%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LAT277-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n028.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 1.73s 1.93s
% Output : Refutation 1.73s
% 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 : 15 ( 4 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('LAT277-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_Relation_Orefl(A,B,C)
| ~ c_in(D,A,C)
| c_in(c_Pair(D,D,C,C),B,tc_prod(C,C)) ),
file('LAT277-2.p',unknown),
[] ).
cnf(3,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('LAT277-2.p',unknown),
[] ).
cnf(5,axiom,
c_in(v_x,v_A,t_a),
file('LAT277-2.p',unknown),
[] ).
cnf(6,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('LAT277-2.p',unknown),
[] ).
cnf(8,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)],[6])]),
[iquote('copy,6,flip.1')] ).
cnf(9,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('LAT277-2.p',unknown),
[] ).
cnf(10,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('LAT277-2.p',unknown),
[] ).
cnf(12,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)],[10])]),
[iquote('copy,10,flip.1')] ).
cnf(14,plain,
c_Relation_Orefl(v_A,v_r,t_a),
inference(demod,[status(thm),theory(equality)],[inference(hyper,[status(thm)],[9,3]),8,12]),
[iquote('hyper,9,3,demod,8,12')] ).
cnf(15,plain,
c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(hyper,[status(thm)],[14,2,5]),
[iquote('hyper,14,2,5')] ).
cnf(16,plain,
$false,
inference(binary,[status(thm)],[15,1]),
[iquote('binary,15.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LAT277-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 08:36:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.73/1.93 ----- Otter 3.3f, August 2004 -----
% 1.73/1.93 The process was started by sandbox2 on n028.cluster.edu,
% 1.73/1.93 Wed Jul 27 08:36:34 2022
% 1.73/1.93 The command was "./otter". The process ID is 20837.
% 1.73/1.93
% 1.73/1.93 set(prolog_style_variables).
% 1.73/1.93 set(auto).
% 1.73/1.93 dependent: set(auto1).
% 1.73/1.93 dependent: set(process_input).
% 1.73/1.93 dependent: clear(print_kept).
% 1.73/1.93 dependent: clear(print_new_demod).
% 1.73/1.93 dependent: clear(print_back_demod).
% 1.73/1.93 dependent: clear(print_back_sub).
% 1.73/1.93 dependent: set(control_memory).
% 1.73/1.93 dependent: assign(max_mem, 12000).
% 1.73/1.93 dependent: assign(pick_given_ratio, 4).
% 1.73/1.93 dependent: assign(stats_level, 1).
% 1.73/1.93 dependent: assign(max_seconds, 10800).
% 1.73/1.93 clear(print_given).
% 1.73/1.93
% 1.73/1.93 list(usable).
% 1.73/1.93 0 [] A=A.
% 1.73/1.93 0 [] c_in(v_x,v_A,t_a).
% 1.73/1.93 0 [] -c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 1.73/1.93 0 [] -c_Relation_Orefl(V_A,V_r,T_a)| -c_in(V_a,V_A,T_a)|c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)).
% 1.73/1.93 0 [] v_A=c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit).
% 1.73/1.93 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).
% 1.73/1.93 0 [] c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)).
% 1.73/1.93 0 [] v_r=c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit).
% 1.73/1.93 end_of_list.
% 1.73/1.93
% 1.73/1.93 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=3.
% 1.73/1.93
% 1.73/1.93 This is a Horn set with equality. The strategy will be
% 1.73/1.93 Knuth-Bendix and hyper_res, with positive clauses in
% 1.73/1.93 sos and nonpositive clauses in usable.
% 1.73/1.93
% 1.73/1.93 dependent: set(knuth_bendix).
% 1.73/1.93 dependent: set(anl_eq).
% 1.73/1.93 dependent: set(para_from).
% 1.73/1.93 dependent: set(para_into).
% 1.73/1.93 dependent: clear(para_from_right).
% 1.73/1.93 dependent: clear(para_into_right).
