TSTP Solution File: SWV907-1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV907-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n017.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 21:15:13 EDT 2022
% Result : Unsatisfiable 40.51s 40.76s
% Output : Refutation 40.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV907-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n017.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 : Wed Jun 15 06:06:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.45/1.16 ============================== Prover9 ===============================
% 0.45/1.16 Prover9 (32) version 2009-11A, November 2009.
% 0.45/1.16 Process 24111 was started by sandbox2 on n017.cluster.edu,
% 0.45/1.16 Wed Jun 15 06:06:25 2022
% 0.45/1.16 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_23958_n017.cluster.edu".
% 0.45/1.16 ============================== end of head ===========================
% 0.45/1.16
% 0.45/1.16 ============================== INPUT =================================
% 0.45/1.16
% 0.45/1.16 % Reading from file /tmp/Prover9_23958_n017.cluster.edu
% 0.45/1.16
% 0.45/1.16 set(prolog_style_variables).
% 0.45/1.16 set(auto2).
% 0.45/1.16 % set(auto2) -> set(auto).
% 0.45/1.16 % set(auto) -> set(auto_inference).
% 0.45/1.16 % set(auto) -> set(auto_setup).
% 0.45/1.16 % set(auto_setup) -> set(predicate_elim).
% 0.45/1.16 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/1.16 % set(auto) -> set(auto_limits).
% 0.45/1.16 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/1.16 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/1.16 % set(auto) -> set(auto_denials).
% 0.45/1.16 % set(auto) -> set(auto_process).
% 0.45/1.16 % set(auto2) -> assign(new_constants, 1).
% 0.45/1.16 % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/1.16 % set(auto2) -> assign(max_weight, "200.000").
% 0.45/1.16 % set(auto2) -> assign(max_hours, 1).
% 0.45/1.16 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/1.16 % set(auto2) -> assign(max_seconds, 0).
% 0.45/1.16 % set(auto2) -> assign(max_minutes, 5).
% 0.45/1.16 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/1.16 % set(auto2) -> set(sort_initial_sos).
% 0.45/1.16 % set(auto2) -> assign(sos_limit, -1).
% 0.45/1.16 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/1.16 % set(auto2) -> assign(max_megs, 400).
% 0.45/1.16 % set(auto2) -> assign(stats, some).
% 0.45/1.16 % set(auto2) -> clear(echo_input).
% 0.45/1.16 % set(auto2) -> set(quiet).
% 0.45/1.16 % set(auto2) -> clear(print_initial_clauses).
% 0.45/1.16 % set(auto2) -> clear(print_given).
% 0.45/1.16 assign(lrs_ticks,-1).
% 0.45/1.16 assign(sos_limit,10000).
% 0.45/1.16 assign(order,kbo).
% 0.45/1.16 set(lex_order_vars).
% 0.45/1.16 clear(print_given).
% 0.45/1.16
% 0.45/1.16 % formulas(sos). % not echoed (551 formulas)
% 0.45/1.16
% 0.45/1.16 ============================== end of input ==========================
% 0.45/1.16
% 0.45/1.16 % From the command line: assign(max_seconds, 300).
% 0.45/1.16
% 0.45/1.16 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/1.17
% 0.45/1.17 % Formulas that are not ordinary clauses:
% 0.45/1.17
% 0.45/1.17 ============================== end of process non-clausal formulas ===
% 0.45/1.17
% 0.45/1.17 ============================== PROCESS INITIAL CLAUSES ===============
% 0.45/1.17
% 0.45/1.17 ============================== PREDICATE ELIMINATION =================
% 0.45/1.17 1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.45/1.17 2 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 0.45/1.17 3 -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].
% 0.45/1.17 4 -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].
% 0.45/1.17 5 -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].
% 0.45/1.17 6 -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].
% 0.45/1.17 7 -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].
% 0.45/1.17 8 -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].
% 0.45/1.17 9 -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].
% 0.45/1.17 10 -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].
% 0.45/1.17 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].
% 0.45/1.17 12 -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].
% 0.45/1.17 13 -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].
% 0.45/1.17 14 -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].
% 0.45/1.17 15 -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].
% 0.45/1.17 16 -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].
