TSTP Solution File: LCL822-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LCL822-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n024.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 13:50:32 EDT 2022
% Result : Unsatisfiable 0.82s 1.13s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL822-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n024.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 : Sun Jul 3 07:41:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.45/1.07 ============================== Prover9 ===============================
% 0.45/1.07 Prover9 (32) version 2009-11A, November 2009.
% 0.45/1.07 Process 14634 was started by sandbox on n024.cluster.edu,
% 0.45/1.07 Sun Jul 3 07:41:30 2022
% 0.45/1.07 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_14481_n024.cluster.edu".
% 0.45/1.07 ============================== end of head ===========================
% 0.45/1.07
% 0.45/1.07 ============================== INPUT =================================
% 0.45/1.07
% 0.45/1.07 % Reading from file /tmp/Prover9_14481_n024.cluster.edu
% 0.45/1.07
% 0.45/1.07 set(prolog_style_variables).
% 0.45/1.07 set(auto2).
% 0.45/1.07 % set(auto2) -> set(auto).
% 0.45/1.07 % set(auto) -> set(auto_inference).
% 0.45/1.07 % set(auto) -> set(auto_setup).
% 0.45/1.07 % set(auto_setup) -> set(predicate_elim).
% 0.45/1.07 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/1.07 % set(auto) -> set(auto_limits).
% 0.45/1.07 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/1.07 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/1.07 % set(auto) -> set(auto_denials).
% 0.45/1.07 % set(auto) -> set(auto_process).
% 0.45/1.07 % set(auto2) -> assign(new_constants, 1).
% 0.45/1.07 % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/1.07 % set(auto2) -> assign(max_weight, "200.000").
% 0.45/1.07 % set(auto2) -> assign(max_hours, 1).
% 0.45/1.07 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/1.07 % set(auto2) -> assign(max_seconds, 0).
% 0.45/1.07 % set(auto2) -> assign(max_minutes, 5).
% 0.45/1.07 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/1.07 % set(auto2) -> set(sort_initial_sos).
% 0.45/1.07 % set(auto2) -> assign(sos_limit, -1).
% 0.45/1.07 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/1.07 % set(auto2) -> assign(max_megs, 400).
% 0.45/1.07 % set(auto2) -> assign(stats, some).
% 0.45/1.07 % set(auto2) -> clear(echo_input).
% 0.45/1.07 % set(auto2) -> set(quiet).
% 0.45/1.07 % set(auto2) -> clear(print_initial_clauses).
% 0.45/1.07 % set(auto2) -> clear(print_given).
% 0.45/1.07 assign(lrs_ticks,-1).
% 0.45/1.07 assign(sos_limit,10000).
% 0.45/1.07 assign(order,kbo).
% 0.45/1.07 set(lex_order_vars).
% 0.45/1.07 clear(print_given).
% 0.45/1.07
% 0.45/1.07 % formulas(sos). % not echoed (231 formulas)
% 0.45/1.07
% 0.45/1.07 ============================== end of input ==========================
% 0.45/1.07
% 0.45/1.07 % From the command line: assign(max_seconds, 300).
% 0.45/1.07
% 0.45/1.07 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/1.07
% 0.45/1.07 % Formulas that are not ordinary clauses:
% 0.45/1.07
% 0.45/1.07 ============================== end of process non-clausal formulas ===
% 0.45/1.07
% 0.45/1.07 ============================== PROCESS INITIAL CLAUSES ===============
% 0.45/1.07
% 0.45/1.07 ============================== PREDICATE ELIMINATION =================
% 0.45/1.07 1 class_Nat_Osemiring__char__0(tc_nat) # label(clsarity_nat__Nat_Osemiring__char__0) # label(axiom). [assumption].
% 0.45/1.07 2 -class_Nat_Osemiring__char__0(A) | c_Nat_Osemiring__1__class_Oof__nat(B,A) != c_Nat_Osemiring__1__class_Oof__nat(C,A) | B = C # label(cls_of__nat__eq__iff_0) # label(axiom). [assumption].
% 0.45/1.07 Derived: c_Nat_Osemiring__1__class_Oof__nat(A,tc_nat) != c_Nat_Osemiring__1__class_Oof__nat(B,tc_nat) | A = B. [resolve(1,a,2,a)].
% 0.45/1.07 3 class_Ring__and__Field_Oordered__semidom(tc_nat) # label(clsarity_nat__Ring__and__Field_Oordered__semidom) # label(axiom). [assumption].
% 0.45/1.07 4 -class_Ring__and__Field_Oordered__semidom(A) | -c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(B,A),c_HOL_Ozero__class_Ozero(A),A) # label(cls_of__nat__less__0__iff_0) # label(axiom). [assumption].
