TSTP Solution File: SYN555-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN555-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n027.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 1.67s 1.87s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 6 RR)
% Number of literals : 13 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p4(f5(c7,c10,c8),c8),
file('SYN555-1.p',unknown),
[] ).
cnf(3,axiom,
( p4(A,B)
| ~ p4(C,A)
| ~ p4(C,B) ),
file('SYN555-1.p',unknown),
[] ).
cnf(7,axiom,
( p4(f5(c7,A,B),B)
| ~ p4(f5(c7,A,C),C)
| ~ p4(f5(c7,f6(A,C,B),C),f5(c7,f6(A,C,B),B)) ),
file('SYN555-1.p',unknown),
[] ).
cnf(9,axiom,
p4(A,A),
file('SYN555-1.p',unknown),
[] ).
cnf(11,axiom,
p4(f5(c7,c10,c9),c9),
file('SYN555-1.p',unknown),
[] ).
cnf(12,axiom,
p4(f5(c7,A,c8),f5(c7,A,c9)),
file('SYN555-1.p',unknown),
[] ).
cnf(32,plain,
p4(f5(c7,A,c9),f5(c7,A,c8)),
inference(hyper,[status(thm)],[12,3,9]),
[iquote('hyper,12,3,9')] ).
cnf(33,plain,
p4(f5(c7,c10,c8),c8),
inference(hyper,[status(thm)],[32,7,11]),
[iquote('hyper,32,7,11')] ).
cnf(34,plain,
$false,
inference(binary,[status(thm)],[33,1]),
[iquote('binary,33.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN555-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n027.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 11:41:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.67/1.87 ----- Otter 3.3f, August 2004 -----
% 1.67/1.87 The process was started by sandbox on n027.cluster.edu,
% 1.67/1.87 Wed Jul 27 11:41:07 2022
% 1.67/1.87 The command was "./otter". The process ID is 22901.
% 1.67/1.87
% 1.67/1.87 set(prolog_style_variables).
% 1.67/1.87 set(auto).
% 1.67/1.87 dependent: set(auto1).
% 1.67/1.87 dependent: set(process_input).
% 1.67/1.87 dependent: clear(print_kept).
% 1.67/1.87 dependent: clear(print_new_demod).
% 1.67/1.87 dependent: clear(print_back_demod).
% 1.67/1.87 dependent: clear(print_back_sub).
% 1.67/1.87 dependent: set(control_memory).
% 1.67/1.87 dependent: assign(max_mem, 12000).
% 1.67/1.87 dependent: assign(pick_given_ratio, 4).
% 1.67/1.87 dependent: assign(stats_level, 1).
% 1.67/1.87 dependent: assign(max_seconds, 10800).
% 1.67/1.87 clear(print_given).
% 1.67/1.87
% 1.67/1.87 list(usable).
% 1.67/1.87 0 [] p2(X0,X0).
% 1.67/1.87 0 [] p4(X12,X12).
% 1.67/1.87 0 [] p3(X3,X3).
% 1.67/1.87 0 [] p4(f5(c7,c10,c9),c9).
% 1.67/1.87 0 [] -p4(f5(c7,c10,c8),c8).
% 1.67/1.87 0 [] p4(f5(c7,X24,c8),f5(c7,X24,c9)).
% 1.67/1.87 0 [] p2(X1,X2)| -p2(X0,X1)| -p2(X0,X2).
% 1.67/1.87 0 [] p4(X13,X14)| -p4(X12,X13)| -p4(X12,X14).
% 1.67/1.87 0 [] p3(X4,X5)| -p3(X3,X4)| -p3(X3,X5).
% 1.67/1.87 0 [] p3(f6(X6,X7,X8),f6(X9,X10,X11))| -p4(X8,X11)| -p4(X7,X10)| -p3(X6,X9).
% 1.67/1.87 0 [] p4(f5(X15,X16,X17),f5(X18,X19,X20))| -p3(X16,X19)| -p4(X17,X20)| -p2(X15,X18).
% 1.67/1.87 0 [] p4(f5(c7,X21,X22),X22)| -p4(f5(c7,X21,X23),X23)| -p4(f5(c7,f6(X21,X23,X22),X23),f5(c7,f6(X21,X23,X22),X22)).
