%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PLA017-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n015.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 13:10:46 EDT 2022
% Result : Unsatisfiable 2.00s 2.17s
% Output : Refutation 2.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 15 ( 11 unt; 0 nHn; 15 RR)
% Number of literals : 23 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( holds(holding(A),do(pickup(A),B))
| ~ holds(empty,B)
| ~ holds(clear(A),B)
| ~ differ(A,table) ),
file('PLA017-1.p',unknown),
[] ).
cnf(5,axiom,
( holds(clear(A),do(pickup(B),C))
| ~ holds(clear(A),C)
| ~ differ(A,B) ),
file('PLA017-1.p',unknown),
[] ).
cnf(7,axiom,
( holds(on(A,B),do(putdown(A,B),C))
| ~ holds(holding(A),C)
| ~ holds(clear(B),C) ),
file('PLA017-1.p',unknown),
[] ).
cnf(11,axiom,
( differ(A,B)
| ~ differ(B,A) ),
file('PLA017-1.p',unknown),
[] ).
cnf(12,axiom,
~ holds(on(a,c),A),
file('PLA017-1.p',unknown),
[] ).
cnf(14,axiom,
differ(a,c),
file('PLA017-1.p',unknown),
[] ).
cnf(16,axiom,
differ(a,table),
file('PLA017-1.p',unknown),
[] ).
cnf(27,axiom,
holds(clear(a),s0),
file('PLA017-1.p',unknown),
[] ).
cnf(29,axiom,
holds(clear(c),s0),
file('PLA017-1.p',unknown),
[] ).
cnf(30,axiom,
holds(empty,s0),
file('PLA017-1.p',unknown),
[] ).
cnf(33,plain,
differ(c,a),
inference(hyper,[status(thm)],[14,11]),
[iquote('hyper,14,11')] ).
cnf(81,plain,
holds(holding(a),do(pickup(a),s0)),
inference(hyper,[status(thm)],[27,2,30,16]),
[iquote('hyper,27,2,30,16')] ).
cnf(134,plain,
holds(clear(c),do(pickup(a),s0)),
inference(hyper,[status(thm)],[29,5,33]),
[iquote('hyper,29,5,33')] ).
cnf(1270,plain,
holds(on(a,c),do(putdown(a,c),do(pickup(a),s0))),
inference(hyper,[status(thm)],[134,7,81]),
[iquote('hyper,134,7,81')] ).
cnf(1271,plain,
$false,
inference(binary,[status(thm)],[1270,12]),
[iquote('binary,1270.1,12.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PLA017-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n015.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 02:38:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.00/2.16 ----- Otter 3.3f, August 2004 -----
% 2.00/2.16 The process was started by sandbox on n015.cluster.edu,
% 2.00/2.16 Wed Jul 27 02:38:11 2022
% 2.00/2.16 The command was "./otter". The process ID is 12157.
% 2.00/2.16
% 2.00/2.16 set(prolog_style_variables).
% 2.00/2.16 set(auto).
% 2.00/2.16 dependent: set(auto1).
% 2.00/2.16 dependent: set(process_input).
% 2.00/2.16 dependent: clear(print_kept).
% 2.00/2.16 dependent: clear(print_new_demod).
% 2.00/2.16 dependent: clear(print_back_demod).
% 2.00/2.16 dependent: clear(print_back_sub).
% 2.00/2.16 dependent: set(control_memory).
% 2.00/2.16 dependent: assign(max_mem, 12000).
% 2.00/2.16 dependent: assign(pick_given_ratio, 4).
% 2.00/2.16 dependent: assign(stats_level, 1).
% 2.00/2.16 dependent: assign(max_seconds, 10800).
% 2.00/2.16 clear(print_given).
% 2.00/2.16
% 2.00/2.16 list(usable).
% 2.00/2.16 0 [] holds(and(X,Y),State)| -holds(X,State)| -holds(Y,State).
% 2.00/2.16 0 [] holds(holding(X),do(pickup(X),State))| -holds(empty,State)| -holds(clear(X),State)| -differ(X,table).
% 2.00/2.16 0 [] holds(clear(Y),do(pickup(X),State))| -holds(on(X,Y),State)| -holds(clear(X),State)| -holds(empty,State).
% 2.00/2.16 0 [] holds(on(X,Y),do(pickup(Z),State))| -holds(on(X,Y),State)| -differ(X,Z).
