TSTP Solution File: SYN729+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN729+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n017.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 13:25:12 EDT 2022
% Result : Theorem 1.56s 1.77s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 6 unt; 0 nHn; 11 RR)
% Number of literals : 16 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ p(A)
| l(A,g(h(dollar_f1(A)))) ),
file('SYN729+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ p(A)
| p(dollar_f1(A)) ),
file('SYN729+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ p(A)
| p(g(A)) ),
file('SYN729+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ p(A)
| p(h(A)) ),
file('SYN729+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ l(dollar_c1,A)
| ~ p(A) ),
file('SYN729+1.p',unknown),
[] ).
cnf(6,axiom,
p(dollar_c1),
file('SYN729+1.p',unknown),
[] ).
cnf(9,plain,
p(dollar_f1(dollar_c1)),
inference(hyper,[status(thm)],[6,2]),
[iquote('hyper,6,2')] ).
cnf(10,plain,
l(dollar_c1,g(h(dollar_f1(dollar_c1)))),
inference(hyper,[status(thm)],[6,1]),
[iquote('hyper,6,1')] ).
cnf(19,plain,
p(h(dollar_f1(dollar_c1))),
inference(hyper,[status(thm)],[9,4]),
[iquote('hyper,9,4')] ).
cnf(48,plain,
p(g(h(dollar_f1(dollar_c1)))),
inference(hyper,[status(thm)],[19,3]),
[iquote('hyper,19,3')] ).
cnf(135,plain,
$false,
inference(hyper,[status(thm)],[48,5,10]),
[iquote('hyper,48,5,10')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN729+1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 10:23:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.56/1.77 ----- Otter 3.3f, August 2004 -----
% 1.56/1.77 The process was started by sandbox2 on n017.cluster.edu,
% 1.56/1.77 Wed Jul 27 10:23:18 2022
% 1.56/1.77 The command was "./otter". The process ID is 2704.
% 1.56/1.77
% 1.56/1.77 set(prolog_style_variables).
% 1.56/1.77 set(auto).
% 1.56/1.77 dependent: set(auto1).
% 1.56/1.77 dependent: set(process_input).
% 1.56/1.77 dependent: clear(print_kept).
% 1.56/1.77 dependent: clear(print_new_demod).
% 1.56/1.77 dependent: clear(print_back_demod).
% 1.56/1.77 dependent: clear(print_back_sub).
% 1.56/1.77 dependent: set(control_memory).
% 1.56/1.77 dependent: assign(max_mem, 12000).
% 1.56/1.77 dependent: assign(pick_given_ratio, 4).
% 1.56/1.77 dependent: assign(stats_level, 1).
% 1.56/1.77 dependent: assign(max_seconds, 10800).
% 1.56/1.77 clear(print_given).
% 1.56/1.77
% 1.56/1.77 formula_list(usable).
% 1.56/1.77 -((all X exists Y (p(X)->l(X,g(h(Y)))&p(Y)))& (all W (p(W)->p(g(W))&p(h(W))))-> (all X (p(X)-> (exists Y (l(X,Y)&p(Y)))))).
% 1.56/1.77 end_of_list.
% 1.56/1.77
% 1.56/1.77 -------> usable clausifies to:
% 1.56/1.77
% 1.56/1.77 list(usable).
% 1.56/1.77 0 [] -p(X)|l(X,g(h($f1(X)))).
% 1.56/1.77 0 [] -p(X)|p($f1(X)).
% 1.56/1.77 0 [] -p(W)|p(g(W)).
% 1.56/1.77 0 [] -p(W)|p(h(W)).
% 1.56/1.77 0 [] p($c1).
% 1.56/1.77 0 [] -l($c1,Y)| -p(Y).
% 1.56/1.77 end_of_list.
% 1.56/1.77
% 1.56/1.77 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=2.
% 1.56/1.77
% 1.56/1.77 This is a Horn set without equality. The strategy will
% 1.56/1.77 be hyperresolution, with satellites in sos and nuclei
% 1.56/1.77 in usable.
% 1.56/1.77
% 1.56/1.77 dependent: set(hyper_res).
% 1.56/1.77 dependent: clear(order_hyper).
% 1.56/1.77
% 1.56/1.77 ------------> process usable:
% 1.56/1.77 ** KEPT (pick-wt=8): 1 [] -p(A)|l(A,g(h($f1(A)))).
% 1.56/1.77 ** KEPT (pick-wt=5): 2 [] -p(A)|p($f1(A)).
% 1.56/1.77 ** KEPT (pick-wt=5): 3 [] -p(A)|p(g(A)).
% 1.56/1.77 ** KEPT (pick-wt=5): 4 [] -p(A)|p(h(A)).
% 1.56/1.77 ** KEPT (pick-wt=5): 5 [] -l($c1,A)| -p(A).
% 1.56/1.77
% 1.56/1.77 ------------> process sos:
% 1.56/1.77 ** KEPT (pick-wt=2): 6 [] p($c1).
% 1.56/1.77
% 1.56/1.77 ======= end of input processing =======
% 1.56/1.77
% 1.56/1.77 =========== start of search ===========
% 1.56/1.77
% 1.56/1.77 -------- PROOF --------
% 1.56/1.77
% 1.56/1.77 -----> EMPTY CLAUSE at 0.00 sec ----> 135 [hyper,48,5,10] $F.
% 1.56/1.77
% 1.56/1.77 Length of proof is 4. Level of proof is 3.
% 1.56/1.77
% 1.56/1.77 ---------------- PROOF ----------------
% 1.56/1.77 % SZS status Theorem
% 1.56/1.77 % SZS output start Refutation
% See solution above
% 1.56/1.77 ------------ end of proof -------------
% 1.56/1.77
% 1.56/1.77
% 1.56/1.77 Search stopped by max_proofs option.
% 1.56/1.77
% 1.56/1.77
% 1.56/1.77 Search stopped by max_proofs option.
% 1.56/1.77
% 1.56/1.77 ============ end of search ============
% 1.56/1.77
% 1.56/1.77 -------------- statistics -------------
% 1.56/1.77 clauses given 40
% 1.56/1.77 clauses generated 129
% 1.56/1.77 clauses kept 134
% 1.56/1.77 clauses forward subsumed 0
% 1.56/1.77 clauses back subsumed 0
% 1.56/1.77 Kbytes malloced 976
% 1.56/1.77
% 1.56/1.77 ----------- times (seconds) -----------
% 1.56/1.77 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.56/1.77 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.56/1.77 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.56/1.77
% 1.56/1.77 That finishes the proof of the theorem.
% 1.56/1.77
% 1.56/1.77 Process 2704 finished Wed Jul 27 10:23:19 2022
% 1.56/1.77 Otter interrupted
% 1.56/1.77 PROOF FOUND
%------------------------------------------------------------------------------