TSTP Solution File: LCL822-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL822-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n006.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 14:33:13 EDT 2022
% Result : Unsatisfiable 1.72s 1.96s
% Output : Refutation 1.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL822-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : sos-script %s
% 0.12/0.33 % Computer : n006.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 : 600
% 0.12/0.33 % DateTime : Sun Jul 3 07:38:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.38 ----- Otter 3.2, August 2001 -----
% 0.12/0.38 The process was started by sandbox on n006.cluster.edu,
% 0.12/0.38 Sun Jul 3 07:38:07 2022
% 0.12/0.38 The command was "./sos". The process ID is 12886.
% 0.12/0.38
% 0.12/0.38 set(prolog_style_variables).
% 0.12/0.38 set(auto).
% 0.12/0.38 dependent: set(auto1).
% 0.12/0.38 dependent: set(process_input).
% 0.12/0.38 dependent: clear(print_kept).
% 0.12/0.38 dependent: clear(print_new_demod).
% 0.12/0.38 dependent: clear(print_back_demod).
% 0.12/0.38 dependent: clear(print_back_sub).
% 0.12/0.38 dependent: set(control_memory).
% 0.12/0.38 dependent: assign(max_mem, 12000).
% 0.12/0.38 dependent: assign(pick_given_ratio, 4).
% 0.12/0.38 dependent: assign(stats_level, 1).
% 0.12/0.38 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.38 dependent: assign(sos_limit, 5000).
% 0.12/0.38 dependent: assign(max_weight, 60).
% 0.12/0.38 clear(print_given).
% 0.12/0.38
% 0.12/0.38 list(usable).
% 0.12/0.38
% 0.12/0.38 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.12/0.38
% 0.12/0.38 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.38 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.38 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.38 clauses in usable.
% 0.12/0.38
% 0.12/0.38 dependent: set(knuth_bendix).
% 0.12/0.38 dependent: set(para_from).
% 0.12/0.38 dependent: set(para_into).
% 0.12/0.38 dependent: clear(para_from_right).
% 0.12/0.38 dependent: clear(para_into_right).
% 0.12/0.38 dependent: set(para_from_vars).
% 0.12/0.38 dependent: set(eq_units_both_ways).
% 0.12/0.38 dependent: set(dynamic_demod_all).
% 0.12/0.38 dependent: set(dynamic_demod).
% 0.12/0.38 dependent: set(order_eq).
% 0.12/0.38 dependent: set(back_demod).
% 0.12/0.38 dependent: set(lrpo).
% 0.12/0.38 dependent: set(hyper_res).
% 0.12/0.38 dependent: set(unit_deletion).
% 0.12/0.38 dependent: set(factor).
% 0.12/0.38
% 0.12/0.38 ------------> process usable:
% 0.12/0.38 Following clause subsumed by 3 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,D,E),C),B)).
% 0.12/0.38 Following clause subsumed by 4 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))| -hBOOL(hAPP(hAPP(A,E),D)).
% 0.12/0.38 Following clause subsumed by 7 during input processing: 0 [] {-} c_Wellfounded_Oaccp(A,B,C)| -c_Wellfounded_Oaccp(A,D,C)| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,C),B),D)).
% 0.12/0.38 Following clause subsumed by 17 during input processing: 0 [] {-} c_Wellfounded_Oaccp(A,B,C)| -hBOOL(hAPP(hAPP(A,B),D))| -c_Wellfounded_Oaccp(A,D,C).
% 0.12/0.38 Following clause subsumed by 72 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.12/0.38 Following clause subsumed by 94 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.12/0.38 Following clause subsumed by 99 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 0.12/0.38 Following clause subsumed by 99 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 0.12/0.38 Following clause subsumed by 99 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.12/0.38 Following clause subsumed by 94 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.12/0.38 Following clause subsumed by 115 during input processing: 0 [flip.1] {-} c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 0.12/0.38 Following clause subsumed by 116 during input processing: 0 [flip.1] {-} c_List_Oappend(B,A,C)!=A|B=c_List_Olist_ONil(C).
