TSTP Solution File: REL009-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : REL009-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n032.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 13:36:37 EDT 2023

% Result   : Unsatisfiable 22.60s 22.83s
% Output   : Proof 22.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : REL009-1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10  % Command    : do_cvc5 %s %d
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Fri Aug 25 19:30:43 EDT 2023
% 0.09/0.29  % CPUTime    : 
% 0.13/0.38  %----Proving TF0_NAR, FOF, or CNF
% 0.13/0.39  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.cYYbcwCGXe/cvc5---1.0.5_20036.p...
% 0.13/0.39  ------- get file name : TPTP file name is REL009-1
% 0.13/0.39  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_20036.smt2...
% 0.13/0.39  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.41/10.67  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.52/15.70  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.46/20.73  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 22.60/22.83  % SZS status Unsatisfiable for REL009-1
% 22.60/22.83  % SZS output start Proof for REL009-1
% 22.60/22.83  (
% 22.60/22.83  (let ((_let_1 (tptp.composition tptp.sk3 tptp.sk2))) (let ((_let_2 (tptp.composition tptp.sk3 tptp.sk1))) (let ((_let_3 (tptp.join _let_2 _let_1))) (let ((_let_4 (tptp.composition tptp.sk2 tptp.sk3))) (let ((_let_5 (tptp.join (tptp.composition tptp.sk1 tptp.sk3) _let_4))) (let ((_let_6 (or (not (= _let_5 _let_4)) (not (= _let_3 _let_1))))) (let ((_let_7 (tptp.join tptp.sk1 tptp.sk2))) (let ((_let_8 (= _let_7 tptp.sk2))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.converse (tptp.composition A B)) (tptp.composition (tptp.converse B) (tptp.converse A)))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.converse (tptp.join A B)) (tptp.join (tptp.converse A) (tptp.converse B)))))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.converse (tptp.converse A)) A)))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.composition (tptp.join A B) C) (tptp.join (tptp.composition A C) (tptp.composition B C)))))) (let ((_let_13 (= tptp.sk2 _let_7))) (let ((_let_14 (= _let_1 _let_3))) (let ((_let_15 (tptp.converse tptp.sk2))) (let ((_let_16 (tptp.converse _let_15))) (let ((_let_17 (= tptp.sk2 _let_16))) (let ((_let_18 (tptp.converse tptp.sk3))) (let ((_let_19 (tptp.converse _let_18))) (let ((_let_20 (= tptp.sk3 _let_19))) (let ((_let_21 (tptp.composition _let_15 _let_18))) (let ((_let_22 (tptp.converse _let_1))) (let ((_let_23 (= _let_22 _let_21))) (let ((_let_24 (= (tptp.converse _let_21) (tptp.composition _let_19 _let_16)))) (let ((_let_25 (tptp.converse _let_2))) (let ((_let_26 (tptp.converse _let_25))) (let ((_let_27 (= (tptp.converse (tptp.join _let_25 _let_22)) (tptp.join _let_26 (tptp.converse _let_22))))) (let ((_let_28 (tptp.converse tptp.sk1))) (let ((_let_29 (tptp.join _let_28 _let_15))) (let ((_let_30 (= (tptp.converse _let_7) _let_29))) (let ((_let_31 (tptp.composition _let_28 _let_18))) (let ((_let_32 (= _let_25 _let_31))) (let ((_let_33 (= _let_2 _let_26))) (let ((_let_34 (= (tptp.composition _let_29 _let_18) (tptp.join _let_31 _let_21)))) (let ((_let_35 (SYMM (ASSUME :args (_let_8))))) (let ((_let_36 (= _let_4 _let_5))) (let ((_let_37 (= _let_5 (tptp.composition _let_7 tptp.sk3)))) (let ((_let_38 (_let_12))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (not _let_13))) (let ((_let_41 (and _let_13 _let_37))) (let ((_let_42 (ASSUME :args (_let_37)))) (let ((_let_43 (APPLY_UF tptp.composition))) (let ((_let_44 (SYMM (SYMM _let_35)))) (let ((_let_45 (forall ((A $$unsorted)) (= A (tptp.converse (tptp.converse A)))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (_let_45))) (let ((_let_48 (_let_9))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (_let_10))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (and _let_13 _let_17 _let_20 _let_23 _let_24 _let_27 _let_30 _let_32 _let_33 _let_34))) (let ((_let_53 (APPLY_UF tptp.join))) (let ((_let_54 (ASSUME :args (_let_17)))) (let ((_let_55 (ASSUME :args (_let_20)))) (let ((_let_56 (CONG (SYMM _let_55) (SYMM _let_54) :args _let_43))) (let ((_let_57 (ASSUME :args (_let_24)))) (let ((_let_58 (SYMM _let_57))) (let ((_let_59 (APPLY_UF tptp.converse))) (let ((_let_60 (ASSUME :args (_let_23)))) (let ((_let_61 (SYMM _let_60))) (let ((_let_62 (ASSUME :args (_let_33)))) (let ((_let_63 (ASSUME :args (_let_27)))) (let ((_let_64 (ASSUME :args (_let_32)))) (let ((_let_65 (ASSUME :args (_let_34)))) (let ((_let_66 (ASSUME :args (_let_30)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_52)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_62 _let_55 _let_54 _let_57 _let_60 _let_63 _let_64 _let_65 _let_66 _let_35) (SCOPE (TRANS (SYMM _let_56) _let_58 (CONG (TRANS (CONG (TRANS (CONG _let_44 :args _let_59) (SYMM (SYMM _let_66))) (REFL :args (_let_18)) :args _let_43) (SYMM (SYMM _let_65)) (CONG (SYMM _let_64) _let_61 :args _let_53)) :args _let_59) (SYMM (SYMM _let_63)) (CONG (SYMM _let_62) (TRANS (CONG (SYMM _let_61) :args _let_59) (SYMM _let_58) _let_56) :args _let_53)) :args (_let_33 _let_20 _let_17 _let_24 _let_23 _let_27 _let_32 _let_34 _let_30 _let_13))) :args (_let_13 _let_17 _let_20 _let_23 _let_24 _let_27 _let_30 _let_32 _let_33 _let_34))) :args (true _let_52)) :args ((or _let_14 _let_40 (not _let_17) (not _let_20) (not _let_23) (not _let_24) (not _let_27) (not _let_30) (not _let_32) (not _let_33) (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_28 _let_15 _let_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_38)) _let_39 :args (_let_34 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_47)) _let_46 :args (_let_33 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.sk3 tptp.sk1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_48)) _let_49 :args (_let_32 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.sk1 tptp.sk2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_50)) _let_51 :args (_let_30 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_25 _let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_50)) _let_51 :args (_let_27 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_15 _let_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_48)) _let_49 :args (_let_24 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.sk3 tptp.sk2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_48)) _let_49 :args (_let_23 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.sk3 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_47)) _let_46 :args (_let_20 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.sk2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_47)) _let_46 :args (_let_17 false _let_45)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_41)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_42 _let_35) (SCOPE (TRANS (CONG _let_44 (REFL :args (tptp.sk3)) :args _let_43) (SYMM _let_42)) :args (_let_37 _let_13))) :args (_let_13 _let_37))) :args (true _let_41)) :args ((or _let_36 _let_40 (not _let_37)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.sk1 tptp.sk2 tptp.sk3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_38))) _let_39 :args (_let_37 false _let_12)) _let_35 :args (_let_36 false _let_37 false _let_13)) :args ((not _let_14) false _let_36)) _let_35 :args (false false _let_34 false _let_33 false _let_32 false _let_30 false _let_27 false _let_24 false _let_23 false _let_20 false _let_17 true _let_14 false _let_13)) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.join A B) (tptp.join B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.join A (tptp.join B C)) (tptp.join (tptp.join A B) C))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.complement A))) (= A (tptp.join (tptp.complement (tptp.join _let_1 (tptp.complement B))) (tptp.complement (tptp.join _let_1 B)))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.meet A B) (tptp.complement (tptp.join (tptp.complement A) (tptp.complement B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.composition A (tptp.composition B C)) (tptp.composition (tptp.composition A B) C))) (forall ((A $$unsorted)) (= (tptp.composition A tptp.one) A)) _let_12 _let_11 _let_10 _let_9 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.complement B))) (= (tptp.join (tptp.composition (tptp.converse A) (tptp.complement (tptp.composition A B))) _let_1) _let_1))) (forall ((A $$unsorted)) (= tptp.top (tptp.join A (tptp.complement A)))) (forall ((A $$unsorted)) (= tptp.zero (tptp.meet A (tptp.complement A)))) _let_8 _let_6)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 22.60/22.83  )
% 22.64/22.83  % SZS output end Proof for REL009-1
% 22.64/22.84  % cvc5---1.0.5 exiting
% 22.64/22.84  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------