TSTP Solution File: LCL016-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL016-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n020.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 13:03:19 EDT 2022
% Result : Unsatisfiable 3.81s 3.99s
% Output : Refutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of clauses : 58 ( 57 unt; 0 nHn; 3 RR)
% Number of literals : 60 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 200 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(e_quivalent(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('LCL016-1.p',unknown),
[] ).
cnf(2,axiom,
~ is_a_theorem(e_quivalent(e_quivalent(a,b),e_quivalent(c,e_quivalent(e_quivalent(b,c),a)))),
file('LCL016-1.p',unknown),
[] ).
cnf(3,axiom,
is_a_theorem(e_quivalent(e_quivalent(A,B),e_quivalent(C,e_quivalent(e_quivalent(C,B),A)))),
file('LCL016-1.p',unknown),
[] ).
cnf(4,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(A,e_quivalent(B,e_quivalent(e_quivalent(B,C),D))),e_quivalent(D,C)))),
inference(hyper,[status(thm)],[3,1,3]),
[iquote('hyper,3,1,3')] ).
cnf(5,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(A,e_quivalent(B,e_quivalent(e_quivalent(B,C),D))),e_quivalent(D,C))),e_quivalent(E,e_quivalent(e_quivalent(E,F),G))),e_quivalent(G,F))),
inference(hyper,[status(thm)],[4,1,4]),
[iquote('hyper,4,1,4')] ).
cnf(6,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,e_quivalent(C,e_quivalent(e_quivalent(C,D),E))),e_quivalent(E,D))),B))),
inference(hyper,[status(thm)],[4,1,3]),
[iquote('hyper,4,1,3')] ).
cnf(7,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(C,e_quivalent(e_quivalent(C,B),A))),e_quivalent(D,e_quivalent(e_quivalent(D,E),F))),e_quivalent(F,E))),
inference(hyper,[status(thm)],[4,1,3]),
[iquote('hyper,4,1,3')] ).
cnf(13,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),C),B),A),C)),
inference(hyper,[status(thm)],[7,1,7]),
[iquote('hyper,7,1,7')] ).
cnf(14,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(C,e_quivalent(e_quivalent(C,B),A))),e_quivalent(D,e_quivalent(e_quivalent(D,E),F))),e_quivalent(F,E)),e_quivalent(e_quivalent(G,e_quivalent(H,e_quivalent(e_quivalent(H,I),J))),e_quivalent(J,I))),G)),
inference(hyper,[status(thm)],[7,1,6]),
[iquote('hyper,7,1,6')] ).
cnf(18,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),C),B),A),C),e_quivalent(D,e_quivalent(e_quivalent(D,E),F))),e_quivalent(F,E))),
inference(hyper,[status(thm)],[13,1,4]),
[iquote('hyper,13,1,4')] ).
cnf(19,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(e_quivalent(e_quivalent(C,D),B),D),C)))),
inference(hyper,[status(thm)],[13,1,3]),
[iquote('hyper,13,1,3')] ).
cnf(27,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),C),B),A),C),D),e_quivalent(e_quivalent(e_quivalent(e_quivalent(E,F),D),F),E))),
inference(hyper,[status(thm)],[19,1,13]),
[iquote('hyper,19,1,13')] ).
cnf(32,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(C,e_quivalent(e_quivalent(C,B),A))),D),e_quivalent(e_quivalent(e_quivalent(e_quivalent(E,F),D),F),E))),
inference(hyper,[status(thm)],[19,1,3]),
[iquote('hyper,19,1,3')] ).
cnf(75,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),C),B),A),C),D),e_quivalent(e_quivalent(e_quivalent(e_quivalent(E,F),D),F),E)),e_quivalent(e_quivalent(G,e_quivalent(H,e_quivalent(e_quivalent(H,I),J))),e_quivalent(J,I))),G)),
inference(hyper,[status(thm)],[27,1,6]),
[iquote('hyper,27,1,6')] ).
cnf(95,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(C,D),E),D),C),E)),B),A)),
inference(hyper,[status(thm)],[32,1,18]),
[iquote('hyper,32,1,18')] ).
cnf(97,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(C,D),e_quivalent(E,e_quivalent(e_quivalent(E,D),C)))),B),A)),
inference(hyper,[status(thm)],[32,1,7]),
[iquote('hyper,32,1,7')] ).
