TSTP Solution File: ANA016-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : ANA016-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n008.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 12:46:43 EDT 2022
% Result : Unsatisfiable 1.69s 1.90s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 11 unt; 2 nHn; 12 RR)
% Number of literals : 26 ( 12 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v_c != c_0,
file('ANA016-2.p',unknown),
[] ).
cnf(2,axiom,
v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a),
file('ANA016-2.p',unknown),
[] ).
cnf(3,plain,
c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a) != v_g(v_x),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[2])]),
[iquote('copy,2,flip.1')] ).
cnf(4,axiom,
( ~ class_OrderedGroup_Omonoid__mult(A)
| c_times(c_1,B,A) = B ),
file('ANA016-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ class_OrderedGroup_Osemigroup__mult(A)
| c_times(c_times(B,C,A),D,A) = c_times(B,c_times(C,D,A),A) ),
file('ANA016-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ class_Ring__and__Field_Ofield(A)
| B = c_0
| c_times(B,c_HOL_Oinverse(B,A),A) = c_1 ),
file('ANA016-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ class_Ring__and__Field_Ofield(A)
| class_OrderedGroup_Omonoid__mult(A) ),
file('ANA016-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ class_Ring__and__Field_Ofield(A)
| class_OrderedGroup_Osemigroup__mult(A) ),
file('ANA016-2.p',unknown),
[] ).
cnf(9,axiom,
( ~ class_Ring__and__Field_Oordered__field(A)
| class_Ring__and__Field_Ofield(A) ),
file('ANA016-2.p',unknown),
[] ).
cnf(11,axiom,
class_Ring__and__Field_Oordered__field(t_a),
file('ANA016-2.p',unknown),
[] ).
cnf(12,plain,
class_Ring__and__Field_Ofield(t_a),
inference(hyper,[status(thm)],[11,9]),
[iquote('hyper,11,9')] ).
cnf(14,plain,
class_OrderedGroup_Osemigroup__mult(t_a),
inference(hyper,[status(thm)],[12,8]),
[iquote('hyper,12,8')] ).
cnf(15,plain,
class_OrderedGroup_Omonoid__mult(t_a),
inference(hyper,[status(thm)],[12,7]),
[iquote('hyper,12,7')] ).
cnf(16,plain,
( A = c_0
| c_times(A,c_HOL_Oinverse(A,t_a),t_a) = c_1 ),
inference(hyper,[status(thm)],[12,6]),
[iquote('hyper,12,6')] ).
cnf(22,plain,
c_times(c_1,A,t_a) = A,
inference(hyper,[status(thm)],[15,4]),
[iquote('hyper,15,4')] ).
cnf(48,plain,
c_times(v_c,c_HOL_Oinverse(v_c,t_a),t_a) = c_1,
inference(hyper,[status(thm)],[16,1]),
[iquote('hyper,16,1')] ).
cnf(92,plain,
c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),A,t_a),t_a) = A,
inference(flip,[status(thm),theory(equality)],[inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[48,5]),22]),14])]),
[iquote('para_from,48.1.1,5.2.1.1,demod,22,unit_del,14,flip.1')] ).
cnf(94,plain,
$false,
inference(binary,[status(thm)],[92,3]),
[iquote('binary,92.1,3.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA016-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n008.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 10:02:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.69/1.90 ----- Otter 3.3f, August 2004 -----
% 1.69/1.90 The process was started by sandbox on n008.cluster.edu,
% 1.69/1.90 Wed Jul 27 10:02:08 2022
% 1.69/1.90 The command was "./otter". The process ID is 28520.
% 1.69/1.90
% 1.69/1.90 set(prolog_style_variables).
% 1.69/1.90 set(auto).
% 1.69/1.90 dependent: set(auto1).
% 1.69/1.90 dependent: set(process_input).
% 1.69/1.90 dependent: clear(print_kept).
% 1.69/1.90 dependent: clear(print_new_demod).
% 1.69/1.90 dependent: clear(print_back_demod).
% 1.69/1.90 dependent: clear(print_back_sub).
% 1.69/1.90 dependent: set(control_memory).
% 1.69/1.90 dependent: assign(max_mem, 12000).
% 1.69/1.90 dependent: assign(pick_given_ratio, 4).
% 1.69/1.90 dependent: assign(stats_level, 1).
% 1.69/1.90 dependent: assign(max_seconds, 10800).
% 1.69/1.90 clear(print_given).
% 1.69/1.90
% 1.69/1.90 list(usable).
% 1.69/1.90 0 [] A=A.
% 1.69/1.90 0 [] v_c!=c_0.
% 1.69/1.90 0 [] v_g(v_x)!=c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a).
% 1.69/1.90 0 [] class_Ring__and__Field_Oordered__field(t_a).
% 1.69/1.90 0 [] -class_OrderedGroup_Omonoid__mult(T_a)|c_times(c_1,V_y,T_a)=V_y.
% 1.69/1.90 0 [] -class_OrderedGroup_Osemigroup__mult(T_a)|c_times(c_times(V_a,V_b,T_a),V_c,T_a)=c_times(V_a,c_times(V_b,V_c,T_a),T_a).
% 1.69/1.90 0 [] -class_Ring__and__Field_Ofield(T_a)|V_a=c_0|c_times(V_a,c_HOL_Oinverse(V_a,T_a),T_a)=c_1.
% 1.69/1.90 0 [] -class_Ring__and__Field_Ofield(T)|class_OrderedGroup_Omonoid__mult(T).