% 0.45/1.07 5 -class_Ring__and__Field_Oordered__semidom(A) | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(B,A),c_Nat_Osemiring__1__class_Oof__nat(C,A),A) | -c_HOL_Oord__class_Oless(B,C,tc_nat) # label(cls_of__nat__less__iff_1) # label(axiom). [assumption].
% 0.45/1.07 6 -class_Ring__and__Field_Oordered__semidom(A) | c_HOL_Oord__class_Oless(B,C,tc_nat) | -c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(B,A),c_Nat_Osemiring__1__class_Oof__nat(C,A),A) # label(cls_of__nat__less__iff_0) # label(axiom). [assumption].
% 0.45/1.07 7 -class_Ring__and__Field_Oordered__semidom(A) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat) | -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Nat_Osemiring__1__class_Oof__nat(B,A),A) # label(cls_of__nat__0__less__iff_0) # label(axiom). [assumption].
% 0.45/1.07 8 -class_Ring__and__Field_Oordered__semidom(A) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Nat_Osemiring__1__class_Oof__nat(B,A),A) | -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat) # label(cls_of__nat__0__less__iff_1) # label(axiom). [assumption].
% 0.82/1.08 Derived: -c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(A,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat). [resolve(3,a,4,a)].
% 0.82/1.08 Derived: c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(A,tc_nat),c_Nat_Osemiring__1__class_Oof__nat(B,tc_nat),tc_nat) | -c_HOL_Oord__class_Oless(A,B,tc_nat). [resolve(3,a,5,a)].
% 0.82/1.08 Derived: c_HOL_Oord__class_Oless(A,B,tc_nat) | -c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(A,tc_nat),c_Nat_Osemiring__1__class_Oof__nat(B,tc_nat),tc_nat). [resolve(3,a,6,a)].
% 0.82/1.08 Derived: c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat) | -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osemiring__1__class_Oof__nat(A,tc_nat),tc_nat). [resolve(3,a,7,a)].
% 0.82/1.08 Derived: c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osemiring__1__class_Oof__nat(A,tc_nat),tc_nat) | -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat). [resolve(3,a,8,a)].
% 0.82/1.08 9 class_Ring__and__Field_Osemiring__1(tc_nat) # label(clsarity_nat__Ring__and__Field_Osemiring__1) # label(axiom). [assumption].
% 0.82/1.08 10 -class_Ring__and__Field_Osemiring__1(A) | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),A) = c_HOL_Ozero__class_Ozero(A) # label(cls_of__nat__0_0) # label(axiom). [assumption].
% 0.82/1.08 Derived: c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(9,a,10,a)].
% 0.82/1.08 11 class_Lattices_Olower__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 0.82/1.08 12 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,A) = c_Lattices_Olower__semilattice__class_Oinf(C,B,A) # label(cls_inf__commute_0) # label(axiom). [assumption].
% 0.82/1.08 13 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) = c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A) # label(cls_inf__left__commute_0) # label(axiom). [assumption].
% 0.82/1.08 14 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A) = c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) # label(cls_inf__assoc_0) # label(axiom). [assumption].
% 0.82/1.08 15 -class_Lattices_Olower__semilattice(A) | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A) | -c_HOL_Oord__class_Oless(C,D,A) # label(cls_less__infI2_0) # label(axiom). [assumption].
% 0.82/1.08 16 -class_Lattices_Olower__semilattice(A) | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A) | -c_HOL_Oord__class_Oless(B,D,A) # label(cls_less__infI1_0) # label(axiom). [assumption].
% 0.82/1.08 17 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A) = c_Lattices_Olower__semilattice__class_Oinf(B,C,A) # label(cls_inf__left__idem_0) # label(axiom). [assumption].
% 0.82/1.08 18 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,B,A) = B # label(cls_inf__idem_0) # label(axiom). [assumption].
% 0.82/1.08 Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)) = c_Lattices_Olower__semilattice__class_Oinf(C,B,tc_fun(D,A)). [resolve(11,a,12,a)].
% 0.82/1.08 Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(E,A)),tc_fun(E,A)) = c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(E,A)),tc_fun(E,A)). [resolve(11,a,13,a)].
% 0.82/1.08 Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),E,tc_fun(D,A)) = c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,E,tc_fun(D,A)),tc_fun(D,A)). [resolve(11,a,14,a)].
% 0.82/1.08 Derived: -class_Lattices_Olattice(A) | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),E,tc_fun(D,A)) | -c_HOL_Oord__class_Oless(C,E,tc_fun(D,A)). [resolve(11,a,15,a)].
