TSTP Solution File: SYN006-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n025.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 13:23:17 EDT 2022
% Result : Unsatisfiable 1.88s 2.08s
% Output : Refutation 1.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 8 unt; 3 nHn; 7 RR)
% Number of literals : 18 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 17 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ p1(A,f(B))
| q1(f(A),B)
| q2(A,f(B)) ),
file('SYN006-1.p',unknown),
[] ).
cnf(2,axiom,
~ q2(A,f(B)),
file('SYN006-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ p2(A,f(B))
| q3(f(A),B)
| q4(A,f(B)) ),
file('SYN006-1.p',unknown),
[] ).
cnf(4,axiom,
~ q3(A,g(B)),
file('SYN006-1.p',unknown),
[] ).
cnf(5,axiom,
~ q4(f(f(A)),f(g(f(B)))),
file('SYN006-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ q1(A,f(B))
| p2(f(A),B) ),
file('SYN006-1.p',unknown),
[] ).
cnf(7,axiom,
p1(a,A),
file('SYN006-1.p',unknown),
[] ).
cnf(8,plain,
q1(f(a),A),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[7,1]),2]),
[iquote('hyper,7,1,unit_del,2')] ).
cnf(9,plain,
p2(f(f(a)),A),
inference(hyper,[status(thm)],[8,6]),
[iquote('hyper,8,6')] ).
cnf(10,plain,
( q3(f(f(f(a))),A)
| q4(f(f(a)),f(A)) ),
inference(hyper,[status(thm)],[9,3]),
[iquote('hyper,9,3')] ).
cnf(11,plain,
q3(f(f(f(a))),g(f(A))),
inference(hyper,[status(thm)],[10,5]),
[iquote('hyper,10,5')] ).
cnf(12,plain,
$false,
inference(binary,[status(thm)],[11,4]),
[iquote('binary,11.1,4.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n025.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 11:31:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.88/2.08 ----- Otter 3.3f, August 2004 -----
% 1.88/2.08 The process was started by sandbox2 on n025.cluster.edu,
% 1.88/2.08 Wed Jul 27 11:31:15 2022
% 1.88/2.08 The command was "./otter". The process ID is 5726.
% 1.88/2.08
% 1.88/2.08 set(prolog_style_variables).
% 1.88/2.08 set(auto).
% 1.88/2.08 dependent: set(auto1).
% 1.88/2.08 dependent: set(process_input).
% 1.88/2.08 dependent: clear(print_kept).
% 1.88/2.08 dependent: clear(print_new_demod).
% 1.88/2.08 dependent: clear(print_back_demod).
% 1.88/2.08 dependent: clear(print_back_sub).
% 1.88/2.08 dependent: set(control_memory).
% 1.88/2.08 dependent: assign(max_mem, 12000).
% 1.88/2.08 dependent: assign(pick_given_ratio, 4).
% 1.88/2.08 dependent: assign(stats_level, 1).
% 1.88/2.08 dependent: assign(max_seconds, 10800).
% 1.88/2.08 clear(print_given).
% 1.88/2.08
% 1.88/2.08 list(usable).
% 1.88/2.08 0 [] -p1(X,f(Y))|q1(f(X),Y)|q2(X,f(Y)).
% 1.88/2.08 0 [] p1(a,Y).
% 1.88/2.08 0 [] -q2(X,f(Y)).
% 1.88/2.08 0 [] -p2(X,f(Y))|q3(f(X),Y)|q4(X,f(Y)).
% 1.88/2.08 0 [] -q3(X,g(Y)).
% 1.88/2.08 0 [] -q4(f(f(X)),f(g(f(Y)))).
% 1.88/2.08 0 [] -q1(X,f(Y))|p2(f(X),Y).
% 1.88/2.08 end_of_list.
% 1.88/2.08
% 1.88/2.08 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.88/2.08
% 1.88/2.08 This is a non-Horn set without equality. The strategy will
% 1.88/2.08 be ordered hyper_res, unit deletion, and factoring, with
% 1.88/2.08 satellites in sos and with nuclei in usable.
% 1.88/2.08
% 1.88/2.08 dependent: set(hyper_res).
% 1.88/2.08 dependent: set(factor).
% 1.88/2.08 dependent: set(unit_deletion).
% 1.88/2.08
% 1.88/2.08 ------------> process usable:
% 1.88/2.08 ** KEPT (pick-wt=12): 1 [] -p1(A,f(B))|q1(f(A),B)|q2(A,f(B)).
% 1.88/2.08 ** KEPT (pick-wt=4): 2 [] -q2(A,f(B)).
% 1.88/2.08 ** KEPT (pick-wt=12): 3 [] -p2(A,f(B))|q3(f(A),B)|q4(A,f(B)).
% 1.88/2.08 ** KEPT (pick-wt=4): 4 [] -q3(A,g(B)).
% 1.88/2.08 ** KEPT (pick-wt=8): 5 [] -q4(f(f(A)),f(g(f(B)))).
% 1.88/2.08 ** KEPT (pick-wt=8): 6 [] -q1(A,f(B))|p2(f(A),B).
% 1.88/2.08
% 1.88/2.08 ------------> process sos:
% 1.88/2.08 ** KEPT (pick-wt=3): 7 [] p1(a,A).
% 1.88/2.08
% 1.88/2.08 ======= end of input processing =======
% 1.88/2.08
% 1.88/2.08 =========== start of search ===========
% 1.88/2.08
% 1.88/2.08 -------- PROOF --------
% 1.88/2.08
% 1.88/2.08 ----> UNIT CONFLICT at 0.00 sec ----> 12 [binary,11.1,4.1] $F.
% 1.88/2.08
% 1.88/2.08 Length of proof is 4. Level of proof is 4.
% 1.88/2.08
% 1.88/2.08 ---------------- PROOF ----------------
% 1.88/2.08 % SZS status Unsatisfiable
% 1.88/2.08 % SZS output start Refutation
% See solution above
% 1.88/2.08 ------------ end of proof -------------
% 1.88/2.08
% 1.88/2.08
% 1.88/2.08 Search stopped by max_proofs option.
% 1.88/2.08
% 1.88/2.08
% 1.88/2.08 Search stopped by max_proofs option.
% 1.88/2.08
% 1.88/2.08 ============ end of search ============
% 1.88/2.08
% 1.88/2.08 -------------- statistics -------------
% 1.88/2.08 clauses given 4
% 1.88/2.08 clauses generated 4
% 1.88/2.08 clauses kept 11
% 1.88/2.08 clauses forward subsumed 0
% 1.88/2.08 clauses back subsumed 0
% 1.88/2.08 Kbytes malloced 976
% 1.88/2.08
% 1.88/2.08 ----------- times (seconds) -----------
% 1.88/2.08 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.88/2.08 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.88/2.08 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.88/2.08
% 1.88/2.08 That finishes the proof of the theorem.
% 1.88/2.08
% 1.88/2.08 Process 5726 finished Wed Jul 27 11:31:17 2022
% 1.88/2.08 Otter interrupted
% 1.88/2.08 PROOF FOUND
%------------------------------------------------------------------------------