TSTP Solution File: GEO077-4 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO077-4 : TPTP v8.1.2. Released v1.0.0.
% 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 22:49:33 EDT 2023
% Result : Unsatisfiable 0.21s 0.58s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO077-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.37 % Computer : n014.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Aug 29 22:56:30 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Sxb3dzWbHy/cvc5---1.0.5_9459.p...
% 0.21/0.52 ------- get file name : TPTP file name is GEO077-4
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9459.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.58 % SZS status Unsatisfiable for GEO077-4
% 0.21/0.58 % SZS output start Proof for GEO077-4
% 0.21/0.58 (
% 0.21/0.58 (let ((_let_1 (tptp.collinear tptp.point1 tptp.point2 tptp.point3))) (let ((_let_2 (= tptp.point2 tptp.point3))) (let ((_let_3 (not _let_2))) (let ((_let_4 (= tptp.point1 tptp.point3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (= tptp.point1 tptp.point2))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.on tptp.point3 tptp.a_line))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.on tptp.point2 tptp.a_line))) (let ((_let_11 (tptp.on tptp.point1 tptp.a_line))) (let ((_let_12 (tptp.line tptp.a_line))) (let ((_let_13 (tptp.point tptp.point3))) (let ((_let_14 (tptp.point tptp.point2))) (let ((_let_15 (tptp.point tptp.point1))) (let ((_let_16 (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.point X3)) (= X1 X2) (= X1 X3) (= X2 X3) (tptp.line (tptp.line_through_3_points X1 X2 X3)) (not (tptp.collinear X1 X2 X3)))))) (let ((_let_17 (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.point X3)) (= X1 X2) (= X1 X3) (= X2 X3) (tptp.on X3 (tptp.line_through_3_points X1 X2 X3)) (not (tptp.collinear X1 X2 X3)))))) (let ((_let_18 (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.point X3)) (= X1 X2) (= X1 X3) (= X2 X3) (tptp.on X2 (tptp.line_through_3_points X1 X2 X3)) (not (tptp.collinear X1 X2 X3)))))) (let ((_let_19 (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.point X3)) (= X1 X2) (= X1 X3) (= X2 X3) (tptp.on X1 (tptp.line_through_3_points X1 X2 X3)) (not (tptp.collinear X1 X2 X3)))))) (let ((_let_20 (forall ((Z1 $$unsorted) (Y3 $$unsorted) (Z2 $$unsorted) (Y4 $$unsorted)) (or (not (tptp.on Z1 Y3)) (= Z1 Z2) (not (tptp.on Z2 Y3)) (= Y3 Y4) (not (tptp.on Z1 Y4)) (not (tptp.on Z2 Y4)) (not (tptp.point Z1)) (not (tptp.point Z2)) (not (tptp.line Y3)) (not (tptp.line Y4)))))) (let ((_let_21 (tptp.line_through_3_points tptp.point1 tptp.point2 tptp.point3))) (let ((_let_22 (tptp.on tptp.point3 _let_21))) (let ((_let_23 (= tptp.a_line _let_21))) (let ((_let_24 (ASSUME :args (_let_9)))) (let ((_let_25 (not _let_1))) (let ((_let_26 (not _let_13))) (let ((_let_27 (not _let_14))) (let ((_let_28 (not _let_15))) (let ((_let_29 (or _let_28 _let_27 _let_26 _let_6 _let_4 _let_2 _let_22 _let_25))) (let ((_let_30 (_let_17))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (ASSUME :args (_let_1)))) (let ((_let_33 (ASSUME :args (_let_13)))) (let ((_let_34 (ASSUME :args (_let_14)))) (let ((_let_35 (ASSUME :args (_let_15)))) (let ((_let_36 (ASSUME :args (_let_3)))) (let ((_let_37 (ASSUME :args (_let_5)))) (let ((_let_38 (ASSUME :args (_let_7)))) (let ((_let_39 (tptp.line _let_21))) (let ((_let_40 (not _let_39))) (let ((_let_41 (not _let_12))) (let ((_let_42 (tptp.on tptp.point1 _let_21))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.on tptp.point2 _let_21))) (let ((_let_45 (not _let_44))) (let ((_let_46 (not _let_11))) (let ((_let_47 (not _let_10))) (let ((_let_48 (or _let_47 _let_6 _let_46 _let_23 _let_45 _let_43 _let_27 _let_28 _let_41 _let_40))) (let ((_let_49 (_let_20))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (or _let_28 _let_27 _let_26 _let_6 _let_4 _let_2 _let_39 _let_25))) (let ((_let_52 (_let_16))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (or _let_28 _let_27 _let_26 _let_6 _let_4 _let_2 _let_44 _let_25))) (let ((_let_55 (_let_18))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (or _let_28 _let_27 _let_26 _let_6 _let_4 _let_2 _let_42 _let_25))) (let ((_let_58 (_let_19))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (ASSUME :args (_let_23)))) (let ((_let_61 (ASSUME :args (_let_22)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_24 _let_60 _let_61) :args (_let_9 _let_22 _let_23)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_61)) (CONG (REFL :args (tptp.point3)) (SYMM _let_60) :args (APPLY_UF tptp.on)) (FALSE_INTRO _let_24))) :args (_let_9 _let_23 _let_22)) :args ((not (and _let_9 _let_22 _let_23)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) (REFL :args ((not _let_22))) (REFL :args ((not _let_23))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_6 _let_28 _let_27 _let_41 _let_46 _let_47 _let_43 _let_45 _let_40 _let_23 (not _let_48)))) _let_38 _let_35 _let_34 (ASSUME :args (_let_12)) (ASSUME :args (_let_11)) (ASSUME :args (_let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_6 _let_4 _let_2 _let_28 _let_27 _let_26 _let_25 _let_42 (not _let_57)))) _let_38 _let_37 _let_36 _let_35 _let_34 _let_33 _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.point1 tptp.point2 tptp.point3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.collinear X1 X2 X3) false))))) :args _let_58)) _let_59 :args (_let_57 false _let_19)) :args (_let_42 true _let_6 true _let_4 true _let_2 false _let_15 false _let_14 false _let_13 false _let_1 false _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_6 _let_4 _let_2 _let_28 _let_27 _let_26 _let_25 _let_44 (not _let_54)))) _let_38 _let_37 _let_36 _let_35 _let_34 _let_33 _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.point1 tptp.point2 tptp.point3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.collinear X1 X2 X3) false))))) :args _let_55)) _let_56 :args (_let_54 false _let_18)) :args (_let_44 true _let_6 true _let_4 true _let_2 false _let_15 false _let_14 false _let_13 false _let_1 false _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_6 _let_4 _let_2 _let_28 _let_27 _let_26 _let_25 _let_39 (not _let_51)))) _let_38 _let_37 _let_36 _let_35 _let_34 _let_33 _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.point1 tptp.point2 tptp.point3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.collinear X1 X2 X3) false))))) :args _let_52)) _let_53 :args (_let_51 false _let_16)) :args (_let_39 true _let_6 true _let_4 true _let_2 false _let_15 false _let_14 false _let_13 false _let_1 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.point2 tptp.a_line tptp.point1 _let_21 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.on Z2 Y3) false)) (not (= (tptp.on Z1 Y4) false))))) :args _let_49))) _let_50 :args (_let_48 false _let_20)) :args (_let_23 true _let_6 false _let_15 false _let_14 false _let_12 false _let_11 false _let_10 false _let_42 false _let_44 false _let_39 false _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_6 _let_4 _let_2 _let_28 _let_27 _let_26 _let_25 _let_22 (not _let_29)))) _let_38 _let_37 _let_36 _let_35 _let_34 _let_33 _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.point1 tptp.point2 tptp.point3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.collinear X1 X2 X3) false))))) :args _let_30)) _let_31 :args (_let_29 false _let_17)) :args (_let_22 true _let_6 true _let_4 true _let_2 false _let_15 false _let_14 false _let_13 false _let_1 false _let_29)) _let_24 :args (false false _let_23 false _let_22 true _let_8)) :args ((forall ((Z1 $$unsorted) (Z2 $$unsorted)) (or (tptp.on Z1 (tptp.line_from_to Z1 Z2)) (= Z1 Z2) (not (tptp.point Z1)) (not (tptp.point Z2)))) (forall ((Z2 $$unsorted) (Z1 $$unsorted)) (or (tptp.on Z2 (tptp.line_from_to Z1 Z2)) (= Z1 Z2) (not (tptp.point Z1)) (not (tptp.point Z2)))) (forall ((Z1 $$unsorted) (Z2 $$unsorted)) (or (tptp.line (tptp.line_from_to Z1 Z2)) (= Z1 Z2) (not (tptp.point Z1)) (not (tptp.point Z2)))) _let_20 (forall ((Y1 $$unsorted)) (or (tptp.on (tptp.point_1_on_line Y1) Y1) (not (tptp.line Y1)))) (forall ((Y1 $$unsorted)) (or (tptp.on (tptp.point_2_on_line