%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN409+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n022.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 13:24:28 EDT 2022
% Result : Theorem 1.71s 1.91s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of clauses : 4 ( 2 unt; 1 nHn; 2 RR)
% Number of literals : 7 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 3 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ f(dollar_c1)
| ~ f(dollar_c3)
| ~ f(dollar_c2) ),
file('SYN409+1.p',unknown),
[] ).
cnf(2,axiom,
( f(A)
| f(B) ),
file('SYN409+1.p',unknown),
[] ).
cnf(3,plain,
f(A),
inference(factor_simp,[status(thm)],[inference(copy,[status(thm)],[2])]),
[iquote('copy,2,factor_simp')] ).
cnf(4,plain,
$false,
inference(hyper,[status(thm)],[3,1,3,3]),
[iquote('hyper,3,1,3,3')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN409+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.11 % Command : otter-tptp-script %s
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Jul 27 11:25:05 EDT 2022
% 0.11/0.32 % CPUTime :
% 1.71/1.91 ----- Otter 3.3f, August 2004 -----
% 1.71/1.91 The process was started by sandbox2 on n022.cluster.edu,
% 1.71/1.91 Wed Jul 27 11:25:05 2022
% 1.71/1.91 The command was "./otter". The process ID is 27945.
% 1.71/1.91
% 1.71/1.91 set(prolog_style_variables).
% 1.71/1.91 set(auto).
% 1.71/1.91 dependent: set(auto1).
% 1.71/1.91 dependent: set(process_input).
% 1.71/1.91 dependent: clear(print_kept).
% 1.71/1.91 dependent: clear(print_new_demod).
% 1.71/1.91 dependent: clear(print_back_demod).
% 1.71/1.91 dependent: clear(print_back_sub).
% 1.71/1.91 dependent: set(control_memory).
% 1.71/1.91 dependent: assign(max_mem, 12000).
% 1.71/1.91 dependent: assign(pick_given_ratio, 4).
% 1.71/1.91 dependent: assign(stats_level, 1).
% 1.71/1.91 dependent: assign(max_seconds, 10800).
% 1.71/1.91 clear(print_given).
% 1.71/1.91
% 1.71/1.91 formula_list(usable).
% 1.71/1.91 -((all X f(X))<-> (all Y Z (f(Y)&f(Z)))).
% 1.71/1.91 end_of_list.
% 1.71/1.91
% 1.71/1.91 -------> usable clausifies to:
% 1.71/1.91
% 1.71/1.91 list(usable).
% 1.71/1.91 0 [] f(X)|f(Y).
% 1.71/1.91 0 [] f(X)|f(Z).
% 1.71/1.91 0 [] -f($c1)| -f($c3)| -f($c2).
% 1.71/1.91 end_of_list.
% 1.71/1.91
% 1.71/1.91 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.71/1.91
% 1.71/1.91 This is a non-Horn set without equality. The strategy will
% 1.71/1.91 be ordered hyper_res, unit deletion, and factoring, with
% 1.71/1.91 satellites in sos and with nuclei in usable.
% 1.71/1.91
% 1.71/1.91 dependent: set(hyper_res).
% 1.71/1.91 dependent: set(factor).
% 1.71/1.91 dependent: set(unit_deletion).
% 1.71/1.91
% 1.71/1.91 ------------> process usable:
% 1.71/1.91 ** KEPT (pick-wt=6): 1 [] -f($c1)| -f($c3)| -f($c2).
% 1.71/1.91
% 1.71/1.91 ------------> process sos:
% 1.71/1.91 ** KEPT (pick-wt=2): 3 [copy,2,factor_simp] f(A).
% 1.71/1.91 Following clause subsumed by 3 during input processing: 0 [factor_simp] f(B).
% 1.71/1.91
% 1.71/1.91 ======= end of input processing =======
% 1.71/1.91
% 1.71/1.91 =========== start of search ===========
% 1.71/1.91
% 1.71/1.91 -------- PROOF --------
% 1.71/1.91
% 1.71/1.91 -----> EMPTY CLAUSE at 0.00 sec ----> 4 [hyper,3,1,3,3] $F.
% 1.71/1.91
% 1.71/1.91 Length of proof is 1. Level of proof is 1.
% 1.71/1.91
% 1.71/1.91 ---------------- PROOF ----------------
% 1.71/1.91 % SZS status Theorem
% 1.71/1.91 % SZS output start Refutation
% See solution above
% 1.71/1.91 ------------ end of proof -------------
% 1.71/1.91
% 1.71/1.91
% 1.71/1.91 Search stopped by max_proofs option.
% 1.71/1.91
% 1.71/1.91
% 1.71/1.91 Search stopped by max_proofs option.
% 1.71/1.91
% 1.71/1.91 ============ end of search ============
% 1.71/1.91
% 1.71/1.91 -------------- statistics -------------
% 1.71/1.91 clauses given 1
% 1.71/1.91 clauses generated 1
% 1.71/1.91 clauses kept 2
% 1.71/1.91 clauses forward subsumed 1
% 1.71/1.91 clauses back subsumed 0
% 1.71/1.91 Kbytes malloced 976
% 1.71/1.91
% 1.71/1.91 ----------- times (seconds) -----------
% 1.71/1.91 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.71/1.91 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.71/1.91 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.71/1.91
% 1.71/1.91 That finishes the proof of the theorem.
% 1.71/1.91
% 1.71/1.91 Process 27945 finished Wed Jul 27 11:25:07 2022
% 1.71/1.91 Otter interrupted
% 1.71/1.91 PROOF FOUND
%------------------------------------------------------------------------------