% 0.45/1.17 17 -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].
% 0.45/1.17 18 -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].
% 0.45/1.17 19 -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].
% 0.45/1.17 20 -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].
% 0.45/1.17 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(1,a,2,a)].
% 0.45/1.17 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(1,a,3,a)].
% 0.45/1.17 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(1,a,4,a)].
% 0.45/1.17 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(1,a,5,a)].
% 0.45/1.17 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(1,a,6,a)].
% 0.45/1.17 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(1,a,7,a)].
% 0.45/1.17 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(1,a,10,a)].
% 0.45/1.17 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(1,a,11,a)].
% 0.45/1.17 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(1,a,12,a)].
% 0.45/1.17 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(1,a,13,a)].
% 0.45/1.17 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(1,a,14,a)].
% 0.45/1.17 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(1,a,15,a)].
% 0.45/1.17 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(1,a,16,a)].
% 0.45/1.17 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(1,a,17,a)].
% 0.45/1.17 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(1,a,18,a)].
% 0.45/1.17 21 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.45/1.17 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(21,a,2,a)].
% 0.45/1.17 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(21,a,3,a)].
% 0.45/1.17 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(21,a,4,a)].
% 0.45/1.17 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(21,a,5,a)].
% 0.45/1.17 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(21,a,6,a)].
% 0.45/1.17 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(21,a,7,a)].
% 0.45/1.17 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(21,a,10,a)].
% 0.45/1.17 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(21,a,11,a)].
% 0.45/1.17 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(21,a,12,a)].
% 0.45/1.17 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat). [resolve(21,a,13,a)].
% 0.45/1.17 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(21,a,14,a)].
% 0.45/1.17 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_nat),B,tc_nat). [resolve(21,a,15,a)].
% 0.45/1.17 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_nat),B,tc_nat). [resolve(21,a,16,a)].
% 0.45/1.17 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_lessequals(A,C,tc_nat). [resolve(21,a,17,a)].
% 0.45/1.17 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(21,a,18,a)].
% 0.45/1.17 22 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.45/1.17 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(22,a,2,a)].
% 0.45/1.17 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(22,a,3,a)].
% 0.45/1.17 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(22,a,4,a)].
% 0.45/1.17 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(22,a,5,a)].
% 0.45/1.17 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(22,a,6,a)].
% 0.45/1.17 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(22,a,7,a)].
% 0.45/1.17 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool). [resolve(22,a,10,a)].
% 0.45/1.17 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool). [resolve(22,a,11,a)].
% 0.45/1.17 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool). [resolve(22,a,12,a)].
% 0.45/1.17 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool). [resolve(22,a,13,a)].
% 0.45/1.17 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(22,a,14,a)].
% 0.45/1.17 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_bool),B,tc_bool). [resolve(22,a,15,a)].
% 0.45/1.17 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_bool),B,tc_bool). [resolve(22,a,16,a)].
% 0.45/1.17 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_lessequals(A,C,tc_bool). [resolve(22,a,17,a)].
% 0.45/1.17 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_lessequals(A,B,tc_bool). [resolve(22,a,18,a)].
% 0.45/1.17 23 class_Lattices_Olower__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 0.45/1.17 24 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,A) = B | -c_lessequals(B,C,A) # label(cls_le__iff__inf_0) # label(axiom). [assumption].
% 0.45/1.17 25 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,A) != B | c_lessequals(B,C,A) # label(cls_le__iff__inf_1) # label(axiom). [assumption].
% 0.45/1.17 26 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,A) = C | -c_lessequals(C,B,A) # label(cls_inf__absorb2_0) # label(axiom). [assumption].
% 0.45/1.17 27 -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].
% 0.45/1.17 28 -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].
% 0.45/1.17 29 -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].
% 0.45/1.17 30 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) # label(cls_le__infE_0) # label(axiom). [assumption].
% 0.45/1.17 31 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A) # label(cls_le__infE_1) # label(axiom). [assumption].
% 0.45/1.17 32 -class_Lattices_Olower__semilattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A) | -c_lessequals(B,D,A) # label(cls_le__infI1_0) # label(axiom). [assumption].
