TSTP Solution File: LCL666+1.001 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL666+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n022.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 13:04:59 EDT 2022
% Result : Theorem 1.66s 1.87s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 4 RR)
% Number of literals : 7 ( 0 equ; 3 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 : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ r1(dollar_c1,A)
| ~ p201(A)
| ~ p101(A) ),
file('LCL666+1.001.p',unknown),
[] ).
cnf(2,axiom,
r1(A,A),
file('LCL666+1.001.p',unknown),
[] ).
cnf(3,axiom,
p201(dollar_c1),
file('LCL666+1.001.p',unknown),
[] ).
cnf(4,axiom,
p101(dollar_c1),
file('LCL666+1.001.p',unknown),
[] ).
cnf(5,plain,
$false,
inference(hyper,[status(thm)],[4,1,2,3]),
[iquote('hyper,4,1,2,3')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL666+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 09:31:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.66/1.87 ----- Otter 3.3f, August 2004 -----
% 1.66/1.87 The process was started by sandbox on n022.cluster.edu,
% 1.66/1.87 Wed Jul 27 09:31:05 2022
% 1.66/1.87 The command was "./otter". The process ID is 13814.
% 1.66/1.87
% 1.66/1.87 set(prolog_style_variables).
% 1.66/1.87 set(auto).
% 1.66/1.87 dependent: set(auto1).
% 1.66/1.87 dependent: set(process_input).
% 1.66/1.87 dependent: clear(print_kept).
% 1.66/1.87 dependent: clear(print_new_demod).
% 1.66/1.87 dependent: clear(print_back_demod).
% 1.66/1.87 dependent: clear(print_back_sub).
% 1.66/1.87 dependent: set(control_memory).
% 1.66/1.87 dependent: assign(max_mem, 12000).
% 1.66/1.87 dependent: assign(pick_given_ratio, 4).
% 1.66/1.87 dependent: assign(stats_level, 1).
% 1.66/1.87 dependent: assign(max_seconds, 10800).
% 1.66/1.87 clear(print_given).
% 1.66/1.87
% 1.66/1.87 formula_list(usable).
% 1.66/1.87 all X r1(X,X).
% 1.66/1.87 -(-(exists X (-(-(all Y (-r1(X,Y)| -(p201(Y)&p101(Y))))| -(p201(X)&p101(X)))))).
% 1.66/1.87 end_of_list.
% 1.66/1.87
% 1.66/1.87 -------> usable clausifies to:
% 1.66/1.87
% 1.66/1.87 list(usable).
% 1.66/1.87 0 [] r1(X,X).
% 1.66/1.87 0 [] -r1($c1,Y)| -p201(Y)| -p101(Y).
% 1.66/1.87 0 [] p201($c1).
% 1.66/1.87 0 [] p101($c1).
% 1.66/1.87 end_of_list.
% 1.66/1.87
% 1.66/1.87 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.66/1.87
% 1.66/1.87 This is a Horn set without equality. The strategy will
% 1.66/1.87 be hyperresolution, with satellites in sos and nuclei
% 1.66/1.87 in usable.
% 1.66/1.87
% 1.66/1.87 dependent: set(hyper_res).
% 1.66/1.87 dependent: clear(order_hyper).
% 1.66/1.87
% 1.66/1.87 ------------> process usable:
% 1.66/1.87 ** KEPT (pick-wt=7): 1 [] -r1($c1,A)| -p201(A)| -p101(A).
% 1.66/1.87
% 1.66/1.87 ------------> process sos:
% 1.66/1.87 ** KEPT (pick-wt=3): 2 [] r1(A,A).
% 1.66/1.87 ** KEPT (pick-wt=2): 3 [] p201($c1).
% 1.66/1.87 ** KEPT (pick-wt=2): 4 [] p101($c1).
% 1.66/1.87
% 1.66/1.87 ======= end of input processing =======
% 1.66/1.87
% 1.66/1.87 =========== start of search ===========
% 1.66/1.87
% 1.66/1.87 -------- PROOF --------
% 1.66/1.87
% 1.66/1.87 -----> EMPTY CLAUSE at 0.00 sec ----> 5 [hyper,4,1,2,3] $F.
% 1.66/1.87
% 1.66/1.87 Length of proof is 0. Level of proof is 0.
% 1.66/1.87
% 1.66/1.87 ---------------- PROOF ----------------
% 1.66/1.87 % SZS status Theorem
% 1.66/1.87 % SZS output start Refutation
% See solution above
% 1.66/1.87 ------------ end of proof -------------
% 1.66/1.87
% 1.66/1.87
% 1.66/1.87 Search stopped by max_proofs option.
% 1.66/1.87
% 1.66/1.87
% 1.66/1.87 Search stopped by max_proofs option.
% 1.66/1.87
% 1.66/1.87 ============ end of search ============
% 1.66/1.87
% 1.66/1.87 -------------- statistics -------------
% 1.66/1.87 clauses given 3
% 1.66/1.87 clauses generated 1
% 1.66/1.87 clauses kept 4
% 1.66/1.87 clauses forward subsumed 0
% 1.66/1.87 clauses back subsumed 0
% 1.66/1.87 Kbytes malloced 976
% 1.66/1.87
% 1.66/1.87 ----------- times (seconds) -----------
% 1.66/1.87 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.66/1.87 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.66/1.87 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.66/1.87
% 1.66/1.87 That finishes the proof of the theorem.
% 1.66/1.87
% 1.66/1.87 Process 13814 finished Wed Jul 27 09:31:07 2022
% 1.66/1.87 Otter interrupted
% 1.66/1.87 PROOF FOUND
%------------------------------------------------------------------------------