%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ012-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n016.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 13:11:02 EDT 2022
% Result : Unsatisfiable 1.69s 1.89s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 15 ( 9 unt; 3 nHn; 14 RR)
% Number of literals : 23 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ label(A,B)
| ~ contains(A,B) ),
file('PUZ012-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ contains(A,B)
| ~ contains(A,C)
| e_qual_fruits(B,C) ),
file('PUZ012-1.p',unknown),
[] ).
cnf(7,axiom,
~ e_qual_fruits(apples,bananas),
file('PUZ012-1.p',unknown),
[] ).
cnf(8,axiom,
~ e_qual_fruits(bananas,oranges),
file('PUZ012-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ contains(boxa,bananas)
| ~ contains(boxc,oranges) ),
file('PUZ012-1.p',unknown),
[] ).
cnf(15,axiom,
( contains(boxa,A)
| contains(boxb,A)
| contains(boxc,A) ),
file('PUZ012-1.p',unknown),
[] ).
cnf(18,axiom,
label(boxb,oranges),
file('PUZ012-1.p',unknown),
[] ).
cnf(19,axiom,
label(boxc,bananas),
file('PUZ012-1.p',unknown),
[] ).
cnf(20,axiom,
contains(boxb,apples),
file('PUZ012-1.p',unknown),
[] ).
cnf(24,plain,
( contains(boxa,oranges)
| contains(boxc,oranges) ),
inference(hyper,[status(thm)],[15,1,18]),
[iquote('hyper,15,1,18')] ).
cnf(26,plain,
( contains(boxa,bananas)
| contains(boxb,bananas) ),
inference(hyper,[status(thm)],[15,1,19]),
[iquote('hyper,15,1,19')] ).
cnf(39,plain,
contains(boxa,bananas),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[26,2,20]),7]),
[iquote('hyper,26,2,20,unit_del,7')] ).
cnf(40,plain,
contains(boxa,oranges),
inference(hyper,[status(thm)],[39,10,24]),
[iquote('hyper,39,10,24')] ).
cnf(55,plain,
e_qual_fruits(bananas,oranges),
inference(hyper,[status(thm)],[40,2,39]),
[iquote('hyper,40,2,39')] ).
cnf(56,plain,
$false,
inference(binary,[status(thm)],[55,8]),
[iquote('binary,55.1,8.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ012-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n016.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 02:08:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.69/1.89 ----- Otter 3.3f, August 2004 -----
% 1.69/1.89 The process was started by sandbox2 on n016.cluster.edu,
% 1.69/1.89 Wed Jul 27 02:08:37 2022
% 1.69/1.89 The command was "./otter". The process ID is 15194.
% 1.69/1.89
% 1.69/1.89 set(prolog_style_variables).
% 1.69/1.89 set(auto).
% 1.69/1.89 dependent: set(auto1).
% 1.69/1.89 dependent: set(process_input).
% 1.69/1.89 dependent: clear(print_kept).
% 1.69/1.89 dependent: clear(print_new_demod).
% 1.69/1.89 dependent: clear(print_back_demod).
% 1.69/1.89 dependent: clear(print_back_sub).
% 1.69/1.89 dependent: set(control_memory).
% 1.69/1.89 dependent: assign(max_mem, 12000).
% 1.69/1.89 dependent: assign(pick_given_ratio, 4).
% 1.69/1.89 dependent: assign(stats_level, 1).
% 1.69/1.89 dependent: assign(max_seconds, 10800).
% 1.69/1.89 clear(print_given).
% 1.69/1.89
% 1.69/1.89 list(usable).
% 1.69/1.89 0 [] e_qual_fruits(X,X).
% 1.69/1.89 0 [] e_qual_boxes(X,X).
% 1.69/1.89 0 [] -label(X,Y)| -contains(X,Y).
% 1.69/1.89 0 [] contains(boxa,X)|contains(boxb,X)|contains(boxc,X).
% 1.69/1.89 0 [] contains(X,apples)|contains(X,bananas)|contains(X,oranges).
% 1.69/1.89 0 [] -contains(X,Y)| -contains(X,Z)|e_qual_fruits(Y,Z).
% 1.69/1.89 0 [] -contains(X,Y)| -contains(Z,Y)|e_qual_boxes(X,Z).
% 1.69/1.89 0 [] -e_qual_boxes(boxa,boxb).
% 1.69/1.89 0 [] -e_qual_boxes(boxb,boxc).
% 1.69/1.89 0 [] -e_qual_boxes(boxa,boxc).
% 1.69/1.89 0 [] -e_qual_fruits(apples,bananas).
% 1.69/1.89 0 [] -e_qual_fruits(bananas,oranges).
% 1.69/1.89 0 [] -e_qual_fruits(apples,oranges).
% 1.69/1.89 0 [] label(boxa,apples).
% 1.69/1.89 0 [] label(boxb,oranges).
% 1.69/1.89 0 [] label(boxc,bananas).
% 1.69/1.89 0 [] contains(boxb,apples).
