%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN921+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.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 13:25:29 EDT 2022
% Result : Theorem 1.63s 1.81s
% Output : Refutation 1.63s
% 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 : 6 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 4 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ p(dollar_f1(A))
| q(A) ),
file('SYN921+1.p',unknown),
[] ).
cnf(2,axiom,
~ q(A),
file('SYN921+1.p',unknown),
[] ).
cnf(3,axiom,
p(A),
file('SYN921+1.p',unknown),
[] ).
cnf(4,plain,
q(A),
inference(hyper,[status(thm)],[3,1]),
[iquote('hyper,3,1')] ).
cnf(5,plain,
$false,
inference(binary,[status(thm)],[4,2]),
[iquote('binary,4.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN921+1 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 11:17:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.63/1.81 ----- Otter 3.3f, August 2004 -----
% 1.63/1.81 The process was started by sandbox on n019.cluster.edu,
% 1.63/1.81 Wed Jul 27 11:17:07 2022
% 1.63/1.81 The command was "./otter". The process ID is 7749.
% 1.63/1.81
% 1.63/1.81 set(prolog_style_variables).
% 1.63/1.81 set(auto).
% 1.63/1.81 dependent: set(auto1).
% 1.63/1.81 dependent: set(process_input).
% 1.63/1.81 dependent: clear(print_kept).
% 1.63/1.81 dependent: clear(print_new_demod).
% 1.63/1.81 dependent: clear(print_back_demod).
% 1.63/1.81 dependent: clear(print_back_sub).
% 1.63/1.81 dependent: set(control_memory).
% 1.63/1.81 dependent: assign(max_mem, 12000).
% 1.63/1.81 dependent: assign(pick_given_ratio, 4).
% 1.63/1.81 dependent: assign(stats_level, 1).
% 1.63/1.81 dependent: assign(max_seconds, 10800).
% 1.63/1.81 clear(print_given).
% 1.63/1.81
% 1.63/1.81 formula_list(usable).
% 1.63/1.81 -(exists X all Y ((p(Y)->q(X))-> (p(X)->q(X)))).
% 1.63/1.81 end_of_list.
% 1.63/1.81
% 1.63/1.81 -------> usable clausifies to:
% 1.63/1.81
% 1.63/1.81 list(usable).
% 1.63/1.81 0 [] -p($f1(X))|q(X).
% 1.63/1.81 0 [] p(X).
% 1.63/1.81 0 [] -q(X).
% 1.63/1.81 end_of_list.
% 1.63/1.81
% 1.63/1.81 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=2.
% 1.63/1.81
% 1.63/1.81 This is a Horn set without equality. The strategy will
% 1.63/1.81 be hyperresolution, with satellites in sos and nuclei
% 1.63/1.81 in usable.
% 1.63/1.81
% 1.63/1.81 dependent: set(hyper_res).
% 1.63/1.81 dependent: clear(order_hyper).
% 1.63/1.81
% 1.63/1.81 ------------> process usable:
% 1.63/1.81 ** KEPT (pick-wt=5): 1 [] -p($f1(A))|q(A).
% 1.63/1.81 ** KEPT (pick-wt=2): 2 [] -q(A).
% 1.63/1.81
% 1.63/1.81 ------------> process sos:
% 1.63/1.81 ** KEPT (pick-wt=2): 3 [] p(A).
% 1.63/1.81
% 1.63/1.81 ======= end of input processing =======
% 1.63/1.81
% 1.63/1.81 =========== start of search ===========
% 1.63/1.81
% 1.63/1.81 -------- PROOF --------
% 1.63/1.81
% 1.63/1.81 ----> UNIT CONFLICT at 0.00 sec ----> 5 [binary,4.1,2.1] $F.
% 1.63/1.81
% 1.63/1.81 Length of proof is 1. Level of proof is 1.
% 1.63/1.81
% 1.63/1.81 ---------------- PROOF ----------------
% 1.63/1.81 % SZS status Theorem
% 1.63/1.81 % SZS output start Refutation
% See solution above
% 1.63/1.81 ------------ end of proof -------------
% 1.63/1.81
% 1.63/1.81
% 1.63/1.81 Search stopped by max_proofs option.
% 1.63/1.81
% 1.63/1.81
% 1.63/1.81 Search stopped by max_proofs option.
% 1.63/1.81
% 1.63/1.81 ============ end of search ============
% 1.63/1.81
% 1.63/1.81 -------------- statistics -------------
% 1.63/1.81 clauses given 1
% 1.63/1.81 clauses generated 1
% 1.63/1.81 clauses kept 4
% 1.63/1.81 clauses forward subsumed 0
% 1.63/1.81 clauses back subsumed 0
% 1.63/1.81 Kbytes malloced 976
% 1.63/1.81
% 1.63/1.81 ----------- times (seconds) -----------
% 1.63/1.81 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.63/1.81 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.63/1.81 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.63/1.81
% 1.63/1.81 That finishes the proof of the theorem.
% 1.63/1.81
% 1.63/1.81 Process 7749 finished Wed Jul 27 11:17:08 2022
% 1.63/1.81 Otter interrupted
% 1.63/1.81 PROOF FOUND
%------------------------------------------------------------------------------