TSTP Solution File: KRS088+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS088+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 05:41:23 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
% 0.12/0.13 % Problem : KRS088+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n031.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 02:48:10 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.QnEgY5qNj9/cvc5---1.0.5_30453.p...
% 0.22/0.51 ------- get file name : TPTP file name is KRS088+1
% 0.22/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30453.smt2...
% 0.22/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.54 % SZS status Unsatisfiable for KRS088+1
% 0.22/0.54 % SZS output start Proof for KRS088+1
% 0.22/0.54 (
% 0.22/0.54 (let ((_let_1 (tptp.cUnsatisfiable tptp.i2003_11_14_17_19_49673))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvF X Y) (tptp.rf Y X))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rf X Y) (tptp.rf X Z)) (= Y Z))))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (exists ((Y $$unsorted)) (and (tptp.rf X Y) (forall ((Z $$unsorted)) (=> (tptp.rinvF Y Z) (exists ((W $$unsorted)) (and (tptp.rf Z W) (not (tptp.cp1 W)))))) (tptp.cp1 Y))))))) (let ((_let_5 (tptp.cp1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_6 (tptp.cp1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (not _let_5))) (let ((_let_9 (forall ((Z $$unsorted)) (or (not (tptp.rinvF SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Z)) (not (forall ((W $$unsorted)) (or (not (tptp.rf Z W)) (tptp.cp1 W)))))))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.rf tptp.i2003_11_14_17_19_49673 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_10 _let_8))) (let ((_let_14 (forall ((Y $$unsorted)) (or (not (tptp.rf tptp.i2003_11_14_17_19_49673 Y)) (not (forall ((Z $$unsorted)) (or (not (tptp.rinvF Y Z)) (not (forall ((W $$unsorted)) (or (not (tptp.rf Z W)) (tptp.cp1 W))))))) (not (tptp.cp1 Y)))))) (let ((_let_15 (not _let_13))) (let ((_let_16 (not _let_14))) (let ((_let_17 (= _let_1 _let_16))) (let ((_let_18 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (not (forall ((Y $$unsorted)) (or (not (tptp.rf X Y)) (not (forall ((Z $$unsorted)) (or (not (tptp.rinvF Y Z)) (not (forall ((W $$unsorted)) (or (not (tptp.rf Z W)) (tptp.cp1 W))))))) (not (tptp.cp1 Y))))))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (or))) (let ((_let_21 (_let_16))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_21)) :args _let_21)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_14))) (REFL :args (_let_15)) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_17)) :args ((or (not _let_1) _let_16 (not _let_17)))) (ASSUME :args (_let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.i2003_11_14_17_19_49673 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cUnsatisfiable X)))) :args (_let_18))) _let_19 :args (_let_17 false _let_18)) :args (_let_16 false _let_1 false _let_17)) :args (_let_15 true _let_14)))) (let ((_let_23 (REFL :args (_let_13)))) (let ((_let_24 (tptp.rf tptp.i2003_11_14_17_19_49673 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_6))) (let ((_let_27 (not _let_6))) (let ((_let_28 (forall ((W $$unsorted)) (or (not (tptp.rf tptp.i2003_11_14_17_19_49673 W)) (tptp.cp1 W))))) (let ((_let_29 (not _let_26))) (let ((_let_30 (not _let_28))) (let ((_let_31 (tptp.rinvF SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.i2003_11_14_17_19_49673))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30))) (let ((_let_34 (_let_9))) (let ((_let_35 (= _let_11 _let_31))) (let ((_let_36 (_let_2))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 0)) (CONG _let_23 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_20)) :args ((or _let_11 _let_13))) _let_22 :args (_let_11 true _let_13)))) (let ((_let_39 (_let_30))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_39)) :args _let_39)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_28))) (REFL :args (_let_29)) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_30 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_35)) :args ((or _let_12 _let_31 (not _let_35)))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.i2003_11_14_17_19_49673 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.rf Y X)))) :args _let_36))) _let_37 :args (_let_35 false _let_2)) :args (_let_31 false _let_11 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_34) :args (tptp.i2003_11_14_17_19_49673 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rinvF SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Z) false))))) :args _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 1)) (CONG _let_23 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_20)) :args ((or _let_9 _let_13))) _let_22 :args (_let_9 true _let_13)) :args (_let_33 false _let_9)) :args (_let_30 false _let_31 false _let_33)) :args (_let_29 true _let_28)))) (let ((_let_41 (or _let_12 _let_25 _let_7))) (let ((_let_42 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.rf X Y)) (not (tptp.rf X Z)) (= Y Z))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (ASSUME :args (_let_5)))) (let ((_let_45 (ASSUME :args (_let_7)))) (let ((_let_46 (ASSUME :args (_let_27)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_44 _let_45 _let_46) :args (_let_5 _let_27 _let_7)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_46)) (CONG (SYMM _let_45) :args (APPLY_UF tptp.cp1)) (TRUE_INTRO _let_44))) :args (_let_5 _let_7 _let_27)) :args ((not (and _let_5 _let_27 _let_7)) SB_LITERAL))) (CONG (REFL :args (_let_8)) (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_6))) (REFL :args ((not _let_7))) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_12 _let_25 _let_7 (not _let_41)))) _let_38 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG (REFL :args (_let_26)) (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_20)) :args ((or _let_24 _let_26))) _let_40 :args (_let_24 true _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.i2003_11_14_17_19_49673 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.rf X Y) false)) (not (= (tptp.rf X Z) false))))) :args (_let_42))) _let_43 :args (_let_41 false _let_42)) :args (_let_7 false _let_11 false _let_24 false _let_41)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_26 1)) _let_40 :args (_let_27 true _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 2)) (CONG _let_23 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_5))) :args _let_20)) :args ((or _let_5 _let_13))) _let_22 :args (_let_5 true _let_13)) :args (false false _let_7 true _let_6 false _let_5)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cUnsatisfiable A)) (tptp.cUnsatisfiable B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cowlNothing A)) (tptp.cowlNothing B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cowlThing A)) (tptp.cowlThing B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cp1 A)) (tptp.cp1 B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rf A C)) (tptp.rf B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rf C A)) (tptp.rf C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvF A C)) (tptp.rinvF B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvF C A)) (tptp.rinvF C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvR A C)) (tptp.rinvR B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvR C A)) (tptp.rinvR C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rr A C)) (tptp.rr B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rr C A)) (tptp.rr C B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.xsd_integer A)) (tptp.xsd_integer B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.xsd_string A)) (tptp.xsd_string B))) (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))) (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))) _let_4 _let_3 _let_2 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvR X Y) (tptp.rr Y X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rr X Y) (tptp.rr Y Z)) (tptp.rr X Z))) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.54 )
% 0.22/0.55 % SZS output end Proof for KRS088+1
% 0.22/0.55 % cvc5---1.0.5 exiting
% 0.22/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------