TSTP Solution File: SYN557-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN557-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n005.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 1.87s 2.08s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 13 unt; 0 nHn; 10 RR)
% Number of literals : 21 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p2(c6,f3(c8,f5(c9))),
file('SYN557-1.p',unknown),
[] ).
cnf(3,axiom,
( p2(A,B)
| ~ p2(C,A)
| ~ p2(C,B) ),
file('SYN557-1.p',unknown),
[] ).
cnf(5,axiom,
( p2(A,B)
| ~ p2(f3(A,C),f3(B,C)) ),
file('SYN557-1.p',unknown),
[] ).
cnf(7,axiom,
( p2(f3(A,B),f3(C,D))
| ~ p2(A,C)
| ~ p2(B,D) ),
file('SYN557-1.p',unknown),
[] ).
cnf(8,axiom,
p2(A,A),
file('SYN557-1.p',unknown),
[] ).
cnf(10,axiom,
p2(f3(A,B),f3(B,A)),
file('SYN557-1.p',unknown),
[] ).
cnf(11,axiom,
p2(f3(A,f3(B,C)),f3(B,f3(A,C))),
file('SYN557-1.p',unknown),
[] ).
cnf(13,axiom,
p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
file('SYN557-1.p',unknown),
[] ).
cnf(16,plain,
p2(f3(f3(A,B),C),f3(f3(B,A),C)),
inference(hyper,[status(thm)],[10,7,8]),
[iquote('hyper,10,7,8')] ).
cnf(22,plain,
p2(f3(f3(A,B),C),f3(A,f3(C,B))),
inference(hyper,[status(thm)],[11,3,10]),
[iquote('hyper,11,3,10')] ).
cnf(47,plain,
p2(f3(c8,f3(f5(c7),f5(c9))),f3(c6,f5(c7))),
inference(hyper,[status(thm)],[13,3,8]),
[iquote('hyper,13,3,8')] ).
cnf(98,plain,
p2(f3(A,f3(B,C)),f3(f3(C,A),B)),
inference(hyper,[status(thm)],[22,3,16]),
[iquote('hyper,22,3,16')] ).
cnf(1234,plain,
p2(f3(f3(f5(c9),c8),f5(c7)),f3(c6,f5(c7))),
inference(hyper,[status(thm)],[47,3,98]),
[iquote('hyper,47,3,98')] ).
cnf(4115,plain,
p2(f3(f5(c9),c8),c6),
inference(hyper,[status(thm)],[1234,5]),
[iquote('hyper,1234,5')] ).
cnf(4229,plain,
p2(c6,f3(c8,f5(c9))),
inference(hyper,[status(thm)],[4115,3,10]),
[iquote('hyper,4115,3,10')] ).
cnf(4230,plain,
$false,
inference(binary,[status(thm)],[4229,1]),
[iquote('binary,4229.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN557-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n005.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 11:26:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.87/2.08 ----- Otter 3.3f, August 2004 -----
% 1.87/2.08 The process was started by sandbox2 on n005.cluster.edu,
% 1.87/2.08 Wed Jul 27 11:26:05 2022
% 1.87/2.08 The command was "./otter". The process ID is 27599.
% 1.87/2.08
% 1.87/2.08 set(prolog_style_variables).
% 1.87/2.08 set(auto).
% 1.87/2.08 dependent: set(auto1).
% 1.87/2.08 dependent: set(process_input).
% 1.87/2.08 dependent: clear(print_kept).
% 1.87/2.08 dependent: clear(print_new_demod).
% 1.87/2.08 dependent: clear(print_back_demod).
% 1.87/2.08 dependent: clear(print_back_sub).
% 1.87/2.08 dependent: set(control_memory).
% 1.87/2.08 dependent: assign(max_mem, 12000).
% 1.87/2.08 dependent: assign(pick_given_ratio, 4).
% 1.87/2.08 dependent: assign(stats_level, 1).
% 1.87/2.08 dependent: assign(max_seconds, 10800).
% 1.87/2.08 clear(print_given).
% 1.87/2.08
% 1.87/2.08 list(usable).
% 1.87/2.08 0 [] p2(X3,X3).
% 1.87/2.08 0 [] p4(X19,X19).
% 1.87/2.08 0 [] -p2(c6,f3(c8,f5(c9))).
% 1.87/2.08 0 [] p2(f3(X10,X11),f3(X11,X10)).
% 1.87/2.08 0 [] p2(f5(X15),f5(X16))| -p4(X15,X16).
% 1.87/2.08 0 [] p2(X4,X5)| -p2(X3,X4)| -p2(X3,X5).
% 1.87/2.08 0 [] p4(X17,X18)| -p4(X19,X17)| -p4(X19,X18).
% 1.87/2.08 0 [] p2(X0,X1)| -p2(f3(X0,X2),f3(X1,X2)).
