TSTP Solution File: LCL034-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL034-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n016.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 13:03:21 EDT 2022
% Result : Unsatisfiable 1.81s 2.01s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of clauses : 32 ( 31 unt; 0 nHn; 3 RR)
% Number of literals : 34 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 91 ( 48 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('LCL034-1.p',unknown),
[] ).
cnf(2,axiom,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('LCL034-1.p',unknown),
[] ).
cnf(3,axiom,
is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,falsehood)),D),E),implies(implies(E,A),implies(C,A)))),
file('LCL034-1.p',unknown),
[] ).
cnf(4,plain,
is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),implies(B,D)),implies(E,implies(B,D)))),
inference(hyper,[status(thm)],[3,1,3]),
[iquote('hyper,3,1,3')] ).
cnf(6,plain,
is_a_theorem(implies(implies(implies(A,implies(falsehood,B)),C),implies(D,C))),
inference(hyper,[status(thm)],[4,1,3]),
[iquote('hyper,4,1,3')] ).
cnf(14,plain,
is_a_theorem(implies(A,implies(B,implies(falsehood,C)))),
inference(hyper,[status(thm)],[6,1,6]),
[iquote('hyper,6,1,6')] ).
cnf(23,plain,
is_a_theorem(implies(A,implies(falsehood,B))),
inference(hyper,[status(thm)],[14,1,14]),
[iquote('hyper,14,1,14')] ).
cnf(26,plain,
is_a_theorem(implies(implies(implies(falsehood,A),B),implies(C,B))),
inference(hyper,[status(thm)],[23,1,3]),
[iquote('hyper,23,1,3')] ).
cnf(28,plain,
is_a_theorem(implies(A,implies(B,implies(C,B)))),
inference(hyper,[status(thm)],[26,1,4]),
[iquote('hyper,26,1,4')] ).
cnf(29,plain,
is_a_theorem(implies(A,implies(B,A))),
inference(hyper,[status(thm)],[28,1,28]),
[iquote('hyper,28,1,28')] ).
cnf(33,plain,
is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,C),implies(D,falsehood)),E)),B),implies(D,B))),
inference(hyper,[status(thm)],[29,1,3]),
[iquote('hyper,29,1,3')] ).
cnf(62,plain,
is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(B,D),implies(A,falsehood)),C))),
inference(hyper,[status(thm)],[33,1,3]),
[iquote('hyper,33,1,3')] ).
cnf(122,plain,
is_a_theorem(implies(implies(implies(A,B),implies(C,falsehood)),implies(D,implies(C,A)))),
inference(hyper,[status(thm)],[62,1,29]),
[iquote('hyper,62,1,29')] ).
cnf(123,plain,
is_a_theorem(implies(implies(implies(A,B),implies(implies(falsehood,C),falsehood)),implies(D,A))),
inference(hyper,[status(thm)],[62,1,26]),
[iquote('hyper,62,1,26')] ).
cnf(134,plain,
is_a_theorem(implies(implies(implies(A,implies(B,C)),B),implies(D,B))),
inference(hyper,[status(thm)],[123,1,3]),
[iquote('hyper,123,1,3')] ).
cnf(139,plain,
is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))),
inference(hyper,[status(thm)],[134,1,3]),
[iquote('hyper,134,1,3')] ).
cnf(149,plain,
is_a_theorem(implies(implies(implies(implies(A,falsehood),B),C),implies(A,C))),
inference(hyper,[status(thm)],[139,1,3]),
[iquote('hyper,139,1,3')] ).
cnf(255,plain,
is_a_theorem(implies(implies(A,falsehood),implies(A,B))),
inference(hyper,[status(thm)],[149,1,149]),
[iquote('hyper,149,1,149')] ).
cnf(261,plain,
is_a_theorem(implies(implies(implies(A,B),A),implies(C,A))),
inference(hyper,[status(thm)],[149,1,3]),
[iquote('hyper,149,1,3')] ).
cnf(270,plain,
is_a_theorem(implies(A,implies(implies(A,falsehood),B))),
inference(hyper,[status(thm)],[255,1,149]),
[iquote('hyper,255,1,149')] ).
cnf(271,plain,
is_a_theorem(implies(A,implies(B,B))),
inference(hyper,[status(thm)],[255,1,122]),
[iquote('hyper,255,1,122')] ).
cnf(275,plain,
is_a_theorem(implies(A,A)),
inference(hyper,[status(thm)],[271,1,271]),
[iquote('hyper,271,1,271')] ).
cnf(280,plain,
is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))),
inference(hyper,[status(thm)],[271,1,3]),
[iquote('hyper,271,1,3')] ).
cnf(281,plain,
is_a_theorem(implies(implies(implies(A,B),implies(C,falsehood)),implies(C,A))),
inference(hyper,[status(thm)],[275,1,62]),
[iquote('hyper,275,1,62')] ).
cnf(292,plain,
is_a_theorem(implies(A,implies(implies(implies(implies(A,falsehood),B),falsehood),C))),
inference(hyper,[status(thm)],[270,1,149]),
[iquote('hyper,270,1,149')] ).
cnf(988,plain,
is_a_theorem(implies(implies(implies(implies(implies(A,B),falsehood),C),falsehood),A)),
inference(hyper,[status(thm)],[292,1,281]),
[iquote('hyper,292,1,281')] ).
cnf(1522,plain,
is_a_theorem(implies(implies(A,implies(A,B)),implies(C,implies(A,B)))),
inference(hyper,[status(thm)],[988,1,3]),
[iquote('hyper,988,1,3')] ).