% 0.45/1.17 33 -class_Lattices_Olower__semilattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A) | -c_lessequals(C,D,A) # label(cls_le__infI2_0) # label(axiom). [assumption].
% 0.45/1.17 34 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) # label(cls_le__inf__iff_0) # label(axiom). [assumption].
% 0.45/1.17 35 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A) # label(cls_le__inf__iff_1) # label(axiom). [assumption].
% 0.45/1.17 36 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) | -c_lessequals(B,D,A) | -c_lessequals(B,C,A) # label(cls_inf__greatest_0) # label(axiom). [assumption].
% 0.45/1.17 37 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) | -c_lessequals(B,D,A) | -c_lessequals(B,C,A) # label(cls_le__inf__iff_2) # label(axiom). [assumption].
% 0.45/1.17 38 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) | -c_lessequals(B,D,A) | -c_lessequals(B,C,A) # label(cls_le__infI_0) # label(axiom). [assumption].
% 0.45/1.17 39 -class_Lattices_Olower__semilattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A) # label(cls_inf__le2_0) # label(axiom). [assumption].
% 0.45/1.17 40 -class_Lattices_Olower__semilattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A) # label(cls_inf__le1_0) # label(axiom). [assumption].
% 0.45/1.17 41 -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].
% 0.45/1.17 42 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,B,A) = B # label(cls_inf__idem_0) # label(axiom). [assumption].
% 0.45/1.17 Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)) = B | -c_lessequals(B,C,tc_fun(D,A)). [resolve(23,a,24,a)].
% 0.45/1.17 Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)) != B | c_lessequals(B,C,tc_fun(D,A)). [resolve(23,a,25,a)].
% 0.45/1.17 Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)) = C | -c_lessequals(C,B,tc_fun(D,A)). [resolve(23,a,26,a)].
% 0.45/1.17 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(23,a,27,a)].
% 0.45/1.17 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(23,a,28,a)].
% 0.45/1.17 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(23,a,29,a)].
% 0.45/1.17 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,E,tc_fun(D,A)),tc_fun(D,A)). [resolve(23,a,30,a)].
% 0.45/1.17 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(E,C,tc_fun(D,A)),tc_fun(D,A)). [resolve(23,a,31,a)].
% 0.45/1.17 Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),E,tc_fun(D,A)) | -c_lessequals(B,E,tc_fun(D,A)). [resolve(23,a,32,a)].
% 0.45/1.17 Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),E,tc_fun(D,A)) | -c_lessequals(C,E,tc_fun(D,A)). [resolve(23,a,33,a)].
% 0.45/1.17 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_lessequals(B,D,tc_fun(E,A)) | -c_lessequals(B,C,tc_fun(E,A)). [resolve(23,a,36,a)].
% 0.45/1.17 Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),C,tc_fun(D,A)). [resolve(23,a,39,a)].
% 0.45/1.17 Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),B,tc_fun(D,A)). [resolve(23,a,40,a)].
% 0.45/1.17 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(23,a,41,a)].
% 0.45/1.17 Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,B,tc_fun(C,A)) = B. [resolve(23,a,42,a)].
% 0.45/1.17 43 class_Lattices_Olower__semilattice(tc_nat) # label(clsarity_nat__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 0.45/1.17 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat) = A | -c_lessequals(A,B,tc_nat). [resolve(43,a,24,a)].
% 0.45/1.17 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat) != A | c_lessequals(A,B,tc_nat). [resolve(43,a,25,a)].
% 0.45/1.17 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat) = B | -c_lessequals(B,A,tc_nat). [resolve(43,a,26,a)].
% 0.45/1.17 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat) = c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_nat). [resolve(43,a,27,a)].
% 0.45/1.17 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(43,a,28,a)].
% 0.45/1.17 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(43,a,29,a)].
% 0.45/1.17 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_nat),tc_nat). [resolve(43,a,30,a)].
% 0.45/1.17 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(C,B,tc_nat),tc_nat). [resolve(43,a,31,a)].
% 0.45/1.17 Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat),C,tc_nat) | -c_lessequals(A,C,tc_nat). [resolve(43,a,32,a)].