% 0.82/1.08 Derived: -class_Lattices_Olattice(A) | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),E,tc_fun(D,A)) | -c_HOL_Oord__class_Oless(B,E,tc_fun(D,A)). [resolve(11,a,16,a)].
% 0.82/1.08 Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),tc_fun(D,A)) = c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)). [resolve(11,a,17,a)].
% 0.82/1.08 Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,B,tc_fun(C,A)) = B. [resolve(11,a,18,a)].
% 0.82/1.08 19 class_Lattices_Olower__semilattice(tc_nat) # label(clsarity_nat__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 0.82/1.08 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat) = c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_nat). [resolve(19,a,12,a)].
% 0.82/1.08 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_nat),tc_nat) = c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_nat),tc_nat). [resolve(19,a,13,a)].
% 0.82/1.08 Derived: c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat),C,tc_nat) = c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_nat),tc_nat). [resolve(19,a,14,a)].
% 0.82/1.08 Derived: c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat),C,tc_nat) | -c_HOL_Oord__class_Oless(B,C,tc_nat). [resolve(19,a,15,a)].
% 0.82/1.08 Derived: c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat),C,tc_nat) | -c_HOL_Oord__class_Oless(A,C,tc_nat). [resolve(19,a,16,a)].
% 0.82/1.08 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat),tc_nat) = c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat). [resolve(19,a,17,a)].
% 0.82/1.08 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_nat) = A. [resolve(19,a,18,a)].
% 0.82/1.08 20 class_Lattices_Olower__semilattice(tc_bool) # label(clsarity_bool__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 0.82/1.08 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool) = c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_bool). [resolve(20,a,12,a)].
% 0.82/1.08 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_bool),tc_bool) = c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_bool),tc_bool). [resolve(20,a,13,a)].
% 0.82/1.08 Derived: c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),C,tc_bool) = c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_bool),tc_bool). [resolve(20,a,14,a)].
% 0.82/1.08 Derived: c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),C,tc_bool) | -c_HOL_Oord__class_Oless(B,C,tc_bool). [resolve(20,a,15,a)].
% 0.82/1.08 Derived: c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),C,tc_bool) | -c_HOL_Oord__class_Oless(A,C,tc_bool). [resolve(20,a,16,a)].
% 0.82/1.08 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),tc_bool) = c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool). [resolve(20,a,17,a)].
% 0.82/1.08 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_bool) = A. [resolve(20,a,18,a)].
% 0.82/1.08 21 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 0.82/1.08 22 -class_Orderings_Olinorder(A) | -c_HOL_Oord__class_Oless(B,B,A) # label(cls_linorder__neq__iff_1) # label(axiom). [assumption].
% 0.82/1.08 23 -class_Orderings_Olinorder(A) | B = C | c_HOL_Oord__class_Oless(C,B,A) | c_HOL_Oord__class_Oless(B,C,A) # label(cls_not__less__iff__gr__or__eq_0) # label(axiom). [assumption].
% 0.82/1.08 24 -class_Orderings_Olinorder(A) | c_HOL_Oord__class_Oless(B,C,A) | c_HOL_Oord__class_Oless(C,B,A) | C = B # label(cls_linorder__neqE_0) # label(axiom). [assumption].
% 0.82/1.13 25 -class_Orderings_Olinorder(A) | c_HOL_Oord__class_Oless(B,C,A) | C = B | c_HOL_Oord__class_Oless(C,B,A) # label(cls_linorder__less__linear_0) # label(axiom). [assumption].
% 0.82/1.13 26 -class_Orderings_Olinorder(A) | B = C | c_HOL_Oord__class_Oless(B,C,A) | c_HOL_Oord__class_Oless(C,B,A) # label(cls_linorder__antisym__conv3_0) # label(axiom). [assumption].
% 0.82/1.13 27 -class_Orderings_Olinorder(A) | -c_HOL_Oord__class_Oless(B,C,A) | -c_HOL_Oord__class_Oless(C,B,A) # label(cls_not__less__iff__gr__or__eq_1) # label(axiom). [assumption].
% 0.82/1.13 Derived: -c_HOL_Oord__class_Oless(A,A,tc_nat). [resolve(21,a,22,a)].
% 0.82/1.13 Derived: A = B | c_HOL_Oord__class_Oless(B,A,tc_nat) | c_HOL_Oord__class_Oless(A,B,tc_nat). [resolve(21,a,23,a)].
% 0.82/1.13 Derived: -c_HOL_Oord__class_Oless(A,B,tc_nat) | -c_HOL_Oord__class_Oless(B,A,tc_nat). [resolve(21,a,27,a)].
% 0.82/1.13
% 0.82/1.13 ============================== end predicate elimination =============
% 0.82/1.13
% 0.82/1.13 Auto_denials: (non-Horn, no changes).
