TSTP Solution File: GRP493-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP493-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 00:26:13 EDT 2023
% Result : Unsatisfiable 0.20s 0.53s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP493-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 02:28:07 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.1IkuUIMrDc/cvc5---1.0.5_27528.p...
% 0.20/0.49 ------- get file name : TPTP file name is GRP493-1
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27528.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53 % SZS status Unsatisfiable for GRP493-1
% 0.20/0.53 % SZS output start Proof for GRP493-1
% 0.20/0.53 (
% 0.20/0.53 (let ((_let_1 (tptp.inverse tptp.a1))) (let ((_let_2 (tptp.multiply _let_1 tptp.a1))) (let ((_let_3 (not (= _let_2 tptp.identity)))) (let ((_let_4 (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))))) (let ((_let_5 (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.double_divide (tptp.double_divide tptp.identity A) (tptp.double_divide (tptp.double_divide (tptp.double_divide B C) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide A C))) B)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.double_divide (tptp.double_divide tptp.identity A) (tptp.double_divide (tptp.double_divide (tptp.double_divide B C) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide A C))))))) (let ((_let_9 (tptp.double_divide tptp.identity tptp.identity))) (let ((_let_10 (= _let_9 (tptp.double_divide _let_9 (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_9 tptp.identity) _let_9) _let_9))))) (let ((_let_11 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (= tptp.identity (tptp.double_divide _let_9 (tptp.double_divide (tptp.double_divide _let_9 _let_9) _let_9))))) (let ((_let_13 (tptp.inverse tptp.identity))) (let ((_let_14 (tptp.double_divide tptp.identity _let_13))) (let ((_let_15 (= tptp.identity (tptp.double_divide _let_9 (tptp.double_divide (tptp.double_divide _let_14 _let_9) _let_14))))) (let ((_let_16 (= tptp.identity _let_14))) (let ((_let_17 (= _let_9 _let_13))) (let ((_let_18 (tptp.double_divide tptp.a1 _let_1))) (let ((_let_19 (= tptp.identity _let_18))) (let ((_let_20 (= _let_2 (tptp.double_divide _let_18 tptp.identity)))) (let ((_let_21 (= tptp.identity _let_2))) (let ((_let_22 (not _let_10))) (let ((_let_23 (_let_8))) (let ((_let_24 ((tptp.double_divide (tptp.double_divide (tptp.double_divide B C) _let_9) (tptp.double_divide A C))))) (let ((_let_25 (_let_4))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 ((tptp.inverse A)))) (let ((_let_28 (_let_5))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (_let_6))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (SYMM (ASSUME :args (_let_3))))) (let ((_let_33 (not _let_21))) (let ((_let_34 (and _let_33 _let_20 _let_19 _let_17 _let_16 _let_15 _let_12))) (let ((_let_35 (ASSUME :args (_let_20)))) (let ((_let_36 (APPLY_UF tptp.double_divide))) (let ((_let_37 (ASSUME :args (_let_19)))) (let ((_let_38 (CONG (SYMM _let_37) (REFL :args (tptp.identity)) :args _let_36))) (let ((_let_39 (ASSUME :args (_let_12)))) (let ((_let_40 (SYMM _let_39))) (let ((_let_41 (ASSUME :args (_let_17)))) (let ((_let_42 (ASSUME :args (_let_16)))) (let ((_let_43 (SYMM _let_42))) (let ((_let_44 (REFL :args (_let_9)))) (let ((_let_45 (ASSUME :args (_let_15)))) (let ((_let_46 (CONG _let_44 (TRANS _let_42 (CONG (TRANS (SYMM (SYMM _let_45)) (CONG _let_44 (TRANS (CONG (TRANS (TRANS (CONG _let_43 _let_41 :args _let_36) _let_43) _let_37) _let_43 :args _let_36) _let_38) :args _let_36)) (SYMM _let_41) :args _let_36)) :args _let_36))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_11 :args (tptp.identity _let_9 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_24)) :args _let_23)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_34)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_39 _let_37 _let_42 _let_41 _let_45 _let_32 _let_35) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG _let_44 (TRANS (CONG (TRANS (CONG (TRANS _let_46 _let_40) _let_41 :args _let_36) _let_43) _let_41 :args _let_36) _let_43) :args _let_36) _let_46 _let_40) (TRANS (SYMM _let_38) (SYMM _let_35)) :args (=)) (FALSE_INTRO _let_32)) :args ((= _let_10 false)))) :args (_let_12 _let_19 _let_16 _let_17 _let_15 _let_33 _let_20))) :args (_let_33 _let_20 _let_19 _let_17 _let_16 _let_15 _let_12))) :args (true _let_34)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_21))) (REFL :args ((not _let_20))) (REFL :args ((not _let_19))) (REFL :args ((not _let_17))) (REFL :args ((not _let_16))) (REFL :args ((not _let_15))) (REFL :args ((not _let_12))) (REFL :args (_let_22)) :args (or))) _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_1 tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply A B)))) :args _let_30)) _let_31 :args (_let_20 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_25)) _let_26 :args (_let_19 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.double_divide A tptp.identity)))) :args _let_28))) _let_29 :args (_let_17 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_25)) _let_26 :args (_let_16 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_11 :args (tptp.identity tptp.identity _let_13 QUANTIFIERS_INST_E_MATCHING _let_24)) :args _let_23)) _let_11 :args (_let_15 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_11 :args (tptp.identity tptp.identity tptp.identity QUANTIFIERS_INST_E_MATCHING _let_24)) :args _let_23)) _let_11 :args (_let_12 false _let_8)) :args (_let_22 true _let_21 false _let_20 false _let_19 false _let_17 false _let_16 false _let_15 false _let_12)) _let_11 :args (false true _let_10 false _let_8)) :args (_let_7 _let_6 _let_5 _let_4 _let_3)))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.53 )
% 0.20/0.53 % SZS output end Proof for GRP493-1
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------