TSTP Solution File: SYN577-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN577-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.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 13:24:56 EDT 2022
% Result : Unsatisfiable 1.72s 1.96s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 13 unt; 0 nHn; 14 RR)
% Number of literals : 21 ( 0 equ; 7 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( p2(A,B)
| ~ p2(C,A)
| ~ p2(C,B) ),
file('SYN577-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ p7(A,c10)
| ~ p2(c15,B)
| ~ p2(c16,C)
| ~ p2(f4(B,c14),f5(f6(A),c19))
| ~ p2(f4(C,c14),f5(f6(A),c20)) ),
file('SYN577-1.p',unknown),
[] ).
cnf(11,axiom,
p2(A,A),
file('SYN577-1.p',unknown),
[] ).
cnf(15,axiom,
p7(c9,c10),
file('SYN577-1.p',unknown),
[] ).
cnf(18,axiom,
p2(f4(c16,c14),c18),
file('SYN577-1.p',unknown),
[] ).
cnf(19,axiom,
p2(f4(c15,c14),c17),
file('SYN577-1.p',unknown),
[] ).
cnf(21,axiom,
p2(f5(f6(c9),c19),c17),
file('SYN577-1.p',unknown),
[] ).
cnf(22,axiom,
p2(f5(f6(c9),c20),c18),
file('SYN577-1.p',unknown),
[] ).
cnf(49,plain,
p2(c18,f4(c16,c14)),
inference(hyper,[status(thm)],[18,2,11]),
[iquote('hyper,18,2,11')] ).
cnf(72,plain,
p2(c17,f4(c15,c14)),
inference(hyper,[status(thm)],[19,2,11]),
[iquote('hyper,19,2,11')] ).
cnf(136,plain,
p2(c17,f5(f6(c9),c19)),
inference(hyper,[status(thm)],[21,2,11]),
[iquote('hyper,21,2,11')] ).
cnf(397,plain,
p2(c18,f5(f6(c9),c20)),
inference(hyper,[status(thm)],[22,2,11]),
[iquote('hyper,22,2,11')] ).
cnf(468,plain,
p2(f4(c15,c14),f5(f6(c9),c19)),
inference(hyper,[status(thm)],[136,2,72]),
[iquote('hyper,136,2,72')] ).
cnf(546,plain,
p2(f4(c16,c14),f5(f6(c9),c20)),
inference(hyper,[status(thm)],[397,2,49]),
[iquote('hyper,397,2,49')] ).
cnf(2585,plain,
$false,
inference(hyper,[status(thm)],[546,8,15,11,11,468]),
[iquote('hyper,546,8,15,11,11,468')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN577-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n019.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 11:22:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.72/1.96 ----- Otter 3.3f, August 2004 -----
% 1.72/1.96 The process was started by sandbox on n019.cluster.edu,
% 1.72/1.96 Wed Jul 27 11:22:52 2022
% 1.72/1.96 The command was "./otter". The process ID is 14347.
% 1.72/1.96
% 1.72/1.96 set(prolog_style_variables).
% 1.72/1.96 set(auto).
% 1.72/1.96 dependent: set(auto1).
% 1.72/1.96 dependent: set(process_input).
% 1.72/1.96 dependent: clear(print_kept).
% 1.72/1.96 dependent: clear(print_new_demod).
% 1.72/1.96 dependent: clear(print_back_demod).
% 1.72/1.96 dependent: clear(print_back_sub).
% 1.72/1.96 dependent: set(control_memory).
% 1.72/1.96 dependent: assign(max_mem, 12000).
% 1.72/1.96 dependent: assign(pick_given_ratio, 4).
% 1.72/1.96 dependent: assign(stats_level, 1).
% 1.72/1.96 dependent: assign(max_seconds, 10800).
% 1.72/1.96 clear(print_given).
% 1.72/1.96
% 1.72/1.96 list(usable).
% 1.72/1.96 0 [] p2(X0,X0).
% 1.72/1.96 0 [] p8(c14,c13).
% 1.72/1.96 0 [] p7(c11,c12).
% 1.72/1.96 0 [] p7(c13,c12).
% 1.72/1.96 0 [] p7(c9,c10).
% 1.72/1.96 0 [] p8(c14,c11).