% 0.82/1.13
% 0.82/1.13 Term ordering decisions:
% 0.82/1.13 Function symbol KB weights: tc_Lambda_OdB=1. c_Lambda_OdB_OApp=1. tc_nat=1. c_Lambda_Obeta=1. tc_bool=1. c_InductTermi_OIT=1. tc_Type_Otype=1. c_Type_Otype_OFun=1. v_T____=1. v_e____=1. v_rs____=1. v_ea______=1. v_i____=1. v_n____=1. v_u____=1. v_ua______=1. v_T_H____=1. v_T_Ha______=1. v_Ts____=1. v_ia______=1. hAPP=1. tc_fun=1. c_Transitive__Closure_Ortranclp=1. c_Lambda_Olift=1. c_Nat_Osemiring__1__class_Oof__nat=1. c_Nat_Osize__class_Osize=1. c_Type_Otyping=1. c_Lambda_OdB_OVar=1. c_List_Olist_ONil=1. c_Lambda_OdB_OAbs=1. c_HOL_Ozero__class_Ozero=1. c_fequal=1. tc_List_Olist=1. c_Ex=1. c_Lattices_Olower__semilattice__class_Oinf=1. c_List_Oappend=1. c_Lambda_Osubst=1. c_Predicate_Oconversep=1. c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1=1. c_List_Osko__List__Xin__listsp__conv__set__1__1=1. c_Type_Oshift=1. c_Set_Oimage=1. c_Type_Osko__Type__Xlist__app__typeD__1__1=1. c_Type_Osko__Type__Xlist__app__typeE__1__1=1. c_Type_Osko__Type__Xtyping__elims__2__1=1. c_Type_Osko__Type__Xvar__app__typesE__1__1=1. c_Type_Osko__Type__Xvar__app__types__1__1=1. c_List_Ofoldl=1. c_List_Ofoldr=1. c_COMBB=1. c_COMBC=1.
% 0.82/1.13
% 0.82/1.13 ============================== end of process initial clauses ========
% 0.82/1.13
% 0.82/1.13 ============================== CLAUSES FOR SEARCH ====================
% 0.82/1.13
% 0.82/1.13 ============================== end of clauses for search =============
% 0.82/1.13
% 0.82/1.13 ============================== SEARCH ================================
% 0.82/1.13
% 0.82/1.13 % Starting search at 0.07 seconds.
% 0.82/1.13
% 0.82/1.13 ============================== PROOF =================================
% 0.82/1.13 % SZS status Unsatisfiable
% 0.82/1.13 % SZS output start Refutation
% 0.82/1.13
% 0.82/1.13 % Proof 1 at 0.09 (+ 0.00) seconds.
% 0.82/1.13 % Length of proof is 4.
% 0.82/1.13 % Level of proof is 1.
% 0.82/1.13 % Maximum clause weight is 17.000.
% 0.82/1.13 % Given clauses 154.
% 0.82/1.13
% 0.82/1.13 209 c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(A),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),B,tc_Lambda_OdB) | -c_Type_Otypings(A,B,C) # label(cls_lists__typings_0) # label(axiom). [assumption].
% 0.82/1.13 233 c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_rs____,v_Ts____) # label(cls_CHAINED_0) # label(axiom). [assumption].
% 0.82/1.13 234 -c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_rs____,tc_Lambda_OdB) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 0.82/1.13 549 $F. [resolve(233,a,209,b),unit_del(a,234)].
% 0.82/1.13
% 0.82/1.13 % SZS output end Refutation
% 0.82/1.13 ============================== end of proof ==========================
% 0.82/1.13
% 0.82/1.13 ============================== STATISTICS ============================
% 0.82/1.13
% 0.82/1.13 Given=154. Generated=827. Kept=473. proofs=1.
% 0.82/1.13 Usable=154. Sos=311. Demods=32. Limbo=0, Disabled=270. Hints=0.
% 0.82/1.13 Megabytes=1.31.
% 0.82/1.13 User_CPU=0.09, System_CPU=0.00, Wall_clock=0.
% 0.82/1.13
% 0.82/1.13 ============================== end of statistics =====================
% 0.82/1.13
% 0.82/1.13 ============================== end of search =========================
% 0.82/1.13
% 0.82/1.13 THEOREM PROVED
% 0.82/1.13 % SZS status Unsatisfiable
% 0.82/1.13
% 0.82/1.13 Exiting with 1 proof.
% 0.82/1.13
% 0.82/1.13 Process 14634 exit (max_proofs) Sun Jul 3 07:41:30 2022
% 0.82/1.13 Prover9 interrupted
%------------------------------------------------------------------------------