TSTP Solution File: SWV995-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV995-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n012.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 21:15:29 EDT 2022
% Result : Unsatisfiable 2.34s 2.67s
% Output : Refutation 2.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.08 % Problem : SWV995-1 : TPTP v8.1.0. Released v4.1.0.
% 0.01/0.09 % Command : tptp2X_and_run_prover9 %d %s
% 0.08/0.28 % Computer : n012.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 600
% 0.08/0.29 % DateTime : Tue Jun 14 19:18:25 EDT 2022
% 0.08/0.29 % CPUTime :
% 1.96/2.30 ============================== Prover9 ===============================
% 1.96/2.30 Prover9 (32) version 2009-11A, November 2009.
% 1.96/2.30 Process 3303 was started by sandbox on n012.cluster.edu,
% 1.96/2.30 Tue Jun 14 19:18:26 2022
% 1.96/2.30 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_3150_n012.cluster.edu".
% 1.96/2.30 ============================== end of head ===========================
% 1.96/2.30
% 1.96/2.30 ============================== INPUT =================================
% 1.96/2.30
% 1.96/2.30 % Reading from file /tmp/Prover9_3150_n012.cluster.edu
% 1.96/2.30
% 1.96/2.30 set(prolog_style_variables).
% 1.96/2.30 set(auto2).
% 1.96/2.30 % set(auto2) -> set(auto).
% 1.96/2.30 % set(auto) -> set(auto_inference).
% 1.96/2.30 % set(auto) -> set(auto_setup).
% 1.96/2.30 % set(auto_setup) -> set(predicate_elim).
% 1.96/2.30 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.96/2.30 % set(auto) -> set(auto_limits).
% 1.96/2.30 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.96/2.30 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.96/2.30 % set(auto) -> set(auto_denials).
% 1.96/2.30 % set(auto) -> set(auto_process).
% 1.96/2.30 % set(auto2) -> assign(new_constants, 1).
% 1.96/2.30 % set(auto2) -> assign(fold_denial_max, 3).
% 1.96/2.30 % set(auto2) -> assign(max_weight, "200.000").
% 1.96/2.30 % set(auto2) -> assign(max_hours, 1).
% 1.96/2.30 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.96/2.30 % set(auto2) -> assign(max_seconds, 0).
% 1.96/2.30 % set(auto2) -> assign(max_minutes, 5).
% 1.96/2.30 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.96/2.30 % set(auto2) -> set(sort_initial_sos).
% 1.96/2.30 % set(auto2) -> assign(sos_limit, -1).
% 1.96/2.30 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.96/2.30 % set(auto2) -> assign(max_megs, 400).
% 1.96/2.30 % set(auto2) -> assign(stats, some).
% 1.96/2.30 % set(auto2) -> clear(echo_input).
% 1.96/2.30 % set(auto2) -> set(quiet).
% 1.96/2.30 % set(auto2) -> clear(print_initial_clauses).
% 1.96/2.30 % set(auto2) -> clear(print_given).
% 1.96/2.30 assign(lrs_ticks,-1).
% 1.96/2.30 assign(sos_limit,10000).
% 1.96/2.30 assign(order,kbo).
% 1.96/2.30 set(lex_order_vars).
% 1.96/2.30 clear(print_given).
% 1.96/2.30
% 1.96/2.30 % formulas(sos). % not echoed (524 formulas)
% 1.96/2.30
% 1.96/2.30 ============================== end of input ==========================
% 1.96/2.30
% 1.96/2.30 % From the command line: assign(max_seconds, 300).
% 1.96/2.30
% 1.96/2.30 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.96/2.30
% 1.96/2.30 % Formulas that are not ordinary clauses:
% 1.96/2.30
% 1.96/2.30 ============================== end of process non-clausal formulas ===
% 1.96/2.30
% 1.96/2.30 ============================== PROCESS INITIAL CLAUSES ===============
% 1.96/2.30
% 1.96/2.30 ============================== PREDICATE ELIMINATION =================
% 1.96/2.30 1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 1.96/2.30 2 -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].
% 1.96/2.30 3 -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].
% 1.96/2.30 4 -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].
% 1.96/2.30 5 -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].
% 1.96/2.30 6 -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].
% 1.96/2.30 7 -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].
% 1.96/2.30 8 -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].
% 1.96/2.30 9 -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].
% 1.96/2.30 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].
% 1.96/2.30 11 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 1.96/2.30 12 -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].
% 1.96/2.30 13 -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].
% 1.96/2.30 14 -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].
% 1.96/2.30 15 -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].
% 1.96/2.30 16 -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].
% 1.96/2.30 17 -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].
% 1.96/2.30 18 -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].
% 1.96/2.30 19 -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].
% 1.96/2.30 20 -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].
% 1.96/2.30 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,2,a)].
% 1.96/2.30 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,3,a)].
% 1.96/2.30 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,4,a)].
% 1.96/2.30 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,5,a)].