cnf(110,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),C),B),A),C),D),D)),
inference(hyper,[status(thm)],[95,1,13]),
[iquote('hyper,95,1,13')] ).
cnf(125,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),e_quivalent(C,e_quivalent(e_quivalent(C,B),A))),D),D)),
inference(hyper,[status(thm)],[97,1,110]),
[iquote('hyper,97,1,110')] ).
cnf(138,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(A,B),C)),D),e_quivalent(C,B)),D)),
inference(hyper,[status(thm)],[97,1,5]),
[iquote('hyper,97,1,5')] ).
cnf(141,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(A,B),B))),
inference(hyper,[status(thm)],[125,1,13]),
[iquote('hyper,125,1,13')] ).
cnf(146,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(A,B),B)),C),C)),
inference(hyper,[status(thm)],[141,1,141]),
[iquote('hyper,141,1,141')] ).
cnf(152,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,C),C)),B))),
inference(hyper,[status(thm)],[141,1,3]),
[iquote('hyper,141,1,3')] ).
cnf(170,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,B),A),B)),
inference(hyper,[status(thm)],[146,1,95]),
[iquote('hyper,146,1,95')] ).
cnf(174,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,A),B),B)),
inference(hyper,[status(thm)],[146,1,13]),
[iquote('hyper,146,1,13')] ).
cnf(189,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),A),B),C),C)),
inference(hyper,[status(thm)],[170,1,141]),
[iquote('hyper,170,1,141')] ).
cnf(195,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(A,B),e_quivalent(e_quivalent(C,B),C)))),
inference(hyper,[status(thm)],[170,1,3]),
[iquote('hyper,170,1,3')] ).
cnf(210,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,A),e_quivalent(e_quivalent(B,C),C)),B)),
inference(hyper,[status(thm)],[152,1,174]),
[iquote('hyper,152,1,174')] ).
cnf(223,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,e_quivalent(e_quivalent(C,D),D)),C)),B))),
inference(hyper,[status(thm)],[152,1,3]),
[iquote('hyper,152,1,3')] ).
cnf(267,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,A),B),e_quivalent(e_quivalent(C,B),C))),
inference(hyper,[status(thm)],[195,1,174]),
[iquote('hyper,195,1,174')] ).
cnf(378,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(A,B),C)),e_quivalent(C,B))),
inference(hyper,[status(thm)],[210,1,14]),
[iquote('hyper,210,1,14')] ).
cnf(400,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(e_quivalent(B,C),B),C)),A)),
inference(hyper,[status(thm)],[267,1,189]),
[iquote('hyper,267,1,189')] ).
cnf(508,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(B,A)),B)),
inference(hyper,[status(thm)],[378,1,95]),
[iquote('hyper,378,1,95')] ).
cnf(597,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(A,B),e_quivalent(C,e_quivalent(B,C))))),
inference(hyper,[status(thm)],[508,1,3]),
[iquote('hyper,508,1,3')] ).
cnf(786,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(B,A),B))),
inference(hyper,[status(thm)],[400,1,195]),
[iquote('hyper,400,1,195')] ).
cnf(819,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,C),B)),C))),
inference(hyper,[status(thm)],[786,1,3]),
[iquote('hyper,786,1,3')] ).
cnf(1677,plain,
is_a_theorem(e_quivalent(A,e_quivalent(B,e_quivalent(A,B)))),
inference(hyper,[status(thm)],[597,1,400]),
[iquote('hyper,597,1,400')] ).
cnf(1780,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(A,B)),B)),
inference(hyper,[status(thm)],[1677,1,378]),
[iquote('hyper,1677,1,378')] ).
cnf(1795,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(A,e_quivalent(B,e_quivalent(C,B))),C))),
inference(hyper,[status(thm)],[1677,1,3]),
[iquote('hyper,1677,1,3')] ).
cnf(1913,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(A,B),e_quivalent(C,e_quivalent(C,B))))),
inference(hyper,[status(thm)],[1780,1,3]),
[iquote('hyper,1780,1,3')] ).
cnf(6305,plain,
is_a_theorem(e_quivalent(A,e_quivalent(B,e_quivalent(B,A)))),
inference(hyper,[status(thm)],[1913,1,400]),
[iquote('hyper,1913,1,400')] ).
cnf(6350,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(A,e_quivalent(B,e_quivalent(B,C))),C))),
inference(hyper,[status(thm)],[6305,1,3]),
[iquote('hyper,6305,1,3')] ).
