TSTP Solution File: LCL854-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : LCL854-1 : 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 14:33:28 EDT 2022
% Result : Unsatisfiable 0.12s 0.38s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL854-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n029.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 18:26:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.38 ----- Otter 3.2, August 2001 -----
% 0.12/0.38 The process was started by sandbox on n029.cluster.edu,
% 0.12/0.38 Sat Jul 2 18:26:55 2022
% 0.12/0.38 The command was "./sos". The process ID is 28430.
% 0.12/0.38
% 0.12/0.38 set(prolog_style_variables).
% 0.12/0.38 set(auto).
% 0.12/0.38 dependent: set(auto1).
% 0.12/0.38 dependent: set(process_input).
% 0.12/0.38 dependent: clear(print_kept).
% 0.12/0.38 dependent: clear(print_new_demod).
% 0.12/0.38 dependent: clear(print_back_demod).
% 0.12/0.38 dependent: clear(print_back_sub).
% 0.12/0.38 dependent: set(control_memory).
% 0.12/0.38 dependent: assign(max_mem, 12000).
% 0.12/0.38 dependent: assign(pick_given_ratio, 4).
% 0.12/0.38 dependent: assign(stats_level, 1).
% 0.12/0.38 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.38 dependent: assign(sos_limit, 5000).
% 0.12/0.38 dependent: assign(max_weight, 60).
% 0.12/0.38 clear(print_given).
% 0.12/0.38
% 0.12/0.38 list(usable).
% 0.12/0.38
% 0.12/0.38 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.12/0.38
% 0.12/0.38 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.38 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.38 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.38 clauses in usable.
% 0.12/0.38
% 0.12/0.38 dependent: set(knuth_bendix).
% 0.12/0.38 dependent: set(para_from).
% 0.12/0.38 dependent: set(para_into).
% 0.12/0.38 dependent: clear(para_from_right).
% 0.12/0.38 dependent: clear(para_into_right).
% 0.12/0.38 dependent: set(para_from_vars).
% 0.12/0.38 dependent: set(eq_units_both_ways).
% 0.12/0.38 dependent: set(dynamic_demod_all).
% 0.12/0.38 dependent: set(dynamic_demod).
% 0.12/0.38 dependent: set(order_eq).
% 0.12/0.38 dependent: set(back_demod).
% 0.12/0.38 dependent: set(lrpo).
% 0.12/0.38 dependent: set(hyper_res).
% 0.12/0.38 dependent: set(unit_deletion).
% 0.12/0.38 dependent: set(factor).
% 0.12/0.38
% 0.12/0.38 ------------> process usable:
% 0.12/0.38 Following clause subsumed by 3 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.
% 0.12/0.38 Following clause subsumed by 13 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Nat_Osemiring__1__class_Oof__nat(B,A),A).
% 0.12/0.38 Following clause subsumed by 14 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.
% 0.12/0.38 Following clause subsumed by 30 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,D,E),C),B)).
% 0.12/0.38 Following clause subsumed by 31 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Predicate_Oconversep(A,B,C),D),E))| -hBOOL(hAPP(hAPP(A,E),D)).
% 0.12/0.38 Following clause subsumed by 32 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)).
% 0.12/0.38 Following clause subsumed by 32 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)).
% 0.12/0.38 Following clause subsumed by 47 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)).
% 0.12/0.38 Following clause subsumed by 53 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).
% 0.12/0.38 Following clause subsumed by 59 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.12/0.38 Following clause subsumed by 25 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.12/0.38 Following clause subsumed by 73 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.12/0.38 Following clause subsumed by 73 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.12/0.38 Following clause subsumed by 95 during input processing: 0 [] {-} c_Wellfounded_Oaccp(A,B,C)| -hBOOL(hAPP(hAPP(A,B),D))| -c_Wellfounded_Oaccp(A,D,C).
% 0.12/0.38 Following clause subsumed by 101 during input processing: 0 [] {-} c_Suc(A)!=A.
% 0.12/0.38 Following clause subsumed by 110 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.12/0.38 Following clause subsumed by 116 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.12/0.38 Following clause subsumed by 110 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.12/0.38 Following clause subsumed by 110 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.12/0.38 Following clause subsumed by 81 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(tc_nat),A)=c_HOL_Oone__class_Oone(A).
% 0.12/0.38 Following clause subsumed by 148 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))).
% 0.12/0.38 Following clause subsumed by 203 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))).
