TSTP Solution File: GRP006-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n027.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 12:55:50 EDT 2022
% Result : Unsatisfiable 1.65s 1.87s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 7 unt; 0 nHn; 6 RR)
% Number of literals : 11 ( 0 equ; 4 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ an_element(A)
| ~ an_element(B)
| ~ product(A,inverse(B),C)
| an_element(C) ),
file('GRP006-1.p',unknown),
[] ).
cnf(4,axiom,
~ an_element(inverse(the_element)),
file('GRP006-1.p',unknown),
[] ).
cnf(5,axiom,
product(identity,A,A),
file('GRP006-1.p',unknown),
[] ).
cnf(7,axiom,
product(A,inverse(A),identity),
file('GRP006-1.p',unknown),
[] ).
cnf(9,axiom,
an_element(the_element),
file('GRP006-1.p',unknown),
[] ).
cnf(14,plain,
an_element(identity),
inference(hyper,[status(thm)],[7,1,9,9]),
[iquote('hyper,7,1,9,9')] ).
cnf(16,plain,
an_element(inverse(the_element)),
inference(hyper,[status(thm)],[14,1,9,5]),
[iquote('hyper,14,1,9,5')] ).
cnf(17,plain,
$false,
inference(binary,[status(thm)],[16,4]),
[iquote('binary,16.1,4.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n027.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 05:35:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.65/1.87 ----- Otter 3.3f, August 2004 -----
% 1.65/1.87 The process was started by sandbox on n027.cluster.edu,
% 1.65/1.87 Wed Jul 27 05:35:51 2022
% 1.65/1.87 The command was "./otter". The process ID is 4265.
% 1.65/1.87
% 1.65/1.87 set(prolog_style_variables).
% 1.65/1.87 set(auto).
% 1.65/1.87 dependent: set(auto1).
% 1.65/1.87 dependent: set(process_input).
% 1.65/1.87 dependent: clear(print_kept).
% 1.65/1.87 dependent: clear(print_new_demod).
% 1.65/1.87 dependent: clear(print_back_demod).
% 1.65/1.87 dependent: clear(print_back_sub).
% 1.65/1.87 dependent: set(control_memory).
% 1.65/1.87 dependent: assign(max_mem, 12000).
% 1.65/1.87 dependent: assign(pick_given_ratio, 4).
% 1.65/1.87 dependent: assign(stats_level, 1).
% 1.65/1.87 dependent: assign(max_seconds, 10800).
% 1.65/1.87 clear(print_given).
% 1.65/1.87
% 1.65/1.87 list(usable).
% 1.65/1.87 0 [] product(identity,X,X).
% 1.65/1.87 0 [] product(X,identity,X).
% 1.65/1.87 0 [] product(X,inverse(X),identity).
% 1.65/1.87 0 [] product(inverse(X),X,identity).
% 1.65/1.87 0 [] -an_element(X)| -an_element(Y)| -product(X,inverse(Y),Z)|an_element(Z).
% 1.65/1.87 0 [] -product(X,Y,U)| -product(Y,Z,V)| -product(U,Z,W)|product(X,V,W).
% 1.65/1.87 0 [] -product(X,Y,U)| -product(Y,Z,V)| -product(X,V,W)|product(U,Z,W).
% 1.65/1.87 0 [] an_element(the_element).
% 1.65/1.87 0 [] -an_element(inverse(the_element)).
% 1.65/1.87 end_of_list.
% 1.65/1.87
% 1.65/1.87 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.65/1.87
% 1.65/1.87 This is a Horn set without equality. The strategy will
% 1.65/1.87 be hyperresolution, with satellites in sos and nuclei
% 1.65/1.87 in usable.
% 1.65/1.87
% 1.65/1.87 dependent: set(hyper_res).
% 1.65/1.87 dependent: clear(order_hyper).
% 1.65/1.87
% 1.65/1.87 ------------> process usable:
% 1.65/1.87 ** KEPT (pick-wt=11): 1 [] -an_element(A)| -an_element(B)| -product(A,inverse(B),C)|an_element(C).
% 1.65/1.87 ** KEPT (pick-wt=16): 2 [] -product(A,B,C)| -product(B,D,E)| -product(C,D,F)|product(A,E,F).
% 1.65/1.87 ** KEPT (pick-wt=16): 3 [] -product(A,B,C)| -product(B,D,E)| -product(A,E,F)|product(C,D,F).
% 1.65/1.87 ** KEPT (pick-wt=3): 4 [] -an_element(inverse(the_element)).
% 1.65/1.87
% 1.65/1.87 ------------> process sos:
% 1.65/1.87 ** KEPT (pick-wt=4): 5 [] product(identity,A,A).
% 1.65/1.87 ** KEPT (pick-wt=4): 6 [] product(A,identity,A).
% 1.65/1.87 ** KEPT (pick-wt=5): 7 [] product(A,inverse(A),identity).
% 1.65/1.87 ** KEPT (pick-wt=5): 8 [] product(inverse(A),A,identity).
% 1.65/1.87 ** KEPT (pick-wt=2): 9 [] an_element(the_element).
% 1.65/1.87
% 1.65/1.87 ======= end of input processing =======
% 1.65/1.87
% 1.65/1.87 =========== start of search ===========
% 1.65/1.87
% 1.65/1.87 -------- PROOF --------
% 1.65/1.87
% 1.65/1.87 ----> UNIT CONFLICT at 0.00 sec ----> 17 [binary,16.1,4.1] $F.
% 1.65/1.87
% 1.65/1.87 Length of proof is 2. Level of proof is 2.
% 1.65/1.87
% 1.65/1.87 ---------------- PROOF ----------------
% 1.65/1.87 % SZS status Unsatisfiable
% 1.65/1.87 % SZS output start Refutation
% See solution above
% 1.65/1.87 ------------ end of proof -------------
% 1.65/1.87
% 1.65/1.87
% 1.65/1.87 Search stopped by max_proofs option.
% 1.65/1.87
% 1.65/1.87
% 1.65/1.87 Search stopped by max_proofs option.
% 1.65/1.87
% 1.65/1.87 ============ end of search ============
% 1.65/1.87
% 1.65/1.87 -------------- statistics -------------
% 1.65/1.87 clauses given 5
% 1.65/1.87 clauses generated 62
% 1.65/1.87 clauses kept 16
% 1.65/1.87 clauses forward subsumed 55
% 1.65/1.87 clauses back subsumed 0
% 1.65/1.87 Kbytes malloced 976
% 1.65/1.87
% 1.65/1.87 ----------- times (seconds) -----------
% 1.65/1.87 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.65/1.87 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.65/1.87 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.65/1.87
% 1.65/1.87 That finishes the proof of the theorem.
% 1.65/1.87
% 1.65/1.87 Process 4265 finished Wed Jul 27 05:35:53 2022
% 1.65/1.87 Otter interrupted
% 1.65/1.87 PROOF FOUND
%------------------------------------------------------------------------------