TSTP Solution File: GRP045-2 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP045-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n023.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 12:55:57 EDT 2022
% Result : Unsatisfiable 1.93s 2.10s
% Output : Refutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 11 unt; 0 nHn; 10 RR)
% Number of literals : 22 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ product(A,B,C)
| ~ product(B,D,E)
| ~ product(C,D,F)
| product(A,E,F) ),
file('GRP045-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ product(A,B,C)
| ~ product(B,D,E)
| ~ product(A,E,F)
| product(C,D,F) ),
file('GRP045-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ e_qualish(A,B)
| ~ product(C,D,A)
| product(C,D,B) ),
file('GRP045-2.p',unknown),
[] ).
cnf(5,axiom,
~ product(c,b,result),
file('GRP045-2.p',unknown),
[] ).
cnf(6,axiom,
product(identity,A,A),
file('GRP045-2.p',unknown),
[] ).
cnf(7,axiom,
product(inverse(A),A,identity),
file('GRP045-2.p',unknown),
[] ).
cnf(9,axiom,
e_qualish(a,b),
file('GRP045-2.p',unknown),
[] ).
cnf(10,axiom,
product(c,a,result),
file('GRP045-2.p',unknown),
[] ).
cnf(12,plain,
product(identity,a,b),
inference(hyper,[status(thm)],[9,4,6]),
[iquote('hyper,9,4,6')] ).
cnf(13,plain,
product(identity,b,a),
inference(hyper,[status(thm)],[12,2,6,6]),
[iquote('hyper,12,2,6,6')] ).
cnf(16,plain,
product(inverse(inverse(A)),identity,A),
inference(hyper,[status(thm)],[7,2,7,6]),
[iquote('hyper,7,2,7,6')] ).
cnf(338,plain,
product(A,identity,A),
inference(hyper,[status(thm)],[16,3,16,6]),
[iquote('hyper,16,3,16,6')] ).
cnf(420,plain,
product(c,b,result),
inference(hyper,[status(thm)],[338,3,13,10]),
[iquote('hyper,338,3,13,10')] ).
cnf(421,plain,
$false,
inference(binary,[status(thm)],[420,5]),
[iquote('binary,420.1,5.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP045-2 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n023.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 05:48:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.93/2.10 ----- Otter 3.3f, August 2004 -----
% 1.93/2.10 The process was started by sandbox on n023.cluster.edu,
% 1.93/2.10 Wed Jul 27 05:48:03 2022
% 1.93/2.10 The command was "./otter". The process ID is 29860.
% 1.93/2.10
% 1.93/2.10 set(prolog_style_variables).
% 1.93/2.10 set(auto).
% 1.93/2.10 dependent: set(auto1).
% 1.93/2.10 dependent: set(process_input).
% 1.93/2.10 dependent: clear(print_kept).
% 1.93/2.10 dependent: clear(print_new_demod).
% 1.93/2.10 dependent: clear(print_back_demod).
% 1.93/2.10 dependent: clear(print_back_sub).
% 1.93/2.10 dependent: set(control_memory).
% 1.93/2.10 dependent: assign(max_mem, 12000).
% 1.93/2.10 dependent: assign(pick_given_ratio, 4).
% 1.93/2.10 dependent: assign(stats_level, 1).
% 1.93/2.10 dependent: assign(max_seconds, 10800).
% 1.93/2.10 clear(print_given).
% 1.93/2.10
% 1.93/2.10 list(usable).
% 1.93/2.10 0 [] product(identity,X,X).
% 1.93/2.10 0 [] product(inverse(X),X,identity).
% 1.93/2.10 0 [] product(X,Y,multiply(X,Y)).
% 1.93/2.10 0 [] -product(X,Y,Z)| -product(X,Y,W)|e_qualish(Z,W).
% 1.93/2.10 0 [] -product(X,Y,U)| -product(Y,Z,V)| -product(U,Z,W)|product(X,V,W).
% 1.93/2.10 0 [] -product(X,Y,U)| -product(Y,Z,V)| -product(X,V,W)|product(U,Z,W).
