TSTP Solution File: SYN064+1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN064+1 : TPTP v8.1.0. Released v2.0.0.
% 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 13:23:28 EDT 2022
% Result : Theorem 1.56s 1.77s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 2
% Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 2 RR)
% Number of literals : 3 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% Number of variables : 4 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ big_p(dollar_f2(A,B),dollar_f1(A,B)),
file('SYN064+1.p',unknown),
[] ).
cnf(2,axiom,
big_p(A,B),
file('SYN064+1.p',unknown),
[] ).
cnf(3,plain,
$false,
inference(binary,[status(thm)],[2,1]),
[iquote('binary,2.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN064+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 11:36:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.56/1.77
% 1.56/1.77 -------- PROOF --------
% 1.56/1.77 ----- Otter 3.3f, August 2004 -----
% 1.56/1.77 The process was started by sandbox on n027.cluster.edu,
% 1.56/1.77 Wed Jul 27 11:36:22 2022
% 1.56/1.77 The command was "./otter". The process ID is 6234.
% 1.56/1.77
% 1.56/1.77 set(prolog_style_variables).
% 1.56/1.77 set(auto).
% 1.56/1.77 dependent: set(auto1).
% 1.56/1.77 dependent: set(process_input).
% 1.56/1.77 dependent: clear(print_kept).
% 1.56/1.77 dependent: clear(print_new_demod).
% 1.56/1.77 dependent: clear(print_back_demod).
% 1.56/1.77 dependent: clear(print_back_sub).
% 1.56/1.77 dependent: set(control_memory).
% 1.56/1.77 dependent: assign(max_mem, 12000).
% 1.56/1.77 dependent: assign(pick_given_ratio, 4).
% 1.56/1.77 dependent: assign(stats_level, 1).
% 1.56/1.77 dependent: assign(max_seconds, 10800).
% 1.56/1.77 clear(print_given).
% 1.56/1.77
% 1.56/1.77 formula_list(usable).
% 1.56/1.77 -(exists X Y (big_p(X,Y)-> (all Z W big_p(Z,W)))).
% 1.56/1.77 end_of_list.
% 1.56/1.77
% 1.56/1.77 -------> usable clausifies to:
% 1.56/1.77
% 1.56/1.77 list(usable).
% 1.56/1.77 0 [] big_p(X,Y).
% 1.56/1.77 0 [] -big_p($f2(X,Y),$f1(X,Y)).
% 1.56/1.77 end_of_list.
% 1.56/1.77
% 1.56/1.77 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=1.
% 1.56/1.77
% 1.56/1.77 This is a Horn set without equality. The strategy will
% 1.56/1.77 be hyperresolution, with satellites in sos and nuclei
% 1.56/1.77 in usable.
% 1.56/1.77
% 1.56/1.77 dependent: set(hyper_res).
% 1.56/1.77 dependent: clear(order_hyper).
% 1.56/1.77
% 1.56/1.77 ------------> process usable:
% 1.56/1.77 ** KEPT (pick-wt=7): 1 [] -big_p($f2(A,B),$f1(A,B)).
% 1.56/1.77
% 1.56/1.77 ------------> process sos:
% 1.56/1.77 ** KEPT (pick-wt=3): 2 [] big_p(A,B).
% 1.56/1.77
% 1.56/1.77 ----> UNIT CONFLICT at 0.00 sec ----> 3 [binary,2.1,1.1] $F.
% 1.56/1.77
% 1.56/1.77 Length of proof is 0. Level of proof is 0.
% 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 0
% 1.56/1.77 clauses generated 0
% 1.56/1.77 clauses kept 2
% 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 6234 finished Wed Jul 27 11:36:23 2022
% 1.56/1.77 Otter interrupted
% 1.56/1.77 PROOF FOUND
%------------------------------------------------------------------------------