TSTP Solution File: PUZ128+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ128+1 : TPTP v8.1.0. Released v4.0.0.
% 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 13:11:39 EDT 2022
% Result : Theorem 1.53s 1.75s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 10 ( 9 unt; 0 nHn; 10 RR)
% Number of literals : 13 ( 0 equ; 4 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ patricide(thersandros),
file('PUZ128+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ parent_of(iokaste,A)
| ~ patricide(A)
| ~ parent_of(A,B)
| patricide(B) ),
file('PUZ128+1.p',unknown),
[] ).
cnf(3,axiom,
parent_of(iokaste,oedipus),
file('PUZ128+1.p',unknown),
[] ).
cnf(4,axiom,
parent_of(iokaste,polyneikes),
file('PUZ128+1.p',unknown),
[] ).
cnf(5,axiom,
parent_of(oedipus,polyneikes),
file('PUZ128+1.p',unknown),
[] ).
cnf(6,axiom,
parent_of(polyneikes,thersandros),
file('PUZ128+1.p',unknown),
[] ).
cnf(7,axiom,
patricide(oedipus),
file('PUZ128+1.p',unknown),
[] ).
cnf(8,plain,
patricide(polyneikes),
inference(hyper,[status(thm)],[5,2,3,7]),
[iquote('hyper,5,2,3,7')] ).
cnf(9,plain,
patricide(thersandros),
inference(hyper,[status(thm)],[6,2,4,8]),
[iquote('hyper,6,2,4,8')] ).
cnf(10,plain,
$false,
inference(binary,[status(thm)],[9,1]),
[iquote('binary,9.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : PUZ128+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n027.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 02:02:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.53/1.75 ----- Otter 3.3f, August 2004 -----
% 1.53/1.75 The process was started by sandbox2 on n027.cluster.edu,
% 1.53/1.75 Wed Jul 27 02:02:06 2022
% 1.53/1.75 The command was "./otter". The process ID is 4071.
% 1.53/1.75
% 1.53/1.75 set(prolog_style_variables).
% 1.53/1.75 set(auto).
% 1.53/1.75 dependent: set(auto1).
% 1.53/1.75 dependent: set(process_input).
% 1.53/1.75 dependent: clear(print_kept).
% 1.53/1.75 dependent: clear(print_new_demod).
% 1.53/1.75 dependent: clear(print_back_demod).
% 1.53/1.75 dependent: clear(print_back_sub).
% 1.53/1.75 dependent: set(control_memory).
% 1.53/1.75 dependent: assign(max_mem, 12000).
% 1.53/1.75 dependent: assign(pick_given_ratio, 4).
% 1.53/1.75 dependent: assign(stats_level, 1).
% 1.53/1.75 dependent: assign(max_seconds, 10800).
% 1.53/1.75 clear(print_given).
% 1.53/1.75
% 1.53/1.75 formula_list(usable).
% 1.53/1.75 parent_of(iokaste,oedipus).
% 1.53/1.75 parent_of(iokaste,polyneikes).
% 1.53/1.75 parent_of(oedipus,polyneikes).
% 1.53/1.75 parent_of(polyneikes,thersandros).
% 1.53/1.75 patricide(oedipus).
% 1.53/1.75 -patricide(thersandros).
% 1.53/1.75 -(exists P NP (parent_of(iokaste,P)&patricide(P)&parent_of(P,NP)& -patricide(NP))).
% 1.53/1.75 end_of_list.
% 1.53/1.75
% 1.53/1.75 -------> usable clausifies to:
% 1.53/1.75
% 1.53/1.75 list(usable).
% 1.53/1.75 0 [] parent_of(iokaste,oedipus).
% 1.53/1.75 0 [] parent_of(iokaste,polyneikes).
% 1.53/1.75 0 [] parent_of(oedipus,polyneikes).
% 1.53/1.75 0 [] parent_of(polyneikes,thersandros).
% 1.53/1.75 0 [] patricide(oedipus).
% 1.53/1.75 0 [] -patricide(thersandros).
% 1.53/1.75 0 [] -parent_of(iokaste,P)| -patricide(P)| -parent_of(P,NP)|patricide(NP).
% 1.53/1.75 end_of_list.
% 1.53/1.75
% 1.53/1.75 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.53/1.75
% 1.53/1.75 This is a Horn set without equality. The strategy will
% 1.53/1.75 be hyperresolution, with satellites in sos and nuclei
% 1.53/1.75 in usable.
% 1.53/1.75
% 1.53/1.75 dependent: set(hyper_res).
% 1.53/1.75 dependent: clear(order_hyper).
% 1.53/1.75
% 1.53/1.75 ------------> process usable:
% 1.53/1.75 ** KEPT (pick-wt=2): 1 [] -patricide(thersandros).
% 1.53/1.75 ** KEPT (pick-wt=10): 2 [] -parent_of(iokaste,A)| -patricide(A)| -parent_of(A,B)|patricide(B).
% 1.53/1.75
% 1.53/1.75 ------------> process sos:
% 1.53/1.75 ** KEPT (pick-wt=3): 3 [] parent_of(iokaste,oedipus).
% 1.53/1.75 ** KEPT (pick-wt=3): 4 [] parent_of(iokaste,polyneikes).
% 1.53/1.75 ** KEPT (pick-wt=3): 5 [] parent_of(oedipus,polyneikes).
% 1.53/1.75 ** KEPT (pick-wt=3): 6 [] parent_of(polyneikes,thersandros).
% 1.53/1.75 ** KEPT (pick-wt=2): 7 [] patricide(oedipus).
% 1.53/1.75
% 1.53/1.75 ======= end of input processing =======
% 1.53/1.75
% 1.53/1.75 =========== start of search ===========
% 1.53/1.75
% 1.53/1.75 -------- PROOF --------
% 1.53/1.75
% 1.53/1.75 ----> UNIT CONFLICT at 0.00 sec ----> 10 [binary,9.1,1.1] $F.
% 1.53/1.75
% 1.53/1.75 Length of proof is 2. Level of proof is 2.
% 1.53/1.75
% 1.53/1.75 ---------------- PROOF ----------------
% 1.53/1.75 % SZS status Theorem
% 1.53/1.75 % SZS output start Refutation
% See solution above
% 1.53/1.75 ------------ end of proof -------------
% 1.53/1.75
% 1.53/1.75
% 1.53/1.75 Search stopped by max_proofs option.
% 1.53/1.75
% 1.53/1.75
% 1.53/1.75 Search stopped by max_proofs option.
% 1.53/1.75
% 1.53/1.75 ============ end of search ============
% 1.53/1.75
% 1.53/1.75 -------------- statistics -------------
% 1.53/1.75 clauses given 6
% 1.53/1.75 clauses generated 2
% 1.53/1.75 clauses kept 9
% 1.53/1.75 clauses forward subsumed 0
% 1.53/1.75 clauses back subsumed 0
% 1.53/1.75 Kbytes malloced 976
% 1.53/1.75
% 1.53/1.75 ----------- times (seconds) -----------
% 1.53/1.75 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.53/1.75 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.53/1.75 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.53/1.75
% 1.53/1.75 That finishes the proof of the theorem.
% 1.53/1.75
% 1.53/1.75 Process 4071 finished Wed Jul 27 02:02:08 2022
% 1.53/1.75 Otter interrupted
% 1.53/1.75 PROOF FOUND
%------------------------------------------------------------------------------