TSTP Solution File: SYN365+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN365+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 02:02:46 EDT 2023
% Result : Theorem 0.19s 0.50s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN365+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 18:02:50 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.RClwcDxB01/cvc5---1.0.5_5896.p...
% 0.19/0.50 ------- get file name : TPTP file name is SYN365+1
% 0.19/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5896.smt2...
% 0.19/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.50 % SZS status Theorem for SYN365+1
% 0.19/0.50 % SZS output start Proof for SYN365+1
% 0.19/0.50 (
% 0.19/0.50 (let ((_let_1 (not (=> (and (forall ((X $$unsorted)) (exists ((Y $$unsorted)) (=> (tptp.big_p X) (and (tptp.big_r X (tptp.g (tptp.h Y))) (tptp.big_p Y))))) (forall ((W $$unsorted)) (=> (tptp.big_p W) (and (tptp.big_p (tptp.g W)) (tptp.big_p (tptp.h W)))))) (forall ((X $$unsorted)) (=> (tptp.big_p X) (exists ((Y $$unsorted)) (and (tptp.big_r X Y) (tptp.big_p Y))))))))) (let ((_let_2 (tptp.h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_3 (tptp.g _let_2))) (let ((_let_4 (tptp.big_p _let_3))) (let ((_let_5 (and _let_4 (tptp.big_p (tptp.h _let_2))))) (let ((_let_6 (tptp.big_p _let_2))) (let ((_let_7 (not _let_6))) (let ((_let_8 (or _let_7 _let_5))) (let ((_let_9 (forall ((W $$unsorted)) (or (not (tptp.big_p W)) (and (tptp.big_p (tptp.g W)) (tptp.big_p (tptp.h W))))))) (let ((_let_10 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_11 (NOT_IMPLIES_ELIM1 _let_10))) (let ((_let_12 (AND_ELIM _let_11 :args (1)))) (let ((_let_13 (_let_9))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 (and (tptp.big_p (tptp.g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) _let_6))) (let ((_let_16 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15))) (let ((_let_19 (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_17))) (let ((_let_22 (forall ((BOUND_VARIABLE_626 $$unsorted)) (or (not (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.g (tptp.h BOUND_VARIABLE_626)))) (not (tptp.big_p BOUND_VARIABLE_626)))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (not _let_22))) (let ((_let_25 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24))) (let ((_let_28 (forall ((X $$unsorted)) (or (not (tptp.big_p X)) (not (forall ((BOUND_VARIABLE_626 $$unsorted)) (or (not (tptp.big_r X (tptp.g (tptp.h BOUND_VARIABLE_626)))) (not (tptp.big_p BOUND_VARIABLE_626))))))))) (let ((_let_29 (_let_28))) (let ((_let_30 (forall ((Y $$unsorted)) (or (not (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (tptp.big_p Y)))))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_26 _let_31))) (let ((_let_33 (forall ((X $$unsorted)) (or (not (tptp.big_p X)) (not (forall ((Y $$unsorted)) (or (not (tptp.big_r X Y)) (not (tptp.big_p Y))))))))) (let ((_let_34 (not _let_32))) (let ((_let_35 (or))) (let ((_let_36 (not _let_33))) (let ((_let_37 (_let_36))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_37)) :args _let_37)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_33))) (REFL :args (_let_34)) :args _let_35)) (NOT_IMPLIES_ELIM2 _let_10) :args (_let_34 true _let_33)))) (let ((_let_39 (REFL :args (_let_32)))) (let ((_let_40 (_let_24))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_40)) :args _let_40)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_22))) (REFL :args (_let_23)) :args _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_24 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 0)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_35)) :args ((or _let_25 _let_32))) _let_38 :args (_let_25 true _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_29) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_p X) false))))) :args _let_29)) (AND_ELIM _let_11 :args (0)) :args (_let_27 false _let_28)) :args (_let_24 false _let_25 false _let_27)) :args (_let_23 true _let_22)))) (let ((_let_42 (REFL :args (_let_21)))) (let ((_let_43 (not _let_5))) (let ((_let_44 (not _let_4))) (let ((_let_45 (or _let_20 _let_44))) (let ((_let_46 (_let_30))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_7 _let_5 (not _let_8)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_5 0)) :args ((or _let_4 _let_43))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_20 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_35)) :args ((or _let_19 _let_21))) _let_41 :args (_let_19 true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_46) :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 1)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_35)) :args ((or _let_30 _let_32))) _let_38 :args (_let_30 true _let_32)) :args (_let_45 false _let_30)) :args (_let_44 false _let_19 false _let_45)) :args (_let_43 true _let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_15 1)) :args ((or _let_6 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_17 _let_15 (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 1)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_35)) :args ((or _let_16 _let_21))) _let_41 :args (_let_16 true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.h W)))) :args _let_13)) _let_12 :args (_let_18 false _let_9)) :args (_let_15 false _let_16 false _let_18)) :args (_let_6 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.g W)))) :args _let_13)) _let_12 :args (_let_8 false _let_9)) :args (false true _let_5 false _let_6 false _let_8)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.51 )
% 0.19/0.51 % SZS output end Proof for SYN365+1
% 0.19/0.51 % cvc5---1.0.5 exiting
% 0.19/0.51 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------