TSTP Solution File: SYN037-2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN037-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n022.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 13:23:21 EDT 2022
% Result : Unsatisfiable 1.62s 1.80s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 22
% Syntax : Number of clauses : 46 ( 5 unt; 32 nHn; 24 RR)
% Number of literals : 135 ( 0 equ; 38 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-1 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-1 aty)
% Number of variables : 32 ( 20 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ m1
| ~ m3
| ~ p(A)
| ~ p(fy(A)) ),
file('SYN037-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ m1
| ~ m3
| p(A)
| p(fy(A)) ),
file('SYN037-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ m1
| ~ p(cx)
| m3
| p(A) ),
file('SYN037-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ m1
| ~ p(A)
| m3
| p(cx) ),
file('SYN037-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ m2
| ~ m3
| ~ q(cw)
| q(A) ),
file('SYN037-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ m2
| ~ m3
| ~ q(A)
| q(cw) ),
file('SYN037-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ m2
| ~ q(A)
| ~ q(fz5(A))
| m3 ),
file('SYN037-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ m2
| m3
| q(A)
| q(fz5(A)) ),
file('SYN037-2.p',unknown),
[] ).
cnf(9,axiom,
( ~ m3
| ~ p(cx)
| m1
| p(A) ),
file('SYN037-2.p',unknown),
[] ).
cnf(10,axiom,
( ~ m3
| ~ p(A)
| m1
| p(cx) ),
file('SYN037-2.p',unknown),
[] ).
cnf(11,axiom,
( ~ m3
| ~ q(A)
| ~ q(fz2(A))
| m2 ),
file('SYN037-2.p',unknown),
[] ).
cnf(12,axiom,
( ~ m3
| m2
| q(A)
| q(fz2(A)) ),
file('SYN037-2.p',unknown),
[] ).
cnf(13,axiom,
( ~ p(A)
| ~ p(fy3(A))
| m1
| m3 ),
file('SYN037-2.p',unknown),
[] ).
cnf(14,axiom,
( ~ q(cw)
| m2
| m3
| q(A) ),
file('SYN037-2.p',unknown),
[] ).
cnf(15,axiom,
( ~ q(A)
| m2
| m3
| q(cw) ),
file('SYN037-2.p',unknown),
[] ).
cnf(16,axiom,
( ~ m1
| ~ q(A)
| q(B) ),
file('SYN037-2.p',unknown),
[] ).
cnf(17,axiom,
( ~ m2
| ~ p(A)
| p(B) ),
file('SYN037-2.p',unknown),
[] ).
cnf(18,axiom,
( ~ p(cvv)
| m2 ),
file('SYN037-2.p',unknown),
[] ).
cnf(19,axiom,
( ~ q(cuu)
| m1 ),
file('SYN037-2.p',unknown),
[] ).
cnf(20,axiom,
( m1
| m3
| p(A)
| p(fy3(A)) ),
file('SYN037-2.p',unknown),
[] ).
cnf(21,axiom,
( m2
| p(cv) ),
file('SYN037-2.p',unknown),
[] ).
cnf(22,axiom,
( m1
| q(cu) ),
file('SYN037-2.p',unknown),
[] ).
cnf(24,plain,
( m1
| m3
| p(fy3(fy3(fy3(A))))
| p(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[20,13,20])])])])]),
[iquote('hyper,20,13,20,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(26,plain,
( m1
| m2
| m3
| q(cw) ),
inference(hyper,[status(thm)],[22,15]),
[iquote('hyper,22,15')] ).
cnf(27,plain,
( m1
| m2
| m3
| q(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[26,14])])]),
[iquote('hyper,26,14,factor_simp,factor_simp')] ).
cnf(28,plain,
( m1
| m2
| m3 ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[27,19])]),
[iquote('hyper,27,19,factor_simp')] ).
cnf(32,plain,
( m1
| m2
| p(cx) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[28,10,21])])]),
[iquote('hyper,28,10,21,factor_simp,factor_simp')] ).
cnf(33,plain,
( m1
| m2
| p(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[32,9,28])])])]),
[iquote('hyper,32,9,28,factor_simp,factor_simp,factor_simp')] ).
cnf(34,plain,
( m1
| m2 ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[33,18])]),
[iquote('hyper,33,18,factor_simp')] ).
cnf(36,plain,
( m1
| p(A)
| m3 ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[34,17,24])])]),
[iquote('hyper,34,17,24,factor_simp,factor_simp')] ).
cnf(38,plain,
( m1
| m3 ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[36,13,36])])])])]),
[iquote('hyper,36,13,36,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(39,plain,
( m1
| q(cw) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[38,6,34,22])])]),
[iquote('hyper,38,6,34,22,factor_simp,factor_simp')] ).
cnf(40,plain,
( m1
| q(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[39,5,34,38])])]),
[iquote('hyper,39,5,34,38,factor_simp,factor_simp')] ).
cnf(41,plain,
m1,
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[40,19])]),
[iquote('hyper,40,19,factor_simp')] ).
