TSTP Solution File: GRP127-1.004 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP127-1.004 : TPTP v8.1.0. Released v1.2.0.
% 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 12:56:11 EDT 2022
% Result : Unsatisfiable 1.60s 1.78s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of clauses : 39 ( 15 unt; 21 nHn; 38 RR)
% Number of literals : 83 ( 0 equ; 14 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ e_qualish(e_1,e_2),
file('GRP127-1.004.p',unknown),
[] ).
cnf(2,axiom,
~ e_qualish(e_1,e_3),
file('GRP127-1.004.p',unknown),
[] ).
cnf(4,axiom,
~ e_qualish(e_2,e_1),
file('GRP127-1.004.p',unknown),
[] ).
cnf(5,axiom,
~ e_qualish(e_2,e_3),
file('GRP127-1.004.p',unknown),
[] ).
cnf(7,axiom,
~ e_qualish(e_3,e_1),
file('GRP127-1.004.p',unknown),
[] ).
cnf(8,axiom,
~ e_qualish(e_3,e_2),
file('GRP127-1.004.p',unknown),
[] ).
cnf(13,axiom,
( ~ group_element(A)
| ~ group_element(B)
| product(A,B,e_1)
| product(A,B,e_2)
| product(A,B,e_3)
| product(A,B,e_4) ),
file('GRP127-1.004.p',unknown),
[] ).
cnf(15,axiom,
( ~ product(A,B,C)
| ~ product(A,D,C)
| e_qualish(B,D) ),
file('GRP127-1.004.p',unknown),
[] ).
cnf(16,axiom,
( ~ product(A,B,C)
| ~ product(D,B,C)
| e_qualish(A,D) ),
file('GRP127-1.004.p',unknown),
[] ).
cnf(17,axiom,
( ~ product(A,B,C)
| ~ product(C,A,D)
| product(D,A,B) ),
file('GRP127-1.004.p',unknown),
[] ).
cnf(22,axiom,
group_element(e_1),
file('GRP127-1.004.p',unknown),
[] ).
cnf(23,axiom,
group_element(e_2),
file('GRP127-1.004.p',unknown),
[] ).
cnf(24,axiom,
group_element(e_3),
file('GRP127-1.004.p',unknown),
[] ).
cnf(26,axiom,
product(A,A,A),
file('GRP127-1.004.p',unknown),
[] ).
cnf(27,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(hyper,[status(thm)],[23,13,22]),
[iquote('hyper,23,13,22')] ).
cnf(28,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(hyper,[status(thm)],[23,13,22]),
[iquote('hyper,23,13,22')] ).
cnf(29,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(hyper,[status(thm)],[24,13,23]),
[iquote('hyper,24,13,23')] ).
cnf(30,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(hyper,[status(thm)],[24,13,22]),
[iquote('hyper,24,13,22')] ).
cnf(41,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[27,15,26]),1]),
[iquote('hyper,27,15,26,unit_del,1')] ).
cnf(43,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[41,16,26]),4]),
[iquote('hyper,41,16,26,unit_del,4')] ).
cnf(46,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[28,16,26]),1]),
[iquote('hyper,28,16,26,unit_del,1')] ).
cnf(52,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[29,15,26]),5]),
[iquote('hyper,29,15,26,unit_del,5')] ).
cnf(55,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[46,15,26]),4]),
[iquote('hyper,46,15,26,unit_del,4')] ).
cnf(58,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[52,16,26]),8]),
[iquote('hyper,52,16,26,unit_del,8')] ).
cnf(61,plain,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(hyper,[status(thm)],[58,17,43]),
[iquote('hyper,58,17,43')] ).
cnf(62,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_1,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[58,15,55]),2]),
[iquote('hyper,58,15,55,unit_del,2')] ).
cnf(65,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[30,15,26]),2]),
[iquote('hyper,30,15,26,unit_del,2')] ).
cnf(79,plain,
( product(e_2,e_3,e_4)
| product(e_1,e_2,e_4) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[61,16,43]),2])]),
[iquote('hyper,61,16,43,unit_del,2,factor_simp')] ).
cnf(80,plain,
( product(e_1,e_2,e_4)
| product(e_2,e_1,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[79,15,55]),2]),
[iquote('hyper,79,15,55,unit_del,2')] ).
cnf(101,plain,
( product(e_2,e_1,e_3)
| product(e_4,e_2,e_3) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[80,17,62])]),
[iquote('hyper,80,17,62,factor_simp')] ).
cnf(103,plain,
( product(e_2,e_1,e_3)
| product(e_3,e_2,e_1) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[101,17,55])]),
[iquote('hyper,101,17,55,factor_simp')] ).
cnf(129,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[65,16,26]),7]),
[iquote('hyper,65,16,26,unit_del,7')] ).
