TSTP Solution File: SCT026-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SCT026-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n006.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 : Mon Jul 18 22:03:30 EDT 2022
% Result : Unsatisfiable 1.53s 1.80s
% Output : Refutation 1.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT026-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 2 05:13:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.91/1.23 ============================== Prover9 ===============================
% 0.91/1.23 Prover9 (32) version 2009-11A, November 2009.
% 0.91/1.23 Process 31940 was started by sandbox on n006.cluster.edu,
% 0.91/1.23 Sat Jul 2 05:13:53 2022
% 0.91/1.23 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_31787_n006.cluster.edu".
% 0.91/1.23 ============================== end of head ===========================
% 0.91/1.23
% 0.91/1.23 ============================== INPUT =================================
% 0.91/1.23
% 0.91/1.23 % Reading from file /tmp/Prover9_31787_n006.cluster.edu
% 0.91/1.23
% 0.91/1.23 set(prolog_style_variables).
% 0.91/1.23 set(auto2).
% 0.91/1.23 % set(auto2) -> set(auto).
% 0.91/1.23 % set(auto) -> set(auto_inference).
% 0.91/1.23 % set(auto) -> set(auto_setup).
% 0.91/1.23 % set(auto_setup) -> set(predicate_elim).
% 0.91/1.23 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.91/1.23 % set(auto) -> set(auto_limits).
% 0.91/1.23 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.91/1.23 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.91/1.23 % set(auto) -> set(auto_denials).
% 0.91/1.23 % set(auto) -> set(auto_process).
% 0.91/1.23 % set(auto2) -> assign(new_constants, 1).
% 0.91/1.23 % set(auto2) -> assign(fold_denial_max, 3).
% 0.91/1.23 % set(auto2) -> assign(max_weight, "200.000").
% 0.91/1.23 % set(auto2) -> assign(max_hours, 1).
% 0.91/1.23 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.91/1.23 % set(auto2) -> assign(max_seconds, 0).
% 0.91/1.23 % set(auto2) -> assign(max_minutes, 5).
% 0.91/1.23 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.91/1.23 % set(auto2) -> set(sort_initial_sos).
% 0.91/1.23 % set(auto2) -> assign(sos_limit, -1).
% 0.91/1.23 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.91/1.23 % set(auto2) -> assign(max_megs, 400).
% 0.91/1.23 % set(auto2) -> assign(stats, some).
% 0.91/1.23 % set(auto2) -> clear(echo_input).
% 0.91/1.23 % set(auto2) -> set(quiet).
% 0.91/1.23 % set(auto2) -> clear(print_initial_clauses).
% 0.91/1.23 % set(auto2) -> clear(print_given).
% 0.91/1.23 assign(lrs_ticks,-1).
% 0.91/1.23 assign(sos_limit,10000).
% 0.91/1.23 assign(order,kbo).
% 0.91/1.23 set(lex_order_vars).
% 0.91/1.23 clear(print_given).
% 0.91/1.23
% 0.91/1.23 % formulas(sos). % not echoed (532 formulas)
% 0.91/1.23
% 0.91/1.23 ============================== end of input ==========================
% 0.91/1.23
% 0.91/1.23 % From the command line: assign(max_seconds, 300).
% 0.91/1.23
% 0.91/1.23 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.91/1.23
% 0.91/1.23 % Formulas that are not ordinary clauses:
% 0.91/1.23
% 0.91/1.23 ============================== end of process non-clausal formulas ===
% 0.91/1.23
% 0.91/1.23 ============================== PROCESS INITIAL CLAUSES ===============
% 0.91/1.23
% 0.91/1.23 ============================== PREDICATE ELIMINATION =================
% 0.91/1.23 1 c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B) != A | c_Equiv__Relations_Oequiv(c_Relation_ODomain(A,B,B),A,B) # label(cls_comp__equivI_0) # label(axiom). [assumption].
% 0.91/1.23 2 c_in(A,c_Relation_OImage(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),C) | -c_in(A,D,C) | -c_Equiv__Relations_Oequiv(D,B,C) # label(cls_equiv__class__self_0) # label(axiom). [assumption].