% 2.00/2.16 0 [] holds(clear(X),do(pickup(Z),State))| -holds(clear(X),State)| -differ(X,Z).
% 2.00/2.16 0 [] holds(empty,do(putdown(X,Y),State))| -holds(holding(X),State)| -holds(clear(Y),State).
% 2.00/2.16 0 [] holds(on(X,Y),do(putdown(X,Y),State))| -holds(holding(X),State)| -holds(clear(Y),State).
% 2.00/2.16 0 [] holds(clear(X),do(putdown(X,Y),State))| -holds(holding(X),State)| -holds(clear(Y),State).
% 2.00/2.16 0 [] holds(on(X,Y),do(putdown(Z,W),State))| -holds(on(X,Y),State).
% 2.00/2.16 0 [] holds(clear(Z),do(putdown(X,Y),State))| -holds(clear(Z),State)| -differ(Z,Y).
% 2.00/2.16 0 [] differ(X,Y)| -differ(Y,X).
% 2.00/2.16 0 [] differ(a,b).
% 2.00/2.16 0 [] differ(a,c).
% 2.00/2.16 0 [] differ(a,d).
% 2.00/2.16 0 [] differ(a,table).
% 2.00/2.16 0 [] differ(b,c).
% 2.00/2.16 0 [] differ(b,d).
% 2.00/2.16 0 [] differ(b,table).
% 2.00/2.16 0 [] differ(c,d).
% 2.00/2.16 0 [] differ(c,table).
% 2.00/2.16 0 [] differ(d,table).
% 2.00/2.16 0 [] holds(on(a,table),s0).
% 2.00/2.16 0 [] holds(on(b,table),s0).
% 2.00/2.16 0 [] holds(on(c,d),s0).
% 2.00/2.16 0 [] holds(on(d,table),s0).
% 2.00/2.16 0 [] holds(clear(a),s0).
% 2.00/2.16 0 [] holds(clear(b),s0).
% 2.00/2.16 0 [] holds(clear(c),s0).
% 2.00/2.16 0 [] holds(empty,s0).
% 2.00/2.16 0 [] holds(clear(table),State).
% 2.00/2.16 0 [] -holds(on(a,c),State).
% 2.00/2.16 end_of_list.
% 2.00/2.16
% 2.00/2.16 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 2.00/2.16
% 2.00/2.16 This is a Horn set without equality. The strategy will
% 2.00/2.16 be hyperresolution, with satellites in sos and nuclei
% 2.00/2.16 in usable.
% 2.00/2.16
% 2.00/2.16 dependent: set(hyper_res).
% 2.00/2.16 dependent: clear(order_hyper).
% 2.00/2.16
% 2.00/2.16 ------------> process usable:
% 2.00/2.16 ** KEPT (pick-wt=11): 1 [] holds(and(A,B),C)| -holds(A,C)| -holds(B,C).
% 2.00/2.16 ** KEPT (pick-wt=17): 2 [] holds(holding(A),do(pickup(A),B))| -holds(empty,B)| -holds(clear(A),B)| -differ(A,table).
% 2.00/2.16 ** KEPT (pick-wt=19): 3 [] holds(clear(A),do(pickup(B),C))| -holds(on(B,A),C)| -holds(clear(B),C)| -holds(empty,C).
% 2.00/2.16 ** KEPT (pick-wt=16): 4 [] holds(on(A,B),do(pickup(C),D))| -holds(on(A,B),D)| -differ(A,C).
% 2.00/2.16 ** KEPT (pick-wt=14): 5 [] holds(clear(A),do(pickup(B),C))| -holds(clear(A),C)| -differ(A,B).
% 2.00/2.16 ** KEPT (pick-wt=15): 6 [] holds(empty,do(putdown(A,B),C))| -holds(holding(A),C)| -holds(clear(B),C).
% 2.00/2.16 ** KEPT (pick-wt=17): 7 [] holds(on(A,B),do(putdown(A,B),C))| -holds(holding(A),C)| -holds(clear(B),C).
% 2.00/2.16 ** KEPT (pick-wt=16): 8 [] holds(clear(A),do(putdown(A,B),C))| -holds(holding(A),C)| -holds(clear(B),C).
% 2.00/2.16 ** KEPT (pick-wt=14): 9 [] holds(on(A,B),do(putdown(C,D),E))| -holds(on(A,B),E).
