TSTP Solution File: SWV926-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV926-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n007.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 : Wed Jul 20 21:15:17 EDT 2022
% Result : Unsatisfiable 3.66s 3.95s
% Output : Refutation 3.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV926-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n007.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 : Tue Jun 14 21:43:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.43/1.70 ============================== Prover9 ===============================
% 1.43/1.70 Prover9 (32) version 2009-11A, November 2009.
% 1.43/1.70 Process 16182 was started by sandbox on n007.cluster.edu,
% 1.43/1.70 Tue Jun 14 21:43:11 2022
% 1.43/1.70 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_16029_n007.cluster.edu".
% 1.43/1.70 ============================== end of head ===========================
% 1.43/1.70
% 1.43/1.70 ============================== INPUT =================================
% 1.43/1.70
% 1.43/1.70 % Reading from file /tmp/Prover9_16029_n007.cluster.edu
% 1.43/1.70
% 1.43/1.70 set(prolog_style_variables).
% 1.43/1.70 set(auto2).
% 1.43/1.70 % set(auto2) -> set(auto).
% 1.43/1.70 % set(auto) -> set(auto_inference).
% 1.43/1.70 % set(auto) -> set(auto_setup).
% 1.43/1.70 % set(auto_setup) -> set(predicate_elim).
% 1.43/1.70 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.43/1.70 % set(auto) -> set(auto_limits).
% 1.43/1.70 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.43/1.70 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.43/1.70 % set(auto) -> set(auto_denials).
% 1.43/1.70 % set(auto) -> set(auto_process).
% 1.43/1.70 % set(auto2) -> assign(new_constants, 1).
% 1.43/1.70 % set(auto2) -> assign(fold_denial_max, 3).
% 1.43/1.70 % set(auto2) -> assign(max_weight, "200.000").
% 1.43/1.70 % set(auto2) -> assign(max_hours, 1).
% 1.43/1.70 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.43/1.70 % set(auto2) -> assign(max_seconds, 0).
% 1.43/1.70 % set(auto2) -> assign(max_minutes, 5).
% 1.43/1.70 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.43/1.70 % set(auto2) -> set(sort_initial_sos).
% 1.43/1.70 % set(auto2) -> assign(sos_limit, -1).
% 1.43/1.70 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.43/1.70 % set(auto2) -> assign(max_megs, 400).
% 1.43/1.70 % set(auto2) -> assign(stats, some).
% 1.43/1.70 % set(auto2) -> clear(echo_input).
% 1.43/1.70 % set(auto2) -> set(quiet).
% 1.43/1.70 % set(auto2) -> clear(print_initial_clauses).
% 1.43/1.70 % set(auto2) -> clear(print_given).
% 1.43/1.70 assign(lrs_ticks,-1).
% 1.43/1.70 assign(sos_limit,10000).
% 1.43/1.70 assign(order,kbo).
% 1.43/1.70 set(lex_order_vars).
% 1.43/1.70 clear(print_given).
% 1.43/1.70
% 1.43/1.70 % formulas(sos). % not echoed (496 formulas)
% 1.43/1.70
% 1.43/1.70 ============================== end of input ==========================
% 1.43/1.70
% 1.43/1.70 % From the command line: assign(max_seconds, 300).
% 1.43/1.70
% 1.43/1.70 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.43/1.71
% 1.43/1.71 % Formulas that are not ordinary clauses:
% 1.43/1.71
% 1.43/1.71 ============================== end of process non-clausal formulas ===
% 1.43/1.71
% 1.43/1.71 ============================== PROCESS INITIAL CLAUSES ===============
% 1.43/1.71
% 1.43/1.71 ============================== PREDICATE ELIMINATION =================
% 1.43/1.71 1 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 1.43/1.71 2 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 1.43/1.71 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(1,a,2,a)].
% 1.43/1.71 3 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 1.43/1.71 4 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A) # label(cls_le__supE_0) # label(axiom). [assumption].
% 1.43/1.71 5 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A) # label(cls_le__supE_1) # label(axiom). [assumption].
