TSTP Solution File: SYN618-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN618-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 13:25:00 EDT 2022
% Result : Unsatisfiable 1.65s 1.82s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 18 ( 14 unt; 0 nHn; 14 RR)
% Number of literals : 27 ( 0 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
file('SYN618-1.p',unknown),
[] ).
cnf(7,axiom,
( p5(A,B)
| ~ p5(C,A)
| ~ p5(C,B) ),
file('SYN618-1.p',unknown),
[] ).
cnf(9,axiom,
( p2(A,B)
| ~ p2(C,A)
| ~ p2(C,B) ),
file('SYN618-1.p',unknown),
[] ).
cnf(15,axiom,
( p5(f8(A,B),f8(C,D))
| ~ p2(A,C)
| ~ p5(B,D) ),
file('SYN618-1.p',unknown),
[] ).
cnf(16,axiom,
( p5(A,c20)
| ~ p13(A,c21)
| ~ p13(c19,A)
| ~ p5(f8(c17,A),f6(f7(c22))) ),
file('SYN618-1.p',unknown),
[] ).
cnf(21,axiom,
p5(A,A),
file('SYN618-1.p',unknown),
[] ).
cnf(23,axiom,
p2(A,A),
file('SYN618-1.p',unknown),
[] ).
cnf(26,axiom,
p13(c23,c21),
file('SYN618-1.p',unknown),
[] ).
cnf(27,axiom,
p13(c19,c23),
file('SYN618-1.p',unknown),
[] ).
cnf(30,axiom,
p2(c17,f3(c16)),
file('SYN618-1.p',unknown),
[] ).
cnf(33,axiom,
p5(f8(f3(c16),c23),f6(f7(c22))),
file('SYN618-1.p',unknown),
[] ).
cnf(35,plain,
p2(f3(c16),c17),
inference(hyper,[status(thm)],[30,9,23]),
[iquote('hyper,30,9,23')] ).
cnf(38,plain,
p5(f8(f3(c16),A),f8(c17,A)),
inference(hyper,[status(thm)],[35,15,21]),
[iquote('hyper,35,15,21')] ).
cnf(72,plain,
p5(f8(c17,c23),f6(f7(c22))),
inference(hyper,[status(thm)],[38,7,33]),
[iquote('hyper,38,7,33')] ).
cnf(80,plain,
p5(c23,c20),
inference(hyper,[status(thm)],[72,16,26,27]),
[iquote('hyper,72,16,26,27')] ).
cnf(90,plain,
p5(f8(A,c23),f8(A,c20)),
inference(hyper,[status(thm)],[80,15,23]),
[iquote('hyper,80,15,23')] ).
cnf(133,plain,
p5(f8(f3(c16),c20),f6(f7(c22))),
inference(hyper,[status(thm)],[90,7,33]),
[iquote('hyper,90,7,33')] ).
cnf(134,plain,
$false,
inference(binary,[status(thm)],[133,2]),
[iquote('binary,133.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN618-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n007.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 10:57:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.62/1.81 ----- Otter 3.3f, August 2004 -----
% 1.62/1.81 The process was started by sandbox on n007.cluster.edu,
% 1.62/1.81 Wed Jul 27 10:57:31 2022
% 1.62/1.81 The command was "./otter". The process ID is 11710.
% 1.62/1.81
% 1.62/1.81 set(prolog_style_variables).
% 1.62/1.81 set(auto).
% 1.62/1.81 dependent: set(auto1).
% 1.62/1.81 dependent: set(process_input).
% 1.62/1.81 dependent: clear(print_kept).
% 1.62/1.81 dependent: clear(print_new_demod).
% 1.62/1.81 dependent: clear(print_back_demod).
% 1.62/1.81 dependent: clear(print_back_sub).
% 1.62/1.81 dependent: set(control_memory).
% 1.62/1.81 dependent: assign(max_mem, 12000).
% 1.62/1.81 dependent: assign(pick_given_ratio, 4).
% 1.62/1.81 dependent: assign(stats_level, 1).
% 1.62/1.81 dependent: assign(max_seconds, 10800).
% 1.62/1.81 clear(print_given).
% 1.62/1.81
% 1.62/1.81 list(usable).
% 1.62/1.81 0 [] p9(c16).
% 1.62/1.81 0 [] p10(X0,X0).
% 1.62/1.81 0 [] p5(X34,X34).
% 1.62/1.81 0 [] p4(X29,X29).
% 1.62/1.81 0 [] p2(X24,X24).
% 1.62/1.81 0 [] p14(X17,X17).
% 1.62/1.81 0 [] p12(c19,c20).
% 1.62/1.81 0 [] p13(c23,c21).
% 1.62/1.81 0 [] p13(c19,c23).
% 1.62/1.81 0 [] p13(c19,c21).
