TSTP Solution File: CAT019-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : CAT019-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 12:47:50 EDT 2022
% Result : Unsatisfiable 1.68s 1.90s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 4 RR)
% Number of literals : 6 ( 5 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(14,axiom,
( c2 = A
| c1 != A ),
file('CAT019-1.p',unknown),
[] ).
cnf(15,axiom,
c2 != c1,
file('CAT019-1.p',unknown),
[] ).
cnf(16,axiom,
A = A,
file('CAT019-1.p',unknown),
[] ).
cnf(23,plain,
c2 = c1,
inference(hyper,[status(thm)],[16,14]),
[iquote('hyper,16,14')] ).
cnf(25,plain,
$false,
inference(binary,[status(thm)],[23,15]),
[iquote('binary,23.1,15.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : CAT019-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n007.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 01:46:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.68/1.90 ----- Otter 3.3f, August 2004 -----
% 1.68/1.90 The process was started by sandbox on n007.cluster.edu,
% 1.68/1.90 Wed Jul 27 01:46:31 2022
% 1.68/1.90 The command was "./otter". The process ID is 31860.
% 1.68/1.90
% 1.68/1.90 set(prolog_style_variables).
% 1.68/1.90 set(auto).
% 1.68/1.90 dependent: set(auto1).
% 1.68/1.90 dependent: set(process_input).
% 1.68/1.90 dependent: clear(print_kept).
% 1.68/1.90 dependent: clear(print_new_demod).
% 1.68/1.90 dependent: clear(print_back_demod).
% 1.68/1.90 dependent: clear(print_back_sub).
% 1.68/1.90 dependent: set(control_memory).
% 1.68/1.90 dependent: assign(max_mem, 12000).
% 1.68/1.90 dependent: assign(pick_given_ratio, 4).
% 1.68/1.90 dependent: assign(stats_level, 1).
% 1.68/1.90 dependent: assign(max_seconds, 10800).
% 1.68/1.90 clear(print_given).
% 1.68/1.90
% 1.68/1.90 list(usable).
% 1.68/1.90 0 [] A=A.
% 1.68/1.90 0 [] -defined(X,Y)|product(X,Y,compose(X,Y)).
% 1.68/1.90 0 [] -product(X,Y,Z)|defined(X,Y).
% 1.68/1.90 0 [] -product(X,Y,Xy)| -defined(Xy,Z)|defined(Y,Z).
% 1.68/1.90 0 [] -product(X,Y,Xy)| -product(Y,Z,Yz)| -defined(Xy,Z)|defined(X,Yz).
% 1.68/1.90 0 [] -product(X,Y,Xy)| -product(Xy,Z,Xyz)| -product(Y,Z,Yz)|product(X,Yz,Xyz).
% 1.68/1.90 0 [] -product(Y,Z,Yz)| -defined(X,Yz)|defined(X,Y).
% 1.68/1.90 0 [] -product(Y,Z,Yz)| -product(X,Y,Xy)| -defined(X,Yz)|defined(Xy,Z).
% 1.68/1.90 0 [] -product(Y,Z,Yz)| -product(X,Yz,Xyz)| -product(X,Y,Xy)|product(Xy,Z,Xyz).
% 1.68/1.90 0 [] -defined(X,Y)| -defined(Y,Z)| -identity_map(Y)|defined(X,Z).
% 1.68/1.90 0 [] identity_map(domain(X)).
% 1.68/1.90 0 [] identity_map(codomain(X)).
% 1.68/1.90 0 [] defined(X,domain(X)).
% 1.68/1.90 0 [] defined(codomain(X),X).
% 1.68/1.90 0 [] product(X,domain(X),X).
% 1.68/1.90 0 [] product(codomain(X),X,X).
% 1.68/1.90 0 [] -defined(X,Y)| -identity_map(X)|product(X,Y,Y).
% 1.68/1.90 0 [] -defined(X,Y)| -identity_map(Y)|product(X,Y,X).
% 1.68/1.90 0 [] -product(X,Y,Z)| -product(X,Y,W)|Z=W.
% 1.68/1.90 0 [] c2!=Z|c1=Z.
% 1.68/1.90 0 [] c2=Z|c1!=Z.
% 1.68/1.90 0 [] c2!=c1.
% 1.68/1.90 end_of_list.
% 1.68/1.90
% 1.68/1.90 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=4.
% 1.68/1.90
% 1.68/1.90 This is a Horn set with equality. The strategy will be
% 1.68/1.90 Knuth-Bendix and hyper_res, with positive clauses in
% 1.68/1.90 sos and nonpositive clauses in usable.
% 1.68/1.90
% 1.68/1.90 dependent: set(knuth_bendix).
% 1.68/1.90 dependent: set(anl_eq).
% 1.68/1.90 dependent: set(para_from).
% 1.68/1.90 dependent: set(para_into).
% 1.68/1.90 dependent: clear(para_from_right).
% 1.68/1.90 dependent: clear(para_into_right).
% 1.68/1.90 dependent: set(para_from_vars).
% 1.68/1.90 dependent: set(eq_units_both_ways).
% 1.68/1.90 dependent: set(dynamic_demod_all).
% 1.68/1.90 dependent: set(dynamic_demod).
% 1.68/1.90 dependent: set(order_eq).
