TSTP Solution File: SYN056+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN056+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 02:01:08 EDT 2023
% Result : Theorem 0.22s 0.53s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN056+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 19:18:27 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.53 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.cDGRqxNQzs/cvc5---1.0.5_5182.p...
% 0.22/0.53 ------- get file name : TPTP file name is SYN056+1
% 0.22/0.53 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5182.smt2...
% 0.22/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.53 % SZS status Theorem for SYN056+1
% 0.22/0.53 % SZS output start Proof for SYN056+1
% 0.22/0.53 (
% 0.22/0.53 (let ((_let_1 (not (= (forall ((X $$unsorted)) (=> (tptp.big_p X) (tptp.big_r X))) (forall ((Y $$unsorted)) (=> (tptp.big_q Y) (tptp.big_s Y))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.big_p X) (tptp.big_q Y)) (= (tptp.big_r X) (tptp.big_s Y)))))) (let ((_let_3 (= (exists ((X $$unsorted)) (tptp.big_p X)) (exists ((Y $$unsorted)) (tptp.big_q Y))))) (let ((_let_4 (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_5 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_6 (not _let_5))) (let ((_let_7 (or _let_6 _let_4))) (let ((_let_8 (tptp.big_s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_9 (tptp.big_q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8))) (let ((_let_12 (forall ((X $$unsorted)) (or (not (tptp.big_p X)) (tptp.big_r X))))) (let ((_let_13 (not _let_7))) (let ((_let_14 (forall ((Y $$unsorted)) (or (not (tptp.big_q Y)) (tptp.big_s Y))))) (let ((_let_15 (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15))) (let ((_let_19 (tptp.big_s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_20 (tptp.big_q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19))) (let ((_let_23 (forall ((X $$unsorted)) (not (tptp.big_p X))))) (let ((_let_24 (forall ((Y $$unsorted)) (not (tptp.big_q Y))))) (let ((_let_25 (not _let_12))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (_let_12))) (let ((_let_28 (or))) (let ((_let_29 (not _let_14))) (let ((_let_30 (_let_29))) (let ((_let_31 (= _let_19 _let_15))) (let ((_let_32 (or _let_17 _let_21 _let_31))) (let ((_let_33 (not _let_18))) (let ((_let_34 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.big_p X)) (not (tptp.big_q Y)) (= (tptp.big_r X) (tptp.big_s Y)))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (_let_34))) (let ((_let_37 ((not (= (tptp.big_p X) false)) (tptp.big_s Y)))) (let ((_let_38 (not _let_23))) (let ((_let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_23))))) (let ((_let_40 (_let_38))) (let ((_let_41 (not _let_24))) (let ((_let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_24))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (_let_24))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_44) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_q Y) false))))) :args _let_44)) (EQ_RESOLVE (EQUIV_ELIM2 _let_43) (CONG (REFL :args _let_40) _let_42 :args _let_28)) (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_40)) :args _let_40) (REWRITE :args ((=> _let_38 (not _let_17)))))) (CONG _let_39 (REFL :args (_let_16)) :args _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_31)) :args ((or _let_19 (not _let_15) (not _let_31)))) (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_17 _let_15 _let_33))) (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_17 _let_21 _let_31 (not _let_32)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_36))) _let_35 :args (_let_32 false _let_34)) :args ((or _let_17 _let_21 _let_19 _let_33) false _let_15 false _let_31 false _let_32)) (CNF_OR_NEG :args (_let_22 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 0)) (CONG (REFL :args (_let_22)) (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_28)) :args ((or _let_20 _let_22))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_30)) :args _let_30)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_14))) (REFL :args ((not _let_22))) :args _let_28)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_27) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_p X) false))))) :args _let_27)) (NOT_EQUIV_ELIM2 _let_26) :args (_let_25 false _let_24 false _let_23 true _let_16 true _let_19 false _let_20 true _let_22 false _let_18 true _let_14)))) (let ((_let_46 (_let_25))) (let ((_let_47 (_let_14))) (let ((_let_48 (= _let_8 _let_4))) (let ((_let_49 (or _let_6 _let_10 _let_48))) (let ((_let_50 (not _let_11))) (let ((_let_51 (_let_23))) (let ((_let_52 (_let_41))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_48)) :args ((or (not _let_8) _let_4 (not _let_48)))) (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_10 _let_6 _let_48 (not _let_49)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_36))) _let_35 :args (_let_49 false _let_34)) (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_10 _let_8 _let_50))) (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_52)) :args _let_52) (REWRITE :args ((=> _let_41 (not _let_10)))))) (CONG _let_42 (REFL :args (_let_9)) :args _let_28)) (EQ_RESOLVE (EQUIV_ELIM1 _let_43) (CONG _let_39 (REFL :args _let_52) :args _let_28)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_51) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_p X) false))))) :args _let_51)) (CNF_OR_NEG :args (_let_7 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_7 0)) (CONG (REFL :args (_let_7)) (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) :args _let_28)) :args ((or _let_5 _let_7))) :args ((or _let_7 _let_50) false _let_48 false _let_49 false _let_8 false _let_9 true _let_24 true _let_23 true _let_4 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_q Y) false))))) :args _let_47)) (MACRO_RESOLUTION_TRUST (NOT_EQUIV_ELIM1 _let_26) _let_45 :args (_let_14 true _let_12)) :args (_let_11 false _let_14)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_46)) :args _let_46)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_12))) (REFL :args (_let_13)) :args _let_28)) _let_45 :args (_let_13 true _let_12)) :args (false false _let_11 true _let_7)) :args (_let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.54 )
% 0.22/0.54 % SZS output end Proof for SYN056+1
% 0.22/0.54 % cvc5---1.0.5 exiting
% 0.22/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------