TSTP Solution File: SYN095-1.002 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN095-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n015.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 13:23:33 EDT 2022
% Result : Unsatisfiable 1.96s 2.16s
% Output : Refutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 2 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p_1_2(A),
file('SYN095-1.002.p',unknown),
[] ).
cnf(2,axiom,
( p_1_2(A)
| ~ p_2_2(A)
| ~ p_1_1(A) ),
file('SYN095-1.002.p',unknown),
[] ).
cnf(8,axiom,
p_1_1(a),
file('SYN095-1.002.p',unknown),
[] ).
cnf(10,axiom,
p_2_2(a),
file('SYN095-1.002.p',unknown),
[] ).
cnf(13,plain,
p_1_2(a),
inference(hyper,[status(thm)],[10,2,8]),
[iquote('hyper,10,2,8')] ).
cnf(14,plain,
$false,
inference(binary,[status(thm)],[13,1]),
[iquote('binary,13.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN095-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 11:32:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.96/2.16 ----- Otter 3.3f, August 2004 -----
% 1.96/2.16 The process was started by sandbox2 on n015.cluster.edu,
% 1.96/2.16 Wed Jul 27 11:32:27 2022
% 1.96/2.16 The command was "./otter". The process ID is 5331.
% 1.96/2.16
% 1.96/2.16 set(prolog_style_variables).
% 1.96/2.16 set(auto).
% 1.96/2.16 dependent: set(auto1).
% 1.96/2.16 dependent: set(process_input).
% 1.96/2.16 dependent: clear(print_kept).
% 1.96/2.16 dependent: clear(print_new_demod).
% 1.96/2.16 dependent: clear(print_back_demod).
% 1.96/2.16 dependent: clear(print_back_sub).
% 1.96/2.16 dependent: set(control_memory).
% 1.96/2.16 dependent: assign(max_mem, 12000).
% 1.96/2.16 dependent: assign(pick_given_ratio, 4).
% 1.96/2.16 dependent: assign(stats_level, 1).
% 1.96/2.16 dependent: assign(max_seconds, 10800).
% 1.96/2.16 clear(print_given).
% 1.96/2.16
% 1.96/2.16 list(usable).
% 1.96/2.16 0 [] -p_1_2(X).
% 1.96/2.16 0 [] p_1_2(X)| -p_2_2(X)| -p_1_1(X).
% 1.96/2.16 0 [] p_1_2(X)| -q_2_2(X)| -q_1_1(X).
% 1.96/2.16 0 [] q_1_2(X)| -p_2_2(X)| -q_1_1(X).
% 1.96/2.16 0 [] q_1_2(X)| -q_2_2(X)| -p_1_1(X).
% 1.96/2.16 0 [] p_1_1(X)| -p_1_2(X).
% 1.96/2.16 0 [] q_1_1(X)| -q_1_2(X).
% 1.96/2.16 0 [] p_2_2(X)| -p_1_2(X).
% 1.96/2.16 0 [] q_2_2(X)| -q_1_2(X).
% 1.96/2.16 0 [] p_1_1(a).
% 1.96/2.16 0 [] q_1_1(a).
% 1.96/2.16 0 [] p_2_2(a).
% 1.96/2.16 0 [] q_2_2(a).
% 1.96/2.16 end_of_list.
% 1.96/2.16
% 1.96/2.16 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.96/2.16
% 1.96/2.16 This is a Horn set without equality. The strategy will
% 1.96/2.16 be hyperresolution, with satellites in sos and nuclei
% 1.96/2.16 in usable.
% 1.96/2.16
% 1.96/2.16 dependent: set(hyper_res).
% 1.96/2.16 dependent: clear(order_hyper).
% 1.96/2.16
% 1.96/2.16 ------------> process usable:
% 1.96/2.16 ** KEPT (pick-wt=2): 1 [] -p_1_2(A).
% 1.96/2.16 ** KEPT (pick-wt=6): 2 [] p_1_2(A)| -p_2_2(A)| -p_1_1(A).
% 1.96/2.16 ** KEPT (pick-wt=6): 3 [] p_1_2(A)| -q_2_2(A)| -q_1_1(A).
% 1.96/2.16 ** KEPT (pick-wt=6): 4 [] q_1_2(A)| -p_2_2(A)| -q_1_1(A).
% 1.96/2.16 ** KEPT (pick-wt=6): 5 [] q_1_2(A)| -q_2_2(A)| -p_1_1(A).
% 1.96/2.16 Following clause subsumed by 1 during input processing: 0 [] p_1_1(A)| -p_1_2(A).
% 1.96/2.16 ** KEPT (pick-wt=4): 6 [] q_1_1(A)| -q_1_2(A).
% 1.96/2.16 Following clause subsumed by 1 during input processing: 0 [] p_2_2(A)| -p_1_2(A).
% 1.96/2.16 ** KEPT (pick-wt=4): 7 [] q_2_2(A)| -q_1_2(A).
% 1.96/2.16
% 1.96/2.16 ------------> process sos:
% 1.96/2.16 ** KEPT (pick-wt=2): 8 [] p_1_1(a).
% 1.96/2.16 ** KEPT (pick-wt=2): 9 [] q_1_1(a).
% 1.96/2.16 ** KEPT (pick-wt=2): 10 [] p_2_2(a).
% 1.96/2.16 ** KEPT (pick-wt=2): 11 [] q_2_2(a).
% 1.96/2.16
% 1.96/2.16 ======= end of input processing =======
% 1.96/2.16
% 1.96/2.16 =========== start of search ===========
% 1.96/2.16
% 1.96/2.16 -------- PROOF --------
% 1.96/2.16
% 1.96/2.16 ----> UNIT CONFLICT at 0.00 sec ----> 14 [binary,13.1,1.1] $F.
% 1.96/2.16
% 1.96/2.16 Length of proof is 1. Level of proof is 1.
% 1.96/2.16
% 1.96/2.16 ---------------- PROOF ----------------
% 1.96/2.16 % SZS status Unsatisfiable
% 1.96/2.16 % SZS output start Refutation
% See solution above
% 1.96/2.16 ------------ end of proof -------------
% 1.96/2.16
% 1.96/2.16
% 1.96/2.16 Search stopped by max_proofs option.
% 1.96/2.16
% 1.96/2.16
% 1.96/2.16 Search stopped by max_proofs option.
% 1.96/2.16
% 1.96/2.16 ============ end of search ============
% 1.96/2.16
% 1.96/2.16 -------------- statistics -------------
% 1.96/2.16 clauses given 3
% 1.96/2.16 clauses generated 2
% 1.96/2.16 clauses kept 13
% 1.96/2.16 clauses forward subsumed 2
% 1.96/2.16 clauses back subsumed 0
% 1.96/2.16 Kbytes malloced 976
% 1.96/2.16
% 1.96/2.16 ----------- times (seconds) -----------
% 1.96/2.16 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.96/2.16 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.96/2.16 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.96/2.16
% 1.96/2.16 That finishes the proof of the theorem.
% 1.96/2.16
% 1.96/2.16 Process 5331 finished Wed Jul 27 11:32:29 2022
% 1.96/2.16 Otter interrupted
% 1.96/2.16 PROOF FOUND
%------------------------------------------------------------------------------