TSTP Solution File: CAT013-4 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : CAT013-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n027.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 12:47:48 EDT 2022
% Result : Unsatisfiable 1.75s 1.97s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 8 RR)
% Number of literals : 12 ( 5 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ there_exists(codomain(A))
| there_exists(A) ),
file('CAT013-4.p',unknown),
[] ).
cnf(7,axiom,
( ~ there_exists(compose(A,B))
| domain(A) = codomain(B) ),
file('CAT013-4.p',unknown),
[] ).
cnf(9,axiom,
domain(codomain(a)) != codomain(a),
file('CAT013-4.p',unknown),
[] ).
cnf(16,axiom,
compose(codomain(A),A) = A,
file('CAT013-4.p',unknown),
[] ).
cnf(18,axiom,
there_exists(codomain(a)),
file('CAT013-4.p',unknown),
[] ).
cnf(19,plain,
there_exists(a),
inference(hyper,[status(thm)],[18,5]),
[iquote('hyper,18,5')] ).
cnf(57,plain,
( ~ there_exists(A)
| domain(codomain(A)) = codomain(A) ),
inference(para_from,[status(thm),theory(equality)],[16,7]),
[iquote('para_from,16.1.1,7.1.1')] ).
cnf(1156,plain,
domain(codomain(a)) = codomain(a),
inference(hyper,[status(thm)],[57,19]),
[iquote('hyper,57,19')] ).
cnf(1158,plain,
$false,
inference(binary,[status(thm)],[1156,9]),
[iquote('binary,1156.1,9.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : CAT013-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n027.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 02:13:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.75/1.97 ----- Otter 3.3f, August 2004 -----
% 1.75/1.97 The process was started by sandbox2 on n027.cluster.edu,
% 1.75/1.97 Wed Jul 27 02:13:36 2022
% 1.75/1.97 The command was "./otter". The process ID is 14309.
% 1.75/1.97
% 1.75/1.97 set(prolog_style_variables).
% 1.75/1.97 set(auto).
% 1.75/1.97 dependent: set(auto1).
% 1.75/1.97 dependent: set(process_input).
% 1.75/1.97 dependent: clear(print_kept).
% 1.75/1.97 dependent: clear(print_new_demod).
% 1.75/1.97 dependent: clear(print_back_demod).
% 1.75/1.97 dependent: clear(print_back_sub).
% 1.75/1.97 dependent: set(control_memory).
% 1.75/1.97 dependent: assign(max_mem, 12000).
% 1.75/1.97 dependent: assign(pick_given_ratio, 4).
% 1.75/1.97 dependent: assign(stats_level, 1).
% 1.75/1.97 dependent: assign(max_seconds, 10800).
% 1.75/1.97 clear(print_given).
% 1.75/1.97
% 1.75/1.97 list(usable).
% 1.75/1.97 0 [] A=A.
% 1.75/1.97 0 [] -e_quivalent(X,Y)|there_exists(X).
% 1.75/1.97 0 [] -e_quivalent(X,Y)|X=Y.
% 1.75/1.97 0 [] -there_exists(X)|X!=Y|e_quivalent(X,Y).
% 1.75/1.97 0 [] -there_exists(domain(X))|there_exists(X).
% 1.75/1.97 0 [] -there_exists(codomain(X))|there_exists(X).
% 1.75/1.97 0 [] -there_exists(compose(X,Y))|there_exists(domain(X)).
% 1.75/1.97 0 [] -there_exists(compose(X,Y))|domain(X)=codomain(Y).
% 1.75/1.97 0 [] -there_exists(domain(X))|domain(X)!=codomain(Y)|there_exists(compose(X,Y)).
% 1.75/1.97 0 [] compose(X,compose(Y,Z))=compose(compose(X,Y),Z).
% 1.75/1.97 0 [] compose(X,domain(X))=X.
% 1.75/1.97 0 [] compose(codomain(X),X)=X.
% 1.75/1.97 0 [] there_exists(codomain(a)).
% 1.75/1.97 0 [] domain(codomain(a))!=codomain(a).
% 1.75/1.97 end_of_list.
% 1.75/1.97
% 1.75/1.97 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 1.75/1.97
% 1.75/1.97 This is a Horn set with equality. The strategy will be
% 1.75/1.97 Knuth-Bendix and hyper_res, with positive clauses in
% 1.75/1.97 sos and nonpositive clauses in usable.
% 1.75/1.97
% 1.75/1.97 dependent: set(knuth_bendix).
% 1.75/1.97 dependent: set(anl_eq).
% 1.75/1.97 dependent: set(para_from).
% 1.75/1.97 dependent: set(para_into).
% 1.75/1.97 dependent: clear(para_from_right).
% 1.75/1.97 dependent: clear(para_into_right).
% 1.75/1.97 dependent: set(para_from_vars).
% 1.75/1.97 dependent: set(eq_units_both_ways).
% 1.75/1.97 dependent: set(dynamic_demod_all).