% 1.93/2.10 0 [] -e_qualish(X,Y)| -product(W,Z,X)|product(W,Z,Y).
% 1.93/2.10 0 [] e_qualish(a,b).
% 1.93/2.10 0 [] product(c,a,result).
% 1.93/2.10 0 [] -product(c,b,result).
% 1.93/2.10 end_of_list.
% 1.93/2.10
% 1.93/2.10 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.93/2.10
% 1.93/2.10 This is a Horn set without equality. The strategy will
% 1.93/2.10 be hyperresolution, with satellites in sos and nuclei
% 1.93/2.10 in usable.
% 1.93/2.10
% 1.93/2.10 dependent: set(hyper_res).
% 1.93/2.10 dependent: clear(order_hyper).
% 1.93/2.10
% 1.93/2.10 ------------> process usable:
% 1.93/2.10 ** KEPT (pick-wt=11): 1 [] -product(A,B,C)| -product(A,B,D)|e_qualish(C,D).
% 1.93/2.10 ** KEPT (pick-wt=16): 2 [] -product(A,B,C)| -product(B,D,E)| -product(C,D,F)|product(A,E,F).
% 1.93/2.10 ** KEPT (pick-wt=16): 3 [] -product(A,B,C)| -product(B,D,E)| -product(A,E,F)|product(C,D,F).
% 1.93/2.10 ** KEPT (pick-wt=11): 4 [] -e_qualish(A,B)| -product(C,D,A)|product(C,D,B).
% 1.93/2.10 ** KEPT (pick-wt=4): 5 [] -product(c,b,result).
% 1.93/2.10
% 1.93/2.10 ------------> process sos:
% 1.93/2.10 ** KEPT (pick-wt=4): 6 [] product(identity,A,A).
% 1.93/2.10 ** KEPT (pick-wt=5): 7 [] product(inverse(A),A,identity).
% 1.93/2.10 ** KEPT (pick-wt=6): 8 [] product(A,B,multiply(A,B)).
% 1.93/2.10 ** KEPT (pick-wt=3): 9 [] e_qualish(a,b).
% 1.93/2.10 ** KEPT (pick-wt=4): 10 [] product(c,a,result).
% 1.93/2.10
% 1.93/2.10 ======= end of input processing =======
% 1.93/2.10
% 1.93/2.10 =========== start of search ===========
% 1.93/2.10
% 1.93/2.10 -------- PROOF --------
% 1.93/2.10
% 1.93/2.10 ----> UNIT CONFLICT at 0.01 sec ----> 421 [binary,420.1,5.1] $F.
% 1.93/2.10
% 1.93/2.10 Length of proof is 5. Level of proof is 3.
% 1.93/2.10
% 1.93/2.10 ---------------- PROOF ----------------
% 1.93/2.10 % SZS status Unsatisfiable
% 1.93/2.10 % SZS output start Refutation
% See solution above
% 1.93/2.10 ------------ end of proof -------------
% 1.93/2.10
% 1.93/2.10
% 1.93/2.10 Search stopped by max_proofs option.
% 1.93/2.10
% 1.93/2.10
% 1.93/2.10 Search stopped by max_proofs option.
% 1.93/2.10
% 1.93/2.10 ============ end of search ============
% 1.93/2.10
% 1.93/2.10 -------------- statistics -------------
% 1.93/2.10 clauses given 22
% 1.93/2.10 clauses generated 1040
% 1.93/2.10 clauses kept 420
% 1.93/2.10 clauses forward subsumed 630
% 1.93/2.10 clauses back subsumed 33
% 1.93/2.10 Kbytes malloced 976
% 1.93/2.10
% 1.93/2.10 ----------- times (seconds) -----------
% 1.93/2.10 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.93/2.10 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.93/2.10 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.93/2.10
% 1.93/2.10 That finishes the proof of the theorem.
% 1.93/2.10
% 1.93/2.10 Process 29860 finished Wed Jul 27 05:48:05 2022
% 1.93/2.10 Otter interrupted
% 1.93/2.10 PROOF FOUND
%------------------------------------------------------------------------------