% 1.43/1.71 6 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) | -c_lessequals(B,C,A) # label(cls_le__supI1_0) # label(axiom). [assumption].
% 1.43/1.71 7 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) | -c_lessequals(B,D,A) # label(cls_le__supI2_0) # label(axiom). [assumption].
% 1.43/1.71 8 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A) # label(cls_le__sup__iff_0) # label(axiom). [assumption].
% 1.43/1.71 9 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A) # label(cls_le__sup__iff_1) # label(axiom). [assumption].
% 1.43/1.71 10 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = C | -c_lessequals(B,C,A) # label(cls_le__iff__sup_0) # label(axiom). [assumption].
% 1.43/1.71 11 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) != C | c_lessequals(B,C,A) # label(cls_le__iff__sup_1) # label(axiom). [assumption].
% 1.43/1.71 12 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = B | -c_lessequals(C,B,A) # label(cls_sup__absorb1_0) # label(axiom). [assumption].
% 1.43/1.71 13 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 1.43/1.71 14 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) # label(cls_sup__assoc_0) # label(axiom). [assumption].
% 1.43/1.71 15 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) = c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A) # label(cls_sup__left__commute_0) # label(axiom). [assumption].
% 1.43/1.71 16 -class_Lattices_Oupper__semilattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_le__supI_0) # label(axiom). [assumption].
% 1.43/1.71 17 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A) # label(cls_sup__ge1_0) # label(axiom). [assumption].
% 1.43/1.71 18 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A) # label(cls_sup__ge2_0) # label(axiom). [assumption].
% 1.43/1.71 19 -class_Lattices_Oupper__semilattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_sup__least_0) # label(axiom). [assumption].
% 1.43/1.71 20 -class_Lattices_Oupper__semilattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_le__sup__iff_2) # label(axiom). [assumption].
% 1.43/1.71 21 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = c_Lattices_Oupper__semilattice__class_Osup(C,B,A) # label(cls_sup__commute_0) # label(axiom). [assumption].
% 1.43/1.71 22 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A) = c_Lattices_Oupper__semilattice__class_Osup(B,C,A) # label(cls_sup__left__idem_0) # label(axiom). [assumption].
% 1.43/1.71 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(D,A)),C,tc_fun(D,A)). [resolve(3,a,4,a)].
% 1.43/1.71 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(E,B,tc_fun(D,A)),C,tc_fun(D,A)). [resolve(3,a,5,a)].
% 1.43/1.71 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_lessequals(B,C,tc_fun(E,A)). [resolve(3,a,6,a)].
% 1.43/1.71 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_lessequals(B,D,tc_fun(E,A)). [resolve(3,a,7,a)].
% 1.43/1.71 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = C | -c_lessequals(B,C,tc_fun(D,A)). [resolve(3,a,10,a)].
% 1.43/1.71 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) != C | c_lessequals(B,C,tc_fun(D,A)). [resolve(3,a,11,a)].
% 1.43/1.71 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = B | -c_lessequals(C,B,tc_fun(D,A)). [resolve(3,a,12,a)].
% 1.43/1.71 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(3,a,13,a)].
% 1.43/1.71 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),E,tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,E,tc_fun(D,A)),tc_fun(D,A)). [resolve(3,a,14,a)].
% 1.43/1.71 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) = c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(E,A)),tc_fun(E,A)). [resolve(3,a,15,a)].
% 1.43/1.71 Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),E,tc_fun(D,A)) | -c_lessequals(C,E,tc_fun(D,A)) | -c_lessequals(B,E,tc_fun(D,A)). [resolve(3,a,16,a)].
% 1.43/1.71 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),tc_fun(D,A)). [resolve(3,a,17,a)].
% 1.43/1.71 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(D,A)),tc_fun(D,A)). [resolve(3,a,18,a)].
% 1.43/1.71 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(D,A)). [resolve(3,a,21,a)].
% 1.43/1.71 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)). [resolve(3,a,22,a)].