% 0.45/1.17 Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat),C,tc_nat) | -c_lessequals(B,C,tc_nat). [resolve(43,a,33,a)].
% 0.45/1.17 Derived: c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_nat),tc_nat) | -c_lessequals(A,C,tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(43,a,36,a)].
% 0.45/1.17 Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat),B,tc_nat). [resolve(43,a,39,a)].
% 0.45/1.17 Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_nat),A,tc_nat). [resolve(43,a,40,a)].
% 0.45/1.17 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(43,a,41,a)].
% 0.45/1.17 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_nat) = A. [resolve(43,a,42,a)].
% 0.45/1.17 44 class_Lattices_Olower__semilattice(tc_bool) # label(clsarity_bool__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 0.45/1.17 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool) = A | -c_lessequals(A,B,tc_bool). [resolve(44,a,24,a)].
% 0.45/1.18 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool) != A | c_lessequals(A,B,tc_bool). [resolve(44,a,25,a)].
% 0.45/1.18 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool) = B | -c_lessequals(B,A,tc_bool). [resolve(44,a,26,a)].
% 0.45/1.18 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool) = c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_bool). [resolve(44,a,27,a)].
% 0.45/1.18 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(44,a,28,a)].
% 0.45/1.18 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(44,a,29,a)].
% 0.45/1.18 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_bool),tc_bool). [resolve(44,a,30,a)].
% 1.72/1.99 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(C,B,tc_bool),tc_bool). [resolve(44,a,31,a)].
% 1.72/1.99 Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),C,tc_bool) | -c_lessequals(A,C,tc_bool). [resolve(44,a,32,a)].
% 1.72/1.99 Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),C,tc_bool) | -c_lessequals(B,C,tc_bool). [resolve(44,a,33,a)].
% 1.72/1.99 Derived: c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_bool),tc_bool) | -c_lessequals(A,C,tc_bool) | -c_lessequals(A,B,tc_bool). [resolve(44,a,36,a)].
% 1.72/1.99 Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),B,tc_bool). [resolve(44,a,39,a)].
% 1.72/1.99 Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),A,tc_bool). [resolve(44,a,40,a)].
% 1.72/1.99 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(44,a,41,a)].
% 1.72/1.99 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_bool) = A. [resolve(44,a,42,a)].
% 1.72/1.99 45 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 1.72/1.99 46 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 1.72/1.99 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(45,a,46,a)].
% 1.72/1.99
% 1.72/1.99 ============================== end predicate elimination =============
% 1.72/1.99
% 1.72/1.99 Auto_denials: (non-Horn, no changes).
% 1.72/1.99
% 1.72/1.99 Term ordering decisions:
% 1.72/1.99 Function symbol KB weights: tc_bool=1. tc_nat=1. tc_Com_Ostate=1. tc_Com_Ocom=1. c_Com_Ocom_OBODY=1. tc_Com_Opname=1. t_a=1. c_Com_Obody=1. c_Hoare__Mirabelle_OMGT=1. v_x=1. c_Com_Ocom_OSKIP=1. t_b=1. v_c=1. v_pn=1. v_y=1. tc_fun=1. hAPP=1. c_Com_Ocom_OWhile=1. c_Com_Ocom_OSemi=1. c_Com_Ocom_OAss=1. c_Complete__Lattice_OSup__class_OSup=1. c_Option_Ois__none=1. c_Orderings_Obot__class_Obot=1. tc_Hoare__Mirabelle_Otriple=1. c_Option_Ooption_OSome=1. c_Orderings_Otop__class_Otop=1. c_Option_Ooption_ONone=1. tc_Option_Ooption=1. c_Natural_Oevalc=1. c_Option_Othe=1. c_fequal=1. v_sko__Hoare__Mirabelle__XMGF__lemma1__1=1. c_Com_Osko__Com__XWTs__elim__cases__7__1=1. v_sko__Hoare__Mirabelle__Xsingle__stateE__1=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Lattices_Olower__semilattice__class_Oinf=1. c_Set_Oinsert=1. c_in=1. c_Map_Odom=1. c_Com_Ocom_OCond=1. c_COMBK=1. c_Com_Ocom_OCall=1. c_Com_Ocom_OLocal=1. c_ATP__Linkup_Osko__Option__Xospec__1__1=1. c_Set_Oimage=1. c_Map_Omap__add=1. c_Hoare__Mirabelle_Otriple_Otriple=1. c_Option_Omap=1. c_Map_Osko__Map__XdomD__1__1=1. c_Fun_Ofun__upd=1. c_COMBB=1. c_Option_Ooption_Ooption__case=1. c_Option_Ooption_Ooption__rec=1. c_Map_Omap__comp=1. c_COMBC=1. c_Com_Ocom_Ocom__rec=1. c_Com_Ocom_Ocom__case=1.
