TSTP Solution File: NUM024-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM024-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n004.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 13:07:28 EDT 2022
% Result : Unsatisfiable 1.74s 1.94s
% Output : Refutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 10 RR)
% Number of literals : 19 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ less(A,B)
| e_qualish(add(successor(predecessor_of_1st_minus_2nd(B,A)),A),B) ),
file('NUM024-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ e_qualish(A,B)
| e_qualish(B,A) ),
file('NUM024-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ e_qualish(A,B)
| ~ e_qualish(B,C)
| e_qualish(A,C) ),
file('NUM024-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ e_qualish(add(A,B),add(C,B))
| e_qualish(A,C) ),
file('NUM024-1.p',unknown),
[] ).
cnf(9,axiom,
~ e_qualish(successor(A),n0),
file('NUM024-1.p',unknown),
[] ).
cnf(10,axiom,
e_qualish(add(A,n0),A),
file('NUM024-1.p',unknown),
[] ).
cnf(15,axiom,
e_qualish(add(A,B),add(B,A)),
file('NUM024-1.p',unknown),
[] ).
cnf(16,axiom,
less(a,a),
file('NUM024-1.p',unknown),
[] ).
cnf(18,plain,
e_qualish(A,add(A,n0)),
inference(hyper,[status(thm)],[10,6]),
[iquote('hyper,10,6')] ).
cnf(22,plain,
e_qualish(add(successor(predecessor_of_1st_minus_2nd(a,a)),a),a),
inference(hyper,[status(thm)],[16,5]),
[iquote('hyper,16,5')] ).
cnf(43,plain,
e_qualish(A,add(n0,A)),
inference(hyper,[status(thm)],[15,7,18]),
[iquote('hyper,15,7,18')] ).
cnf(125,plain,
e_qualish(add(successor(predecessor_of_1st_minus_2nd(a,a)),a),add(n0,a)),
inference(hyper,[status(thm)],[22,7,43]),
[iquote('hyper,22,7,43')] ).
cnf(1391,plain,
e_qualish(successor(predecessor_of_1st_minus_2nd(a,a)),n0),
inference(hyper,[status(thm)],[125,8]),
[iquote('hyper,125,8')] ).
cnf(1392,plain,
$false,
inference(binary,[status(thm)],[1391,9]),
[iquote('binary,1391.1,9.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM024-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n004.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 09:39:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.74/1.94 ----- Otter 3.3f, August 2004 -----
% 1.74/1.94 The process was started by sandbox2 on n004.cluster.edu,
% 1.74/1.94 Wed Jul 27 09:39:51 2022
% 1.74/1.94 The command was "./otter". The process ID is 9298.
% 1.74/1.94
% 1.74/1.94 set(prolog_style_variables).
% 1.74/1.94 set(auto).
% 1.74/1.94 dependent: set(auto1).
% 1.74/1.94 dependent: set(process_input).
% 1.74/1.94 dependent: clear(print_kept).
% 1.74/1.94 dependent: clear(print_new_demod).
% 1.74/1.94 dependent: clear(print_back_demod).
% 1.74/1.94 dependent: clear(print_back_sub).
% 1.74/1.94 dependent: set(control_memory).
% 1.74/1.94 dependent: assign(max_mem, 12000).
% 1.74/1.94 dependent: assign(pick_given_ratio, 4).
% 1.74/1.94 dependent: assign(stats_level, 1).
% 1.74/1.94 dependent: assign(max_seconds, 10800).
% 1.74/1.94 clear(print_given).
% 1.74/1.94
% 1.74/1.94 list(usable).
% 1.74/1.94 0 [] e_qualish(add(A,n0),A).
% 1.74/1.94 0 [] e_qualish(add(A,successor(B)),successor(add(A,B))).
% 1.74/1.94 0 [] e_qualish(multiply(A,n0),n0).
% 1.74/1.94 0 [] e_qualish(multiply(A,successor(B)),add(multiply(A,B),A)).
% 1.74/1.94 0 [] -e_qualish(successor(A),successor(B))|e_qualish(A,B).
% 1.74/1.94 0 [] -e_qualish(A,B)|e_qualish(successor(A),successor(B)).
% 1.74/1.94 0 [] -less(A,B)| -less(C,A)|less(C,B).
% 1.74/1.94 0 [] -e_qualish(add(successor(A),B),C)|less(B,C).
% 1.74/1.94 0 [] -less(A,B)|e_qualish(add(successor(predecessor_of_1st_minus_2nd(B,A)),A),B).
% 1.74/1.94 0 [] e_qualish(X,X).
% 1.74/1.94 0 [] -e_qualish(X,Y)|e_qualish(Y,X).
% 1.74/1.94 0 [] -e_qualish(X,Y)| -e_qualish(Y,Z)|e_qualish(X,Z).
% 1.74/1.94 0 [] -e_qualish(add(A,B),add(C,B))|e_qualish(A,C).
% 1.74/1.94 0 [] e_qualish(add(A,B),add(B,A)).
% 1.74/1.94 0 [] less(a,a).
% 1.74/1.94 0 [] -e_qualish(successor(A),n0).