% 1.43/1.71 23 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 1.43/1.71 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_nat),B,tc_nat). [resolve(23,a,4,a)].
% 1.43/1.71 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_nat),B,tc_nat). [resolve(23,a,5,a)].
% 1.43/1.71 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(23,a,6,a)].
% 1.43/1.71 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_lessequals(A,C,tc_nat). [resolve(23,a,7,a)].
% 1.43/1.71 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(23,a,10,a)].
% 1.43/1.71 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(23,a,11,a)].
% 1.43/1.71 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(23,a,12,a)].
% 1.43/1.71 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(23,a,13,a)].
% 1.43/1.71 Derived: c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),C,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat). [resolve(23,a,14,a)].
% 1.43/1.71 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_nat),tc_nat). [resolve(23,a,15,a)].
% 1.43/1.71 Derived: c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),C,tc_nat) | -c_lessequals(B,C,tc_nat) | -c_lessequals(A,C,tc_nat). [resolve(23,a,16,a)].
% 1.43/1.71 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(23,a,17,a)].
% 1.43/1.71 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(23,a,18,a)].
% 1.43/1.71 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat). [resolve(23,a,21,a)].
% 1.43/1.71 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat). [resolve(23,a,22,a)].
% 1.43/1.71 24 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 1.43/1.71 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_bool),B,tc_bool). [resolve(24,a,4,a)].
% 1.43/1.71 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_bool),B,tc_bool). [resolve(24,a,5,a)].
% 3.66/3.94 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_lessequals(A,B,tc_bool). [resolve(24,a,6,a)].
% 3.66/3.94 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_lessequals(A,C,tc_bool). [resolve(24,a,7,a)].
% 3.66/3.94 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool). [resolve(24,a,10,a)].
% 3.66/3.94 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool). [resolve(24,a,11,a)].
% 3.66/3.94 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool). [resolve(24,a,12,a)].
% 3.66/3.94 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(24,a,13,a)].
% 3.66/3.94 Derived: c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),C,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool). [resolve(24,a,14,a)].
% 3.66/3.94 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_bool),tc_bool). [resolve(24,a,15,a)].
% 3.66/3.94 Derived: c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),C,tc_bool) | -c_lessequals(B,C,tc_bool) | -c_lessequals(A,C,tc_bool). [resolve(24,a,16,a)].
% 3.66/3.94 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(24,a,17,a)].
% 3.66/3.94 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(24,a,18,a)].
% 3.66/3.94 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool). [resolve(24,a,21,a)].
% 3.66/3.94 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool). [resolve(24,a,22,a)].
% 3.66/3.94 25 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom). [assumption].
% 3.66/3.94 26 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom). [assumption].
% 3.66/3.94 Derived: A = A. [resolve(25,b,26,a)].
% 3.66/3.94
% 3.66/3.94 ============================== end predicate elimination =============
% 3.66/3.94
% 3.66/3.94 Auto_denials: (non-Horn, no changes).
