TSTP Solution File: MGT008+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : MGT008+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 09:08:52 EDT 2023
% Result : Theorem 0.21s 0.52s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT008+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 06:19:24 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.VHOJHlDQGJ/cvc5---1.0.5_864.p...
% 0.21/0.52 ------- get file name : TPTP file name is MGT008+1
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_864.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.52 % SZS status Theorem for MGT008+1
% 0.21/0.52 % SZS output start Proof for MGT008+1
% 0.21/0.52 (
% 0.21/0.52 (let ((_let_1 (not (forall ((X $$unsorted) (Y $$unsorted) (C $$unsorted) (P1 $$unsorted) (P2 $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (T1 $$unsorted) (T2 $$unsorted)) (=> (and (tptp.organization X T1) (tptp.organization Y T2) (tptp.reorganization_free X T1 T1) (tptp.reorganization_free Y T2 T2) (tptp.class X C T1) (tptp.class Y C T2) (tptp.survival_chance X P1 T1) (tptp.survival_chance Y P2 T2) (tptp.size X S1 T1) (tptp.size Y S2 T2) (tptp.greater S2 S1)) (tptp.greater P2 P1)))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted) (T1 $$unsorted) (T2 $$unsorted) (I1 $$unsorted) (I2 $$unsorted) (P1 $$unsorted) (P2 $$unsorted)) (=> (and (tptp.organization X T1) (tptp.organization Y T2) (tptp.reorganization_free X T1 T1) (tptp.reorganization_free Y T2 T2) (tptp.inertia X I1 T1) (tptp.inertia Y I2 T2) (tptp.survival_chance X P1 T1) (tptp.survival_chance Y P2 T2) (tptp.greater I2 I1)) (tptp.greater P2 P1))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (C $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (I1 $$unsorted) (I2 $$unsorted) (T1 $$unsorted) (T2 $$unsorted)) (=> (and (tptp.organization X T1) (tptp.organization Y T2) (tptp.class X C T1) (tptp.class Y C T2) (tptp.size X S1 T1) (tptp.size Y S2 T2) (tptp.inertia X I1 T1) (tptp.inertia Y I2 T2) (tptp.greater S2 S1)) (tptp.greater I2 I1))))) (let ((_let_4 (forall ((X $$unsorted) (T $$unsorted)) (=> (tptp.organization X T) (exists ((I $$unsorted)) (tptp.inertia X I T)))))) (let ((_let_5 (tptp.organization SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_6 (tptp.organization SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_7 (tptp.reorganization_free SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_8 (tptp.reorganization_free SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_9 (tptp.survival_chance SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_10 (tptp.survival_chance SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_11 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_12 (tptp.inertia SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_13 (tptp.inertia SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_14 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_15 (not _let_14))) (let ((_let_16 (not _let_10))) (let ((_let_17 (not _let_9))) (let ((_let_18 (not _let_13))) (let ((_let_19 (not _let_12))) (let ((_let_20 (not _let_8))) (let ((_let_21 (not _let_7))) (let ((_let_22 (not _let_6))) (let ((_let_23 (not _let_5))) (let ((_let_24 (or _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_11))) (let ((_let_25 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.size SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.size SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.class SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.class SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_23 _let_22 _let_21 _let_20 _let_34 _let_32 _let_17 _let_16 _let_30 _let_28 _let_26 _let_11))) (let ((_let_36 (forall ((X $$unsorted) (Y $$unsorted) (C $$unsorted) (P1 $$unsorted) (P2 $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (T1 $$unsorted) (T2 $$unsorted)) (or (not (tptp.organization X T1)) (not (tptp.organization Y T2)) (not (tptp.reorganization_free X T1 T1)) (not (tptp.reorganization_free Y T2 T2)) (not (tptp.class X C T1)) (not (tptp.class Y C T2)) (not (tptp.survival_chance X P1 T1)) (not (tptp.survival_chance Y P2 T2)) (not (tptp.size X S1 T1)) (not (tptp.size Y S2 T2)) (not (tptp.greater S2 S1)) (tptp.greater P2 P1))))) (let ((_let_37 (not _let_35))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (or))) (let ((_let_40 (not _let_36))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_38) :args (_let_40))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_36))) (REFL :args (_let_37)) :args _let_39)) _let_38 :args (_let_37 true _let_36)))) (let ((_let_42 (REFL :args (_let_35)))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_5))) :args _let_39)) :args ((or _let_5 _let_35))) _let_41 :args (_let_5 true _let_35)))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 1)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_6))) :args _let_39)) :args ((or _let_6 _let_35))) _let_41 :args (_let_6 true _let_35)))) (let ((_let_45 (forall ((I $$unsorted)) (not (tptp.inertia SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 I SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_23 _let_46))) (let ((_let_48 (forall ((X $$unsorted) (T $$unsorted)) (or (not (tptp.organization X T)) (not (forall ((I $$unsorted)) (not (tptp.inertia X I T)))))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (_let_48))) (let ((_let_51 ((not (= (tptp.organization X