TSTP Solution File: SYN349+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN349+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 02:02:39 EDT 2023
% Result : Theorem 0.22s 0.54s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN349+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.18/0.35 % Computer : n019.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Sat Aug 26 18:51:13 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ljZcLjvjVG/cvc5---1.0.5_32422.p...
% 0.22/0.54 ------- get file name : TPTP file name is SYN349+1
% 0.22/0.54 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_32422.smt2...
% 0.22/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.54 % SZS status Theorem for SYN349+1
% 0.22/0.54 % SZS output start Proof for SYN349+1
% 0.22/0.54 (
% 0.22/0.54 (let ((_let_1 (not (exists ((X1 $$unsorted)) (forall ((X2 $$unsorted)) (exists ((X3 $$unsorted)) (forall ((X4 $$unsorted)) (let ((_let_1 (tptp.big_f X1 X4))) (=> (= _let_1 (tptp.big_f X2 X4)) (= (= (= _let_1 (tptp.big_f X4 X3)) (tptp.big_f X3 X4)) (tptp.big_f X4 X2))))))))))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_3 (tptp.big_f e_$$unsorted_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_4 (= _let_3 _let_2))) (let ((_let_5 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_6 (= _let_5 _let_4))) (let ((_let_7 (= _let_2 _let_6))) (let ((_let_8 (not _let_3))) (let ((_let_9 (= _let_8 _let_5))) (let ((_let_10 (or _let_9 _let_7))) (let ((_let_11 (forall ((X4 $$unsorted)) (let ((_let_1 (tptp.big_f X4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_2 (tptp.big_f e_$$unsorted_2 X4))) (let ((_let_3 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X4))) (or (= (not _let_2) _let_3) (= _let_1 (= _let_3 (= _let_2 _let_1)))))))))) (let ((_let_12 (not _let_10))) (let ((_let_13 (forall ((X3 $$unsorted)) (not (forall ((X4 $$unsorted)) (let ((_let_1 (tptp.big_f e_$$unsorted_2 X4))) (or (= (not _let_1) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X4)) (= (= (tptp.big_f X3 X4) (= (tptp.big_f X4 X3) _let_1)) (tptp.big_f X4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))))))) (let ((_let_14 (not _let_11))) (let ((_let_15 (forall ((X2 $$unsorted)) (not (forall ((X3 $$unsorted)) (not (forall ((X4 $$unsorted)) (let ((_let_1 (tptp.big_f e_$$unsorted_2 X4))) (or (= (tptp.big_f X2 X4) (not _let_1)) (= (tptp.big_f X4 X2) (= (tptp.big_f X3 X4) (= (tptp.big_f X4 X3) _let_1)))))))))))) (let ((_let_16 (forall ((X1 $$unsorted)) (not (forall ((X2 $$unsorted)) (not (forall ((X3 $$unsorted)) (not (forall ((X4 $$unsorted)) (let ((_let_1 (tptp.big_f X1 X4))) (or (= (tptp.big_f X2 X4) (not _let_1)) (= (= (= _let_1 (tptp.big_f X4 X3)) (tptp.big_f X3 X4)) (tptp.big_f X4 X2))))))))))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_18 :args (e_$$unsorted_2 QUANTIFIERS_INST_ENUM)) :args (_let_16)))))) (let ((_let_20 (or))) (let ((_let_21 (_let_13))) (let ((_let_22 (_let_17))) (let ((_let_23 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_22)) :args _let_22) (REWRITE :args ((=> _let_17 (not (not (forall ((X3 $$unsorted)) (not (forall ((X4 $$unsorted)) (let ((_let_1 (tptp.big_f e_$$unsorted_2 X4))) (or (= (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X4) (not _let_1)) (= (tptp.big_f X4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (= (tptp.big_f X3 X4) (= (tptp.big_f X4 X3) _let_1))))))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_15))) (REFL :args _let_21) :args _let_20)))) (let ((_let_24 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_21) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_21))))) (let ((_let_25 (_let_14))) (let ((_let_26 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_25)) :args _let_25)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_11))) (REFL :args (_let_12)) :args _let_20)))) (let ((_let_27 (MACRO_RESOLUTION_TRUST _let_26 (MACRO_RESOLUTION_TRUST _let_24 (MACRO_RESOLUTION_TRUST _let_23 (MACRO_RESOLUTION_TRUST _let_19 _let_18 :args (_let_17 false _let_16)) :args (_let_13 true _let_15)) :args (_let_14 false _let_13)) :args (_let_12 true _let_11)))) (let ((_let_28 (CNF_OR_NEG :args (_let_10 1)))) (let ((_let_29 (MACRO_RESOLUTION_TRUST _let_28 _let_27 :args ((not _let_7) true _let_10)))) (let ((_let_30 (_let_7))) (let ((_let_31 (REORDERING (CNF_EQUIV_NEG1 :args _let_30) :args ((or _let_2 _let_6 _let_7))))) (let ((_let_32 (_let_6))) (let ((_let_33 (not _let_2))) (let ((_let_34 (_let_4))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_10 0)) _let_27 :args ((not _let_9) true _let_10)))) (let ((_let_36 (not _let_5))) (let ((_let_37 (_let_9))) (let ((_let_38 (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_37) (CONG (REFL :args _let_37) (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_3))) (REFL :args (_let_36)) :args _let_20)) :args ((or _let_3 _let_9 _let_36))))) (let ((_let_39 (not _let_4))) (let ((_let_40 (REORDERING (CNF_EQUIV_NEG1 :args _let_37) :args ((or _let_8 _let_5 _let_9))))) (let ((_let_41 (MACRO_RESOLUTION_TRUST _let_40 _let_35 (REORDERING (CNF_EQUIV_POS2 :args _let_34) :args ((or _let_3 _let_33 _let_39))) (CNF_EQUIV_NEG2 :args _let_32) (MACRO_RESOLUTION_TRUST _let_38 _let_35 (REORDERING (CNF_EQUIV_NEG2 :args _let_34) :args ((or _let_8 _let_4 _let_33))) (REORDERING (CNF_EQUIV_NEG1 :args _let_32) :args ((or _let_5 _let_4 _let_6))) _let_31 _let_28 _let_26 _let_24 _let_23 _let_19 _let_18 :args ((or _let_4 _let_6) true _let_9 true _let_3 false _let_5 false _let_2 true _let_7 true _let_10 true _let_11 false _let_13 true _let_15 false _let_16)) _let_31 _let_29 :args (_let_6 true _let_9 false _let_3 true _let_5 false _let_4 false _let_2 true _let_7)))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_30) _let_29 _let_41 :args (_let_33 true _let_7 false _let_6)))) (let ((_let_43 (not _let_6))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_32) :args ((or _let_4 _let_36 _let_43))) _let_41 (REORDERING (CNF_EQUIV_POS1 :args _let_34) :args ((or _let_8 _let_2 _let_39))) _let_42 _let_40 _let_35 :args (_let_8 false _let_6 true _let_4 true _let_2 false _let_5 true _let_9)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_32) :args ((or _let_5 _let_39 _let_43))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_34) :args ((or _let_3 _let_2 _let_4))) _let_44 _let_42 :args (_let_4 true _let_3 true _let_2)) (MACRO_RESOLUTION_TRUST _let_38 _let_44 _let_35 :args (_let_36 true _let_3 true _let_9)) _let_41 :args (false false _let_4 true _let_5 false _let_6)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.55 )
% 0.22/0.55 % SZS output end Proof for SYN349+1
% 0.22/0.55 % cvc5---1.0.5 exiting
% 0.22/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------