TSTP Solution File: SYN570-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN570-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 13:24:55 EDT 2022
% Result : Unsatisfiable 1.79s 1.98s
% Output : Refutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 15 ( 11 unt; 0 nHn; 12 RR)
% Number of literals : 23 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p9(f4(c12),f8(c13)),
file('SYN570-1.p',unknown),
[] ).
cnf(4,axiom,
( p3(f4(A),f4(B))
| ~ p2(A,B) ),
file('SYN570-1.p',unknown),
[] ).
cnf(8,axiom,
( p3(A,B)
| ~ p3(C,A)
| ~ p3(C,B) ),
file('SYN570-1.p',unknown),
[] ).
cnf(9,axiom,
( p2(A,B)
| ~ p2(C,A)
| ~ p2(C,B) ),
file('SYN570-1.p',unknown),
[] ).
cnf(10,axiom,
( p9(A,B)
| ~ p7(C,B)
| ~ p9(D,C)
| ~ p3(D,A) ),
file('SYN570-1.p',unknown),
[] ).
cnf(13,axiom,
p7(A,A),
file('SYN570-1.p',unknown),
[] ).
cnf(16,axiom,
p2(A,A),
file('SYN570-1.p',unknown),
[] ).
cnf(18,axiom,
p9(c15,f8(c13)),
file('SYN570-1.p',unknown),
[] ).
cnf(19,axiom,
p2(c12,f5(c15)),
file('SYN570-1.p',unknown),
[] ).
cnf(20,axiom,
p3(f4(f5(A)),A),
file('SYN570-1.p',unknown),
[] ).
cnf(22,plain,
p2(f5(c15),c12),
inference(hyper,[status(thm)],[19,9,16]),
[iquote('hyper,19,9,16')] ).
cnf(24,plain,
p3(f4(f5(c15)),f4(c12)),
inference(hyper,[status(thm)],[22,4]),
[iquote('hyper,22,4')] ).
cnf(35,plain,
p3(c15,f4(c12)),
inference(hyper,[status(thm)],[24,8,20]),
[iquote('hyper,24,8,20')] ).
cnf(39,plain,
p9(f4(c12),f8(c13)),
inference(hyper,[status(thm)],[35,10,13,18]),
[iquote('hyper,35,10,13,18')] ).
cnf(40,plain,
$false,
inference(binary,[status(thm)],[39,1]),
[iquote('binary,39.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN570-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n003.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 11:20:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.79/1.98 ----- Otter 3.3f, August 2004 -----
% 1.79/1.98 The process was started by sandbox2 on n003.cluster.edu,
% 1.79/1.98 Wed Jul 27 11:20:56 2022
% 1.79/1.98 The command was "./otter". The process ID is 2915.
% 1.79/1.98
% 1.79/1.98 set(prolog_style_variables).
% 1.79/1.98 set(auto).
% 1.79/1.98 dependent: set(auto1).
% 1.79/1.98 dependent: set(process_input).
% 1.79/1.98 dependent: clear(print_kept).
% 1.79/1.98 dependent: clear(print_new_demod).
% 1.79/1.98 dependent: clear(print_back_demod).
% 1.79/1.98 dependent: clear(print_back_sub).
% 1.79/1.98 dependent: set(control_memory).
% 1.79/1.98 dependent: assign(max_mem, 12000).
% 1.79/1.98 dependent: assign(pick_given_ratio, 4).
% 1.79/1.98 dependent: assign(stats_level, 1).
% 1.79/1.98 dependent: assign(max_seconds, 10800).
% 1.79/1.98 clear(print_given).
% 1.79/1.98
% 1.79/1.98 list(usable).
% 1.79/1.98 0 [] p10(X0,X0).
% 1.79/1.98 0 [] p7(X21,X21).
% 1.79/1.98 0 [] p6(X18,X18).
% 1.79/1.98 0 [] p3(X12,X12).
% 1.79/1.98 0 [] p2(X7,X7).
% 1.79/1.98 0 [] p11(c12,c14).
% 1.79/1.98 0 [] p9(c15,f8(c13)).
% 1.79/1.98 0 [] p2(c12,f5(c15)).
% 1.79/1.98 0 [] p3(f4(f5(X17)),X17).
% 1.79/1.98 0 [] -p9(f4(c12),f8(c13)).
% 1.79/1.98 0 [] p7(f8(X24),f8(X25))| -p6(X24,X25).
% 1.79/1.98 0 [] p2(f5(X10),f5(X11))| -p3(X10,X11).
% 1.79/1.98 0 [] p3(f4(X15),f4(X16))| -p2(X15,X16).
% 1.79/1.98 0 [] p10(X1,X2)| -p10(X0,X1)| -p10(X0,X2).
% 1.79/1.98 0 [] p7(X22,X23)| -p7(X21,X22)| -p7(X21,X23).
% 1.79/1.98 0 [] p6(X19,X20)| -p6(X18,X19)| -p6(X18,X20).
% 1.79/1.98 0 [] p3(X13,X14)| -p3(X12,X13)| -p3(X12,X14).
% 1.79/1.98 0 [] p2(X8,X9)| -p2(X7,X8)| -p2(X7,X9).
