TSTP Solution File: LCL858-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL858-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n020.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 : 600s
% DateTime : Sun Jul 17 14:33:29 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL858-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 4 06:33:29 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.37 ----- Otter 3.2, August 2001 -----
% 0.13/0.37 The process was started by sandbox on n020.cluster.edu,
% 0.13/0.37 Mon Jul 4 06:33:29 2022
% 0.13/0.37 The command was "./sos". The process ID is 14905.
% 0.13/0.37
% 0.13/0.37 set(prolog_style_variables).
% 0.13/0.37 set(auto).
% 0.13/0.37 dependent: set(auto1).
% 0.13/0.37 dependent: set(process_input).
% 0.13/0.37 dependent: clear(print_kept).
% 0.13/0.37 dependent: clear(print_new_demod).
% 0.13/0.37 dependent: clear(print_back_demod).
% 0.13/0.37 dependent: clear(print_back_sub).
% 0.13/0.37 dependent: set(control_memory).
% 0.13/0.37 dependent: assign(max_mem, 12000).
% 0.13/0.37 dependent: assign(pick_given_ratio, 4).
% 0.13/0.37 dependent: assign(stats_level, 1).
% 0.13/0.37 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.37 dependent: assign(sos_limit, 5000).
% 0.13/0.37 dependent: assign(max_weight, 60).
% 0.13/0.37 clear(print_given).
% 0.13/0.37
% 0.13/0.37 list(usable).
% 0.13/0.37
% 0.13/0.37 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.13/0.37
% 0.13/0.37 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.37 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.37 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.37 clauses in usable.
% 0.13/0.37
% 0.13/0.37 dependent: set(knuth_bendix).
% 0.13/0.37 dependent: set(para_from).
% 0.13/0.37 dependent: set(para_into).
% 0.13/0.37 dependent: clear(para_from_right).
% 0.13/0.37 dependent: clear(para_into_right).
% 0.13/0.37 dependent: set(para_from_vars).
% 0.13/0.37 dependent: set(eq_units_both_ways).
% 0.13/0.37 dependent: set(dynamic_demod_all).
% 0.13/0.37 dependent: set(dynamic_demod).
% 0.13/0.37 dependent: set(order_eq).
% 0.13/0.37 dependent: set(back_demod).
% 0.13/0.37 dependent: set(lrpo).
% 0.13/0.37 dependent: set(hyper_res).
% 0.13/0.37 dependent: set(unit_deletion).
% 0.13/0.37 dependent: set(factor).
% 0.13/0.37
% 0.13/0.37 ------------> process usable:
% 0.13/0.37 Following clause subsumed by 9 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.13/0.37 Following clause subsumed by 11 during input processing: 0 [flip.1] {-} c_List_Olist_OCons(B,A,C)!=A.
% 0.13/0.37 Following clause subsumed by 103 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Transitive__Closure_Otranclp(A,B),C),D))|C=D| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D)).
% 0.13/0.37 Following clause subsumed by 122 during input processing: 0 [] {-} hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(hAPP(A,C),D))| -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),D)).
% 0.13/0.37 Following clause subsumed by 133 during input processing: 0 [] {-} hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),D))| -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),D)).
% 0.13/0.37 Following clause subsumed by 140 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))| -hBOOL(hAPP(hAPP(A,E),D)).
% 0.13/0.37 Following clause subsumed by 141 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,D,E),C),B)).
% 0.13/0.37 Following clause subsumed by 9 during input processing: 0 [copy,5,flip.1] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.13/0.37 Following clause subsumed by 5 during input processing: 0 [copy,9,flip.1] {-} c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 0.13/0.37 Following clause subsumed by 92 during input processing: 0 [copy,45,flip.1] {-} c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.13/0.37 Following clause subsumed by 116 during input processing: 0 [copy,79,flip.1] {-} c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 0.13/0.37 Following clause subsumed by 45 during input processing: 0 [copy,92,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 0.13/0.37 Following clause subsumed by 115 during input processing: 0 [copy,112,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 0.13/0.37 Following clause subsumed by 112 during input processing: 0 [copy,115,flip.1] {-} c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.13/0.37 Following clause subsumed by 79 during input processing: 0 [copy,116,flip.1] {-} c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 0.13/0.37 Following clause subsumed by 47 during input processing: 0 [copy,165,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(A)),B)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 0.13/0.37 Following clause subsumed by 86 during input processing: 0 [copy,168,flip.1] {-} c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(A),B,tc_Lambda_OdB,tc_Lambda_OdB)!=c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(C),D,tc_Lambda_OdB,tc_Lambda_OdB).