% 0.91/1.23 3 c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)) | A = B | -c_in(B,c_Equiv__Relations_Oquotient(D,E,C),tc_fun(C,tc_bool)) | -c_in(A,c_Equiv__Relations_Oquotient(D,E,C),tc_fun(C,tc_bool)) | -c_Equiv__Relations_Oequiv(D,E,C) # label(cls_quotient__disj_0) # label(axiom). [assumption].
% 0.91/1.23 4 c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C) = c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C) | -c_in(c_Pair(B,D,C,C),A,tc_prod(C,C)) | -c_Equiv__Relations_Oequiv(E,A,C) # label(cls_equiv__class__eq_0) # label(axiom). [assumption].
% 0.91/1.23 5 c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C) = c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C) | -c_in(c_Pair(B,D,C,C),A,tc_prod(C,C)) | -c_Equiv__Relations_Oequiv(E,A,C) # label(cls_equiv__class__eq__iff_0) # label(axiom). [assumption].
% 0.91/1.23 6 c_in(c_Pair(A,B,C,C),D,tc_prod(C,C)) | -c_in(E,c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(D,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),c_Relation_OImage(D,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),tc_fun(C,tc_bool)),C) | -c_Equiv__Relations_Oequiv(F,D,C) # label(cls_equiv__class__nondisjoint_0) # label(axiom). [assumption].
% 0.91/1.23 7 c_in(c_Pair(A,B,C,C),D,tc_prod(C,C)) | -c_in(B,E,C) | -c_lessequals(c_Relation_OImage(D,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),c_Relation_OImage(D,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),tc_fun(C,tc_bool)) | -c_Equiv__Relations_Oequiv(E,D,C) # label(cls_subset__equiv__class_0) # label(axiom). [assumption].
% 0.91/1.23 8 c_Equiv__Relations_Oquotient(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C,B) = c_Equiv__Relations_Oquotient(c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C,B) | -c_in(c_Pair(A,D,B,B),C,tc_prod(B,B)) | -c_in(D,E,B) | -c_in(A,E,B) | -c_Equiv__Relations_Oequiv(E,C,B) # label(cls_eq__equiv__class__iff2_1) # label(axiom). [assumption].
% 0.91/1.23 9 c_Equiv__Relations_Oquotient(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C,B) != c_Equiv__Relations_Oquotient(c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C,B) | -c_in(D,E,B) | -c_in(A,E,B) | -c_Equiv__Relations_Oequiv(E,C,B) | c_in(c_Pair(A,D,B,B),C,tc_prod(B,B)) # label(cls_eq__equiv__class__iff2_0) # label(axiom). [assumption].
% 0.91/1.23 10 c_lessequals(c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C),tc_fun(C,tc_bool)) | -c_in(c_Pair(B,D,C,C),A,tc_prod(C,C)) | -c_Equiv__Relations_Oequiv(E,A,C) # label(cls_equiv__class__subset_0) # label(axiom). [assumption].
% 0.91/1.23 11 c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C) != c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C) | -c_in(D,E,C) | -c_in(B,E,C) | -c_Equiv__Relations_Oequiv(E,A,C) | c_in(c_Pair(B,D,C,C),A,tc_prod(C,C)) # label(cls_eq__equiv__class__iff_0) # label(axiom). [assumption].
% 0.91/1.23 12 c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C) != c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C) | c_in(c_Pair(B,D,C,C),A,tc_prod(C,C)) | -c_in(D,E,C) | -c_Equiv__Relations_Oequiv(E,A,C) # label(cls_eq__equiv__class_0) # label(axiom). [assumption].
% 0.91/1.23 13 c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C) != c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C) | -c_Equiv__Relations_Oequiv(E,A,C) | c_in(c_Pair(B,D,C,C),A,tc_prod(C,C)) | -c_in(D,E,C) | -c_in(B,E,C) # label(cls_equiv__class__eq__iff_3) # label(axiom). [assumption].
% 0.91/1.23 14 c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C) = c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C) | -c_in(c_Pair(B,D,C,C),A,tc_prod(C,C)) | -c_in(D,E,C) | -c_in(B,E,C) | -c_Equiv__Relations_Oequiv(E,A,C) # label(cls_eq__equiv__class__iff_1) # label(axiom). [assumption].
