%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : MGT005+2 : TPTP v8.1.2. Bugfixed v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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  : 300s
% DateTime : Thu Aug 31 09:08:51 EDT 2023

% Result   : Theorem 1.20s 1.42s
% Output   : Proof 1.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : MGT005+2 : TPTP v8.1.2. Bugfixed v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 28 06:18:28 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 1.20/1.42  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.fVHDmQ2Ycg/cvc5---1.0.5_4200.p...
% 1.20/1.42  ------- get file name : TPTP file name is MGT005+2
% 1.20/1.42  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4200.smt2...
% 1.20/1.42  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.20/1.42  % SZS status Theorem for MGT005+2
% 1.20/1.42  % SZS output start Proof for MGT005+2
% 1.20/1.42  (
% 1.20/1.42  (let ((_let_1 (not (forall ((X $$unsorted) (Y $$unsorted) (Re $$unsorted) (C $$unsorted) (P $$unsorted) (P1 $$unsorted) (P2 $$unsorted) (C1 $$unsorted) (C2 $$unsorted) (T $$unsorted) (Ta $$unsorted) (Tb $$unsorted) (Tc $$unsorted)) (let ((_let_1 (tptp.greater P1 P2))) (=> (and (tptp.organization X Ta) (tptp.organization Y Ta) (tptp.organization X Tc) (tptp.organization Y Tc) (tptp.class X C Ta) (tptp.class Y C Ta) (tptp.survival_chance X P Ta) (tptp.survival_chance Y P Ta) (tptp.reorganization X Ta Tb) (tptp.reorganization Y Ta Tc) (tptp.reorganization_type X Re Ta) (tptp.reorganization_type Y Re Ta) (tptp.reorganization_free X Tb Tc) (tptp.survival_chance X P1 T) (tptp.survival_chance Y P2 T) (tptp.complexity X C1 Ta) (tptp.complexity Y C2 Ta) (tptp.greater C2 C1) (=> (= T Tc) _let_1)) (=> (= T Tb) (or _let_1 (= P1 P2))))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted) (Re $$unsorted) (C $$unsorted) (P $$unsorted) (P1 $$unsorted) (P2 $$unsorted) (C1 $$unsorted) (C2 $$unsorted) (Ta $$unsorted) (Tb $$unsorted) (Tc $$unsorted)) (=> (and (tptp.organization X Ta) (tptp.organization Y Ta) (tptp.organization X Tb) (tptp.organization Y Tb) (tptp.class X C Ta) (tptp.class Y C Ta) (tptp.survival_chance X P Ta) (tptp.survival_chance Y P Ta) (tptp.reorganization X Ta Tb) (tptp.reorganization Y Ta Tc) (tptp.reorganization_type X Re Ta) (tptp.reorganization_type Y Re Ta) (tptp.survival_chance X P1 Tb) (tptp.survival_chance Y P2 Tb) (tptp.complexity X C1 Ta) (tptp.complexity Y C2 Ta) (tptp.greater C2 C1)) (or (tptp.greater P1 P2) (= P1 P2)))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (Re $$unsorted) (C $$unsorted) (C1 $$unsorted) (C2 $$unsorted) (Ta $$unsorted) (Tb $$unsorted) (Tc $$unsorted)) (=> (and (tptp.organization X Ta) (tptp.organization Y Ta) (tptp.organization Y Tc) (tptp.class X C Ta) (tptp.class Y C Ta) (tptp.reorganization X Ta Tb) (tptp.reorganization Y Ta Tc) (tptp.reorganization_type X Re Ta) (tptp.reorganization_type Y Re Ta) (tptp.complexity X C1 Ta) (tptp.complexity Y C2 Ta) (tptp.greater C2 C1)) (tptp.greater Tc Tb))))) (let ((_let_4 (forall ((X $$unsorted) (Ta $$unsorted) (Tb $$unsorted)) (=> (tptp.reorganization X Ta Tb) (tptp.greater Tb Ta))))) (let ((_let_5 (forall ((X $$unsorted) (T $$unsorted) (T1 $$unsorted) (T2 $$unsorted)) (=> (and (tptp.organization X T1) (tptp.organization X T2) (tptp.greater T T1) (tptp.greater T2 T)) (tptp.organization X T))))) (let ((_let_6 (forall ((X $$unsorted) (T $$unsorted) (T1 $$unsorted) (T2 $$unsorted)) (or (not (tptp.organization X T1)) (not (tptp.organization X T2)) (not (tptp.greater T T1)) (not (tptp.greater T2 T)) (tptp.organization X T))))) (let ((_let_7 (tptp.organization SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_8 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.organization SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.organization SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13 _let_11 _let_9 _let_7))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.complexity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.complexity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.reorganization_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.reorganization_type SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.reorganization SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.reorganization SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.class SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.class SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.organization SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_15 _let_13 _let_36 _let_34 _let_32 _let_30 _let_28 _let_26 _let_24 _let_22 _let_20 _let_8))) (let ((_let_40 (forall ((X $$unsorted) (Y $$unsorted) (Re $$unsorted) (C $$unsorted) (C1 $$unsorted) (C2 $$unsorted) (Ta $$unsorted) (Tb $$unsorted) (Tc $$unsorted)) (or (not (tptp.organization X Ta)) (not (tptp.organization Y Ta)) (not (tptp.organization Y Tc)) (not (tptp.class X C Ta)) (not (tptp.class Y C Ta)) (not (tptp.reorganization X Ta Tb)) (not (tptp.reorganization Y Ta Tc)) (not (tptp.reorganization_type X Re Ta)) (not (tptp.reorganization_type Y Re Ta)) (not (tptp.complexity X C1 Ta)) (not (tptp.complexity Y C2 Ta)) (not (tptp.greater C2 C1)) (tptp.greater Tc Tb))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_43 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.survival_chance SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.survival_chance SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.survival_chance SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.survival_chance SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.organization SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_38 _let_15 _let_54 _let_13 _let_36 _let_34 _let_52 _let_50 _let_32 _let_30 _let_28 _let_26 (not (tptp.reorganization_free SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)) _let_48 _let_46 _let_24 _let_22 _let_20 (and (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13) _let_44) _let_43 _let_42))) (let ((_let_56 (forall ((X $$unsorted) (Y $$unsorted) (Re $$unsorted) (C $$unsorted) (P $$unsorted) (P1 $$unsorted) (P2 $$unsorted) (C1 $$unsorted) (C2 $$unsorted) (Ta $$unsorted) (Tb $$unsorted) (Tc $$unsorted)) (let ((_let_1 (tptp.greater P1 P2))) (or (not (tptp.organization X Ta)) (not (tptp.organization Y Ta)) (not (tptp.organization X Tc)) (not (tptp.organization Y Tc)) (not (tptp.class X C Ta)) (not (tptp.class Y C Ta)) (not (tptp.survival_chance X P Ta)) (not (tptp.survival_chance Y P Ta)) (not (tptp.reorganization X Ta Tb)) (not (tptp.reorganization Y Ta Tc)) (not (tptp.reorganization_type X Re Ta)) (not (tptp.reorganization_type Y Re Ta)) (not (tptp.reorganization_free X Tb Tc)) (not (tptp.survival_chance X P1 Tb)) (not (tptp.survival_chance Y P2 Tb)) (not (tptp.complexity X C1 Ta)) (not (tptp.complexity Y C2 Ta)) (not (tptp.greater C2 C1)) (and (= Tb Tc) (not _let_1)) _let_1 (= P1 P2)))))) (let ((_let_57 (not _let_55))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (or))) (let ((_let_60 (not _let_56))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_58) :args (_let_60))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_56))) (REFL :args (_let_57)) :args _let_59)) _let_58 :args (_let_57 true _let_56)))) (let ((_let_62 (REFL :args (_let_55)))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 17)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_59)) :args ((or _let_19 _let_55))) _let_61 :args (_let_19 true _let_55)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 16)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_59)) :args ((or _let_21 _let_55))) _let_61 :args (_let_21 true _let_55)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 15)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_59)) :args ((or _let_23 _let_55))) _let_61 :args (_let_23 true _let_55)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 11)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_59)) :args ((or _let_25 _let_55))) _let_61 :args (_let_25 true _let_55)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 10)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_59)) :args ((or _let_27 _let_55))) _let_61 :args (_let_27 true _let_55)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 9)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_59)) :args ((or _let_29 _let_55))) _let_61 :args (_let_29 true _let_55)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 