%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL789-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n026.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 14:32:57 EDT 2022
% Result : Unsatisfiable 0.12s 0.39s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL789-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n026.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 4 20:23:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.39 ----- Otter 3.2, August 2001 -----
% 0.12/0.39 The process was started by sandbox on n026.cluster.edu,
% 0.12/0.39 Mon Jul 4 20:23:52 2022
% 0.12/0.39 The command was "./sos". The process ID is 7676.
% 0.12/0.39
% 0.12/0.39 set(prolog_style_variables).
% 0.12/0.39 set(auto).
% 0.12/0.39 dependent: set(auto1).
% 0.12/0.39 dependent: set(process_input).
% 0.12/0.39 dependent: clear(print_kept).
% 0.12/0.39 dependent: clear(print_new_demod).
% 0.12/0.39 dependent: clear(print_back_demod).
% 0.12/0.39 dependent: clear(print_back_sub).
% 0.12/0.39 dependent: set(control_memory).
% 0.12/0.39 dependent: assign(max_mem, 12000).
% 0.12/0.39 dependent: assign(pick_given_ratio, 4).
% 0.12/0.39 dependent: assign(stats_level, 1).
% 0.12/0.39 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.39 dependent: assign(sos_limit, 5000).
% 0.12/0.39 dependent: assign(max_weight, 60).
% 0.12/0.39 clear(print_given).
% 0.12/0.39
% 0.12/0.39 list(usable).
% 0.12/0.39
% 0.12/0.39 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.12/0.39
% 0.12/0.39 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.39 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.39 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.39 clauses in usable.
% 0.12/0.39
% 0.12/0.39 dependent: set(knuth_bendix).
% 0.12/0.39 dependent: set(para_from).
% 0.12/0.39 dependent: set(para_into).
% 0.12/0.39 dependent: clear(para_from_right).
% 0.12/0.39 dependent: clear(para_into_right).
% 0.12/0.39 dependent: set(para_from_vars).
% 0.12/0.39 dependent: set(eq_units_both_ways).
% 0.12/0.39 dependent: set(dynamic_demod_all).
% 0.12/0.39 dependent: set(dynamic_demod).
% 0.12/0.39 dependent: set(order_eq).
% 0.12/0.39 dependent: set(back_demod).
% 0.12/0.39 dependent: set(lrpo).
% 0.12/0.39 dependent: set(hyper_res).
% 0.12/0.39 dependent: set(unit_deletion).
% 0.12/0.39 dependent: set(factor).
% 0.12/0.39
% 0.12/0.39 ------------> process usable:
% 0.12/0.39 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)).
% 0.12/0.39 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)).
% 0.12/0.39 Following clause subsumed by 19 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)).
% 0.12/0.39 Following clause subsumed by 39 during input processing: 0 [] {-} c_Wellfounded_Oaccp(A,B,C)| -hBOOL(hAPP(hAPP(A,B),D))| -c_Wellfounded_Oaccp(A,D,C).
% 0.12/0.39 Following clause subsumed by 90 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).
% 0.12/0.39 Following clause subsumed by 100 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)).
% 0.12/0.39 Following clause subsumed by 100 during input processing: 0 [] {-} -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)).
% 0.12/0.39 Following clause subsumed by 115 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.
% 0.12/0.39 Following clause subsumed by 147 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=B.
% 0.12/0.39 Following clause subsumed by 152 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Type_Otype_Otype__case(B,C,c_Type_Otype_OAtom(D),t_a)))|hBOOL(hAPP(A,hAPP(B,D))).
% 0.12/0.39 Following clause subsumed by 153 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.12/0.39 Following clause subsumed by 181 during input processing: 0 [flip.1] {-} c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 0.12/0.39 Following clause subsumed by 182 during input processing: 0 [flip.1] {-} c_List_Oappend(B,A,C)!=A|B=c_List_Olist_ONil(C).
