TSTP Solution File: GEO225+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO225+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 22:50:40 EDT 2023
% Result : Theorem 0.17s 0.46s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO225+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11 % Command : do_cvc5 %s %d
% 0.11/0.31 % Computer : n016.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Aug 29 22:05:31 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.17/0.42 %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.46 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.7uaN4LbIi0/cvc5---1.0.5_12334.p...
% 0.17/0.46 ------- get file name : TPTP file name is GEO225+1
% 0.17/0.46 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12334.smt2...
% 0.17/0.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.17/0.46 % SZS status Theorem for GEO225+1
% 0.17/0.46 % SZS output start Proof for GEO225+1
% 0.17/0.46 (
% 0.17/0.46 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.point A) (tptp.point B) (tptp.distinct_points A B)) (exists ((X $$unsorted)) (=> (tptp.line X) (and (not (tptp.apart_point_and_line A X)) (not (tptp.apart_point_and_line B X)))))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.distinct_points X Y) (not (tptp.apart_point_and_line Y (tptp.line_connecting X Y))))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.distinct_points X Y) (not (tptp.apart_point_and_line X (tptp.line_connecting X Y))))))) (let ((_let_4 (forall ((BOUND_VARIABLE_863 $$unsorted)) (or (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_863) (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_863))))) (let ((_let_5 (tptp.line_connecting SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_6 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_5))) (let ((_let_7 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_5))) (let ((_let_8 (or _let_7 _let_6))) (let ((_let_9 (not _let_4))) (let ((_let_10 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or (not (tptp.point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_11 _let_9))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.point A)) (not (tptp.point B)) (not (tptp.distinct_points A B)) (not (forall ((BOUND_VARIABLE_863 $$unsorted)) (or (tptp.apart_point_and_line A BOUND_VARIABLE_863) (tptp.apart_point_and_line B BOUND_VARIABLE_863)))))))) (let ((_let_14 (not _let_12))) (let ((_let_15 (or))) (let ((_let_16 (not _let_13))) (let ((_let_17 (_let_16))) (let ((_let_18 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_17)) :args _let_17)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_13))) (REFL :args (_let_14)) :args _let_15)) (NOT_OR_ELIM (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (1)) :args (_let_14 true _let_13)))) (let ((_let_19 (REFL :args (_let_12)))) (let ((_let_20 (not _let_8))) (let ((_let_21 (not _let_6))) (let ((_let_22 (or _let_11 _let_21))) (let ((_let_23 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.distinct_points X Y)) (not (tptp.apart_point_and_line Y (tptp.line_connecting X Y))))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_12 2)) (CONG _let_19 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_15)) :args ((or _let_10 _let_12))) _let_18 :args (_let_10 true _let_12)))) (let ((_let_26 (not _let_7))) (let ((_let_27 (or _let_11 _let_26))) (let ((_let_28 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.distinct_points X Y)) (not (tptp.apart_point_and_line X (tptp.line_connecting X Y))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (_let_4))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_30) :args (_let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_863) true))))) :args _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_7 _let_6 _let_20))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_11 _let_26 (not _let_27)))) _let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.distinct_points X Y) false))))) :args (_let_28))) _let_29 :args (_let_27 false _let_28)) :args (_let_26 false _let_10 false _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_11 _let_21 (not _let_22)))) _let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.distinct_points X Y) false))))) :args (_let_23))) _let_24 :args (_let_22 false _let_23)) :args (_let_21 false _let_10 false _let_22)) :args (_let_20 true _let_7 true _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_12 3)) (CONG _let_19 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_4))) :args _let_15)) :args ((or _let_4 _let_12))) _let_18 :args (_let_4 true _let_12)) :args (false true _let_8 false _let_4)) :args ((forall ((X $$unsorted)) (not (tptp.distinct_points X X))) (forall ((X $$unsorted)) (not (tptp.distinct_lines X X))) (forall ((X $$unsorted)) (not (tptp.convergent_lines X X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.distinct_points X Y) (or (tptp.distinct_points X Z) (tptp.distinct_points Y Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.distinct_lines X Y) (or (tptp.distinct_lines X Z) (tptp.distinct_lines Y Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.convergent_lines X Y) (or (tptp.convergent_lines X Z) (tptp.convergent_lines Y Z)))) _let_3 _let_2 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.convergent_lines X Y) (not (tptp.apart_point_and_line (tptp.intersection_point X Y) X)))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.convergent_lines X Y) (not (tptp.apart_point_and_line (tptp.intersection_point X Y) Y)))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (and (tptp.distinct_points X Y) (tptp.distinct_lines U V)) (or (tptp.apart_point_and_line X U) (tptp.apart_point_and_line X V) (tptp.apart_point_and_line Y U) (tptp.apart_point_and_line Y V)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.apart_point_and_line X Y) (or (tptp.distinct_points X Z) (tptp.apart_point_and_line Z Y)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.apart_point_and_line X Y) (or (tptp.distinct_lines Y Z) (tptp.apart_point_and_line X Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.convergent_lines X Y) (or (tptp.distinct_lines Y Z) (tptp.convergent_lines X Z)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.point A) (tptp.point B) (tptp.distinct_points A B)) (tptp.line (tptp.line_connecting A B)))) (forall ((L $$unsorted) (M $$unsorted)) (=> (and (tptp.line L) (tptp.line M) (tptp.convergent_lines L M)) (tptp.point (tptp.intersection_point L M)))) (forall ((L $$unsorted) (A $$unsorted)) (=> (and (tptp.line L) (tptp.point A)) (tptp.line (tptp.parallel_through_point L A)))) (forall ((L $$unsorted) (A $$unsorted)) (=> (and (tptp.line L) (tptp.point A)) (tptp.line (tptp.orthogonal_through_point L A)))) _let_1 true)))))))))))))))))))))))))))))))))
% 0.17/0.46 )
% 0.17/0.46 % SZS output end Proof for GEO225+1
% 0.17/0.46 % cvc5---1.0.5 exiting
% 0.17/0.46 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------