% 0.91/1.23 15 c_Relation_Otrans(A,B) | -c_Equiv__Relations_Oequiv(C,A,B) # label(cls_equiv_Otrans_0) # label(axiom). [assumption].
% 0.91/1.23 16 c_lessequals(A,c_Product__Type_OSigma(B,c_COMBK(B,tc_fun(C,tc_bool),C),C,C),tc_fun(tc_prod(C,C),tc_bool)) | -c_Equiv__Relations_Oequiv(B,A,C) # label(cls_equiv__type_0) # label(axiom). [assumption].
% 0.91/1.23 17 c_Equiv__Relations_Ocongruent(A,hAPP(B,C),D,E) | -c_in(C,F,V6) | -c_Equiv__Relations_Ocongruent2(V7,A,B,V6,D,E) | -c_Equiv__Relations_Oequiv(F,V7,V6) # label(cls_congruent2__implies__congruent_0) # label(axiom). [assumption].
% 0.91/1.23 Derived: c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B) != A | c_in(C,c_Relation_OImage(A,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B,B),B) | -c_in(C,c_Relation_ODomain(A,B,B),B). [resolve(1,b,2,c)].
% 0.91/1.23 Derived: c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B) != A | c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(B,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)) | C = D | -c_in(D,c_Equiv__Relations_Oquotient(c_Relation_ODomain(A,B,B),A,B),tc_fun(B,tc_bool)) | -c_in(C,c_Equiv__Relations_Oquotient(c_Relation_ODomain(A,B,B),A,B),tc_fun(B,tc_bool)). [resolve(1,b,3,e)].
% 0.91/1.24 Derived: c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B) != A | c_Relation_OImage(A,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B,B) = c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B,B) | -c_in(c_Pair(C,D,B,B),A,tc_prod(B,B)). [resolve(1,b,4,c)].
% 0.91/1.24 Derived: c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B) != A | c_in(c_Pair(C,D,B,B),A,tc_prod(B,B)) | -c_in(E,c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(A,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B,B),c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B,B),tc_fun(B,tc_bool)),B). [resolve(1,b,6,c)].
% 0.91/1.24 Derived: c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B) != A | c_in(c_Pair(C,D,B,B),A,tc_prod(B,B)) | -c_in(D,c_Relation_ODomain(A,B,B),B) | -c_lessequals(c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B,B),c_Relation_OImage(A,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B,B),tc_fun(B,tc_bool)). [resolve(1,b,7,d)].
% 0.91/1.24 Derived: c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B) != A | c_Equiv__Relations_Oquotient(c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),A,B) = c_Equiv__Relations_Oquotient(c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),A,B) | -c_in(c_Pair(C,D,B,B),A,tc_prod(B,B)) | -c_in(D,c_Relation_ODomain(A,B,B),B) | -c_in(C,c_Relation_ODomain(A,B,B),B). [resolve(1,b,8,e)].
% 0.91/1.24 Derived: c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B) != A | c_Equiv__Relations_Oquotient(c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),A,B) != c_Equiv__Relations_Oquotient(c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),A,B) | -c_in(D,c_Relation_ODomain(A,B,B),B) | -c_in(C,c_Relation_ODomain(A,B,B),B) | c_in(c_Pair(C,D,B,B),A,tc_prod(B,B)). [resolve(1,b,9,d)].
% 0.91/1.24 Derived: c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B) != A | c_lessequals(c_Relation_OImage(A,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B,B),c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B,B),tc_fun(B,tc_bool)) | -c_in(c_Pair(C,D,B,B),A,tc_prod(B,B)). [resolve(1,b,10,c)].
% 0.91/1.24 Derived: c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B) != A | c_Relation_OImage(A,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B,B) != c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B,B) | -c_in(D,c_Relation_ODomain(A,B,B),B) | -c_in(C,c_Relation_ODomain(A,B,B),B) | c_in(c_Pair(C,D,B,B),A,tc_prod(B,B)). [resolve(1,b,11,d)].