cnf(1564,plain,
is_a_theorem(implies(A,implies(implies(implies(B,B),C),C))),
inference(hyper,[status(thm)],[1522,1,280]),
[iquote('hyper,1522,1,280')] ).
cnf(1566,plain,
is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))),
inference(hyper,[status(thm)],[1522,1,261]),
[iquote('hyper,1522,1,261')] ).
cnf(1585,plain,
is_a_theorem(implies(implies(implies(A,A),B),B)),
inference(hyper,[status(thm)],[1564,1,1564]),
[iquote('hyper,1564,1,1564')] ).
cnf(1621,plain,
is_a_theorem(implies(implies(implies(A,B),A),A)),
inference(hyper,[status(thm)],[1566,1,1585]),
[iquote('hyper,1566,1,1585')] ).
cnf(1622,plain,
$false,
inference(binary,[status(thm)],[1621,2]),
[iquote('binary,1621.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL034-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 09:43:52 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.81/2.01 ----- Otter 3.3f, August 2004 -----
% 1.81/2.01 The process was started by sandbox2 on n016.cluster.edu,
% 1.81/2.01 Wed Jul 27 09:43:52 2022
% 1.81/2.01 The command was "./otter". The process ID is 31006.
% 1.81/2.01
% 1.81/2.01 set(prolog_style_variables).
% 1.81/2.01 set(auto).
% 1.81/2.01 dependent: set(auto1).
% 1.81/2.01 dependent: set(process_input).
% 1.81/2.01 dependent: clear(print_kept).
% 1.81/2.01 dependent: clear(print_new_demod).
% 1.81/2.01 dependent: clear(print_back_demod).
% 1.81/2.01 dependent: clear(print_back_sub).
% 1.81/2.01 dependent: set(control_memory).
% 1.81/2.01 dependent: assign(max_mem, 12000).
% 1.81/2.01 dependent: assign(pick_given_ratio, 4).
% 1.81/2.01 dependent: assign(stats_level, 1).
% 1.81/2.01 dependent: assign(max_seconds, 10800).
% 1.81/2.01 clear(print_given).
% 1.81/2.01
% 1.81/2.01 list(usable).
% 1.81/2.01 0 [] -is_a_theorem(implies(X,Y))| -is_a_theorem(X)|is_a_theorem(Y).
% 1.81/2.01 0 [] is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),U),V),implies(implies(V,X),implies(Z,X)))).
% 1.81/2.01 0 [] -is_a_theorem(implies(implies(implies(a,b),a),a)).
% 1.81/2.01 end_of_list.
% 1.81/2.01
% 1.81/2.01 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.81/2.01
% 1.81/2.01 This is a Horn set without equality. The strategy will
% 1.81/2.01 be hyperresolution, with satellites in sos and nuclei
% 1.81/2.01 in usable.
% 1.81/2.01
% 1.81/2.01 dependent: set(hyper_res).
% 1.81/2.01 dependent: clear(order_hyper).
% 1.81/2.01
% 1.81/2.01 ------------> process usable:
% 1.81/2.01 ** KEPT (pick-wt=8): 1 [] -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 1.81/2.01 ** KEPT (pick-wt=8): 2 [] -is_a_theorem(implies(implies(implies(a,b),a),a)).
% 1.81/2.01
% 1.81/2.01 ------------> process sos:
% 1.81/2.01 ** KEPT (pick-wt=20): 3 [] is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,falsehood)),D),E),implies(implies(E,A),implies(C,A)))).
% 1.81/2.01
% 1.81/2.01 ======= end of input processing =======
% 1.81/2.01
% 1.81/2.01 =========== start of search ===========
% 1.81/2.01
% 1.81/2.01 -------- PROOF --------
% 1.81/2.01
% 1.81/2.01 ----> UNIT CONFLICT at 0.12 sec ----> 1622 [binary,1621.1,2.1] $F.
% 1.81/2.01
% 1.81/2.01 Length of proof is 28. Level of proof is 22.
% 1.81/2.01
% 1.81/2.01 ---------------- PROOF ----------------
% 1.81/2.01 % SZS status Unsatisfiable
% 1.81/2.01 % SZS output start Refutation
% See solution above
% 1.81/2.01 ------------ end of proof -------------
% 1.81/2.01
% 1.81/2.01
% 1.81/2.01 Search stopped by max_proofs option.
% 1.81/2.01
% 1.81/2.01
% 1.81/2.01 Search stopped by max_proofs option.
% 1.81/2.01
% 1.81/2.01 ============ end of search ============
% 1.81/2.01
% 1.81/2.01 -------------- statistics -------------
% 1.81/2.01 clauses given 137
% 1.81/2.01 clauses generated 12315
% 1.81/2.01 clauses kept 1621
% 1.81/2.01 clauses forward subsumed 10697
% 1.81/2.01 clauses back subsumed 73
% 1.81/2.01 Kbytes malloced 1953
% 1.81/2.01
% 1.81/2.01 ----------- times (seconds) -----------
% 1.81/2.01 user CPU time 0.12 (0 hr, 0 min, 0 sec)
% 1.81/2.01 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.81/2.01 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.81/2.01
% 1.81/2.01 That finishes the proof of the theorem.
% 1.81/2.01
% 1.81/2.01 Process 31006 finished Wed Jul 27 09:43:54 2022
% 1.81/2.01 Otter interrupted
% 1.81/2.01 PROOF FOUND
%------------------------------------------------------------------------------