TSTP Solution File: LCL684+1.001 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL684+1.001 : TPTP v8.1.0. Released v4.0.0.
% 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 13:05:09 EDT 2022
% Result : Theorem 1.34s 1.73s
% Output : Refutation 1.34s
% 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 : 8 ( 0 equ; 4 neg)
% Maximal clause size : 4 ( 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 : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ r1(dollar_c1,A)
| ~ r1(A,B)
| ~ p201(B)
| ~ p101(B) ),
file('LCL684+1.001.p',unknown),
[] ).
cnf(3,axiom,
r1(A,A),
file('LCL684+1.001.p',unknown),
[] ).
cnf(4,axiom,
p201(dollar_c1),
file('LCL684+1.001.p',unknown),
[] ).
cnf(5,axiom,
p101(dollar_c1),
file('LCL684+1.001.p',unknown),
[] ).
cnf(6,plain,
$false,
inference(hyper,[status(thm)],[5,2,3,3,4]),
[iquote('hyper,5,2,3,3,4')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LCL684+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 09:31:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.34/1.73 ----- Otter 3.3f, August 2004 -----
% 1.34/1.73 The process was started by sandbox2 on n027.cluster.edu,
% 1.34/1.73 Wed Jul 27 09:31:37 2022
% 1.34/1.73 The command was "./otter". The process ID is 13009.
% 1.34/1.73
% 1.34/1.73 set(prolog_style_variables).
% 1.34/1.73 set(auto).
% 1.34/1.73 dependent: set(auto1).
% 1.34/1.73 dependent: set(process_input).
% 1.34/1.73 dependent: clear(print_kept).
% 1.34/1.73 dependent: clear(print_new_demod).
% 1.34/1.73 dependent: clear(print_back_demod).
% 1.34/1.73 dependent: clear(print_back_sub).
% 1.34/1.73 dependent: set(control_memory).
% 1.34/1.73 dependent: assign(max_mem, 12000).
% 1.34/1.73 dependent: assign(pick_given_ratio, 4).
% 1.34/1.73 dependent: assign(stats_level, 1).
% 1.34/1.73 dependent: assign(max_seconds, 10800).
% 1.34/1.73 clear(print_given).
% 1.34/1.73
% 1.34/1.73 formula_list(usable).
% 1.34/1.73 all X r1(X,X).
% 1.34/1.73 all X Y Z (r1(X,Y)&r1(Y,Z)->r1(X,Z)).
% 1.34/1.73 -(-(exists X (-(-(all Y (-r1(X,Y)| (all X (-r1(Y,X)| -(p201(X)&p101(X))))))| -(p201(X)&p101(X)))))).
% 1.34/1.73 end_of_list.
% 1.34/1.73
% 1.34/1.73 -------> usable clausifies to:
% 1.34/1.73
% 1.34/1.73 list(usable).
% 1.34/1.73 0 [] r1(X,X).
% 1.34/1.73 0 [] -r1(X,Y)| -r1(Y,Z)|r1(X,Z).
% 1.34/1.73 0 [] -r1($c1,Y)| -r1(Y,X)| -p201(X)| -p101(X).
% 1.34/1.73 0 [] p201($c1).
% 1.34/1.73 0 [] p101($c1).
% 1.34/1.73 end_of_list.
% 1.34/1.73
% 1.34/1.73 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.34/1.73
% 1.34/1.73 This is a Horn set without equality. The strategy will
% 1.34/1.73 be hyperresolution, with satellites in sos and nuclei
% 1.34/1.73 in usable.
% 1.34/1.73
% 1.34/1.73 dependent: set(hyper_res).
% 1.34/1.73 dependent: clear(order_hyper).
% 1.34/1.73
% 1.34/1.73 ------------> process usable:
% 1.34/1.73 ** KEPT (pick-wt=9): 1 [] -r1(A,B)| -r1(B,C)|r1(A,C).
% 1.34/1.73 ** KEPT (pick-wt=10): 2 [] -r1($c1,A)| -r1(A,B)| -p201(B)| -p101(B).
% 1.34/1.73
% 1.34/1.73 ------------> process sos:
% 1.34/1.73 ** KEPT (pick-wt=3): 3 [] r1(A,A).
% 1.34/1.73 ** KEPT (pick-wt=2): 4 [] p201($c1).
% 1.34/1.73 ** KEPT (pick-wt=2): 5 [] p101($c1).
% 1.34/1.73
% 1.34/1.73 ======= end of input processing =======
% 1.34/1.73
% 1.34/1.73 =========== start of search ===========
% 1.34/1.73
% 1.34/1.73 -------- PROOF --------
% 1.34/1.73
% 1.34/1.73 -----> EMPTY CLAUSE at 0.00 sec ----> 6 [hyper,5,2,3,3,4] $F.
% 1.34/1.73
% 1.34/1.73 Length of proof is 0. Level of proof is 0.
% 1.34/1.73
% 1.34/1.73 ---------------- PROOF ----------------
% 1.34/1.73 % SZS status Theorem
% 1.34/1.73 % SZS output start Refutation
% See solution above
% 1.34/1.73 ------------ end of proof -------------
% 1.34/1.73
% 1.34/1.73
% 1.34/1.73 Search stopped by max_proofs option.
% 1.34/1.73
% 1.34/1.73
% 1.34/1.73 Search stopped by max_proofs option.
% 1.34/1.73
% 1.34/1.73 ============ end of search ============
% 1.34/1.73
% 1.34/1.73 -------------- statistics -------------
% 1.34/1.73 clauses given 3
% 1.34/1.73 clauses generated 3
% 1.34/1.73 clauses kept 5
% 1.34/1.73 clauses forward subsumed 2
% 1.34/1.73 clauses back subsumed 0
% 1.34/1.73 Kbytes malloced 976
% 1.34/1.73
% 1.34/1.73 ----------- times (seconds) -----------
% 1.34/1.73 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.34/1.73 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.34/1.73 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.34/1.73
% 1.34/1.73 That finishes the proof of the theorem.
% 1.34/1.73
% 1.34/1.73 Process 13009 finished Wed Jul 27 09:31:38 2022
% 1.34/1.73 Otter interrupted
% 1.34/1.73 PROOF FOUND
%------------------------------------------------------------------------------