TSTP Solution File: GEO196+2 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO196+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 22:50:21 EDT 2023
% Result : Theorem 0.34s 0.54s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO196+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n022.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 : Tue Aug 29 21:21:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.34/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.vVvX81FC6i/cvc5---1.0.5_28158.p...
% 0.34/0.54 ------- get file name : TPTP file name is GEO196+2
% 0.34/0.54 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_28158.smt2...
% 0.34/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.34/0.54 % SZS status Theorem for GEO196+2
% 0.34/0.54 % SZS output start Proof for GEO196+2
% 0.34/0.54 (
% 0.34/0.54 (let ((_let_1 (not (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.intersection_point U V))) (let ((_let_2 (tptp.intersection_point X Y))) (=> (and (tptp.convergent_lines X Y) (tptp.convergent_lines U V) (not (tptp.apart_point_and_line _let_2 U)) (not (tptp.apart_point_and_line _let_2 V))) (and (not (tptp.apart_point_and_line _let_1 X)) (not (tptp.apart_point_and_line _let_1 Y)))))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.convergent_lines X Y) (tptp.distinct_lines X Y))))) (let ((_let_3 (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)))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.convergent_lines X Y) (=> (or (tptp.apart_point_and_line Z X) (tptp.apart_point_and_line Z Y)) (tptp.distinct_points Z (tptp.intersection_point X Y))))))) (let ((_let_5 (forall ((X $$unsorted)) (not (tptp.distinct_points X X))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.distinct_points X Y)) (not (tptp.distinct_lines U V)) (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))))) (let ((_let_7 (tptp.intersection_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (tptp.apart_point_and_line _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_9 (tptp.apart_point_and_line _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (tptp.intersection_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_11 (tptp.apart_point_and_line _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_12 (tptp.apart_point_and_line _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_13 (tptp.distinct_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.distinct_points _let_10 _let_7))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_14 _let_12 _let_11 _let_9 _let_8))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (not _let_17))) (let ((_let_20 (not _let_11))) (let ((_let_21 (not _let_12))) (let ((_let_22 (and _let_21 _let_20))) (let ((_let_23 (tptp.distinct_points _let_10 _let_10))) (let ((_let_24 (tptp.convergent_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_22 _let_23))) (let ((_let_27 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.convergent_lines X Y)) (and (not (tptp.apart_point_and_line Z X)) (not (tptp.apart_point_and_line Z Y))) (tptp.distinct_points Z (tptp.intersection_point X Y)))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (_let_27))) (let ((_let_30 (_let_5))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (and (not (tptp.apart_point_and_line _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (tptp.apart_point_and_line _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_33 (tptp.convergent_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_25 _let_9 _let_8 _let_32))) (let ((_let_36 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.intersection_point U V))) (let ((_let_2 (tptp.intersection_point X Y))) (or (not (tptp.convergent_lines X Y)) (not (tptp.convergent_lines U V)) (tptp.apart_point_and_line _let_2 U) (tptp.apart_point_and_line _let_2 V) (and (not (tptp.apart_point_and_line _let_1 X)) (not (tptp.apart_point_and_line _let_1 Y))))))))) (let ((_let_37 (not _let_35))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (or))) (let ((_let_40 (not _let_36))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_38) :args (_let_40))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_36))) (REFL :args (_let_37)) :args _let_39)) _let_38 :args (_let_37 true _let_36)))) (let ((_let_42 (REFL :args (_let_35)))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 1)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_39)) :args ((or _let_24 _let_35))) _let_41 :args (_let_24 true _let_35)))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_23 _let_22 (not _let_26)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.distinct_points X X) false))))) :args _let_30)) _let_31 :args ((not _let_23) false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_10 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.distinct_points Z (tptp.intersection_point X Y)) true))))) :args _let_29)) _let_28 :args (_let_26 false _let_27)) :args (_let_22 false _let_24 true _let_23 false _let_26)))) (let ((_let_45 (not _let_22))) (let ((_let_46 (or _let_34 _let_32 _let_15))) (let ((_let_47 (or _let_25 _let_13))) (let ((_let_48 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.convergent_lines X Y)) (tptp.distinct_lines X Y))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_10 _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.distinct_lines U V) false)) (not (= (tptp.apart_point_and_line X U) true)) (not (= (tptp.apart_point_and_line Y U) true))))) :args (_let_6))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_9 _let_8 _let_14 _let_16 _let_12 _let_11 _let_19))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_35 2)) _let_41 :args ((not _let_9) true _let_35)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_35 3)) _let_41 :args ((not _let_8) true _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_25 _let_13 (not _let_47)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.convergent_lines X Y) false))))) :args (_let_48))) _let_49 :args (_let_47 false _let_48)) :args (_let_13 false _let_24 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_34 _let_32 _let_15 (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_39)) :args ((or _let_33 _let_35))) _let_41 :args (_let_33 true _let_35)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_35 4)) _let_41 :args ((not _let_32) true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.convergent_lines X Y) false)) (tptp.apart_point_and_line Z X)))) :args _let_29)) _let_28 :args (_let_46 false _let_27)) :args (_let_15 false _let_33 true _let_32 false _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 0)) :args ((or _let_21 _let_45))) _let_44 :args (_let_21 false _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 1)) :args ((or _let_20 _let_45))) _let_44 :args (_let_20 false _let_22)) :args (_let_19 true _let_9 true _let_8 false _let_13 false _let_15 true _let_12 true _let_11)) _let_18 :args (false true _let_17 false _let_6)) :args (_let_5 (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)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.distinct_points X Y) (=> (tptp.apart_point_and_line Z (tptp.line_connecting X Y)) (and (tptp.distinct_points Z X) (tptp.distinct_points Z Y))))) _let_4 _let_3 (forall ((X $$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)))) _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.34/0.54 )
% 0.34/0.54 % SZS output end Proof for GEO196+2
% 0.34/0.54 % cvc5---1.0.5 exiting
% 0.34/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------