% 1.72/1.99
% 1.72/1.99 ============================== end of process initial clauses ========
% 1.72/1.99
% 1.72/1.99 ============================== CLAUSES FOR SEARCH ====================
% 1.72/1.99
% 1.72/1.99 ============================== end of clauses for search =============
% 1.72/1.99
% 1.72/1.99 ============================== SEARCH ================================
% 1.72/1.99
% 1.72/1.99 % Starting search at 0.09 seconds.
% 1.72/1.99
% 1.72/1.99 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 72 (0.00 of 0.27 sec).
% 1.72/1.99
% 1.72/1.99 Low Water (keep): wt=65.000, iters=3541
% 1.72/1.99
% 1.72/1.99 Low Water (keep): wt=59.000, iters=3469
% 1.72/1.99
% 1.72/1.99 Low Water (keep): wt=48.000, iters=3423
% 1.72/1.99
% 1.72/1.99 Low Water (keep): wt=47.000, iters=3402
% 1.72/1.99
% 1.72/1.99 Low Water (keep): wt=45.000, iters=3366
% 1.72/1.99
% 1.72/1.99 Low Water (keep): wt=44.000, iters=3439
% 1.72/1.99
% 1.72/1.99 Low Water (keep): wt=43.000, iters=3400
% 1.72/1.99
% 1.72/1.99 Low Water (keep): wt=41.000, iters=3334
% 1.72/1.99
% 1.72/1.99 Low Water (keep): wt=36.000, iters=3436
% 1.72/1.99
% 1.72/1.99 Low Water (keep): wt=35.000, iters=3391
% 1.72/1.99
% 1.72/1.99 Low Water (keep): wt=34.000, iters=3355
% 1.72/1.99
% 1.72/1.99 Low Water (keep): wt=32.000, iters=3454
% 1.72/1.99
% 1.72/1.99 Low Water (keep): wt=30.000, iters=3355
% 1.72/1.99
% 1.72/1.99 Low Water (keep): wt=26.000, iters=3368
% 1.72/1.99
% 1.72/1.99 Low Water (keep): wt=23.000, iters=3804
% 1.72/1.99
% 1.72/1.99 Low Water (keep): wt=19.000, iters=3475
% 1.72/1.99
% 1.72/1.99 Low Water (keep): wt=15.000, iters=3350
% 1.72/1.99
% 1.72/1.99 Low Water (keep): wt=14.000, iters=3335
% 1.72/1.99
% 1.72/1.99 Low Water (keep): wt=12.000, iters=3342
% 2.48/2.76
% 2.48/2.76 Low Water (keep): wt=11.000, iters=3336
% 2.48/2.76
% 2.48/2.76 Low Water (keep): wt=10.000, iters=3337
% 2.48/2.76
% 2.48/2.76 Low Water (keep): wt=9.000, iters=3335
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3326, wt=200.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3912, wt=199.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3598, wt=198.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3633, wt=197.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=2635, wt=196.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3426, wt=195.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3429, wt=194.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3915, wt=193.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=2739, wt=192.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=4058, wt=191.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3796, wt=189.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3613, wt=188.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3634, wt=187.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3798, wt=186.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3627, wt=185.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3794, wt=184.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=2863, wt=183.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3328, wt=182.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3603, wt=181.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3210, wt=180.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3443, wt=179.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3803, wt=178.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=4062, wt=177.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3787, wt=176.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3590, wt=175.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3334, wt=174.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3644, wt=173.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3806, wt=172.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3622, wt=171.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=4069, wt=170.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3610, wt=169.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=2633, wt=168.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3620, wt=167.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3639, wt=166.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3651, wt=165.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3440, wt=164.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=4065, wt=163.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=4063, wt=162.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3913, wt=161.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3926, wt=160.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3658, wt=159.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=4077, wt=158.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3652, wt=157.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3218, wt=156.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3800, wt=155.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=4072, wt=154.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3625, wt=153.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3441, wt=152.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3763, wt=151.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3917, wt=150.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=2840, wt=149.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=4070, wt=148.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3599, wt=147.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3919, wt=146.000
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% 2.48/2.76 Low Water (displace): id=4056, wt=145.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3795, wt=144.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3601, wt=143.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3928, wt=142.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3801, wt=141.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3398, wt=140.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3635, wt=139.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=4073, wt=138.000
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% 2.48/2.76 Low Water (displace): id=3804, wt=137.000
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% 2.48/2.76 Low Water (displace): id=3562, wt=136.000
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% 2.48/2.76 Low Water (displace): id=3789, wt=135.000
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% 2.48/2.76 Low Water (displace): id=4078, wt=134.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=4088, wt=133.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=3236, wt=132.000
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% 2.48/2.76 Low Water (displace): id=3608, wt=131.000
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% 2.48/2.76 Low Water (displace): id=4064, wt=130.000
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% 2.48/2.76 Low Water (displace): id=4154, wt=129.000