% 1.87/2.08 0 [] p2(f3(X0,X2),f3(X1,X2))| -p2(X0,X1).
% 1.87/2.08 0 [] p2(f3(X12,f3(X13,X14)),f3(X13,f3(X12,X14))).
% 1.87/2.08 0 [] p2(f3(f3(X12,X13),X14),f3(X12,f3(X13,X14))).
% 1.87/2.08 0 [] p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))).
% 1.87/2.08 0 [] p2(f3(X6,X7),f3(X8,X9))| -p2(X6,X8)| -p2(X7,X9).
% 1.87/2.08 end_of_list.
% 1.87/2.08
% 1.87/2.08 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.87/2.08
% 1.87/2.08 This is a Horn set without equality. The strategy will
% 1.87/2.08 be hyperresolution, with satellites in sos and nuclei
% 1.87/2.08 in usable.
% 1.87/2.08
% 1.87/2.08 dependent: set(hyper_res).
% 1.87/2.08 dependent: clear(order_hyper).
% 1.87/2.08
% 1.87/2.08 ------------> process usable:
% 1.87/2.08 ** KEPT (pick-wt=6): 1 [] -p2(c6,f3(c8,f5(c9))).
% 1.87/2.08 ** KEPT (pick-wt=8): 2 [] p2(f5(A),f5(B))| -p4(A,B).
% 1.87/2.08 ** KEPT (pick-wt=9): 3 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.87/2.08 ** KEPT (pick-wt=9): 4 [] p4(A,B)| -p4(C,A)| -p4(C,B).
% 1.87/2.08 ** KEPT (pick-wt=10): 5 [] p2(A,B)| -p2(f3(A,C),f3(B,C)).
% 1.87/2.08 ** KEPT (pick-wt=10): 6 [] p2(f3(A,B),f3(C,B))| -p2(A,C).
% 1.87/2.08 ** KEPT (pick-wt=13): 7 [] p2(f3(A,B),f3(C,D))| -p2(A,C)| -p2(B,D).
% 1.87/2.08
% 1.87/2.08 ------------> process sos:
% 1.87/2.08 ** KEPT (pick-wt=3): 8 [] p2(A,A).
% 1.87/2.08 ** KEPT (pick-wt=3): 9 [] p4(A,A).
% 1.87/2.08 ** KEPT (pick-wt=7): 10 [] p2(f3(A,B),f3(B,A)).
% 1.87/2.08 ** KEPT (pick-wt=11): 11 [] p2(f3(A,f3(B,C)),f3(B,f3(A,C))).
% 1.87/2.08 ** KEPT (pick-wt=11): 12 [] p2(f3(f3(A,B),C),f3(A,f3(B,C))).
% 1.87/2.08 ** KEPT (pick-wt=12): 13 [] p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))).
% 1.87/2.08
% 1.87/2.08 ======= end of input processing =======
% 1.87/2.08
% 1.87/2.08 =========== start of search ===========
% 1.87/2.08
% 1.87/2.08 -------- PROOF --------
% 1.87/2.08
% 1.87/2.08 ----> UNIT CONFLICT at 0.20 sec ----> 4230 [binary,4229.1,1.1] $F.
% 1.87/2.08
% 1.87/2.08 Length of proof is 7. Level of proof is 5.
% 1.87/2.08
% 1.87/2.08 ---------------- PROOF ----------------
% 1.87/2.08 % SZS status Unsatisfiable
% 1.87/2.08 % SZS output start Refutation
% See solution above
% 1.87/2.08 ------------ end of proof -------------
% 1.87/2.08
% 1.87/2.08
% 1.87/2.08 Search stopped by max_proofs option.
% 1.87/2.08
% 1.87/2.08
% 1.87/2.08 Search stopped by max_proofs option.
% 1.87/2.08
% 1.87/2.08 ============ end of search ============
% 1.87/2.08
% 1.87/2.08 -------------- statistics -------------
% 1.87/2.08 clauses given 63
% 1.87/2.08 clauses generated 5726
% 1.87/2.08 clauses kept 4229
% 1.87/2.08 clauses forward subsumed 1510
% 1.87/2.08 clauses back subsumed 24
% 1.87/2.08 Kbytes malloced 2929
% 1.87/2.08
% 1.87/2.08 ----------- times (seconds) -----------
% 1.87/2.08 user CPU time 0.20 (0 hr, 0 min, 0 sec)
% 1.87/2.08 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.87/2.08 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.87/2.08
% 1.87/2.08 That finishes the proof of the theorem.
% 1.87/2.08
% 1.87/2.08 Process 27599 finished Wed Jul 27 11:26:07 2022
% 1.87/2.08 Otter interrupted
% 1.87/2.08 PROOF FOUND
%------------------------------------------------------------------------------