% 0.12/0.39 Following clause subsumed by 210 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Type_Otype_Otype__case(B,C,hAPP(hAPP(c_Type_Otype_OFun,D),E),t_a)))|hBOOL(hAPP(A,hAPP(hAPP(C,D),E))).
% 0.12/0.39 91 back subsumes 33.
% 0.12/0.39 Following clause subsumed by 169 during input processing: 0 [copy,142,flip.1] {-} c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.12/0.39 Following clause subsumed by 178 during input processing: 0 [copy,153,flip.1] {-} c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 0.12/0.39 Following clause subsumed by 191 during input processing: 0 [copy,162,flip.1] {-} c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 0.12/0.39 Following clause subsumed by 142 during input processing: 0 [copy,169,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 0.12/0.39 Following clause subsumed by 153 during input processing: 0 [copy,178,flip.1] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.12/0.39 Following clause subsumed by 190 during input processing: 0 [copy,187,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 0.12/0.39 Following clause subsumed by 187 during input processing: 0 [copy,190,flip.1] {-} c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.12/0.39 Following clause subsumed by 162 during input processing: 0 [copy,191,flip.1] {-} c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 0.12/0.39 Following clause subsumed by 211 during input processing: 0 [copy,194,flip.1] {-} c_Type_Otype_OAtom(A)!=hAPP(hAPP(c_Type_Otype_OFun,B),C).
% 0.12/0.39 Following clause subsumed by 194 during input processing: 0 [copy,211,flip.1] {-} hAPP(hAPP(c_Type_Otype_OFun,A),B)!=c_Type_Otype_OAtom(C).
% 0.12/0.39 Following clause subsumed by 144 during input processing: 0 [copy,223,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).
% 0.12/0.39 Following clause subsumed by 163 during input processing: 0 [copy,224,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).
% 0.12/0.39
% 0.12/0.39 ------------> process sos:
% 0.12/0.39 Following clause subsumed by 242 during input processing: 0 [demod,240] {-} A=A.
% 0.12/0.39 Following clause subsumed by 242 during input processing: 0 [demod,230] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.12/0.39 Following clause subsumed by 254 during input processing: 0 [] {-} c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB)=c_List_Olist_ONil(tc_Lambda_OdB)|hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,C,A,tc_Lambda_OdB,tc_Lambda_OdB)),B)=c_List_Ofoldl(c_Lambda_OdB_OApp,C,c_List_Oappend(A,c_List_Olist_OCons(B,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB).
% 0.12/0.39 Following clause subsumed by 242 during input processing: 0 [demod,261] {-} c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 0.12/0.39 Following clause subsumed by 258 during input processing: 0 [] {-} c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(A,B,C),C)=c_List_Olist_ONil(C).
% 0.12/0.39 Following clause subsumed by 295 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 0.12/0.39 Following clause subsumed by 242 during input processing: 0 [demod,303] {-} c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 0.12/0.39 Following clause subsumed by 242 during input processing: 0 [demod,319] {-} c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 0.12/0.39 Following clause subsumed by 242 during input processing: 0 [demod,319] {-} c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 0.12/0.39 Following clause subsumed by 242 during input processing: 0 [demod,319] {-} c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 0.12/0.39 Following clause subsumed by 242 during input processing: 0 [demod,322] {-} A=A.
% 0.12/0.39 Following clause subsumed by 242 during input processing: 0 [demod,325] {-} B=B.
% 0.12/0.39 Following clause subsumed by 242 during input processing: 0 [demod,325] {-} A=A.
% 0.12/0.39 Following clause subsumed by 242 during input processing: 0 [demod,325] {-} c_List_Olist_OCons(B,C,A)=c_List_Olist_OCons(B,C,A).
