TSTP Solution File: LCL771-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL771-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n011.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 14:32:48 EDT 2022
% Result : Unsatisfiable 0.19s 0.39s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL771-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : sos-script %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 15:05:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.39 ----- Otter 3.2, August 2001 -----
% 0.19/0.39 The process was started by sandbox on n011.cluster.edu,
% 0.19/0.39 Sat Jul 2 15:05:50 2022
% 0.19/0.39 The command was "./sos". The process ID is 16174.
% 0.19/0.39
% 0.19/0.39 set(prolog_style_variables).
% 0.19/0.39 set(auto).
% 0.19/0.39 dependent: set(auto1).
% 0.19/0.39 dependent: set(process_input).
% 0.19/0.39 dependent: clear(print_kept).
% 0.19/0.39 dependent: clear(print_new_demod).
% 0.19/0.39 dependent: clear(print_back_demod).
% 0.19/0.39 dependent: clear(print_back_sub).
% 0.19/0.39 dependent: set(control_memory).
% 0.19/0.39 dependent: assign(max_mem, 12000).
% 0.19/0.39 dependent: assign(pick_given_ratio, 4).
% 0.19/0.39 dependent: assign(stats_level, 1).
% 0.19/0.39 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.39 dependent: assign(sos_limit, 5000).
% 0.19/0.39 dependent: assign(max_weight, 60).
% 0.19/0.39 clear(print_given).
% 0.19/0.39
% 0.19/0.39 list(usable).
% 0.19/0.39
% 0.19/0.39 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 0.19/0.39
% 0.19/0.39 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.39 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.39 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.39 clauses in usable.
% 0.19/0.39
% 0.19/0.39 dependent: set(knuth_bendix).
% 0.19/0.39 dependent: set(para_from).
% 0.19/0.39 dependent: set(para_into).
% 0.19/0.39 dependent: clear(para_from_right).
% 0.19/0.39 dependent: clear(para_into_right).
% 0.19/0.39 dependent: set(para_from_vars).
% 0.19/0.39 dependent: set(eq_units_both_ways).
% 0.19/0.39 dependent: set(dynamic_demod_all).
% 0.19/0.39 dependent: set(dynamic_demod).
% 0.19/0.39 dependent: set(order_eq).
% 0.19/0.39 dependent: set(back_demod).
% 0.19/0.39 dependent: set(lrpo).
% 0.19/0.39 dependent: set(hyper_res).
% 0.19/0.39 dependent: set(unit_deletion).
% 0.19/0.39 dependent: set(factor).
% 0.19/0.39
% 0.19/0.39 ------------> process usable:
% 0.19/0.39 Following clause subsumed by 3 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.39 Following clause subsumed by 13 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.19/0.39 Following clause subsumed by 19 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).
% 0.19/0.39 Following clause subsumed by 25 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.19/0.39 Following clause subsumed by 29 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).
% 0.19/0.39 Following clause subsumed by 32 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).
% 0.19/0.39 Following clause subsumed by 33 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.19/0.39 Following clause subsumed by 39 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.
% 0.19/0.39 Following clause subsumed by 39 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).
% 0.19/0.39 Following clause subsumed by 39 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).
% 0.19/0.39 Following clause subsumed by 3 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.39 Following clause subsumed by 3 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.39 Following clause subsumed by 33 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).
% 0.19/0.39 Following clause subsumed by 46 during input processing: 0 [flip.1] {-} c_Suc(A)!=A.
% 0.19/0.39 Following clause subsumed by 55 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.19/0.39 Following clause subsumed by 85 during input processing: 0 [] {-} c_List_Oappend(A,B,C)!=B|A=c_List_Olist_ONil(C).
% 0.19/0.39 Following clause subsumed by 87 during input processing: 0 [] {-} c_List_Oappend(A,B,C)!=A|B=c_List_Olist_ONil(C).
% 0.19/0.39 Following clause subsumed by 127 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=B.
% 0.19/0.39 Following clause subsumed by 131 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).
% 0.19/0.39 Following clause subsumed by 164 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))).
% 0.19/0.39 Following clause subsumed by 175 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))).
% 0.19/0.39 Following clause subsumed by 191 during input processing: 0 [] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.19/0.39 Following clause subsumed by 204 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))).
% 0.19/0.39 Following clause subsumed by 212 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))).
% 0.19/0.39 Following clause subsumed by 191 during input processing: 0 [copy,91,flip.1] {-} c_List_Olist_OCons(A,B,C)!=c_List_Olist_ONil(C).
