick-wt=9): 2 [] -earlier(A,B)| -earlier(B,C)|earlier(A,C).
% 1.92/2.08 ** KEPT (pick-wt=12): 3 [] -occurrence_of(A,B)| -root_occ(C,A)| -root_occ(D,A)|C=D.
% 1.92/2.08 ** KEPT (pick-wt=14): 4 [] -occurrence_of(A,B)|atomic(B)| -leaf_occ(C,A)| -leaf_occ(D,A)|C=D.
% 1.92/2.08 ** KEPT (pick-wt=8): 5 [] -next_subocc(A,B,C)|min_precedes(A,B,C).
% 1.92/2.08 ** KEPT (pick-wt=12): 6 [] -next_subocc(A,B,C)| -min_precedes(A,D,C)| -min_precedes(D,B,C).
% 1.92/2.08 ** KEPT (pick-wt=15): 7 [] next_subocc(A,B,C)| -min_precedes(A,B,C)|min_precedes(A,$f1(A,B,C),C).
% 1.92/2.08 ** KEPT (pick-wt=15): 8 [] next_subocc(A,B,C)| -min_precedes(A,B,C)|min_precedes($f1(A,B,C),B,C).
% 1.92/2.08 ** KEPT (pick-wt=6): 9 [] -next_subocc(A,B,C)|arboreal(A).
% 1.92/2.08 ** KEPT (pick-wt=6): 10 [] -next_subocc(A,B,C)|arboreal(B).
% 1.92/2.08 ** KEPT (pick-wt=7): 11 [] -min_precedes(A,B,C)|precedes(A,B).
% 1.92/2.08 ** KEPT (pick-wt=7): 12 [] -min_precedes(A,B,C)| -root(B,C).
% 1.92/2.08 ** KEPT (pick-wt=6): 13 [] -precedes(A,B)|earlier(A,B).
% 1.92/2.08 ** KEPT (pick-wt=5): 14 [] -precedes(A,B)|legal(B).
% 1.92/2.08 ** KEPT (pick-wt=8): 15 [] precedes(A,B)| -earlier(A,B)| -legal(B).
% 1.92/2.08 ** KEPT (pick-wt=6): 16 [] -earlier(A,B)| -earlier(B,A).
% 1.92/2.08 ** KEPT (pick-wt=8): 17 [] -root_occ(A,B)|occurrence_of(B,$f2(A,B)).
% 1.92/2.08 ** KEPT (pick-wt=6): 18 [] -root_occ(A,B)|subactivity_occurrence(A,B).
% 1.92/2.08 ** KEPT (pick-wt=8): 19 [] -root_occ(A,B)|root(A,$f2(A,B)).
% 1.92/2.08 ** KEPT (pick-wt=12): 20 [] root_occ(A,B)| -occurrence_of(B,C)| -subactivity_occurrence(A,B)| -root(A,C).
% 1.92/2.08 ** KEPT (pick-wt=8): 21 [] -leaf_occ(A,B)|occurrence_of(B,$f3(A,B)).
% 1.92/2.08 ** KEPT (pick-wt=6): 22 [] -leaf_occ(A,B)|subactivity_occurrence(A,B).
% 1.92/2.08 ** KEPT (pick-wt=8): 23 [] -leaf_occ(A,B)|leaf(A,$f3(A,B)).
% 1.92/2.08 ** KEPT (pick-wt=12): 24 [] leaf_occ(A,B)| -occurrence_of(B,C)| -subactivity_occurrence(A,B)| -leaf(A,C).
% 1.92/2.08 ** KEPT (pick-wt=5): 25 [] -root(A,B)|legal(A).
% 1.92/2.08 ** KEPT (pick-wt=7): 26 [] -occurrence_of(A,B)| -arboreal(A)|atomic(B).
% 1.92/2.08 ** KEPT (pick-wt=7): 27 [] -occurrence_of(A,B)|arboreal(A)| -atomic(B).
% 1.92/2.08 ** KEPT (pick-wt=12): 28 [] -leaf(A,B)|root(A,B)|min_precedes($f4(A,B),A,B).
% 1.92/2.08 ** KEPT (pick-wt=7): 29 [] -leaf(A,B)| -min_precedes(A,C,B).
% 1.92/2.08 ** KEPT (pick-wt=12): 30 [] leaf(A,B)| -root(A,B)|min_precedes(A,$f5(A,B),B).
% 1.92/2.08 ** KEPT (pick-wt=13): 31 [] leaf(A,B)| -min_precedes(C,A,B)|min_precedes(A,$f5(A,B),B).
% 1.92/2.08 ** KEPT (pick-wt=8): 32 [] -atocc(A,B)|subactivity(B,$f6(A,B)).
% 1.92/2.08 ** KEPT (pick-wt=7): 33 [] -atocc(A,B)|atomic($f6(A,B)).
% 1.92/2.08 ** KEPT (pick-wt=8): 34 [] -atocc(A,B)|occurrence_of(A,$f6(A,B)).
% 1.92/2.08 ** KEPT (pick-wt=11): 35 [] atocc(A,B)| -subactivity(B,C)| -atomic(C)| -occurrence_of(A,C).
