TSTP Solution File: SYN333-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN333-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n025.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 13:24:16 EDT 2022
% Result : Unsatisfiable 1.77s 1.99s
% Output : Refutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 3 unt; 0 nHn; 3 RR)
% Number of literals : 10 ( 0 equ; 6 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 8 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ f(A,z(B,A))
| ~ f(z(B,A),z(B,A))
| g(B,A) ),
file('SYN333-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ f(A,z(B,A))
| ~ f(z(B,A),z(B,A))
| ~ g(B,z(B,A))
| ~ g(z(B,A),z(B,A)) ),
file('SYN333-1.p',unknown),
[] ).
cnf(3,axiom,
f(A,B),
file('SYN333-1.p',unknown),
[] ).
cnf(4,plain,
g(A,B),
inference(hyper,[status(thm)],[3,1,3]),
[iquote('hyper,3,1,3')] ).
cnf(5,plain,
$false,
inference(hyper,[status(thm)],[4,2,3,3,4]),
[iquote('hyper,4,2,3,3,4')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN333-1 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n025.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 11:30:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.77/1.99 ----- Otter 3.3f, August 2004 -----
% 1.77/1.99 The process was started by sandbox on n025.cluster.edu,
% 1.77/1.99 Wed Jul 27 11:30:00 2022
% 1.77/1.99 The command was "./otter". The process ID is 2999.
% 1.77/1.99
% 1.77/1.99 set(prolog_style_variables).
% 1.77/1.99 set(auto).
% 1.77/1.99 dependent: set(auto1).
% 1.77/1.99 dependent: set(process_input).
% 1.77/1.99 dependent: clear(print_kept).
% 1.77/1.99 dependent: clear(print_new_demod).
% 1.77/1.99 dependent: clear(print_back_demod).
% 1.77/1.99 dependent: clear(print_back_sub).
% 1.77/1.99 dependent: set(control_memory).
% 1.77/1.99 dependent: assign(max_mem, 12000).
% 1.77/1.99 dependent: assign(pick_given_ratio, 4).
% 1.77/1.99 dependent: assign(stats_level, 1).
% 1.77/1.99 dependent: assign(max_seconds, 10800).
% 1.77/1.99 clear(print_given).
% 1.77/1.99
% 1.77/1.99 list(usable).
% 1.77/1.99 0 [] f(X,Y).
% 1.77/1.99 0 [] -f(Y,z(X,Y))| -f(z(X,Y),z(X,Y))|g(X,Y).
% 1.77/1.99 0 [] -f(Y,z(X,Y))| -f(z(X,Y),z(X,Y))| -g(X,z(X,Y))| -g(z(X,Y),z(X,Y)).
% 1.77/1.99 end_of_list.
% 1.77/1.99
% 1.77/1.99 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.77/1.99
% 1.77/1.99 This is a Horn set without equality. The strategy will
% 1.77/1.99 be hyperresolution, with satellites in sos and nuclei
% 1.77/1.99 in usable.
% 1.77/1.99
% 1.77/1.99 dependent: set(hyper_res).
% 1.77/1.99 dependent: clear(order_hyper).
% 1.77/1.99
% 1.77/1.99 ------------> process usable:
% 1.77/1.99 ** KEPT (pick-wt=15): 1 [] -f(A,z(B,A))| -f(z(B,A),z(B,A))|g(B,A).
% 1.77/1.99 ** KEPT (pick-wt=24): 2 [] -f(A,z(B,A))| -f(z(B,A),z(B,A))| -g(B,z(B,A))| -g(z(B,A),z(B,A)).
% 1.77/1.99
% 1.77/1.99 ------------> process sos:
% 1.77/1.99 ** KEPT (pick-wt=3): 3 [] f(A,B).
% 1.77/1.99
% 1.77/1.99 ======= end of input processing =======
% 1.77/1.99
% 1.77/1.99 =========== start of search ===========
% 1.77/1.99
% 1.77/1.99 -------- PROOF --------
% 1.77/1.99
% 1.77/1.99 -----> EMPTY CLAUSE at 0.00 sec ----> 5 [hyper,4,2,3,3,4] $F.
% 1.77/1.99
% 1.77/1.99 Length of proof is 1. Level of proof is 1.
% 1.77/1.99
% 1.77/1.99 ---------------- PROOF ----------------
% 1.77/1.99 % SZS status Unsatisfiable
% 1.77/1.99 % SZS output start Refutation
% See solution above
% 1.77/1.99 ------------ end of proof -------------
% 1.77/1.99
% 1.77/1.99
% 1.77/1.99 Search stopped by max_proofs option.
% 1.77/1.99
% 1.77/1.99
% 1.77/1.99 Search stopped by max_proofs option.
% 1.77/1.99
% 1.77/1.99 ============ end of search ============
% 1.77/1.99
% 1.77/1.99 -------------- statistics -------------
% 1.77/1.99 clauses given 2
% 1.77/1.99 clauses generated 3
% 1.77/1.99 clauses kept 4
% 1.77/1.99 clauses forward subsumed 1
% 1.77/1.99 clauses back subsumed 1
% 1.77/1.99 Kbytes malloced 976
% 1.77/1.99
% 1.77/1.99 ----------- times (seconds) -----------
% 1.77/1.99 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/1.99 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.77/1.99 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.77/1.99
% 1.77/1.99 That finishes the proof of the theorem.
% 1.77/1.99
% 1.77/1.99 Process 2999 finished Wed Jul 27 11:30:02 2022
% 1.77/1.99 Otter interrupted
% 1.77/1.99 PROOF FOUND
%------------------------------------------------------------------------------