TSTP Solution File: LAT259-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LAT259-2 : TPTP v8.1.0. Released v3.2.0.
% 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 13:02:13 EDT 2022
% Result : Unsatisfiable 1.65s 1.87s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 10 unt; 0 nHn; 12 RR)
% Number of literals : 16 ( 6 equ; 6 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-4 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v_a != v_b,
file('LAT259-2.p',unknown),
[] ).
cnf(2,plain,
v_b != v_a,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1])]),
[iquote('copy,1,flip.1')] ).
cnf(3,axiom,
( ~ c_Relation_Oantisym(A,B)
| ~ c_in(c_Pair(C,D,B,B),A,tc_prod(B,B))
| ~ c_in(c_Pair(D,C,B,B),A,tc_prod(B,B))
| D = C ),
file('LAT259-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(A,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(B,tc_Product__Type_Ounit))
| c_Relation_Oantisym(c_Tarski_Opotype_Oorder(A,B,tc_Product__Type_Ounit),B) ),
file('LAT259-2.p',unknown),
[] ).
cnf(6,axiom,
c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('LAT259-2.p',unknown),
[] ).
cnf(7,axiom,
c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('LAT259-2.p',unknown),
[] ).
cnf(8,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('LAT259-2.p',unknown),
[] ).
cnf(9,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('LAT259-2.p',unknown),
[] ).
cnf(11,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[9])]),
[iquote('copy,9,flip.1')] ).
cnf(12,plain,
c_Relation_Oantisym(v_r,t_a),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[8,4]),11]),
[iquote('hyper,8,4,demod,11')] ).
cnf(32,plain,
v_b = v_a,
inference(hyper,[status(thm)],[7,3,12,6]),
[iquote('hyper,7,3,12,6')] ).
cnf(34,plain,
$false,
inference(binary,[status(thm)],[32,2]),
[iquote('binary,32.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT259-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % 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 08:52:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.65/1.87 ----- Otter 3.3f, August 2004 -----
% 1.65/1.87 The process was started by sandbox2 on n027.cluster.edu,
% 1.65/1.87 Wed Jul 27 08:52:06 2022
% 1.65/1.87 The command was "./otter". The process ID is 22988.
% 1.65/1.87
% 1.65/1.87 set(prolog_style_variables).
% 1.65/1.87 set(auto).
% 1.65/1.87 dependent: set(auto1).
% 1.65/1.87 dependent: set(process_input).
% 1.65/1.87 dependent: clear(print_kept).
% 1.65/1.87 dependent: clear(print_new_demod).
% 1.65/1.87 dependent: clear(print_back_demod).
% 1.65/1.87 dependent: clear(print_back_sub).
% 1.65/1.87 dependent: set(control_memory).
% 1.65/1.87 dependent: assign(max_mem, 12000).
% 1.65/1.87 dependent: assign(pick_given_ratio, 4).
% 1.65/1.87 dependent: assign(stats_level, 1).
% 1.65/1.87 dependent: assign(max_seconds, 10800).
% 1.65/1.87 clear(print_given).
% 1.65/1.87
% 1.65/1.87 list(usable).
% 1.65/1.87 0 [] A=A.
% 1.65/1.87 0 [] c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 1.65/1.87 0 [] c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 1.65/1.87 0 [] v_a!=v_b.
% 1.65/1.87 0 [] -c_Relation_Oantisym(V_r,T_a)| -c_in(c_Pair(V_V,V_U,T_a,T_a),V_r,tc_prod(T_a,T_a))| -c_in(c_Pair(V_U,V_V,T_a,T_a),V_r,tc_prod(T_a,T_a))|V_U=V_V.
% 1.65/1.87 0 [] -c_in(V_P,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))|c_Relation_Oantisym(c_Tarski_Opotype_Oorder(V_P,T_a,tc_Product__Type_Ounit),T_a).
% 1.65/1.87 0 [] c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)).
% 1.65/1.87 0 [] v_r=c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit).
% 1.65/1.87 end_of_list.
% 1.65/1.87
% 1.65/1.87 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=4.
% 1.65/1.87
% 1.65/1.87 This is a Horn set with equality. The strategy will be
% 1.65/1.87 Knuth-Bendix and hyper_res, with positive clauses in
% 1.65/1.87 sos and nonpositive clauses in usable.