T) false))))) (let ((_let_52 (_let_46))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_52)) :args _let_52) (REWRITE :args ((=> _let_46 (not _let_19)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) (REFL :args (_let_12)) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_23 _let_46 (not _let_47)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50)) _let_49 :args (_let_47 false _let_48)) :args (_let_46 false _let_5 false _let_47)) :args (_let_12 true _let_45)))) (let ((_let_54 (forall ((I $$unsorted)) (not (tptp.inertia SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 I SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_22 _let_55))) (let ((_let_57 (_let_55))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_57)) :args _let_57) (REWRITE :args ((=> _let_55 (not _let_18)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_54))) (REFL :args (_let_13)) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_22 _let_55 (not _let_56)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50)) _let_49 :args (_let_56 false _let_48)) :args (_let_55 false _let_6 false _let_56)) :args (_let_13 true _let_54)))) (let ((_let_59 (forall ((X $$unsorted) (Y $$unsorted) (T1 $$unsorted) (T2 $$unsorted) (I1 $$unsorted) (I2 $$unsorted) (P1 $$unsorted) (P2 $$unsorted)) (or (not (tptp.organization X T1)) (not (tptp.organization Y T2)) (not (tptp.reorganization_free X T1 T1)) (not (tptp.reorganization_free Y T2 T2)) (not (tptp.inertia X I1 T1)) (not (tptp.inertia Y I2 T2)) (not (tptp.survival_chance X P1 T1)) (not (tptp.survival_chance Y P2 T2)) (not (tptp.greater I2 I1)) (tptp.greater P2 P1))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (or _let_23 _let_22 _let_34 _let_32 _let_30 _let_28 _let_19 _let_18 _let_26 _let_14))) (let ((_let_62 (forall ((X $$unsorted) (Y $$unsorted) (C $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (I1 $$unsorted) (I2 $$unsorted) (T1 $$unsorted) (T2 $$unsorted)) (or (not (tptp.organization X T1)) (not (tptp.organization Y T2)) (not (tptp.class X C T1)) (not (tptp.class Y C T2)) (not (tptp.size X S1 T1)) (not (tptp.size Y S2 T2)) (not (tptp.inertia X I1 T1)) (not (tptp.inertia Y I2 T2)) (not (tptp.greater S2 S1)) (tptp.greater I2 I1))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_22 _let_21 _let_20 _let_17 _let_16 _let_11 _let_19 _let_18 _let_15 (not _let_24)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_23 _let_22 _let_34 _let_32 _let_30 _let_28 _let_26 _let_19 _let_18 _let_14 (not _let_61)))) _let_43 _let_44 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 4)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_39)) :args ((or _let_33 _let_35))) _let_41 :args (_let_33 true _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 5)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_39)) :args ((or _let_31 _let_35))) _let_41 :args (_let_31 true _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 8)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_39)) :args ((or _let_29 _let_35))) _let_41 :args (_let_29 true _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 9)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_39)) :args ((or _let_27 _let_35))) _let_41 :args (_let_27 true _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 10)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_39)) :args ((or _let_25 _let_35))) _let_41 :args (_let_25 true _let_35)) _let_53 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.class X C T1) false)) (not (= (tptp.size X S1 T1) false)) (not (= (tptp.size Y S2 T2) false)) (not (= (tptp.inertia X I1 T1) false)) (not (= (tptp.inertia Y I2 T2) false))))) :args (_let_62))) _let_63 :args (_let_61 false _let_62)) :args (_let_14 false _let_5 false _let_6 false _let_33 false _let_31 false _let_29 false _let_27 false _let_25 false _let_12 false _let_13 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.inertia X I1 T1) false)) (not (= (tptp.inertia Y I2 T2) false)) (not (= (tptp.survival_chance X P1 T1) false)) (not (= (tptp.survival_chance Y P2 T2) false))))) :args (_let_59))) _let_60 :args (_let_24 false _let_59)) _let_58 _let_53 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_35 11)) _let_41 :args ((not _let_11) true _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 7)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_10))) :args _let_39)) :args ((or _let_10 _let_35))) _let_41 :args (_let_10 true _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 6)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_9))) :args _let_39)) :args ((or _let_9 _let_35))) _let_41 :args (_let_9 true _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 3)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_8))) :args _let_39)) :args ((or _let_8 _let_35))) _let_41 :args (_let_8 true _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 2)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_7))) :args _let_39)) :args ((or _let_7 _let_35))) _let_41 :args (_let_7 true _let_35)) _let_44 _let_43 :args (false false _let_14 false _let_24 false _let_13 false _let_12 true _let_11 false _let_10 false _let_9 false _let_8 false _let_7 false _let_6 false _let_5)) :args (_let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.53 )
% 0.21/0.53 % SZS output end Proof for MGT008+1
% 0.21/0.53 % cvc5---1.0.5 exiting
% 0.21/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------