cnf(6976,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,C),C)),B),A)),
inference(hyper,[status(thm)],[223,1,400]),
[iquote('hyper,223,1,400')] ).
cnf(6989,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(A,B),e_quivalent(C,B))),C)),
inference(hyper,[status(thm)],[6976,1,138]),
[iquote('hyper,6976,1,138')] ).
cnf(7020,plain,
is_a_theorem(e_quivalent(e_quivalent(A,B),e_quivalent(B,A))),
inference(hyper,[status(thm)],[6989,1,95]),
[iquote('hyper,6989,1,95')] ).
cnf(7073,plain,
is_a_theorem(e_quivalent(A,e_quivalent(e_quivalent(A,e_quivalent(B,C)),e_quivalent(C,B)))),
inference(hyper,[status(thm)],[7020,1,3]),
[iquote('hyper,7020,1,3')] ).
cnf(7087,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,e_quivalent(B,C))),C),A)),
inference(hyper,[status(thm)],[7020,1,6350]),
[iquote('hyper,7020,1,6350')] ).
cnf(7096,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,e_quivalent(C,B))),C),A)),
inference(hyper,[status(thm)],[7020,1,1795]),
[iquote('hyper,7020,1,1795')] ).
cnf(7099,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(B,C),B)),C),A)),
inference(hyper,[status(thm)],[7020,1,819]),
[iquote('hyper,7020,1,819')] ).
cnf(7363,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,C)),e_quivalent(C,B)),A)),
inference(hyper,[status(thm)],[7073,1,7020]),
[iquote('hyper,7073,1,7020')] ).
cnf(7529,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(A,e_quivalent(B,C)),B)),C)),
inference(hyper,[status(thm)],[7087,1,138]),
[iquote('hyper,7087,1,138')] ).
cnf(7620,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,A)),C),B),C)),
inference(hyper,[status(thm)],[7096,1,110]),
[iquote('hyper,7096,1,110')] ).
cnf(7668,plain,
is_a_theorem(e_quivalent(e_quivalent(A,e_quivalent(e_quivalent(A,B),e_quivalent(B,C))),C)),
inference(hyper,[status(thm)],[7099,1,138]),
[iquote('hyper,7099,1,138')] ).
cnf(8166,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),C),e_quivalent(B,A)),C)),
inference(hyper,[status(thm)],[7363,1,110]),
[iquote('hyper,7363,1,110')] ).
cnf(8422,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,e_quivalent(B,A)),e_quivalent(C,B)),C)),
inference(hyper,[status(thm)],[7620,1,7529]),
[iquote('hyper,7620,1,7529')] ).
cnf(9680,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(A,B),C),e_quivalent(C,e_quivalent(B,A)))),
inference(hyper,[status(thm)],[8166,1,7668]),
[iquote('hyper,8166,1,7668')] ).
cnf(10359,plain,
is_a_theorem(e_quivalent(e_quivalent(e_quivalent(e_quivalent(A,B),C),B),e_quivalent(C,A))),
inference(hyper,[status(thm)],[8422,1,75]),
[iquote('hyper,8422,1,75')] ).
cnf(15145,plain,
is_a_theorem(e_quivalent(e_quivalent(A,B),e_quivalent(C,e_quivalent(e_quivalent(B,C),A)))),
inference(hyper,[status(thm)],[10359,1,9680]),
[iquote('hyper,10359,1,9680')] ).
cnf(15146,plain,
$false,
inference(binary,[status(thm)],[15145,2]),
[iquote('binary,15145.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL016-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n020.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 09:31:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 3.81/3.99 ----- Otter 3.3f, August 2004 -----
% 3.81/3.99 The process was started by sandbox2 on n020.cluster.edu,
% 3.81/3.99 Wed Jul 27 09:31:08 2022
% 3.81/3.99 The command was "./otter". The process ID is 6122.
% 3.81/3.99
% 3.81/3.99 set(prolog_style_variables).
% 3.81/3.99 set(auto).
% 3.81/3.99 dependent: set(auto1).
% 3.81/3.99 dependent: set(process_input).
% 3.81/3.99 dependent: clear(print_kept).
% 3.81/3.99 dependent: clear(print_new_demod).
% 3.81/3.99 dependent: clear(print_back_demod).
% 3.81/3.99 dependent: clear(print_back_sub).
% 3.81/3.99 dependent: set(control_memory).