% 0.91/1.24 Derived: c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B) != A | c_Relation_OImage(A,c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B,B) != c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B,B) | c_in(c_Pair(C,D,B,B),A,tc_prod(B,B)) | -c_in(D,c_Relation_ODomain(A,B,B),B). [resolve(1,b,12,d)].
% 0.91/1.24 Derived: c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B) != A | c_Relation_Otrans(A,B). [resolve(1,b,15,b)].
% 0.91/1.24 Derived: c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B) != A | c_lessequals(A,c_Product__Type_OSigma(c_Relation_ODomain(A,B,B),c_COMBK(c_Relation_ODomain(A,B,B),tc_fun(B,tc_bool),B),B,B),tc_fun(tc_prod(B,B),tc_bool)). [resolve(1,b,16,b)].
% 0.91/1.24 Derived: c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B) != A | c_Equiv__Relations_Ocongruent(C,hAPP(D,E),F,V6) | -c_in(E,c_Relation_ODomain(A,B,B),B) | -c_Equiv__Relations_Ocongruent2(A,C,D,B,F,V6). [resolve(1,b,17,d)].
% 0.91/1.24 18 c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B) = A | -c_Equiv__Relations_Oequiv(C,A,B) # label(cls_equiv__comp__eq_0) # label(axiom). [assumption].
% 0.91/1.24 19 c_Relation_Orefl__on(A,B,C) | -c_Equiv__Relations_Oequiv(A,B,C) # label(cls_equiv_Orefl__on_0) # label(axiom). [assumption].
% 0.91/1.24 Derived: c_Relation_Orefl__on(c_Relation_ODomain(A,B,B),A,B) | c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B) != A. [resolve(19,b,1,b)].
% 0.91/1.26 20 c_Complete__Lattice_OSup__class_OSup(c_Equiv__Relations_Oquotient(A,B,C),tc_fun(C,tc_bool)) = A | -c_Equiv__Relations_Oequiv(A,B,C) # label(cls_Union__quotient_0) # label(axiom). [assumption].
% 0.91/1.26 Derived: c_Complete__Lattice_OSup__class_OSup(c_Equiv__Relations_Oquotient(c_Relation_ODomain(A,B,B),A,B),tc_fun(B,tc_bool)) = c_Relation_ODomain(A,B,B) | c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B) != A. [resolve(20,b,1,b)].
% 0.91/1.26 21 c_Relation_Osym(A,B) | -c_Equiv__Relations_Oequiv(C,A,B) # label(cls_equiv_Osym_0) # label(axiom). [assumption].
% 0.91/1.26 Derived: c_Relation_Osym(A,B) | c_Relation_Orel__comp(c_Relation_Oconverse(A,B,B),A,B,B,B) != A. [resolve(21,b,1,b)].
% 0.91/1.26 22 A = B | -c_in(c_Pair(C,D,E,E),F,tc_prod(E,E)) | -c_in(D,B,E) | -c_in(C,A,E) | -c_in(B,c_Equiv__Relations_Oquotient(V6,F,E),tc_fun(E,tc_bool)) | -c_in(A,c_Equiv__Relations_Oquotient(V6,F,E),tc_fun(E,tc_bool)) | -c_Equiv__Relations_Oequiv(V6,F,E) # label(cls_quotient__eqI_0) # label(axiom). [assumption].
% 0.91/1.26 Derived: A = B | -c_in(c_Pair(C,D,E,E),F,tc_prod(E,E)) | -c_in(D,B,E) | -c_in(C,A,E) | -c_in(B,c_Equiv__Relations_Oquotient(c_Relation_ODomain(F,E,E),F,E),tc_fun(E,tc_bool)) | -c_in(A,c_Equiv__Relations_Oquotient(c_Relation_ODomain(F,E,E),F,E),tc_fun(E,tc_bool)) | c_Relation_Orel__comp(c_Relation_Oconverse(F,E,E),F,E,E,E) != F. [resolve(22,g,1,b)].
% 0.91/1.26 23 -c_in(A,B,C) | -c_in(D,B,C) | -c_in(B,c_Equiv__Relations_Oquotient(E,F,C),tc_fun(C,tc_bool)) | -c_in(B,c_Equiv__Relations_Oquotient(E,F,C),tc_fun(C,tc_bool)) | -c_Equiv__Relations_Oequiv(E,F,C) | c_in(c_Pair(D,A,C,C),F,tc_prod(C,C)) # label(cls_quotient__eq__iff_0) # label(axiom). [assumption].