% 2.00/2.16 ** KEPT (pick-wt=15): 10 [] holds(clear(A),do(putdown(B,C),D))| -holds(clear(A),D)| -differ(A,C).
% 2.00/2.16 ** KEPT (pick-wt=6): 11 [] differ(A,B)| -differ(B,A).
% 2.00/2.16 ** KEPT (pick-wt=5): 12 [] -holds(on(a,c),A).
% 2.00/2.16
% 2.00/2.16 ------------> process sos:
% 2.00/2.16 ** KEPT (pick-wt=3): 13 [] differ(a,b).
% 2.00/2.16 ** KEPT (pick-wt=3): 14 [] differ(a,c).
% 2.00/2.16 ** KEPT (pick-wt=3): 15 [] differ(a,d).
% 2.00/2.16 ** KEPT (pick-wt=3): 16 [] differ(a,table).
% 2.00/2.16 ** KEPT (pick-wt=3): 17 [] differ(b,c).
% 2.00/2.16 ** KEPT (pick-wt=3): 18 [] differ(b,d).
% 2.00/2.16 ** KEPT (pick-wt=3): 19 [] differ(b,table).
% 2.00/2.16 ** KEPT (pick-wt=3): 20 [] differ(c,d).
% 2.00/2.16 ** KEPT (pick-wt=3): 21 [] differ(c,table).
% 2.00/2.16 ** KEPT (pick-wt=3): 22 [] differ(d,table).
% 2.00/2.16 ** KEPT (pick-wt=5): 23 [] holds(on(a,table),s0).
% 2.00/2.16 ** KEPT (pick-wt=5): 24 [] holds(on(b,table),s0).
% 2.00/2.16 ** KEPT (pick-wt=5): 25 [] holds(on(c,d),s0).
% 2.00/2.16 ** KEPT (pick-wt=5): 26 [] holds(on(d,table),s0).
% 2.00/2.16 ** KEPT (pick-wt=4): 27 [] holds(clear(a),s0).
% 2.00/2.16 ** KEPT (pick-wt=4): 28 [] holds(clear(b),s0).
% 2.00/2.17 ** KEPT (pick-wt=4): 29 [] holds(clear(c),s0).
% 2.00/2.17 ** KEPT (pick-wt=3): 30 [] holds(empty,s0).
% 2.00/2.17 ** KEPT (pick-wt=4): 31 [] holds(clear(table),A).
% 2.00/2.17
% 2.00/2.17 ======= end of input processing =======
% 2.00/2.17
% 2.00/2.17 =========== start of search ===========
% 2.00/2.17
% 2.00/2.17 -------- PROOF --------
% 2.00/2.17
% 2.00/2.17 ----> UNIT CONFLICT at 0.02 sec ----> 1271 [binary,1270.1,12.1] $F.
% 2.00/2.17
% 2.00/2.17 Length of proof is 4. Level of proof is 3.
% 2.00/2.17
% 2.00/2.17 ---------------- PROOF ----------------
% 2.00/2.17 % SZS status Unsatisfiable
% 2.00/2.17 % SZS output start Refutation
% See solution above
% 2.00/2.17 ------------ end of proof -------------
% 2.00/2.17
% 2.00/2.17
% 2.00/2.17 Search stopped by max_proofs option.
% 2.00/2.17
% 2.00/2.17
% 2.00/2.17 Search stopped by max_proofs option.
% 2.00/2.17
% 2.00/2.17 ============ end of search ============
% 2.00/2.17
% 2.00/2.17 -------------- statistics -------------
% 2.00/2.17 clauses given 70
% 2.00/2.17 clauses generated 1308
% 2.00/2.17 clauses kept 1270
% 2.00/2.17 clauses forward subsumed 69
% 2.00/2.17 clauses back subsumed 0
% 2.00/2.17 Kbytes malloced 976
% 2.00/2.17
% 2.00/2.17 ----------- times (seconds) -----------
% 2.00/2.17 user CPU time 0.02 (0 hr, 0 min, 0 sec)
% 2.00/2.17 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.00/2.17 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.00/2.17
% 2.00/2.17 That finishes the proof of the theorem.
% 2.00/2.17
% 2.00/2.17 Process 12157 finished Wed Jul 27 02:38:13 2022
% 2.00/2.17 Otter interrupted
% 2.00/2.17 PROOF FOUND
%------------------------------------------------------------------------------