TSTP Solution File: GEO082+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO082+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 22:49:36 EDT 2023
% Result : Theorem 10.85s 11.07s
% Output : Proof 10.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO082+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 29 20:02:29 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 10.85/11.07 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.jYkTWTKh3J/cvc5---1.0.5_26005.p...
% 10.85/11.07 ------- get file name : TPTP file name is GEO082+1
% 10.85/11.07 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26005.smt2...
% 10.85/11.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.85/11.07 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.85/11.07 % SZS status Theorem for GEO082+1
% 10.85/11.07 % SZS output start Proof for GEO082+1
% 10.85/11.07 (
% 10.85/11.07 (let ((_let_1 (not (forall ((C1 $$unsorted) (C2 $$unsorted)) (=> (and (tptp.part_of C1 C2) (tptp.part_of C2 C1)) (= C1 C2)))))) (let ((_let_2 (forall ((C $$unsorted) (C1 $$unsorted)) (=> (forall ((P $$unsorted)) (= (tptp.incident_c P C) (tptp.incident_c P C1))) (= C C1))))) (let ((_let_3 (forall ((C $$unsorted) (C1 $$unsorted)) (= (tptp.part_of C1 C) (forall ((P $$unsorted)) (=> (tptp.incident_c P C1) (tptp.incident_c P C))))))) (let ((_let_4 (forall ((P $$unsorted)) (or (not (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_5 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_6 (tptp.incident_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (not _let_6))) (let ((_let_8 (or _let_7 _let_5))) (let ((_let_9 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (= _let_9 _let_4))) (let ((_let_11 (forall ((C $$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_12 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (_let_11))) (let ((_let_14 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_15 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (tptp.part_of SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (not _let_16))) (let ((_let_18 (not _let_9))) (let ((_let_19 (or _let_18 _let_17 _let_15))) (let ((_let_20 (forall ((C1 $$unsorted) (C2 $$unsorted)) (or (not (tptp.part_of C1 C2)) (not (tptp.part_of C2 C1)) (= C1 C2))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (or))) (let ((_let_24 (not _let_20))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_22) :args (_let_24))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_20))) (REFL :args (_let_21)) :args _let_23)) _let_22 :args (_let_21 true _let_20)))) (let ((_let_26 (REFL :args (_let_19)))) (let ((_let_27 (not _let_8))) (let ((_let_28 (= _let_5 _let_6))) (let ((_let_29 (forall ((Q $$unsorted)) (= (tptp.incident_c Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.incident_c Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_30 (not _let_28))) (let ((_let_31 (forall ((P $$unsorted)) (= (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_32 (not _let_29))) (let ((_let_33 (not _let_31))) (let ((_let_34 (or _let_33 _let_15))) (let ((_let_35 (forall ((C $$unsorted) (C1 $$unsorted)) (or (not (forall ((P $$unsorted)) (= (tptp.incident_c P C) (tptp.incident_c P C1)))) (= C C1))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (_let_32))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_37)) :args _let_37)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_29))) (REFL :args (_let_30)) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_29 (= Q P)))) :args ((or _let_31 _let_32))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_15 _let_33 (not _let_34)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 2)) _let_25 :args ((not _let_15) true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_36 :args _let_14) :args (_let_35)))) _let_36 :args (_let_34 false _let_35)) :args (_let_33 true _let_15 false _let_34)) :args (_let_32 true _let_31)) :args (_let_30 true _let_29)))) (let ((_let_39 (not _let_5))) (let ((_let_40 (or _let_39 _let_6))) (let ((_let_41 (_let_28))) (let ((_let_42 (forall ((P $$unsorted)) (or (not (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_43 (= _let_16 _let_42))) (let ((_let_44 (_let_42))) (let ((_let_45 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_6 _let_39 (not _let_40)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_44) :args _let_45) :args _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_43)) :args ((or _let_17 _let_42 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 1)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_23)) :args ((or _let_16 _let_19))) _let_25 :args (_let_16 true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_13)) _let_12 :args (_let_43 false _let_11)) :args (_let_42 false _let_16 false _let_43)) :args (_let_40 false _let_42)) (CNF_EQUIV_NEG2 :args _let_41) _let_38 :args (_let_39 false _let_40 true _let_6 true _let_28)))) (let ((_let_47 (_let_4))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args _let_45) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_5 _let_7 _let_27))) _let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_41) :args ((or _let_5 _let_6 _let_28))) _let_46 _let_38 :args (_let_6 true _let_5 true _let_28)) :args (_let_27 true _let_5 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_10)) :args ((or _let_18 _let_4 (not _let_10)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 0)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_9))) :args _let_23)) :args ((or _let_9 _let_19))) _let_25 :args (_let_9 true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args _let_14) :args _let_13)) _let_12 :args (_let_10 false _let_11)) :args (_let_4 false _let_9 false _let_10)) :args (false true _let_8 false _let_4)) :args (_let_3 (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)))))) (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))))) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.85/11.07 )
% 10.85/11.07 % SZS output end Proof for GEO082+1
% 10.85/11.07 % cvc5---1.0.5 exiting
% 10.85/11.08 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------