TSTP Solution File: SYN005-1.010 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN005-1.010 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n024.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 13:23:17 EDT 2022
% Result : Unsatisfiable 1.67s 1.88s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 11
% Syntax : Number of clauses : 12 ( 11 unt; 0 nHn; 12 RR)
% Number of literals : 21 ( 0 equ; 10 neg)
% Maximal clause size : 10 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ p_1(A,B)
| ~ p_2(B,C)
| ~ p_3(C,D)
| ~ p_4(D,E)
| ~ p_5(E,F)
| ~ p_6(F,G)
| ~ p_7(G,H)
| ~ p_8(H,I)
| ~ p_9(I,J)
| ~ p_10(J,A) ),
file('SYN005-1.010.p',unknown),
[] ).
cnf(2,axiom,
p_1(a,a),
file('SYN005-1.010.p',unknown),
[] ).
cnf(3,axiom,
p_2(a,a),
file('SYN005-1.010.p',unknown),
[] ).
cnf(4,axiom,
p_3(a,a),
file('SYN005-1.010.p',unknown),
[] ).
cnf(5,axiom,
p_4(a,a),
file('SYN005-1.010.p',unknown),
[] ).
cnf(6,axiom,
p_5(a,a),
file('SYN005-1.010.p',unknown),
[] ).
cnf(7,axiom,
p_6(a,a),
file('SYN005-1.010.p',unknown),
[] ).
cnf(8,axiom,
p_7(a,a),
file('SYN005-1.010.p',unknown),
[] ).
cnf(9,axiom,
p_8(a,a),
file('SYN005-1.010.p',unknown),
[] ).
cnf(10,axiom,
p_9(a,a),
file('SYN005-1.010.p',unknown),
[] ).
cnf(11,axiom,
p_10(a,a),
file('SYN005-1.010.p',unknown),
[] ).
cnf(12,plain,
$false,
inference(hyper,[status(thm)],[11,1,2,3,4,5,6,7,8,9,10]),
[iquote('hyper,11,1,2,3,4,5,6,7,8,9,10')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN005-1.010 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 11:23:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.67/1.88 ----- Otter 3.3f, August 2004 -----
% 1.67/1.88 The process was started by sandbox2 on n024.cluster.edu,
% 1.67/1.88 Wed Jul 27 11:23:10 2022
% 1.67/1.88 The command was "./otter". The process ID is 24659.
% 1.67/1.88
% 1.67/1.88 set(prolog_style_variables).
% 1.67/1.88 set(auto).
% 1.67/1.88 dependent: set(auto1).
% 1.67/1.88 dependent: set(process_input).
% 1.67/1.88 dependent: clear(print_kept).
% 1.67/1.88 dependent: clear(print_new_demod).
% 1.67/1.88 dependent: clear(print_back_demod).
% 1.67/1.88 dependent: clear(print_back_sub).
% 1.67/1.88 dependent: set(control_memory).
% 1.67/1.88 dependent: assign(max_mem, 12000).
% 1.67/1.88 dependent: assign(pick_given_ratio, 4).
% 1.67/1.88 dependent: assign(stats_level, 1).
% 1.67/1.88 dependent: assign(max_seconds, 10800).
% 1.67/1.88 clear(print_given).
% 1.67/1.88
% 1.67/1.88 list(usable).
% 1.67/1.88 0 [] -p_1(X1,X2)| -p_2(X2,X3)| -p_3(X3,X4)| -p_4(X4,X5)| -p_5(X5,X6)| -p_6(X6,X7)| -p_7(X7,X8)| -p_8(X8,X9)| -p_9(X9,X10)| -p_10(X10,X1).
% 1.67/1.88 0 [] p_1(a,a).
% 1.67/1.88 0 [] p_2(a,a).
% 1.67/1.88 0 [] p_3(a,a).
% 1.67/1.88 0 [] p_4(a,a).
% 1.67/1.88 0 [] p_5(a,a).
% 1.67/1.88 0 [] p_6(a,a).
% 1.67/1.88 0 [] p_7(a,a).