% 1.68/1.90 dependent: set(back_demod).
% 1.68/1.90 dependent: set(lrpo).
% 1.68/1.90 dependent: set(hyper_res).
% 1.68/1.90 dependent: clear(order_hyper).
% 1.68/1.90
% 1.68/1.90 ------------> process usable:
% 1.68/1.90 ** KEPT (pick-wt=9): 1 [] -defined(A,B)|product(A,B,compose(A,B)).
% 1.68/1.90 ** KEPT (pick-wt=7): 2 [] -product(A,B,C)|defined(A,B).
% 1.68/1.90 ** KEPT (pick-wt=10): 3 [] -product(A,B,C)| -defined(C,D)|defined(B,D).
% 1.68/1.90 ** KEPT (pick-wt=14): 4 [] -product(A,B,C)| -product(B,D,E)| -defined(C,D)|defined(A,E).
% 1.68/1.90 ** KEPT (pick-wt=16): 5 [] -product(A,B,C)| -product(C,D,E)| -product(B,D,F)|product(A,F,E).
% 1.68/1.90 ** KEPT (pick-wt=10): 6 [] -product(A,B,C)| -defined(D,C)|defined(D,A).
% 1.68/1.90 ** KEPT (pick-wt=14): 7 [] -product(A,B,C)| -product(D,A,E)| -defined(D,C)|defined(E,B).
% 1.68/1.90 ** KEPT (pick-wt=16): 8 [] -product(A,B,C)| -product(D,C,E)| -product(D,A,F)|product(F,B,E).
% 1.68/1.90 ** KEPT (pick-wt=11): 9 [] -defined(A,B)| -defined(B,C)| -identity_map(B)|defined(A,C).
% 1.68/1.90 ** KEPT (pick-wt=9): 10 [] -defined(A,B)| -identity_map(A)|product(A,B,B).
% 1.68/1.90 ** KEPT (pick-wt=9): 11 [] -defined(A,B)| -identity_map(B)|product(A,B,A).
% 1.68/1.90 ** KEPT (pick-wt=11): 12 [] -product(A,B,C)| -product(A,B,D)|C=D.
% 1.68/1.90 ** KEPT (pick-wt=6): 13 [] c2!=A|c1=A.
% 1.68/1.90 ** KEPT (pick-wt=6): 14 [] c2=A|c1!=A.
% 1.68/1.90 ** KEPT (pick-wt=3): 15 [] c2!=c1.
% 1.68/1.90
% 1.68/1.90 ------------> process sos:
% 1.68/1.90 ** KEPT (pick-wt=3): 16 [] A=A.
% 1.68/1.90 ** KEPT (pick-wt=3): 17 [] identity_map(domain(A)).
% 1.68/1.90 ** KEPT (pick-wt=3): 18 [] identity_map(codomain(A)).
% 1.68/1.90 ** KEPT (pick-wt=4): 19 [] defined(A,domain(A)).
% 1.68/1.90 ** KEPT (pick-wt=4): 20 [] defined(codomain(A),A).
% 1.68/1.90 ** KEPT (pick-wt=5): 21 [] product(A,domain(A),A).
% 1.68/1.90 ** KEPT (pick-wt=5): 22 [] product(codomain(A),A,A).
% 1.68/1.90 Following clause subsumed by 16 during input processing: 0 [copy,16,flip.1] A=A.
% 1.68/1.90
% 1.68/1.90 ======= end of input processing =======
% 1.68/1.90
% 1.68/1.90 =========== start of search ===========
% 1.68/1.90
% 1.68/1.90 -------- PROOF --------
% 1.68/1.90
% 1.68/1.90 ----> UNIT CONFLICT at 0.00 sec ----> 25 [binary,23.1,15.1] $F.
% 1.68/1.90
% 1.68/1.90 Length of proof is 1. Level of proof is 1.
% 1.68/1.90
% 1.68/1.90 ---------------- PROOF ----------------
% 1.68/1.90 % SZS status Unsatisfiable
% 1.68/1.90 % SZS output start Refutation
% See solution above
% 1.68/1.90 ------------ end of proof -------------
% 1.68/1.90
% 1.68/1.90
% 1.68/1.90 Search stopped by max_proofs option.
% 1.68/1.90
% 1.68/1.90
% 1.68/1.90 Search stopped by max_proofs option.
% 1.68/1.90
% 1.68/1.90 ============ end of search ============
% 1.68/1.90
% 1.68/1.90 -------------- statistics -------------
% 1.68/1.90 clauses given 1
% 1.68/1.90 clauses generated 1
% 1.68/1.90 clauses kept 23
% 1.68/1.90 clauses forward subsumed 1
% 1.68/1.90 clauses back subsumed 0
% 1.68/1.90 Kbytes malloced 976
% 1.68/1.90
% 1.68/1.90 ----------- times (seconds) -----------
% 1.68/1.90 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.68/1.90 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.68/1.90 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.68/1.90
% 1.68/1.90 That finishes the proof of the theorem.
% 1.68/1.90
% 1.68/1.90 Process 31860 finished Wed Jul 27 01:46:32 2022
% 1.68/1.90 Otter interrupted
% 1.68/1.90 PROOF FOUND
%------------------------------------------------------------------------------