TSTP Solution File: SYN055+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN055+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 02:01:07 EDT 2023
% Result : Theorem 0.14s 0.41s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN055+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.11 % Command : do_cvc5 %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sat Aug 26 20:40:29 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.14/0.39 %----Proving TF0_NAR, FOF, or CNF
% 0.14/0.41 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.VI8ZYzxnqS/cvc5---1.0.5_1370.p...
% 0.14/0.41 ------- get file name : TPTP file name is SYN055+1
% 0.14/0.41 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1370.smt2...
% 0.14/0.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.14/0.41 % SZS status Theorem for SYN055+1
% 0.14/0.41 % SZS output start Proof for SYN055+1
% 0.14/0.41 (
% 0.14/0.41 (let ((_let_1 (not (exists ((X $$unsorted)) (and (tptp.big_q X) (tptp.big_p X)))))) (let ((_let_2 (or (forall ((X $$unsorted)) (=> (tptp.big_p X) (tptp.big_q X))) (exists ((Z $$unsorted)) (and (tptp.big_p Z) (tptp.big_r Z)))))) (let ((_let_3 (forall ((X $$unsorted)) (=> (tptp.big_p X) (and (tptp.big_g X) (tptp.big_f X)))))) (let ((_let_4 (forall ((X $$unsorted)) (=> (tptp.big_f X) (and (not (tptp.big_g X)) (tptp.big_r X)))))) (let ((_let_5 (exists ((X $$unsorted)) (tptp.big_p X)))) (let ((_let_6 (forall ((X $$unsorted)) (or (not (tptp.big_p X)) (tptp.big_q X))))) (let ((_let_7 (tptp.big_q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (not _let_8))) (let ((_let_10 (or _let_9 _let_7))) (let ((_let_11 (forall ((Z $$unsorted)) (or (not (tptp.big_p Z)) (not (tptp.big_r Z)))))) (let ((_let_12 (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_13 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 (not _let_12)))) (let ((_let_16 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_17 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_18 (and _let_17 _let_16))) (let ((_let_19 (or _let_14 _let_18))) (let ((_let_20 (forall ((X $$unsorted)) (or (not (tptp.big_p X)) (and (tptp.big_g X) (tptp.big_f X)))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (not _let_17))) (let ((_let_23 (and _let_22 _let_12))) (let ((_let_24 (not _let_16))) (let ((_let_25 (or _let_24 _let_23))) (let ((_let_26 (not _let_18))) (let ((_let_27 (forall ((X $$unsorted)) (or (not (tptp.big_f X)) (and (not (tptp.big_g X)) (tptp.big_r X)))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (or))) (let ((_let_30 (not _let_11))) (let ((_let_31 (_let_30))) (let ((_let_32 (not _let_10))) (let ((_let_33 (not _let_7))) (let ((_let_34 (or _let_33 _let_9))) (let ((_let_35 (forall ((X $$unsorted)) (or (not (tptp.big_q X)) (not (tptp.big_p X)))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (forall ((X $$unsorted)) (not (tptp.big_p X))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (not _let_37))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_38) :args (_let_39)) (REWRITE :args ((=> _let_39 (not _let_9)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_37))) (REFL :args (_let_8)) :args _let_29)) _let_38 :args (_let_8 true _let_37)))) (let ((_let_41 (_let_6))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_41) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_p X) false))))) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_9 _let_7 _let_32))) _let_40 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_9 _let_33 (not _let_34)))) _let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_p X) false))))) :args (_let_35))) _let_36 :args (_let_34 false _let_35)) :args (_let_33 false _let_8 false _let_34)) :args (_let_32 false _let_8 true _let_7)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_31)) :args _let_31)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_11))) (REFL :args ((not _let_15))) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 0)) (CONG (REFL :args (_let_15)) (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_29)) :args ((or _let_13 _let_15))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_14 _let_18 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_23 (not _let_25)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.big_r X)))) :args (_let_27))) _let_28 :args (_let_25 false _let_27)) (REORDERING (CNF_AND_POS :args (_let_23 0)) :args ((or _let_22 (not _let_23)))) (REORDERING (CNF_AND_POS :args (_let_18 1)) :args ((or _let_16 _let_26))) (REORDERING (CNF_AND_POS :args (_let_18 0)) :args ((or _let_17 _let_26))) :args (_let_26 false _let_25 true _let_23 false _let_16 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_p X) false))))) :args (_let_20))) _let_21 :args (_let_19 false _let_20)) :args (_let_14 true _let_18 false _let_19)) :args (_let_15 true _let_13)) :args (_let_11 false _let_15)) :args (_let_6 false _let_11)) :args (false true _let_10 false _let_6)) :args (_let_5 _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))
% 0.14/0.41 )
% 0.14/0.41 % SZS output end Proof for SYN055+1
% 0.14/0.41 % cvc5---1.0.5 exiting
% 0.14/0.41 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------