TSTP Solution File: BOO003-4 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : BOO003-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 : Wed Aug 30 18:06:12 EDT 2023
% Result : Unsatisfiable 0.34s 0.57s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : BOO003-4 : TPTP v8.1.2. Released v1.1.0.
% 0.04/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n023.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 : Sun Aug 27 08:22:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Vm9oqsfK9M/cvc5---1.0.5_18810.p...
% 0.20/0.51 ------- get file name : TPTP file name is BOO003-4
% 0.20/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18810.smt2...
% 0.20/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.34/0.57 % SZS status Unsatisfiable for BOO003-4
% 0.34/0.57 % SZS output start Proof for BOO003-4
% 0.34/0.58 (
% 0.34/0.58 (let ((_let_1 (tptp.multiply tptp.a tptp.a))) (let ((_let_2 (not (= _let_1 tptp.a)))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.multiply X (tptp.inverse X)) tptp.additive_identity)))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.add X (tptp.inverse X)) tptp.multiplicative_identity)))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.multiply X tptp.multiplicative_identity) X)))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.add X tptp.additive_identity) X)))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add X (tptp.multiply Y Z)) (tptp.multiply (tptp.add X Y) (tptp.add X Z)))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (let ((_let_10 (tptp.add tptp.a tptp.additive_identity))) (let ((_let_11 (tptp.multiply tptp.additive_identity tptp.additive_identity))) (let ((_let_12 (= (tptp.add tptp.a _let_11) (tptp.multiply _let_10 _let_10)))) (let ((_let_13 (_let_8))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 (= tptp.a _let_10))) (let ((_let_16 (tptp.inverse tptp.additive_identity))) (let ((_let_17 (tptp.multiply tptp.additive_identity _let_16))) (let ((_let_18 (tptp.add tptp.additive_identity _let_16))) (let ((_let_19 (= (tptp.multiply tptp.additive_identity _let_18) (tptp.add _let_11 _let_17)))) (let ((_let_20 (tptp.add tptp.additive_identity _let_11))) (let ((_let_21 (= _let_20 (tptp.add _let_11 tptp.additive_identity)))) (let ((_let_22 (= tptp.additive_identity _let_17))) (let ((_let_23 (= tptp.multiplicative_identity _let_18))) (let ((_let_24 (= tptp.additive_identity (tptp.multiply tptp.additive_identity tptp.multiplicative_identity)))) (let ((_let_25 (tptp.add tptp.additive_identity tptp.additive_identity))) (let ((_let_26 (= tptp.additive_identity _let_25))) (let ((_let_27 (= _let_20 (tptp.multiply _let_25 _let_25)))) (let ((_let_28 (= tptp.a _let_1))) (let ((_let_29 (not _let_12))) (let ((_let_30 (forall ((X $$unsorted)) (= X (tptp.add X tptp.additive_identity))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_30))) (let ((_let_33 (_let_7))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (_let_9))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X (tptp.inverse X)))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (tptp.additive_identity QUANTIFIERS_INST_ENUM))) (let ((_let_40 (forall ((X $$unsorted)) (= tptp.multiplicative_identity (tptp.add X (tptp.inverse X)))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (forall ((X $$unsorted)) (= X (tptp.multiply X tptp.multiplicative_identity))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (SYMM (ASSUME :args (_let_2))))) (let ((_let_45 (not _let_28))) (let ((_let_46 (and _let_45 _let_27 _let_26 _let_24 _let_23 _let_22 _let_21 _let_19 _let_15))) (let ((_let_47 (APPLY_UF tptp.multiply))) (let ((_let_48 (ASSUME :args (_let_15)))) (let ((_let_49 (SYMM _let_48))) (let ((_let_50 (APPLY_UF tptp.add))) (let ((_let_51 (ASSUME :args (_let_24)))) (let ((_let_52 (ASSUME :args (_let_23)))) (let ((_let_53 (ASSUME :args (_let_19)))) (let ((_let_54 (ASSUME :args (_let_22)))) (let ((_let_55 (ASSUME :args (_let_21)))) (let ((_let_56 (ASSUME :args (_let_27)))) (let ((_let_57 (ASSUME :args (_let_26)))) (let ((_let_58 (SYMM (SYMM _let_57)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.a tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.add X Y) (tptp.add X Z))))) :args _let_13)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_46)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_48 _let_51 _let_52 _let_53 _let_54 _let_55 _let_56 _let_57 _let_44) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (REFL :args (tptp.a)) (TRANS (CONG _let_58 _let_58 :args _let_47) (SYMM _let_56) (SYMM (SYMM _let_55)) (CONG (REFL :args (_let_11)) (SYMM (SYMM _let_54)) :args _let_50) (SYMM _let_53) (CONG (REFL :args (tptp.additive_identity)) (SYMM _let_52) :args _let_47) (SYMM _let_51)) :args _let_50) _let_49) (CONG _let_49 _let_49 :args _let_47) :args (=)) (FALSE_INTRO _let_44))) :args (_let_15 _let_24 _let_23 _let_19 _let_22 _let_21 _let_27 _let_26 _let_45))) :args (_let_45 _let_27 _let_26 _let_24 _let_23 _let_22 _let_21 _let_19 _let_15))) :args (true _let_46)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_28))) (REFL :args ((not _let_27))) (REFL :args ((not _let_26))) (REFL :args ((not _let_24))) (REFL :args ((not _let_23))) (REFL :args ((not _let_22))) (REFL :args ((not _let_21))) (REFL :args ((not _let_19))) (REFL :args ((not _let_15))) (REFL :args (_let_29)) :args (or))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.additive_identity tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_ENUM)) :args _let_13)) _let_14 :args (_let_27 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args _let_39) :args _let_32)) _let_31 :args (_let_26 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args _let_39) :args (_let_42))) _let_43 :args (_let_24 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args _let_39) :args (_let_40))) _let_41 :args (_let_23 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args _let_39) :args (_let_37))) _let_38 :args (_let_22 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.additive_identity _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.add X Y)))) :args _let_35)) _let_36 :args (_let_21 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.additive_identity tptp.additive_identity _let_16 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.add Y Z))))) :args _let_33)) _let_34 :args (_let_19 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args _let_32)) _let_31 :args (_let_15 false _let_30)) :args (_let_29 true _let_28 false _let_27 false _let_26 false _let_24 false _let_23 false _let_22 false _let_21 false _let_19 false _let_15)) _let_14 :args (false true _let_12 false _let_8)) :args (_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X Y) (tptp.multiply Y X))) _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.34/0.58 )
% 0.34/0.58 % SZS output end Proof for BOO003-4
% 0.34/0.58 % cvc5---1.0.5 exiting
% 0.34/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------