% 0.12/0.38 Following clause subsumed by 167 during input processing: 0 [copy,136,flip.1] {-} c_Lambda_OdB_OVar(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.12/0.38 Following clause subsumed by 187 during input processing: 0 [copy,163,flip.1] {-} c_Lambda_OdB_OAbs(A)!=c_Lambda_OdB_OVar(B).
% 0.12/0.38 Following clause subsumed by 136 during input processing: 0 [copy,167,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OVar(C).
% 0.12/0.38 Following clause subsumed by 186 during input processing: 0 [copy,184,flip.1] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)!=c_Lambda_OdB_OAbs(C).
% 0.12/0.38 Following clause subsumed by 184 during input processing: 0 [copy,186,flip.1] {-} c_Lambda_OdB_OAbs(A)!=hAPP(hAPP(c_Lambda_OdB_OApp,B),C).
% 0.12/0.38 Following clause subsumed by 163 during input processing: 0 [copy,187,flip.1] {-} c_Lambda_OdB_OVar(A)!=c_Lambda_OdB_OAbs(B).
% 0.12/0.38 Following clause subsumed by 204 during input processing: 0 [copy,190,flip.1] {-} c_Type_Otype_OAtom(A)!=hAPP(hAPP(c_Type_Otype_OFun,B),C).
% 0.12/0.38 Following clause subsumed by 190 during input processing: 0 [copy,204,flip.1] {-} hAPP(hAPP(c_Type_Otype_OFun,A),B)!=c_Type_Otype_OAtom(C).
% 0.12/0.38 Following clause subsumed by 140 during input processing: 0 [copy,224,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).
% 0.12/0.38 Following clause subsumed by 165 during input processing: 0 [copy,226,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).
% 0.12/0.38
% 0.12/0.38 ------------> process sos:
% 0.12/0.38 Following clause subsumed by 235 during input processing: 0 [demod,233] {-} c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.12/0.38 Following clause subsumed by 235 during input processing: 0 [demod,231] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.12/0.38 Following clause subsumed by 235 during input processing: 0 [demod,231] {-} c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.12/0.38 Following clause subsumed by 236 during input processing: 0 [demod,245] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_Suc(B)).
% 0.12/0.38 Following clause subsumed by 235 during input processing: 0 [demod,231] {-} c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.12/0.38 Following clause subsumed by 235 during input processing: 0 [demod,233] {-} c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.12/0.38 Following clause subsumed by 235 during input processing: 0 [demod,248] {-} hAPP(hAPP(c_Lambda_OdB_OApp,A),B)=hAPP(hAPP(c_Lambda_OdB_OApp,A),B).
% 0.12/0.38 Following clause subsumed by 270 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(A,B),C),C)).
% 0.12/0.38 Following clause subsumed by 235 during input processing: 0 [demod,248] {-} c_Lambda
% 0.12/0.38 -------- PROOF --------
% 0.12/0.38 % SZS status Unsatisfiable
% 0.12/0.38 % SZS output start Refutation
% 0.12/0.38 _OdB_OVar(A)=c_Lambda_OdB_OVar(A).
% 0.12/0.38 Following clause subsumed by 235 during input processing: 0 [demod,248] {-} c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 0.12/0.38 Following clause subsumed by 235 during input processing: 0 [demod,248] {-} c_Lambda_OdB_OAbs(A)=c_Lambda_OdB_OAbs(A).
% 0.12/0.38
% 0.12/0.38 ----> UNIT CONFLICT at 0.02 sec ----> 302 [binary,301.1,206.1] {-} $F.
% 0.12/0.38
% 0.12/0.38 Length of proof is 0. Level of proof is 0.
% 0.12/0.38
% 0.12/0.38 ---------------- PROOF ----------------
% 0.12/0.38 % SZS status Unsatisfiable
% 0.12/0.38 % SZS output start Refutation
% 0.12/0.38
% 0.12/0.38 206 [] {-} -c_Type_Otyping(v_ea____,v_s____,hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____)).
% 0.12/0.38 301 [] {-} c_Type_Otyping(v_ea____,v_s____,hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____)).
% 0.12/0.38 302 [binary,301.1,206.1] {-} $F.
% 0.12/0.38
% 0.12/0.38 % SZS output end Refutation
% 0.12/0.38 ------------ end of proof -------------
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 Search stopped by max_proofs option.
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 Search stopped by max_proofs option.
% 0.12/0.38
% 0.12/0.38 ============ end of search ============
% 0.12/0.38
% 0.12/0.38 That finishes the proof of the theorem.
% 0.12/0.38
% 0.12/0.38 Process 28430 finished Sat Jul 2 18:26:55 2022
%------------------------------------------------------------------------------