cnf(42,plain,
( m3
| p(cx)
| m2 ),
inference(hyper,[status(thm)],[41,4,21]),
[iquote('hyper,41,4,21')] ).
cnf(43,plain,
( m3
| m2
| p(A) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[42,3,41])]),
[iquote('hyper,42,3,41,factor_simp')] ).
cnf(44,plain,
( m3
| m2 ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[43,18])]),
[iquote('hyper,43,18,factor_simp')] ).
cnf(45,plain,
( m2
| q(A)
| q(fz2(A)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[44,12])]),
[iquote('hyper,44,12,factor_simp')] ).
cnf(48,plain,
( m2
| q(A) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[45,16,41])]),
[iquote('hyper,45,16,41,factor_simp')] ).
cnf(49,plain,
m2,
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[48,11,44,48])])])]),
[iquote('hyper,48,11,44,48,factor_simp,factor_simp,factor_simp')] ).
cnf(50,plain,
( m3
| q(A)
| q(fz5(A)) ),
inference(hyper,[status(thm)],[49,8]),
[iquote('hyper,49,8')] ).
cnf(52,plain,
( m3
| q(A) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[50,16,41])]),
[iquote('hyper,50,16,41,factor_simp')] ).
cnf(53,plain,
m3,
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[52,7,49,52])])]),
[iquote('hyper,52,7,49,52,factor_simp,factor_simp')] ).
cnf(54,plain,
( p(A)
| p(fy(A)) ),
inference(hyper,[status(thm)],[53,2,41]),
[iquote('hyper,53,2,41')] ).
cnf(56,plain,
p(A),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[54,17,49])]),
[iquote('hyper,54,17,49,factor_simp')] ).
cnf(57,plain,
$false,
inference(hyper,[status(thm)],[56,1,41,53,56]),
[iquote('hyper,56,1,41,53,56')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN037-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n022.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 11:09:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.62/1.80 ----- Otter 3.3f, August 2004 -----
% 1.62/1.80 The process was started by sandbox2 on n022.cluster.edu,
% 1.62/1.80 Wed Jul 27 11:09:50 2022
% 1.62/1.80 The command was "./otter". The process ID is 5325.
% 1.62/1.80
% 1.62/1.80 set(prolog_style_variables).
% 1.62/1.80 set(auto).
% 1.62/1.80 dependent: set(auto1).
% 1.62/1.80 dependent: set(process_input).
% 1.62/1.80 dependent: clear(print_kept).
% 1.62/1.80 dependent: clear(print_new_demod).
% 1.62/1.80 dependent: clear(print_back_demod).
% 1.62/1.80 dependent: clear(print_back_sub).
% 1.62/1.80 dependent: set(control_memory).
% 1.62/1.80 dependent: assign(max_mem, 12000).
% 1.62/1.80 dependent: assign(pick_given_ratio, 4).
% 1.62/1.80 dependent: assign(stats_level, 1).
% 1.62/1.80 dependent: assign(max_seconds, 10800).
% 1.62/1.80 clear(print_given).
% 1.62/1.80
% 1.62/1.80 list(usable).
% 1.62/1.80 0 [] -m1| -m3| -p(X1)| -p(fy(X1)).
% 1.62/1.80 0 [] -m1| -m3|p(X1)|p(fy(X1)).
% 1.62/1.80 0 [] -m1| -p(cx)|m3|p(Y4).
% 1.62/1.80 0 [] -m1| -p(Y5)|m3|p(cx).
% 1.62/1.80 0 [] -m2| -m3| -q(cw)|q(Z1).
% 1.62/1.80 0 [] -m2| -m3| -q(Z)|q(cw).
% 1.62/1.80 0 [] -m2| -q(W2)| -q(fz5(W2))|m3.
% 1.62/1.80 0 [] -m2|m3|q(W2)|q(fz5(W2)).
% 1.62/1.80 0 [] -m3| -p(cx)|m1|p(Y1).
% 1.62/1.80 0 [] -m3| -p(Y2)|m1|p(cx).
% 1.62/1.80 0 [] -m3| -q(W1)| -q(fz2(W1))|m2.
% 1.62/1.80 0 [] -m3|m2|q(W1)|q(fz2(W1)).
% 1.62/1.80 0 [] -p(X2)| -p(fy3(X2))|m1|m3.
% 1.62/1.80 0 [] -q(cw)|m2|m3|q(Z4).
% 1.62/1.80 0 [] -q(Z3)|m2|m3|q(cw).
% 1.62/1.80 0 [] m1|m3|p(X2)|p(fy3(X2)).
% 1.62/1.80 0 [] -m1| -q(U1)|q(Uu1).
% 1.62/1.80 0 [] -m2| -p(V1)|p(Vv1).
% 1.62/1.80 0 [] -p(cvv)|m2.
% 1.62/1.80 0 [] -q(cuu)|m1.
% 1.62/1.80 0 [] m2|p(cv).
% 1.62/1.80 0 [] m1|q(cu).
% 1.62/1.80 end_of_list.