% 0.91/1.26 Derived: -c_in(A,B,C) | -c_in(D,B,C) | -c_in(B,c_Equiv__Relations_Oquotient(c_Relation_ODomain(E,C,C),E,C),tc_fun(C,tc_bool)) | -c_in(B,c_Equiv__Relations_Oquotient(c_Relation_ODomain(E,C,C),E,C),tc_fun(C,tc_bool)) | c_in(c_Pair(D,A,C,C),E,tc_prod(C,C)) | c_Relation_Orel__comp(c_Relation_Oconverse(E,C,C),E,C,C,C) != E. [resolve(23,e,1,b)].
% 0.91/1.26 24 c_in(A,B,C) | -c_in(c_Pair(D,A,C,C),E,tc_prod(C,C)) | -c_Equiv__Relations_Oequiv(B,E,C) # label(cls_equiv__class__eq__iff_2) # label(axiom). [assumption].
% 0.91/1.26 Derived: c_in(A,c_Relation_ODomain(B,C,C),C) | -c_in(c_Pair(D,A,C,C),B,tc_prod(C,C)) | c_Relation_Orel__comp(c_Relation_Oconverse(B,C,C),B,C,C,C) != B. [resolve(24,c,1,b)].
% 0.91/1.26 25 c_in(A,B,C) | -c_in(c_Pair(A,D,C,C),E,tc_prod(C,C)) | -c_Equiv__Relations_Oequiv(B,E,C) # label(cls_equiv__class__eq__iff_1) # label(axiom). [assumption].
% 0.91/1.26 26 class_Lattices_Olower__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 0.91/1.26 27 -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].
% 0.91/1.26 28 -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].
% 0.91/1.26 29 -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].
% 0.91/1.26 30 -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].
% 0.91/1.26 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].
% 0.91/1.26 32 -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].
% 0.91/1.26 33 -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].
% 0.91/1.26 34 -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].
% 0.91/1.26 35 -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].
% 0.91/1.26 36 -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].
% 0.91/1.26 37 -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].
% 0.91/1.26 38 -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].
% 0.91/1.26 39 -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].
% 0.91/1.26 40 -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].
% 0.91/1.26 41 -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].
% 0.91/1.26 42 -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].
% 0.91/1.26 43 -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].
% 0.91/1.26 44 -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].
% 0.91/1.26 45 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,B,A) = B # label(cls_inf__idem_0) # label(axiom). [assumption].
% 0.91/1.26 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(26,a,27,a)].
% 0.91/1.26 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(26,a,28,a)].
% 0.91/1.26 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(26,a,29,a)].
% 0.91/1.26 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(26,a,30,a)].
% 0.91/1.26 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(26,a,33,a)].
% 0.91/1.26 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(26,a,34,a)].
% 0.91/1.26 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(26,a,35,a)].
% 0.91/1.26 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(26,a,36,a)].
% 0.91/1.26 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(26,a,37,a)].
% 0.91/1.31 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(26,a,38,a)].
% 0.91/1.31 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(26,a,39,a)].
% 0.91/1.31 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(26,a,42,a)].
% 0.91/1.31 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(26,a,43,a)].
% 0.91/1.31 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(26,a,44,a)].
% 0.91/1.31 Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,B,tc_fun(C,A)) = B. [resolve(26,a,45,a)].
% 0.91/1.31 46 class_Lattices_Olower__semilattice(tc_bool) # label(clsarity_bool__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 0.91/1.31 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(C,B,tc_bool),tc_bool). [resolve(46,a,27,a)].
% 0.91/1.31 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_bool),tc_bool). [resolve(46,a,28,a)].
% 0.91/1.31 Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),C,tc_bool) | -c_lessequals(B,C,tc_bool). [resolve(46,a,29,a)].
% 0.91/1.31 Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),C,tc_bool) | -c_lessequals(A,C,tc_bool). [resolve(46,a,30,a)].