% 1.92/2.08 ** KEPT (pick-wt=8): 36 [] -atocc(A,B)| -legal(A)|root(A,B).
% 1.92/2.08 ** KEPT (pick-wt=4): 37 [] -legal(A)|arboreal(A).
% 1.92/2.08 ** KEPT (pick-wt=5): 38 [] -activity_occurrence(A)|activity($f7(A)).
% 1.92/2.08 ** KEPT (pick-wt=6): 39 [] -activity_occurrence(A)|occurrence_of(A,$f7(A)).
% 1.92/2.08 ** KEPT (pick-wt=5): 40 [] -subactivity_occurrence(A,B)|activity_occurrence(A).
% 1.92/2.08 ** KEPT (pick-wt=5): 41 [] -subactivity_occurrence(A,B)|activity_occurrence(B).
% 1.92/2.08 ** KEPT (pick-wt=10): 42 [] -occurrence_of(A,B)| -root_occ(C,A)| -min_precedes(D,C,B).
% 1.92/2.08 ** KEPT (pick-wt=10): 43 [] -occurrence_of(A,B)| -leaf_occ(C,A)| -min_precedes(C,D,B).
% 1.92/2.08 ** KEPT (pick-wt=9): 44 [] -occurrence_of(A,B)| -occurrence_of(A,C)|B=C.
% 1.92/2.08 ** KEPT (pick-wt=10): 45 [] -leaf(A,B)|atomic(B)|occurrence_of($f8(A,B),B).
% 1.92/2.08 ** KEPT (pick-wt=10): 46 [] -leaf(A,B)|atomic(B)|leaf_occ(A,$f8(A,B)).
% 1.92/2.08 ** KEPT (pick-wt=10): 47 [] -min_precedes(A,B,C)|occurrence_of($f9(C,A,B),C).
% 1.92/2.08 ** KEPT (pick-wt=10): 48 [] -min_precedes(A,B,C)|subactivity_occurrence(A,$f9(C,A,B)).
% 1.92/2.08 ** KEPT (pick-wt=10): 49 [] -min_precedes(A,B,C)|subactivity_occurrence(B,$f9(C,A,B)).
% 1.92/2.08 ** KEPT (pick-wt=10): 50 [] -leaf(A,B)|atomic(B)|occurrence_of($f10(A,B),B).
% 1.92/2.08 ** KEPT (pick-wt=10): 51 [] -leaf(A,B)|atomic(B)|leaf_occ(A,$f10(A,B)).
% 1.92/2.08 ** KEPT (pick-wt=10): 52 [] -min_precedes(A,B,C)|subactivity($f12(C,A,B),C).
% 1.92/2.08 ** KEPT (pick-wt=10): 53 [] -min_precedes(A,B,C)|subactivity($f11(C,A,B),C).
% 1.92/2.08 ** KEPT (pick-wt=10): 54 [] -min_precedes(A,B,C)|atocc(A,$f12(C,A,B)).
% 1.92/2.08 ** KEPT (pick-wt=10): 55 [] -min_precedes(A,B,C)|atocc(B,$f11(C,A,B)).
% 1.92/2.08 ** KEPT (pick-wt=8): 56 [] -root(A,B)|subactivity($f13(B,A),B).
% 1.92/2.08 ** KEPT (pick-wt=8): 57 [] -root(A,B)|atocc(A,$f13(B,A)).
% 1.92/2.08 ** KEPT (pick-wt=24): 58 [] -occurrence_of(A,B)| -arboreal(C)| -arboreal(D)| -subactivity_occurrence(C,A)| -subactivity_occurrence(D,A)|min_precedes(C,D,B)|min_precedes(D,C,B)|C=D.
% 1.92/2.08 ** KEPT (pick-wt=5): 59 [] -occurrence_of(A,B)|activity(B).
% 1.92/2.08 ** KEPT (pick-wt=5): 60 [] -occurrence_of(A,B)|activity_occurrence(A).
% 1.92/2.08 ** KEPT (pick-wt=10): 61 [] -occurrence_of(A,B)|atomic(B)|root($f14(B,A),B).
% 1.92/2.08 ** KEPT (pick-wt=10): 62 [] -occurrence_of(A,B)|atomic(B)|subactivity_occurrence($f14(B,A),A).
% 1.92/2.08 ** KEPT (pick-wt=5): 63 [] -activity(A)|subactivity(A,A).
% 1.92/2.08 ** KEPT (pick-wt=7): 64 [] -occurrence_of(A,tptp0)|occurrence_of($f17(A),tptp3).
% 1.92/2.08 ** KEPT (pick-wt=7): 65 [] -occurrence_of(A,tptp0)|root_occ($f17(A),A).
% 1.92/2.08 ** KEPT (pick-wt=7): 66 [] -occurrence_of(A,tptp0)|occurrence_of($f16(A),tptp4).
% 1.92/2.08 ** KEPT (pick-wt=9): 67 [] -occurrence_of(A,tptp0)|min_precedes($f17(A),$f16(A),tptp0).
