TSTP Solution File: SEU142+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU142+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 16:29:30 EDT 2023
% Result : Theorem 10.39s 10.62s
% Output : Proof 10.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU142+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 23:59:20 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.19/0.49 %----Proving TF0_NAR, FOF, or CNF
% 10.39/10.62 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.rlV5hhLyI3/cvc5---1.0.5_32230.p...
% 10.39/10.62 ------- get file name : TPTP file name is SEU142+1
% 10.39/10.62 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_32230.smt2...
% 10.39/10.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.39/10.62 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.39/10.62 % SZS status Theorem for SEU142+1
% 10.39/10.62 % SZS output start Proof for SEU142+1
% 10.39/10.62 (
% 10.39/10.62 (let ((_let_1 (forall ((A $$unsorted)) (= (tptp.unordered_pair A A) (tptp.singleton A))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (forall ((C $$unsorted)) (= (tptp.in C A) (tptp.in C B))) (= A B))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.unordered_pair A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (= D A) (= D B)))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_6 (forall ((D $$unsorted)) (= (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.in D (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_8 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_8))) (let ((_let_10 (= _let_9 _let_7))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.unordered_pair A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (= A D) (= B D)))))))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_11)))) _let_12 :args (_let_6 false _let_11)))) (let ((_let_14 (not _let_10))) (let ((_let_15 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_15))) (let ((_let_17 (= _let_16 _let_7))) (let ((_let_18 (not _let_7))) (let ((_let_19 (forall ((C $$unsorted)) (= (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (_let_19))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_22) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_CBQI_PROP)) :args _let_22))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15 QUANTIFIERS_INST_ENUM)) :args (_let_20)))) _let_21 :args (_let_19 false _let_20)) :args (_let_17 false _let_19)))) (let ((_let_24 (= _let_16 _let_9))) (let ((_let_25 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8))) (let ((_let_26 (not _let_16))) (let ((_let_27 (forall ((C $$unsorted)) (= (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.in C (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_28 (not _let_24))) (let ((_let_29 (= _let_8 _let_15))) (let ((_let_30 (not _let_27))) (let ((_let_31 (or _let_30 _let_29))) (let ((_let_32 (forall ((A $$unsorted) (B $$unsorted)) (or (not (forall ((C $$unsorted)) (= (tptp.in C A) (tptp.in C B)))) (= A B))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (not _let_29))) (let ((_let_35 (_let_2))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (or))) (let ((_let_38 (_let_30))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_38)) :args _let_38)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_27))) (REFL :args (_let_28)) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_29 _let_30 (not _let_31)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_36) :args _let_35)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_34)) :args _let_37)) _let_36 :args (_let_34 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_15 _let_8 QUANTIFIERS_INST_ENUM)) :args (_let_32)))) _let_33 :args (_let_31 false _let_32)) :args (_let_30 true _let_29 false _let_31)) :args (_let_28 true _let_27)))) (let ((_let_40 (_let_24))) (let ((_let_41 (not _let_17))) (let ((_let_42 (_let_17))) (let ((_let_43 (_let_6))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (not _let_9))) (let ((_let_46 (ASSUME :args (_let_25)))) (let ((_let_47 (ASSUME :args (_let_7)))) (let ((_let_48 (ASSUME :args (_let_45)))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_46 _let_47 _let_48) :args (_let_25 _let_45 _let_7)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_48)) (CONG (SYMM _let_47) (REFL :args (_let_8)) :args (APPLY_UF tptp.in)) (TRUE_INTRO _let_46))) :args (_let_25 _let_7 _let_45)) :args ((not (and _let_25 _let_45 _let_7)) SB_LITERAL))) (CONG (REFL :args ((not _let_25))) (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_9))) (REFL :args (_let_18)) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_43))) :args ((or _let_25 (not _let_6)))) _let_13 :args (_let_25 false _let_6)) (REORDERING (CNF_EQUIV_POS1 :args _let_42) :args ((or _let_26 _let_7 _let_41))) _let_23 (CNF_EQUIV_NEG2 :args _let_40) _let_39 :args (_let_26 false _let_25 false _let_7 false _let_17 true _let_9 true _let_24)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_43))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_10)) :args ((or _let_45 _let_7 _let_14))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_40) :args ((or _let_16 _let_9 _let_24))) _let_49 _let_39 :args (_let_9 true _let_16 true _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_42) :args ((or _let_16 _let_18 _let_41))) _let_49 _let_23 :args (_let_18 true _let_16 false _let_17)) :args (_let_14 false _let_9 true _let_7)) _let_13 :args (false true _let_10 false _let_6)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) _let_5 _let_4 true true _let_3 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.39/10.62 )
% 10.39/10.62 % SZS output end Proof for SEU142+1
% 10.39/10.62 % cvc5---1.0.5 exiting
% 10.39/10.62 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------