% 0.91/1.31 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool) = c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_bool). [resolve(46,a,33,a)].
% 0.91/1.31 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool) = B | -c_lessequals(B,A,tc_bool). [resolve(46,a,34,a)].
% 0.91/1.31 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool) != A | c_lessequals(A,B,tc_bool). [resolve(46,a,35,a)].
% 0.91/1.31 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool) = A | -c_lessequals(A,B,tc_bool). [resolve(46,a,36,a)].
% 0.91/1.31 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(46,a,37,a)].
% 0.91/1.31 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(46,a,38,a)].
% 0.91/1.31 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(46,a,39,a)].
% 0.91/1.31 Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),B,tc_bool). [resolve(46,a,42,a)].
% 0.91/1.31 Derived: c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),A,tc_bool). [resolve(46,a,43,a)].
% 0.91/1.31 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(46,a,44,a)].
% 0.91/1.31 Derived: c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_bool) = A. [resolve(46,a,45,a)].
% 0.91/1.31 47 c_in(c_Pair(A,A,B,B),C,tc_prod(B,B)) | -c_Nitpick_Orefl_H(C,B) # label(cls_Nitpick_Orefl_H__def_0) # label(axiom). [assumption].
% 0.91/1.31 48 c_Nitpick_Orefl_H(A,B) | -c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(A,B),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(A,B),B,B),A,tc_prod(B,B)) # label(cls_Nitpick_Orefl_H__def_1) # label(axiom). [assumption].
% 1.53/1.80 Derived: c_in(c_Pair(A,A,B,B),C,tc_prod(B,B)) | -c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(C,B),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(C,B),B,B),C,tc_prod(B,B)). [resolve(47,b,48,a)].
% 1.53/1.80 49 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom). [assumption].
% 1.53/1.80 50 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom). [assumption].
% 1.53/1.80 Derived: A = A. [resolve(49,b,50,a)].
% 1.53/1.80
% 1.53/1.80 ============================== end predicate elimination =============
% 1.53/1.80
% 1.53/1.80 Auto_denials: (non-Horn, no changes).
% 1.53/1.80
% 1.53/1.80 Term ordering decisions:
% 1.53/1.80 Function symbol KB weights: tc_bool=1. tc_Arrow__Order__Mirabelle_Oalt=1. c_Arrow__Order__Mirabelle_OLin=1. t_a=1. t_b=1. v_r=1. v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1=1. v_a=1. v_b=1. tc_fun=1. tc_prod=1. hAPP=1. c_Transitive__Closure_Ortrancl=1. c_Transitive__Closure_Otrancl=1. c_Wellfounded_Oacc=1. c_Relation_OId__on=1. c_Complete__Lattice_OInf__class_OInf=1. c_Relation_OField=1. c_Complete__Lattice_OSup__class_OSup=1. c_Arrow__Order__Mirabelle_Omkbot=1. c_Arrow__Order__Mirabelle_Omktop=1. v_sko__Wellfounded__Xacc__Xinduct__1=1. v_sko__Wellfounded__Xacc__Xinducts__1=1. c_ATP__Linkup_Osko__Relation__XIdE__1__1=1. c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1=1. c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1=1. c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1=1. c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1=1. c_Orderings_Obot__class_Obot=1. c_Relation_OId=1. c_Lattices_Olower__semilattice__class_Oinf=1. c_Set_Oinsert=1. c_Relation_Oconverse=1. c_Relation_ODomain=1. c_COMBK=1. c_Relation_ORange=1. c_Arrow__Order__Mirabelle_Oabove=1. c_Arrow__Order__Mirabelle_Obelow=1. c_Equiv__Relations_Oquotient=1. c_ATP__Linkup_Osko__Relation__XId__onE__1__1=1. c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1=1. c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1=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__Complete__Lattice__XInterI__1__1=1. c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1=1. c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1=1. c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1=1. c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1=1. c_Pair=1. c_Product__Type_OSigma=1. c_Relation_OImage=1. c_Set_Oimage=1. c_FuncSet_OPi=1. c_Relation_Oinv__image=1. c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1=1. c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1=1. c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1=1. c_List_Osko__Equiv__Relations__XquotientE__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_Relation_Orel__comp=1. c_Recdef_Ocut=1. c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1=1. c_FuncSet_Osko__FuncSet__XPi__I_H__1__1=1. c_FuncSet_Osko__FuncSet__XPi__I__1__1=1. c_ATP__Linkup_Osko__Relation__XImageE__1__1=1. c_ATP__Linkup_Osko__Relation__XImage__iff__1__1=1. c_FuncSet_Osko__FuncSet__XfuncsetI__1__1=1. c_List_Osko__Recdef__Xcuts__eq__1__1=1. c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1=1.
