TSTP Solution File: SYN380+1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN380+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n018.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 13:24:24 EDT 2022
% Result : Theorem 1.68s 1.88s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 4 unt; 1 nHn; 3 RR)
% Number of literals : 8 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ big_r(A,A),
file('SYN380+1.p',unknown),
[] ).
cnf(2,axiom,
( big_r(A,B)
| ~ big_q(dollar_f1(A,B),dollar_f1(A,B)) ),
file('SYN380+1.p',unknown),
[] ).
cnf(3,axiom,
( big_r(A,B)
| big_q(B,A) ),
file('SYN380+1.p',unknown),
[] ).
cnf(4,plain,
big_q(A,A),
inference(hyper,[status(thm)],[3,1]),
[iquote('hyper,3,1')] ).
cnf(5,plain,
big_r(A,B),
inference(hyper,[status(thm)],[4,2]),
[iquote('hyper,4,2')] ).
cnf(6,plain,
$false,
inference(binary,[status(thm)],[5,1]),
[iquote('binary,5.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN380+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 11:24:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.68/1.88 ----- Otter 3.3f, August 2004 -----
% 1.68/1.88 The process was started by sandbox on n018.cluster.edu,
% 1.68/1.88 Wed Jul 27 11:24:31 2022
% 1.68/1.88 The command was "./otter". The process ID is 6545.
% 1.68/1.88
% 1.68/1.88 set(prolog_style_variables).
% 1.68/1.88 set(auto).
% 1.68/1.88 dependent: set(auto1).
% 1.68/1.88 dependent: set(process_input).
% 1.68/1.88 dependent: clear(print_kept).
% 1.68/1.88 dependent: clear(print_new_demod).
% 1.68/1.88 dependent: clear(print_back_demod).
% 1.68/1.88 dependent: clear(print_back_sub).
% 1.68/1.88 dependent: set(control_memory).
% 1.68/1.88 dependent: assign(max_mem, 12000).
% 1.68/1.88 dependent: assign(pick_given_ratio, 4).
% 1.68/1.88 dependent: assign(stats_level, 1).
% 1.68/1.88 dependent: assign(max_seconds, 10800).
% 1.68/1.88 clear(print_given).
% 1.68/1.88
% 1.68/1.88 formula_list(usable).
% 1.68/1.88 -((all W (-big_r(W,W)))-> (exists X Y (-big_r(X,Y)& (big_q(Y,X)-> (all Z big_q(Z,Z)))))).
% 1.68/1.88 end_of_list.
% 1.68/1.88
% 1.68/1.88 -------> usable clausifies to:
% 1.68/1.88
% 1.68/1.88 list(usable).
% 1.68/1.88 0 [] -big_r(W,W).
% 1.68/1.88 0 [] big_r(X,Y)|big_q(Y,X).
% 1.68/1.88 0 [] big_r(X,Y)| -big_q($f1(X,Y),$f1(X,Y)).
% 1.68/1.88 end_of_list.
% 1.68/1.88
% 1.68/1.88 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=2.
% 1.68/1.88
% 1.68/1.88 This is a non-Horn set without equality. The strategy will
% 1.68/1.88 be ordered hyper_res, unit deletion, and factoring, with
% 1.68/1.88 satellites in sos and with nuclei in usable.
% 1.68/1.88
% 1.68/1.88 dependent: set(hyper_res).
% 1.68/1.88 dependent: set(factor).
% 1.68/1.88 dependent: set(unit_deletion).
% 1.68/1.88
% 1.68/1.88 ------------> process usable:
% 1.68/1.88 ** KEPT (pick-wt=3): 1 [] -big_r(A,A).
% 1.68/1.88 ** KEPT (pick-wt=10): 2 [] big_r(A,B)| -big_q($f1(A,B),$f1(A,B)).
% 1.68/1.88
% 1.68/1.88 ------------> process sos:
% 1.68/1.88 ** KEPT (pick-wt=6): 3 [] big_r(A,B)|big_q(B,A).
% 1.68/1.88
% 1.68/1.88 ======= end of input processing =======
% 1.68/1.88
% 1.68/1.88 =========== start of search ===========
% 1.68/1.88
% 1.68/1.88 -------- PROOF --------
% 1.68/1.88
% 1.68/1.88 ----> UNIT CONFLICT at 0.00 sec ----> 6 [binary,5.1,1.1] $F.
% 1.68/1.88
% 1.68/1.88 Length of proof is 2. Level of proof is 2.
% 1.68/1.88
% 1.68/1.88 ---------------- PROOF ----------------
% 1.68/1.88 % SZS status Theorem
% 1.68/1.88 % SZS output start Refutation
% See solution above
% 1.68/1.88 ------------ end of proof -------------
% 1.68/1.88
% 1.68/1.88
% 1.68/1.88 Search stopped by max_proofs option.
% 1.68/1.88
% 1.68/1.88
% 1.68/1.88 Search stopped by max_proofs option.
% 1.68/1.88
% 1.68/1.88 ============ end of search ============
% 1.68/1.88
% 1.68/1.88 -------------- statistics -------------
% 1.68/1.88 clauses given 2
% 1.68/1.88 clauses generated 2
% 1.68/1.88 clauses kept 5
% 1.68/1.88 clauses forward subsumed 0
% 1.68/1.88 clauses back subsumed 0
% 1.68/1.88 Kbytes malloced 976
% 1.68/1.88
% 1.68/1.88 ----------- times (seconds) -----------
% 1.68/1.88 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.68/1.88 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.68/1.88 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.68/1.88
% 1.68/1.88 That finishes the proof of the theorem.
% 1.68/1.88
% 1.68/1.88 Process 6545 finished Wed Jul 27 11:24:33 2022
% 1.68/1.88 Otter interrupted
% 1.68/1.88 PROOF FOUND
%------------------------------------------------------------------------------