%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL807-1 : 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 14:33:06 EDT 2022
% Result : Unsatisfiable 0.20s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL807-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : sos-script %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 4 10:03:41 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.41 ----- Otter 3.2, August 2001 -----
% 0.20/0.41 The process was started by sandbox2 on n029.cluster.edu,
% 0.20/0.41 Mon Jul 4 10:03:41 2022
% 0.20/0.41 The command was "./sos". The process ID is 31472.
% 0.20/0.41
% 0.20/0.41 set(prolog_style_variables).
% 0.20/0.41 set(auto).
% 0.20/0.41 dependent: set(auto1).
% 0.20/0.41 dependent: set(process_input).
% 0.20/0.41 dependent: clear(print_kept).
% 0.20/0.41 dependent: clear(print_new_demod).
% 0.20/0.41 dependent: clear(print_back_demod).
% 0.20/0.41 dependent: clear(print_back_sub).
% 0.20/0.41 dependent: set(control_memory).
% 0.20/0.41 dependent: assign(max_mem, 12000).
% 0.20/0.41 dependent: assign(pick_given_ratio, 4).
% 0.20/0.41 dependent: assign(stats_level, 1).
% 0.20/0.41 dependent: assign(pick_semantic_ratio, 3).
% 0.20/0.41 dependent: assign(sos_limit, 5000).
% 0.20/0.41 dependent: assign(max_weight, 60).
% 0.20/0.41 clear(print_given).
% 0.20/0.41
% 0.20/0.41 list(usable).
% 0.20/0.41
% 0.20/0.41 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.20/0.41
% 0.20/0.41 This ia a non-Horn set with equality. The strategy will be
% 0.20/0.41 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.20/0.41 unit deletion, with positive clauses in sos and nonpositive
% 0.20/0.41 clauses in usable.
% 0.20/0.41
% 0.20/0.41 dependent: set(knuth_bendix).
% 0.20/0.41 dependent: set(para_from).
% 0.20/0.41 dependent: set(para_into).
% 0.20/0.41 dependent: clear(para_from_right).
% 0.20/0.41 dependent: clear(para_into_right).
% 0.20/0.41 dependent: set(para_from_vars).
% 0.20/0.41 dependent: set(eq_units_both_ways).
% 0.20/0.41 dependent: set(dynamic_demod_all).
% 0.20/0.41 dependent: set(dynamic_demod).
% 0.20/0.41 dependent: set(order_eq).
% 0.20/0.41 dependent: set(back_demod).
% 0.20/0.41 dependent: set(lrpo).
% 0.20/0.41 dependent: set(hyper_res).
% 0.20/0.41 dependent: set(unit_deletion).
% 0.20/0.41 dependent: set(factor).
% 0.20/0.41
% 0.20/0.41 ------------> process usable:
% 0.20/0.41 Following clause subsumed by 11 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.20/0.41 Following clause subsumed by 13 during input processing: 0 [flip.1] {-} c_List_Olist_OCons(B,A,C)!=A.
% 0.20/0.41 Following clause subsumed by 51 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)).
% 0.20/0.41 Following clause subsumed by 73 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).
% 0.20/0.41 Following clause subsumed by 78 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)).
% 0.20/0.41 Following clause subsumed by 81 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)).
% 0.20/0.41 Following clause subsumed by 81 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)).
% 0.20/0.41 Following clause subsumed by 88 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))| -hBOOL(hAPP(hAPP(A,E),D)).
% 0.20/0.41 Following clause subsumed by 89 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,D,E),C),B)).
% 0.20/0.41 Following clause subsumed by 98 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.
% 0.20/0.41 Following clause subsumed by 143 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.20/0.41 Following clause subsumed by 156 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.20/0.41 Following clause subsumed by 161 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.
% 0.20/0.41 Following clause subsumed by 161 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).
% 0.20/0.41 Following clause subsumed by 161 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(
% 0.20/0.41 -------- PROOF --------
% 0.20/0.41 % SZS status Unsatisfiable
% 0.20/0.41 % SZS output start Refutation
% 0.20/0.41 B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.20/0.41 Following clause subsumed by 156 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).
% 0.20/0.41 Following clause subsumed by 182 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.20/0.41 Following clause subsumed by 184 during input processing: 0 [] {-} hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),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_b____),D)).
% 0.20/0.41 Following clause subsumed by 184 during input processing: 0 [] {-} hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_b____),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_b____),D)).
% 0.20/0.41 Following clause subsumed by 11 during input processing: 0 [copy,5,flip.1] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.20/0.41 Following clause subsumed by 5 during input processing: 0 [copy,11,flip.1] {-} c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 0.20/0.41 Following clause subsumed by 153 during input processing: 0 [copy,132,flip.1] {-} c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.20/0.41 Following clause subsumed by 179 during input processing: 0 [copy,148,flip.1] {-} c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 0.20/0.41 Following clause subsumed by 132 during input processing: 0 [copy,153,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 0.20/0.41 Following clause subsumed by 178 during input processing: 0 [copy,176,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 0.20/0.41 Following clause subsumed by 176 during input processing: 0 [copy,178,flip.1] {-} c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.20/0.41 Following clause subsumed by 148 during input processing: 0 [copy,179,flip.1] {-} c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 0.20/0.41 197 back subsumes 192.
% 0.20/0.41 Following clause subsumed by 134 during input processing: 0 [copy,207,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).
% 0.20/0.41 Following clause subsumed by 151 during input processing: 0 [copy,208,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).
% 0.20/0.41
% 0.20/0.41 ------------> process sos:
% 0.20/0.41 Following clause subsumed by 230 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 0.20/0.41 Following clause subsumed by 237 during input processing: 0 [demod,229] {-} c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 0.20/0.41 Following clause subsumed by 257 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).
% 0.20/0.41 Following clause subsumed by 257 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.20/0.41 Following clause subsumed by 255 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_e____),v_u____),v_T____)).
% 0.20/0.41
% 0.20/0.41 ----> UNIT CONFLICT at 0.02 sec ----> 268 [binary,267.1,197.1] {-} $F.
% 0.20/0.41
% 0.20/0.41 Length of proof is 1. Level of proof is 1.
% 0.20/0.41
% 0.20/0.41 ---------------- PROOF ----------------
% 0.20/0.41 % SZS status Unsatisfiable
% 0.20/0.41 % SZS output start Refutation
% 0.20/0.41
% 0.20/0.41 195 [] {-} -v_thesis____.
% 0.20/0.41 196 [] {-} 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_b____),A)).
% 0.20/0.41 197 [copy,196,unit_del,195] {-} -hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_b____),A)).
% 0.20/0.41 267 [] {-} hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____)),v_b____),v_sko__local__XCons__Xhyps__1__1(v_T____,v_b____,v_e____,v_i____))).
% 0.20/0.41 268 [binary,267.1,197.1] {-} $F.
% 0.20/0.41
% 0.20/0.41 % SZS output end Refutation
% 0.20/0.41 ------------ end of proof -------------
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 Search stopped by max_proofs option.
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 Search stopped by max_proofs option.
% 0.20/0.41
% 0.20/0.41 ============ end of search ============
% 0.20/0.41
% 0.20/0.41 That finishes the proof of the theorem.
% 0.20/0.41
% 0.20/0.41 Process 31472 finished Mon Jul 4 10:03:41 2022
%------------------------------------------------------------------------------