TSTP Solution File: SYN101-1.002.002 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN101-1.002.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 13:23:34 EDT 2022
% Result : Unsatisfiable 1.57s 1.78s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 10 RR)
% Number of literals : 16 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p_1_2(a,a),
file('SYN101-1.002.002.p',unknown),
[] ).
cnf(3,axiom,
( p_1_2(A,B)
| ~ q_2_2(A,B)
| ~ q_1_1(A,B) ),
file('SYN101-1.002.002.p',unknown),
[] ).
cnf(11,axiom,
( q_1_1(A,B)
| ~ nq_1(A)
| ~ nq_2(B) ),
file('SYN101-1.002.002.p',unknown),
[] ).
cnf(13,axiom,
( q_2_2(A,B)
| ~ nq_1(A)
| ~ nq_2(B) ),
file('SYN101-1.002.002.p',unknown),
[] ).
cnf(14,axiom,
nq_1(a),
file('SYN101-1.002.002.p',unknown),
[] ).
cnf(16,axiom,
nq_2(a),
file('SYN101-1.002.002.p',unknown),
[] ).
cnf(19,plain,
q_2_2(a,a),
inference(hyper,[status(thm)],[16,13,14]),
[iquote('hyper,16,13,14')] ).
cnf(23,plain,
q_1_1(a,a),
inference(hyper,[status(thm)],[16,11,14]),
[iquote('hyper,16,11,14')] ).
cnf(37,plain,
p_1_2(a,a),
inference(hyper,[status(thm)],[23,3,19]),
[iquote('hyper,23,3,19')] ).
cnf(38,plain,
$false,
inference(binary,[status(thm)],[37,1]),
[iquote('binary,37.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN101-1.002.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 11:26:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.57/1.78 ----- Otter 3.3f, August 2004 -----
% 1.57/1.78 The process was started by sandbox2 on n018.cluster.edu,
% 1.57/1.78 Wed Jul 27 11:26:01 2022
% 1.57/1.78 The command was "./otter". The process ID is 10968.
% 1.57/1.78
% 1.57/1.78 set(prolog_style_variables).
% 1.57/1.78 set(auto).
% 1.57/1.78 dependent: set(auto1).
% 1.57/1.78 dependent: set(process_input).
% 1.57/1.78 dependent: clear(print_kept).
% 1.57/1.78 dependent: clear(print_new_demod).
% 1.57/1.78 dependent: clear(print_back_demod).
% 1.57/1.78 dependent: clear(print_back_sub).
% 1.57/1.78 dependent: set(control_memory).
% 1.57/1.78 dependent: assign(max_mem, 12000).
% 1.57/1.78 dependent: assign(pick_given_ratio, 4).
% 1.57/1.78 dependent: assign(stats_level, 1).
% 1.57/1.78 dependent: assign(max_seconds, 10800).
% 1.57/1.78 clear(print_given).
% 1.57/1.78
% 1.57/1.78 list(usable).
% 1.57/1.78 0 [] -p_1_2(a,a).
% 1.57/1.78 0 [] p_1_2(X_1,X_2)| -p_2_2(X_1,X_2)| -p_1_1(X_1,X_2).
% 1.57/1.78 0 [] p_1_2(X_1,X_2)| -q_2_2(X_1,X_2)| -q_1_1(X_1,X_2).
% 1.57/1.78 0 [] q_1_2(X_1,X_2)| -p_2_2(X_1,X_2)| -q_1_1(X_1,X_2).
% 1.57/1.78 0 [] q_1_2(X_1,X_2)| -q_2_2(X_1,X_2)| -p_1_1(X_1,X_2).
% 1.57/1.78 0 [] p_1_1(X_1,X_2)| -p_1_2(X_1,X_2).
% 1.57/1.78 0 [] q_1_1(X_1,X_2)| -q_1_2(X_1,X_2).
% 1.57/1.78 0 [] p_2_2(X_1,X_2)| -p_1_2(X_1,X_2).
% 1.57/1.78 0 [] q_2_2(X_1,X_2)| -q_1_2(X_1,X_2).
% 1.57/1.78 0 [] p_1_1(X_1,X_2)| -nq_1(X_1)| -nq_2(X_2).
% 1.57/1.78 0 [] q_1_1(X_1,X_2)| -nq_1(X_1)| -nq_2(X_2).
% 1.57/1.78 0 [] p_2_2(X_1,X_2)| -nq_1(X_1)| -nq_2(X_2).
% 1.57/1.78 0 [] q_2_2(X_1,X_2)| -nq_1(X_1)| -nq_2(X_2).
% 1.57/1.78 0 [] nq_1(a).
% 1.57/1.78 0 [] nq_1(b).
% 1.57/1.78 0 [] nq_2(a).
% 1.57/1.78 0 [] nq_2(b).
