TSTP Solution File: SYN318+1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN318+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n018.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 13:24:13 EDT 2022
% Result : Theorem 1.65s 1.85s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 3 RR)
% Number of literals : 7 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 5 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ big_f(A)
| ~ big_f(B)
| big_g(A) ),
file('SYN318+1.p',unknown),
[] ).
cnf(2,axiom,
~ big_g(A),
file('SYN318+1.p',unknown),
[] ).
cnf(4,axiom,
big_f(dollar_f1(A)),
file('SYN318+1.p',unknown),
[] ).
cnf(5,plain,
big_g(dollar_f1(A)),
inference(hyper,[status(thm)],[4,1,4]),
[iquote('hyper,4,1,4')] ).
cnf(6,plain,
$false,
inference(binary,[status(thm)],[5,2]),
[iquote('binary,5.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN318+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 11:15:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.65/1.85 ----- Otter 3.3f, August 2004 -----
% 1.65/1.85 The process was started by sandbox on n018.cluster.edu,
% 1.65/1.85 Wed Jul 27 11:15:16 2022
% 1.65/1.85 The command was "./otter". The process ID is 26457.
% 1.65/1.85
% 1.65/1.85 set(prolog_style_variables).
% 1.65/1.85 set(auto).
% 1.65/1.85 dependent: set(auto1).
% 1.65/1.85 dependent: set(process_input).
% 1.65/1.85 dependent: clear(print_kept).
% 1.65/1.85 dependent: clear(print_new_demod).
% 1.65/1.85 dependent: clear(print_back_demod).
% 1.65/1.85 dependent: clear(print_back_sub).
% 1.65/1.85 dependent: set(control_memory).
% 1.65/1.85 dependent: assign(max_mem, 12000).
% 1.65/1.85 dependent: assign(pick_given_ratio, 4).
% 1.65/1.85 dependent: assign(stats_level, 1).
% 1.65/1.85 dependent: assign(max_seconds, 10800).
% 1.65/1.85 clear(print_given).
% 1.65/1.85
% 1.65/1.85 formula_list(usable).
% 1.65/1.85 -(exists Y ((all X (big_f(X)-> (big_f(Y)->big_g(X))))-> (p-> (all X (big_f(X)->big_g(Y)))))).
% 1.65/1.85 end_of_list.
% 1.65/1.85
% 1.65/1.85 -------> usable clausifies to:
% 1.65/1.85
% 1.65/1.85 list(usable).
% 1.65/1.85 0 [] -big_f(X)| -big_f(Y)|big_g(X).
% 1.65/1.85 0 [] p.
% 1.65/1.85 0 [] big_f($f1(Y)).
% 1.65/1.85 0 [] -big_g(Y).
% 1.65/1.85 end_of_list.
% 1.65/1.85
% 1.65/1.85 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.65/1.85
% 1.65/1.85 This is a Horn set without equality. The strategy will
% 1.65/1.85 be hyperresolution, with satellites in sos and nuclei
% 1.65/1.85 in usable.
% 1.65/1.85
% 1.65/1.85 dependent: set(hyper_res).
% 1.65/1.85 dependent: clear(order_hyper).
% 1.65/1.85
% 1.65/1.85 ------------> process usable:
% 1.65/1.85 ** KEPT (pick-wt=6): 1 [] -big_f(A)| -big_f(B)|big_g(A).
% 1.65/1.85 ** KEPT (pick-wt=2): 2 [] -big_g(A).
% 1.65/1.85
% 1.65/1.85 ------------> process sos:
% 1.65/1.85 ** KEPT (pick-wt=1): 3 [] p.
% 1.65/1.85 ** KEPT (pick-wt=3): 4 [] big_f($f1(A)).
% 1.65/1.85
% 1.65/1.85 ======= end of input processing =======
% 1.65/1.85
% 1.65/1.85 =========== start of search ===========
% 1.65/1.85
% 1.65/1.85 -------- PROOF --------
% 1.65/1.85
% 1.65/1.85 ----> UNIT CONFLICT at 0.00 sec ----> 6 [binary,5.1,2.1] $F.
% 1.65/1.85
% 1.65/1.85 Length of proof is 1. Level of proof is 1.
% 1.65/1.85
% 1.65/1.85 ---------------- PROOF ----------------
% 1.65/1.85 % SZS status Theorem
% 1.65/1.85 % SZS output start Refutation
% See solution above
% 1.65/1.85 ------------ end of proof -------------
% 1.65/1.85
% 1.65/1.85
% 1.65/1.85 Search stopped by max_proofs option.
% 1.65/1.85
% 1.65/1.85
% 1.65/1.85 Search stopped by max_proofs option.
% 1.65/1.85
% 1.65/1.85 ============ end of search ============
% 1.65/1.85
% 1.65/1.85 -------------- statistics -------------
% 1.65/1.85 clauses given 2
% 1.65/1.85 clauses generated 1
% 1.65/1.85 clauses kept 5
% 1.65/1.85 clauses forward subsumed 0
% 1.65/1.85 clauses back subsumed 0
% 1.65/1.85 Kbytes malloced 976
% 1.65/1.85
% 1.65/1.85 ----------- times (seconds) -----------
% 1.65/1.85 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.65/1.85 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.65/1.85 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.65/1.85
% 1.65/1.85 That finishes the proof of the theorem.
% 1.65/1.85
% 1.65/1.85 Process 26457 finished Wed Jul 27 11:15:18 2022
% 1.65/1.85 Otter interrupted
% 1.65/1.85 PROOF FOUND
%------------------------------------------------------------------------------