% 0.19/0.39 Following clause subsumed by 91 during input processing: 0 [copy,191,flip.1] {-} c_List_Olist_ONil(A)!=c_List_Olist_OCons(B,C,A).
% 0.19/0.39 Following clause subsumed by 203 during input processing: 0 [copy,202,flip.1] {-} c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.19/0.39 Following clause subsumed by 202 during input processing: 0 [copy,203,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 0.19/0.39 Following clause subsumed by 214 during input processing: 0 [copy,211,flip.1] {-} c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 0.19/0.39 Following clause subsumed by 211 during input processing: 0 [copy,214,flip.1] {-} c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 0.19/0.39 Following clause subsumed by 246 during input processing: 0 [copy,245,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 0.19/0.39 Following clause subsumed by 245 during input processing: 0 [copy,246,flip.1] {-} c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.19/0.39 Following clause subsumed by 209 during input processing: 0 [copy,261,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).
% 0.19/0.39 Following clause subsumed by 210 during input processing: 0 [copy,262,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).
% 0.19/0.39
% 0.19/0.39 ------------> process sos:
% 0.19/0.39 Following clause subsumed by 269 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 0.19/0.39 Following clause subsumed by 274 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(A),tc_nat).
% 0.19/0.39 Following clause subsumed by 283 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 0.19/0.39 Following clause subsumed by 302 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).
% 0.19/0.39 Following clause subsumed by 302 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.19/0.39 Following clause subsumed by 283 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.19/0.39 Following clause subsumed by 283 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,c_Suc(A),tc_nat).
% 0.19/0.39 Following clause subsumed by 314 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).
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,359] {-
% 0.19/0.39 -------- PROOF --------
% 0.19/0.39 % SZS status Unsatisfiable
% 0.19/0.39 % SZS output start Refutation
% 0.19/0.39 } A=A.
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,364] {-} A=A.
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,359] {-} c_List_Olist_OCons(A,B,C)=c_List_Olist_OCons(A,B,C).
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,390] {-} c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D)=c_List_Oappend(c_List_Olist_OCons(A,B,D),C,D).
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,396] {-} 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).
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,396] {-} 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).
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,390] {-} c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,390] {-} c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C)=c_List_Oappend(c_List_Olist_OCons(A,B,C),D,C).
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,383] {-} c_List_Olist_OCons(A,c_List_Olist_ONil(B),B)=c_List_Olist_OCons(A,c_List_Olist_ONil(B),B).
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,409] {-} A=A.
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,409] {-} A=A.
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,359] {-} c_List_Olist_OCons(B,C,A)=c_List_Olist_OCons(B,C,A).
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,439] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,439] {-} c_List_Oappend(A,c_List_Oappend(B,D,C),C)=c_List_Oappend(A,c_List_Oappend(B,D,C),C).
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,439] {-} c_List_Oappend(A,c_List_Oappend(B,C,D),D)=c_List_Oappend(A,c_List_Oappend(B,C,D),D).
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,452] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,452] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,364] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,349] {-} c_List_Olist_ONil(A)=c_List_Olist_ONil(A).
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,338] {-} B=B.
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,354] {-} c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,354] {-} c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,354] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)=hAPP(hAPP(c_Lambda_OdB_OApp,A),B).
% 0.19/0.39 Following clause subsumed by 361 during input processing: 0 [demod,354] {-} c_Lambda_OdB_OVar(A)=c_Lambda_OdB_OVar(A).
% 0.19/0.39
% 0.19/0.39 ----> UNIT CONFLICT at 0.02 sec ----> 486 [binary,485.1,247.1] {-} $F.
% 0.19/0.39
% 0.19/0.39 Length of proof is 0. Level of proof is 0.
% 0.19/0.39
% 0.19/0.39 ---------------- PROOF ----------------
% 0.19/0.39 % SZS status Unsatisfiable
% 0.19/0.39 % SZS output start Refutation
% 0.19/0.39
% 0.19/0.39 247 [] {-} -c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB).
% 0.19/0.39 485 [] {-} c_List_Olistsp(A,c_List_Olist_ONil(B),B).
% 0.19/0.39 486 [binary,485.1,247.1] {-} $F.
% 0.19/0.39
% 0.19/0.39 % SZS output end Refutation
% 0.19/0.39 ------------ end of proof -------------
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39 Search stopped by max_proofs option.
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39 Search stopped by max_proofs option.
% 0.19/0.40
% 0.19/0.40 ============ end of search ============
% 0.19/0.40
% 0.19/0.40 That finishes the proof of the theorem.
% 0.19/0.40
% 0.19/0.40 Process 16174 finished Sat Jul 2 15:05:50 2022
%------------------------------------------------------------------------------