% 1.79/1.98 0 [] p9(X26,X27)| -p7(X29,X27)| -p9(X28,X29)| -p3(X28,X26).
% 1.79/1.98 0 [] p11(X3,X4)| -p11(X6,X5)| -p2(X6,X3)| -p10(X5,X4).
% 1.79/1.98 end_of_list.
% 1.79/1.98
% 1.79/1.98 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.79/1.98
% 1.79/1.98 This is a Horn set without equality. The strategy will
% 1.79/1.98 be hyperresolution, with satellites in sos and nuclei
% 1.79/1.98 in usable.
% 1.79/1.98
% 1.79/1.98 dependent: set(hyper_res).
% 1.79/1.98 dependent: clear(order_hyper).
% 1.79/1.98
% 1.79/1.98 ------------> process usable:
% 1.79/1.98 ** KEPT (pick-wt=5): 1 [] -p9(f4(c12),f8(c13)).
% 1.79/1.98 ** KEPT (pick-wt=8): 2 [] p7(f8(A),f8(B))| -p6(A,B).
% 1.79/1.98 ** KEPT (pick-wt=8): 3 [] p2(f5(A),f5(B))| -p3(A,B).
% 1.79/1.98 ** KEPT (pick-wt=8): 4 [] p3(f4(A),f4(B))| -p2(A,B).
% 1.79/1.98 ** KEPT (pick-wt=9): 5 [] p10(A,B)| -p10(C,A)| -p10(C,B).
% 1.79/1.98 ** KEPT (pick-wt=9): 6 [] p7(A,B)| -p7(C,A)| -p7(C,B).
% 1.79/1.98 ** KEPT (pick-wt=9): 7 [] p6(A,B)| -p6(C,A)| -p6(C,B).
% 1.79/1.98 ** KEPT (pick-wt=9): 8 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.79/1.98 ** KEPT (pick-wt=9): 9 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.79/1.98 ** KEPT (pick-wt=12): 10 [] p9(A,B)| -p7(C,B)| -p9(D,C)| -p3(D,A).
% 1.79/1.98 ** KEPT (pick-wt=12): 11 [] p11(A,B)| -p11(C,D)| -p2(C,A)| -p10(D,B).
% 1.79/1.98
% 1.79/1.98 ------------> process sos:
% 1.79/1.98 ** KEPT (pick-wt=3): 12 [] p10(A,A).
% 1.79/1.98 ** KEPT (pick-wt=3): 13 [] p7(A,A).
% 1.79/1.98 ** KEPT (pick-wt=3): 14 [] p6(A,A).
% 1.79/1.98 ** KEPT (pick-wt=3): 15 [] p3(A,A).
% 1.79/1.98 ** KEPT (pick-wt=3): 16 [] p2(A,A).
% 1.79/1.98 ** KEPT (pick-wt=3): 17 [] p11(c12,c14).
% 1.79/1.98 ** KEPT (pick-wt=4): 18 [] p9(c15,f8(c13)).
% 1.79/1.98 ** KEPT (pick-wt=4): 19 [] p2(c12,f5(c15)).
% 1.79/1.98 ** KEPT (pick-wt=5): 20 [] p3(f4(f5(A)),A).
% 1.79/1.98
% 1.79/1.98 ======= end of input processing =======
% 1.79/1.98
% 1.79/1.98 =========== start of search ===========
% 1.79/1.98
% 1.79/1.98 -------- PROOF --------
% 1.79/1.98
% 1.79/1.98 ----> UNIT CONFLICT at 0.00 sec ----> 40 [binary,39.1,1.1] $F.
% 1.79/1.98
% 1.79/1.98 Length of proof is 4. Level of proof is 4.
% 1.79/1.98
% 1.79/1.98 ---------------- PROOF ----------------
% 1.79/1.98 % SZS status Unsatisfiable
% 1.79/1.98 % SZS output start Refutation
% See solution above
% 1.79/1.98 ------------ end of proof -------------
% 1.79/1.98
% 1.79/1.98
% 1.79/1.98 Search stopped by max_proofs option.
% 1.79/1.98
% 1.79/1.98
% 1.79/1.98 Search stopped by max_proofs option.
% 1.79/1.98
% 1.79/1.98 ============ end of search ============
% 1.79/1.98
% 1.79/1.98 -------------- statistics -------------
% 1.79/1.98 clauses given 15
% 1.79/1.98 clauses generated 58
% 1.79/1.98 clauses kept 39
% 1.79/1.98 clauses forward subsumed 39
% 1.79/1.98 clauses back subsumed 0
% 1.79/1.98 Kbytes malloced 976
% 1.79/1.98
% 1.79/1.98 ----------- times (seconds) -----------
% 1.79/1.98 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.79/1.98 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.79/1.98 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.79/1.98
% 1.79/1.98 That finishes the proof of the theorem.
% 1.79/1.98
% 1.79/1.98 Process 2915 finished Wed Jul 27 11:20:58 2022
% 1.79/1.98 Otter interrupted
% 1.79/1.98 PROOF FOUND
%------------------------------------------------------------------------------