TSTP Solution File: GEO083+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO083+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 : Wed Aug 30 22:49:37 EDT 2023
% Result : Theorem 26.14s 26.30s
% Output : Proof 26.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO083+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 30 00:05:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 %----Proving TF0_NAR, FOF, or CNF
% 26.14/26.30 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.s5gyAiQO4y/cvc5---1.0.5_26821.p...
% 26.14/26.30 ------- get file name : TPTP file name is GEO083+1
% 26.14/26.30 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26821.smt2...
% 26.14/26.30 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.14/26.30 --- Run --no-e-matching --full-saturate-quant at 5...
% 26.14/26.30 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.14/26.30 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.14/26.30 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.14/26.30 % SZS status Theorem for GEO083+1
% 26.14/26.30 % SZS output start Proof for GEO083+1
% 26.14/26.30 (
% 26.14/26.30 (let ((_let_1 (not (forall ((C1 $$unsorted) (C2 $$unsorted) (C3 $$unsorted) (P $$unsorted)) (=> (and (tptp.part_of C2 C3) (tptp.meet P C1 C2) (tptp.meet P C1 C3)) (tptp.part_of (tptp.sum C1 C2) (tptp.sum C1 C3))))))) (let ((_let_2 (forall ((C $$unsorted) (C1 $$unsorted) (C2 $$unsorted)) (= (= C (tptp.sum C1 C2)) (forall ((Q $$unsorted)) (= (tptp.incident_c Q C) (or (tptp.incident_c Q C1) (tptp.incident_c Q C2)))))))) (let ((_let_3 (forall ((C $$unsorted) (C1 $$unsorted)) (= (tptp.part_of C1 C) (forall ((P $$unsorted)) (=> (tptp.incident_c P C1) (tptp.incident_c P C))))))) (let ((_let_4 (tptp.sum SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_5 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_4))) (let ((_let_6 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (or _let_7 _let_6))) (let ((_let_9 (= _let_5 _let_8))) (let ((_let_10 (tptp.sum SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_11 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_10))) (let ((_let_12 (not _let_5))) (let ((_let_13 (or _let_12 _let_11))) (let ((_let_14 (forall ((P $$unsorted)) (or (not (tptp.incident_c P (tptp.sum SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (tptp.incident_c P (tptp.sum SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_15 (not _let_13))) (let ((_let_16 (tptp.part_of _let_4 _let_10))) (let ((_let_17 (= _let_16 _let_14))) (let ((_let_18 (not _let_14))) (let ((_let_19 (forall ((C $$unsorted) (C1 $$unsorted)) (= (tptp.part_of C1 C) (forall ((P $$unsorted)) (or (not (tptp.incident_c P C1)) (tptp.incident_c P C))))))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (_let_19))) (let ((_let_22 ((tptp.part_of C1 C)))) (let ((_let_23 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 (not (tptp.meet SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.meet SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_16))) (let ((_let_26 (forall ((C1 $$unsorted) (C2 $$unsorted) (C3 $$unsorted) (P $$unsorted)) (or (not (tptp.part_of C2 C3)) (not (tptp.meet P C1 C2)) (not (tptp.meet P C1 C3)) (tptp.part_of (tptp.sum C1 C2) (tptp.sum C1 C3)))))) (let ((_let_27 (not _let_25))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (or))) (let ((_let_30 (not _let_26))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_28) :args (_let_30))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_26))) (REFL :args (_let_27)) :args _let_29)) _let_28 :args (_let_27 true _let_26)))) (let ((_let_32 (_let_18))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_32)) :args _let_32)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_14))) (REFL :args (_let_15)) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_17)) :args ((or _let_16 _let_18 (not _let_17)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_25 3)) _let_31 :args ((not _let_16) true _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (_let_10 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_22)) :args _let_21)) _let_20 :args (_let_17 false _let_19)) :args (_let_18 true _let_16 false _let_17)) :args (_let_15 true _let_14)))) (let ((_let_34 (not _let_8))) (let ((_let_35 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_36 (not _let_6))) (let ((_let_37 (or _let_36 _let_35))) (let ((_let_38 (forall ((P $$unsorted)) (or (not (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_39 (= _let_23 _let_38))) (let ((_let_40 (_let_38))) (let ((_let_41 (or _let_7 _let_35))) (let ((_let_42 (not _let_35))) (let ((_let_43 (= _let_11 _let_41))) (let ((_let_44 (not _let_41))) (let ((_let_45 (forall ((Q $$unsorted)) (= (tptp.incident_c Q (tptp.sum SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (or (tptp.incident_c Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.incident_c Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_46 (_let_2))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (_let_45))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_43)) :args ((or _let_11 _let_44 (not _let_43)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_13 1)) _let_33 :args ((not _let_11) true _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_48) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.incident_c Q _let_10)))) :args _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_46))) _let_47 :args (_let_45 false _let_2)) :args (_let_43 false _let_45)) :args (_let_44 true _let_11 false _let_43)))) (let ((_let_50 (not _let_7))) (let ((_let_51 (forall ((Q $$unsorted)) (= (tptp.incident_c Q (tptp.sum SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (or (tptp.incident_c Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.incident_c Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_52 (_let_51))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_9)) :args ((or _let_12 _let_8 (not _let_9)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_52) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_46))) _let_47 :args (_let_51 false _let_2)) :args (_let_9 false _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_7 _let_6 _let_34))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_41 0)) :args ((or _let_50 _let_41))) _let_49 :args (_let_50 true _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_35 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_41 1)) :args ((or _let_42 _let_41))) _let_49 :args (_let_42 true _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_40) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) false))))) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_39)) :args ((or _let_24 _let_38 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 0)) (CONG (REFL :args (_let_25)) (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_29)) :args ((or _let_23 _let_25))) _let_31 :args (_let_23 true _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_22)) :args _let_21)) _let_20 :args (_let_39 false _let_19)) :args (_let_38 false _let_23 false _let_39)) :args (_let_37 false _let_38)) :args (_let_36 true _let_35 false _let_37)) :args (_let_34 true _let_7 true _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 0)) (CONG (REFL :args (_let_13)) (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_5))) :args _let_29)) :args ((or _let_5 _let_13))) _let_33 :args (_let_5 true _let_13)) :args (false false _let_9 true _let_8 false _let_5)) :args (_let_3 _let_2 (forall ((P $$unsorted) (C $$unsorted)) (= (tptp.end_point P C) (and (tptp.incident_c P C) (forall ((C1 $$unsorted) (C2 $$unsorted)) (=> (and (tptp.part_of C1 C) (tptp.part_of C2 C) (tptp.incident_c P C1) (tptp.incident_c P C2)) (or (tptp.part_of C1 C2) (tptp.part_of C2 C1))))))) (forall ((P $$unsorted) (C $$unsorted)) (= (tptp.inner_point P C) (and (tptp.incident_c P C) (not (tptp.end_point P C))))) (forall ((P $$unsorted) (C $$unsorted) (C1 $$unsorted)) (= (tptp.meet P C C1) (and (tptp.incident_c P C) (tptp.incident_c P C1) (forall ((Q $$unsorted)) (=> (and (tptp.incident_c Q C) (tptp.incident_c Q C1)) (and (tptp.end_point Q C) (tptp.end_point Q C1))))))) (forall ((C $$unsorted)) (= (tptp.closed C) (not (exists ((P $$unsorted)) (tptp.end_point P C))))) (forall ((C $$unsorted)) (= (tptp.open C) (exists ((P $$unsorted)) (tptp.end_point P C)))) (forall ((C $$unsorted) (C1 $$unsorted)) (=> (and (tptp.part_of C1 C) (not (= C1 C))) (tptp.open C1))) (forall ((C $$unsorted) (C1 $$unsorted) (C2 $$unsorted) (C3 $$unsorted)) (=> (and (tptp.part_of C1 C) (tptp.part_of C2 C) (tptp.part_of C3 C) (exists ((P $$unsorted)) (and (tptp.end_point P C1) (tptp.end_point P C2) (tptp.end_point P C3)))) (or (tptp.part_of C2 C3) (tptp.part_of C3 C2) (tptp.part_of C1 C2) (tptp.part_of C2 C1) (tptp.part_of C1 C3) (tptp.part_of C3 C1)))) (forall ((C $$unsorted)) (exists ((P $$unsorted)) (tptp.inner_point P C))) (forall ((C $$unsorted) (P $$unsorted)) (=> (tptp.inner_point P C) (exists ((C1 $$unsorted) (C2 $$unsorted)) (and (tptp.meet P C1 C2) (= C (tptp.sum C1 C2)))))) (forall ((C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (and (tptp.end_point P C) (tptp.end_point Q C) (tptp.end_point R C)) (or (= P Q) (= P R) (= Q R)))) (forall ((C $$unsorted) (P $$unsorted)) (=> (tptp.end_point P C) (exists ((Q $$unsorted)) (and (tptp.end_point Q C) (not (= P Q)))))) (forall ((C $$unsorted) (C1 $$unsorted) (C2 $$unsorted) (P $$unsorted)) (=> (and (tptp.closed C) (tptp.meet P C1 C2) (= C (tptp.sum C1 C2))) (forall ((Q $$unsorted)) (=> (tptp.end_point Q C1) (tptp.meet Q C1 C2))))) (forall ((C1 $$unsorted) (C2 $$unsorted)) (=> (exists ((P $$unsorted)) (tptp.meet P C1 C2)) (exists ((C $$unsorted)) (= C (tptp.sum C1 C2))))) (forall ((C $$unsorted) (C1 $$unsorted)) (=> (forall ((P $$unsorted)) (= (tptp.incident_c P C) (tptp.incident_c P C1))) (= C C1))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.14/26.31 )
% 26.14/26.31 % SZS output end Proof for GEO083+1
% 26.14/26.31 % cvc5---1.0.5 exiting
% 26.14/26.31 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------