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% 2.48/2.76 Low Water (displace): id=3929, wt=128.000
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% 2.48/2.76 Low Water (displace): id=10979, wt=125.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=9205, wt=124.000
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% 2.48/2.76 Low Water (displace): id=10070, wt=122.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=8613, wt=121.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=12365, wt=119.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=11022, wt=117.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=9489, wt=116.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=9180, wt=115.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=10980, wt=114.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=9206, wt=113.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=12224, wt=111.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=8615, wt=110.000
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% 2.48/2.76 Low Water (displace): id=3672, wt=109.000
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% 2.48/2.76 Low Water (displace): id=12453, wt=108.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=9209, wt=107.000
% 2.48/2.76
% 2.48/2.76 Low Water (displace): id=10981, wt=106.000
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% 2.48/2.76 Low Water (displace): id=10074, wt=105.000
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% 2.48/2.76 Low Water (displace): id=8620, wt=104.000
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% 2.48/2.76 Low Water (displace): id=10072, wt=103.000
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% 2.48/2.76 Low Water (displace): id=12491, wt=102.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=11023, wt=101.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12526, wt=100.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=9181, wt=99.000
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% 40.51/40.76 Low Water (displace): id=11024, wt=98.000
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% 40.51/40.76 Low Water (displace): id=9491, wt=97.000
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% 40.51/40.76 Low Water (displace): id=10985, wt=96.000
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% 40.51/40.76 Low Water (displace): id=12225, wt=95.000
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% 40.51/40.76 Low Water (displace): id=4955, wt=94.000
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% 40.51/40.76 Low Water (displace): id=10076, wt=93.000
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% 40.51/40.76 Low Water (displace): id=12226, wt=92.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=9210, wt=91.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12607, wt=90.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=10986, wt=89.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=9212, wt=88.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=10988, wt=87.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12606, wt=86.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=8625, wt=85.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=10079, wt=84.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12608, wt=83.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=11027, wt=82.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12610, wt=81.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=10078, wt=80.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=10104, wt=79.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=11028, wt=78.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12609, wt=77.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12863, wt=76.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=10105, wt=75.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=11029, wt=74.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=11030, wt=73.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12864, wt=72.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=10106, wt=71.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=10107, wt=70.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=11031, wt=69.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12865, wt=68.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12866, wt=67.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12614, wt=66.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=11032, wt=65.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=9499, wt=64.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12867, wt=63.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12604, wt=62.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=8596, wt=61.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=10994, wt=60.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12868, wt=59.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=11019, wt=58.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=10085, wt=57.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=11026, wt=56.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=11016, wt=55.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12615, wt=54.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12870, wt=53.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12855, wt=52.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=8632, wt=51.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=13785, wt=50.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12849, wt=49.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=3676, wt=48.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12593, wt=47.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=11017, wt=46.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=11033, wt=45.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=10113, wt=44.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=11018, wt=43.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=10110, wt=42.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12871, wt=41.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12850, wt=40.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=12869, wt=39.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=14134, wt=38.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=14287, wt=37.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=14217, wt=36.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=13239, wt=35.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=14478, wt=34.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=15123, wt=33.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=15851, wt=32.000
% 40.51/40.76
% 40.51/40.76 Low Water (displace): id=23953, wt=10.000
% 40.51/40.76
% 40.51/40.76 ============================== PROOF =================================
% 40.51/40.76 % SZS status Unsatisfiable
% 40.51/40.76 % SZS output start Refutation
% 40.51/40.76
% 40.51/40.76 % Proof 1 at 38.22 (+ 1.41) seconds.
