TSTP Solution File: GRP481-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP481-1 : TPTP v8.1.2. Released v2.6.0.
% 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 00:26:10 EDT 2023
% Result : Unsatisfiable 0.21s 0.54s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP481-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 21:02:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.tNuLw0dViE/cvc5---1.0.5_5513.p...
% 0.21/0.49 ------- get file name : TPTP file name is GRP481-1
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5513.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.54 % SZS status Unsatisfiable for GRP481-1
% 0.21/0.54 % SZS output start Proof for GRP481-1
% 0.21/0.54 (
% 0.21/0.54 (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 $$unsorted) (D $$unsorted)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide A (tptp.double_divide B tptp.identity)) (tptp.double_divide (tptp.double_divide C (tptp.double_divide D (tptp.double_divide D tptp.identity))) (tptp.double_divide A tptp.identity))) B) C)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= C (tptp.double_divide (tptp.double_divide (tptp.double_divide A (tptp.double_divide B tptp.identity)) (tptp.double_divide (tptp.double_divide C (tptp.double_divide D (tptp.double_divide D tptp.identity))) (tptp.double_divide A tptp.identity))) B))))) (let ((_let_9 (tptp.double_divide tptp.a1 _let_1))) (let ((_let_10 (tptp.double_divide _let_9 tptp.identity))) (let ((_let_11 (tptp.double_divide _let_10 tptp.identity))) (let ((_let_12 (tptp.double_divide _let_11 tptp.identity))) (let ((_let_13 (tptp.double_divide (tptp.double_divide tptp.a1 tptp.identity) tptp.identity))) (let ((_let_14 (tptp.double_divide _let_13 tptp.identity))) (let ((_let_15 (= _let_10 (tptp.double_divide (tptp.double_divide (tptp.double_divide _let_11 _let_12) (tptp.double_divide (tptp.double_divide _let_10 (tptp.double_divide _let_13 _let_14)) _let_12)) _let_11)))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (tptp.inverse _let_13))) (let ((_let_18 (= tptp.identity (tptp.double_divide _let_13 _let_17)))) (let ((_let_19 (tptp.inverse _let_11))) (let ((_let_20 (= tptp.identity (tptp.double_divide _let_11 _let_19)))) (let ((_let_21 (tptp.inverse _let_10))) (let ((_let_22 (= tptp.identity (tptp.double_divide _let_10 _let_21)))) (let ((_let_23 (= _let_14 _let_17))) (let ((_let_24 (= _let_12 _let_19))) (let ((_let_25 (= _let_11 _let_21))) (let ((_let_26 (= tptp.identity _let_9))) (let ((_let_27 (= _let_2 _let_10))) (let ((_let_28 (= tptp.identity _let_2))) (let ((_let_29 (not _let_15))) (let ((_let_30 (_let_4))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 ((tptp.inverse A)))) (let ((_let_33 (_let_5))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 ((tptp.double_divide A tptp.identity)))) (let ((_let_36 (_let_6))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (SYMM (ASSUME :args (_let_3))))) (let ((_let_39 (not _let_28))) (let ((_let_40 (and _let_39 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_20 _let_18))) (let ((_let_41 (ASSUME :args (_let_27)))) (let ((_let_42 (ASSUME :args (_let_22)))) (let ((_let_43 (APPLY_UF tptp.double_divide))) (let ((_let_44 (ASSUME :args (_let_25)))) (let ((_let_45 (ASSUME :args (_let_20)))) (let ((_let_46 (SYMM _let_45))) (let ((_let_47 (ASSUME :args (_let_24)))) (let ((_let_48 (SYMM (SYMM _let_47)))) (let ((_let_49 (ASSUME :args (_let_18)))) (let ((_let_50 (ASSUME :args (_let_23)))) (let ((_let_51 (ASSUME :args (_let_26)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_11 _let_11 _let_10 _let_13 QUANTIFIERS_INST_E_MATCHING ((tptp.double_divide (tptp.double_divide C (tptp.double_divide D (tptp.double_divide D tptp.identity))) (tptp.double_divide A tptp.identity)) (tptp.double_divide A (tptp.double_divide B tptp.identity))))) :args (_let_8))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_40)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_42 _let_51 _let_45 _let_47 _let_49 _let_50 _let_44 _let_38 _let_41) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (CONG (TRANS (CONG (REFL :args (_let_11)) _let_48 :args _let_43) _let_46 (SYMM (SYMM _let_51))) (TRANS (CONG (CONG (REFL :args (_let_10)) (TRANS (CONG (REFL :args (_let_13)) (SYMM (SYMM _let_50)) :args _let_43) (SYMM _let_49)) :args _let_43) _let_48 :args _let_43) _let_46) :args _let_43) (SYMM (SYMM _let_44)) :args _let_43) (SYMM _let_42)) (SYMM _let_41) :args (=)) (FALSE_INTRO _let_38)) :args ((= _let_15 false)))) :args (_let_22 _let_26 _let_20 _let_24 _let_18 _let_23 _let_25 _let_39 _let_27))) :args (_let_39 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_20 _let_18))) :args (true _let_40)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_28))) (REFL :args ((not _let_27))) (REFL :args ((not _let_26))) (REFL :args ((not _let_25))) (REFL :args ((not _let_24))) (REFL :args ((not _let_23))) (REFL :args ((not _let_22))) (REFL :args ((not _let_20))) (REFL :args ((not _let_18))) (REFL :args (_let_29)) :args (or))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_1 tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply A B)))) :args _let_36)) _let_37 :args (_let_27 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_30)) _let_31 :args (_let_26 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_33))) _let_34 :args (_let_25 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_33))) _let_34 :args (_let_24 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_33))) _let_34 :args (_let_23 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_30)) _let_31 :args (_let_22 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_30)) _let_31 :args (_let_20 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_30)) _let_31 :args (_let_18 false _let_4)) :args (_let_29 true _let_28 false _let_27 false _let_26 false _let_25 false _let_24 false _let_23 false _let_22 false _let_20 false _let_18)) _let_16 :args (false true _let_15 false _let_8)) :args (_let_7 _let_6 _let_5 _let_4 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for GRP481-1
% 0.21/0.55 % cvc5---1.0.5 exiting
% 0.21/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------