cnf(146,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[129,16,79]),4]),
[iquote('hyper,129,16,79,unit_del,4')] ).
cnf(155,plain,
product(e_1,e_3,e_2),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[146,15,129]),8])]),
[iquote('hyper,146,15,129,unit_del,8,factor_simp')] ).
cnf(173,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_1,e_3) ),
inference(hyper,[status(thm)],[155,17,103]),
[iquote('hyper,155,17,103')] ).
cnf(196,plain,
product(e_2,e_1,e_3),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[173,16,155]),1]),
[iquote('hyper,173,16,155,unit_del,1')] ).
cnf(198,plain,
product(e_3,e_1,e_3),
inference(hyper,[status(thm)],[196,17,155]),
[iquote('hyper,196,17,155')] ).
cnf(200,plain,
e_qualish(e_2,e_3),
inference(hyper,[status(thm)],[198,16,196]),
[iquote('hyper,198,16,196')] ).
cnf(201,plain,
$false,
inference(binary,[status(thm)],[200,5]),
[iquote('binary,200.1,5.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP127-1.004 : TPTP v8.1.0. Released v1.2.0.
% 0.09/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n016.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 05:19:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.60/1.78 ----- Otter 3.3f, August 2004 -----
% 1.60/1.78 The process was started by sandbox2 on n016.cluster.edu,
% 1.60/1.78 Wed Jul 27 05:19:22 2022
% 1.60/1.78 The command was "./otter". The process ID is 24202.
% 1.60/1.78
% 1.60/1.78 set(prolog_style_variables).
% 1.60/1.78 set(auto).
% 1.60/1.78 dependent: set(auto1).
% 1.60/1.78 dependent: set(process_input).
% 1.60/1.78 dependent: clear(print_kept).
% 1.60/1.78 dependent: clear(print_new_demod).
% 1.60/1.78 dependent: clear(print_back_demod).
% 1.60/1.78 dependent: clear(print_back_sub).
% 1.60/1.78 dependent: set(control_memory).
% 1.60/1.78 dependent: assign(max_mem, 12000).
% 1.60/1.78 dependent: assign(pick_given_ratio, 4).
% 1.60/1.78 dependent: assign(stats_level, 1).
% 1.60/1.78 dependent: assign(max_seconds, 10800).
% 1.60/1.78 clear(print_given).
% 1.60/1.78
% 1.60/1.78 list(usable).
% 1.60/1.78 0 [] group_element(e_1).
% 1.60/1.78 0 [] group_element(e_2).
% 1.60/1.78 0 [] group_element(e_3).
% 1.60/1.78 0 [] group_element(e_4).
% 1.60/1.78 0 [] -e_qualish(e_1,e_2).
% 1.60/1.78 0 [] -e_qualish(e_1,e_3).
% 1.60/1.78 0 [] -e_qualish(e_1,e_4).
% 1.60/1.78 0 [] -e_qualish(e_2,e_1).
% 1.60/1.78 0 [] -e_qualish(e_2,e_3).
% 1.60/1.78 0 [] -e_qualish(e_2,e_4).
% 1.60/1.78 0 [] -e_qualish(e_3,e_1).
% 1.60/1.78 0 [] -e_qualish(e_3,e_2).
% 1.60/1.78 0 [] -e_qualish(e_3,e_4).
% 1.60/1.78 0 [] -e_qualish(e_4,e_1).
% 1.60/1.78 0 [] -e_qualish(e_4,e_2).
% 1.60/1.78 0 [] -e_qualish(e_4,e_3).
% 1.60/1.78 0 [] -group_element(X)| -group_element(Y)|product(X,Y,e_1)|product(X,Y,e_2)|product(X,Y,e_3)|product(X,Y,e_4).
% 1.60/1.78 0 [] -product(X,Y,W)| -product(X,Y,Z)|e_qualish(W,Z).
% 1.60/1.78 0 [] -product(X,W,Y)| -product(X,Z,Y)|e_qualish(W,Z).
% 1.60/1.78 0 [] -product(W,Y,X)| -product(Z,Y,X)|e_qualish(W,Z).
% 1.60/1.78 0 [] product(X,X,X).
% 1.60/1.78 0 [] -product(Y,X,Z1)| -product(Z1,Y,Z2)|product(Z2,Y,X).
% 1.60/1.78 end_of_list.
% 1.60/1.78
% 1.60/1.78 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.60/1.78
% 1.60/1.78 This is a non-Horn set without equality. The strategy will
% 1.60/1.78 be ordered hyper_res, unit deletion, and factoring, with
% 1.60/1.78 satellites in sos and with nuclei in usable.
% 1.60/1.78
% 1.60/1.78 dependent: set(hyper_res).
% 1.60/1.78 dependent: set(factor).
% 1.60/1.78 dependent: set(unit_deletion).