Y1) Y1) (not (tptp.line Y1)))) (forall ((Y1 $$unsorted)) (or (tptp.point (tptp.point_1_on_line Y1)) (not (tptp.line Y1)))) (forall ((Y1 $$unsorted)) (or (tptp.point (tptp.point_2_on_line Y1)) (not (tptp.line Y1)))) (forall ((Y1 $$unsorted)) (or (not (= (tptp.point_1_on_line Y1) (tptp.point_2_on_line Y1))) (not (tptp.line Y1)))) (forall ((Y1 $$unsorted)) (or (not (tptp.on (tptp.point_not_on_line Y1) Y1)) (not (tptp.line Y1)))) (forall ((Y1 $$unsorted)) (or (tptp.point (tptp.point_not_on_line Y1)) (not (tptp.line Y1)))) (tptp.line tptp.at_least_one_line) (forall ((Z1 $$unsorted)) (or (not (tptp.plane Z1)) (tptp.on (tptp.point_on_plane Z1) Z1))) (forall ((Z1 $$unsorted)) (or (not (tptp.plane Z1)) (tptp.point (tptp.point_on_plane Z1)))) (forall ((Z1 $$unsorted)) (or (not (tptp.plane Z1)) (not (tptp.on (tptp.point_not_on_plane Z1) Z1)))) (forall ((Z1 $$unsorted)) (or (not (tptp.plane Z1)) (tptp.point (tptp.point_not_on_plane Z1)))) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (tptp.on X1 (tptp.plane_for_points X1 X2 X3)) (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.point X3)) (tptp.collinear X1 X2 X3) (= X1 X2) (= X1 X3) (= X2 X3))) (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted)) (or (tptp.on X2 (tptp.plane_for_points X1 X2 X3)) (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.point X3)) (tptp.collinear X1 X2 X3) (= X1 X2) (= X1 X3) (= X2 X3))) (forall ((X3 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (tptp.on X3 (tptp.plane_for_points X1 X2 X3)) (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.point X3)) (tptp.collinear X1 X2 X3) (= X1 X2) (= X1 X3) (= X2 X3))) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (tptp.plane (tptp.plane_for_points X1 X2 X3)) (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.point X3)) (tptp.collinear X1 X2 X3) (= X1 X2) (= X1 X3) (= X2 X3))) (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (or (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.point X3)) (tptp.collinear X1 X2 X3) (= X1 X2) (= X1 X3) (= X2 X3) (not (tptp.on X1 Z1)) (not (tptp.on X2 Z1)) (not (tptp.on X3 Z1)) (not (tptp.plane Z1)) (not (tptp.on X1 Z2)) (not (tptp.on X2 Z2)) (not (tptp.on X3 Z2)) (not (tptp.plane Z2)) (= Z1 Z2))) (forall ((X1 $$unsorted) (Y1 $$unsorted) (X2 $$unsorted) (Z1 $$unsorted)) (or (not (tptp.on X1 Y1)) (not (tptp.on X2 Y1)) (not (tptp.on X1 Z1)) (not (tptp.on X2 Z1)) (not (tptp.plane Z1)) (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.line Y1)) (= X1 X2) (tptp.on Y1 Z1))) (forall ((Z1 $$unsorted) (Z2 $$unsorted) (X1 $$unsorted)) (or (not (tptp.plane Z1)) (not (tptp.plane Z2)) (= Z1 Z2) (not (tptp.on X1 Z1)) (not (tptp.on X1 Z2)) (not (tptp.point X1)) (tptp.on (tptp.common_point_on_planes Z1 Z2 X1) Z1))) (forall ((Z1 $$unsorted) (Z2 $$unsorted) (X1 $$unsorted)) (or (not (tptp.plane Z1)) (not (tptp.plane Z2)) (= Z1 Z2) (not (tptp.on X1 Z1)) (not (tptp.on X1 Z2)) (not (tptp.point X1)) (tptp.on (tptp.common_point_on_planes Z1 Z2 X1) Z2))) (forall ((Z1 $$unsorted) (Z2 $$unsorted) (X1 $$unsorted)) (or (not (tptp.plane Z1)) (not (tptp.plane Z2)) (= Z1 Z2) (not (tptp.on X1 Z1)) (not (tptp.on X1 Z2)) (not (tptp.point X1)) (tptp.point (tptp.common_point_on_planes Z1 Z2 X1)))) (forall ((Z1 $$unsorted) (Z2 $$unsorted) (X1 $$unsorted)) (or (not (tptp.plane Z1)) (not (tptp.plane Z2)) (= Z1 Z2) (not (tptp.on X1 Z1)) (not (tptp.on X1 Z2)) (not (tptp.point X1)) (not (= X1 (tptp.common_point_on_planes Z1 Z2 X1))))) _let_19 _let_18 _let_17 _let_16 (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (Y $$unsorted)) (or (tptp.collinear X1 X2 X3) (not (tptp.on X1 Y)) (not (tptp.on X2 Y)) (not (tptp.on X3 Y)) (not (tptp.point X1)) (not (tptp.point X2)) (not (tptp.point X3)) (= X1 X2) (= X1 X3) (= X2 X3) (not (tptp.line Y)))) _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_7 _let_5 _let_3 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.58 )
% 0.21/0.58 % SZS output end Proof for GEO077-4
% 0.21/0.58 % cvc5---1.0.5 exiting
% 0.21/0.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------