% 3.66/3.94
% 3.66/3.94 Term ordering decisions:
% 3.66/3.94 Function symbol KB weights: tc_String_Ochar=1. tc_Value_Oval=1. tc_nat=1. tc_bool=1. t_a=1. v_x=1. c_WWellForm_Owwf__J__mdecl=1. c_Value_Oval_ONull=1. t_b=1. v_ab=1. v_ac=1. v_ad=1. v_ae=1. v_b=1. v_ba=1. v_e_Ha=1. v_ea=1. v_P=1. v_a=1. v_aa=1. v_e_092_060_094isub_0622=1. tc_prod=1. tc_fun=1. hAPP=1. c_Expr_Oexp_Othrow=1. c_Transitive__Closure_Ortrancl=1. c_Expr_Oexp_OVal=1. c_DefAss_O_092_060A_062=1. tc_List_Olist=1. tc_Option_Ooption=1. tc_Expr_Oexp=1. c_in=1. c_SmallStep_Ored=1. c_Option_Ooption_OSome=1. c_Expr_Ofv=1. c_Orderings_Obot__class_Obot=1. c_Value_Oval_OAddr=1. c_Expr_Ofvs=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Map_Odom=1. c_Expr_Oexp_OSeq=1. c_Expr_Oexp_OCast=1. c_Expr_Oexp_OLAss=1. c_List_Olist_OCons=1. c_Expr_Oexp_OWhile=1. c_Pair=1. c_Expr_Oexp_OBinOp=1. c_Map_Omap__add=1. c_Expr_Oexp_OFAcc=1. c_Expr_Oexp_OCall=1. c_Expr_Oexp_OCond=1. c_Expr_Oexp_OBlock=1. c_Map_Orestrict__map=1. c_Wellfounded_Olex__prod=1. c_Map_Osko__Map__XdomD__1__1=1. c_Recdef_Osame__fst=1. c_Fun_Ofun__upd=1. c_Expr_Oexp_OFAss=1. c_Expr_Oexp_OTryCatch=1. c_COMBC=1. c_Option_Ooption_Ooption__case=1.
% 3.66/3.94
% 3.66/3.94 ============================== end of process initial clauses ========
% 3.66/3.94
% 3.66/3.94 ============================== CLAUSES FOR SEARCH ====================
% 3.66/3.94
% 3.66/3.94 ============================== end of clauses for search =============
% 3.66/3.94
% 3.66/3.94 ============================== SEARCH ================================
% 3.66/3.94
% 3.66/3.94 % Starting search at 0.29 seconds.
% 3.66/3.94
% 3.66/3.94 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 83 (0.00 of 0.61 sec).
% 3.66/3.94
% 3.66/3.94 Low Water (keep): wt=78.000, iters=3754
% 3.66/3.94
% 3.66/3.94 Low Water (keep): wt=77.000, iters=3379
% 3.66/3.94
% 3.66/3.94 Low Water (keep): wt=75.000, iters=3360
% 3.66/3.95
% 3.66/3.95 ============================== PROOF =================================
% 3.66/3.95 % SZS status Unsatisfiable
% 3.66/3.95 % SZS output start Refutation
% 3.66/3.95
% 3.66/3.95 % Proof 1 at 2.43 (+ 0.01) seconds.
% 3.66/3.95 % Length of proof is 33.
% 3.66/3.95 % Level of proof is 6.
% 3.66/3.95 % Maximum clause weight is 73.000.
% 3.66/3.95 % Given clauses 823.
% 3.66/3.95
% 3.66/3.95 3 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 3.66/3.95 6 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) | -c_lessequals(B,C,A) # label(cls_le__supI1_0) # label(axiom). [assumption].
% 3.66/3.95 7 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) | -c_lessequals(B,D,A) # label(cls_le__supI2_0) # label(axiom). [assumption].
% 3.66/3.95 443 c_lessequals(A,B,tc_fun(C,tc_bool)) | -c_lessequals(D,B,tc_fun(C,tc_bool)) | -c_lessequals(A,D,tc_fun(C,tc_bool)) # label(cls_subset__trans_0) # label(axiom). [assumption].
% 3.66/3.95 448 c_lessequals(A,B,tc_fun(C,tc_bool)) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,A,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool)) # label(cls_Un__subset__iff_1) # label(axiom). [assumption].
% 3.66/3.95 454 c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)) = A | -c_lessequals(B,A,tc_fun(C,tc_bool)) # label(cls_Un__absorb2_0) # label(axiom). [assumption].
% 3.66/3.95 472 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)) # label(cls_Un__assoc_0) # label(axiom). [assumption].
% 3.66/3.95 476 c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)) # label(cls_Un__upper2_0) # label(axiom). [assumption].
% 3.66/3.95 477 c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),tc_fun(C,tc_bool)) # label(cls_Un__upper1_0) # label(axiom). [assumption].
% 3.66/3.95 480 c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)) # label(cls_Un__commute_0) # label(axiom). [assumption].