% 1.96/2.30 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,8,a)].
% 1.96/2.30 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,9,a)].
% 1.96/2.30 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)].
% 1.96/2.30 Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B. [resolve(1,a,11,a)].
% 1.96/2.30 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,12,a)].
% 1.96/2.30 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,13,a)].
% 2.05/2.31 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,14,a)].
% 2.05/2.31 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,15,a)].
% 2.05/2.31 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,16,a)].
% 2.05/2.31 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,19,a)].
% 2.05/2.31 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,20,a)].
% 2.05/2.31 21 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 2.05/2.31 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,2,a)].
% 2.05/2.31 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,3,a)].
% 2.05/2.31 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,4,a)].
% 2.05/2.31 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,5,a)].
% 2.05/2.31 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat). [resolve(21,a,8,a)].
% 2.05/2.31 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat). [resolve(21,a,9,a)].
% 2.05/2.31 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat). [resolve(21,a,10,a)].
% 2.05/2.31 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A. [resolve(21,a,11,a)].
% 2.05/2.31 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,12,a)].
% 2.05/2.31 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,13,a)].
% 2.05/2.31 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,14,a)].
% 2.05/2.31 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat). [resolve(21,a,15,a)].
% 2.05/2.31 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat). [resolve(21,a,16,a)].
% 2.05/2.31 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat). [resolve(21,a,19,a)].
% 2.05/2.31 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,20,a)].
% 2.05/2.31 22 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 2.05/2.31 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,2,a)].
% 2.05/2.31 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,3,a)].
% 2.05/2.31 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,4,a)].
% 2.05/2.31 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,5,a)].
% 2.13/2.44 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool). [resolve(22,a,8,a)].
% 2.13/2.44 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool). [resolve(22,a,9,a)].
% 2.13/2.44 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool). [resolve(22,a,10,a)].
% 2.13/2.44 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A. [resolve(22,a,11,a)].
% 2.13/2.44 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,12,a)].
% 2.13/2.44 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,13,a)].
% 2.13/2.44 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,14,a)].
% 2.13/2.44 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool). [resolve(22,a,15,a)].
% 2.13/2.44 Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool). [resolve(22,a,16,a)].
% 2.13/2.44 Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool). [resolve(22,a,19,a)].
% 2.13/2.44 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,20,a)].
% 2.13/2.44 23 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 2.13/2.44 24 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 2.13/2.44 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(23,a,24,a)].
% 2.13/2.44 25 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom). [assumption].
% 2.13/2.44 26 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom). [assumption].
% 2.13/2.44 Derived: A = A. [resolve(25,b,26,a)].
% 2.13/2.44
% 2.13/2.44 ============================== end predicate elimination =============
% 2.13/2.44
% 2.13/2.44 Auto_denials: (non-Horn, no changes).
% 2.13/2.44
% 2.13/2.44 Term ordering decisions:
% 2.13/2.44 Function symbol KB weights: tc_String_Ochar=1. tc_Value_Oval=1. tc_nat=1. tc_bool=1. t_a=1. c_JWellForm_Owf__J__mdecl=1. c_WWellForm_Owwf__J__mdecl=1. v_P=1. v_E=1. v_e=1. v_s=1. v_T=1. v_e_H=1. v_s_H=1. v_T_H=1. tc_prod=1. tc_fun=1. c_Transitive__Closure_Ortrancl=1. c_Expr_Oexp_Othrow=1. hAPP=1. c_Transitive__Closure_Otrancl=1. c_Expr_Oexp_OVal=1. c_Wellfounded_Oacc=1. c_Option_Ooption_OSome=1. v_sko__Wellfounded__Xacc__Xinduct__1=1. v_sko__Wellfounded__Xacc__Xinducts__1=1. tc_List_Olist=1. tc_Option_Ooption=1. tc_Expr_Oexp=1. c_SmallStep_Ored=1. c_Expr_Ofv=1. c_State_Ohp=1. c_State_Olcl=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Map_Odom=1. c_Relation_Oconverse=1. c_Expr_Oexp_OSeq=1. c_Expr_Oexp_OCast=1. c_Expr_Oexp_OLAss=1. c_Relation_ODomain=1. c_Relation_ORange=1. c_Expr_Oexp_OWhile=1. c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1=1. c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1=1. c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1=1. c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1=1. v_sko__Transitive__Closure__Xrtrancl__Xcases__1=1. v_sko__TypeSafe__Mirabelle__XProgress__1=1. v_sko__TypeSafe__Mirabelle__XProgress__2=1. c_Pair=1. c_Expr_Oexp_OBinOp=1. c_Expr_Oexp_OFAcc=1. c_Expr_Oexp_OCond=1. c_Map_Omap__add=1. c_Expr_Oexp_OCall=1. c_Product__Type_OSigma=1. c_Wellfounded_Olex__prod=1. c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2=1. c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1=1. c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1=1. c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1=1. c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1=1. c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2=1. c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1=1. c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1=1. c_ATP__Linkup_Osko__Relation__XDomainE__1__1=1. c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1=1. c_ATP__Linkup_Osko__Relation__XRangeE__1__1=1. c_ATP__Linkup_Osko__Relation__XRange__iff__1__1=1. c_Map_Osko__Map__XdomD__1__1=1. c_Progress_Osko__Progress__Xprogress__1__1=1. c_Progress_Osko__Progress__Xprogress__1__2=1. c_Recdef_Osame__fst=1. c_Expr_Oexp_OFAss=1. c_Expr_Oexp_OTryCatch=1. v_sko__TypeSafe__Mirabelle__XRed__preserves__type__1=1. v_sko__TypeSafe__Mirabelle__XSubject__reduction__1=1. v_sko__TypeSafe__Mirabelle__XSubject__reductions__1=1. v_sko__TypeSafe__Mirabelle__Xeval__preserves__type__1=1. v_sko__TypeSafe__Mirabelle__Xsubject__reduction2__1=1. v_sko__TypeSafe__Mirabelle__Xsubject__reduction__1=1.