% 0.12/0.38 Following clause subsumed by 129 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.12/0.38 Following clause subsumed by 91 during input processing: 0 [copy,46,flip.1] {-} c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.12/0.38 Following clause subsumed by 125 during input processing: 0 [copy,78,flip.1] {-} c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 0.12/0.38 Following clause subsumed by 46 during input processing: 0 [copy,91,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 0.12/0.38 Following clause subsumed by 124 during input processing: 0 [copy,122,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 0.12/0.38 Following clause subsumed by 122 during input processing: 0 [copy,124,flip.1] {-} c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.12/0.38 Following clause subsumed by 78 during input processing: 0 [copy,125,flip.1] {-} c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 0.12/0.38 Following clause subsumed by 44 during input processing: 0 [copy,154,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).
% 0.12/0.38 Following clause subsumed by 81 during input processing: 0 [copy,155,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).
% 0.12/0.38
% 0.12/0.38 ------------> process sos:
% 0.12/0.38 Following clause subsumed by 168 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 0.12/0.38 Following clause subsumed by 208 during input processing: 0 [demod,206] {-} B=B.
% 0.12/0.38 Following clause subsumed by 208 during input processing: 0 [demod,206] {-} A=A.
% 0.12/0.38 Following clause subsumed by 219 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|c_HOL_Oord__class_Oless(B,C,tc_nat)|C=B|c_HOL_Oord__class_Oless(C,B,tc_nat).
% 0.12/0.38 Following clause subsumed by 219 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.12/0.38 Following clause subsumed by 208 during input processing: 0 [demod,199] {-} B=B.
% 0.12/0.38 Following clause subsumed by 208 during input processing: 0 [demod,203] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.12/0.38 Following clause subsumed by 208 during input processing: 0 [demod,229] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.12/0.38 Following clause subsumed by 208 during input processing: 0 [demod,229] {-} c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 0.12/0.38 Following clause subsumed by 208 during input processing: 0 [demod,229] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.12/0.38 Following clause subsumed by 208 during input processing: 0 [demod,241] {-} hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 0.12/0.38 Following clause subsumed by 208 during input processing: 0 [] {-} A=A.
% 0.12/0.38 Following clause subsumed by 208 during input processing: 0 [copy,194,flip.1] {-} c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 0.12/0.38 Following clause subsumed by 196 during input processing: 0 [copy,196,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)).
% 0.12/0.38 Following clause subsumed by 208 during input processing: 0 [copy,208,flip.1] {-} A=A.
% 0.12/0.38 208 back subsumes 194.
% 0.12/0.38 208 back subsumes 158.
% 0.12/0.38 208 back subsumes 157.
% 0.12/0.38 208 back subsumes 156.
% 0.12/0.38 Following clause subsumed by 217 during input processing: 0 [copy,217,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 0.12/0.38 Following clause subsumed by 186 during input processing: 0 [copy,258,flip.1] {-} c_List_Ofoldl(A,B,c_List_Oappend(C,D,E),F,E)=c_List_Ofoldl(A,c_List_Ofoldl(A,B,C,F,E),D,F,E).
% 0.12/0.38 Following clause subsumed by 256 during input processing: 0 [copy,259,flip.1] {-} c_COMBC(A,B,C,D,E,F)=hAPP(hAPP(A,C),B).
% 0.12/0.38
% 0.12/0.38 ======= end of input processing =======
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 Failed to model usable list: disabling FINDER
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 -------------- Softie stats --------------
% 0.19/0.52
% 0.19/0.52 UPDATE_STOP: 300
% 0.19/0.52 SFINDER_TIME_LIMIT: 2
% 0.19/0.52 SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.52 number of clauses in intial UL: 152
% 0.19/0.52 number of clauses initially in problem: 228
% 0.19/0.52 percentage of clauses intially in UL: 66
% 0.19/0.52 percentage of distinct symbols occuring in initial UL: 86
% 0.19/0.52 percent of all initial clauses that are short: 100
% 0.19/0.52 absolute distinct symbol count: 67
% 0.19/0.52 distinct predicate count: 16
% 0.19/0.52 distinct function count: 31
% 0.19/0.52 distinct constant count: 20
% 0.19/0.52
% 0.19/0.52 ---------- no more Softie stats ----------
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 =========== start of search ===========
% 1.10/1.29
% 1.10/1.29
% 1.10/1.29 Changing weight limit from 60 to 31.
