TSTP Solution File: LCL762-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL762-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n013.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 14:32:43 EDT 2022
% Result : Unsatisfiable 0.18s 0.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL762-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n013.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 : Sat Jul 2 14:16:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.40 ----- Otter 3.2, August 2001 -----
% 0.18/0.40 The process was started by sandbox2 on n013.cluster.edu,
% 0.18/0.40 Sat Jul 2 14:16:14 2022
% 0.18/0.40 The command was "./sos". The process ID is 645.
% 0.18/0.40
% 0.18/0.40 set(prolog_style_variables).
% 0.18/0.40 set(auto).
% 0.18/0.40 dependent: set(auto1).
% 0.18/0.40 dependent: set(process_input).
% 0.18/0.40 dependent: clear(print_kept).
% 0.18/0.40 dependent: clear(print_new_demod).
% 0.18/0.40 dependent: clear(print_back_demod).
% 0.18/0.40 dependent: clear(print_back_sub).
% 0.18/0.40 dependent: set(control_memory).
% 0.18/0.40 dependent: assign(max_mem, 12000).
% 0.18/0.40 dependent: assign(pick_given_ratio, 4).
% 0.18/0.40 dependent: assign(stats_level, 1).
% 0.18/0.40 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.40 dependent: assign(sos_limit, 5000).
% 0.18/0.40 dependent: assign(max_weight, 60).
% 0.18/0.40 clear(print_given).
% 0.18/0.40
% 0.18/0.40 list(usable).
% 0.18/0.40
% 0.18/0.40 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.18/0.40
% 0.18/0.40 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.40 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.40 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.40 clauses in usable.
% 0.18/0.40
% 0.18/0.40 dependent: set(knuth_bendix).
% 0.18/0.40 dependent: set(para_from).
% 0.18/0.40 dependent: set(para_into).
% 0.18/0.40 dependent: clear(para_from_right).
% 0.18/0.40 dependent: clear(para_into_right).
% 0.18/0.40 dependent: set(para_from_vars).
% 0.18/0.40 dependent: set(eq_units_both_ways).
% 0.18/0.40 dependent: set(dynamic_demod_all).
% 0.18/0.40 dependent: set(dynamic_demod).
% 0.18/0.40 dependent: set(order_eq).
% 0.18/0.40 dependent: set(back_demod).
% 0.18/0.40 dependent: set(lrpo).
% 0.18/0.40 dependent: set(hyper_res).
% 0.18/0.40 dependent: set(unit_deletion).
% 0.18/0.40 dependent: set(factor).
% 0.18/0.40
% 0.18/0.40 ------------> process usable:
% 0.18/0.40 Following clause subsumed by 10 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,D,E),C),B)).
% 0.18/0.40 Following clause subsumed by 11 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))| -hBOOL(hAPP(hAPP(A,E),D)).
% 0.18/0.40 Following clause subsumed by 12 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.18/0.40 Following clause subsumed by 16 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)).
% 0.18/0.40 Following clause subsumed by 25 during input processing: 0 [flip.1] {-} c_List_Oappend(c_List_Olist__update(A,D,E,C),B,C)=c_List_Olist__update(c_List_Oappend(A,B,C),D,E,C)| -c_HOL_Oord__class_Oless(D,c_Nat_Osize__class_Osize(A,tc_List_Olist(C)),tc_nat).
% 0.18/0.40 Following clause subsumed by 26 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.18/0.40 Following clause subsumed by 31 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.
% 0.18/0.40 Following clause subsumed by 31 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).
% 0.18/0.40 Following clause subsumed by 31 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).
% 0.18/0.40 Following clause subsumed by 26 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).
% 0.18/0.40 Following clause subsumed by 43 during input processing: 0 [] {-} c_Wellfounded_Oaccp(A,B,C)| -hBOOL(hAPP(hAPP(A,B),D))| -c_Wellfounded_Oaccp(A,D,C).
% 0.18/0.40 Following clause subsumed by 44 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.18/0.40 Following clause subsumed by 110 during input processing: 0 [flip.1] {-} c_List_Olist_OCons(B,A,C)!=A.
% 0.18/0.40 Following clause subsumed by 113 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 0.18/0.40 Following clause subsumed by 128 during input processing: 0 [] {-} c_List_Oappend(A,B,C)!=B|A=c_List_Olist_ONil(C).
% 0.18/0.40 Following clause subsumed by 130 during input processing: 0 [] {-} c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 0.18/0.40 Following clause subsumed by 105 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_List_Olinorder__class_Osorted(c_List_Olist_OCons(B,C,A),A)| -c_List_Olinorder__class_Osorted(c_List_Olist_OCons(D,c_List_Olist_OCons(B,C,A),A),A).
% 0.18/0.40 Following clause subsumed by 148 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.18/0.40 Following clause subsumed by 148 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.18/0.40 Following clause subsumed by 174 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 0.18/0.40 Following clause subsumed by 195 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Lambda_OdB_OdB__case(B,C,D,c_Lambda_OdB_OAbs(E),t_a)))|hBOOL(hAPP(A,hAPP(D,E))).
% 0.18/0.40 Following clause subsumed by 206 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_List_Olist_Olist__case(B,C,c_List_Olist_OCons(D,E,t_b),t_a,t_b)))|hBOOL(hAPP(A,hAPP(hAPP(C,D),E))).
