TSTP Solution File: LCL678+1.001 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL678+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n004.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 13:05:06 EDT 2022
% Result : Theorem 1.70s 1.90s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 4 unt; 0 nHn; 6 RR)
% Number of literals : 11 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ r1(dollar_c1,A)
| r1(dollar_f2(A),dollar_f1(A)) ),
file('LCL678+1.001.p',unknown),
[] ).
cnf(4,axiom,
( ~ r1(dollar_c1,A)
| ~ p1(dollar_f1(A)) ),
file('LCL678+1.001.p',unknown),
[] ).
cnf(5,axiom,
( ~ r1(dollar_c1,A)
| ~ r1(dollar_f2(A),B)
| p1(B) ),
file('LCL678+1.001.p',unknown),
[] ).
cnf(6,axiom,
r1(A,A),
file('LCL678+1.001.p',unknown),
[] ).
cnf(8,plain,
r1(dollar_f2(dollar_c1),dollar_f1(dollar_c1)),
inference(hyper,[status(thm)],[6,3]),
[iquote('hyper,6,3')] ).
cnf(13,plain,
p1(dollar_f1(dollar_c1)),
inference(hyper,[status(thm)],[8,5,6]),
[iquote('hyper,8,5,6')] ).
cnf(16,plain,
$false,
inference(hyper,[status(thm)],[13,4,6]),
[iquote('hyper,13,4,6')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL678+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 09:14:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.70/1.90 ----- Otter 3.3f, August 2004 -----
% 1.70/1.90 The process was started by sandbox2 on n004.cluster.edu,
% 1.70/1.90 Wed Jul 27 09:14:51 2022
% 1.70/1.90 The command was "./otter". The process ID is 10866.
% 1.70/1.90
% 1.70/1.90 set(prolog_style_variables).
% 1.70/1.90 set(auto).
% 1.70/1.90 dependent: set(auto1).
% 1.70/1.90 dependent: set(process_input).
% 1.70/1.90 dependent: clear(print_kept).
% 1.70/1.90 dependent: clear(print_new_demod).
% 1.70/1.90 dependent: clear(print_back_demod).
% 1.70/1.90 dependent: clear(print_back_sub).
% 1.70/1.90 dependent: set(control_memory).
% 1.70/1.90 dependent: assign(max_mem, 12000).
% 1.70/1.90 dependent: assign(pick_given_ratio, 4).
% 1.70/1.90 dependent: assign(stats_level, 1).
% 1.70/1.90 dependent: assign(max_seconds, 10800).
% 1.70/1.90 clear(print_given).
% 1.70/1.90
% 1.70/1.90 formula_list(usable).
% 1.70/1.90 all X r1(X,X).
% 1.70/1.90 all X Y Z (r1(X,Y)&r1(Y,Z)->r1(X,Z)).
% 1.70/1.90 -(-(exists X (-(-(all Y (-r1(X,Y)| -(all X (-r1(Y,X)| (all Y (-r1(X,Y)|p1(Y)))| -(all Y (-r1(X,Y)|p1(Y))))))))))).
% 1.70/1.90 end_of_list.
% 1.70/1.90
% 1.70/1.90 -------> usable clausifies to:
% 1.70/1.90
% 1.70/1.90 list(usable).
% 1.70/1.90 0 [] r1(X,X).
% 1.70/1.90 0 [] -r1(X,Y)| -r1(Y,Z)|r1(X,Z).
% 1.70/1.90 0 [] -r1($c1,Y)|r1(Y,$f2(Y)).
% 1.70/1.90 0 [] -r1($c1,Y)|r1($f2(Y),$f1(Y)).
% 1.70/1.90 0 [] -r1($c1,Y)| -p1($f1(Y)).
% 1.70/1.90 0 [] -r1($c1,Y)| -r1($f2(Y),X1)|p1(X1).
% 1.70/1.90 end_of_list.
% 1.70/1.90
% 1.70/1.90 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.70/1.90
% 1.70/1.90 This is a Horn set without equality. The strategy will
% 1.70/1.90 be hyperresolution, with satellites in sos and nuclei
% 1.70/1.90 in usable.
% 1.70/1.90
% 1.70/1.90 dependent: set(hyper_res).
% 1.70/1.90 dependent: clear(order_hyper).
% 1.70/1.90
% 1.70/1.90 ------------> process usable:
% 1.70/1.90 ** KEPT (pick-wt=9): 1 [] -r1(A,B)| -r1(B,C)|r1(A,C).
% 1.70/1.90 ** KEPT (pick-wt=7): 2 [] -r1($c1,A)|r1(A,$f2(A)).
% 1.70/1.90 ** KEPT (pick-wt=8): 3 [] -r1($c1,A)|r1($f2(A),$f1(A)).
% 1.70/1.90 ** KEPT (pick-wt=6): 4 [] -r1($c1,A)| -p1($f1(A)).
% 1.70/1.90 ** KEPT (pick-wt=9): 5 [] -r1($c1,A)| -r1($f2(A),B)|p1(B).
% 1.70/1.90
% 1.70/1.90 ------------> process sos:
% 1.70/1.90 ** KEPT (pick-wt=3): 6 [] r1(A,A).
% 1.70/1.90
% 1.70/1.90 ======= end of input processing =======
% 1.70/1.90
% 1.70/1.90 =========== start of search ===========
% 1.70/1.90
% 1.70/1.90 -------- PROOF --------
% 1.70/1.90
% 1.70/1.90 -----> EMPTY CLAUSE at 0.00 sec ----> 16 [hyper,13,4,6] $F.
% 1.70/1.90
% 1.70/1.90 Length of proof is 2. Level of proof is 2.
% 1.70/1.90
% 1.70/1.90 ---------------- PROOF ----------------
% 1.70/1.90 % SZS status Theorem
% 1.70/1.90 % SZS output start Refutation
% See solution above
% 1.70/1.90 ------------ end of proof -------------
% 1.70/1.90
% 1.70/1.90
% 1.70/1.90 Search stopped by max_proofs option.
% 1.70/1.90
% 1.70/1.90
% 1.70/1.90 Search stopped by max_proofs option.
% 1.70/1.90
% 1.70/1.90 ============ end of search ============
% 1.70/1.90
% 1.70/1.90 -------------- statistics -------------
% 1.70/1.90 clauses given 7
% 1.70/1.90 clauses generated 19
% 1.70/1.90 clauses kept 15
% 1.70/1.90 clauses forward subsumed 9
% 1.70/1.90 clauses back subsumed 0
% 1.70/1.90 Kbytes malloced 976
% 1.70/1.90
% 1.70/1.90 ----------- times (seconds) -----------
% 1.70/1.90 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.70/1.90 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.70/1.90 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.70/1.90
% 1.70/1.90 That finishes the proof of the theorem.
% 1.70/1.90
% 1.70/1.90 Process 10866 finished Wed Jul 27 09:14:52 2022
% 1.70/1.90 Otter interrupted
% 1.70/1.90 PROOF FOUND
%------------------------------------------------------------------------------