TSTP Solution File: SYN341-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN341-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n006.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 13:24:18 EDT 2022
% Result : Unsatisfiable 1.76s 2.00s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 2
% Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 2 RR)
% Number of literals : 3 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% Number of variables : 4 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ f(y2(A),B,y4(A,B)),
file('SYN341-1.p',unknown),
[] ).
cnf(2,axiom,
f(A,y2(A),B),
file('SYN341-1.p',unknown),
[] ).
cnf(3,plain,
$false,
inference(binary,[status(thm)],[2,1]),
[iquote('binary,2.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN341-1 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.11/0.33 % Computer : n006.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Jul 27 10:58:01 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.76/2.00
% 1.76/2.00 -------- PROOF --------
% 1.76/2.00 ----- Otter 3.3f, August 2004 -----
% 1.76/2.00 The process was started by sandbox2 on n006.cluster.edu,
% 1.76/2.00 Wed Jul 27 10:58:02 2022
% 1.76/2.00 The command was "./otter". The process ID is 20692.
% 1.76/2.00
% 1.76/2.00 set(prolog_style_variables).
% 1.76/2.00 set(auto).
% 1.76/2.00 dependent: set(auto1).
% 1.76/2.00 dependent: set(process_input).
% 1.76/2.00 dependent: clear(print_kept).
% 1.76/2.00 dependent: clear(print_new_demod).
% 1.76/2.00 dependent: clear(print_back_demod).
% 1.76/2.00 dependent: clear(print_back_sub).
% 1.76/2.00 dependent: set(control_memory).
% 1.76/2.00 dependent: assign(max_mem, 12000).
% 1.76/2.00 dependent: assign(pick_given_ratio, 4).
% 1.76/2.00 dependent: assign(stats_level, 1).
% 1.76/2.00 dependent: assign(max_seconds, 10800).
% 1.76/2.00 clear(print_given).
% 1.76/2.00
% 1.76/2.00 list(usable).
% 1.76/2.00 0 [] f(Y1,y2(Y1),Y3).
% 1.76/2.00 0 [] -f(y2(Y1),Y3,y4(Y1,Y3)).
% 1.76/2.00 end_of_list.
% 1.76/2.00
% 1.76/2.00 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=1.
% 1.76/2.00
% 1.76/2.00 This is a Horn set without equality. The strategy will
% 1.76/2.00 be hyperresolution, with satellites in sos and nuclei
% 1.76/2.00 in usable.
% 1.76/2.00
% 1.76/2.00 dependent: set(hyper_res).
% 1.76/2.00 dependent: clear(order_hyper).
% 1.76/2.00
% 1.76/2.00 ------------> process usable:
% 1.76/2.00 ** KEPT (pick-wt=7): 1 [] -f(y2(A),B,y4(A,B)).
% 1.76/2.00
% 1.76/2.00 ------------> process sos:
% 1.76/2.00 ** KEPT (pick-wt=5): 2 [] f(A,y2(A),B).
% 1.76/2.00
% 1.76/2.00 ----> UNIT CONFLICT at 0.00 sec ----> 3 [binary,2.1,1.1] $F.
% 1.76/2.00
% 1.76/2.00 Length of proof is 0. Level of proof is 0.
% 1.76/2.00
% 1.76/2.00 ---------------- PROOF ----------------
% 1.76/2.00 % SZS status Unsatisfiable
% 1.76/2.00 % SZS output start Refutation
% See solution above
% 1.76/2.00 ------------ end of proof -------------
% 1.76/2.00
% 1.76/2.00
% 1.76/2.00 Search stopped by max_proofs option.
% 1.76/2.00
% 1.76/2.00
% 1.76/2.00 Search stopped by max_proofs option.
% 1.76/2.00
% 1.76/2.00 ============ end of search ============
% 1.76/2.00
% 1.76/2.00 -------------- statistics -------------
% 1.76/2.00 clauses given 0
% 1.76/2.00 clauses generated 0
% 1.76/2.00 clauses kept 2
% 1.76/2.00 clauses forward subsumed 0
% 1.76/2.00 clauses back subsumed 0
% 1.76/2.00 Kbytes malloced 976
% 1.76/2.00
% 1.76/2.00 ----------- times (seconds) -----------
% 1.76/2.00 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.76/2.00 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.76/2.00 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.76/2.00
% 1.76/2.00 That finishes the proof of the theorem.
% 1.76/2.00
% 1.76/2.00 Process 20692 finished Wed Jul 27 10:58:03 2022
% 1.76/2.00 Otter interrupted
% 1.76/2.00 PROOF FOUND
%------------------------------------------------------------------------------