%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN563-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n012.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 1.55s 1.76s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 17 ( 12 unt; 0 nHn; 14 RR)
% Number of literals : 25 ( 0 equ; 9 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 : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
~ p6(f4(c7),f3(f4(c8))),
file('SYN563-1.p',unknown),
[] ).
cnf(5,axiom,
( p6(c7,f3(A))
| ~ p6(c7,A) ),
file('SYN563-1.p',unknown),
[] ).
cnf(6,axiom,
( p6(f4(A),B)
| ~ p5(A,B) ),
file('SYN563-1.p',unknown),
[] ).
cnf(7,axiom,
( p2(f3(A),f3(B))
| ~ p2(A,B) ),
file('SYN563-1.p',unknown),
[] ).
cnf(11,axiom,
( p5(A,B)
| ~ p5(C,B)
| ~ p6(A,C) ),
file('SYN563-1.p',unknown),
[] ).
cnf(13,axiom,
( p5(A,B)
| ~ p2(C,B)
| ~ p5(D,C)
| ~ p2(D,A) ),
file('SYN563-1.p',unknown),
[] ).
cnf(14,axiom,
p2(A,A),
file('SYN563-1.p',unknown),
[] ).
cnf(15,axiom,
p6(A,A),
file('SYN563-1.p',unknown),
[] ).
cnf(16,axiom,
p2(f4(c7),f4(c8)),
file('SYN563-1.p',unknown),
[] ).
cnf(17,axiom,
p5(f3(f3(A)),f3(f4(A))),
file('SYN563-1.p',unknown),
[] ).
cnf(18,plain,
p6(c7,f3(c7)),
inference(hyper,[status(thm)],[15,5]),
[iquote('hyper,15,5')] ).
cnf(20,plain,
p6(c7,f3(f3(c7))),
inference(hyper,[status(thm)],[18,5]),
[iquote('hyper,18,5')] ).
cnf(35,plain,
p2(f3(f4(c7)),f3(f4(c8))),
inference(hyper,[status(thm)],[16,7]),
[iquote('hyper,16,7')] ).
cnf(43,plain,
p5(c7,f3(f4(c7))),
inference(hyper,[status(thm)],[17,11,20]),
[iquote('hyper,17,11,20')] ).
cnf(103,plain,
p5(c7,f3(f4(c8))),
inference(hyper,[status(thm)],[35,13,43,14]),
[iquote('hyper,35,13,43,14')] ).
cnf(111,plain,
p6(f4(c7),f3(f4(c8))),
inference(hyper,[status(thm)],[103,6]),
[iquote('hyper,103,6')] ).
cnf(112,plain,
$false,
inference(binary,[status(thm)],[111,2]),
[iquote('binary,111.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN563-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 11:05:20 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.55/1.76 ----- Otter 3.3f, August 2004 -----
% 1.55/1.76 The process was started by sandbox2 on n012.cluster.edu,
% 1.55/1.76 Wed Jul 27 11:05:20 2022
% 1.55/1.76 The command was "./otter". The process ID is 622.
% 1.55/1.76
% 1.55/1.76 set(prolog_style_variables).
% 1.55/1.76 set(auto).
% 1.55/1.76 dependent: set(auto1).
% 1.55/1.76 dependent: set(process_input).
% 1.55/1.76 dependent: clear(print_kept).
% 1.55/1.76 dependent: clear(print_new_demod).
% 1.55/1.76 dependent: clear(print_back_demod).
% 1.55/1.76 dependent: clear(print_back_sub).
% 1.55/1.76 dependent: set(control_memory).
% 1.55/1.76 dependent: assign(max_mem, 12000).
% 1.55/1.76 dependent: assign(pick_given_ratio, 4).
% 1.55/1.76 dependent: assign(stats_level, 1).
% 1.55/1.76 dependent: assign(max_seconds, 10800).
% 1.55/1.76 clear(print_given).
% 1.55/1.76
% 1.55/1.76 list(usable).
% 1.55/1.76 0 [] p2(X0,X0).
% 1.55/1.76 0 [] p6(X22,X22).
% 1.55/1.76 0 [] -p6(f4(c7),c8).
% 1.55/1.76 0 [] p2(f4(c7),f4(c8)).
% 1.55/1.76 0 [] -p6(f4(c7),f3(f4(c8))).
% 1.55/1.76 0 [] p6(X20,X21)| -p5(X20,X21).
% 1.55/1.76 0 [] p5(f3(f3(X16)),f3(f4(X16))).
% 1.55/1.76 0 [] p5(X10,X11)| -p6(f4(X10),X11).
% 1.55/1.76 0 [] p6(c7,f3(X27))| -p6(c7,X27).
% 1.55/1.76 0 [] p6(f4(X10),X11)| -p5(X10,X11).
% 1.55/1.76 0 [] p2(f3(X3),f3(X4))| -p2(X3,X4).
% 1.55/1.76 0 [] p2(f4(X5),f4(X6))| -p2(X5,X6).
% 1.55/1.76 0 [] p2(X1,X2)| -p2(X0,X1)| -p2(X0,X2).