% 1.65/1.87
% 1.65/1.87 dependent: set(knuth_bendix).
% 1.65/1.87 dependent: set(anl_eq).
% 1.65/1.87 dependent: set(para_from).
% 1.65/1.87 dependent: set(para_into).
% 1.65/1.87 dependent: clear(para_from_right).
% 1.65/1.87 dependent: clear(para_into_right).
% 1.65/1.87 dependent: set(para_from_vars).
% 1.65/1.87 dependent: set(eq_units_both_ways).
% 1.65/1.87 dependent: set(dynamic_demod_all).
% 1.65/1.87 dependent: set(dynamic_demod).
% 1.65/1.87 dependent: set(order_eq).
% 1.65/1.87 dependent: set(back_demod).
% 1.65/1.87 dependent: set(lrpo).
% 1.65/1.87 dependent: set(hyper_res).
% 1.65/1.87 dependent: clear(order_hyper).
% 1.65/1.87
% 1.65/1.87 ------------> process usable:
% 1.65/1.87 ** KEPT (pick-wt=3): 2 [copy,1,flip.1] v_b!=v_a.
% 1.65/1.87 ** KEPT (pick-wt=26): 3 [] -c_Relation_Oantisym(A,B)| -c_in(c_Pair(C,D,B,B),A,tc_prod(B,B))| -c_in(c_Pair(D,C,B,B),A,tc_prod(B,B))|D=C.
% 1.65/1.87 ** KEPT (pick-wt=12): 4 [] -c_in(A,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(B,tc_Product__Type_Ounit))|c_Relation_Oantisym(c_Tarski_Opotype_Oorder(A,B,tc_Product__Type_Ounit),B).
% 1.65/1.87
% 1.65/1.87 ------------> process sos:
% 1.65/1.87 ** KEPT (pick-wt=3): 5 [] A=A.
% 1.65/1.87 ** KEPT (pick-wt=10): 6 [] c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 1.65/1.87 ** KEPT (pick-wt=10): 7 [] c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 1.65/1.87 ** KEPT (pick-wt=6): 8 [] c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)).
% 1.65/1.87 ** KEPT (pick-wt=6): 10 [copy,9,flip.1] c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r.
% 1.65/1.87 ---> New Demodulator: 11 [new_demod,10] c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r.
% 1.65/1.87 Following clause subsumed by 5 during input processing: 0 [copy,5,flip.1] A=A.
% 1.65/1.87 >>>> Starting back demodulation with 11.
% 1.65/1.87
% 1.65/1.87 ======= end of input processing =======
% 1.65/1.87
% 1.65/1.87 =========== start of search ===========
% 1.65/1.87
% 1.65/1.87 -------- PROOF --------
% 1.65/1.87
% 1.65/1.87 ----> UNIT CONFLICT at 0.00 sec ----> 34 [binary,32.1,2.1] $F.
% 1.65/1.87
% 1.65/1.87 Length of proof is 4. Level of proof is 3.
% 1.65/1.87
% 1.65/1.87 ---------------- PROOF ----------------
% 1.65/1.87 % SZS status Unsatisfiable
% 1.65/1.87 % SZS output start Refutation
% See solution above
% 1.65/1.87 ------------ end of proof -------------
% 1.65/1.87
% 1.65/1.87
% 1.65/1.87 Search stopped by max_proofs option.
% 1.65/1.87
% 1.65/1.87
% 1.65/1.87 Search stopped by max_proofs option.
% 1.65/1.87
% 1.65/1.87 ============ end of search ============
% 1.65/1.87
% 1.65/1.87 -------------- statistics -------------
% 1.65/1.87 clauses given 6
% 1.65/1.87 clauses generated 25
% 1.65/1.87 clauses kept 29
% 1.65/1.87 clauses forward subsumed 5
% 1.65/1.87 clauses back subsumed 0
% 1.65/1.87 Kbytes malloced 976
% 1.65/1.87
% 1.65/1.87 ----------- times (seconds) -----------
% 1.65/1.87 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.65/1.87 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.65/1.87 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.65/1.87
% 1.65/1.87 That finishes the proof of the theorem.
% 1.65/1.87
% 1.65/1.87 Process 22988 finished Wed Jul 27 08:52:08 2022
% 1.65/1.87 Otter interrupted
% 1.65/1.87 PROOF FOUND
%------------------------------------------------------------------------------