% 0.13/0.37
% 0.13/0.37 ------------> process sos:
% 0.13/0.37 Following clause subsumed by 185 during input processing: 0 [demod,182] {-} c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 0.13/0.37 Following clause subsumed by 193 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 0.13/0.37 Following clause subsumed by 233 during input processing: 0 [copy,185,flip.1] {-} c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 0.13/0.37 Following clause subsumed by 233 during input processing: 0 [copy,187,flip.1] {-} c_Lambda_OdB_OVar(A)=c_Lambda_OdB_OVar(A).
% 0.13/0.37 Following clause subsumed by 233 during input processing: 0 [copy,233,flip.1] {-} A=A.
% 0.13/0.37 233 back subsumes 187.
% 0.13/0.37 233 back subsumes 185.
% 0.13/0.37 233 back subsumes 169.
% 0.13/0.37 Following clause subsumed by 175 during input processing: 0 [copy,234,flip.1] {-} c_List_Ofoldl(A,B,c_List_Olist_OCons(C,D,E),F,E)=c_List_Ofoldl(A,hAPP(hAPP(A,B),C),D,F,E).
% 0.13/0.37 Following clause subsumed by 218 during input processing: 0 [copy,235,flip.1] {-} c_Predicate_Oconversep(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_fun(D,tc_bool))),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Predicate_Oconversep(A,C,D),c_Predicate_Oconversep(B,C,D),tc_fun(D,tc_fun(C,tc_bool))).
% 0.13/0.37 Following clause subsumed by 219 during input processing: 0 [copy,236,flip.1] {-} c_Predicate_Oconversep(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_fun(D,tc_bool))),C,D)=c_Lattices_Olower__semilattice__class_Oinf(c_Predicate_Oconversep(A,C,D),c_Predicate_Oconversep(B,C,D),tc_fun(D,tc_fun(C,tc_bool))).
% 0.13/0.37
% 0.13/0.37 ======= end of input processing =======
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 Failed to model usable list: disabling FINDER
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 -------------- Softie stats --------------
% 0.18/0.50
% 0.18/0.50 UPDATE_STOP: 300
% 0.18/0.50 SFINDER_TIME_LIMIT: 2
% 0.18/0.50 SHORT_CLAUSE_CUTOFF: 4
% 0.18/0.50 number of clauses in intial UL: 166
% 0.18/0.50 number of clauses initially in problem: 219
% 0.18/0.50 percentage of clauses intially in UL: 75
% 0.18/0.50 percentage of distinct symbols occuring in initial UL: 100
% 0.18/0.50 percent of all initial clauses that are short: 100
% 0.18/0.50 absolute distinct symbol count: 49
% 0.18/0.50 distinct predicate count: 9
% 0.18/0.50 distinct function count: 31
% 0.18/0.50 distinct constant count: 9
% 0.18/0.50
% 0.18/0.50 ---------- no more Softie stats ----------
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 =========== start of search ===========
% 0.18/0.51
% 0.18/0.51 -------- PROOF --------
% 0.18/0.51 % SZS status Unsatisfiable
% 0.18/0.51 % SZS output start Refutation
% 0.18/0.51
% 0.18/0.51 ----> UNIT CONFLICT at 0.12 sec ----> 750 [binary,749.1,156.1] {-} $F.
% 0.18/0.51
% 0.18/0.51 Length of proof is 1. Level of proof is 1.
% 0.18/0.51
% 0.18/0.51 ---------------- PROOF ----------------
% 0.18/0.51 % SZS status Unsatisfiable
% 0.18/0.51 % SZS output start Refutation
% 0.18/0.51
% 0.18/0.51 132 [] {+} hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),A))| -hBOOL(hAPP(c_InductTermi_OIT,A)).
% 0.18/0.51 156 [] {+} -hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)).
% 0.18/0.51 223 [] {-} hBOOL(hAPP(c_InductTermi_OIT,v_t)).
% 0.18/0.51 749 [hyper,223,132] {-} hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),v_t)).
% 0.18/0.51 750 [binary,749.1,156.1] {-} $F.
% 0.18/0.51
% 0.18/0.51 % SZS output end Refutation
% 0.18/0.51 ------------ end of proof -------------
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 Search stopped by max_proofs option.
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 Search stopped by max_proofs option.
% 0.18/0.51
% 0.18/0.51 ============ end of search ============
% 0.18/0.51
% 0.18/0.51 That finishes the proof of the theorem.
% 0.18/0.51
% 0.18/0.51 Process 14905 finished Mon Jul 4 06:33:30 2022
%------------------------------------------------------------------------------