TSTP Solution File: GEO024-3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO024-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 22:49:15 EDT 2023
% Result : Unsatisfiable 20.47s 20.93s
% Output : Proof 20.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO024-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 23:35:41 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.fo1sZzEF9m/cvc5---1.0.5_6547.p...
% 0.20/0.51 ------- get file name : TPTP file name is GEO024-3
% 0.20/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6547.smt2...
% 0.20/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.30/10.67 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.38/15.76 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.42/20.86 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 20.47/20.93 % SZS status Unsatisfiable for GEO024-3
% 20.47/20.93 % SZS output start Proof for GEO024-3
% 20.47/20.93 (
% 20.47/20.93 (let ((_let_1 (tptp.equidistant tptp.u tptp.u tptp.v tptp.v))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((V $$unsorted) (U $$unsorted) (W $$unsorted)) (= V (tptp.extension U V W W))))) (let ((_let_4 (forall ((Y $$unsorted) (X $$unsorted) (W $$unsorted) (V $$unsorted)) (tptp.equidistant Y (tptp.extension X Y W V) W V)))) (let ((_let_5 (tptp.extension tptp.lower_dimension_point_2 tptp.u tptp.v tptp.v))) (let ((_let_6 (tptp.equidistant tptp.u _let_5 tptp.v tptp.v))) (let ((_let_7 (= tptp.u _let_5))) (let ((_let_8 (ASSUME :args (_let_2)))) (let ((_let_9 (_let_4))) (let ((_let_10 (ASSUME :args _let_9))) (let ((_let_11 (_let_3))) (let ((_let_12 (ASSUME :args _let_11))) (let ((_let_13 (ASSUME :args (_let_6)))) (let ((_let_14 (REFL :args (tptp.v)))) (let ((_let_15 (ASSUME :args (_let_7)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_13 _let_15 _let_8) :args (_let_2 _let_6 _let_7)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_8)) (CONG (REFL :args (tptp.u)) (SYMM (SYMM _let_15)) _let_14 _let_14 :args (APPLY_UF tptp.equidistant)) (TRUE_INTRO _let_13))) :args (_let_6 _let_7 _let_2)) :args ((not (and _let_2 _let_6 _let_7)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args ((not _let_6))) (REFL :args ((not _let_7))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (tptp.u tptp.lower_dimension_point_2 tptp.v QUANTIFIERS_INST_CBQI_PROP)) :args _let_11)) _let_12 :args (_let_7 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_10 :args (tptp.u tptp.lower_dimension_point_2 tptp.v tptp.v QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_9)) _let_10 :args (_let_6 false _let_4)) _let_8 :args (false false _let_7 false _let_6 true _let_1)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (tptp.equidistant X Y Y X)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (V $$unsorted) (V2 $$unsorted) (W $$unsorted)) (or (not (tptp.equidistant X Y Z V)) (not (tptp.equidistant X Y V2 W)) (tptp.equidistant Z V V2 W))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equidistant X Y Z Z)) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (V $$unsorted)) (tptp.between X Y (tptp.extension X Y W V))) _let_4 (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted) (Y1 $$unsorted) (Z $$unsorted) (Z1 $$unsorted) (V $$unsorted) (V1 $$unsorted)) (or (not (tptp.equidistant X Y X1 Y1)) (not (tptp.equidistant Y Z Y1 Z1)) (not (tptp.equidistant X V X1 V1)) (not (tptp.equidistant Y V Y1 V1)) (not (tptp.between X Y Z)) (not (tptp.between X1 Y1 Z1)) (= X Y) (tptp.equidistant Z V Z1 V1))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.between X Y X)) (= X Y))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (Y $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between Y X W)) (tptp.between V (tptp.inner_pasch U V W X Y) Y))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (Y $$unsorted) (X $$unsorted)) (or (not (tptp.between U V W)) (not (tptp.between Y X W)) (tptp.between X (tptp.inner_pasch U V W X Y) U))) (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3)) (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1)) (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) (forall ((X $$unsorted) (W $$unsorted) (V $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equidistant X W X V)) (not (tptp.equidistant Y W Y V)) (not (tptp.equidistant Z W Z V)) (tptp.between X Y Z) (tptp.between Y Z X) (tptp.between Z X Y) (= W V))) (forall ((U $$unsorted) (W $$unsorted) (Y $$unsorted) (V $$unsorted) (X $$unsorted)) (or (not (tptp.between U W Y)) (not (tptp.between V W X)) (= U W) (tptp.between U V (tptp.euclid1 U V W X Y)))) (forall ((U $$unsorted) (W $$unsorted) (Y $$unsorted) (V $$unsorted) (X $$unsorted)) (or (not (tptp.between U W Y)) (not (tptp.between V W X)) (= U W) (tptp.between U X (tptp.euclid2 U V W X Y)))) (forall ((U $$unsorted) (W $$unsorted) (Y $$unsorted) (V $$unsorted) (X $$unsorted)) (or (not (tptp.between U W Y)) (not (tptp.between V W X)) (= U W) (tptp.between (tptp.euclid1 U V W X Y) Y (tptp.euclid2 U V W X Y)))) (forall ((U $$unsorted) (V $$unsorted) (V1 $$unsorted) (X $$unsorted) (X1 $$unsorted) (W $$unsorted)) (or (not (tptp.equidistant U V U V1)) (not (tptp.equidistant U X U X1)) (not (tptp.between U V X)) (not (tptp.between V W X)) (tptp.between V1 (tptp.continuous U V V1 W X X1) X1))) (forall ((U $$unsorted) (V $$unsorted) (V1 $$unsorted) (X $$unsorted) (X1 $$unsorted) (W $$unsorted)) (or (not (tptp.equidistant U V U V1)) (not (tptp.equidistant U X U X1)) (not (tptp.between U V X)) (not (tptp.between V W X)) (tptp.equidistant U W U (tptp.continuous U V V1 W X X1)))) (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.reflection U V) (tptp.extension U V U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.equidistant U V U V)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant W X U V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant V U W X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant U V X W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant V U X W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant W X V U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant X W U V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.equidistant U V W X)) (tptp.equidistant X W V U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equidistant U V W X)) (not (tptp.equidistant W X Y Z)) (tptp.equidistant U V Y Z))) _let_3 (forall ((Y $$unsorted) (U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= Y (tptp.extension U V W X))) (tptp.between U V Y))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.between U V (tptp.reflection U V))) (forall ((V $$unsorted) (U $$unsorted)) (tptp.equidistant V (tptp.reflection U V) U V)) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (= V (tptp.reflection U V)))) (forall ((U $$unsorted)) (= U (tptp.reflection U U))) (forall ((V $$unsorted) (U $$unsorted)) (or (not (= V (tptp.reflection U V))) (= U V))) _let_2))))))))))))))))))
% 20.47/20.93 )
% 20.47/20.94 % SZS output end Proof for GEO024-3
% 20.47/20.94 % cvc5---1.0.5 exiting
% 20.47/20.94 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------