% 1.67/1.88 0 [] p_8(a,a).
% 1.67/1.88 0 [] p_9(a,a).
% 1.67/1.88 0 [] p_10(a,a).
% 1.67/1.88 end_of_list.
% 1.67/1.88
% 1.67/1.88 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=10.
% 1.67/1.88
% 1.67/1.88 This is a Horn set without equality. The strategy will
% 1.67/1.88 be hyperresolution, with satellites in sos and nuclei
% 1.67/1.88 in usable.
% 1.67/1.88
% 1.67/1.88 dependent: set(hyper_res).
% 1.67/1.88 dependent: clear(order_hyper).
% 1.67/1.88
% 1.67/1.88 ------------> process usable:
% 1.67/1.88 ** KEPT (pick-wt=30): 1 [] -p_1(A,B)| -p_2(B,C)| -p_3(C,D)| -p_4(D,E)| -p_5(E,F)| -p_6(F,G)| -p_7(G,H)| -p_8(H,I)| -p_9(I,J)| -p_10(J,A).
% 1.67/1.88
% 1.67/1.88 ------------> process sos:
% 1.67/1.88 ** KEPT (pick-wt=3): 2 [] p_1(a,a).
% 1.67/1.88 ** KEPT (pick-wt=3): 3 [] p_2(a,a).
% 1.67/1.88 ** KEPT (pick-wt=3): 4 [] p_3(a,a).
% 1.67/1.88 ** KEPT (pick-wt=3): 5 [] p_4(a,a).
% 1.67/1.88 ** KEPT (pick-wt=3): 6 [] p_5(a,a).
% 1.67/1.88 ** KEPT (pick-wt=3): 7 [] p_6(a,a).
% 1.67/1.88 ** KEPT (pick-wt=3): 8 [] p_7(a,a).
% 1.67/1.88 ** KEPT (pick-wt=3): 9 [] p_8(a,a).
% 1.67/1.88 ** KEPT (pick-wt=3): 10 [] p_9(a,a).
% 1.67/1.88 ** KEPT (pick-wt=3): 11 [] p_10(a,a).
% 1.67/1.88
% 1.67/1.88 ======= end of input processing =======
% 1.67/1.88
% 1.67/1.88 =========== start of search ===========
% 1.67/1.88
% 1.67/1.88 -------- PROOF --------
% 1.67/1.88
% 1.67/1.88 -----> EMPTY CLAUSE at 0.00 sec ----> 12 [hyper,11,1,2,3,4,5,6,7,8,9,10] $F.
% 1.67/1.88
% 1.67/1.88 Length of proof is 0. Level of proof is 0.
% 1.67/1.88
% 1.67/1.88 ---------------- PROOF ----------------
% 1.67/1.88 % SZS status Unsatisfiable
% 1.67/1.88 % SZS output start Refutation
% See solution above
% 1.67/1.88 ------------ end of proof -------------
% 1.67/1.88
% 1.67/1.88
% 1.67/1.88 Search stopped by max_proofs option.
% 1.67/1.88
% 1.67/1.88
% 1.67/1.88 Search stopped by max_proofs option.
% 1.67/1.88
% 1.67/1.88 ============ end of search ============
% 1.67/1.88
% 1.67/1.88 -------------- statistics -------------
% 1.67/1.88 clauses given 10
% 1.67/1.88 clauses generated 1
% 1.67/1.88 clauses kept 11
% 1.67/1.88 clauses forward subsumed 0
% 1.67/1.88 clauses back subsumed 0
% 1.67/1.88 Kbytes malloced 976
% 1.67/1.88
% 1.67/1.88 ----------- times (seconds) -----------
% 1.67/1.88 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.88 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.88 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.67/1.88
% 1.67/1.88 That finishes the proof of the theorem.
% 1.67/1.88
% 1.67/1.88 Process 24659 finished Wed Jul 27 11:23:11 2022
% 1.67/1.88 Otter interrupted
% 1.67/1.88 PROOF FOUND
%------------------------------------------------------------------------------