TSTP Solution File: SYN967+1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN967+1 : TPTP v8.1.0. Released v3.1.0.
% 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 13:25:35 EDT 2022
% Result : Theorem 1.67s 1.86s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 2 unt; 1 nHn; 3 RR)
% Number of literals : 8 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 3 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ q(A)
| p(A) ),
file('SYN967+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ p(dollar_c2)
| ~ p(dollar_c1) ),
file('SYN967+1.p',unknown),
[] ).
cnf(5,axiom,
( p(A)
| q(A) ),
file('SYN967+1.p',unknown),
[] ).
cnf(6,plain,
p(A),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[5,1])]),
[iquote('hyper,5,1,factor_simp')] ).
cnf(7,plain,
$false,
inference(hyper,[status(thm)],[6,4,6]),
[iquote('hyper,6,4,6')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN967+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 11:23:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.67/1.86 ----- Otter 3.3f, August 2004 -----
% 1.67/1.86 The process was started by sandbox on n004.cluster.edu,
% 1.67/1.86 Wed Jul 27 11:23:21 2022
% 1.67/1.86 The command was "./otter". The process ID is 15431.
% 1.67/1.86
% 1.67/1.86 set(prolog_style_variables).
% 1.67/1.86 set(auto).
% 1.67/1.86 dependent: set(auto1).
% 1.67/1.86 dependent: set(process_input).
% 1.67/1.86 dependent: clear(print_kept).
% 1.67/1.86 dependent: clear(print_new_demod).
% 1.67/1.86 dependent: clear(print_back_demod).
% 1.67/1.86 dependent: clear(print_back_sub).
% 1.67/1.86 dependent: set(control_memory).
% 1.67/1.86 dependent: assign(max_mem, 12000).
% 1.67/1.86 dependent: assign(pick_given_ratio, 4).
% 1.67/1.86 dependent: assign(stats_level, 1).
% 1.67/1.86 dependent: assign(max_seconds, 10800).
% 1.67/1.86 clear(print_given).
% 1.67/1.86
% 1.67/1.86 formula_list(usable).
% 1.67/1.86 -(all A B ((all Y (q(Y)->p(Y)))-> (exists X ((p(X)->p(A))& (q(X)->p(B)))))).
% 1.67/1.86 end_of_list.
% 1.67/1.86
% 1.67/1.86 -------> usable clausifies to:
% 1.67/1.86
% 1.67/1.86 list(usable).
% 1.67/1.86 0 [] -q(Y)|p(Y).
% 1.67/1.86 0 [] p(X)|q(X).
% 1.67/1.86 0 [] p(X)| -p($c1).
% 1.67/1.86 0 [] -p($c2)|q(X).
% 1.67/1.86 0 [] -p($c2)| -p($c1).
% 1.67/1.86 end_of_list.
% 1.67/1.86
% 1.67/1.86 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=2.
% 1.67/1.86
% 1.67/1.86 This is a non-Horn set without equality. The strategy will
% 1.67/1.86 be ordered hyper_res, unit deletion, and factoring, with
% 1.67/1.86 satellites in sos and with nuclei in usable.
% 1.67/1.86
% 1.67/1.86 dependent: set(hyper_res).
% 1.67/1.86 dependent: set(factor).
% 1.67/1.86 dependent: set(unit_deletion).
% 1.67/1.86
% 1.67/1.86 ------------> process usable:
% 1.67/1.86 ** KEPT (pick-wt=4): 1 [] -q(A)|p(A).
% 1.67/1.86 ** KEPT (pick-wt=4): 2 [] p(A)| -p($c1).
% 1.67/1.86 ** KEPT (pick-wt=4): 3 [] -p($c2)|q(A).
% 1.67/1.86 ** KEPT (pick-wt=4): 4 [] -p($c2)| -p($c1).
% 1.67/1.86
% 1.67/1.86 ------------> process sos:
% 1.67/1.86 ** KEPT (pick-wt=4): 5 [] p(A)|q(A).
% 1.67/1.86
% 1.67/1.86 ======= end of input processing =======
% 1.67/1.86
% 1.67/1.86 =========== start of search ===========
% 1.67/1.86
% 1.67/1.86 -------- PROOF --------
% 1.67/1.86
% 1.67/1.86 -----> EMPTY CLAUSE at 0.00 sec ----> 7 [hyper,6,4,6] $F.
% 1.67/1.86
% 1.67/1.86 Length of proof is 1. Level of proof is 1.
% 1.67/1.86
% 1.67/1.86 ---------------- PROOF ----------------
% 1.67/1.86 % SZS status Theorem
% 1.67/1.86 % SZS output start Refutation
% See solution above
% 1.67/1.86 ------------ end of proof -------------
% 1.67/1.86
% 1.67/1.86
% 1.67/1.86 Search stopped by max_proofs option.
% 1.67/1.86
% 1.67/1.86
% 1.67/1.86 Search stopped by max_proofs option.
% 1.67/1.86
% 1.67/1.86 ============ end of search ============
% 1.67/1.86
% 1.67/1.86 -------------- statistics -------------
% 1.67/1.86 clauses given 2
% 1.67/1.86 clauses generated 2
% 1.67/1.86 clauses kept 6
% 1.67/1.86 clauses forward subsumed 0
% 1.67/1.86 clauses back subsumed 3
% 1.67/1.86 Kbytes malloced 976
% 1.67/1.86
% 1.67/1.86 ----------- times (seconds) -----------
% 1.67/1.86 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.86 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.86 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.67/1.86
% 1.67/1.86 That finishes the proof of the theorem.
% 1.67/1.86
% 1.67/1.86 Process 15431 finished Wed Jul 27 11:23:22 2022
% 1.67/1.86 Otter interrupted
% 1.67/1.86 PROOF FOUND
%------------------------------------------------------------------------------