% 1.57/1.78 end_of_list.
% 1.57/1.78
% 1.57/1.78 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.57/1.78
% 1.57/1.78 This is a Horn set without equality. The strategy will
% 1.57/1.78 be hyperresolution, with satellites in sos and nuclei
% 1.57/1.78 in usable.
% 1.57/1.78
% 1.57/1.78 dependent: set(hyper_res).
% 1.57/1.78 dependent: clear(order_hyper).
% 1.57/1.78
% 1.57/1.78 ------------> process usable:
% 1.57/1.78 ** KEPT (pick-wt=3): 1 [] -p_1_2(a,a).
% 1.57/1.78 ** KEPT (pick-wt=9): 2 [] p_1_2(A,B)| -p_2_2(A,B)| -p_1_1(A,B).
% 1.57/1.78 ** KEPT (pick-wt=9): 3 [] p_1_2(A,B)| -q_2_2(A,B)| -q_1_1(A,B).
% 1.57/1.78 ** KEPT (pick-wt=9): 4 [] q_1_2(A,B)| -p_2_2(A,B)| -q_1_1(A,B).
% 1.57/1.78 ** KEPT (pick-wt=9): 5 [] q_1_2(A,B)| -q_2_2(A,B)| -p_1_1(A,B).
% 1.57/1.78 ** KEPT (pick-wt=6): 6 [] p_1_1(A,B)| -p_1_2(A,B).
% 1.57/1.78 ** KEPT (pick-wt=6): 7 [] q_1_1(A,B)| -q_1_2(A,B).
% 1.57/1.78 ** KEPT (pick-wt=6): 8 [] p_2_2(A,B)| -p_1_2(A,B).
% 1.57/1.78 ** KEPT (pick-wt=6): 9 [] q_2_2(A,B)| -q_1_2(A,B).
% 1.57/1.78 ** KEPT (pick-wt=7): 10 [] p_1_1(A,B)| -nq_1(A)| -nq_2(B).
% 1.57/1.78 ** KEPT (pick-wt=7): 11 [] q_1_1(A,B)| -nq_1(A)| -nq_2(B).
% 1.57/1.78 ** KEPT (pick-wt=7): 12 [] p_2_2(A,B)| -nq_1(A)| -nq_2(B).
% 1.57/1.78 ** KEPT (pick-wt=7): 13 [] q_2_2(A,B)| -nq_1(A)| -nq_2(B).
% 1.57/1.78
% 1.57/1.78 ------------> process sos:
% 1.57/1.78 ** KEPT (pick-wt=2): 14 [] nq_1(a).
% 1.57/1.78 ** KEPT (pick-wt=2): 15 [] nq_1(b).
% 1.57/1.78 ** KEPT (pick-wt=2): 16 [] nq_2(a).
% 1.57/1.78 ** KEPT (pick-wt=2): 17 [] nq_2(b).
% 1.57/1.78
% 1.57/1.78 ======= end of input processing =======
% 1.57/1.78
% 1.57/1.78 =========== start of search ===========
% 1.57/1.78
% 1.57/1.78 -------- PROOF --------
% 1.57/1.78
% 1.57/1.78 ----> UNIT CONFLICT at 0.00 sec ----> 38 [binary,37.1,1.1] $F.
% 1.57/1.78
% 1.57/1.78 Length of proof is 3. Level of proof is 2.
% 1.57/1.78
% 1.57/1.78 ---------------- PROOF ----------------
% 1.57/1.78 % SZS status Unsatisfiable
% 1.57/1.78 % SZS output start Refutation
% See solution above
% 1.57/1.78 ------------ end of proof -------------
% 1.57/1.78
% 1.57/1.78
% 1.57/1.78 Search stopped by max_proofs option.
% 1.57/1.78
% 1.57/1.78
% 1.57/1.78 Search stopped by max_proofs option.
% 1.57/1.78
% 1.57/1.78 ============ end of search ============
% 1.57/1.78
% 1.57/1.78 -------------- statistics -------------
% 1.57/1.78 clauses given 10
% 1.57/1.78 clauses generated 20
% 1.57/1.78 clauses kept 37
% 1.57/1.78 clauses forward subsumed 0
% 1.57/1.78 clauses back subsumed 0
% 1.57/1.78 Kbytes malloced 976
% 1.57/1.78
% 1.57/1.78 ----------- times (seconds) -----------
% 1.57/1.78 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.57/1.78 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.57/1.78 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.57/1.78
% 1.57/1.78 That finishes the proof of the theorem.
% 1.57/1.78
% 1.57/1.78 Process 10968 finished Wed Jul 27 11:26:03 2022
% 1.57/1.78 Otter interrupted
% 1.57/1.78 PROOF FOUND
%------------------------------------------------------------------------------