8)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_59)) :args ((or _let_31 _let_55))) _let_61 :args (_let_31 true _let_55)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 5)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_59)) :args ((or _let_33 _let_55))) _let_61 :args (_let_33 true _let_55)))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 4)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_59)) :args ((or _let_35 _let_55))) _let_61 :args (_let_35 true _let_55)))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 3)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_59)) :args ((or _let_12 _let_55))) _let_61 :args (_let_12 true _let_55)))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 1)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_59)) :args ((or _let_14 _let_55))) _let_61 :args (_let_14 true _let_55)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 0)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_59)) :args ((or _let_37 _let_55))) _let_61 :args (_let_37 true _let_55)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_15 _let_13 _let_36 _let_34 _let_32 _let_30 _let_28 _let_26 _let_24 _let_22 _let_20 _let_8 (not _let_39)))) _let_74 _let_73 _let_72 _let_71 _let_70 _let_69 _let_68 _let_67 _let_66 _let_65 _let_64 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.organization Y Tc) false)) (not (= (tptp.class X C Ta) false)) (not (= (tptp.reorganization X Ta Tb) false)) (not (= (tptp.reorganization_type X Re Ta) false)) (not (= (tptp.complexity X C1 Ta) false)) (not (= (tptp.complexity Y C2 Ta) false))))) :args (_let_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_8 false _let_37 false _let_14 false _let_12 false _let_35 false _let_33 false _let_31 false _let_29 false _let_27 false _let_25 false _let_23 false _let_21 false _let_19 false _let_39)))) (let ((_let_76 (or _let_32 _let_10))) (let ((_let_77 (forall ((X $$unsorted) (Ta $$unsorted) (Tb $$unsorted)) (or (not (tptp.reorganization X Ta Tb)) (tptp.greater Tb Ta))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_32 _let_10 (not _let_76)))) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.reorganization X Ta Tb) false))))) :args (_let_77))) _let_78 :args (_let_76 false _let_77)) :args (_let_10 false _let_31 false _let_76)))) (let ((_let_80 (not _let_7))) (let ((_let_81 (tptp.organization SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_38 _let_15 _let_82 _let_80 _let_36 _let_34 _let_52 _let_50 _let_32 _let_30 _let_28 _let_26 _let_48 _let_46 _let_24 _let_22 _let_20 _let_43 _let_42))) (let ((_let_84 (forall ((X $$unsorted) (Y $$unsorted) (Re $$unsorted) (C $$unsorted) (P $$unsorted) (P1 $$unsorted) (P2 $$unsorted) (C1 $$unsorted) (C2 $$unsorted) (Ta $$unsorted) (Tb $$unsorted) (Tc $$unsorted)) (or (not (tptp.organization X Ta)) (not (tptp.organization Y Ta)) (not (tptp.organization X Tb)) (not (tptp.organization Y Tb)) (not (tptp.class X C Ta)) (not (tptp.class Y C Ta)) (not (tptp.survival_chance X P Ta)) (not (tptp.survival_chance Y P Ta)) (not (tptp.reorganization X Ta Tb)) (not (tptp.reorganization Y Ta Tc)) (not (tptp.reorganization_type X Re Ta)) (not (tptp.reorganization_type Y Re Ta)) (not (tptp.survival_chance X P1 Tb)) (not (tptp.survival_chance Y P2 Tb)) (not (tptp.complexity X C1 Ta)) (not (tptp.complexity Y C2 Ta)) (not (tptp.greater C2 C1)) (tptp.greater P1 P2) (= P1 P2))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (or _let_38 _let_54 _let_11 _let_9 _let_81))) (let ((_let_87 (_let_6))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.organization X T1) false)) (not (= (tptp.greater T2 T) false))))) :args _let_87)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_15 _let_13 _let_7 _let_11 _let_9 _let_18))) _let_73 _let_72 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_38 _let_15 _let_36 _let_34 _let_52 _let_50 _let_32 _let_30 _let_28 _let_26 _let_48 _let_46 _let_24 _let_22 _let_20 _let_43 _let_42 _let_82 _let_80 (not _let_83)))) _let_74 _let_73 _let_71 _let_70 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 6)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_59)) :args ((or _let_51 _let_55))) _let_61 :args (_let_51 true _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 