% 40.51/40.76 % Length of proof is 12.
% 40.51/40.76 % Level of proof is 3.
% 40.51/40.76 % Maximum clause weight is 57.000.
% 40.51/40.76 % Given clauses 14380.
% 40.51/40.76
% 40.51/40.76 331 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)) = B # label(cls_Un__empty__left_0) # label(axiom). [assumption].
% 40.51/40.76 414 c_lessequals(A,A,tc_fun(B,tc_bool)) # label(cls_equalityE_0) # label(axiom). [assumption].
% 40.51/40.76 518 c_Hoare__Mirabelle_Ohoare__derivs(A,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),B,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) | -c_Finite__Set_Ofinite(B,tc_Com_Opname) | -c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),B,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),B,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) # label(cls_MGT__Body_0) # label(axiom). [assumption].
% 40.51/40.76 527 c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname) # label(cls_finite__dom__body_0) # label(axiom). [assumption].
% 40.51/40.76 532 c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),A,tc_Com_Ostate) | -c_lessequals(A,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)) | -c_Com_OWT__bodies | -c_Hoare__Mirabelle_Ostate__not__singleton # label(cls_MGF__lemma2__simult_0) # label(axiom). [assumption].
% 40.51/40.76 551 c_Hoare__Mirabelle_Ostate__not__singleton # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 40.51/40.76 552 c_Com_OWT__bodies # label(cls_conjecture_1) # label(negated_conjecture). [assumption].
% 40.51/40.76 556 -c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) # label(cls_conjecture_4) # label(negated_conjecture). [assumption].
% 40.51/40.76 701 c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),A,tc_Com_Ostate) | -c_lessequals(A,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)). [back_unit_del(532),unit_del(c,552),unit_del(d,551)].
% 40.51/40.76 1955 c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),A,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) | -c_Finite__Set_Ofinite(A,tc_Com_Opname) | -c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),A,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),A,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate). [para(331(a,1),518(c,1))].
% 40.51/40.76 2423 c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate). [resolve(701,b,414,a)].
% 40.51/40.76 31675 $F. [resolve(2423,a,1955,c),unit_del(a,556),unit_del(b,527)].
% 40.51/40.76
% 40.51/40.76 % SZS output end Refutation
% 40.51/40.76 ============================== end of proof ==========================
% 40.51/40.76
% 40.51/40.76 ============================== STATISTICS ============================
% 40.51/40.76
% 40.51/40.76 Given=14380. Generated=2468230. Kept=31507. proofs=1.
% 40.51/40.76 Usable=14363. Sos=9008. Demods=774. Limbo=0, Disabled=8778. Hints=0.
% 40.51/40.76 Megabytes=37.74.
% 40.51/40.76 User_CPU=38.22, System_CPU=1.41, Wall_clock=40.
% 40.51/40.76
% 40.51/40.76 ============================== end of statistics =====================
% 40.51/40.76
% 40.51/40.76 ============================== end of search =========================
% 40.51/40.76
% 40.51/40.76 THEOREM PROVED
% 40.51/40.76 % SZS status Unsatisfiable
% 40.51/40.76
% 40.51/40.76 Exiting with 1 proof.
% 40.51/40.76
% 40.51/40.76 Process 24111 exit (max_proofs) Wed Jun 15 06:07:05 2022
% 40.51/40.76 Prover9 interrupted
%------------------------------------------------------------------------------