% 3.81/3.99 dependent: assign(max_mem, 12000).
% 3.81/3.99 dependent: assign(pick_given_ratio, 4).
% 3.81/3.99 dependent: assign(stats_level, 1).
% 3.81/3.99 dependent: assign(max_seconds, 10800).
% 3.81/3.99 clear(print_given).
% 3.81/3.99
% 3.81/3.99 list(usable).
% 3.81/3.99 0 [] -is_a_theorem(e_quivalent(X,Y))| -is_a_theorem(X)|is_a_theorem(Y).
% 3.81/3.99 0 [] is_a_theorem(e_quivalent(e_quivalent(X,Y),e_quivalent(Z,e_quivalent(e_quivalent(Z,Y),X)))).
% 3.81/3.99 0 [] -is_a_theorem(e_quivalent(e_quivalent(a,b),e_quivalent(c,e_quivalent(e_quivalent(b,c),a)))).
% 3.81/3.99 end_of_list.
% 3.81/3.99
% 3.81/3.99 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 3.81/3.99
% 3.81/3.99 This is a Horn set without equality. The strategy will
% 3.81/3.99 be hyperresolution, with satellites in sos and nuclei
% 3.81/3.99 in usable.
% 3.81/3.99
% 3.81/3.99 dependent: set(hyper_res).
% 3.81/3.99 dependent: clear(order_hyper).
% 3.81/3.99
% 3.81/3.99 ------------> process usable:
% 3.81/3.99 ** KEPT (pick-wt=8): 1 [] -is_a_theorem(e_quivalent(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 3.81/3.99 ** KEPT (pick-wt=12): 2 [] -is_a_theorem(e_quivalent(e_quivalent(a,b),e_quivalent(c,e_quivalent(e_quivalent(b,c),a)))).
% 3.81/3.99
% 3.81/3.99 ------------> process sos:
% 3.81/3.99 ** KEPT (pick-wt=12): 3 [] is_a_theorem(e_quivalent(e_quivalent(A,B),e_quivalent(C,e_quivalent(e_quivalent(C,B),A)))).
% 3.81/3.99
% 3.81/3.99 ======= end of input processing =======
% 3.81/3.99
% 3.81/3.99 =========== start of search ===========
% 3.81/3.99
% 3.81/3.99
% 3.81/3.99 Resetting weight limit to 16.
% 3.81/3.99
% 3.81/3.99
% 3.81/3.99 Resetting weight limit to 16.
% 3.81/3.99
% 3.81/3.99 sos_size=6109
% 3.81/3.99
% 3.81/3.99 -------- PROOF --------
% 3.81/3.99
% 3.81/3.99 ----> UNIT CONFLICT at 1.88 sec ----> 15146 [binary,15145.1,2.1] $F.
% 3.81/3.99
% 3.81/3.99 Length of proof is 54. Level of proof is 25.
% 3.81/3.99
% 3.81/3.99 ---------------- PROOF ----------------
% 3.81/3.99 % SZS status Unsatisfiable
% 3.81/3.99 % SZS output start Refutation
% See solution above
% 3.81/3.99 ------------ end of proof -------------
% 3.81/3.99
% 3.81/3.99
% 3.81/3.99 Search stopped by max_proofs option.
% 3.81/3.99
% 3.81/3.99
% 3.81/3.99 Search stopped by max_proofs option.
% 3.81/3.99
% 3.81/3.99 ============ end of search ============
% 3.81/3.99
% 3.81/3.99 -------------- statistics -------------
% 3.81/3.99 clauses given 549
% 3.81/3.99 clauses generated 165163
% 3.81/3.99 clauses kept 15145
% 3.81/3.99 clauses forward subsumed 48284
% 3.81/3.99 clauses back subsumed 0
% 3.81/3.99 Kbytes malloced 7812
% 3.81/3.99
% 3.81/3.99 ----------- times (seconds) -----------
% 3.81/3.99 user CPU time 1.88 (0 hr, 0 min, 1 sec)
% 3.81/3.99 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 3.81/3.99 wall-clock time 4 (0 hr, 0 min, 4 sec)
% 3.81/3.99
% 3.81/3.99 That finishes the proof of the theorem.
% 3.81/3.99
% 3.81/3.99 Process 6122 finished Wed Jul 27 09:31:12 2022
% 3.81/3.99 Otter interrupted
% 3.81/3.99 PROOF FOUND
%------------------------------------------------------------------------------