% 1.53/1.80
% 1.53/1.80 ============================== end of process initial clauses ========
% 1.53/1.80
% 1.53/1.80 ============================== CLAUSES FOR SEARCH ====================
% 1.53/1.80
% 1.53/1.80 ============================== end of clauses for search =============
% 1.53/1.80
% 1.53/1.80 ============================== SEARCH ================================
% 1.53/1.80
% 1.53/1.80 % Starting search at 0.22 seconds.
% 1.53/1.80
% 1.53/1.80 ============================== PROOF =================================
% 1.53/1.80 % SZS status Unsatisfiable
% 1.53/1.80 % SZS output start Refutation
% 1.53/1.80
% 1.53/1.80 % Proof 1 at 0.63 (+ 0.01) seconds.
% 1.53/1.80 % Length of proof is 10.
% 1.53/1.80 % Level of proof is 3.
% 1.53/1.80 % Maximum clause weight is 18.000.
% 1.53/1.80 % Given clauses 369.
% 1.53/1.80
% 1.53/1.80 467 A = B | A = B | c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(C,B),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) # label(cls_in__mktop_4) # label(axiom). [assumption].
% 1.53/1.81 468 A = B | c_in(c_Pair(A,B,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(C,B),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)). [copy(467),merge(b)].
% 1.53/1.81 470 c_in(c_Arrow__Order__Mirabelle_Omktop(A,B),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) | -c_in(A,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) # label(cls_mktop__Lin_0) # label(axiom). [assumption].
% 1.53/1.81 473 c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) # label(cls_linear__alt_0) # label(axiom). [assumption].
% 1.53/1.81 527 v_a != v_b # label(cls_assms_0) # label(axiom). [assumption].
% 1.53/1.81 528 v_b != v_a. [copy(527),flip(a)].
% 1.53/1.81 534 -c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),A,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) | -c_in(A,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) # label(cls_conjecture_0) # label(negated_conjecture). [assumption].
% 1.53/1.81 2448 c_in(c_Arrow__Order__Mirabelle_Omktop(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,A),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)). [resolve(473,a,470,b)].
% 1.53/1.81 2987 -c_in(c_Arrow__Order__Mirabelle_Omktop(A,v_b),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)). [resolve(534,a,468,b),flip(b),unit_del(b,528)].
% 1.53/1.81 2988 $F. [resolve(2987,a,2448,a)].
% 1.53/1.81
% 1.53/1.81 % SZS output end Refutation
% 1.53/1.81 ============================== end of proof ==========================
% 1.53/1.81
% 1.53/1.81 ============================== STATISTICS ============================
% 1.53/1.81
% 1.53/1.81 Given=369. Generated=4726. Kept=2858. proofs=1.
% 1.53/1.81 Usable=365. Sos=2388. Demods=141. Limbo=0, Disabled=687. Hints=0.
% 1.53/1.81 Megabytes=10.18.
% 1.53/1.81 User_CPU=0.63, System_CPU=0.01, Wall_clock=1.
% 1.53/1.81
% 1.53/1.81 ============================== end of statistics =====================
% 1.53/1.81
% 1.53/1.81 ============================== end of search =========================
% 1.53/1.81
% 1.53/1.81 THEOREM PROVED
% 1.53/1.81 % SZS status Unsatisfiable
% 1.53/1.81
% 1.53/1.81 Exiting with 1 proof.
% 1.53/1.81
% 1.53/1.81 Process 31940 exit (max_proofs) Sat Jul 2 05:13:54 2022
% 1.53/1.81 Prover9 interrupted
%------------------------------------------------------------------------------