TSTP Solution File: SYN553-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN553-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n009.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 13:24:53 EDT 2022
% Result : Unsatisfiable 1.90s 2.10s
% Output : Refutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 4 RR)
% Number of literals : 15 ( 0 equ; 5 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( p2(A,B)
| ~ p2(A,C)
| ~ p2(C,B) ),
file('SYN553-1.p',unknown),
[] ).
cnf(4,axiom,
( p2(f8(A,B),f8(C,D))
| ~ p2(A,C)
| ~ p2(B,D) ),
file('SYN553-1.p',unknown),
[] ).
cnf(5,axiom,
~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
file('SYN553-1.p',unknown),
[] ).
cnf(6,axiom,
p2(A,A),
file('SYN553-1.p',unknown),
[] ).
cnf(8,axiom,
p2(f8(A,B),f8(B,A)),
file('SYN553-1.p',unknown),
[] ).
cnf(9,axiom,
p2(f8(A,f8(B,C)),f8(f8(A,B),C)),
file('SYN553-1.p',unknown),
[] ).
cnf(15,plain,
p2(f8(A,f8(B,C)),f8(A,f8(C,B))),
inference(hyper,[status(thm)],[8,4,6]),
[iquote('hyper,8,4,6')] ).
cnf(50,plain,
p2(f8(A,f8(B,C)),f8(C,f8(A,B))),
inference(hyper,[status(thm)],[9,3,8]),
[iquote('hyper,9,3,8')] ).
cnf(169,plain,
p2(f8(f8(A,B),C),f8(C,f8(B,A))),
inference(hyper,[status(thm)],[15,3,8]),
[iquote('hyper,15,3,8')] ).
cnf(2969,plain,
p2(f8(f8(A,B),C),f8(A,f8(C,B))),
inference(hyper,[status(thm)],[169,3,50]),
[iquote('hyper,169,3,50')] ).
cnf(2970,plain,
$false,
inference(binary,[status(thm)],[2969,5]),
[iquote('binary,2969.1,5.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN553-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n009.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 10:56:51 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.90/2.10 ----- Otter 3.3f, August 2004 -----
% 1.90/2.10 The process was started by sandbox2 on n009.cluster.edu,
% 1.90/2.10 Wed Jul 27 10:56:51 2022
% 1.90/2.10 The command was "./otter". The process ID is 32337.
% 1.90/2.10
% 1.90/2.10 set(prolog_style_variables).
% 1.90/2.10 set(auto).
% 1.90/2.10 dependent: set(auto1).
% 1.90/2.10 dependent: set(process_input).
% 1.90/2.10 dependent: clear(print_kept).
% 1.90/2.10 dependent: clear(print_new_demod).
% 1.90/2.10 dependent: clear(print_back_demod).
% 1.90/2.10 dependent: clear(print_back_sub).
% 1.90/2.10 dependent: set(control_memory).
% 1.90/2.10 dependent: assign(max_mem, 12000).
% 1.90/2.10 dependent: assign(pick_given_ratio, 4).
% 1.90/2.10 dependent: assign(stats_level, 1).
% 1.90/2.10 dependent: assign(max_seconds, 10800).
% 1.90/2.10 clear(print_given).
% 1.90/2.10
% 1.90/2.10 list(usable).
% 1.90/2.10 0 [] p2(X0,X0).
% 1.90/2.10 0 [] p2(c3,c4).
% 1.90/2.10 0 [] -p2(c4,f5(f6(c7))).
% 1.90/2.10 0 [] -p2(c3,f5(f6(c7))).
% 1.90/2.10 0 [] p2(f8(X11,X12),f8(X12,X11)).
% 1.90/2.10 0 [] p2(X1,X2)| -p2(X1,X3)| -p2(X3,X2).
% 1.90/2.10 0 [] p2(f8(X8,f8(X9,X10)),f8(f8(X8,X9),X10)).