% 1.62/1.81 0 [] p12(c20,c21).
% 1.62/1.81 0 [] p2(c17,f3(c16)).
% 1.62/1.81 0 [] p11(c16,c17,c18).
% 1.62/1.81 0 [] p5(f8(c16,c20),f6(f7(c22))).
% 1.62/1.81 0 [] p9(X44)| -p9(X45)| -p2(X45,X44).
% 1.62/1.81 0 [] p5(f8(f3(c16),c23),f6(f7(c22))).
% 1.62/1.81 0 [] -p5(f8(f3(c16),c20),f6(f7(c22))).
% 1.62/1.81 0 [] p5(f6(X38),f6(X39))| -p4(X38,X39).
% 1.62/1.81 0 [] p2(f3(X27),f3(X28))| -p2(X27,X28).
% 1.62/1.81 0 [] p4(f7(X32),f7(X33))| -p4(X32,X33).
% 1.62/1.81 0 [] p10(X1,X2)| -p10(X0,X1)| -p10(X0,X2).
% 1.62/1.81 0 [] p5(X35,X36)| -p5(X34,X35)| -p5(X34,X36).
% 1.62/1.81 0 [] p4(X30,X31)| -p4(X29,X30)| -p4(X29,X31).
% 1.62/1.81 0 [] p2(X25,X26)| -p2(X24,X25)| -p2(X24,X26).
% 1.62/1.81 0 [] p14(X18,X19)| -p14(X17,X18)| -p14(X17,X19).
% 1.62/1.81 0 [] p12(X9,X10)| -p5(X11,X9)| -p5(X12,X10)| -p12(X11,X12).
% 1.62/1.81 0 [] p15(X20,X21)| -p14(X23,X20)| -p15(X23,X22)| -p10(X22,X21).
% 1.62/1.81 0 [] p13(X13,X14)| -p5(X15,X13)| -p5(X16,X14)| -p13(X15,X16).
% 1.62/1.81 0 [] p5(X37,c20)| -p13(X37,c21)| -p13(c19,X37)| -p15(c24,c18).
% 1.62/1.81 0 [] p5(f8(X40,X41),f8(X42,X43))| -p2(X40,X42)| -p5(X41,X43).
% 1.62/1.81 0 [] p5(X37,c20)| -p13(X37,c21)| -p13(c19,X37)| -p5(f8(c17,X37),f6(f7(c22))).
% 1.62/1.81 0 [] p5(X37,c20)| -p13(X37,c21)| -p13(c19,X37)| -p5(f8(c16,X37),f6(f7(c22))).
% 1.62/1.81 0 [] p11(X3,X4,X5)| -p2(X8,X4)| -p2(X7,X3)| -p10(X6,X5)| -p11(X7,X8,X6).
% 1.62/1.81 end_of_list.
% 1.62/1.81
% 1.62/1.81 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=5.
% 1.62/1.81
% 1.62/1.81 This is a Horn set without equality. The strategy will
% 1.62/1.81 be hyperresolution, with satellites in sos and nuclei
% 1.62/1.81 in usable.
% 1.62/1.81
% 1.62/1.81 dependent: set(hyper_res).
% 1.62/1.81 dependent: clear(order_hyper).
% 1.62/1.81
% 1.62/1.81 ------------> process usable:
% 1.62/1.81 ** KEPT (pick-wt=7): 1 [] p9(A)| -p9(B)| -p2(B,A).
% 1.62/1.81 ** KEPT (pick-wt=8): 2 [] -p5(f8(f3(c16),c20),f6(f7(c22))).
% 1.62/1.81 ** KEPT (pick-wt=8): 3 [] p5(f6(A),f6(B))| -p4(A,B).
% 1.62/1.81 ** KEPT (pick-wt=8): 4 [] p2(f3(A),f3(B))| -p2(A,B).
% 1.62/1.81 ** KEPT (pick-wt=8): 5 [] p4(f7(A),f7(B))| -p4(A,B).
% 1.62/1.81 ** KEPT (pick-wt=9): 6 [] p10(A,B)| -p10(C,A)| -p10(C,B).
% 1.62/1.81 ** KEPT (pick-wt=9): 7 [] p5(A,B)| -p5(C,A)| -p5(C,B).
% 1.62/1.81 ** KEPT (pick-wt=9): 8 [] p4(A,B)| -p4(C,A)| -p4(C,B).
% 1.62/1.81 ** KEPT (pick-wt=9): 9 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.62/1.81 ** KEPT (pick-wt=9): 10 [] p14(A,B)| -p14(C,A)| -p14(C,B).
% 1.62/1.81 ** KEPT (pick-wt=12): 11 [] p12(A,B)| -p5(C,A)| -p5(D,B)| -p12(C,D).
