TSTP Solution File: SYN332+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN332+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : Fri Sep 1 02:02:31 EDT 2023
% Result : Theorem 1.06s 1.34s
% Output : Proof 1.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN332+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.09 % Command : do_cvc5 %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Sat Aug 26 20:53:29 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.13/0.39 %----Proving TF0_NAR, FOF, or CNF
% 1.06/1.34 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.KhtZXsB2iw/cvc5---1.0.5_9390.p...
% 1.06/1.34 ------- get file name : TPTP file name is SYN332+1
% 1.06/1.34 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9390.smt2...
% 1.06/1.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.06/1.34 % SZS status Theorem for SYN332+1
% 1.06/1.34 % SZS output start Proof for SYN332+1
% 1.06/1.34 (
% 1.06/1.34 (let ((_let_1 (not (exists ((X $$unsorted) (Y $$unsorted)) (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f Y X))) (let ((_let_2 (tptp.big_f X Y))) (let ((_let_3 (tptp.big_f X Z))) (=> (xor (and _let_2 _let_1) _let_3) (=> (= _let_3 (tptp.big_f Z X)) (=> (= _let_3 (tptp.big_f Y Z)) (=> (= (=> _let_1 _let_2) (tptp.big_f Z Z)) (= (= _let_2 _let_1) (tptp.big_f Z Y)))))))))))))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_5 (= _let_4 _let_3))) (let ((_let_6 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_7 (= _let_6 _let_2))) (let ((_let_8 (or _let_7 _let_5 (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_85)) _let_4))) (let ((_let_9 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 Z))) (or (= (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) _let_2) (= _let_1 (not _let_2)) (not (tptp.big_f Z Z)) _let_1)))))) (let ((_let_10 (not _let_8))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f X Y))) (let ((_let_2 (tptp.big_f Y X))) (let ((_let_3 (tptp.big_f X Z))) (let ((_let_4 (not _let_3))) (or (= _let_3 (and _let_1 _let_2)) (= (tptp.big_f Z X) _let_4) (= (tptp.big_f Y Z) _let_4) (= (tptp.big_f Z Z) (and _let_2 (not _let_1))) (= (tptp.big_f Z Y) (= _let_2 _let_1)))))))))))) (let ((_let_12 (not _let_9))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (_let_11))) (let ((_let_15 (or))) (let ((_let_16 (_let_12))) (let ((_let_17 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_16)) :args _let_16)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_9))) (REFL :args (_let_10)) :args _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_ENUM)) :args _let_14))) _let_13 :args (_let_12 false _let_11)) :args (_let_10 true _let_9)))) (let ((_let_18 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_21 (and _let_20 _let_19))) (let ((_let_22 (= _let_21 _let_6))) (let ((_let_23 (tptp.big_f e_$$unsorted_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_24 (not _let_23))) (let ((_let_25 (= _let_24 _let_20))) (let ((_let_26 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 e_$$unsorted_2))) (let ((_let_27 (tptp.big_f e_$$unsorted_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_28 (= _let_27 _let_26))) (let ((_let_29 (= _let_28 _let_18))) (let ((_let_30 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_31 (not _let_27))) (let ((_let_32 (and _let_26 _let_31))) (let ((_let_33 (= (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 e_$$unsorted_2) _let_24))) (let ((_let_34 (and _let_27 _let_26))) (let ((_let_35 (= _let_34 _let_23))) (let ((_let_36 (or _let_35 _let_33 _let_25 (= _let_32 _let_30) _let_29))) (let ((_let_37 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 e_$$unsorted_2))) (let ((_let_2 (tptp.big_f e_$$unsorted_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_3 (tptp.big_f e_$$unsorted_2 Z))) (let ((_let_4 (not _let_3))) (or (= _let_3 (and _let_2 _let_1)) (= (tptp.big_f Z e_$$unsorted_2) _let_4) (= _let_4 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Z)) (= (tptp.big_f Z Z) (and _let_1 (not _let_2))) (= (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (= _let_2 _let_1)))))))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (not _let_37))) (let ((_let_40 (_let_39))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_40)) :args _let_40) (REWRITE :args ((=> _let_39 (not (or (= _let_23 _let_34) _let_33 _let_25 (= _let_30 _let_32) (= _let_18 _let_28)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_37))) (REFL :args (_let_38)) :args _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_13 :args (e_$$unsorted_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_14))) _let_13 :args (_let_39 false _let_11)) :args (_let_38 true _let_37)))) (let ((_let_42 (not _let_34))) (let ((_let_43 (= _let_26 _let_31))) (let ((_let_44 (or (= (tptp.big_f e_$$unsorted_2 e_$$unsorted_2) _let_27) _let_43 (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) _let_26))) (let ((_let_45 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f Z e_$$unsorted_2))) (let ((_let_2 (tptp.big_f e_$$unsorted_2 Z))) (or (= (tptp.big_f e_$$unsorted_2 e_$$unsorted_2) _let_2) (= _let_1 (not _let_2)) (not (tptp.big_f Z Z)) _let_1)))))) (let ((_let_46 (not _let_44))) (let ((_let_47 (not _let_45))) (let ((_let_48 (_let_47))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_48)) :args _let_48)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_45))) (REFL :args (_let_46)) :args _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_13 :args (e_$$unsorted_2 e_$$unsorted_2 QUANTIFIERS_INST_ENUM)) :args _let_14))) _let_13 :args (_let_47 false _let_11)) :args (_let_46 true _let_45)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_44 3)) _let_49 :args ((not _let_26) true _let_44)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_43)) :args ((or _let_26 _let_31 _let_43))) _let_50 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_44 1)) _let_49 :args ((not _let_43) true _let_44)) :args (_let_31 true _let_26 true _let_43)))) (let ((_let_52 (not _let_20))) (let ((_let_53 (_let_21))) (let ((_let_54 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_55 (= _let_20 _let_18))) (let ((_let_56 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_57 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_58 (not _let_57))) (let ((_let_59 (= (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) _let_58))) (let ((_let_60 (and _let_18 _let_20))) (let ((_let_61 (or (= _let_60 _let_57) _let_59 (= _let_58 _let_56) _let_22 (= _let_55 _let_54)))) (let ((_let_62 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_3 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Z))) (let ((_let_4 (not _let_3))) (or (= _let_3 (and _let_1 _let_2)) (= (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) _let_4) (= (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Z) _let_4) (= (tptp.big_f Z Z) (and _let_2 (not _let_1))) (= (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (= _let_2 _let_1)))))))))) (let ((_let_63 (not _let_61))) (let ((_let_64 (not _let_62))) (let ((_let_65 (_let_64))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_5)) :args ((or _let_4 _let_3 _let_5))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_7)) :args ((or _let_6 _let_2 _let_7))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args (_let_22)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_61 3)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_65)) :args _let_65) (REWRITE :args ((=> _let_64 (not (or (= _let_57 _let_60) _let_59 (= _let_56 _let_58) (= _let_6 _let_21) (= _let_54 _let_55)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_62))) (REFL :args (_let_63)) :args _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_14)) _let_13 :args (_let_64 false _let_11)) :args (_let_63 true _let_62)) :args ((not _let_22) true _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_53) (CONG (REFL :args _let_53) (REFL :args (_let_52)) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_15)) :args ((or _let_18 _let_52 _let_21))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args (_let_29)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_36 4)) _let_41 :args ((not _let_29) true _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_28)) :args ((or _let_27 _let_26 _let_28))) _let_51 _let_50 :args (_let_28 true _let_27 true _let_26)) :args (_let_19 true _let_29 false _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_25)) :args ((or _let_24 _let_20 _let_25))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_35)) :args ((or _let_34 _let_23 _let_35))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_34 0)) :args ((or _let_27 _let_42))) _let_51 :args (_let_42 true _let_27)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_36 0)) _let_41 :args ((not _let_35) true _let_36)) :args (_let_23 true _let_34 true _let_35)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_36 2)) _let_41 :args ((not _let_25) true _let_36)) :args (_let_20 false _let_23 true _let_25)) :args (_let_21 true _let_18 false _let_20)) :args ((not _let_6) true _let_22 false _let_21)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_8 0)) _let_17 :args ((not _let_7) true _let_8)) :args (_let_2 true _let_6 true _let_7)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_8 3)) _let_17 :args ((not _let_4) true _let_8)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_8 1)) _let_17 :args ((not _let_5) true _let_8)) :args (false false _let_2 true _let_4 true _let_5)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.06/1.35 )
% 1.06/1.35 % SZS output end Proof for SYN332+1
% 1.06/1.35 % cvc5---1.0.5 exiting
% 1.06/1.35 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------