% 1.62/1.80
% 1.62/1.80 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.62/1.80
% 1.62/1.80 This is a non-Horn set without equality. The strategy will
% 1.62/1.80 be ordered hyper_res, unit deletion, and factoring, with
% 1.62/1.80 satellites in sos and with nuclei in usable.
% 1.62/1.80
% 1.62/1.80 dependent: set(hyper_res).
% 1.62/1.80 dependent: set(factor).
% 1.62/1.80 dependent: set(unit_deletion).
% 1.62/1.80
% 1.62/1.80 ------------> process usable:
% 1.62/1.80 ** KEPT (pick-wt=7): 1 [] -m1| -m3| -p(A)| -p(fy(A)).
% 1.62/1.80 ** KEPT (pick-wt=7): 2 [] -m1| -m3|p(A)|p(fy(A)).
% 1.62/1.80 ** KEPT (pick-wt=6): 3 [] -m1| -p(cx)|m3|p(A).
% 1.62/1.80 ** KEPT (pick-wt=6): 4 [] -m1| -p(A)|m3|p(cx).
% 1.62/1.80 ** KEPT (pick-wt=6): 5 [] -m2| -m3| -q(cw)|q(A).
% 1.62/1.80 ** KEPT (pick-wt=6): 6 [] -m2| -m3| -q(A)|q(cw).
% 1.62/1.80 ** KEPT (pick-wt=7): 7 [] -m2| -q(A)| -q(fz5(A))|m3.
% 1.62/1.80 ** KEPT (pick-wt=7): 8 [] -m2|m3|q(A)|q(fz5(A)).
% 1.62/1.80 ** KEPT (pick-wt=6): 9 [] -m3| -p(cx)|m1|p(A).
% 1.62/1.80 ** KEPT (pick-wt=6): 10 [] -m3| -p(A)|m1|p(cx).
% 1.62/1.80 ** KEPT (pick-wt=7): 11 [] -m3| -q(A)| -q(fz2(A))|m2.
% 1.62/1.80 ** KEPT (pick-wt=7): 12 [] -m3|m2|q(A)|q(fz2(A)).
% 1.62/1.80 ** KEPT (pick-wt=7): 13 [] -p(A)| -p(fy3(A))|m1|m3.
% 1.62/1.80 ** KEPT (pick-wt=6): 14 [] -q(cw)|m2|m3|q(A).
% 1.62/1.80 ** KEPT (pick-wt=6): 15 [] -q(A)|m2|m3|q(cw).
% 1.62/1.80 ** KEPT (pick-wt=5): 16 [] -m1| -q(A)|q(B).
% 1.62/1.80 ** KEPT (pick-wt=5): 17 [] -m2| -p(A)|p(B).
% 1.62/1.80 ** KEPT (pick-wt=3): 18 [] -p(cvv)|m2.
% 1.62/1.80 ** KEPT (pick-wt=3): 19 [] -q(cuu)|m1.
% 1.62/1.80
% 1.62/1.80 ------------> process sos:
% 1.62/1.80 ** KEPT (pick-wt=7): 20 [] m1|m3|p(A)|p(fy3(A)).
% 1.62/1.80 ** KEPT (pick-wt=3): 21 [] m2|p(cv).
% 1.62/1.80 ** KEPT (pick-wt=3): 22 [] m1|q(cu).
% 1.62/1.80
% 1.62/1.80 ======= end of input processing =======
% 1.62/1.80
% 1.62/1.80 =========== start of search ===========
% 1.62/1.80
% 1.62/1.80 -------- PROOF --------
% 1.62/1.80
% 1.62/1.80 -----> EMPTY CLAUSE at 0.00 sec ----> 57 [hyper,56,1,41,53,56] $F.
% 1.62/1.80
% 1.62/1.80 Length of proof is 23. Level of proof is 22.
% 1.62/1.80
% 1.62/1.80 ---------------- PROOF ----------------
% 1.62/1.80 % SZS status Unsatisfiable
% 1.62/1.80 % SZS output start Refutation
% See solution above
% 1.62/1.80 ------------ end of proof -------------
% 1.62/1.80
% 1.62/1.80
% 1.62/1.80 Search stopped by max_proofs option.
% 1.62/1.80
% 1.62/1.80
% 1.62/1.80 Search stopped by max_proofs option.
% 1.62/1.80
% 1.62/1.80 ============ end of search ============
% 1.62/1.80
% 1.62/1.80 -------------- statistics -------------
% 1.62/1.80 clauses given 26
% 1.62/1.80 clauses generated 136
% 1.62/1.80 clauses kept 56
% 1.62/1.80 clauses forward subsumed 101
% 1.62/1.80 clauses back subsumed 48
% 1.62/1.80 Kbytes malloced 976
% 1.62/1.80
% 1.62/1.80 ----------- times (seconds) -----------
% 1.62/1.80 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.62/1.80 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.62/1.80 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.62/1.80
% 1.62/1.80 That finishes the proof of the theorem.
% 1.62/1.80
% 1.62/1.80 Process 5325 finished Wed Jul 27 11:09:51 2022
% 1.62/1.80 Otter interrupted
% 1.62/1.80 PROOF FOUND
%------------------------------------------------------------------------------