TSTP Solution File: SYN313-1.001.002 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN313-1.001.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 13:24:12 EDT 2022
% Result : Unsatisfiable 1.86s 2.09s
% Output : Refutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of clauses : 9 ( 2 unt; 6 nHn; 2 RR)
% Number of literals : 22 ( 0 equ; 2 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 22 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ p(A,f0(A),B)
| ~ p(A,f1(B),C) ),
file('SYN313-1.001.002.p',unknown),
[] ).
cnf(2,axiom,
( p(h0,A,j0(B))
| p(h1(A),C,j1(B))
| p(h2(C),B,j2(B)) ),
file('SYN313-1.001.002.p',unknown),
[] ).
cnf(3,plain,
( p(h1(f1(j0(A))),B,j1(C))
| p(h2(B),C,j2(C))
| p(h1(f0(h0)),D,j1(A))
| p(h2(D),A,j2(A)) ),
inference(hyper,[status(thm)],[2,1,2]),
[iquote('hyper,2,1,2')] ).
cnf(72,plain,
( p(h2(f1(j1(A))),B,j2(B))
| p(h1(f0(h0)),C,j1(D))
| p(h2(C),D,j2(D))
| p(h2(f0(h1(f1(j0(D))))),A,j2(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3,1,3])])]),
[iquote('hyper,3,1,3,factor_simp,factor_simp')] ).
cnf(373,plain,
( p(h1(f0(h0)),A,j1(B))
| p(h2(A),B,j2(B))
| p(h2(f0(h1(f1(j0(B))))),C,j2(C)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[72,1,72])])])]),
[iquote('hyper,72,1,72,factor_simp,factor_simp,factor_simp')] ).
cnf(585,plain,
( p(h1(f0(h0)),A,j1(B))
| p(h2(A),B,j2(B)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[373,1,373])])]),
[iquote('hyper,373,1,373,factor_simp,factor_simp')] ).
cnf(595,plain,
( p(h2(f1(j1(A))),B,j2(B))
| p(h2(f0(h1(f0(h0)))),A,j2(A)) ),
inference(hyper,[status(thm)],[585,1,585]),
[iquote('hyper,585,1,585')] ).
cnf(623,plain,
p(h2(f0(h1(f0(h0)))),A,j2(A)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[595,1,595])]),
[iquote('hyper,595,1,595,factor_simp')] ).
cnf(629,plain,
$false,
inference(hyper,[status(thm)],[623,1,623]),
[iquote('hyper,623,1,623')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN313-1.001.002 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n007.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 11:06:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.86/2.09 ----- Otter 3.3f, August 2004 -----
% 1.86/2.09 The process was started by sandbox on n007.cluster.edu,
% 1.86/2.09 Wed Jul 27 11:06:46 2022
% 1.86/2.09 The command was "./otter". The process ID is 28250.
% 1.86/2.09
% 1.86/2.09 set(prolog_style_variables).
% 1.86/2.09 set(auto).
% 1.86/2.09 dependent: set(auto1).
% 1.86/2.09 dependent: set(process_input).
% 1.86/2.09 dependent: clear(print_kept).
% 1.86/2.09 dependent: clear(print_new_demod).
% 1.86/2.09 dependent: clear(print_back_demod).
% 1.86/2.09 dependent: clear(print_back_sub).
% 1.86/2.09 dependent: set(control_memory).
% 1.86/2.09 dependent: assign(max_mem, 12000).
% 1.86/2.09 dependent: assign(pick_given_ratio, 4).
% 1.86/2.09 dependent: assign(stats_level, 1).
% 1.86/2.09 dependent: assign(max_seconds, 10800).
% 1.86/2.09 clear(print_given).
% 1.86/2.09
% 1.86/2.09 list(usable).
% 1.86/2.09 0 [] -p(X0,f0(X0),X1)| -p(X0,f1(X1),X2).
% 1.86/2.09 0 [] p(h0,Y0,j0(Y2))|p(h1(Y0),Y1,j1(Y2))|p(h2(Y1),Y2,j2(Y2)).
% 1.86/2.09 end_of_list.
% 1.86/2.09
% 1.86/2.09 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.86/2.09
% 1.86/2.09 This is a non-Horn set without equality. The strategy will
% 1.86/2.09 be ordered hyper_res, unit deletion, and factoring, with
% 1.86/2.09 satellites in sos and with nuclei in usable.
% 1.86/2.09
% 1.86/2.09 dependent: set(hyper_res).
% 1.86/2.09 dependent: set(factor).
% 1.86/2.09 dependent: set(unit_deletion).
% 1.86/2.09
% 1.86/2.09 ------------> process usable:
% 1.86/2.09 ** KEPT (pick-wt=10): 1 [] -p(A,f0(A),B)| -p(A,f1(B),C).
% 1.86/2.09
% 1.86/2.09 ------------> process sos:
% 1.86/2.09 ** KEPT (pick-wt=17): 2 [] p(h0,A,j0(B))|p(h1(A),C,j1(B))|p(h2(C),B,j2(B)).
% 1.86/2.09
% 1.86/2.09 ======= end of input processing =======
% 1.86/2.09
% 1.86/2.09 =========== start of search ===========
% 1.86/2.09
% 1.86/2.09 -------- PROOF --------
% 1.86/2.09
% 1.86/2.09 -----> EMPTY CLAUSE at 0.18 sec ----> 629 [hyper,623,1,623] $F.
% 1.86/2.09
% 1.86/2.09 Length of proof is 6. Level of proof is 6.
% 1.86/2.09
% 1.86/2.09 ---------------- PROOF ----------------
% 1.86/2.09 % SZS status Unsatisfiable
% 1.86/2.09 % SZS output start Refutation
% See solution above
% 1.86/2.09 ------------ end of proof -------------
% 1.86/2.09
% 1.86/2.09
% 1.86/2.09 Search stopped by max_proofs option.
% 1.86/2.09
% 1.86/2.09
% 1.86/2.09 Search stopped by max_proofs option.
% 1.86/2.09
% 1.86/2.09 ============ end of search ============
% 1.86/2.09
% 1.86/2.09 -------------- statistics -------------
% 1.86/2.09 clauses given 20
% 1.86/2.09 clauses generated 1095
% 1.86/2.09 clauses kept 628
% 1.86/2.09 clauses forward subsumed 468
% 1.86/2.09 clauses back subsumed 551
% 1.86/2.09 Kbytes malloced 1953
% 1.86/2.09
% 1.86/2.09 ----------- times (seconds) -----------
% 1.86/2.09 user CPU time 0.18 (0 hr, 0 min, 0 sec)
% 1.86/2.09 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.86/2.09 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.86/2.09
% 1.86/2.09 That finishes the proof of the theorem.
% 1.86/2.09
% 1.86/2.09 Process 28250 finished Wed Jul 27 11:06:48 2022
% 1.86/2.09 Otter interrupted
% 1.86/2.09 PROOF FOUND
%------------------------------------------------------------------------------