TSTP Solution File: SYN331+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN331+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n021.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 13:24:15 EDT 2022
% Result : Theorem 1.67s 1.87s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 7 ( 4 unt; 2 nHn; 3 RR)
% Number of literals : 10 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 11 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( big_f(A,B)
| ~ big_f(dollar_f1(A,B),dollar_f1(A,B)) ),
file('SYN331+1.p',unknown),
[] ).
cnf(4,axiom,
~ big_f(dollar_f1(A,B),B),
file('SYN331+1.p',unknown),
[] ).
cnf(7,axiom,
( big_f(A,B)
| big_f(dollar_f1(B,A),dollar_f1(B,A)) ),
file('SYN331+1.p',unknown),
[] ).
cnf(12,plain,
( big_f(A,B)
| big_f(B,A) ),
inference(hyper,[status(thm)],[7,2]),
[iquote('hyper,7,2')] ).
cnf(14,plain,
big_f(A,A),
inference(factor,[status(thm)],[12]),
[iquote('factor,12.1.2')] ).
cnf(15,plain,
big_f(A,B),
inference(hyper,[status(thm)],[14,2]),
[iquote('hyper,14,2')] ).
cnf(16,plain,
$false,
inference(binary,[status(thm)],[15,4]),
[iquote('binary,15.1,4.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN331+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.13 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 11:04:38 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.67/1.87 ----- Otter 3.3f, August 2004 -----
% 1.67/1.87 The process was started by sandbox2 on n021.cluster.edu,
% 1.67/1.87 Wed Jul 27 11:04:38 2022
% 1.67/1.87 The command was "./otter". The process ID is 6317.
% 1.67/1.87
% 1.67/1.87 set(prolog_style_variables).
% 1.67/1.87 set(auto).
% 1.67/1.87 dependent: set(auto1).
% 1.67/1.87 dependent: set(process_input).
% 1.67/1.87 dependent: clear(print_kept).
% 1.67/1.87 dependent: clear(print_new_demod).
% 1.67/1.87 dependent: clear(print_back_demod).
% 1.67/1.87 dependent: clear(print_back_sub).
% 1.67/1.87 dependent: set(control_memory).
% 1.67/1.87 dependent: assign(max_mem, 12000).
% 1.67/1.87 dependent: assign(pick_given_ratio, 4).
% 1.67/1.87 dependent: assign(stats_level, 1).
% 1.67/1.87 dependent: assign(max_seconds, 10800).
% 1.67/1.87 clear(print_given).
% 1.67/1.87
% 1.67/1.87 formula_list(usable).
% 1.67/1.87 -(exists X Y all Z (big_f(X,Z)-> (big_f(Y,Z)-> ((big_f(X,Y)<->big_f(Z,Z))-> (big_f(Y,X)|big_f(Z,Z)->big_f(Z,X)|big_f(Z,Y)))))).
% 1.67/1.87 end_of_list.
% 1.67/1.87
% 1.67/1.87 -------> usable clausifies to:
% 1.67/1.87
% 1.67/1.87 list(usable).
% 1.67/1.87 0 [] big_f(X,$f1(X,Y)).
% 1.67/1.87 0 [] big_f(Y,$f1(X,Y)).
% 1.67/1.87 0 [] -big_f(X,Y)|big_f($f1(X,Y),$f1(X,Y)).
% 1.67/1.87 0 [] big_f(X,Y)| -big_f($f1(X,Y),$f1(X,Y)).
% 1.67/1.87 0 [] big_f(Y,X)|big_f($f1(X,Y),$f1(X,Y)).
% 1.67/1.87 0 [] -big_f($f1(X,Y),X).
% 1.67/1.87 0 [] -big_f($f1(X,Y),Y).
% 1.67/1.87 end_of_list.
% 1.67/1.87
% 1.67/1.87 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=2.
% 1.67/1.87
% 1.67/1.87 This is a non-Horn set without equality. The strategy will
% 1.67/1.87 be ordered hyper_res, unit deletion, and factoring, with
% 1.67/1.87 satellites in sos and with nuclei in usable.
% 1.67/1.87
% 1.67/1.87 dependent: set(hyper_res).
% 1.67/1.87 dependent: set(factor).
% 1.67/1.87 dependent: set(unit_deletion).
% 1.67/1.87
% 1.67/1.87 ------------> process usable:
% 1.67/1.87 ** KEPT (pick-wt=10): 1 [] -big_f(A,B)|big_f($f1(A,B),$f1(A,B)).
% 1.67/1.87 ** KEPT (pick-wt=10): 2 [] big_f(A,B)| -big_f($f1(A,B),$f1(A,B)).
% 1.67/1.87 ** KEPT (pick-wt=5): 3 [] -big_f($f1(A,B),A).
% 1.67/1.87 ** KEPT (pick-wt=5): 4 [] -big_f($f1(A,B),B).
% 1.67/1.87
% 1.67/1.87 ------------> process sos:
% 1.67/1.87 ** KEPT (pick-wt=5): 5 [] big_f(A,$f1(A,B)).
% 1.67/1.87 ** KEPT (pick-wt=5): 6 [] big_f(A,$f1(B,A)).
% 1.67/1.87 ** KEPT (pick-wt=10): 7 [] big_f(A,B)|big_f($f1(B,A),$f1(B,A)).
% 1.67/1.87
% 1.67/1.87 ======= end of input processing =======
% 1.67/1.87
% 1.67/1.87 =========== start of search ===========
% 1.67/1.87
% 1.67/1.87 -------- PROOF --------
% 1.67/1.87
% 1.67/1.87 ----> UNIT CONFLICT at 0.00 sec ----> 16 [binary,15.1,4.1] $F.
% 1.67/1.87
% 1.67/1.87 Length of proof is 3. Level of proof is 3.
% 1.67/1.87
% 1.67/1.87 ---------------- PROOF ----------------
% 1.67/1.87 % SZS status Theorem
% 1.67/1.87 % SZS output start Refutation
% See solution above
% 1.67/1.87 ------------ end of proof -------------
% 1.67/1.87
% 1.67/1.87
% 1.67/1.87 Search stopped by max_proofs option.
% 1.67/1.87
% 1.67/1.87
% 1.67/1.87 Search stopped by max_proofs option.
% 1.67/1.87
% 1.67/1.87 ============ end of search ============
% 1.67/1.87
% 1.67/1.87 -------------- statistics -------------
% 1.67/1.87 clauses given 4
% 1.67/1.87 clauses generated 11
% 1.67/1.87 clauses kept 15
% 1.67/1.87 clauses forward subsumed 3
% 1.67/1.87 clauses back subsumed 7
% 1.67/1.87 Kbytes malloced 976
% 1.67/1.87
% 1.67/1.87 ----------- times (seconds) -----------
% 1.67/1.87 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.87 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.87 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.67/1.87
% 1.67/1.87 That finishes the proof of the theorem.
% 1.67/1.87
% 1.67/1.87 Process 6317 finished Wed Jul 27 11:04:39 2022
% 1.67/1.87 Otter interrupted
% 1.67/1.87 PROOF FOUND
%------------------------------------------------------------------------------