% 1.72/1.96 0 [] p2(f3(c12,c11),c15).
% 1.72/1.96 0 [] p2(f4(c16,c14),c18).
% 1.72/1.96 0 [] p2(f4(c15,c14),c17).
% 1.72/1.96 0 [] p2(f3(c12,c13),c16).
% 1.72/1.96 0 [] p2(f5(f6(c9),c19),c17).
% 1.72/1.96 0 [] p2(f5(f6(c9),c20),c18).
% 1.72/1.96 0 [] p2(f6(X22),f6(X23))| -p2(X22,X23).
% 1.72/1.96 0 [] p2(X1,X2)| -p2(X0,X1)| -p2(X0,X2).
% 1.72/1.96 0 [] p8(X28,X29)| -p2(X31,X29)| -p8(X30,X31)| -p2(X30,X28).
% 1.72/1.96 0 [] p7(X24,X25)| -p2(X27,X25)| -p7(X26,X27)| -p2(X26,X24).
% 1.72/1.96 0 [] p2(f3(X10,X11),f3(X12,X13))| -p2(X10,X12)| -p2(X11,X13).
% 1.72/1.96 0 [] p2(f5(X18,X19),f5(X20,X21))| -p2(X19,X21)| -p2(X18,X20).
% 1.72/1.96 0 [] p2(f4(X14,X15),f4(X16,X17))| -p2(X14,X16)| -p2(X15,X17).
% 1.72/1.96 0 [] -p7(X34,c10)| -p2(c15,X32)| -p2(c16,X33)| -p2(f4(X32,c14),f5(f6(X34),c19))| -p2(f4(X33,c14),f5(f6(X34),c20)).
% 1.72/1.96 0 [] p2(X3,X4)| -p7(X7,c10)| -p7(X3,c12)| -p7(X4,c12)| -p8(c14,X4)| -p8(c14,X3)| -p2(f3(c12,X4),X6)| -p2(f3(c12,X3),X5)| -p2(f4(X5,c14),f5(f6(X7),X8))| -p2(f4(X6,c14),f5(f6(X7),X9)).
% 1.72/1.96 0 [] p2(X8,X9)| -p7(X7,c10)| -p7(X3,c12)| -p7(X4,c12)| -p8(c14,X4)| -p8(c14,X3)| -p2(f3(c12,X4),X6)| -p2(f3(c12,X3),X5)| -p2(f4(X5,c14),f5(f6(X7),X8))| -p2(f4(X6,c14),f5(f6(X7),X9)).
% 1.72/1.96 end_of_list.
% 1.72/1.96
% 1.72/1.96 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=10.
% 1.72/1.96
% 1.72/1.96 This is a Horn set without equality. The strategy will
% 1.72/1.96 be hyperresolution, with satellites in sos and nuclei
% 1.72/1.96 in usable.
% 1.72/1.96
% 1.72/1.96 dependent: set(hyper_res).
% 1.72/1.96 dependent: clear(order_hyper).
% 1.72/1.96
% 1.72/1.96 ------------> process usable:
% 1.72/1.96 ** KEPT (pick-wt=8): 1 [] p2(f6(A),f6(B))| -p2(A,B).
% 1.72/1.96 ** KEPT (pick-wt=9): 2 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.72/1.96 ** KEPT (pick-wt=12): 3 [] p8(A,B)| -p2(C,B)| -p8(D,C)| -p2(D,A).
% 1.72/1.96 ** KEPT (pick-wt=12): 4 [] p7(A,B)| -p2(C,B)| -p7(D,C)| -p2(D,A).
% 1.72/1.96 ** KEPT (pick-wt=13): 5 [] p2(f3(A,B),f3(C,D))| -p2(A,C)| -p2(B,D).
% 1.72/1.96 ** KEPT (pick-wt=13): 6 [] p2(f5(A,B),f5(C,D))| -p2(B,D)| -p2(A,C).
% 1.72/1.96 ** KEPT (pick-wt=13): 7 [] p2(f4(A,B),f4(C,D))| -p2(A,C)| -p2(B,D).
% 1.72/1.96 ** KEPT (pick-wt=25): 8 [] -p7(A,c10)| -p2(c15,B)| -p2(c16,C)| -p2(f4(B,c14),f5(f6(A),c19))| -p2(f4(C,c14),f5(f6(A),c20)).
