%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL827-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n029.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 14:33:16 EDT 2022
% Result : Unsatisfiable 0.17s 0.40s
% Output : Refutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL827-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : sos-script %s
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jul 3 15:12:26 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.39 ----- Otter 3.2, August 2001 -----
% 0.17/0.39 The process was started by sandbox2 on n029.cluster.edu,
% 0.17/0.39 Sun Jul 3 15:12:26 2022
% 0.17/0.39 The command was "./sos". The process ID is 21065.
% 0.17/0.39
% 0.17/0.39 set(prolog_style_variables).
% 0.17/0.39 set(auto).
% 0.17/0.39 dependent: set(auto1).
% 0.17/0.39 dependent: set(process_input).
% 0.17/0.39 dependent: clear(print_kept).
% 0.17/0.39 dependent: clear(print_new_demod).
% 0.17/0.39 dependent: clear(print_back_demod).
% 0.17/0.39 dependent: clear(print_back_sub).
% 0.17/0.39 dependent: set(control_memory).
% 0.17/0.39 dependent: assign(max_mem, 12000).
% 0.17/0.39 dependent: assign(pick_given_ratio, 4).
% 0.17/0.39 dependent: assign(stats_level, 1).
% 0.17/0.39 dependent: assign(pick_semantic_ratio, 3).
% 0.17/0.39 dependent: assign(sos_limit, 5000).
% 0.17/0.39 dependent: assign(max_weight, 60).
% 0.17/0.39 clear(print_given).
% 0.17/0.39
% 0.17/0.39 list(usable).
% 0.17/0.39
% 0.17/0.39 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.17/0.39
% 0.17/0.39 This ia a non-Horn set with equality. The strategy will be
% 0.17/0.39 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.17/0.39 unit deletion, with positive clauses in sos and nonpositive
% 0.17/0.39 clauses in usable.
% 0.17/0.39
% 0.17/0.39 dependent: set(knuth_bendix).
% 0.17/0.39 dependent: set(para_from).
% 0.17/0.39 dependent: set(para_into).
% 0.17/0.39 dependent: clear(para_from_right).
% 0.17/0.39 dependent: clear(para_into_right).
% 0.17/0.39 dependent: set(para_from_vars).
% 0.17/0.39 dependent: set(eq_units_both_ways).
% 0.17/0.39 dependent: set(dynamic_demod_all).
% 0.17/0.39 dependent: set(dynamic_demod).
% 0.17/0.39 dependent: set(order_eq).
% 0.17/0.39 dependent: set(back_demod).
% 0.17/0.39 dependent: set(lrpo).
% 0.17/0.39 dependent: set(hyper_res).
% 0.17/0.39 dependent: set(unit_deletion).
% 0.17/0.39 dependent: set(factor).
% 0.17/0.39
% 0.17/0.39 ------------> process usable:
% 0.17/0.39 Following clause subsumed by 14 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.17/0.39 Following clause subsumed by 19 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),B,tc_nat)))|hBOOL(hAPP(A,C)).
% 0.17/0.39 Following clause subsumed by 36 during input processing: 0 [] {-} A=B| -c_HOL_Oord__class_Oless(A,c_Suc(B),tc_nat)|c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.17/0.39 Following clause subsumed by 40 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.17/0.39 Following clause subsumed by 47 during input processing: 0 [flip.1] {-} c_Suc(A)!=A.
% 0.17/0.39 Following clause subsumed by 64 during input processing: 0 [] {-} c_Wellfounded_Oaccp(A,B,C)| -hBOOL(hAPP(hAPP(A,B),D))| -c_Wellfounded_Oaccp(A,D,C).
% 0.17/0.39 Following clause subsumed by 103 during input processing: 0 [] {-} hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(A)),B),C)=c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat))| -c_HOL_Oord__class_Oless(C,A,tc_nat).
% 0.17/0.39 Following clause subsumed by 104 during input processing: 0 [flip.1] {-} c_Suc(c_HOL_Ominus__class_Ominus(A,c_HOL_Oone__class_Oone(tc_nat),tc_nat))=A| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.17/0.39 Following clause subsumed by 106 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.17/0.39 Following clause subsumed by 111 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.17/0.39 Following clause subsumed by 117 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).
% 0.17/0.39 Following clause subsumed by 120 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 0.17/0.39 Following clause subsumed by 121 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.17/0.39 Following clause subsumed by 40 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.17/0.39 Following clause subsumed by 40 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.17/0.39 Following clause subsumed by 126 during input processing: 0 [] {-} c_Wellfounded_Oaccp(A,B,C)| -hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,C),B),D))| -c_Wellfounded_Oaccp(A,D,C).
% 0.17/0.39 Following clause subsumed by 129 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)).
% 0.17/0.39 Following clause subsumed by 129 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)).
% 0.17/0.39 Following clause subsumed by 136 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))| -hBOOL(hAPP(hAPP(A,E),D)).
% 0.17/0.39 Following clause subsumed by 137 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,D,E),C),B)).
% 0.17/0.39 Following clause subsumed by 35 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.17/0.39 Following clause subsumed by 148 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)|B=C.
% 0.17/0.39 Following clause subsumed by 161 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.