% 1.73/1.93 dependent: set(para_from_vars).
% 1.73/1.93 dependent: set(eq_units_both_ways).
% 1.73/1.93 dependent: set(dynamic_demod_all).
% 1.73/1.93 dependent: set(dynamic_demod).
% 1.73/1.93 dependent: set(order_eq).
% 1.73/1.93 dependent: set(back_demod).
% 1.73/1.93 dependent: set(lrpo).
% 1.73/1.93 dependent: set(hyper_res).
% 1.73/1.93 dependent: clear(order_hyper).
% 1.73/1.93
% 1.73/1.93 ------------> process usable:
% 1.73/1.93 ** KEPT (pick-wt=10): 1 [] -c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)).
% 1.73/1.93 ** KEPT (pick-wt=18): 2 [] -c_Relation_Orefl(A,B,C)| -c_in(D,A,C)|c_in(c_Pair(D,D,C,C),B,tc_prod(C,C)).
% 1.73/1.93 ** KEPT (pick-wt=16): 3 [] -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).
% 1.73/1.93
% 1.73/1.93 ------------> process sos:
% 1.73/1.93 ** KEPT (pick-wt=3): 4 [] A=A.
% 1.73/1.93 ** KEPT (pick-wt=4): 5 [] c_in(v_x,v_A,t_a).
% 1.73/1.93 ** KEPT (pick-wt=6): 7 [copy,6,flip.1] c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)=v_A.
% 1.73/1.93 ---> New Demodulator: 8 [new_demod,7] c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)=v_A.
% 1.73/1.93 ** KEPT (pick-wt=6): 9 [] c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)).
% 1.73/1.93 ** KEPT (pick-wt=6): 11 [copy,10,flip.1] c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r.
% 1.73/1.93 ---> New Demodulator: 12 [new_demod,11] c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)=v_r.
% 1.73/1.93 Following clause subsumed by 4 during input processing: 0 [copy,4,flip.1] A=A.
% 1.73/1.93 >>>> Starting back demodulation with 8.
% 1.73/1.93 >>>> Starting back demodulation with 12.
% 1.73/1.93
% 1.73/1.93 ======= end of input processing =======
% 1.73/1.93
% 1.73/1.93 =========== start of search ===========
% 1.73/1.93
% 1.73/1.93 -------- PROOF --------
% 1.73/1.93
% 1.73/1.93 ----> UNIT CONFLICT at 0.00 sec ----> 16 [binary,15.1,1.1] $F.
% 1.73/1.93
% 1.73/1.93 Length of proof is 4. Level of proof is 3.
% 1.73/1.93
% 1.73/1.93 ---------------- PROOF ----------------
% 1.73/1.93 % SZS status Unsatisfiable
% 1.73/1.93 % SZS output start Refutation
% See solution above
% 1.73/1.93 ------------ end of proof -------------
% 1.73/1.93
% 1.73/1.93
% 1.73/1.93 Search stopped by max_proofs option.
% 1.73/1.93
% 1.73/1.93
% 1.73/1.93 Search stopped by max_proofs option.
% 1.73/1.93
% 1.73/1.93 ============ end of search ============
% 1.73/1.93
% 1.73/1.93 -------------- statistics -------------
% 1.73/1.93 clauses given 5
% 1.73/1.93 clauses generated 5
% 1.73/1.93 clauses kept 11
% 1.73/1.93 clauses forward subsumed 3
% 1.73/1.93 clauses back subsumed 1
% 1.73/1.93 Kbytes malloced 976
% 1.73/1.93
% 1.73/1.93 ----------- times (seconds) -----------
% 1.73/1.93 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.73/1.93 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.73/1.93 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.73/1.93
% 1.73/1.93 That finishes the proof of the theorem.
% 1.73/1.93
% 1.73/1.93 Process 20837 finished Wed Jul 27 08:36:35 2022
% 1.73/1.93 Otter interrupted
% 1.73/1.93 PROOF FOUND
%------------------------------------------------------------------------------