TSTP Solution File: SYN979+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN979+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n023.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 13:25:36 EDT 2022
% Result : Theorem 1.88s 2.06s
% Output : Refutation 1.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 3 RR)
% Number of literals : 6 ( 0 equ; 2 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 : 4 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ s(dollar_c2)
| p(A,B) ),
file('SYN979+1.p',unknown),
[] ).
cnf(4,axiom,
~ p(dollar_c2,dollar_c1),
file('SYN979+1.p',unknown),
[] ).
cnf(9,axiom,
s(dollar_c2),
file('SYN979+1.p',unknown),
[] ).
cnf(13,plain,
p(A,B),
inference(hyper,[status(thm)],[9,3]),
[iquote('hyper,9,3')] ).
cnf(14,plain,
$false,
inference(binary,[status(thm)],[13,4]),
[iquote('binary,13.1,4.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN979+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 11:37:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.88/2.06 ----- Otter 3.3f, August 2004 -----
% 1.88/2.06 The process was started by sandbox2 on n023.cluster.edu,
% 1.88/2.06 Wed Jul 27 11:37:33 2022
% 1.88/2.06 The command was "./otter". The process ID is 15111.
% 1.88/2.06
% 1.88/2.06 set(prolog_style_variables).
% 1.88/2.06 set(auto).
% 1.88/2.06 dependent: set(auto1).
% 1.88/2.06 dependent: set(process_input).
% 1.88/2.06 dependent: clear(print_kept).
% 1.88/2.06 dependent: clear(print_new_demod).
% 1.88/2.06 dependent: clear(print_back_demod).
% 1.88/2.06 dependent: clear(print_back_sub).
% 1.88/2.06 dependent: set(control_memory).
% 1.88/2.06 dependent: assign(max_mem, 12000).
% 1.88/2.06 dependent: assign(pick_given_ratio, 4).
% 1.88/2.06 dependent: assign(stats_level, 1).
% 1.88/2.06 dependent: assign(max_seconds, 10800).
% 1.88/2.06 clear(print_given).
% 1.88/2.06
% 1.88/2.06 formula_list(usable).
% 1.88/2.06 -(all A B exists X Y ((q(X)->p(X,A))&q(A)&q(B)& (r(Y)->p(B,Y))&r(A)&r(B)& (s(A)->p(X,Y))&s(A)->p(A,B))).
% 1.88/2.06 end_of_list.
% 1.88/2.06
% 1.88/2.06 -------> usable clausifies to:
% 1.88/2.06
% 1.88/2.06 list(usable).
% 1.88/2.06 0 [] -q(X)|p(X,$c2).
% 1.88/2.06 0 [] q($c2).
% 1.88/2.06 0 [] q($c1).
% 1.88/2.06 0 [] -r(Y)|p($c1,Y).
% 1.88/2.06 0 [] r($c2).
% 1.88/2.06 0 [] r($c1).
% 1.88/2.06 0 [] -s($c2)|p(X,Y).
% 1.88/2.06 0 [] s($c2).
% 1.88/2.06 0 [] -p($c2,$c1).
% 1.88/2.06 end_of_list.
% 1.88/2.06
% 1.88/2.06 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=2.
% 1.88/2.06
% 1.88/2.06 This is a Horn set without equality. The strategy will
% 1.88/2.06 be hyperresolution, with satellites in sos and nuclei
% 1.88/2.06 in usable.
% 1.88/2.06
% 1.88/2.06 dependent: set(hyper_res).
% 1.88/2.06 dependent: clear(order_hyper).
% 1.88/2.06
% 1.88/2.06 ------------> process usable:
% 1.88/2.06 ** KEPT (pick-wt=5): 1 [] -q(A)|p(A,$c2).
% 1.88/2.06 ** KEPT (pick-wt=5): 2 [] -r(A)|p($c1,A).
% 1.88/2.06 ** KEPT (pick-wt=5): 3 [] -s($c2)|p(A,B).
% 1.88/2.06 ** KEPT (pick-wt=3): 4 [] -p($c2,$c1).
% 1.88/2.06
% 1.88/2.06 ------------> process sos:
% 1.88/2.06 ** KEPT (pick-wt=2): 5 [] q($c2).
% 1.88/2.06 ** KEPT (pick-wt=2): 6 [] q($c1).
% 1.88/2.06 ** KEPT (pick-wt=2): 7 [] r($c2).
% 1.88/2.06 ** KEPT (pick-wt=2): 8 [] r($c1).
% 1.88/2.06 ** KEPT (pick-wt=2): 9 [] s($c2).
% 1.88/2.06
% 1.88/2.06 ======= end of input processing =======
% 1.88/2.06
% 1.88/2.06 =========== start of search ===========
% 1.88/2.06
% 1.88/2.06 -------- PROOF --------
% 1.88/2.06
% 1.88/2.06 ----> UNIT CONFLICT at 0.00 sec ----> 14 [binary,13.1,4.1] $F.
% 1.88/2.06
% 1.88/2.06 Length of proof is 1. Level of proof is 1.
% 1.88/2.06
% 1.88/2.06 ---------------- PROOF ----------------
% 1.88/2.06 % SZS status Theorem
% 1.88/2.06 % SZS output start Refutation
% See solution above
% 1.88/2.06 ------------ end of proof -------------
% 1.88/2.06
% 1.88/2.06
% 1.88/2.06 Search stopped by max_proofs option.
% 1.88/2.06
% 1.88/2.06
% 1.88/2.06 Search stopped by max_proofs option.
% 1.88/2.06
% 1.88/2.06 ============ end of search ============
% 1.88/2.06
% 1.88/2.06 -------------- statistics -------------
% 1.88/2.06 clauses given 5
% 1.88/2.06 clauses generated 5
% 1.88/2.06 clauses kept 13
% 1.88/2.06 clauses forward subsumed 1
% 1.88/2.06 clauses back subsumed 0
% 1.88/2.06 Kbytes malloced 976
% 1.88/2.06
% 1.88/2.06 ----------- times (seconds) -----------
% 1.88/2.06 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.88/2.06 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.88/2.06 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.88/2.06
% 1.88/2.06 That finishes the proof of the theorem.
% 1.88/2.06
% 1.88/2.06 Process 15111 finished Wed Jul 27 11:37:34 2022
% 1.88/2.06 Otter interrupted
% 1.88/2.06 PROOF FOUND
%------------------------------------------------------------------------------