% 3.66/3.95 485 c_lessequals(v_ad,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 3.66/3.95 489 c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ab # label(cls_conjecture_3) # label(negated_conjecture). [assumption].
% 3.66/3.95 492 c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ae,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ad # label(cls_conjecture_5) # label(negated_conjecture). [assumption].
% 3.66/3.95 495 -c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) | -c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) | -c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) # label(cls_conjecture_7) # label(negated_conjecture). [assumption].
% 3.66/3.95 509 class_Lattices_Olattice(tc_bool) # label(clsarity_bool__Lattices_Olattice) # label(axiom). [assumption].
% 3.66/3.95 516 -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_lessequals(B,C,tc_fun(E,A)). [resolve(3,a,6,a)].
% 3.66/3.95 517 -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_lessequals(B,D,tc_fun(E,A)). [resolve(3,a,7,a)].
% 3.66/3.95 1207 c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)),tc_fun(D,tc_bool)). [resolve(476,a,448,b)].
% 3.66/3.95 1212 -c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) | -c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)). [back_unit_del(495),unit_del(a,1207)].
% 3.66/3.95 1240 c_Lattices_Oupper__semilattice__class_Osup(v_ab,v_ad,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ab. [resolve(485,a,454,b)].
% 3.66/3.95 1249 c_lessequals(A,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) | -c_lessequals(A,v_ad,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)). [resolve(485,a,443,b)].
% 3.66/3.95 1291 c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,A,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(v_ab,A,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)). [para(489(a,1),472(a,1,1)),flip(a)].
% 3.66/3.95 1296 -c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_ab,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) | -c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ab,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)). [back_rewrite(1212),rewrite([1291(18),1291(35)])].
% 3.66/3.95 1333 c_lessequals(v_ae,v_ad,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)). [para(492(a,1),476(a,2))].
% 3.66/3.95 1334 c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ad,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)). [para(492(a,1),477(a,2))].
% 3.66/3.95 1520 -c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_ab,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) | -c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)). [para(480(a,1),1296(b,2))].
% 3.66/3.95 1722 c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(A,v_ad,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)). [resolve(1333,a,517,c),unit_del(a,509)].
% 3.66/3.95 5050 c_lessequals(v_ae,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)). [para(1240(a,1),1722(a,2))].
% 3.66/3.95 5056 c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_ab,A,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)). [resolve(5050,a,516,c),unit_del(a,509)].
% 3.66/3.95 5065 -c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)). [back_unit_del(1520),unit_del(a,5056)].
% 3.66/3.95 7460 c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)). [resolve(1249,b,1334,a)].
% 3.66/3.95 7465 c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(A,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)). [resolve(7460,a,517,c),unit_del(a,509)].
% 3.66/3.96 7466 $F. [resolve(7465,a,5065,a)].
% 3.66/3.96
% 3.66/3.96 % SZS output end Refutation
% 3.66/3.96 ============================== end of proof ==========================
% 3.66/3.96
% 3.66/3.96 ============================== STATISTICS ============================
% 3.66/3.96
% 3.66/3.96 Given=823. Generated=22789. Kept=7317. proofs=1.
% 3.66/3.96 Usable=811. Sos=6344. Demods=378. Limbo=4, Disabled=700. Hints=0.
% 3.66/3.96 Megabytes=20.33.
% 3.66/3.96 User_CPU=2.43, System_CPU=0.01, Wall_clock=2.
% 3.66/3.96
% 3.66/3.96 ============================== end of statistics =====================
% 3.66/3.96
% 3.66/3.96 ============================== end of search =========================
% 3.66/3.96
% 3.66/3.96 THEOREM PROVED
% 3.66/3.96 % SZS status Unsatisfiable
% 3.66/3.96
% 3.66/3.96 Exiting with 1 proof.
% 3.66/3.96
% 3.66/3.96 Process 16182 exit (max_proofs) Tue Jun 14 21:43:13 2022
% 3.66/3.96 Prover9 interrupted
%------------------------------------------------------------------------------