TSTP Solution File: MSC001-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : MSC001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n023.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 13:06:17 EDT 2022
% Result : Unsatisfiable 1.96s 2.17s
% Output : Refutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 23 ( 14 unt; 2 nHn; 12 RR)
% Number of literals : 36 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 45 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
~ hold(thing(A),do(let_go,B)),
file('MSC001-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ at(thing(A),B,do(go(B),C))
| at(thing(A),B,C)
| hold(thing(A),C) ),
file('MSC001-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ at(hand,A,B)
| ~ at(thing(C),A,B)
| hold(thing(taken(B)),do(pick_up,B)) ),
file('MSC001-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ hold(thing(A),B)
| ~ at(hand,C,B)
| at(thing(A),C,B) ),
file('MSC001-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ red(A)
| ~ at(A,there,B)
| answer(B) ),
file('MSC001-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ hold(thing(A),B)
| hold(thing(A),do(go(C),B)) ),
file('MSC001-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ at(hand,A,B)
| at(thing(taken(B)),A,B) ),
file('MSC001-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ at(A,B,do(let_go,C))
| at(A,B,C) ),
file('MSC001-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ at(A,here,now)
| red(A) ),
file('MSC001-1.p',unknown),
[] ).
cnf(16,axiom,
~ answer(A),
file('MSC001-1.p',unknown),
[] ).
cnf(17,axiom,
at(hand,A,do(go(A),B)),
file('MSC001-1.p',unknown),
[] ).
cnf(21,plain,
at(thing(taken(do(go(A),B))),A,do(go(A),B)),
inference(hyper,[status(thm)],[17,11]),
[iquote('hyper,17,11')] ).
cnf(51,plain,
hold(thing(taken(do(go(A),B))),do(pick_up,do(go(A),B))),
inference(hyper,[status(thm)],[21,5,17]),
[iquote('hyper,21,5,17')] ).
cnf(52,plain,
( at(thing(taken(do(go(A),B))),A,B)
| hold(thing(taken(do(go(A),B))),B) ),
inference(hyper,[status(thm)],[21,4]),
[iquote('hyper,21,4')] ).
cnf(170,plain,
hold(thing(taken(do(go(A),B))),do(go(C),do(pick_up,do(go(A),B)))),
inference(hyper,[status(thm)],[51,10]),
[iquote('hyper,51,10')] ).
cnf(185,plain,
at(thing(taken(do(go(A),do(let_go,B)))),A,do(let_go,B)),
inference(hyper,[status(thm)],[52,2]),
[iquote('hyper,52,2')] ).
cnf(306,plain,
at(thing(taken(do(go(A),do(let_go,B)))),A,B),
inference(hyper,[status(thm)],[185,14]),
[iquote('hyper,185,14')] ).
cnf(315,plain,
at(thing(taken(do(go(A),do(let_go,do(let_go,B))))),A,B),
inference(hyper,[status(thm)],[306,14]),
[iquote('hyper,306,14')] ).
cnf(325,plain,
at(thing(taken(do(go(A),do(let_go,do(let_go,do(let_go,B)))))),A,B),
inference(hyper,[status(thm)],[315,14]),
[iquote('hyper,315,14')] ).
cnf(622,plain,
at(thing(taken(do(go(A),B))),C,do(go(C),do(pick_up,do(go(A),B)))),
inference(hyper,[status(thm)],[170,6,17]),
[iquote('hyper,170,6,17')] ).
cnf(764,plain,
red(thing(taken(do(go(here),do(let_go,do(let_go,do(let_go,now))))))),
inference(hyper,[status(thm)],[325,15]),
[iquote('hyper,325,15')] ).
cnf(1842,plain,
answer(do(go(there),do(pick_up,do(go(here),do(let_go,do(let_go,do(let_go,now))))))),
inference(hyper,[status(thm)],[622,8,764]),
[iquote('hyper,622,8,764')] ).
cnf(1843,plain,
$false,
inference(binary,[status(thm)],[1842,16]),
[iquote('binary,1842.1,16.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : MSC001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n023.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 09:21:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.96/2.17 ----- Otter 3.3f, August 2004 -----
% 1.96/2.17 The process was started by sandbox on n023.cluster.edu,
% 1.96/2.17 Wed Jul 27 09:21:03 2022
% 1.96/2.17 The command was "./otter". The process ID is 4327.