% 1.67/1.87 end_of_list.
% 1.67/1.87
% 1.67/1.87 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.67/1.87
% 1.67/1.87 This is a Horn set without equality. The strategy will
% 1.67/1.87 be hyperresolution, with satellites in sos and nuclei
% 1.67/1.87 in usable.
% 1.67/1.87
% 1.67/1.87 dependent: set(hyper_res).
% 1.67/1.87 dependent: clear(order_hyper).
% 1.67/1.87
% 1.67/1.87 ------------> process usable:
% 1.67/1.87 ** KEPT (pick-wt=6): 1 [] -p4(f5(c7,c10,c8),c8).
% 1.67/1.87 ** KEPT (pick-wt=9): 2 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.67/1.87 ** KEPT (pick-wt=9): 3 [] p4(A,B)| -p4(C,A)| -p4(C,B).
% 1.67/1.87 ** KEPT (pick-wt=9): 4 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.67/1.87 ** KEPT (pick-wt=18): 5 [] p3(f6(A,B,C),f6(D,E,F))| -p4(C,F)| -p4(B,E)| -p3(A,D).
% 1.67/1.87 ** KEPT (pick-wt=18): 6 [] p4(f5(A,B,C),f5(D,E,F))| -p3(B,E)| -p4(C,F)| -p2(A,D).
% 1.67/1.87 ** KEPT (pick-wt=27): 7 [] p4(f5(c7,A,B),B)| -p4(f5(c7,A,C),C)| -p4(f5(c7,f6(A,C,B),C),f5(c7,f6(A,C,B),B)).
% 1.67/1.87
% 1.67/1.87 ------------> process sos:
% 1.67/1.87 ** KEPT (pick-wt=3): 8 [] p2(A,A).
% 1.67/1.87 ** KEPT (pick-wt=3): 9 [] p4(A,A).
% 1.67/1.87 ** KEPT (pick-wt=3): 10 [] p3(A,A).
% 1.67/1.87 ** KEPT (pick-wt=6): 11 [] p4(f5(c7,c10,c9),c9).
% 1.67/1.87 ** KEPT (pick-wt=9): 12 [] p4(f5(c7,A,c8),f5(c7,A,c9)).
% 1.67/1.87
% 1.67/1.87 ======= end of input processing =======
% 1.67/1.87
% 1.67/1.87 =========== start of search ===========
% 1.67/1.87
% 1.67/1.87 -------- PROOF --------
% 1.67/1.87
% 1.67/1.87 ----> UNIT CONFLICT at 0.00 sec ----> 34 [binary,33.1,1.1] $F.
% 1.67/1.87
% 1.67/1.87 Length of proof is 2. Level of proof is 2.
% 1.67/1.87
% 1.67/1.87 ---------------- PROOF ----------------
% 1.67/1.87 % SZS status Unsatisfiable
% 1.67/1.87 % SZS output start Refutation
% See solution above
% 1.67/1.87 ------------ end of proof -------------
% 1.67/1.87
% 1.67/1.87
% 1.67/1.87 Search stopped by max_proofs option.
% 1.67/1.87
% 1.67/1.87
% 1.67/1.87 Search stopped by max_proofs option.
% 1.67/1.87
% 1.67/1.87 ============ end of search ============
% 1.67/1.87
% 1.67/1.87 -------------- statistics -------------
% 1.67/1.87 clauses given 7
% 1.67/1.87 clauses generated 43
% 1.67/1.87 clauses kept 33
% 1.67/1.87 clauses forward subsumed 22
% 1.67/1.87 clauses back subsumed 0
% 1.67/1.87 Kbytes malloced 976
% 1.67/1.87
% 1.67/1.87 ----------- times (seconds) -----------
% 1.67/1.87 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.87 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.87 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.67/1.87
% 1.67/1.87 That finishes the proof of the theorem.
% 1.67/1.87
% 1.67/1.87 Process 22901 finished Wed Jul 27 11:41:08 2022
% 1.67/1.87 Otter interrupted
% 1.67/1.87 PROOF FOUND
%------------------------------------------------------------------------------