% 0.17/0.39 Following clause subsumed by 169 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_Suc(A),c_Suc(B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.17/0.39 Following clause subsumed by 206 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.17/0.39 Following clause subsumed by 218 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.17/0.39 Following clause subsumed by 223 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.
% 0.17/0.39 Following clause subsumed by 223 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).
% 0.17/0.39 Following clause subsumed by 223 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).
% 0.17/0.39 Following clause subsumed by 218 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).
% 0.17/0.39 Following clause subsumed by 244 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.17/0.39 Following clause subsumed by 246 during input processing: 0 [] {-} hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),A),B)))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,C),A),v_T____))| -hBOOL(hAPP(c_InductTermi_OIT,A))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),C),B),v_T____)),v_a____),D)).
% 0.17/0.39 Following clause subsumed by 246 during input processing: 0 [] {-} hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),A),B)))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,C),A),v_T____))| -hBOOL(hAPP(c_InductTermi_OIT,A))| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),C),B),v_T____)),v_a____),D)).
% 0.17/0.39 120 back subsumes 91.
% 0.17/0.39 121 back subsumes 90.
% 0.17/0.39 Following clause subsumed by 215 during input processing: 0 [copy,195,flip.1] {-} c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.17/0.39 Following clause subsumed by 241 during input processing: 0 [copy,210,flip.1] {-} c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 0.17/0.39 Following clause subsumed by 195 during input processing: 0 [copy,215,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 0.17/0.39 Following clause subsumed by 240 during input processing: 0 [copy,238,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 0.17/0.39 Following clause subsumed by 238 during input processing: 0 [copy,240,flip.1] {-} c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.17/0.40 Followi
% 0.17/0.40 -------- PROOF --------
% 0.17/0.40 % SZS status Unsatisfiable
% 0.17/0.40 % SZS output start Refutation
% 0.17/0.40 ng clause subsumed by 210 during input processing: 0 [copy,241,flip.1] {-} c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 0.17/0.40 260 back subsumes 256.
% 0.17/0.40 Following clause subsumed by 197 during input processing: 0 [copy,278,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).
% 0.17/0.40 Following clause subsumed by 213 during input processing: 0 [copy,279,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).
% 0.17/0.40
% 0.17/0.40 ------------> process sos:
% 0.17/0.40 Following clause subsumed by 324 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.17/0.40 Following clause subsumed by 334 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(A),tc_nat).
% 0.17/0.40 Following clause subsumed by 360 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),tc_nat).
% 0.17/0.40 Following clause subsumed by 367 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 0.17/0.40 Following clause subsumed by 359 during input processing: 0 [demod,372] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),A)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Oone__class_Oone(tc_nat)).
% 0.17/0.40 Following clause subsumed by 370 during input processing: 0 [demod,372,323,372,323,329] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.17/0.40 Following clause subsumed by 375 during input processing: 0 [demod,372,377,372] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),B)).
% 0.17/0.40 Following clause subsumed by 392 during input processing: 0 [demod,318] {-} c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 0.17/0.40 Following clause subsumed by 392 during input processing: 0 [demod,318] {-} c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 0.17/0.40 Following clause subsumed by 392 during input processing: 0 [demod,318] {-} c_Lambda_OdB_OVar(A)=c_Lambda_OdB_OVar(A).
% 0.17/0.40 Following clause subsumed by 412 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).
% 0.17/0.40 Following clause subsumed by 412 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.17/0.40 Following clause subsumed by 392 during input processing: 0 [demod,404] {-} B=B.
% 0.17/0.40
% 0.17/0.40 ----> UNIT CONFLICT at 0.03 sec ----> 419 [binary,418.1,260.1] {-} $F.
% 0.17/0.40
% 0.17/0.40 Length of proof is 1. Level of proof is 1.
% 0.17/0.40
% 0.17/0.40 ---------------- PROOF ----------------
% 0.17/0.40 % SZS status Unsatisfiable
% 0.17/0.40 % SZS output start Refutation
% 0.17/0.40
% 0.17/0.40 258 [] {-} -v_thesis____.
% 0.17/0.40 259 [] {-} v_thesis____| -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_a____),A)).
% 0.17/0.40 260 [copy,259,unit_del,258] {-} -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_a____),A)).
% 0.17/0.40 418 [] {-} hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_a____),v_sko__local__XCons__1__1(v_T____,v_a____,v_e____,v_i____))).
% 0.17/0.40 419 [binary,418.1,260.1] {-} $F.
% 0.17/0.40
% 0.17/0.40 % SZS output end Refutation
% 0.17/0.40 ------------ end of proof -------------
% 0.17/0.40
% 0.17/0.40
% 0.17/0.40 Search stopped by max_proofs option.
% 0.17/0.40
% 0.17/0.40
% 0.17/0.40 Search stopped by max_proofs option.
% 0.17/0.40
% 0.17/0.40 ============ end of search ============
% 0.17/0.40
% 0.17/0.40 That finishes the proof of the theorem.
% 0.17/0.40
% 0.17/0.40 Process 21065 finished Sun Jul 3 15:12:26 2022
%------------------------------------------------------------------------------