TSTP Solution File: SYN359+1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN359+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n012.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 13:24:21 EDT 2022
% Result : Theorem 1.66s 1.86s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 4 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 0 equ; 4 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 : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 5 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ big_r(A)
| big_q(A,dollar_f1(A)) ),
file('SYN359+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ big_q(A,B)
| big_q(A,A) ),
file('SYN359+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ big_q(A,B)
| ~ big_r(B) ),
file('SYN359+1.p',unknown),
[] ).
cnf(4,axiom,
big_r(dollar_c1),
file('SYN359+1.p',unknown),
[] ).
cnf(5,plain,
big_q(dollar_c1,dollar_f1(dollar_c1)),
inference(hyper,[status(thm)],[4,1]),
[iquote('hyper,4,1')] ).
cnf(6,plain,
big_q(dollar_c1,dollar_c1),
inference(hyper,[status(thm)],[5,2]),
[iquote('hyper,5,2')] ).
cnf(7,plain,
$false,
inference(hyper,[status(thm)],[6,3,4]),
[iquote('hyper,6,3,4')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN359+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.32 % Computer : n012.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Jul 27 11:01:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.66/1.86 ----- Otter 3.3f, August 2004 -----
% 1.66/1.86 The process was started by sandbox on n012.cluster.edu,
% 1.66/1.86 Wed Jul 27 11:01:35 2022
% 1.66/1.86 The command was "./otter". The process ID is 30373.
% 1.66/1.86
% 1.66/1.86 set(prolog_style_variables).
% 1.66/1.86 set(auto).
% 1.66/1.86 dependent: set(auto1).
% 1.66/1.86 dependent: set(process_input).
% 1.66/1.86 dependent: clear(print_kept).
% 1.66/1.86 dependent: clear(print_new_demod).
% 1.66/1.86 dependent: clear(print_back_demod).
% 1.66/1.86 dependent: clear(print_back_sub).
% 1.66/1.86 dependent: set(control_memory).
% 1.66/1.86 dependent: assign(max_mem, 12000).
% 1.66/1.86 dependent: assign(pick_given_ratio, 4).
% 1.66/1.86 dependent: assign(stats_level, 1).
% 1.66/1.86 dependent: assign(max_seconds, 10800).
% 1.66/1.86 clear(print_given).
% 1.66/1.86
% 1.66/1.86 formula_list(usable).
% 1.66/1.86 -((exists X big_r(X))& (all Y (big_r(Y)-> (exists Z big_q(Y,Z))))& (all X Y (big_q(X,Y)->big_q(X,X)))-> (exists X Y (big_q(X,Y)&big_r(Y)))).
% 1.66/1.86 end_of_list.
% 1.66/1.86
% 1.66/1.86 -------> usable clausifies to:
% 1.66/1.86
% 1.66/1.86 list(usable).
% 1.66/1.86 0 [] big_r($c1).
% 1.66/1.86 0 [] -big_r(Y)|big_q(Y,$f1(Y)).
% 1.66/1.86 0 [] -big_q(X,X1)|big_q(X,X).
% 1.66/1.86 0 [] -big_q(X2,X3)| -big_r(X3).
% 1.66/1.86 end_of_list.
% 1.66/1.86
% 1.66/1.86 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=2.
% 1.66/1.86
% 1.66/1.86 This is a Horn set without equality. The strategy will
% 1.66/1.86 be hyperresolution, with satellites in sos and nuclei
% 1.66/1.86 in usable.
% 1.66/1.86
% 1.66/1.86 dependent: set(hyper_res).
% 1.66/1.86 dependent: clear(order_hyper).
% 1.66/1.86
% 1.66/1.86 ------------> process usable:
% 1.66/1.86 ** KEPT (pick-wt=6): 1 [] -big_r(A)|big_q(A,$f1(A)).
% 1.66/1.86 ** KEPT (pick-wt=6): 2 [] -big_q(A,B)|big_q(A,A).
% 1.66/1.86 ** KEPT (pick-wt=5): 3 [] -big_q(A,B)| -big_r(B).
% 1.66/1.86
% 1.66/1.86 ------------> process sos:
% 1.66/1.86 ** KEPT (pick-wt=2): 4 [] big_r($c1).
% 1.66/1.86
% 1.66/1.86 ======= end of input processing =======
% 1.66/1.86
% 1.66/1.86 =========== start of search ===========
% 1.66/1.86
% 1.66/1.86 -------- PROOF --------
% 1.66/1.86
% 1.66/1.86 -----> EMPTY CLAUSE at 0.00 sec ----> 7 [hyper,6,3,4] $F.
% 1.66/1.86
% 1.66/1.86 Length of proof is 2. Level of proof is 2.
% 1.66/1.86
% 1.66/1.86 ---------------- PROOF ----------------
% 1.66/1.86 % SZS status Theorem
% 1.66/1.86 % SZS output start Refutation
% See solution above
% 1.66/1.86 ------------ end of proof -------------
% 1.66/1.86
% 1.66/1.86
% 1.66/1.86 Search stopped by max_proofs option.
% 1.66/1.86
% 1.66/1.86
% 1.66/1.86 Search stopped by max_proofs option.
% 1.66/1.86
% 1.66/1.86 ============ end of search ============
% 1.66/1.86
% 1.66/1.86 -------------- statistics -------------
% 1.66/1.86 clauses given 3
% 1.66/1.86 clauses generated 3
% 1.66/1.86 clauses kept 6
% 1.66/1.86 clauses forward subsumed 0
% 1.66/1.86 clauses back subsumed 0
% 1.66/1.86 Kbytes malloced 976
% 1.66/1.86
% 1.66/1.86 ----------- times (seconds) -----------
% 1.66/1.86 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.66/1.86 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.66/1.86 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.66/1.86
% 1.66/1.86 That finishes the proof of the theorem.
% 1.66/1.86
% 1.66/1.86 Process 30373 finished Wed Jul 27 11:01:37 2022
% 1.66/1.86 Otter interrupted
% 1.66/1.86 PROOF FOUND
%------------------------------------------------------------------------------