% 1.55/1.76 0 [] p6(X17,X18)| -p6(X17,X19)| -p6(X19,X18).
% 1.55/1.76 0 [] p5(X7,X8)| -p5(X9,X8)| -p6(X7,X9).
% 1.55/1.76 0 [] p6(X23,X24)| -p2(X26,X23)| -p6(X26,X25)| -p2(X25,X24).
% 1.55/1.76 0 [] p5(X12,X13)| -p2(X15,X13)| -p5(X14,X15)| -p2(X14,X12).
% 1.55/1.76 end_of_list.
% 1.55/1.76
% 1.55/1.76 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.55/1.76
% 1.55/1.76 This is a Horn set without equality. The strategy will
% 1.55/1.76 be hyperresolution, with satellites in sos and nuclei
% 1.55/1.76 in usable.
% 1.55/1.76
% 1.55/1.76 dependent: set(hyper_res).
% 1.55/1.76 dependent: clear(order_hyper).
% 1.55/1.76
% 1.55/1.76 ------------> process usable:
% 1.55/1.76 ** KEPT (pick-wt=4): 1 [] -p6(f4(c7),c8).
% 1.55/1.76 ** KEPT (pick-wt=6): 2 [] -p6(f4(c7),f3(f4(c8))).
% 1.55/1.76 ** KEPT (pick-wt=6): 3 [] p6(A,B)| -p5(A,B).
% 1.55/1.76 ** KEPT (pick-wt=7): 4 [] p5(A,B)| -p6(f4(A),B).
% 1.55/1.76 ** KEPT (pick-wt=7): 5 [] p6(c7,f3(A))| -p6(c7,A).
% 1.55/1.76 ** KEPT (pick-wt=7): 6 [] p6(f4(A),B)| -p5(A,B).
% 1.55/1.76 ** KEPT (pick-wt=8): 7 [] p2(f3(A),f3(B))| -p2(A,B).
% 1.55/1.76 ** KEPT (pick-wt=8): 8 [] p2(f4(A),f4(B))| -p2(A,B).
% 1.55/1.76 ** KEPT (pick-wt=9): 9 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.55/1.76 ** KEPT (pick-wt=9): 10 [] p6(A,B)| -p6(A,C)| -p6(C,B).
% 1.55/1.76 ** KEPT (pick-wt=9): 11 [] p5(A,B)| -p5(C,B)| -p6(A,C).
% 1.55/1.76 ** KEPT (pick-wt=12): 12 [] p6(A,B)| -p2(C,A)| -p6(C,D)| -p2(D,B).
% 1.55/1.76 ** KEPT (pick-wt=12): 13 [] p5(A,B)| -p2(C,B)| -p5(D,C)| -p2(D,A).
% 1.55/1.76
% 1.55/1.76 ------------> process sos:
% 1.55/1.76 ** KEPT (pick-wt=3): 14 [] p2(A,A).
% 1.55/1.76 ** KEPT (pick-wt=3): 15 [] p6(A,A).
% 1.55/1.76 ** KEPT (pick-wt=5): 16 [] p2(f4(c7),f4(c8)).
% 1.55/1.76 ** KEPT (pick-wt=7): 17 [] p5(f3(f3(A)),f3(f4(A))).
% 1.55/1.76
% 1.55/1.76 ======= end of input processing =======
% 1.55/1.76
% 1.55/1.76 =========== start of search ===========
% 1.55/1.76
% 1.55/1.76 -------- PROOF --------
% 1.55/1.76
% 1.55/1.76 ----> UNIT CONFLICT at 0.00 sec ----> 112 [binary,111.1,2.1] $F.
% 1.55/1.76
% 1.55/1.76 Length of proof is 6. Level of proof is 5.
% 1.55/1.76
% 1.55/1.76 ---------------- PROOF ----------------
% 1.55/1.76 % SZS status Unsatisfiable
% 1.55/1.76 % SZS output start Refutation
% See solution above
% 1.55/1.76 ------------ end of proof -------------
% 1.55/1.76
% 1.55/1.76
% 1.55/1.76 Search stopped by max_proofs option.
% 1.55/1.76
% 1.55/1.76
% 1.55/1.76 Search stopped by max_proofs option.
% 1.55/1.76
% 1.55/1.76 ============ end of search ============
% 1.55/1.76
% 1.55/1.76 -------------- statistics -------------
% 1.55/1.76 clauses given 32
% 1.55/1.76 clauses generated 270
% 1.55/1.76 clauses kept 111
% 1.55/1.76 clauses forward subsumed 176
% 1.55/1.76 clauses back subsumed 0
% 1.55/1.76 Kbytes malloced 976
% 1.55/1.76
% 1.55/1.76 ----------- times (seconds) -----------
% 1.55/1.76 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.55/1.76 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.55/1.76 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.55/1.76
% 1.55/1.76 That finishes the proof of the theorem.
% 1.55/1.76
% 1.55/1.76 Process 622 finished Wed Jul 27 11:05:22 2022
% 1.55/1.76 Otter interrupted
% 1.55/1.76 PROOF FOUND
%------------------------------------------------------------------------------