TSTP Solution File: SYN351+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN351+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 02:02:40 EDT 2023
% Result : Theorem 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN351+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 21:14:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.1g1tKZGjbb/cvc5---1.0.5_16928.p...
% 0.20/0.54 ------- get file name : TPTP file name is SYN351+1
% 0.20/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16928.smt2...
% 0.20/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54 % SZS status Theorem for SYN351+1
% 0.20/0.54 % SZS output start Proof for SYN351+1
% 0.20/0.54 (
% 0.20/0.54 (let ((_let_1 (not (forall ((X1 $$unsorted) (X2 $$unsorted)) (exists ((Y1 $$unsorted) (Y2 $$unsorted)) (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f X1 Y2 Y1 Y2))) (let ((_let_2 (tptp.big_f X1 Y1 X1 Y2))) (let ((_let_3 (tptp.big_f X1 Z Y1 Z))) (=> (tptp.big_f X1 Y2 X1 Z) (=> (= _let_2 (tptp.big_f Y1 X2 Y1 Y2)) (=> _let_2 (and (=> _let_1 _let_3) (=> _let_3 (= _let_2 _let_1))))))))))))))) (let ((_let_2 (forall ((BOUND_VARIABLE_650 $$unsorted) (BOUND_VARIABLE_652 $$unsorted)) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_650 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_652)))) (let ((_let_3 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_4 (forall ((BOUND_VARIABLE_657 $$unsorted) (BOUND_VARIABLE_659 $$unsorted)) (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_659 BOUND_VARIABLE_657 BOUND_VARIABLE_659))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Z BOUND_VARIABLE_657 Z))) (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_659 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Z)) (and (or (not _let_1) _let_2) (or (not _let_2) (= _let_1 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_657 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_659)))))))))))) (let ((_let_5 (not _let_4))) (let ((_let_6 (not _let_2))) (let ((_let_7 (or (not (forall ((BOUND_VARIABLE_639 $$unsorted) (BOUND_VARIABLE_641 $$unsorted)) (= (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_639 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_641)) (not (tptp.big_f BOUND_VARIABLE_639 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_639 BOUND_VARIABLE_641))))) _let_6 _let_5))) (let ((_let_8 (forall ((X1 $$unsorted) (X2 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_639 $$unsorted) (BOUND_VARIABLE_641 $$unsorted)) (= (not (tptp.big_f X1 BOUND_VARIABLE_639 X1 BOUND_VARIABLE_641)) (not (tptp.big_f BOUND_VARIABLE_639 X2 BOUND_VARIABLE_639 BOUND_VARIABLE_641))))) (not (forall ((BOUND_VARIABLE_650 $$unsorted) (BOUND_VARIABLE_652 $$unsorted)) (tptp.big_f X1 BOUND_VARIABLE_650 X1 BOUND_VARIABLE_652))) (not (forall ((BOUND_VARIABLE_657 $$unsorted) (BOUND_VARIABLE_659 $$unsorted)) (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f X1 BOUND_VARIABLE_659 BOUND_VARIABLE_657 BOUND_VARIABLE_659))) (let ((_let_2 (tptp.big_f X1 Z BOUND_VARIABLE_657 Z))) (or (not (tptp.big_f X1 BOUND_VARIABLE_659 X1 Z)) (and (or (not _let_1) _let_2) (or (not _let_2) (= _let_1 (tptp.big_f X1 BOUND_VARIABLE_657 X1 BOUND_VARIABLE_659))))))))))))))) (let ((_let_9 (not _let_7))) (let ((_let_10 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_11 (or))) (let ((_let_12 (not _let_8))) (let ((_let_13 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_10) :args (_let_12))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_8))) (REFL :args (_let_9)) :args _let_11)) _let_10 :args (_let_9 true _let_8)))) (let ((_let_14 (REFL :args (_let_7)))) (let ((_let_15 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_7 1)) (CONG _let_14 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_2))) :args _let_11)) :args ((or _let_2 _let_7))) _let_13 :args (_let_2 true _let_7)))) (let ((_let_16 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 e_$$unsorted_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 e_$$unsorted_6))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_3))) (let ((_let_19 (not _let_3))) (let ((_let_20 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 e_$$unsorted_6))) (let ((_let_21 (= _let_20 _let_16))) (let ((_let_22 (or _let_19 _let_21))) (let ((_let_23 (and _let_18 _let_22))) (let ((_let_24 (_let_2))) (let ((_let_25 ((not (= (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_650 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_652) true))))) (let ((_let_26 (ASSUME :args _let_24))) (let ((_let_27 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 e_$$unsorted_6 QUANTIFIERS_INST_ENUM))) (let ((_let_28 (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 e_$$unsorted_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)) _let_23))) (let ((_let_29 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 e_$$unsorted_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 e_$$unsorted_6))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Z))) (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 e_$$unsorted_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Z)) (and (or (not _let_1) _let_2) (or (not _let_2) (= (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 e_$$unsorted_6) _let_1))))))))) (let ((_let_30 (not _let_28))) (let ((_let_31 (not _let_29))) (let ((_let_32 (_let_4))) (let ((_let_33 (_let_31))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_24)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 1)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_23)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_28 1)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_33)) :args _let_33)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_29))) (REFL :args (_let_30)) :args _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_32) :args _let_27) :args _let_32))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_7 2)) (CONG _let_14 (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) :args _let_11)) :args ((or _let_4 _let_7))) _let_13 :args (_let_4 true _let_7)) :args (_let_31 false _let_4)) :args (_let_30 true _let_29)) :args ((not _let_23) true _let_28)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_22 1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG2 :args (_let_21)) :args ((or (not _let_20) _let_17 _let_21))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args _let_27) :args _let_24)) _let_15 :args (_let_20 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (e_$$unsorted_6 e_$$unsorted_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_24)) _let_15 :args (_let_16 false _let_2)) :args (_let_21 false _let_20 false _let_16)) :args (_let_22 false _let_21)) :args ((not _let_18) true _let_23 false _let_22)) :args (_let_19 true _let_18)) _let_15 :args (false true _let_3 false _let_2)) :args (_let_1 true))))))))))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for SYN351+1
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------