TSTP Solution File: SYN338+1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN338+1 : TPTP v8.1.0. Released v2.0.0.
% 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 13:24:17 EDT 2022
% Result : Theorem 1.54s 2.10s
% Output : Refutation 1.54s
% 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 : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 3 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ big_f(dollar_f1(A),dollar_f1(A)),
file('SYN338+1.p',unknown),
[] ).
cnf(3,axiom,
big_f(A,B),
file('SYN338+1.p',unknown),
[] ).
cnf(4,plain,
$false,
inference(binary,[status(thm)],[3,1]),
[iquote('binary,3.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN338+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 11:18:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.54/2.10
% 1.54/2.10 -------- PROOF --------
% 1.54/2.10 ----- Otter 3.3f, August 2004 -----
% 1.54/2.10 The process was started by sandbox2 on n025.cluster.edu,
% 1.54/2.10 Wed Jul 27 11:18:15 2022
% 1.54/2.10 The command was "./otter". The process ID is 19959.
% 1.54/2.10
% 1.54/2.10 set(prolog_style_variables).
% 1.54/2.10 set(auto).
% 1.54/2.10 dependent: set(auto1).
% 1.54/2.10 dependent: set(process_input).
% 1.54/2.10 dependent: clear(print_kept).
% 1.54/2.10 dependent: clear(print_new_demod).
% 1.54/2.10 dependent: clear(print_back_demod).
% 1.54/2.10 dependent: clear(print_back_sub).
% 1.54/2.10 dependent: set(control_memory).
% 1.54/2.10 dependent: assign(max_mem, 12000).
% 1.54/2.10 dependent: assign(pick_given_ratio, 4).
% 1.54/2.10 dependent: assign(stats_level, 1).
% 1.54/2.10 dependent: assign(max_seconds, 10800).
% 1.54/2.10 clear(print_given).
% 1.54/2.10
% 1.54/2.10 formula_list(usable).
% 1.54/2.10 -(exists X all Y exists Z (big_f(X,Y)-> (big_f(Z,X)->big_f(Y,Y)))).
% 1.54/2.10 end_of_list.
% 1.54/2.10
% 1.54/2.10 -------> usable clausifies to:
% 1.54/2.10
% 1.54/2.10 list(usable).
% 1.54/2.10 0 [] big_f(X,$f1(X)).
% 1.54/2.10 0 [] big_f(Z,X).
% 1.54/2.10 0 [] -big_f($f1(X),$f1(X)).
% 1.54/2.10 end_of_list.
% 1.54/2.10
% 1.54/2.10 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=1.
% 1.54/2.10
% 1.54/2.10 This is a Horn set without equality. The strategy will
% 1.54/2.10 be hyperresolution, with satellites in sos and nuclei
% 1.54/2.10 in usable.
% 1.54/2.10
% 1.54/2.10 dependent: set(hyper_res).
% 1.54/2.10 dependent: clear(order_hyper).
% 1.54/2.10
% 1.54/2.10 ------------> process usable:
% 1.54/2.10 ** KEPT (pick-wt=5): 1 [] -big_f($f1(A),$f1(A)).
% 1.54/2.10
% 1.54/2.10 ------------> process sos:
% 1.54/2.10 ** KEPT (pick-wt=4): 2 [] big_f(A,$f1(A)).
% 1.54/2.10 ** KEPT (pick-wt=3): 3 [] big_f(A,B).
% 1.54/2.10
% 1.54/2.10 ----> UNIT CONFLICT at 0.00 sec ----> 4 [binary,3.1,1.1] $F.
% 1.54/2.10
% 1.54/2.10 Length of proof is 0. Level of proof is 0.
% 1.54/2.10
% 1.54/2.10 ---------------- PROOF ----------------
% 1.54/2.10 % SZS status Theorem
% 1.54/2.10 % SZS output start Refutation
% See solution above
% 1.54/2.10 ------------ end of proof -------------
% 1.54/2.10
% 1.54/2.10
% 1.54/2.10 Search stopped by max_proofs option.
% 1.54/2.10
% 1.54/2.10
% 1.54/2.10 Search stopped by max_proofs option.
% 1.54/2.10
% 1.54/2.10 ============ end of search ============
% 1.54/2.10
% 1.54/2.10 -------------- statistics -------------
% 1.54/2.10 clauses given 0
% 1.54/2.10 clauses generated 0
% 1.54/2.10 clauses kept 3
% 1.54/2.10 clauses forward subsumed 0
% 1.54/2.10 clauses back subsumed 0
% 1.54/2.10 Kbytes malloced 976
% 1.54/2.10
% 1.54/2.10 ----------- times (seconds) -----------
% 1.54/2.10 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.54/2.10 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.54/2.10 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.54/2.10
% 1.54/2.10 That finishes the proof of the theorem.
% 1.54/2.10
% 1.54/2.10 Process 19959 finished Wed Jul 27 11:18:17 2022
% 1.54/2.10 Otter interrupted
% 1.54/2.10 PROOF FOUND
%------------------------------------------------------------------------------