% 1.62/1.81 ** KEPT (pick-wt=12): 12 [] p15(A,B)| -p14(C,A)| -p15(C,D)| -p10(D,B).
% 1.62/1.81 ** KEPT (pick-wt=12): 13 [] p13(A,B)| -p5(C,A)| -p5(D,B)| -p13(C,D).
% 1.62/1.81 ** KEPT (pick-wt=12): 14 [] p5(A,c20)| -p13(A,c21)| -p13(c19,A)| -p15(c24,c18).
% 1.62/1.81 ** KEPT (pick-wt=13): 15 [] p5(f8(A,B),f8(C,D))| -p2(A,C)| -p5(B,D).
% 1.62/1.81 ** KEPT (pick-wt=16): 16 [] p5(A,c20)| -p13(A,c21)| -p13(c19,A)| -p5(f8(c17,A),f6(f7(c22))).
% 1.62/1.81 ** KEPT (pick-wt=16): 17 [] p5(A,c20)| -p13(A,c21)| -p13(c19,A)| -p5(f8(c16,A),f6(f7(c22))).
% 1.62/1.81 ** KEPT (pick-wt=17): 18 [] p11(A,B,C)| -p2(D,B)| -p2(E,A)| -p10(F,C)| -p11(E,D,F).
% 1.62/1.81
% 1.62/1.81 ------------> process sos:
% 1.62/1.81 ** KEPT (pick-wt=2): 19 [] p9(c16).
% 1.62/1.81 ** KEPT (pick-wt=3): 20 [] p10(A,A).
% 1.62/1.81 ** KEPT (pick-wt=3): 21 [] p5(A,A).
% 1.62/1.81 ** KEPT (pick-wt=3): 22 [] p4(A,A).
% 1.62/1.81 ** KEPT (pick-wt=3): 23 [] p2(A,A).
% 1.62/1.81 ** KEPT (pick-wt=3): 24 [] p14(A,A).
% 1.62/1.81 ** KEPT (pick-wt=3): 25 [] p12(c19,c20).
% 1.62/1.81 ** KEPT (pick-wt=3): 26 [] p13(c23,c21).
% 1.62/1.81 ** KEPT (pick-wt=3): 27 [] p13(c19,c23).
% 1.62/1.81 ** KEPT (pick-wt=3): 28 [] p13(c19,c21).
% 1.62/1.81 ** KEPT (pick-wt=3): 29 [] p12(c20,c21).
% 1.62/1.81 ** KEPT (pick-wt=4): 30 [] p2(c17,f3(c16)).
% 1.62/1.81 ** KEPT (pick-wt=4): 31 [] p11(c16,c17,c18).
% 1.62/1.81 ** KEPT (pick-wt=7): 32 [] p5(f8(c16,c20),f6(f7(c22))).
% 1.62/1.81 ** KEPT (pick-wt=8): 33 [] p5(f8(f3(c16),c23),f6(f7(c22))).
% 1.62/1.81
% 1.62/1.81 ======= end of input processing =======
% 1.65/1.82
% 1.65/1.82 =========== start of search ===========
% 1.65/1.82
% 1.65/1.82 -------- PROOF --------
% 1.65/1.82
% 1.65/1.82 ----> UNIT CONFLICT at 0.01 sec ----> 134 [binary,133.1,2.1] $F.
% 1.65/1.82
% 1.65/1.82 Length of proof is 6. Level of proof is 6.
% 1.65/1.82
% 1.65/1.82 ---------------- PROOF ----------------
% 1.65/1.82 % SZS status Unsatisfiable
% 1.65/1.82 % SZS output start Refutation
% See solution above
% 1.65/1.82 ------------ end of proof -------------
% 1.65/1.82
% 1.65/1.82
% 1.65/1.82 Search stopped by max_proofs option.
% 1.65/1.82
% 1.65/1.82
% 1.65/1.82 Search stopped by max_proofs option.
% 1.65/1.82
% 1.65/1.82 ============ end of search ============
% 1.65/1.82
% 1.65/1.82 -------------- statistics -------------
% 1.65/1.82 clauses given 35
% 1.65/1.82 clauses generated 213
% 1.65/1.82 clauses kept 133
% 1.65/1.82 clauses forward subsumed 113
% 1.65/1.82 clauses back subsumed 0
% 1.65/1.82 Kbytes malloced 976
% 1.65/1.82
% 1.65/1.82 ----------- times (seconds) -----------
% 1.65/1.82 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.65/1.82 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.65/1.82 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.65/1.82
% 1.65/1.82 That finishes the proof of the theorem.
% 1.65/1.82
% 1.65/1.82 Process 11710 finished Wed Jul 27 10:57:32 2022
% 1.65/1.82 Otter interrupted
% 1.65/1.82 PROOF FOUND
%------------------------------------------------------------------------------