% 0.18/0.40 Following clause subsumed by 218 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.18/0.40 Following clause subsumed by 231 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Lambda_OdB_OdB__case(B,C,D,hAPP(hAPP(c_Lambda_OdB_OApp,E),F),t_a)))|hBOOL(hAPP(A,hAPP(hAPP(C,E),F))).
% 0.18/0.40 Following clause subsumed by 252 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Lambda_OdB_OdB__case(B,C,D,c_Lambda_OdB_OVar(E),t_a)))|hBOOL(hAPP(A,hAPP(B,E))).
% 0.18/0.40 Following clause subsumed by 218 during input processing: 0 [copy,134,flip.1] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.18/0.40 Following clause subsumed by 134 during input processing: 0 [copy,218,flip.1] {-} c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 0.18/0.40 Following clause subsumed by 230 during input processing: 0 [copy,229,flip.1] {-} c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.18/0.40 Following clause subsumed by 229 during input processing: 0 [copy,230,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 0.18/0.40 Following clause subsumed by 254 during input processing: 0 [copy,251,flip.1] {-} c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 0.18/0.40 Following clause subsumed by 251 during input processing: 0 [copy,254,flip.1] {-} c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 0.18/0.40 Following clause subsumed by 288 during input processing: 0 [copy,285,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 0.18/0.40 Following clause subsumed by 285 during input processing: 0 [copy,288,flip.1] {-} c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.18/0.40 Following clause subsumed by 271 during input processing: 0 [copy,305,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).
% 0.18/0.40 Following clause subsumed by 272 during input processing: 0 [copy,306,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).
% 0.18/0.40
% 0.18/0.40 ------------> process sos:
% 0.18/0.40 Following clause subsumed by 324 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).
% 0.18/0.40 Following clause subsumed by 324 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.18/0.40 Following clause subsumed by 357 during input processing: 0 [demod,355] {-} c_List_Omap(A,c_List_Olist_OCons(B,C,D),D,E)=c_List_Omap(A,c_List_Olist_OCons(B,C,D),D,E).
% 0.18/0.40 Following clause subsumed by 397 during input processing: 0 [demod,395] {-} A=A.
% 0.18/0.40 Following clause subsumed by 397 during input processing: 0 [demod,400] {-} A=A.
% 0.18/0.41 Following clause subsumed by 397 during input processing: 0 [demod,362] {-} c_List
% 0.18/0.41 -------- PROOF --------
% 0.18/0.41 % SZS status Unsatisfiable
% 0.18/0.41 % SZS output start Refutation
% 0.18/0.41 _Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 0.18/0.41 Following clause subsumed by 397 during input processing: 0 [demod,362] {-} c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 0.18/0.41 Following clause subsumed by 397 during input processing: 0 [demod,376] {-} c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 0.18/0.41 Following clause subsumed by 410 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 0.18/0.41 Following clause subsumed by 397 during input processing: 0 [demod,415] {-} A=A.
% 0.18/0.41 Following clause subsumed by 397 during input processing: 0 [demod,415] {-} A=A.
% 0.18/0.41 Following clause subsumed by 397 during input processing: 0 [demod,395] {-} c_List_Olist_OCons(B,C,A)=c_List_Olist_OCons(B,C,A).
% 0.18/0.41 Following clause subsumed by 397 during input processing: 0 [demod,434] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.18/0.41 Following clause subsumed by 397 during input processing: 0 [demod,434] {-} c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 0.18/0.41 Following clause subsumed by 397 during input processing: 0 [demod,434] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.18/0.41 Following clause subsumed by 397 during input processing: 0 [demod,439] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.18/0.41 Following clause subsumed by 397 during input processing: 0 [demod,439] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.18/0.41 Following clause subsumed by 397 during input processing: 0 [demod,400] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.18/0.41 Following clause subsumed by 397 during input processing: 0 [demod,387] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.18/0.41 Following clause subsumed by 397 during input processing: 0 [demod,346] {-} B=B.
% 0.18/0.41 Following clause subsumed by 397 during input processing: 0 [demod,480] {-} c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 0.18/0.41 Following clause subsumed by 397 during input processing: 0 [demod,485] {-} c_Lambda_OdB_OVar(A)=c_Lambda_OdB_OVar(A).
% 0.18/0.41
% 0.18/0.41 ----> UNIT CONFLICT at 0.03 sec ----> 488 [binary,487.1,289.1] {-} $F.
% 0.18/0.41
% 0.18/0.41 Length of proof is 1. Level of proof is 1.
% 0.18/0.41
% 0.18/0.41 ---------------- PROOF ----------------
% 0.18/0.41 % SZS status Unsatisfiable
% 0.18/0.41 % SZS output start Refutation
% 0.18/0.41
% 0.18/0.41 289 [] {-} -hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n))).
% 0.18/0.41 485,484 [] {-} c_List_Ofoldl(A,B,c_List_Olist_ONil(C),D,C)=B.
% 0.18/0.41 486 [] {-} hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))).
% 0.18/0.41 487 [copy,486,demod,485] {-} hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(v_n))).
% 0.18/0.41 488 [binary,487.1,289.1] {-} $F.
% 0.18/0.41
% 0.18/0.41 % SZS output end Refutation
% 0.18/0.41 ------------ end of proof -------------
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 Search stopped by max_proofs option.
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 Search stopped by max_proofs option.
% 0.18/0.41
% 0.18/0.41 ============ end of search ============
% 0.18/0.41
% 0.18/0.41 That finishes the proof of the theorem.
% 0.18/0.41
% 0.18/0.41 Process 645 finished Sat Jul 2 14:16:14 2022
%------------------------------------------------------------------------------