TSTP Solution File: SYN559-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN559-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n026.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 13:24:54 EDT 2022
% Result : Unsatisfiable 1.97s 2.15s
% Output : Refutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 10 unt; 0 nHn; 11 RR)
% Number of literals : 17 ( 0 equ; 6 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 : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( p2(A,B)
| ~ p2(C,A)
| ~ p2(C,B) ),
file('SYN559-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ p8(A,c9)
| ~ p7(c10,A)
| ~ p2(f6(c9,A),B)
| ~ p2(f5(B,c10),f3(f4(c11),c12)) ),
file('SYN559-1.p',unknown),
[] ).
cnf(9,axiom,
p2(A,A),
file('SYN559-1.p',unknown),
[] ).
cnf(10,axiom,
p8(c13,c9),
file('SYN559-1.p',unknown),
[] ).
cnf(11,axiom,
p7(c10,c13),
file('SYN559-1.p',unknown),
[] ).
cnf(12,axiom,
p2(f6(c9,c13),c14),
file('SYN559-1.p',unknown),
[] ).
cnf(13,axiom,
p2(f5(c14,c10),c15),
file('SYN559-1.p',unknown),
[] ).
cnf(14,axiom,
p2(f3(f4(c11),c12),c15),
file('SYN559-1.p',unknown),
[] ).
cnf(41,plain,
p2(c15,f5(c14,c10)),
inference(hyper,[status(thm)],[13,2,9]),
[iquote('hyper,13,2,9')] ).
cnf(64,plain,
p2(c15,f3(f4(c11),c12)),
inference(hyper,[status(thm)],[14,2,9]),
[iquote('hyper,14,2,9')] ).
cnf(167,plain,
p2(f5(c14,c10),f3(f4(c11),c12)),
inference(hyper,[status(thm)],[64,2,41]),
[iquote('hyper,64,2,41')] ).
cnf(618,plain,
$false,
inference(hyper,[status(thm)],[167,8,10,11,12]),
[iquote('hyper,167,8,10,11,12')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN559-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n026.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 11:32:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.97/2.15 ----- Otter 3.3f, August 2004 -----
% 1.97/2.15 The process was started by sandbox2 on n026.cluster.edu,
% 1.97/2.15 Wed Jul 27 11:32:24 2022
% 1.97/2.15 The command was "./otter". The process ID is 15929.
% 1.97/2.15
% 1.97/2.15 set(prolog_style_variables).
% 1.97/2.15 set(auto).
% 1.97/2.15 dependent: set(auto1).
% 1.97/2.15 dependent: set(process_input).
% 1.97/2.15 dependent: clear(print_kept).
% 1.97/2.15 dependent: clear(print_new_demod).
% 1.97/2.15 dependent: clear(print_back_demod).
% 1.97/2.15 dependent: clear(print_back_sub).
% 1.97/2.15 dependent: set(control_memory).
% 1.97/2.15 dependent: assign(max_mem, 12000).
% 1.97/2.15 dependent: assign(pick_given_ratio, 4).
% 1.97/2.15 dependent: assign(stats_level, 1).
% 1.97/2.15 dependent: assign(max_seconds, 10800).
% 1.97/2.15 clear(print_given).
% 1.97/2.15
% 1.97/2.15 list(usable).
% 1.97/2.15 0 [] p2(X0,X0).
% 1.97/2.15 0 [] p8(c13,c9).
% 1.97/2.15 0 [] p7(c10,c13).
% 1.97/2.15 0 [] p2(f6(c9,c13),c14).
% 1.97/2.15 0 [] p2(f5(c14,c10),c15).
% 1.97/2.15 0 [] p2(f3(f4(c11),c12),c15).
% 1.97/2.15 0 [] p2(f4(X7),f4(X8))| -p2(X7,X8).
% 1.97/2.15 0 [] p2(X1,X2)| -p2(X0,X1)| -p2(X0,X2).
% 1.97/2.15 0 [] p8(X21,X22)| -p2(X24,X22)| -p8(X23,X24)| -p2(X23,X21).
% 1.97/2.15 0 [] p7(X17,X18)| -p2(X20,X18)| -p7(X19,X20)| -p2(X19,X17).
% 1.97/2.15 0 [] p2(f3(X3,X4),f3(X5,X6))| -p2(X3,X5)| -p2(X4,X6).
% 1.97/2.15 0 [] p2(f6(X13,X14),f6(X15,X16))| -p2(X13,X15)| -p2(X14,X16).
% 1.97/2.15 0 [] p2(f5(X9,X10),f5(X11,X12))| -p2(X9,X11)| -p2(X10,X12).