% 0.12/0.39 Following clause subsumed by 242 during input processing: 0 [demod,322] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.12/0.39 Following clause subsumed by 242 during input processing: 0 [demod,335] {-} c_List_Oap
% 0.12/0.39 -------- PROOF --------
% 0.12/0.39 % SZS status Unsatisfiable
% 0.12/0.39 % SZS output start Refutation
% 0.12/0.39 pend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.12/0.39 Following clause subsumed by 242 during input processing: 0 [demod,335] {-} c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 0.12/0.39 Following clause subsumed by 242 during input processing: 0 [demod,335] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.12/0.39 Following clause subsumed by 242 during input processing: 0 [demod,339,351] {-} v_T____=v_T____.
% 0.12/0.39 Following clause subsumed by 336 during input processing: 0 [] {-} c_Type_Otyping(v_e____,v_u____,v_T____).
% 0.12/0.39 Following clause subsumed by 242 during input processing: 0 [] {-} A=A.
% 0.12/0.39 Following clause subsumed by 231 during input processing: 0 [copy,231,flip.1] {-} c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),C,B).
% 0.12/0.39 Following clause subsumed by 242 during input processing: 0 [copy,242,flip.1] {-} A=A.
% 0.12/0.39 242 back subsumes 225.
% 0.12/0.39 Following clause subsumed by 247 during input processing: 0 [copy,247,flip.1] {-} c_List_Oappend(c_List_Oreplicate(A,B,C),c_List_Oreplicate(D,B,C),C)=c_List_Oappend(c_List_Oreplicate(D,B,C),c_List_Oreplicate(A,B,C),C).
% 0.12/0.39 Following clause subsumed by 257 during input processing: 0 [copy,256,flip.1] {-} c_List_Olist_ONil(A)=c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),B,A).
% 0.12/0.39 Following clause subsumed by 256 during input processing: 0 [copy,257,flip.1] {-} c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),A,B)=c_List_Olist_ONil(B).
% 0.12/0.39
% 0.12/0.39 ----> UNIT CONFLICT at 0.02 sec ----> 392 [binary,391.1,336.1] {-} $F.
% 0.12/0.39
% 0.12/0.39 Length of proof is 3. Level of proof is 3.
% 0.12/0.39
% 0.12/0.39 ---------------- PROOF ----------------
% 0.12/0.39 % SZS status Unsatisfiable
% 0.12/0.39 % SZS output start Refutation
% 0.12/0.39
% 0.12/0.39 214 [] {-} -c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))).
% 0.12/0.39 336 [] {-} c_Type_Otyping(v_e____,v_u____,v_T____).
% 0.12/0.39 337 [] {-} c_List_Ofoldr(A,c_List_Olist_OCons(B,C,D),E,D,F)=hAPP(hAPP(A,B),c_List_Ofoldr(A,C,E,D,F)).
% 0.12/0.39 339,338 [copy,337,flip.1] {-} hAPP(hAPP(A,B),c_List_Ofoldr(A,C,D,E,F))=c_List_Ofoldr(A,c_List_Olist_OCons(B,C,E),D,E,F).
% 0.12/0.39 349 [] {-} v_T____=hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)).
% 0.12/0.39 351,350 [copy,349,demod,339,flip.1] {-} c_List_Ofoldr(c_Type_Otype_OFun,c_List_Olist_OCons(v_T_H_H____,v_Ts____,tc_Type_Otype),v_T_H____,tc_Type_Otype,tc_Type_Otype)=v_T____.
% 0.12/0.39 391 [back_demod,214,demod,339,351] {-} -c_Type_Otyping(v_e____,v_u____,v_T____).
% 0.12/0.39 392 [binary,391.1,336.1] {-} $F.
% 0.12/0.39
% 0.12/0.39 % SZS output end Refutation
% 0.12/0.39 ------------ end of proof -------------
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39 Search stopped by max_proofs option.
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39 Search stopped by max_proofs option.
% 0.12/0.39
% 0.12/0.39 ============ end of search ============
% 0.12/0.39
% 0.12/0.39 That finishes the proof of the theorem.
% 0.12/0.39
% 0.12/0.39 Process 7676 finished Mon Jul 4 20:23:52 2022
%------------------------------------------------------------------------------