% 1.10/1.29
% 1.10/1.29 Resetting weight limit to 31 after 60 givens.
% 1.10/1.29
% 1.10/1.37
% 1.10/1.37
% 1.10/1.37 Changing weight limit from 31 to 28.
% 1.10/1.37
% 1.10/1.37 Resetting weight limit to 28 after 65 givens.
% 1.10/1.37
% 1.24/1.42
% 1.24/1.42
% 1.24/1.42 Changing weight limit from 28 to 25.
% 1.24/1.42
% 1.24/1.42 Resetting weight limit to 25 after 70 givens.
% 1.24/1.42
% 1.25/1.46
% 1.25/1.46
% 1.25/1.46 Changing weight limit from 25 to 23.
% 1.25/1.46
% 1.25/1.46 Resetting weight limit to 23 after 75 givens.
% 1.25/1.46
% 1.25/1.50
% 1.25/1.50
% 1.25/1.50 Changing weight limit from 23 to 22.
% 1.25/1.50
% 1.25/1.50 Resetting weight limit to 22 after 80 givens.
% 1.25/1.50
% 1.34/1.55
% 1.34/1.55
% 1.34/1.55 Changing weight limit from 22 to 21.
% 1.34/1.55
% 1.34/1.55 Resetting weight limit to 21 after 85 givens.
% 1.34/1.55
% 1.50/1.68
% 1.50/1.68
% 1.50/1.68 Changing weight limit from 21 to 20.
% 1.50/1.68
% 1.50/1.68 Resetting weight limit to 20 after 90 givens.
% 1.50/1.68
% 1.64/1.82
% 1.64/1.82
% 1.64/1.82 Changing weight limit from 20 to 18.
% 1.64/1.82
% 1.64/1.82 Resetting weight limit to 18 after 95 givens.
% 1.64/1.82
% 1.64/1.89
% 1.64/1.89
% 1.64/1.89 Changing weight limit from 18 to 17.
% 1.64/1.89
% 1.64/1.89 Resetting weight limit to 17 after 100 givens.
% 1.64/1.89
% 1.72/1.96
% 1.72/1.96 -------- PROOF --------
% 1.72/1.96 % SZS status Unsatisfiable
% 1.72/1.96 % SZS output start Refutation
% 1.72/1.96
% 1.72/1.96 ----> UNIT CONFLICT at 1.57 sec ----> 10759 [binary,10758.1,147.1] {-} $F.
% 1.72/1.96
% 1.72/1.96 Length of proof is 1. Level of proof is 1.
% 1.72/1.96
% 1.72/1.96 ---------------- PROOF ----------------
% 1.72/1.96 % SZS status Unsatisfiable
% 1.72/1.96 % SZS output start Refutation
% 1.72/1.96
% 1.72/1.96 132 [] {+} c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(A),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),B,tc_Lambda_OdB)| -c_Type_Otypings(A,B,C).
% 1.72/1.96 147 [] {+} -c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_rs____,tc_Lambda_OdB).
% 1.72/1.96 243 [] {-} c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,v_Ts____).
% 1.72/1.96 10758 [hyper,243,132] {-} c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_rs____,tc_Lambda_OdB).
% 1.72/1.96 10759 [binary,10758.1,147.1] {-} $F.
% 1.72/1.96
% 1.72/1.96 % SZS output end Refutation
% 1.72/1.96 ------------ end of proof -------------
% 1.72/1.96
% 1.72/1.96
% 1.72/1.96 Search stopped by max_proofs option.
% 1.72/1.96
% 1.72/1.96
% 1.72/1.96 Search stopped by max_proofs option.
% 1.72/1.96
% 1.72/1.96 ============ end of search ============
% 1.72/1.96
% 1.72/1.96 That finishes the proof of the theorem.
% 1.72/1.96
% 1.72/1.96 Process 12886 finished Sun Jul 3 07:38:09 2022
%------------------------------------------------------------------------------