TSTP Solution File: SYN721-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN721-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 13:25:11 EDT 2022
% Result : Unsatisfiable 1.60s 1.81s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 7 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( q(A,A)
| ~ r(A,B) ),
file('SYN721-1.p',unknown),
[] ).
cnf(2,axiom,
( r(A,B)
| ~ q(C,B) ),
file('SYN721-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ q(A,a)
| ~ r(b,A) ),
file('SYN721-1.p',unknown),
[] ).
cnf(4,axiom,
r(a,b),
file('SYN721-1.p',unknown),
[] ).
cnf(5,plain,
q(a,a),
inference(hyper,[status(thm)],[4,1]),
[iquote('hyper,4,1')] ).
cnf(6,plain,
r(A,a),
inference(hyper,[status(thm)],[5,2]),
[iquote('hyper,5,2')] ).
cnf(7,plain,
$false,
inference(hyper,[status(thm)],[6,3,5]),
[iquote('hyper,6,3,5')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN721-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n003.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 11:02:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.60/1.81 ----- Otter 3.3f, August 2004 -----
% 1.60/1.81 The process was started by sandbox on n003.cluster.edu,
% 1.60/1.81 Wed Jul 27 11:02:41 2022
% 1.60/1.81 The command was "./otter". The process ID is 19966.
% 1.60/1.81
% 1.60/1.81 set(prolog_style_variables).
% 1.60/1.81 set(auto).
% 1.60/1.81 dependent: set(auto1).
% 1.60/1.81 dependent: set(process_input).
% 1.60/1.81 dependent: clear(print_kept).
% 1.60/1.81 dependent: clear(print_new_demod).
% 1.60/1.81 dependent: clear(print_back_demod).
% 1.60/1.81 dependent: clear(print_back_sub).
% 1.60/1.81 dependent: set(control_memory).
% 1.60/1.81 dependent: assign(max_mem, 12000).
% 1.60/1.81 dependent: assign(pick_given_ratio, 4).
% 1.60/1.81 dependent: assign(stats_level, 1).
% 1.60/1.81 dependent: assign(max_seconds, 10800).
% 1.60/1.81 clear(print_given).
% 1.60/1.81
% 1.60/1.81 list(usable).
% 1.60/1.81 0 [] r(a,b).
% 1.60/1.81 0 [] q(A,A)| -r(A,B).
% 1.60/1.81 0 [] r(C,B)| -q(A,B).
% 1.60/1.81 0 [] -q(A,a)| -r(b,A).
% 1.60/1.81 end_of_list.
% 1.60/1.81
% 1.60/1.81 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=2.
% 1.60/1.81
% 1.60/1.81 This is a Horn set without equality. The strategy will
% 1.60/1.81 be hyperresolution, with satellites in sos and nuclei
% 1.60/1.81 in usable.
% 1.60/1.81
% 1.60/1.81 dependent: set(hyper_res).
% 1.60/1.81 dependent: clear(order_hyper).
% 1.60/1.81
% 1.60/1.81 ------------> process usable:
% 1.60/1.81 ** KEPT (pick-wt=6): 1 [] q(A,A)| -r(A,B).
% 1.60/1.81 ** KEPT (pick-wt=6): 2 [] r(A,B)| -q(C,B).
% 1.60/1.81 ** KEPT (pick-wt=6): 3 [] -q(A,a)| -r(b,A).
% 1.60/1.81
% 1.60/1.81 ------------> process sos:
% 1.60/1.81 ** KEPT (pick-wt=3): 4 [] r(a,b).
% 1.60/1.81
% 1.60/1.81 ======= end of input processing =======
% 1.60/1.81
% 1.60/1.81 =========== start of search ===========
% 1.60/1.81
% 1.60/1.81 -------- PROOF --------
% 1.60/1.81
% 1.60/1.81 -----> EMPTY CLAUSE at 0.00 sec ----> 7 [hyper,6,3,5] $F.
% 1.60/1.81
% 1.60/1.81 Length of proof is 2. Level of proof is 2.
% 1.60/1.81
% 1.60/1.81 ---------------- PROOF ----------------
% 1.60/1.81 % SZS status Unsatisfiable
% 1.60/1.81 % SZS output start Refutation
% See solution above
% 1.60/1.81 ------------ end of proof -------------
% 1.60/1.81
% 1.60/1.81
% 1.60/1.81 Search stopped by max_proofs option.
% 1.60/1.81
% 1.60/1.81
% 1.60/1.81 Search stopped by max_proofs option.
% 1.60/1.81
% 1.60/1.81 ============ end of search ============
% 1.60/1.81
% 1.60/1.81 -------------- statistics -------------
% 1.60/1.81 clauses given 3
% 1.60/1.81 clauses generated 3
% 1.60/1.81 clauses kept 6
% 1.60/1.81 clauses forward subsumed 0
% 1.60/1.81 clauses back subsumed 0
% 1.60/1.81 Kbytes malloced 976
% 1.60/1.81
% 1.60/1.81 ----------- times (seconds) -----------
% 1.60/1.81 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.60/1.81 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.60/1.81 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.60/1.81
% 1.60/1.81 That finishes the proof of the theorem.
% 1.60/1.81
% 1.60/1.81 Process 19966 finished Wed Jul 27 11:02:43 2022
% 1.60/1.81 Otter interrupted
% 1.60/1.81 PROOF FOUND
%------------------------------------------------------------------------------