% 1.69/1.90 0 [] -class_Ring__and__Field_Ofield(T)|class_OrderedGroup_Osemigroup__mult(T).
% 1.69/1.90 0 [] -class_Ring__and__Field_Oordered__field(T)|class_Ring__and__Field_Ofield(T).
% 1.69/1.90 end_of_list.
% 1.69/1.90
% 1.69/1.90 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.69/1.90
% 1.69/1.90 This ia a non-Horn set with equality. The strategy will be
% 1.69/1.90 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.69/1.90 deletion, with positive clauses in sos and nonpositive
% 1.69/1.90 clauses in usable.
% 1.69/1.90
% 1.69/1.90 dependent: set(knuth_bendix).
% 1.69/1.90 dependent: set(anl_eq).
% 1.69/1.90 dependent: set(para_from).
% 1.69/1.90 dependent: set(para_into).
% 1.69/1.90 dependent: clear(para_from_right).
% 1.69/1.90 dependent: clear(para_into_right).
% 1.69/1.90 dependent: set(para_from_vars).
% 1.69/1.90 dependent: set(eq_units_both_ways).
% 1.69/1.90 dependent: set(dynamic_demod_all).
% 1.69/1.90 dependent: set(dynamic_demod).
% 1.69/1.90 dependent: set(order_eq).
% 1.69/1.90 dependent: set(back_demod).
% 1.69/1.90 dependent: set(lrpo).
% 1.69/1.90 dependent: set(hyper_res).
% 1.69/1.90 dependent: set(unit_deletion).
% 1.69/1.90 dependent: set(factor).
% 1.69/1.90
% 1.69/1.90 ------------> process usable:
% 1.69/1.90 ** KEPT (pick-wt=3): 1 [] v_c!=c_0.
% 1.69/1.90 ** KEPT (pick-wt=13): 3 [copy,2,flip.1] c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a)!=v_g(v_x).
% 1.69/1.90 ** KEPT (pick-wt=8): 4 [] -class_OrderedGroup_Omonoid__mult(A)|c_times(c_1,B,A)=B.
% 1.69/1.90 ** KEPT (pick-wt=17): 5 [] -class_OrderedGroup_Osemigroup__mult(A)|c_times(c_times(B,C,A),D,A)=c_times(B,c_times(C,D,A),A).
% 1.69/1.90 ** KEPT (pick-wt=13): 6 [] -class_Ring__and__Field_Ofield(A)|B=c_0|c_times(B,c_HOL_Oinverse(B,A),A)=c_1.
% 1.69/1.90 ** KEPT (pick-wt=4): 7 [] -class_Ring__and__Field_Ofield(A)|class_OrderedGroup_Omonoid__mult(A).
% 1.69/1.90 ** KEPT (pick-wt=4): 8 [] -class_Ring__and__Field_Ofield(A)|class_OrderedGroup_Osemigroup__mult(A).
% 1.69/1.90 ** KEPT (pick-wt=4): 9 [] -class_Ring__and__Field_Oordered__field(A)|class_Ring__and__Field_Ofield(A).
% 1.69/1.90
% 1.69/1.90 ------------> process sos:
% 1.69/1.90 ** KEPT (pick-wt=3): 10 [] A=A.
% 1.69/1.90 ** KEPT (pick-wt=2): 11 [] class_Ring__and__Field_Oordered__field(t_a).
% 1.69/1.90 Following clause subsumed by 10 during input processing: 0 [copy,10,flip.1] A=A.
% 1.69/1.90
% 1.69/1.90 ======= end of input processing =======
% 1.69/1.90
% 1.69/1.90 =========== start of search ===========
% 1.69/1.90
% 1.69/1.90 -------- PROOF --------
% 1.69/1.90
% 1.69/1.90 ----> UNIT CONFLICT at 0.00 sec ----> 94 [binary,92.1,3.1] $F.
% 1.69/1.90
% 1.69/1.90 Length of proof is 8. Level of proof is 4.
% 1.69/1.90
% 1.69/1.90 ---------------- PROOF ----------------
% 1.69/1.90 % SZS status Unsatisfiable
% 1.69/1.90 % SZS output start Refutation
% See solution above
% 1.69/1.90 ------------ end of proof -------------
% 1.69/1.90
% 1.69/1.90
% 1.69/1.90 Search stopped by max_proofs option.
% 1.69/1.90
% 1.69/1.90
% 1.69/1.90 Search stopped by max_proofs option.
% 1.69/1.90
% 1.69/1.90 ============ end of search ============
% 1.69/1.90
% 1.69/1.90 -------------- statistics -------------
% 1.69/1.90 clauses given 12
% 1.69/1.90 clauses generated 181
% 1.69/1.90 clauses kept 88
% 1.69/1.90 clauses forward subsumed 104
% 1.69/1.90 clauses back subsumed 0
% 1.69/1.90 Kbytes malloced 1953
% 1.69/1.90
% 1.69/1.90 ----------- times (seconds) -----------
% 1.69/1.90 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.69/1.90 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.69/1.90 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.69/1.90
% 1.69/1.90 That finishes the proof of the theorem.
% 1.69/1.90
% 1.69/1.90 Process 28520 finished Wed Jul 27 10:02:10 2022
% 1.69/1.90 Otter interrupted
% 1.69/1.90 PROOF FOUND
%------------------------------------------------------------------------------