% 1.75/1.97 dependent: set(dynamic_demod).
% 1.75/1.97 dependent: set(order_eq).
% 1.75/1.97 dependent: set(back_demod).
% 1.75/1.97 dependent: set(lrpo).
% 1.75/1.97 dependent: set(hyper_res).
% 1.75/1.97 dependent: clear(order_hyper).
% 1.75/1.97
% 1.75/1.97 ------------> process usable:
% 1.75/1.97 ** KEPT (pick-wt=5): 1 [] -e_quivalent(A,B)|there_exists(A).
% 1.75/1.97 ** KEPT (pick-wt=6): 2 [] -e_quivalent(A,B)|A=B.
% 1.75/1.97 ** KEPT (pick-wt=8): 3 [] -there_exists(A)|A!=B|e_quivalent(A,B).
% 1.75/1.97 ** KEPT (pick-wt=5): 4 [] -there_exists(domain(A))|there_exists(A).
% 1.75/1.97 ** KEPT (pick-wt=5): 5 [] -there_exists(codomain(A))|there_exists(A).
% 1.75/1.97 ** KEPT (pick-wt=7): 6 [] -there_exists(compose(A,B))|there_exists(domain(A)).
% 1.75/1.97 ** KEPT (pick-wt=9): 7 [] -there_exists(compose(A,B))|domain(A)=codomain(B).
% 1.75/1.97 ** KEPT (pick-wt=12): 8 [] -there_exists(domain(A))|domain(A)!=codomain(B)|there_exists(compose(A,B)).
% 1.75/1.97 ** KEPT (pick-wt=6): 9 [] domain(codomain(a))!=codomain(a).
% 1.75/1.97
% 1.75/1.97 ------------> process sos:
% 1.75/1.97 ** KEPT (pick-wt=3): 10 [] A=A.
% 1.75/1.97 ** KEPT (pick-wt=11): 12 [copy,11,flip.1] compose(compose(A,B),C)=compose(A,compose(B,C)).
% 1.75/1.97 ---> New Demodulator: 13 [new_demod,12] compose(compose(A,B),C)=compose(A,compose(B,C)).
% 1.75/1.97 ** KEPT (pick-wt=6): 14 [] compose(A,domain(A))=A.
% 1.75/1.97 ---> New Demodulator: 15 [new_demod,14] compose(A,domain(A))=A.
% 1.75/1.97 ** KEPT (pick-wt=6): 16 [] compose(codomain(A),A)=A.
% 1.75/1.97 ---> New Demodulator: 17 [new_demod,16] compose(codomain(A),A)=A.
% 1.75/1.97 ** KEPT (pick-wt=3): 18 [] there_exists(codomain(a)).
% 1.75/1.97 Following clause subsumed by 10 during input processing: 0 [copy,10,flip.1] A=A.
% 1.75/1.97 >>>> Starting back demodulation with 13.
% 1.75/1.97 >>>> Starting back demodulation with 15.
% 1.75/1.97 >>>> Starting back demodulation with 17.
% 1.75/1.97
% 1.75/1.97 ======= end of input processing =======
% 1.75/1.97
% 1.75/1.97 =========== start of search ===========
% 1.75/1.97
% 1.75/1.97 -------- PROOF --------
% 1.75/1.97
% 1.75/1.97 ----> UNIT CONFLICT at 0.07 sec ----> 1158 [binary,1156.1,9.1] $F.
% 1.75/1.97
% 1.75/1.97 Length of proof is 3. Level of proof is 2.
% 1.75/1.97
% 1.75/1.97 ---------------- PROOF ----------------
% 1.75/1.97 % SZS status Unsatisfiable
% 1.75/1.97 % SZS output start Refutation
% See solution above
% 1.75/1.97 ------------ end of proof -------------
% 1.75/1.97
% 1.75/1.97
% 1.75/1.97 Search stopped by max_proofs option.
% 1.75/1.97
% 1.75/1.97
% 1.75/1.97 Search stopped by max_proofs option.
% 1.75/1.97
% 1.75/1.97 ============ end of search ============
% 1.75/1.97
% 1.75/1.97 -------------- statistics -------------
% 1.75/1.97 clauses given 104
% 1.75/1.97 clauses generated 1597
% 1.75/1.97 clauses kept 1083
% 1.75/1.97 clauses forward subsumed 672
% 1.75/1.97 clauses back subsumed 4
% 1.75/1.97 Kbytes malloced 3906
% 1.75/1.97
% 1.75/1.97 ----------- times (seconds) -----------
% 1.75/1.97 user CPU time 0.07 (0 hr, 0 min, 0 sec)
% 1.75/1.97 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.75/1.97 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.75/1.97
% 1.75/1.97 That finishes the proof of the theorem.
% 1.75/1.97
% 1.75/1.97 Process 14309 finished Wed Jul 27 02:13:38 2022
% 1.75/1.97 Otter interrupted
% 1.75/1.97 PROOF FOUND
%------------------------------------------------------------------------------