TSTP Solution File: LAT278-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LAT278-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n005.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 13:02:17 EDT 2022
% Result : Unsatisfiable 1.57s 1.79s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 8 unt; 0 nHn; 9 RR)
% Number of literals : 10 ( 4 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_Relation_Orefl(v_A,v_r,t_a),
file('LAT278-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(A,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(B,tc_Product__Type_Ounit))
| c_Relation_Orefl(c_Tarski_Opotype_Opset(A,B,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(A,B,tc_Product__Type_Ounit),B) ),
file('LAT278-2.p',unknown),
[] ).
cnf(4,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('LAT278-2.p',unknown),
[] ).
cnf(6,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[4])]),
[iquote('copy,4,flip.1')] ).
cnf(7,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('LAT278-2.p',unknown),
[] ).
cnf(8,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('LAT278-2.p',unknown),
[] ).
cnf(10,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)],[8])]),
[iquote('copy,8,flip.1')] ).
cnf(12,plain,
c_Relation_Orefl(v_A,v_r,t_a),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[7,2]),6,10]),
[iquote('hyper,7,2,demod,6,10')] ).
cnf(13,plain,
$false,
inference(binary,[status(thm)],[12,1]),
[iquote('binary,12.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT278-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n005.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 08:25:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.57/1.79 ----- Otter 3.3f, August 2004 -----
% 1.57/1.79 The process was started by sandbox on n005.cluster.edu,
% 1.57/1.79 Wed Jul 27 08:25:50 2022
% 1.57/1.79 The command was "./otter". The process ID is 23934.
% 1.57/1.79
% 1.57/1.79 set(prolog_style_variables).
% 1.57/1.79 set(auto).
% 1.57/1.79 dependent: set(auto1).
% 1.57/1.79 dependent: set(process_input).
% 1.57/1.79 dependent: clear(print_kept).
% 1.57/1.79 dependent: clear(print_new_demod).
% 1.57/1.79 dependent: clear(print_back_demod).
% 1.57/1.79 dependent: clear(print_back_sub).
% 1.57/1.79 dependent: set(control_memory).
% 1.57/1.79 dependent: assign(max_mem, 12000).
% 1.57/1.79 dependent: assign(pick_given_ratio, 4).
% 1.57/1.79 dependent: assign(stats_level, 1).
% 1.57/1.79 dependent: assign(max_seconds, 10800).
% 1.57/1.79 clear(print_given).
% 1.57/1.79
% 1.57/1.79 list(usable).
% 1.57/1.79 0 [] A=A.
% 1.57/1.79 0 [] -c_Relation_Orefl(v_A,v_r,t_a).
% 1.57/1.79 0 [] v_A=c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit).
% 1.57/1.79 0 [] -c_in(V_P,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))|c_Relation_Orefl(c_Tarski_Opotype_Opset(V_P,T_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(V_P,T_a,tc_Product__Type_Ounit),T_a).
% 1.57/1.79 0 [] c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)).
% 1.57/1.79 0 [] v_r=c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit).
% 1.57/1.79 end_of_list.
% 1.57/1.79
% 1.57/1.79 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 1.57/1.79
% 1.57/1.79 This is a Horn set with equality. The strategy will be
% 1.57/1.79 Knuth-Bendix and hyper_res, with positive clauses in
% 1.57/1.79 sos and nonpositive clauses in usable.
% 1.57/1.79
% 1.57/1.79 dependent: set(knuth_bendix).
% 1.57/1.79 dependent: set(anl_eq).
% 1.57/1.79 dependent: set(para_from).
% 1.57/1.79 dependent: set(para_into).
% 1.57/1.79 dependent: clear(para_from_right).
% 1.57/1.79 dependent: clear(para_into_right).
% 1.57/1.79 dependent: set(para_from_vars).
% 1.57/1.79 dependent: set(eq_units_both_ways).
% 1.57/1.79 dependent: set(dynamic_demod_all).
% 1.57/1.79 dependent: set(dynamic_demod).
% 1.57/1.79 dependent: set(order_eq).
% 1.57/1.79 dependent: set(back_demod).
% 1.57/1.79 dependent: set(lrpo).
% 1.57/1.79 dependent: set(hyper_res).
% 1.57/1.79 dependent: clear(order_hyper).
% 1.57/1.79
% 1.57/1.79 ------------> process usable:
% 1.57/1.79 ** KEPT (pick-wt=4): 1 [] -c_Relation_Orefl(v_A,v_r,t_a).
% 1.57/1.79 ** KEPT (pick-wt=16): 2 [] -c_in(A,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(B,tc_Product__Type_Ounit))|c_Relation_Orefl(c_Tarski_Opotype_Opset(A,B,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(A,B,tc_Product__Type_Ounit),B).
% 1.57/1.79
% 1.57/1.79 ------------> process sos:
% 1.57/1.79 ** KEPT (pick-wt=3): 3 [] A=A.
% 1.57/1.79 ** KEPT (pick-wt=6): 5 [copy,4,flip.1] c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)=v_A.
% 1.57/1.79 ---> New Demodulator: 6 [new_demod,5] c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)=v_A.
% 1.57/1.79 ** KEPT (pick-wt=6): 7 [] c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)).
% 1.57/1.79 ** KEPT (pick-wt=6): 9 [copy,8,flip.1] c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r.
% 1.57/1.79 ---> New Demodulator: 10 [new_demod,9] c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r.
% 1.57/1.79 Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] A=A.
% 1.57/1.79 >>>> Starting back demodulation with 6.
% 1.57/1.79 >>>> Starting back demodulation with 10.
% 1.57/1.79
% 1.57/1.79 ======= end of input processing =======
% 1.57/1.79
% 1.57/1.79 =========== start of search ===========
% 1.57/1.79
% 1.57/1.79 -------- PROOF --------
% 1.57/1.79
% 1.57/1.79 ----> UNIT CONFLICT at 0.00 sec ----> 13 [binary,12.1,1.1] $F.
% 1.57/1.79
% 1.57/1.79 Length of proof is 3. Level of proof is 2.
% 1.57/1.79
% 1.57/1.79 ---------------- PROOF ----------------
% 1.57/1.79 % SZS status Unsatisfiable
% 1.57/1.79 % SZS output start Refutation
% See solution above
% 1.57/1.79 ------------ end of proof -------------
% 1.57/1.79
% 1.57/1.79
% 1.57/1.79 Search stopped by max_proofs option.
% 1.57/1.79
% 1.57/1.79
% 1.57/1.79 Search stopped by max_proofs option.
% 1.57/1.79
% 1.57/1.79 ============ end of search ============
% 1.57/1.79
% 1.57/1.79 -------------- statistics -------------
% 1.57/1.79 clauses given 3
% 1.57/1.79 clauses generated 4
% 1.57/1.79 clauses kept 8
% 1.57/1.79 clauses forward subsumed 3
% 1.57/1.79 clauses back subsumed 0
% 1.57/1.79 Kbytes malloced 976
% 1.57/1.79
% 1.57/1.79 ----------- times (seconds) -----------
% 1.57/1.79 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.57/1.79 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.57/1.79 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.57/1.79
% 1.57/1.79 That finishes the proof of the theorem.
% 1.57/1.79
% 1.57/1.79 Process 23934 finished Wed Jul 27 08:25:52 2022
% 1.57/1.79 Otter interrupted
% 1.57/1.79 PROOF FOUND
%------------------------------------------------------------------------------