% 1.90/2.10 0 [] p2(f8(X4,X5),f8(X6,X7))| -p2(X4,X6)| -p2(X5,X7).
% 1.90/2.10 0 [] -p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))).
% 1.90/2.10 end_of_list.
% 1.90/2.10
% 1.90/2.10 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.90/2.10
% 1.90/2.10 This is a Horn set without equality. The strategy will
% 1.90/2.10 be hyperresolution, with satellites in sos and nuclei
% 1.90/2.10 in usable.
% 1.90/2.10
% 1.90/2.10 dependent: set(hyper_res).
% 1.90/2.10 dependent: clear(order_hyper).
% 1.90/2.10
% 1.90/2.10 ------------> process usable:
% 1.90/2.10 ** KEPT (pick-wt=5): 1 [] -p2(c4,f5(f6(c7))).
% 1.90/2.10 ** KEPT (pick-wt=5): 2 [] -p2(c3,f5(f6(c7))).
% 1.90/2.10 ** KEPT (pick-wt=9): 3 [] p2(A,B)| -p2(A,C)| -p2(C,B).
% 1.90/2.10 ** KEPT (pick-wt=13): 4 [] p2(f8(A,B),f8(C,D))| -p2(A,C)| -p2(B,D).
% 1.90/2.10 ** KEPT (pick-wt=15): 5 [] -p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))).
% 1.90/2.10
% 1.90/2.10 ------------> process sos:
% 1.90/2.10 ** KEPT (pick-wt=3): 6 [] p2(A,A).
% 1.90/2.10 ** KEPT (pick-wt=3): 7 [] p2(c3,c4).
% 1.90/2.10 ** KEPT (pick-wt=7): 8 [] p2(f8(A,B),f8(B,A)).
% 1.90/2.10 ** KEPT (pick-wt=11): 9 [] p2(f8(A,f8(B,C)),f8(f8(A,B),C)).
% 1.90/2.10
% 1.90/2.10 ======= end of input processing =======
% 1.90/2.10
% 1.90/2.10 =========== start of search ===========
% 1.90/2.10
% 1.90/2.10 -------- PROOF --------
% 1.90/2.10
% 1.90/2.10 ----> UNIT CONFLICT at 0.20 sec ----> 2970 [binary,2969.1,5.1] $F.
% 1.90/2.10
% 1.90/2.10 Length of proof is 4. Level of proof is 3.
% 1.90/2.10
% 1.90/2.10 ---------------- PROOF ----------------
% 1.90/2.10 % SZS status Unsatisfiable
% 1.90/2.10 % SZS output start Refutation
% See solution above
% 1.90/2.10 ------------ end of proof -------------
% 1.90/2.10
% 1.90/2.10
% 1.90/2.10 Search stopped by max_proofs option.
% 1.90/2.10
% 1.90/2.10
% 1.90/2.10 Search stopped by max_proofs option.
% 1.90/2.10
% 1.90/2.10 ============ end of search ============
% 1.90/2.10
% 1.90/2.10 -------------- statistics -------------
% 1.90/2.10 clauses given 52
% 1.90/2.10 clauses generated 3787
% 1.90/2.10 clauses kept 2969
% 1.90/2.10 clauses forward subsumed 827
% 1.90/2.10 clauses back subsumed 0
% 1.90/2.10 Kbytes malloced 1953
% 1.90/2.10
% 1.90/2.10 ----------- times (seconds) -----------
% 1.90/2.10 user CPU time 0.20 (0 hr, 0 min, 0 sec)
% 1.90/2.10 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.90/2.10 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.90/2.10
% 1.90/2.10 That finishes the proof of the theorem.
% 1.90/2.10
% 1.90/2.10 Process 32337 finished Wed Jul 27 10:56:53 2022
% 1.90/2.10 Otter interrupted
% 1.90/2.10 PROOF FOUND
%------------------------------------------------------------------------------