% 2.34/2.67
% 2.34/2.67 ============================== end of process initial clauses ========
% 2.34/2.67
% 2.34/2.67 ============================== CLAUSES FOR SEARCH ====================
% 2.34/2.67
% 2.34/2.67 ============================== end of clauses for search =============
% 2.34/2.67
% 2.34/2.67 ============================== SEARCH ================================
% 2.34/2.67
% 2.34/2.67 % Starting search at 0.26 seconds.
% 2.34/2.67
% 2.34/2.67 ============================== PROOF =================================
% 2.34/2.67 % SZS status Unsatisfiable
% 2.34/2.67 % SZS output start Refutation
% 2.34/2.67
% 2.34/2.67 % Proof 1 at 0.50 (+ 0.01) seconds.
% 2.34/2.67 % Length of proof is 7.
% 2.34/2.67 % Level of proof is 1.
% 2.34/2.67 % Maximum clause weight is 194.000.
% 2.34/2.67 % Given clauses 389.
% 2.34/2.67
% 2.34/2.67 472 c_in(c_Pair(c_Pair(A,B,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(v_sko__TypeSafe__Mirabelle__XProgress__1(C,A,B),v_sko__TypeSafe__Mirabelle__XProgress__2(C,A,B),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(C),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) | c_BigStep_Ofinal(A,tc_List_Olist(tc_String_Ochar)) | -c_DefAss_O_092_060D_062(A,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(B),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar)) | -c_TypeSafe__Mirabelle_Owf__config(C,D,B,A,E) | -c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,C,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) # label(cls_Progress_0) # label(axiom). [assumption].
% 2.34/2.68 495 c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 2.34/2.68 500 -c_in(c_Pair(c_Pair(v_e_H,v_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(A,B,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(v_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) # label(cls_conjecture_5) # label(negated_conjecture). [assumption].
% 2.34/2.68 502 c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s_H,v_e_H,v_T_H) # label(cls_conjecture_7) # label(negated_conjecture). [assumption].
% 2.34/2.68 504 c_DefAss_O_092_060D_062(v_e_H,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(v_s_H),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar)) # label(cls_conjecture_9) # label(negated_conjecture). [assumption].
% 2.34/2.68 505 -c_BigStep_Ofinal(v_e_H,tc_List_Olist(tc_String_Ochar)) # label(cls_conjecture_10) # label(negated_conjecture). [assumption].
% 2.34/2.68 1238 $F. [resolve(502,a,472,d),unit_del(a,500),unit_del(b,505),unit_del(c,504),unit_del(d,495)].
% 2.34/2.68
% 2.34/2.68 % SZS output end Refutation
% 2.34/2.68 ============================== end of proof ==========================
% 2.34/2.68
% 2.34/2.68 ============================== STATISTICS ============================
% 2.34/2.68
% 2.34/2.68 Given=389. Generated=1934. Kept=1129. proofs=1.
% 2.34/2.68 Usable=389. Sos=720. Demods=54. Limbo=3, Disabled=588. Hints=0.
% 2.34/2.68 Megabytes=7.12.
% 2.34/2.68 User_CPU=0.50, System_CPU=0.01, Wall_clock=1.
% 2.34/2.68
% 2.34/2.68 ============================== end of statistics =====================
% 2.34/2.68
% 2.34/2.68 ============================== end of search =========================
% 2.34/2.68
% 2.34/2.68 THEOREM PROVED
% 2.34/2.68 % SZS status Unsatisfiable
% 2.34/2.68
% 2.34/2.68 Exiting with 1 proof.
% 2.34/2.68
% 2.34/2.68 Process 3303 exit (max_proofs) Tue Jun 14 19:18:27 2022
% 2.34/2.68 Prover9 interrupted
%------------------------------------------------------------------------------