% 1.92/2.08 ** KEPT (pick-wt=11): 68 [] -occurrence_of(A,tptp0)|occurrence_of($f15(A),tptp2)|occurrence_of($f15(A),tptp1).
% 1.92/2.08 ** KEPT (pick-wt=9): 69 [] -occurrence_of(A,tptp0)|min_precedes($f16(A),$f15(A),tptp0).
% 1.92/2.08 ** KEPT (pick-wt=16): 70 [] -occurrence_of(A,tptp0)| -min_precedes($f17(A),B,tptp0)|B=$f16(A)|B=$f15(A).
% 1.92/2.08 ** KEPT (pick-wt=2): 71 [] -atomic(tptp0).
% 1.92/2.08 ** KEPT (pick-wt=3): 72 [] tptp4!=tptp3.
% 1.92/2.08 ** KEPT (pick-wt=3): 73 [] tptp4!=tptp2.
% 1.92/2.08 ** KEPT (pick-wt=3): 74 [] tptp4!=tptp1.
% 1.92/2.08 ** KEPT (pick-wt=3): 75 [] tptp3!=tptp2.
% 1.92/2.08 ** KEPT (pick-wt=3): 76 [] tptp3!=tptp1.
% 1.92/2.08 ** KEPT (pick-wt=3): 77 [] tptp2!=tptp1.
% 1.92/2.08 ** KEPT (pick-wt=13): 78 [] -occurrence_of(A,tptp3)| -root_occ(A,$c1)| -occurrence_of(B,tptp2)| -min_precedes(A,B,tptp0).
% 1.92/2.08 ** KEPT (pick-wt=13): 79 [] -occurrence_of(A,tptp3)| -root_occ(A,$c1)| -occurrence_of(B,tptp1)| -min_precedes(A,B,tptp0).
% 1.92/2.08
% 1.92/2.08 ------------> process sos:
% 1.92/2.08 ** KEPT (pick-wt=3): 86 [] A=A.
% 1.92/2.08 ** KEPT (pick-wt=2): 87 [] activity(tptp0).
% 1.92/2.08 ** KEPT (pick-wt=2): 88 [] atomic(tptp4).
% 1.92/2.08 ** KEPT (pick-wt=2): 89 [] atomic(tptp2).
% 1.92/2.08 ** KEPT (pick-wt=2): 90 [] atomic(tptp1).
% 1.92/2.08 ** KEPT (pick-wt=2): 91 [] atomic(tptp3).
% 1.92/2.08 ** KEPT (pick-wt=3): 92 [] occurrence_of($c1,tptp0).
% 2.27/2.47 Following clause subsumed by 86 during input processing: 0 [copy,86,flip.1] A=A.
% 2.27/2.47 86 back subsumes 85.
% 2.27/2.47 86 back subsumes 84.
% 2.27/2.47 86 back subsumes 81.
% 2.27/2.47 86 back subsumes 80.
% 2.27/2.47
% 2.27/2.47 ======= end of input processing =======
% 2.27/2.47
% 2.27/2.47 =========== start of search ===========
% 2.27/2.47
% 2.27/2.47
% 2.27/2.47 Resetting weight limit to 10.
% 2.27/2.47
% 2.27/2.47
% 2.27/2.47 Resetting weight limit to 10.
% 2.27/2.47
% 2.27/2.47 sos_size=1168
% 2.27/2.47
% 2.27/2.47 -------- PROOF --------
% 2.27/2.47
% 2.27/2.47 -----> EMPTY CLAUSE at 0.40 sec ----> 1505 [hyper,1503,79,1045,749,1481] $F.
% 2.27/2.47
% 2.27/2.47 Length of proof is 13. Level of proof is 6.
% 2.27/2.47
% 2.27/2.47 ---------------- PROOF ----------------
% 2.27/2.47 % SZS status Theorem
% 2.27/2.47 % SZS output start Refutation
% See solution above
% 2.27/2.47 ------------ end of proof -------------
% 2.27/2.47
% 2.27/2.47
% 2.27/2.47 Search stopped by max_proofs option.
% 2.27/2.47
% 2.27/2.47
% 2.27/2.47 Search stopped by max_proofs option.
% 2.27/2.47
% 2.27/2.47 ============ end of search ============
% 2.27/2.47
% 2.27/2.47 -------------- statistics -------------
% 2.27/2.47 clauses given 89
% 2.27/2.47 clauses generated 4078
% 2.27/2.47 clauses kept 1499
% 2.27/2.47 clauses forward subsumed 2175
% 2.27/2.47 clauses back subsumed 6
% 2.27/2.47 Kbytes malloced 4882
% 2.27/2.47
% 2.27/2.47 ----------- times (seconds) -----------
% 2.27/2.47 user CPU time 0.40 (0 hr, 0 min, 0 sec)
% 2.27/2.47 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.27/2.47 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.27/2.47
% 2.27/2.47 That finishes the proof of the theorem.
% 2.27/2.47
% 2.27/2.47 Process 3972 finished Wed Jul 27 04:57:56 2022
% 2.27/2.47 Otter interrupted
% 2.27/2.47 PROOF FOUND
%------------------------------------------------------------------------------