% 1.97/2.15 0 [] -p8(X26,c9)| -p7(c10,X26)| -p2(f6(c9,X26),X25)| -p2(f5(X25,c10),f3(f4(c11),c12)).
% 1.97/2.15 end_of_list.
% 1.97/2.15
% 1.97/2.15 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.97/2.15
% 1.97/2.15 This is a Horn set without equality. The strategy will
% 1.97/2.15 be hyperresolution, with satellites in sos and nuclei
% 1.97/2.15 in usable.
% 1.97/2.15
% 1.97/2.15 dependent: set(hyper_res).
% 1.97/2.15 dependent: clear(order_hyper).
% 1.97/2.15
% 1.97/2.15 ------------> process usable:
% 1.97/2.15 ** KEPT (pick-wt=8): 1 [] p2(f4(A),f4(B))| -p2(A,B).
% 1.97/2.15 ** KEPT (pick-wt=9): 2 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.97/2.15 ** KEPT (pick-wt=12): 3 [] p8(A,B)| -p2(C,B)| -p8(D,C)| -p2(D,A).
% 1.97/2.15 ** KEPT (pick-wt=12): 4 [] p7(A,B)| -p2(C,B)| -p7(D,C)| -p2(D,A).
% 1.97/2.15 ** KEPT (pick-wt=13): 5 [] p2(f3(A,B),f3(C,D))| -p2(A,C)| -p2(B,D).
% 1.97/2.15 ** KEPT (pick-wt=13): 6 [] p2(f6(A,B),f6(C,D))| -p2(A,C)| -p2(B,D).
% 1.97/2.15 ** KEPT (pick-wt=13): 7 [] p2(f5(A,B),f5(C,D))| -p2(A,C)| -p2(B,D).
% 1.97/2.15 ** KEPT (pick-wt=19): 8 [] -p8(A,c9)| -p7(c10,A)| -p2(f6(c9,A),B)| -p2(f5(B,c10),f3(f4(c11),c12)).
% 1.97/2.15
% 1.97/2.15 ------------> process sos:
% 1.97/2.15 ** KEPT (pick-wt=3): 9 [] p2(A,A).
% 1.97/2.15 ** KEPT (pick-wt=3): 10 [] p8(c13,c9).
% 1.97/2.15 ** KEPT (pick-wt=3): 11 [] p7(c10,c13).
% 1.97/2.15 ** KEPT (pick-wt=5): 12 [] p2(f6(c9,c13),c14).
% 1.97/2.15 ** KEPT (pick-wt=5): 13 [] p2(f5(c14,c10),c15).
% 1.97/2.15 ** KEPT (pick-wt=6): 14 [] p2(f3(f4(c11),c12),c15).
% 1.97/2.15
% 1.97/2.15 ======= end of input processing =======
% 1.97/2.15
% 1.97/2.15 =========== start of search ===========
% 1.97/2.15
% 1.97/2.15 -------- PROOF --------
% 1.97/2.15
% 1.97/2.15 -----> EMPTY CLAUSE at 0.01 sec ----> 618 [hyper,167,8,10,11,12] $F.
% 1.97/2.15
% 1.97/2.15 Length of proof is 3. Level of proof is 2.
% 1.97/2.15
% 1.97/2.15 ---------------- PROOF ----------------
% 1.97/2.15 % SZS status Unsatisfiable
% 1.97/2.15 % SZS output start Refutation
% See solution above
% 1.97/2.15 ------------ end of proof -------------
% 1.97/2.15
% 1.97/2.15
% 1.97/2.15 Search stopped by max_proofs option.
% 1.97/2.15
% 1.97/2.15
% 1.97/2.15 Search stopped by max_proofs option.
% 1.97/2.15
% 1.97/2.15 ============ end of search ============
% 1.97/2.15
% 1.97/2.15 -------------- statistics -------------
% 1.97/2.15 clauses given 17
% 1.97/2.15 clauses generated 705
% 1.97/2.15 clauses kept 617
% 1.97/2.15 clauses forward subsumed 101
% 1.97/2.15 clauses back subsumed 0
% 1.97/2.15 Kbytes malloced 1953
% 1.97/2.15
% 1.97/2.15 ----------- times (seconds) -----------
% 1.97/2.15 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.97/2.15 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.97/2.15 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.97/2.15
% 1.97/2.15 That finishes the proof of the theorem.
% 1.97/2.15
% 1.97/2.15 Process 15929 finished Wed Jul 27 11:32:26 2022
% 1.97/2.15 Otter interrupted
% 1.97/2.15 PROOF FOUND
%------------------------------------------------------------------------------