TSTP Solution File: GRP702-12 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP702-12 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 00:27:14 EDT 2023
% Result : Unsatisfiable 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP702-12 : TPTP v8.1.2. Released v8.1.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n018.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 01:37:17 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.u9EJQmA4r6/cvc5---1.0.5_19903.p...
% 0.20/0.50 ------- get file name : TPTP file name is GRP702-12
% 0.20/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19903.smt2...
% 0.20/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54 % SZS status Unsatisfiable for GRP702-12
% 0.20/0.54 % SZS output start Proof for GRP702-12
% 0.20/0.55 (
% 0.20/0.55 (let ((_let_1 (= (tptp.mult tptp.x0 (tptp.mult tptp.op_d tptp.x1)) (tptp.mult (tptp.mult tptp.x0 tptp.op_d) tptp.x1)))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A $$unsorted)) (= tptp.op_d (tptp.ld A (tptp.mult tptp.op_c A)))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult A (tptp.mult tptp.op_c B)) (tptp.mult (tptp.mult A tptp.op_c) B))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult A (tptp.mult B tptp.op_c)) (tptp.mult (tptp.mult A B) tptp.op_c))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult tptp.op_c (tptp.mult A B)) (tptp.mult (tptp.mult tptp.op_c A) B))))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.mult A tptp.unit) A)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.rd (tptp.mult A B) B) A)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult (tptp.rd A B) B) A)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ld A (tptp.mult A B)) B)))) (let ((_let_11 (= (tptp.mult tptp.x0 (tptp.mult tptp.op_c tptp.x1)) (tptp.mult (tptp.mult tptp.x0 tptp.op_c) tptp.x1)))) (let ((_let_12 (_let_4))) (let ((_let_13 (ASSUME :args _let_12))) (let ((_let_14 (tptp.mult tptp.op_c tptp.unit))) (let ((_let_15 (tptp.mult _let_14 tptp.unit))) (let ((_let_16 (= _let_14 (tptp.rd _let_15 tptp.unit)))) (let ((_let_17 (= tptp.op_c (tptp.rd _let_14 tptp.unit)))) (let ((_let_18 (tptp.mult tptp.unit tptp.op_c))) (let ((_let_19 (tptp.mult tptp.unit _let_18))) (let ((_let_20 (= _let_18 (tptp.ld tptp.unit _let_19)))) (let ((_let_21 (tptp.mult tptp.unit _let_14))) (let ((_let_22 (= _let_14 (tptp.ld tptp.unit _let_21)))) (let ((_let_23 (tptp.mult tptp.unit tptp.unit))) (let ((_let_24 (tptp.mult _let_23 tptp.op_c))) (let ((_let_25 (= tptp.op_c (tptp.ld _let_23 _let_24)))) (let ((_let_26 (= tptp.op_d (tptp.ld tptp.unit _let_14)))) (let ((_let_27 (= _let_21 (tptp.mult _let_18 tptp.unit)))) (let ((_let_28 (= _let_19 _let_24))) (let ((_let_29 (= (tptp.mult tptp.op_c _let_23) _let_15))) (let ((_let_30 (= tptp.unit _let_23))) (let ((_let_31 (= tptp.op_c (tptp.mult (tptp.rd tptp.op_c tptp.unit) tptp.unit)))) (let ((_let_32 (not _let_11))) (let ((_let_33 (forall ((A $$unsorted) (B $$unsorted)) (= A (tptp.rd (tptp.mult A B) B))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (_let_33))) (let ((_let_36 ((tptp.mult A B)))) (let ((_let_37 (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_37))) (let ((_let_40 ((tptp.mult A B)))) (let ((_let_41 (_let_3))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (tptp.unit QUANTIFIERS_INST_ENUM))) (let ((_let_44 (tptp.unit tptp.unit QUANTIFIERS_INST_ENUM))) (let ((_let_45 (_let_5))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (_let_6))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (forall ((A $$unsorted) (B $$unsorted)) (= A (tptp.mult (tptp.rd A B) B))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (ASSUME :args (_let_2)))) (let ((_let_54 (and _let_2 _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_25 _let_22 _let_20 _let_17 _let_16))) (let ((_let_55 (APPLY_UF tptp.mult))) (let ((_let_56 (REFL :args (tptp.x1)))) (let ((_let_57 (ASSUME :args (_let_26)))) (let ((_let_58 (APPLY_UF tptp.ld))) (let ((_let_59 (ASSUME :args (_let_30)))) (let ((_let_60 (SYMM _let_59))) (let ((_let_61 (REFL :args (tptp.unit)))) (let ((_let_62 (TRANS (CONG _let_61 _let_60 :args _let_55) _let_60))) (let ((_let_63 (ASSUME :args (_let_25)))) (let ((_let_64 (ASSUME :args (_let_28)))) (let ((_let_65 (ASSUME :args (_let_20)))) (let ((_let_66 (CONG (TRANS (SYMM (SYMM _let_65)) (CONG _let_59 (SYMM (SYMM _let_64)) :args _let_58) (SYMM _let_63)) _let_62 :args _let_55))) (let ((_let_67 (CONG (REFL :args (_let_18)) (SYMM _let_62) :args _let_55))) (let ((_let_68 (ASSUME :args (_let_27)))) (let ((_let_69 (ASSUME :args (_let_22)))) (let ((_let_70 (CONG (REFL :args (tptp.op_c)) _let_60 :args _let_55))) (let ((_let_71 (ASSUME :args (_let_29)))) (let ((_let_72 (ASSUME :args (_let_31)))) (let ((_let_73 (CONG (SYMM _let_72) _let_61 :args _let_55))) (let ((_let_74 (CONG _let_73 _let_61 :args _let_55))) (let ((_let_75 (CONG (TRANS (TRANS _let_67 _let_66) (SYMM _let_73)) _let_61 :args _let_55))) (let ((_let_76 (SYMM _let_70))) (let ((_let_77 (ASSUME :args (_let_16)))) (let ((_let_78 (ASSUME :args (_let_17)))) (let ((_let_79 (TRANS (TRANS (SYMM (SYMM _let_78)) (CONG (TRANS _let_76 _let_71) _let_61 :args (APPLY_UF tptp.rd)) (SYMM _let_77) _let_76 _let_71 (SYMM _let_74) (SYMM _let_75)) (TRANS _let_75 _let_74 (SYMM _let_71) _let_70) (TRANS (SYMM (SYMM _let_69)) (CONG _let_61 (TRANS (SYMM (SYMM _let_68)) _let_67 _let_66) :args _let_58) (SYMM _let_57))))) (let ((_let_80 (REFL :args (tptp.x0)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (tptp.x0 tptp.x1 QUANTIFIERS_INST_E_MATCHING ((tptp.mult A (tptp.mult tptp.op_c B))))) :args _let_12)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_54)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_57 _let_63 _let_59 _let_64 _let_65 _let_68 _let_69 _let_71 _let_72 _let_77 _let_78 _let_53) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG _let_80 (CONG _let_79 _let_56 :args _let_55) :args _let_55) (CONG (CONG _let_80 _let_79 :args _let_55) _let_56 :args _let_55) :args (=)) (FALSE_INTRO _let_53))) :args (_let_26 _let_25 _let_30 _let_28 _let_20 _let_27 _let_22 _let_29 _let_31 _let_16 _let_17 _let_2))) :args (_let_2 _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_25 _let_22 _let_20 _let_17 _let_16))) :args (true _let_54)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args ((not _let_31))) (REFL :args ((not _let_30))) (REFL :args ((not _let_29))) (REFL :args ((not _let_28))) (REFL :args ((not _let_27))) (REFL :args ((not _let_26))) (REFL :args ((not _let_25))) (REFL :args ((not _let_22))) (REFL :args ((not _let_20))) (REFL :args ((not _let_17))) (REFL :args ((not _let_16))) (REFL :args (_let_32)) :args (or))) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.op_c tptp.unit QUANTIFIERS_INST_ENUM)) :args (_let_51))) _let_52 :args (_let_31 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args _let_43) :args (_let_49))) _let_50 :args (_let_30 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args _let_44) :args _let_47)) _let_48 :args (_let_29 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args _let_44) :args _let_45)) _let_46 :args (_let_28 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args _let_44) :args _let_12)) _let_13 :args (_let_27 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args _let_43) :args _let_41)) _let_42 :args (_let_26 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_23 tptp.op_c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39)) _let_38 :args (_let_25 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.unit _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39)) _let_38 :args (_let_22 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.unit _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39)) _let_38 :args (_let_20 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.op_c tptp.unit QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_35)) _let_34 :args (_let_17 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_14 tptp.unit QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_35)) _let_34 :args (_let_16 false _let_33)) :args (_let_32 true _let_1 false _let_31 false _let_30 false _let_29 false _let_28 false _let_27 false _let_26 false _let_25 false _let_22 false _let_20 false _let_17 false _let_16)) _let_13 :args (false true _let_11 false _let_4)) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult A (tptp.ld A B)) B)) _let_10 _let_9 _let_8 _let_7 (forall ((A $$unsorted)) (= (tptp.mult tptp.unit A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult A (tptp.mult B (tptp.mult B C))) (tptp.mult (tptp.mult (tptp.mult A B) B) C))) _let_6 _let_5 _let_4 _let_3 (forall ((A $$unsorted) (B $$unsorted)) (= tptp.op_e (tptp.mult (tptp.mult (tptp.rd tptp.op_c (tptp.mult A B)) B) A))) (forall ((A $$unsorted) (B $$unsorted)) (= tptp.op_f (tptp.mult A (tptp.mult B (tptp.ld (tptp.mult A B) tptp.op_c))))) _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.55 )
% 0.20/0.55 % SZS output end Proof for GRP702-12
% 0.20/0.55 % cvc5---1.0.5 exiting
% 0.20/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------