% 1.72/1.96 ** KEPT (pick-wt=44): 9 [] p2(A,B)| -p7(C,c10)| -p7(A,c12)| -p7(B,c12)| -p8(c14,B)| -p8(c14,A)| -p2(f3(c12,B),D)| -p2(f3(c12,A),E)| -p2(f4(E,c14),f5(f6(C),F))| -p2(f4(D,c14),f5(f6(C),G)).
% 1.72/1.96 ** KEPT (pick-wt=44): 10 [] p2(A,B)| -p7(C,c10)| -p7(D,c12)| -p7(E,c12)| -p8(c14,E)| -p8(c14,D)| -p2(f3(c12,E),F)| -p2(f3(c12,D),G)| -p2(f4(G,c14),f5(f6(C),A))| -p2(f4(F,c14),f5(f6(C),B)).
% 1.72/1.96
% 1.72/1.96 ------------> process sos:
% 1.72/1.96 ** KEPT (pick-wt=3): 11 [] p2(A,A).
% 1.72/1.96 ** KEPT (pick-wt=3): 12 [] p8(c14,c13).
% 1.72/1.96 ** KEPT (pick-wt=3): 13 [] p7(c11,c12).
% 1.72/1.96 ** KEPT (pick-wt=3): 14 [] p7(c13,c12).
% 1.72/1.96 ** KEPT (pick-wt=3): 15 [] p7(c9,c10).
% 1.72/1.96 ** KEPT (pick-wt=3): 16 [] p8(c14,c11).
% 1.72/1.96 ** KEPT (pick-wt=5): 17 [] p2(f3(c12,c11),c15).
% 1.72/1.96 ** KEPT (pick-wt=5): 18 [] p2(f4(c16,c14),c18).
% 1.72/1.96 ** KEPT (pick-wt=5): 19 [] p2(f4(c15,c14),c17).
% 1.72/1.96 ** KEPT (pick-wt=5): 20 [] p2(f3(c12,c13),c16).
% 1.72/1.96 ** KEPT (pick-wt=6): 21 [] p2(f5(f6(c9),c19),c17).
% 1.72/1.96 ** KEPT (pick-wt=6): 22 [] p2(f5(f6(c9),c20),c18).
% 1.72/1.96
% 1.72/1.96 ======= end of input processing =======
% 1.72/1.96
% 1.72/1.96 =========== start of search ===========
% 1.72/1.96
% 1.72/1.96 -------- PROOF --------
% 1.72/1.96
% 1.72/1.96 -----> EMPTY CLAUSE at 0.03 sec ----> 2585 [hyper,546,8,15,11,11,468] $F.
% 1.72/1.96
% 1.72/1.96 Length of proof is 6. Level of proof is 2.
% 1.72/1.96
% 1.72/1.96 ---------------- PROOF ----------------
% 1.72/1.96 % SZS status Unsatisfiable
% 1.72/1.96 % SZS output start Refutation
% See solution above
% 1.72/1.96 ------------ end of proof -------------
% 1.72/1.96
% 1.72/1.96
% 1.72/1.96 Search stopped by max_proofs option.
% 1.72/1.96
% 1.72/1.96
% 1.72/1.96 Search stopped by max_proofs option.
% 1.72/1.96
% 1.72/1.96 ============ end of search ============
% 1.72/1.96
% 1.72/1.96 -------------- statistics -------------
% 1.72/1.96 clauses given 35
% 1.72/1.96 clauses generated 2787
% 1.72/1.96 clauses kept 2584
% 1.72/1.96 clauses forward subsumed 224
% 1.72/1.96 clauses back subsumed 0
% 1.72/1.96 Kbytes malloced 2929
% 1.72/1.96
% 1.72/1.96 ----------- times (seconds) -----------
% 1.72/1.96 user CPU time 0.03 (0 hr, 0 min, 0 sec)
% 1.72/1.96 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.72/1.96 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.72/1.96
% 1.72/1.96 That finishes the proof of the theorem.
% 1.72/1.96
% 1.72/1.96 Process 14347 finished Wed Jul 27 11:22:53 2022
% 1.72/1.96 Otter interrupted
% 1.72/1.96 PROOF FOUND
%------------------------------------------------------------------------------