% 1.60/1.78
% 1.60/1.78 ------------> process usable:
% 1.60/1.78 ** KEPT (pick-wt=3): 1 [] -e_qualish(e_1,e_2).
% 1.60/1.78 ** KEPT (pick-wt=3): 2 [] -e_qualish(e_1,e_3).
% 1.60/1.78 ** KEPT (pick-wt=3): 3 [] -e_qualish(e_1,e_4).
% 1.60/1.78 ** KEPT (pick-wt=3): 4 [] -e_qualish(e_2,e_1).
% 1.60/1.78 ** KEPT (pick-wt=3): 5 [] -e_qualish(e_2,e_3).
% 1.60/1.78 ** KEPT (pick-wt=3): 6 [] -e_qualish(e_2,e_4).
% 1.60/1.78 ** KEPT (pick-wt=3): 7 [] -e_qualish(e_3,e_1).
% 1.60/1.78 ** KEPT (pick-wt=3): 8 [] -e_qualish(e_3,e_2).
% 1.60/1.78 ** KEPT (pick-wt=3): 9 [] -e_qualish(e_3,e_4).
% 1.60/1.78 ** KEPT (pick-wt=3): 10 [] -e_qualish(e_4,e_1).
% 1.60/1.78 ** KEPT (pick-wt=3): 11 [] -e_qualish(e_4,e_2).
% 1.60/1.78 ** KEPT (pick-wt=3): 12 [] -e_qualish(e_4,e_3).
% 1.60/1.78 ** KEPT (pick-wt=20): 13 [] -group_element(A)| -group_element(B)|product(A,B,e_1)|product(A,B,e_2)|product(A,B,e_3)|product(A,B,e_4).
% 1.60/1.78 ** KEPT (pick-wt=11): 14 [] -product(A,B,C)| -product(A,B,D)|e_qualish(C,D).
% 1.60/1.78 ** KEPT (pick-wt=11): 15 [] -product(A,B,C)| -product(A,D,C)|e_qualish(B,D).
% 1.60/1.78 ** KEPT (pick-wt=11): 16 [] -product(A,B,C)| -product(D,B,C)|e_qualish(A,D).
% 1.60/1.78 ** KEPT (pick-wt=12): 17 [] -product(A,B,C)| -product(C,A,D)|product(D,A,B).
% 1.60/1.78
% 1.60/1.78 ------------> process sos:
% 1.60/1.78 ** KEPT (pick-wt=2): 22 [] group_element(e_1).
% 1.60/1.78 ** KEPT (pick-wt=2): 23 [] group_element(e_2).
% 1.60/1.78 ** KEPT (pick-wt=2): 24 [] group_element(e_3).
% 1.60/1.78 ** KEPT (pick-wt=2): 25 [] group_element(e_4).
% 1.60/1.78 ** KEPT (pick-wt=4): 26 [] product(A,A,A).
% 1.60/1.78
% 1.60/1.78 ======= end of input processing =======
% 1.60/1.78
% 1.60/1.78 =========== start of search ===========
% 1.60/1.78
% 1.60/1.78 -------- PROOF --------
% 1.60/1.78
% 1.60/1.78 ----> UNIT CONFLICT at 0.02 sec ----> 201 [binary,200.1,5.1] $F.
% 1.60/1.78
% 1.60/1.78 Length of proof is 24. Level of proof is 12.
% 1.60/1.78
% 1.60/1.78 ---------------- PROOF ----------------
% 1.60/1.78 % SZS status Unsatisfiable
% 1.60/1.78 % SZS output start Refutation
% See solution above
% 1.60/1.78 ------------ end of proof -------------
% 1.60/1.78
% 1.60/1.78
% 1.60/1.78 Search stopped by max_proofs option.
% 1.60/1.78
% 1.60/1.78
% 1.60/1.78 Search stopped by max_proofs option.
% 1.60/1.78
% 1.60/1.78 ============ end of search ============
% 1.60/1.78
% 1.60/1.78 -------------- statistics -------------
% 1.60/1.78 clauses given 39
% 1.60/1.78 clauses generated 1380
% 1.60/1.78 clauses kept 200
% 1.60/1.78 clauses forward subsumed 1201
% 1.60/1.78 clauses back subsumed 144
% 1.60/1.78 Kbytes malloced 976
% 1.60/1.78
% 1.60/1.78 ----------- times (seconds) -----------
% 1.60/1.78 user CPU time 0.02 (0 hr, 0 min, 0 sec)
% 1.60/1.78 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.60/1.78 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.60/1.78
% 1.60/1.78 That finishes the proof of the theorem.
% 1.60/1.78
% 1.60/1.78 Process 24202 finished Wed Jul 27 05:19:23 2022
% 1.60/1.78 Otter interrupted
% 1.60/1.78 PROOF FOUND
%------------------------------------------------------------------------------