% 1.96/2.17
% 1.96/2.17 set(prolog_style_variables).
% 1.96/2.17 set(auto).
% 1.96/2.17 dependent: set(auto1).
% 1.96/2.17 dependent: set(process_input).
% 1.96/2.17 dependent: clear(print_kept).
% 1.96/2.17 dependent: clear(print_new_demod).
% 1.96/2.17 dependent: clear(print_back_demod).
% 1.96/2.17 dependent: clear(print_back_sub).
% 1.96/2.17 dependent: set(control_memory).
% 1.96/2.17 dependent: assign(max_mem, 12000).
% 1.96/2.17 dependent: assign(pick_given_ratio, 4).
% 1.96/2.17 dependent: assign(stats_level, 1).
% 1.96/2.17 dependent: assign(max_seconds, 10800).
% 1.96/2.17 clear(print_given).
% 1.96/2.17
% 1.96/2.17 list(usable).
% 1.96/2.17 0 [] -at(A,there,B)| -at(A,here,B).
% 1.96/2.17 0 [] -hold(thing(A),do(let_go,B)).
% 1.96/2.17 0 [] -red(hand).
% 1.96/2.17 0 [] at(hand,A,do(go(A),B)).
% 1.96/2.17 0 [] at(thing(s),here,now).
% 1.96/2.17 0 [] -at(thing(A),B,do(go(B),C))|at(thing(A),B,C)|hold(thing(A),C).
% 1.96/2.17 0 [] -at(hand,A,B)| -at(thing(C),A,B)|hold(thing(taken(B)),do(pick_up,B)).
% 1.96/2.17 0 [] -hold(thing(A),B)| -at(hand,C,B)|at(thing(A),C,B).
% 1.96/2.17 0 [] -hold(thing(A),B)| -at(thing(A),C,B)|at(hand,C,B).
% 1.96/2.17 0 [] -red(A)| -at(A,there,B)|answer(B).
% 1.96/2.17 0 [] -at(thing(A),B,C)|at(thing(A),B,do(go(B),C)).
% 1.96/2.17 0 [] -hold(thing(A),B)|hold(thing(A),do(go(C),B)).
% 1.96/2.17 0 [] -at(hand,A,B)|at(thing(taken(B)),A,B).
% 1.96/2.17 0 [] -at(A,B,C)|at(A,B,do(pick_up,C)).
% 1.96/2.17 0 [] -at(A,B,C)|at(A,B,do(let_go,C)).
% 1.96/2.17 0 [] -at(A,B,do(let_go,C))|at(A,B,C).
% 1.96/2.17 0 [] -at(A,here,now)|red(A).
% 1.96/2.17 0 [] -answer(A).
% 1.96/2.17 end_of_list.
% 1.96/2.17
% 1.96/2.17 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.96/2.17
% 1.96/2.17 This is a non-Horn set without equality. The strategy will
% 1.96/2.17 be ordered hyper_res, unit deletion, and factoring, with
% 1.96/2.17 satellites in sos and with nuclei in usable.
% 1.96/2.17
% 1.96/2.17 dependent: set(hyper_res).
% 1.96/2.17 dependent: set(factor).
% 1.96/2.17 dependent: set(unit_deletion).
% 1.96/2.17
% 1.96/2.17 ------------> process usable:
% 1.96/2.17 ** KEPT (pick-wt=8): 1 [] -at(A,there,B)| -at(A,here,B).
% 1.96/2.17 ** KEPT (pick-wt=6): 2 [] -hold(thing(A),do(let_go,B)).
% 1.96/2.17 ** KEPT (pick-wt=2): 3 [] -red(hand).
% 1.96/2.17 ** KEPT (pick-wt=17): 4 [] -at(thing(A),B,do(go(B),C))|at(thing(A),B,C)|hold(thing(A),C).
