TSTP Solution File: PUZ003-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ003-1 : TPTP v8.1.0. Released v1.0.0.
% 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 13:11:01 EDT 2022
% Result : Unsatisfiable 1.94s 2.10s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 11 unt; 0 nHn; 13 RR)
% Number of literals : 18 ( 0 equ; 6 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 : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member(A)
| ~ member(B)
| ~ shaved(A,B)
| shaved(members,A) ),
file('PUZ003-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ shaved(members,A)
| ~ member(B)
| shaved(B,A) ),
file('PUZ003-1.p',unknown),
[] ).
cnf(3,axiom,
~ shaved(petruchio,lorenzo),
file('PUZ003-1.p',unknown),
[] ).
cnf(4,axiom,
member(guido),
file('PUZ003-1.p',unknown),
[] ).
cnf(5,axiom,
member(lorenzo),
file('PUZ003-1.p',unknown),
[] ).
cnf(6,axiom,
member(petruchio),
file('PUZ003-1.p',unknown),
[] ).
cnf(7,axiom,
member(cesare),
file('PUZ003-1.p',unknown),
[] ).
cnf(8,axiom,
shaved(guido,cesare),
file('PUZ003-1.p',unknown),
[] ).
cnf(9,plain,
shaved(members,guido),
inference(hyper,[status(thm)],[8,1,4,7]),
[iquote('hyper,8,1,4,7')] ).
cnf(12,plain,
shaved(lorenzo,guido),
inference(hyper,[status(thm)],[9,2,5]),
[iquote('hyper,9,2,5')] ).
cnf(16,plain,
shaved(members,lorenzo),
inference(hyper,[status(thm)],[12,1,5,4]),
[iquote('hyper,12,1,5,4')] ).
cnf(25,plain,
shaved(petruchio,lorenzo),
inference(hyper,[status(thm)],[16,2,6]),
[iquote('hyper,16,2,6')] ).
cnf(26,plain,
$false,
inference(binary,[status(thm)],[25,3]),
[iquote('binary,25.1,3.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Jul 27 01:58:41 EDT 2022
% 0.20/0.34 % CPUTime :
% 1.94/2.10 ----- Otter 3.3f, August 2004 -----
% 1.94/2.10 The process was started by sandbox2 on n015.cluster.edu,
% 1.94/2.10 Wed Jul 27 01:58:41 2022
% 1.94/2.10 The command was "./otter". The process ID is 27754.
% 1.94/2.10
% 1.94/2.10 set(prolog_style_variables).
% 1.94/2.10 set(auto).
% 1.94/2.10 dependent: set(auto1).
% 1.94/2.10 dependent: set(process_input).
% 1.94/2.10 dependent: clear(print_kept).
% 1.94/2.10 dependent: clear(print_new_demod).
% 1.94/2.10 dependent: clear(print_back_demod).
% 1.94/2.10 dependent: clear(print_back_sub).
% 1.94/2.10 dependent: set(control_memory).
% 1.94/2.10 dependent: assign(max_mem, 12000).
% 1.94/2.10 dependent: assign(pick_given_ratio, 4).
% 1.94/2.10 dependent: assign(stats_level, 1).
% 1.94/2.10 dependent: assign(max_seconds, 10800).
% 1.94/2.10 clear(print_given).
% 1.94/2.10
% 1.94/2.10 list(usable).
% 1.94/2.10 0 [] -member(X)| -member(Y)| -shaved(X,Y)|shaved(members,X).
% 1.94/2.10 0 [] -shaved(members,X)| -member(Y)|shaved(Y,X).
% 1.94/2.10 0 [] member(guido).
% 1.94/2.10 0 [] member(lorenzo).
% 1.94/2.10 0 [] member(petruchio).
% 1.94/2.10 0 [] member(cesare).
% 1.94/2.10 0 [] shaved(guido,cesare).
% 1.94/2.10 0 [] -shaved(petruchio,lorenzo).
% 1.94/2.10 end_of_list.
% 1.94/2.10
% 1.94/2.10 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.94/2.10
% 1.94/2.10 This is a Horn set without equality. The strategy will
% 1.94/2.10 be hyperresolution, with satellites in sos and nuclei
% 1.94/2.10 in usable.
% 1.94/2.10
% 1.94/2.10 dependent: set(hyper_res).
% 1.94/2.10 dependent: clear(order_hyper).
% 1.94/2.10
% 1.94/2.10 ------------> process usable:
% 1.94/2.10 ** KEPT (pick-wt=10): 1 [] -member(A)| -member(B)| -shaved(A,B)|shaved(members,A).
% 1.94/2.10 ** KEPT (pick-wt=8): 2 [] -shaved(members,A)| -member(B)|shaved(B,A).
% 1.94/2.10 ** KEPT (pick-wt=3): 3 [] -shaved(petruchio,lorenzo).
% 1.94/2.10
% 1.94/2.10 ------------> process sos:
% 1.94/2.10 ** KEPT (pick-wt=2): 4 [] member(guido).
% 1.94/2.10 ** KEPT (pick-wt=2): 5 [] member(lorenzo).
% 1.94/2.10 ** KEPT (pick-wt=2): 6 [] member(petruchio).
% 1.94/2.10 ** KEPT (pick-wt=2): 7 [] member(cesare).
% 1.94/2.10 ** KEPT (pick-wt=3): 8 [] shaved(guido,cesare).
% 1.94/2.10
% 1.94/2.10 ======= end of input processing =======
% 1.94/2.10
% 1.94/2.10 =========== start of search ===========
% 1.94/2.10
% 1.94/2.10 -------- PROOF --------
% 1.94/2.10
% 1.94/2.10 ----> UNIT CONFLICT at 0.00 sec ----> 26 [binary,25.1,3.1] $F.
% 1.94/2.10
% 1.94/2.10 Length of proof is 4. Level of proof is 4.
% 1.94/2.10
% 1.94/2.10 ---------------- PROOF ----------------
% 1.94/2.10 % SZS status Unsatisfiable
% 1.94/2.10 % SZS output start Refutation
% See solution above
% 1.94/2.10 ------------ end of proof -------------
% 1.94/2.10
% 1.94/2.10
% 1.94/2.10 Search stopped by max_proofs option.
% 1.94/2.10
% 1.94/2.10
% 1.94/2.10 Search stopped by max_proofs option.
% 1.94/2.10
% 1.94/2.10 ============ end of search ============
% 1.94/2.10
% 1.94/2.10 -------------- statistics -------------
% 1.94/2.10 clauses given 13
% 1.94/2.10 clauses generated 19
% 1.94/2.10 clauses kept 25
% 1.94/2.10 clauses forward subsumed 2
% 1.94/2.10 clauses back subsumed 0
% 1.94/2.10 Kbytes malloced 976
% 1.94/2.10
% 1.94/2.10 ----------- times (seconds) -----------
% 1.94/2.10 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.94/2.10 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.94/2.10 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.94/2.10
% 1.94/2.10 That finishes the proof of the theorem.
% 1.94/2.10
% 1.94/2.10 Process 27754 finished Wed Jul 27 01:58:43 2022
% 1.94/2.10 Otter interrupted
% 1.94/2.10 PROOF FOUND
%------------------------------------------------------------------------------