%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN325+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n012.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 13:24:14 EDT 2022
% Result : Theorem 1.66s 1.87s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 4 unt; 1 nHn; 3 RR)
% Number of literals : 8 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 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; 1-1 aty)
% Number of variables : 5 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ big_f(dollar_f1(A),dollar_f1(A))
| big_g(A) ),
file('SYN325+1.p',unknown),
[] ).
cnf(3,axiom,
~ big_g(dollar_f1(A)),
file('SYN325+1.p',unknown),
[] ).
cnf(5,axiom,
( big_f(A,A)
| big_g(A) ),
file('SYN325+1.p',unknown),
[] ).
cnf(8,plain,
big_f(dollar_f1(A),dollar_f1(A)),
inference(hyper,[status(thm)],[5,3]),
[iquote('hyper,5,3')] ).
cnf(9,plain,
big_g(A),
inference(hyper,[status(thm)],[8,2]),
[iquote('hyper,8,2')] ).
cnf(10,plain,
$false,
inference(binary,[status(thm)],[9,3]),
[iquote('binary,9.1,3.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SYN325+1 : TPTP v8.1.0. Released v2.0.0.
% 0.09/0.12 % Command : otter-tptp-script %s
% 0.13/0.32 % Computer : n012.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Wed Jul 27 11:06:05 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.66/1.86 ----- Otter 3.3f, August 2004 -----
% 1.66/1.86 The process was started by sandbox2 on n012.cluster.edu,
% 1.66/1.86 Wed Jul 27 11:06:05 2022
% 1.66/1.86 The command was "./otter". The process ID is 3408.
% 1.66/1.86
% 1.66/1.86 set(prolog_style_variables).
% 1.66/1.86 set(auto).
% 1.66/1.86 dependent: set(auto1).
% 1.66/1.86 dependent: set(process_input).
% 1.66/1.86 dependent: clear(print_kept).
% 1.66/1.86 dependent: clear(print_new_demod).
% 1.66/1.86 dependent: clear(print_back_demod).
% 1.66/1.86 dependent: clear(print_back_sub).
% 1.66/1.86 dependent: set(control_memory).
% 1.66/1.86 dependent: assign(max_mem, 12000).
% 1.66/1.86 dependent: assign(pick_given_ratio, 4).
% 1.66/1.86 dependent: assign(stats_level, 1).
% 1.66/1.86 dependent: assign(max_seconds, 10800).
% 1.66/1.86 clear(print_given).
% 1.66/1.86
% 1.66/1.86 formula_list(usable).
% 1.66/1.86 -(exists X all Y (((big_f(X,X)->big_f(Y,Y))->big_f(X,Y)&big_g(X))->big_g(Y))).
% 1.66/1.86 end_of_list.
% 1.66/1.86
% 1.66/1.86 -------> usable clausifies to:
% 1.66/1.86
% 1.66/1.86 list(usable).
% 1.66/1.86 0 [] big_f(X,X)|big_f(X,$f1(X)).
% 1.66/1.86 0 [] big_f(X,X)|big_g(X).
% 1.66/1.86 0 [] -big_f($f1(X),$f1(X))|big_f(X,$f1(X)).
% 1.66/1.86 0 [] -big_f($f1(X),$f1(X))|big_g(X).
% 1.66/1.86 0 [] -big_g($f1(X)).
% 1.66/1.86 end_of_list.
% 1.66/1.86
% 1.66/1.86 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=2.
% 1.66/1.87
% 1.66/1.87 This is a non-Horn set without equality. The strategy will
% 1.66/1.87 be ordered hyper_res, unit deletion, and factoring, with
% 1.66/1.87 satellites in sos and with nuclei in usable.
% 1.66/1.87
% 1.66/1.87 dependent: set(hyper_res).
% 1.66/1.87 dependent: set(factor).
% 1.66/1.87 dependent: set(unit_deletion).
% 1.66/1.87
% 1.66/1.87 ------------> process usable:
% 1.66/1.87 ** KEPT (pick-wt=9): 1 [] -big_f($f1(A),$f1(A))|big_f(A,$f1(A)).
% 1.66/1.87 ** KEPT (pick-wt=7): 2 [] -big_f($f1(A),$f1(A))|big_g(A).
% 1.66/1.87 ** KEPT (pick-wt=3): 3 [] -big_g($f1(A)).
% 1.66/1.87
% 1.66/1.87 ------------> process sos:
% 1.66/1.87 ** KEPT (pick-wt=7): 4 [] big_f(A,A)|big_f(A,$f1(A)).
% 1.66/1.87 ** KEPT (pick-wt=5): 5 [] big_f(A,A)|big_g(A).
% 1.66/1.87
% 1.66/1.87 ======= end of input processing =======
% 1.66/1.87
% 1.66/1.87 =========== start of search ===========
% 1.66/1.87
% 1.66/1.87 -------- PROOF --------
% 1.66/1.87
% 1.66/1.87 ----> UNIT CONFLICT at 0.00 sec ----> 10 [binary,9.1,3.1] $F.
% 1.66/1.87
% 1.66/1.87 Length of proof is 2. Level of proof is 2.
% 1.66/1.87
% 1.66/1.87 ---------------- PROOF ----------------
% 1.66/1.87 % SZS status Theorem
% 1.66/1.87 % SZS output start Refutation
% See solution above
% 1.66/1.87 ------------ end of proof -------------
% 1.66/1.87
% 1.66/1.87
% 1.66/1.87 Search stopped by max_proofs option.
% 1.66/1.87
% 1.66/1.87
% 1.66/1.87 Search stopped by max_proofs option.
% 1.66/1.87
% 1.66/1.87 ============ end of search ============
% 1.66/1.87
% 1.66/1.87 -------------- statistics -------------
% 1.66/1.87 clauses given 3
% 1.66/1.87 clauses generated 4
% 1.66/1.87 clauses kept 9
% 1.66/1.87 clauses forward subsumed 0
% 1.66/1.87 clauses back subsumed 0
% 1.66/1.87 Kbytes malloced 976
% 1.66/1.87
% 1.66/1.87 ----------- times (seconds) -----------
% 1.66/1.87 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.66/1.87 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.66/1.87 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.66/1.87
% 1.66/1.87 That finishes the proof of the theorem.
% 1.66/1.87
% 1.66/1.87 Process 3408 finished Wed Jul 27 11:06:07 2022
% 1.66/1.87 Otter interrupted
% 1.66/1.87 PROOF FOUND
%------------------------------------------------------------------------------