% 1.69/1.89 0 [] -contains(boxa,bananas)| -contains(boxc,oranges).
% 1.69/1.89 end_of_list.
% 1.69/1.89
% 1.69/1.89 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.69/1.89
% 1.69/1.89 This is a non-Horn set without equality. The strategy will
% 1.69/1.89 be ordered hyper_res, unit deletion, and factoring, with
% 1.69/1.89 satellites in sos and with nuclei in usable.
% 1.69/1.89
% 1.69/1.89 dependent: set(hyper_res).
% 1.69/1.89 dependent: set(factor).
% 1.69/1.89 dependent: set(unit_deletion).
% 1.69/1.89
% 1.69/1.89 ------------> process usable:
% 1.69/1.89 ** KEPT (pick-wt=6): 1 [] -label(A,B)| -contains(A,B).
% 1.69/1.89 ** KEPT (pick-wt=9): 2 [] -contains(A,B)| -contains(A,C)|e_qual_fruits(B,C).
% 1.69/1.89 ** KEPT (pick-wt=9): 3 [] -contains(A,B)| -contains(C,B)|e_qual_boxes(A,C).
% 1.69/1.89 ** KEPT (pick-wt=3): 4 [] -e_qual_boxes(boxa,boxb).
% 1.69/1.89 ** KEPT (pick-wt=3): 5 [] -e_qual_boxes(boxb,boxc).
% 1.69/1.89 ** KEPT (pick-wt=3): 6 [] -e_qual_boxes(boxa,boxc).
% 1.69/1.89 ** KEPT (pick-wt=3): 7 [] -e_qual_fruits(apples,bananas).
% 1.69/1.89 ** KEPT (pick-wt=3): 8 [] -e_qual_fruits(bananas,oranges).
% 1.69/1.89 ** KEPT (pick-wt=3): 9 [] -e_qual_fruits(apples,oranges).
% 1.69/1.89 ** KEPT (pick-wt=6): 10 [] -contains(boxa,bananas)| -contains(boxc,oranges).
% 1.69/1.89
% 1.69/1.89 ------------> process sos:
% 1.69/1.89 ** KEPT (pick-wt=3): 13 [] e_qual_fruits(A,A).
% 1.69/1.89 ** KEPT (pick-wt=3): 14 [] e_qual_boxes(A,A).
% 1.69/1.89 ** KEPT (pick-wt=9): 15 [] contains(boxa,A)|contains(boxb,A)|contains(boxc,A).
% 1.69/1.89 ** KEPT (pick-wt=9): 16 [] contains(A,apples)|contains(A,bananas)|contains(A,oranges).
% 1.69/1.89 ** KEPT (pick-wt=3): 17 [] label(boxa,apples).
% 1.69/1.89 ** KEPT (pick-wt=3): 18 [] label(boxb,oranges).
% 1.69/1.89 ** KEPT (pick-wt=3): 19 [] label(boxc,bananas).
% 1.69/1.89 ** KEPT (pick-wt=3): 20 [] contains(boxb,apples).
% 1.69/1.89 13 back subsumes 11.
% 1.69/1.89 14 back subsumes 12.
% 1.69/1.89
% 1.69/1.89 ======= end of input processing =======
% 1.69/1.89
% 1.69/1.89 =========== start of search ===========
% 1.69/1.89
% 1.69/1.89 -------- PROOF --------
% 1.69/1.89
% 1.69/1.89 ----> UNIT CONFLICT at 0.00 sec ----> 56 [binary,55.1,8.1] $F.
% 1.69/1.89
% 1.69/1.89 Length of proof is 5. Level of proof is 4.
% 1.69/1.89
% 1.69/1.89 ---------------- PROOF ----------------
% 1.69/1.89 % SZS status Unsatisfiable
% 1.69/1.89 % SZS output start Refutation
% See solution above
% 1.69/1.89 ------------ end of proof -------------
% 1.69/1.89
% 1.69/1.89
% 1.69/1.89 Search stopped by max_proofs option.
% 1.69/1.89
% 1.69/1.89
% 1.69/1.89 Search stopped by max_proofs option.
% 1.69/1.89
% 1.69/1.89 ============ end of search ============
% 1.69/1.89
% 1.69/1.89 -------------- statistics -------------
% 1.69/1.89 clauses given 12
% 1.69/1.89 clauses generated 236
% 1.69/1.89 clauses kept 55
% 1.69/1.89 clauses forward subsumed 199
% 1.69/1.89 clauses back subsumed 16
% 1.69/1.89 Kbytes malloced 976
% 1.69/1.89
% 1.69/1.89 ----------- times (seconds) -----------
% 1.69/1.89 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.69/1.89 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.69/1.89 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.69/1.89
% 1.69/1.89 That finishes the proof of the theorem.
% 1.69/1.89
% 1.69/1.89 Process 15194 finished Wed Jul 27 02:08:38 2022
% 1.69/1.89 Otter interrupted
% 1.69/1.89 PROOF FOUND
%------------------------------------------------------------------------------