TSTP Solution File: SET985+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET985+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 : Thu Aug 31 14:41:15 EDT 2023
% Result : Theorem 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET985+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 16:01:55 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.fNm6NXoYwK/cvc5---1.0.5_8002.p...
% 0.21/0.53 ------- get file name : TPTP file name is SET985+1
% 0.21/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8002.smt2...
% 0.21/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53 % SZS status Theorem for SET985+1
% 0.21/0.53 % SZS output start Proof for SET985+1
% 0.21/0.53 (
% 0.21/0.53 (let ((_let_1 (forall ((A $$unsorted)) (tptp.subset tptp.empty_set A)))) (let ((_let_2 (not (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (or (tptp.subset (tptp.cartesian_product2 A B) (tptp.cartesian_product2 C D)) (tptp.subset (tptp.cartesian_product2 B A) (tptp.cartesian_product2 D C))) (tptp.subset B D)))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.cartesian_product2 A B))) (=> (tptp.subset _let_1 (tptp.cartesian_product2 C D)) (or (= _let_1 tptp.empty_set) (and (tptp.subset A C) (tptp.subset B D)))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.cartesian_product2 A B) tptp.empty_set) (or (= A tptp.empty_set) (= B tptp.empty_set)))))) (let ((_let_5 (tptp.empty tptp.empty_set))) (let ((_let_6 (tptp.empty SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (ASSUME :args (_let_5)))) (let ((_let_9 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_11 (tptp.subset _let_10 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_14 (tptp.subset _let_13 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_15 (not _let_14))) (let ((_let_16 (and _let_15 _let_12))) (let ((_let_17 (or _let_6 _let_16 _let_9))) (let ((_let_18 (not _let_6))) (let ((_let_19 (forall ((A $$unsorted) (BOUND_VARIABLE_684 $$unsorted) (BOUND_VARIABLE_682 $$unsorted) (BOUND_VARIABLE_680 $$unsorted)) (or (tptp.empty A) (and (not (tptp.subset (tptp.cartesian_product2 A BOUND_VARIABLE_680) (tptp.cartesian_product2 BOUND_VARIABLE_682 BOUND_VARIABLE_684))) (not (tptp.subset (tptp.cartesian_product2 BOUND_VARIABLE_680 A) (tptp.cartesian_product2 BOUND_VARIABLE_684 BOUND_VARIABLE_682)))) (tptp.subset BOUND_VARIABLE_680 BOUND_VARIABLE_684))))) (let ((_let_20 (not _let_17))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (or))) (let ((_let_23 (not _let_19))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_21) :args (_let_23))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_19))) (REFL :args (_let_20)) :args _let_22)) _let_21 :args (_let_20 true _let_19)))) (let ((_let_25 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_26 (or _let_7 _let_25))) (let ((_let_27 (or _let_25 _let_7))) (let ((_let_28 (= tptp.empty_set _let_13))) (let ((_let_29 (= _let_28 _let_26))) (let ((_let_30 (= tptp.empty_set _let_10))) (let ((_let_31 (= _let_30 _let_27))) (let ((_let_32 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_33 (and _let_32 _let_9))) (let ((_let_34 (or _let_15 _let_28 _let_33))) (let ((_let_35 (and _let_9 _let_32))) (let ((_let_36 (or _let_12 _let_30 _let_35))) (let ((_let_37 (tptp.subset tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_38 (not _let_25))) (let ((_let_39 (_let_1))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (not _let_9))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_17 2)) _let_24 :args (_let_41 true _let_17)))) (let ((_let_43 (ASSUME :args (_let_37)))) (let ((_let_44 (ASSUME :args (_let_25)))) (let ((_let_45 (ASSUME :args (_let_41)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_43 _let_44 _let_45) :args (_let_41 _let_25 _let_37)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_45)) (CONG (SYMM _let_44) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) :args (APPLY_UF tptp.subset)) (TRUE_INTRO _let_43))) :args (_let_37 _let_25 _let_41)) :args ((not (and _let_41 _let_25 _let_37)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_9))) (REFL :args (_let_38)) (REFL :args ((not _let_37))) :args _let_22)) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subset tptp.empty_set A) true))))) :args _let_39)) _let_40 :args (_let_37 false _let_1)) :args (_let_38 true _let_9 false _let_37)))) (let ((_let_47 (forall ((A $$unsorted) (B $$unsorted)) (= (= tptp.empty_set (tptp.cartesian_product2 A B)) (or (= tptp.empty_set A) (= tptp.empty_set B)))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_47))) (let ((_let_50 ((tptp.cartesian_product2 A B)))) (let ((_let_51 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.cartesian_product2 A B))) (or (not (tptp.subset _let_1 (tptp.cartesian_product2 C D))) (= tptp.empty_set _let_1) (and (tptp.subset A C) (tptp.subset B D))))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (_let_51))) (let ((_let_54 ((not (= (tptp.subset (tptp.cartesian_product2 A B) (tptp.cartesian_product2 C D)) false))))) (let ((_let_55 (not _let_33))) (let ((_let_56 (not _let_35))) (let ((_let_57 (_let_16))) (let ((_let_58 (ASSUME :args (_let_7)))) (let ((_let_59 (ASSUME :args (_let_18)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_8 _let_58 _let_59) :args (_let_5 _let_18 _let_7)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_59)) (CONG (SYMM _let_58) :args (APPLY_UF tptp.empty)) (TRUE_INTRO _let_8))) :args (_let_5 _let_7 _let_18)) :args ((not (and _let_5 _let_18 _let_7)) SB_LITERAL))) (CONG (REFL :args ((not _let_5))) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_6))) (REFL :args ((not _let_7))) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_57) (CONG (REFL :args _let_57) (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_22)) :args ((or _let_14 _let_11 _let_16))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_17 1)) _let_24 :args ((not _let_16) true _let_17)) (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_12 _let_30 _let_35 (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_53)) _let_52 :args (_let_36 false _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_35 0)) :args ((or _let_9 _let_56))) _let_42 :args (_let_56 true _let_9)) (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_15 _let_28 _let_33 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_33 1)) :args ((or _let_9 _let_55))) _let_42 :args (_let_55 true _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_53)) _let_52 :args (_let_34 false _let_51)) (REORDERING (CNF_EQUIV_POS1 :args (_let_31)) :args ((or _let_27 (not _let_30) (not _let_31)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_49)) _let_48 :args (_let_31 false _let_47)) (REORDERING (CNF_EQUIV_POS1 :args (_let_29)) :args ((or _let_26 (not _let_28) (not _let_29)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_49)) _let_48 :args (_let_29 false _let_47)) (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_7 _let_25 (not _let_27)))) _let_46 (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_7 _let_25 (not _let_26)))) _let_46 :args (_let_7 true _let_16 true _let_11 false _let_36 true _let_35 true _let_14 true _let_33 false _let_34 true _let_30 false _let_31 true _let_28 false _let_29 true _let_27 true _let_25 true _let_26 true _let_25)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_17 0)) _let_24 :args (_let_18 true _let_17)) _let_8 :args (false false _let_7 true _let_6 false _let_5)) :args (_let_5 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for SET985+1
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------