TSTP Solution File: REL046-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : REL046-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 13:37:01 EDT 2023
% Result : Unsatisfiable 0.20s 0.55s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : REL046-1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n002.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 : Fri Aug 25 21:13:17 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.TmODTSN3zN/cvc5---1.0.5_10308.p...
% 0.20/0.49 ------- get file name : TPTP file name is REL046-1
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10308.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.55 % SZS status Unsatisfiable for REL046-1
% 0.20/0.55 % SZS output start Proof for REL046-1
% 0.20/0.56 (
% 0.20/0.56 (let ((_let_1 (tptp.join tptp.sk1 tptp.sk3))) (let ((_let_2 (tptp.join tptp.sk1 tptp.sk2))) (let ((_let_3 (or (not (= _let_2 tptp.sk2)) (not (= _let_1 tptp.sk3))))) (let ((_let_4 (tptp.meet tptp.sk2 tptp.sk3))) (let ((_let_5 (tptp.join tptp.sk1 _let_4))) (let ((_let_6 (= _let_5 _let_4))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.meet A B) (tptp.complement (tptp.join (tptp.complement A) (tptp.complement B))))))) (let ((_let_8 (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)))))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.join A (tptp.join B C)) (tptp.join (tptp.join A B) C))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.join A B) (tptp.join B A))))) (let ((_let_11 (tptp.complement tptp.sk3))) (let ((_let_12 (tptp.complement (tptp.join _let_11 tptp.sk2)))) (let ((_let_13 (tptp.complement tptp.sk2))) (let ((_let_14 (tptp.join _let_11 _let_13))) (let ((_let_15 (tptp.complement _let_14))) (let ((_let_16 (tptp.join _let_15 _let_12))) (let ((_let_17 (= (tptp.join tptp.sk1 _let_16) (tptp.join (tptp.join tptp.sk1 _let_15) _let_12)))) (let ((_let_18 (_let_9))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 (= tptp.sk3 _let_16))) (let ((_let_21 (tptp.join _let_13 _let_11))) (let ((_let_22 (= _let_21 _let_14))) (let ((_let_23 (tptp.complement _let_21))) (let ((_let_24 (= _let_4 _let_23))) (let ((_let_25 (= _let_4 _let_5))) (let ((_let_26 (= tptp.sk3 _let_1))) (let ((_let_27 (not _let_17))) (let ((_let_28 (_let_8))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 ((tptp.complement (tptp.join (tptp.complement A) (tptp.complement B)))))) (let ((_let_31 (_let_10))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (_let_7))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.sk2 tptp.sk3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.meet A B)))) :args _let_33)) _let_34 :args (_let_24 false _let_7)))) (let ((_let_36 (SYMM (ASSUME :args (_let_6))))) (let ((_let_37 (= tptp.sk2 _let_2))) (let ((_let_38 (not _let_26))) (let ((_let_39 (tptp.complement (tptp.join _let_13 tptp.sk3)))) (let ((_let_40 (tptp.join _let_23 _let_39))) (let ((_let_41 (= (tptp.join tptp.sk1 _let_40) (tptp.join (tptp.join tptp.sk1 _let_23) _let_39)))) (let ((_let_42 (= tptp.sk2 _let_40))) (let ((_let_43 ((tptp.join A (tptp.join B C))))) (let ((_let_44 (not _let_24))) (let ((_let_45 (not _let_25))) (let ((_let_46 (and _let_25 _let_24 _let_42 _let_41))) (let ((_let_47 (APPLY_UF tptp.join))) (let ((_let_48 (ASSUME :args (_let_42)))) (let ((_let_49 (REFL :args (tptp.sk1)))) (let ((_let_50 (ASSUME :args (_let_41)))) (let ((_let_51 (ASSUME :args (_let_24)))) (let ((_let_52 (SYMM _let_51))) (let ((_let_53 (SYMM _let_52))) (let ((_let_54 (SYMM _let_36))) (let ((_let_55 (not _let_20))) (let ((_let_56 (not _let_22))) (let ((_let_57 (and _let_25 _let_38 _let_24 _let_22 _let_20))) (let ((_let_58 (ASSUME :args (_let_38)))) (let ((_let_59 (ASSUME :args (_let_20)))) (let ((_let_60 (SYMM _let_59))) (let ((_let_61 (ASSUME :args (_let_22)))) (let ((_let_62 (TRANS _let_53 (CONG (SYMM (SYMM _let_61)) :args (APPLY_UF tptp.complement))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.sk1 _let_15 _let_12 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_57)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_59 _let_61 _let_51 _let_36 _let_58) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (TRANS (TRANS (CONG _let_49 (SYMM _let_62) :args _let_47) _let_54) _let_62) (REFL :args (_let_12)) :args _let_47) _let_60) (CONG _let_49 _let_60 :args _let_47) :args (=)) (FALSE_INTRO _let_58)) :args ((= _let_17 false)))) :args (_let_20 _let_22 _let_24 _let_25 _let_38))) :args (_let_25 _let_38 _let_24 _let_22 _let_20))) :args (true _let_57)) (CONG (REFL :args (_let_45)) (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_26))) (REFL :args (_let_44)) (REFL :args (_let_56)) (REFL :args (_let_55)) (REFL :args (_let_27)) :args (or))) :args ((or _let_26 _let_45 _let_44 _let_56 _let_55 _let_27))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_46)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_48 _let_50 _let_51 _let_36) (SCOPE (TRANS _let_48 (CONG (TRANS _let_52 (TRANS (SYMM _let_54) (CONG _let_49 _let_53 :args _let_47))) (REFL :args (_let_39)) :args _let_47) (SYMM _let_50) (CONG _let_49 (SYMM _let_48) :args _let_47)) :args (_let_42 _let_41 _let_24 _let_25))) :args (_let_25 _let_24 _let_42 _let_41))) :args (true _let_46)) :args ((or _let_37 _let_45 _let_44 (not _let_42) (not _let_41)))) _let_36 _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.sk2 tptp.sk3 QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_42 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.sk1 _let_23 _let_39 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_18)) _let_19 :args (_let_41 false _let_9)) :args (_let_37 false _let_25 false _let_24 false _let_42 false _let_41)) :args (_let_38 false _let_37)) _let_36 _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_13 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.join A B)))) :args _let_31)) _let_32 :args (_let_22 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.sk3 tptp.sk2 QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_20 false _let_8)) :args (_let_27 true _let_26 false _let_25 false _let_24 false _let_22 false _let_20)) _let_19 :args (false true _let_17 false _let_9)) :args (_let_10 _let_9 _let_8 _let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.composition A (tptp.composition B C)) (tptp.composition (tptp.composition A B) C))) (forall ((A $$unsorted)) (= (tptp.composition A tptp.one) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.composition (tptp.join A B) C) (tptp.join (tptp.composition A C) (tptp.composition B C)))) (forall ((A $$unsorted)) (= (tptp.converse (tptp.converse A)) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.converse (tptp.join A B)) (tptp.join (tptp.converse A) (tptp.converse B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.converse (tptp.composition A B)) (tptp.composition (tptp.converse B) (tptp.converse A)))) (forall ((A $$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_6 _let_3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.56 )
% 0.20/0.56 % SZS output end Proof for REL046-1
% 0.20/0.56 % cvc5---1.0.5 exiting
% 0.20/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------