TSTP Solution File: KRS082+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS082+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 05:41:21 EDT 2023
% Result : Unsatisfiable 0.22s 0.54s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS082+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 02:33:54 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.evYTpP1gVz/cvc5---1.0.5_20491.p...
% 0.22/0.50 ------- get file name : TPTP file name is KRS082+1
% 0.22/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_20491.smt2...
% 0.22/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.54 % SZS status Unsatisfiable for KRS082+1
% 0.22/0.54 % SZS output start Proof for KRS082+1
% 0.22/0.54 (
% 0.22/0.54 (let ((_let_1 (tptp.cUnsatisfiable tptp.i2003_11_14_17_19_28752))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvS X Y) (tptp.rs Y X))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvR X Y) (tptp.rr Y X))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvP X Y) (tptp.rp Y X))))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.cc X) (forall ((Y $$unsorted)) (=> (tptp.rinvR X Y) (forall ((Z $$unsorted)) (=> (tptp.rinvP Y Z) (forall ((W $$unsorted)) (=> (tptp.rinvS Z W) (not (tptp.ca W)))))))))))) (let ((_let_6 (forall ((X $$unsorted)) (=> (tptp.cUnsatisfiable X) (tptp.ca X))))) (let ((_let_7 (forall ((X $$unsorted)) (=> (tptp.cUnsatisfiable X) (exists ((Y $$unsorted)) (and (tptp.rs X Y) (exists ((Z $$unsorted)) (and (tptp.rp Y Z) (tptp.cowlThing Z))) (forall ((Z $$unsorted)) (=> (tptp.rr Y Z) (tptp.cc Z))) (forall ((Z $$unsorted)) (=> (tptp.rp Y Z) (exists ((W $$unsorted)) (and (tptp.rr Z W) (tptp.cowlThing W))))) (forall ((Z $$unsorted)) (=> (tptp.rp Y Z) (exists ((W $$unsorted)) (and (tptp.rp Z W) (tptp.cowlThing W))))) (forall ((Z $$unsorted)) (=> (tptp.rp Y Z) (forall ((W $$unsorted)) (=> (tptp.rr Z W) (tptp.cc W))))) (exists ((Z $$unsorted)) (and (tptp.rr Y Z) (tptp.cowlThing Z))))))))) (let ((_let_8 (forall ((Y $$unsorted) (BOUND_VARIABLE_870 $$unsorted) (BOUND_VARIABLE_868 $$unsorted)) (or (not (tptp.rinvR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Y)) (not (tptp.rinvP Y BOUND_VARIABLE_868)) (not (tptp.rinvS BOUND_VARIABLE_868 BOUND_VARIABLE_870)) (not (tptp.ca BOUND_VARIABLE_870)))))) (let ((_let_9 (tptp.ca tptp.i2003_11_14_17_19_28752))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.rinvS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.i2003_11_14_17_19_28752))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.rinvP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.rinvR SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_14 _let_12 _let_10))) (let ((_let_18 (tptp.cc SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_19 (= _let_18 _let_8))) (let ((_let_20 (forall ((X $$unsorted)) (= (tptp.cc X) (forall ((Y $$unsorted) (BOUND_VARIABLE_870 $$unsorted) (BOUND_VARIABLE_868 $$unsorted)) (or (not (tptp.rinvR X Y)) (not (tptp.rinvP Y BOUND_VARIABLE_868)) (not (tptp.rinvS BOUND_VARIABLE_868 BOUND_VARIABLE_870)) (not (tptp.ca BOUND_VARIABLE_870)))))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (tptp.rr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_18))) (let ((_let_27 (forall ((Z $$unsorted) (BOUND_VARIABLE_782 $$unsorted)) (or (not (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Z)) (not (tptp.rr Z BOUND_VARIABLE_782)) (tptp.cc BOUND_VARIABLE_782))))) (let ((_let_28 (not _let_27))) (let ((_let_29 (forall ((Z $$unsorted)) (or (not (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Z)) (not (forall ((W $$unsorted)) (or (not (tptp.rr Z W)) (not (tptp.cowlThing W))))))))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.rs tptp.i2003_11_14_17_19_28752 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 (not (forall ((Z $$unsorted)) (or (not (tptp.rr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Z)) (tptp.cc Z)))) _let_30 (not (forall ((Z $$unsorted)) (or (not (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Z)) (not (forall ((W $$unsorted)) (or (not (tptp.rp Z W)) (not (tptp.cowlThing W)))))))) _let_28 _let_25 (not (tptp.cowlThing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (tptp.rr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.cowlThing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_34 (forall ((Y $$unsorted) (BOUND_VARIABLE_820 $$unsorted) (BOUND_VARIABLE_813 $$unsorted)) (or (not (tptp.rs tptp.i2003_11_14_17_19_28752 Y)) (not (forall ((Z $$unsorted)) (or (not (tptp.rr Y Z)) (tptp.cc Z)))) (not (forall ((Z $$unsorted)) (or (not (tptp.rp Y Z)) (not (forall ((W $$unsorted)) (or (not (tptp.rr Z W)) (not (tptp.cowlThing W)))))))) (not (forall ((Z $$unsorted)) (or (not (tptp.rp Y Z)) (not (forall ((W $$unsorted)) (or (not (tptp.rp Z W)) (not (tptp.cowlThing W)))))))) (not (forall ((Z $$unsorted) (BOUND_VARIABLE_782 $$unsorted)) (or (not (tptp.rp Y Z)) (not (tptp.rr Z BOUND_VARIABLE_782)) (tptp.cc BOUND_VARIABLE_782)))) (not (tptp.rp Y BOUND_VARIABLE_813)) (not (tptp.cowlThing BOUND_VARIABLE_813)) (not (tptp.rr Y BOUND_VARIABLE_820)) (not (tptp.cowlThing BOUND_VARIABLE_820)))))) (let ((_let_35 (not _let_33))) (let ((_let_36 (not _let_34))) (let ((_let_37 (not _let_1))) (let ((_let_38 (or _let_37 _let_36))) (let ((_let_39 (forall ((X $$unsorted)) (or (not (tptp.cUnsatisfiable X)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_820 $$unsorted) (BOUND_VARIABLE_813 $$unsorted)) (or (not (tptp.rs X Y)) (not (forall ((Z $$unsorted)) (or (not (tptp.rr Y Z)) (tptp.cc Z)))) (not (forall ((Z $$unsorted)) (or (not (tptp.rp Y Z)) (not (forall ((W $$unsorted)) (or (not (tptp.rr Z W)) (not (tptp.cowlThing W)))))))) (not (forall ((Z $$unsorted)) (or (not (tptp.rp Y Z)) (not (forall ((W $$unsorted)) (or (not (tptp.rp Z W)) (not (tptp.cowlThing W)))))))) (not (forall ((Z $$unsorted) (BOUND_VARIABLE_782 $$unsorted)) (or (not (tptp.rp Y Z)) (not (tptp.rr Z BOUND_VARIABLE_782)) (tptp.cc BOUND_VARIABLE_782)))) (not (tptp.rp Y BOUND_VARIABLE_813)) (not (tptp.cowlThing BOUND_VARIABLE_813)) (not (tptp.rr Y BOUND_VARIABLE_820)) (not (tptp.cowlThing BOUND_VARIABLE_820))))))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (ASSUME :args (_let_1)))) (let ((_let_42 (or))) (let ((_let_43 (_let_36))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_43)) :args _let_43)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_34))) (REFL :args (_let_35)) :args _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_36 (not _let_38)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.i2003_11_14_17_19_28752 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.cUnsatisfiable X) false))))) :args (_let_39))) _let_40 :args (_let_38 false _let_39)) :args (_let_36 false _let_1 false _let_38)) :args (_let_35 true _let_34)))) (let ((_let_45 (REFL :args (_let_33)))) (let ((_let_46 (_let_27))) (let ((_let_47 (or _let_23 (not (tptp.cowlThing SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_48 (forall ((W $$unsorted)) (or (not (tptp.rr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 W)) (not (tptp.cowlThing W)))))) (let ((_let_49 (not _let_47))) (let ((_let_50 (not _let_48))) (let ((_let_51 (or _let_25 _let_50))) (let ((_let_52 (_let_29))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 5)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_42)) :args ((or _let_24 _let_33))) _let_44 :args (_let_24 true _let_33)))) (let ((_let_54 (_let_50))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 0)) (CONG (REFL :args (_let_47)) (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_42)) :args ((or _let_22 _let_47))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_54)) :args _let_54)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_48))) (REFL :args (_let_49)) :args _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_25 _let_50 (not _let_51)))) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_52) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Z) false))))) :args _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 2)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_42)) :args ((or _let_29 _let_33))) _let_44 :args (_let_29 true _let_33)) :args (_let_51 false _let_29)) :args (_let_50 false _let_24 false _let_51)) :args (_let_49 true _let_48)) :args (_let_22 true _let_47)))) (let ((_let_56 (not _let_17))) (let ((_let_57 (= _let_22 _let_15))) (let ((_let_58 (_let_3))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (= _let_31 _let_11))) (let ((_let_61 (_let_2))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 (= _let_24 _let_13))) (let ((_let_64 (_let_4))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (or _let_37 _let_9))) (let ((_let_67 (forall ((X $$unsorted)) (or (not (tptp.cUnsatisfiable X)) (tptp.ca X))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (_let_8))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_69) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.i2003_11_14_17_19_28752 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.rinvP Y BOUND_VARIABLE_868) false)) (not (= (tptp.rinvS BOUND_VARIABLE_868 BOUND_VARIABLE_870) false))))) :args _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_10 _let_14 _let_12 _let_16 _let_56))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_37 _let_9 (not _let_66)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.i2003_11_14_17_19_28752 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.cUnsatisfiable X) false))))) :args (_let_67))) _let_68 :args (_let_66 false _let_67)) :args (_let_9 false _let_1 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_63)) :args ((or _let_25 _let_13 (not _let_63)))) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.rp Y X)))) :args _let_64))) _let_65 :args (_let_63 false _let_4)) :args (_let_13 false _let_24 false _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_60)) :args ((or _let_32 _let_11 (not _let_60)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 0)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_42)) :args ((or _let_31 _let_33))) _let_44 :args (_let_31 true _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.i2003_11_14_17_19_28752 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.rs Y X)))) :args _let_61))) _let_62 :args (_let_60 false _let_2)) :args (_let_11 false _let_31 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_57)) :args ((or _let_23 _let_15 (not _let_57)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.rr Y X)))) :args _let_58))) _let_59 :args (_let_57 false _let_3)) :args (_let_15 false _let_22 false _let_57)) :args (_let_56 false _let_9 false _let_13 false _let_11 false _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_19)) :args ((or (not _let_18) _let_8 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_23 _let_18 (not _let_26)))) _let_53 _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_46) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rr Z BOUND_VARIABLE_782) false))))) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 4)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_42)) :args ((or _let_27 _let_33))) _let_44 :args (_let_27 true _let_33)) :args (_let_26 false _let_27)) :args (_let_18 false _let_24 false _let_22 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cc X)))) :args (_let_20))) _let_21 :args (_let_19 false _let_20)) :args (_let_8 false _let_18 false _let_19)) :args (false true _let_17 false _let_8)) :args ((forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))) (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))) _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rp X Y) (tptp.rp Y Z)) (tptp.rp X Z))) _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.54 )
% 0.22/0.55 % SZS output end Proof for KRS082+1
% 0.22/0.55 % cvc5---1.0.5 exiting
% 0.22/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------