% 1.74/1.94 end_of_list.
% 1.74/1.94
% 1.74/1.94 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.74/1.94
% 1.74/1.94 This is a Horn set without equality. The strategy will
% 1.74/1.94 be hyperresolution, with satellites in sos and nuclei
% 1.74/1.94 in usable.
% 1.74/1.94
% 1.74/1.94 dependent: set(hyper_res).
% 1.74/1.94 dependent: clear(order_hyper).
% 1.74/1.94
% 1.74/1.94 ------------> process usable:
% 1.74/1.94 ** KEPT (pick-wt=8): 1 [] -e_qualish(successor(A),successor(B))|e_qualish(A,B).
% 1.74/1.94 ** KEPT (pick-wt=8): 2 [] -e_qualish(A,B)|e_qualish(successor(A),successor(B)).
% 1.74/1.94 ** KEPT (pick-wt=9): 3 [] -less(A,B)| -less(C,A)|less(C,B).
% 1.74/1.94 ** KEPT (pick-wt=9): 4 [] -e_qualish(add(successor(A),B),C)|less(B,C).
% 1.74/1.94 ** KEPT (pick-wt=11): 5 [] -less(A,B)|e_qualish(add(successor(predecessor_of_1st_minus_2nd(B,A)),A),B).
% 1.74/1.94 ** KEPT (pick-wt=6): 6 [] -e_qualish(A,B)|e_qualish(B,A).
% 1.74/1.94 ** KEPT (pick-wt=9): 7 [] -e_qualish(A,B)| -e_qualish(B,C)|e_qualish(A,C).
% 1.74/1.94 ** KEPT (pick-wt=10): 8 [] -e_qualish(add(A,B),add(C,B))|e_qualish(A,C).
% 1.74/1.94 ** KEPT (pick-wt=4): 9 [] -e_qualish(successor(A),n0).
% 1.74/1.94
% 1.74/1.94 ------------> process sos:
% 1.74/1.94 ** KEPT (pick-wt=5): 10 [] e_qualish(add(A,n0),A).
% 1.74/1.94 ** KEPT (pick-wt=9): 11 [] e_qualish(add(A,successor(B)),successor(add(A,B))).
% 1.74/1.94 ** KEPT (pick-wt=5): 12 [] e_qualish(multiply(A,n0),n0).
% 1.74/1.94 ** KEPT (pick-wt=10): 13 [] e_qualish(multiply(A,successor(B)),add(multiply(A,B),A)).
% 1.74/1.94 ** KEPT (pick-wt=3): 14 [] e_qualish(A,A).
% 1.74/1.94 ** KEPT (pick-wt=7): 15 [] e_qualish(add(A,B),add(B,A)).
% 1.74/1.94 ** KEPT (pick-wt=3): 16 [] less(a,a).
% 1.74/1.94
% 1.74/1.94 ======= end of input processing =======
% 1.74/1.94
% 1.74/1.94 =========== start of search ===========
% 1.74/1.94
% 1.74/1.94
% 1.74/1.94 Resetting weight limit to 9.
% 1.74/1.94
% 1.74/1.94
% 1.74/1.94 Resetting weight limit to 9.
% 1.74/1.94
% 1.74/1.94 sos_size=1205
% 1.74/1.94
% 1.74/1.94 -------- PROOF --------
% 1.74/1.94
% 1.74/1.94 ----> UNIT CONFLICT at 0.06 sec ----> 1392 [binary,1391.1,9.1] $F.
% 1.74/1.94
% 1.74/1.94 Length of proof is 5. Level of proof is 4.
% 1.74/1.94
% 1.74/1.94 ---------------- PROOF ----------------
% 1.74/1.94 % SZS status Unsatisfiable
% 1.74/1.94 % SZS output start Refutation
% See solution above
% 1.74/1.94 ------------ end of proof -------------
% 1.74/1.94
% 1.74/1.94
% 1.74/1.94 Search stopped by max_proofs option.
% 1.74/1.94
% 1.74/1.94
% 1.74/1.94 Search stopped by max_proofs option.
% 1.74/1.94
% 1.74/1.94 ============ end of search ============
% 1.74/1.94
% 1.74/1.94 -------------- statistics -------------
% 1.74/1.94 clauses given 221
% 1.74/1.94 clauses generated 10191
% 1.74/1.94 clauses kept 1391
% 1.74/1.94 clauses forward subsumed 1777
% 1.74/1.94 clauses back subsumed 54
% 1.74/1.94 Kbytes malloced 4882
% 1.74/1.94
% 1.74/1.94 ----------- times (seconds) -----------
% 1.74/1.94 user CPU time 0.06 (0 hr, 0 min, 0 sec)
% 1.74/1.94 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.74/1.94 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.74/1.94
% 1.74/1.94 That finishes the proof of the theorem.
% 1.74/1.94
% 1.74/1.94 Process 9298 finished Wed Jul 27 09:39:53 2022
% 1.74/1.94 Otter interrupted
% 1.74/1.94 PROOF FOUND
%------------------------------------------------------------------------------