TSTP Solution File: GRP001-5 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP001-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 12:55:48 EDT 2022
% Result : Unsatisfiable 1.65s 1.86s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 10 unt; 0 nHn; 9 RR)
% Number of literals : 18 ( 0 equ; 7 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 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,
( ~ product(A,B,C)
| ~ product(B,D,E)
| ~ product(C,D,F)
| product(A,E,F) ),
file('GRP001-5.p',unknown),
[] ).
cnf(2,axiom,
( ~ product(A,B,C)
| ~ product(B,D,E)
| ~ product(A,E,F)
| product(C,D,F) ),
file('GRP001-5.p',unknown),
[] ).
cnf(3,axiom,
~ product(b,a,c),
file('GRP001-5.p',unknown),
[] ).
cnf(4,axiom,
product(identity,A,A),
file('GRP001-5.p',unknown),
[] ).
cnf(5,axiom,
product(A,identity,A),
file('GRP001-5.p',unknown),
[] ).
cnf(6,axiom,
product(A,A,identity),
file('GRP001-5.p',unknown),
[] ).
cnf(7,axiom,
product(a,b,c),
file('GRP001-5.p',unknown),
[] ).
cnf(8,plain,
product(c,b,a),
inference(hyper,[status(thm)],[7,2,6,5]),
[iquote('hyper,7,2,6,5')] ).
cnf(9,plain,
product(a,c,b),
inference(hyper,[status(thm)],[7,1,6,4]),
[iquote('hyper,7,1,6,4')] ).
cnf(10,plain,
product(c,a,b),
inference(hyper,[status(thm)],[8,1,6,4]),
[iquote('hyper,8,1,6,4')] ).
cnf(12,plain,
product(b,a,c),
inference(hyper,[status(thm)],[10,2,9,7]),
[iquote('hyper,10,2,9,7')] ).
cnf(13,plain,
$false,
inference(binary,[status(thm)],[12,3]),
[iquote('binary,12.1,3.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP001-5 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n003.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 05:06:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.65/1.86 ----- Otter 3.3f, August 2004 -----
% 1.65/1.86 The process was started by sandbox on n003.cluster.edu,
% 1.65/1.86 Wed Jul 27 05:06:11 2022
% 1.65/1.86 The command was "./otter". The process ID is 18130.
% 1.65/1.86
% 1.65/1.86 set(prolog_style_variables).
% 1.65/1.86 set(auto).
% 1.65/1.86 dependent: set(auto1).
% 1.65/1.86 dependent: set(process_input).
% 1.65/1.86 dependent: clear(print_kept).
% 1.65/1.86 dependent: clear(print_new_demod).
% 1.65/1.86 dependent: clear(print_back_demod).
% 1.65/1.86 dependent: clear(print_back_sub).
% 1.65/1.86 dependent: set(control_memory).
% 1.65/1.86 dependent: assign(max_mem, 12000).
% 1.65/1.86 dependent: assign(pick_given_ratio, 4).
% 1.65/1.86 dependent: assign(stats_level, 1).
% 1.65/1.86 dependent: assign(max_seconds, 10800).
% 1.65/1.86 clear(print_given).
% 1.65/1.86
% 1.65/1.86 list(usable).
% 1.65/1.86 0 [] product(identity,X,X).
% 1.65/1.86 0 [] product(X,identity,X).
% 1.65/1.86 0 [] -product(X,Y,U)| -product(Y,Z,V)| -product(U,Z,W)|product(X,V,W).
% 1.65/1.86 0 [] -product(X,Y,U)| -product(Y,Z,V)| -product(X,V,W)|product(U,Z,W).
% 1.65/1.86 0 [] product(X,X,identity).
% 1.65/1.86 0 [] product(a,b,c).
% 1.65/1.86 0 [] -product(b,a,c).
% 1.65/1.86 end_of_list.
% 1.65/1.86
% 1.65/1.86 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.65/1.86
% 1.65/1.86 This is a Horn set without equality. The strategy will
% 1.65/1.86 be hyperresolution, with satellites in sos and nuclei
% 1.65/1.86 in usable.
% 1.65/1.86
% 1.65/1.86 dependent: set(hyper_res).
% 1.65/1.86 dependent: clear(order_hyper).
% 1.65/1.86
% 1.65/1.86 ------------> process usable:
% 1.65/1.86 ** KEPT (pick-wt=16): 1 [] -product(A,B,C)| -product(B,D,E)| -product(C,D,F)|product(A,E,F).
% 1.65/1.86 ** KEPT (pick-wt=16): 2 [] -product(A,B,C)| -product(B,D,E)| -product(A,E,F)|product(C,D,F).
% 1.65/1.86 ** KEPT (pick-wt=4): 3 [] -product(b,a,c).
% 1.65/1.86
% 1.65/1.86 ------------> process sos:
% 1.65/1.86 ** KEPT (pick-wt=4): 4 [] product(identity,A,A).
% 1.65/1.86 ** KEPT (pick-wt=4): 5 [] product(A,identity,A).
% 1.65/1.86 ** KEPT (pick-wt=4): 6 [] product(A,A,identity).
% 1.65/1.86 ** KEPT (pick-wt=4): 7 [] product(a,b,c).
% 1.65/1.86
% 1.65/1.86 ======= end of input processing =======
% 1.65/1.86
% 1.65/1.86 =========== start of search ===========
% 1.65/1.86
% 1.65/1.86 -------- PROOF --------
% 1.65/1.86
% 1.65/1.86 ----> UNIT CONFLICT at 0.00 sec ----> 13 [binary,12.1,3.1] $F.
% 1.65/1.86
% 1.65/1.86 Length of proof is 4. Level of proof is 3.
% 1.65/1.86
% 1.65/1.86 ---------------- PROOF ----------------
% 1.65/1.86 % SZS status Unsatisfiable
% 1.65/1.86 % SZS output start Refutation
% See solution above
% 1.65/1.86 ------------ end of proof -------------
% 1.65/1.86
% 1.65/1.86
% 1.65/1.86 Search stopped by max_proofs option.
% 1.65/1.86
% 1.65/1.86
% 1.65/1.86 Search stopped by max_proofs option.
% 1.65/1.86
% 1.65/1.86 ============ end of search ============
% 1.65/1.86
% 1.65/1.86 -------------- statistics -------------
% 1.65/1.86 clauses given 7
% 1.65/1.86 clauses generated 124
% 1.65/1.86 clauses kept 12
% 1.65/1.86 clauses forward subsumed 119
% 1.65/1.86 clauses back subsumed 0
% 1.65/1.86 Kbytes malloced 976
% 1.65/1.86
% 1.65/1.86 ----------- times (seconds) -----------
% 1.65/1.86 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.65/1.86 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.65/1.86 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.65/1.86
% 1.65/1.86 That finishes the proof of the theorem.
% 1.65/1.86
% 1.65/1.86 Process 18130 finished Wed Jul 27 05:06:13 2022
% 1.65/1.86 Otter interrupted
% 1.65/1.86 PROOF FOUND
%------------------------------------------------------------------------------