% 1.96/2.17 ** KEPT (pick-wt=16): 5 [] -at(hand,A,B)| -at(thing(C),A,B)|hold(thing(taken(B)),do(pick_up,B)).
% 1.96/2.17 ** KEPT (pick-wt=13): 6 [] -hold(thing(A),B)| -at(hand,C,B)|at(thing(A),C,B).
% 1.96/2.17 ** KEPT (pick-wt=13): 7 [] -hold(thing(A),B)| -at(thing(A),C,B)|at(hand,C,B).
% 1.96/2.17 ** KEPT (pick-wt=8): 8 [] -red(A)| -at(A,there,B)|answer(B).
% 1.96/2.17 ** KEPT (pick-wt=13): 9 [] -at(thing(A),B,C)|at(thing(A),B,do(go(B),C)).
% 1.96/2.17 ** KEPT (pick-wt=11): 10 [] -hold(thing(A),B)|hold(thing(A),do(go(C),B)).
% 1.96/2.17 ** KEPT (pick-wt=10): 11 [] -at(hand,A,B)|at(thing(taken(B)),A,B).
% 1.96/2.17 ** KEPT (pick-wt=10): 12 [] -at(A,B,C)|at(A,B,do(pick_up,C)).
% 1.96/2.17 ** KEPT (pick-wt=10): 13 [] -at(A,B,C)|at(A,B,do(let_go,C)).
% 1.96/2.17 ** KEPT (pick-wt=10): 14 [] -at(A,B,do(let_go,C))|at(A,B,C).
% 1.96/2.17 ** KEPT (pick-wt=6): 15 [] -at(A,here,now)|red(A).
% 1.96/2.17 ** KEPT (pick-wt=2): 16 [] -answer(A).
% 1.96/2.17
% 1.96/2.17 ------------> process sos:
% 1.96/2.17 ** KEPT (pick-wt=7): 17 [] at(hand,A,do(go(A),B)).
% 1.96/2.17 ** KEPT (pick-wt=5): 18 [] at(thing(s),here,now).
% 1.96/2.17
% 1.96/2.17 ======= end of input processing =======
% 1.96/2.17
% 1.96/2.17 =========== start of search ===========
% 1.96/2.17
% 1.96/2.17 -------- PROOF --------
% 1.96/2.17
% 1.96/2.17 ----> UNIT CONFLICT at 0.06 sec ----> 1843 [binary,1842.1,16.1] $F.
% 1.96/2.17
% 1.96/2.17 Length of proof is 11. Level of proof is 8.
% 1.96/2.17
% 1.96/2.17 ---------------- PROOF ----------------
% 1.96/2.17 % SZS status Unsatisfiable
% 1.96/2.17 % SZS output start Refutation
% See solution above
% 1.96/2.17 ------------ end of proof -------------
% 1.96/2.17
% 1.96/2.17
% 1.96/2.17 Search stopped by max_proofs option.
% 1.96/2.17
% 1.96/2.17
% 1.96/2.17 Search stopped by max_proofs option.
% 1.96/2.17
% 1.96/2.17 ============ end of search ============
% 1.96/2.17
% 1.96/2.17 -------------- statistics -------------
% 1.96/2.17 clauses given 498
% 1.96/2.17 clauses generated 3093
% 1.96/2.17 clauses kept 1842
% 1.96/2.17 clauses forward subsumed 1269
% 1.96/2.17 clauses back subsumed 67
% 1.96/2.17 Kbytes malloced 1953
% 1.96/2.17
% 1.96/2.17 ----------- times (seconds) -----------
% 1.96/2.17 user CPU time 0.07 (0 hr, 0 min, 0 sec)
% 1.96/2.17 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.96/2.17 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.96/2.17
% 1.96/2.17 That finishes the proof of the theorem.
% 1.96/2.17
% 1.96/2.17 Process 4327 finished Wed Jul 27 09:21:05 2022
% 1.96/2.17 Otter interrupted
% 1.96/2.17 PROOF FOUND
%------------------------------------------------------------------------------