7)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_59)) :args ((or _let_49 _let_55))) _let_61 :args (_let_49 true _let_55)) _let_69 _let_68 _let_67 _let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 13)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_59)) :args ((or _let_47 _let_55))) _let_61 :args (_let_47 true _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 14)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_59)) :args ((or _let_45 _let_55))) _let_61 :args (_let_45 true _let_55)) _let_65 _let_64 _let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_55 19)) :args ((or _let_44 _let_55))) _let_61 :args (_let_44 true _let_55)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_55 20)) _let_61 :args ((not _let_42) true _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_38 _let_54 _let_81 _let_11 _let_9 (not _let_86)))) _let_74 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 2)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_59)) :args ((or _let_53 _let_55))) _let_61 :args (_let_53 true _let_55)) _let_79 _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.organization X T2) false)) (not (= (tptp.greater T T1) false))))) :args _let_87)) _let_17 :args (_let_86 false _let_6)) :args (_let_81 false _let_37 false _let_53 false _let_10 false _let_8 false _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.class X C Ta) false)) (not (= (tptp.survival_chance X P Ta) false)) (not (= (tptp.reorganization Y Ta Tc) false)) (not (= (tptp.reorganization_type X Re Ta) false)) (not (= (tptp.survival_chance X P1 Tb) false)) (not (= (tptp.survival_chance Y P2 Tb) false)) (not (= (tptp.complexity X C1 Ta) false)) (not (= (tptp.complexity Y C2 Ta) false))))) :args (_let_84))) _let_85 :args (_let_83 false _let_84)) :args (_let_80 false _let_37 false _let_14 false _let_35 false _let_33 false _let_51 false _let_49 false _let_31 false _let_29 false _let_27 false _let_25 false _let_47 false _let_45 false _let_23 false _let_21 false _let_19 true _let_43 true _let_42 false _let_81 false _let_83)) _let_79 _let_75 :args (_let_18 false _let_14 false _let_12 true _let_7 false _let_10 false _let_8)) _let_17 :args (false true _let_16 false _let_6)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.greater X Y) (= X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.greater X Y) (tptp.greater Y X)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.greater X Y) (tptp.greater Y Z)) (tptp.greater X Z))) (forall ((X $$unsorted) (Y $$unsorted) (P1 $$unsorted) (P2 $$unsorted) (T $$unsorted)) (=> (and (tptp.survival_chance X P1 T) (tptp.survival_chance Y P2 T)) (or (tptp.greater P1 P2) (= P1 P2) (tptp.greater P2 P1)))) (forall ((X $$unsorted) (T $$unsorted)) (=> (tptp.organization X T) (exists ((P $$unsorted)) (tptp.survival_chance X P T)))) _let_5 _let_4 (forall ((X $$unsorted) (P1 $$unsorted) (P2 $$unsorted) (T1 $$unsorted) (T2 $$unsorted)) (=> (and (tptp.organization X T1) (tptp.organization X T2) (tptp.reorganization_free X T1 T2) (tptp.survival_chance X P1 T1) (tptp.survival_chance X P2 T2) (tptp.greater T2 T1)) (tptp.greater P2 P1))) (forall ((X $$unsorted) (P1 $$unsorted) (P2 $$unsorted) (T1 $$unsorted) (T2 $$unsorted) (Ta $$unsorted) (Tb $$unsorted)) (=> (and (tptp.organization X T1) (tptp.organization X T2) (tptp.reorganization X Ta Tb) (tptp.survival_chance X P1 T1) (tptp.survival_chance X P2 T2) (not (tptp.greater Ta T1)) (tptp.greater T2 T1) (not (tptp.greater T2 Tb))) (tptp.greater P1 P2))) _let_3 _let_2 (forall ((X $$unsorted) (Y $$unsorted) (Px1 $$unsorted) (Px2 $$unsorted) (Py1 $$unsorted) (Py2 $$unsorted) (T1 $$unsorted) (T2 $$unsorted)) (=> (and (tptp.greater T2 T1) (tptp.survival_chance X Px1 T1) (tptp.survival_chance Y Py1 T1) (tptp.survival_chance X Px2 T2) (tptp.survival_chance Y Py2 T2) (tptp.greater Px2 Px1) (tptp.greater Py1 Px2)) (exists ((T0 $$unsorted) (Px0 $$unsorted) (Py0 $$unsorted)) (and (tptp.greater T0 T1) (tptp.greater T2 T0) (tptp.survival_chance X Px0 T0) (tptp.survival_chance Y Py0 T0) (= Px0 Py0))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.20/1.43  )
% 1.20/1.43  % SZS output end Proof for MGT005+2
% 1.20/1.43  % cvc5---1.0.5 exiting
% 1.20/1.43  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------