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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GEO011-5 : TPTP v9.2.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 Jun  3 08:16:05 AM UTC 2026

% Result   : Unsatisfiable 0.31s 0.55s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO011-5 : TPTP v9.2.1. Released v1.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.33  % Computer : n002.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit : 300
% 0.16/0.33  % WCLimit  : 300
% 0.16/0.33  % DateTime : Mon Jun  1 23:07:18 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.31/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.31/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.31/0.55  % SZS status Unsatisfiable
% 0.31/0.55  % SZS output start Proof
% 0.31/0.55  (
% 0.31/0.55  (declare-sort $$unsorted 0)
% 0.31/0.55  (declare-const tptp.lower_dimension_point_1 $$unsorted)
% 0.31/0.55  (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.31/0.55  (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.31/0.55  (declare-const tptp.equal_distance (-> $$unsorted $$unsorted Bool))
% 0.31/0.55  (declare-const tptp.distance (-> $$unsorted $$unsorted $$unsorted))
% 0.31/0.55  (declare-const tptp.lower_dimension_point_2 $$unsorted)
% 0.31/0.55  (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.31/0.55  (declare-const tptp.lower_dimension_point_3 $$unsorted)
% 0.31/0.55  (declare-const tptp.colinear (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.31/0.55  (define @t1 () (@var "Z" $$unsorted))
% 0.31/0.55  (define @t2 () (@var "Y" $$unsorted))
% 0.31/0.55  (define @t3 () (@var "X" $$unsorted))
% 0.31/0.55  (define @t4 () (tptp.colinear @t3 @t2 @t1))
% 0.31/0.55  (define @t5 () (tptp.between @t3 @t2 @t1))
% 0.31/0.55  (define @t6 () (not @t5))
% 0.31/0.55  (define @t7 () (@list @t3 @t2 @t1))
% 0.31/0.55  (define @t8 () (tptp.between @t2 @t1 @t3))
% 0.31/0.55  (define @t9 () (tptp.between @t1 @t3 @t2))
% 0.31/0.55  (define @t10 () (forall @t7 (or (not @t4) @t5 @t8 @t9)))
% 0.31/0.55  (define @t11 () (tptp.distance @t3 @t2))
% 0.31/0.55  (define @t12 () (@list @t3 @t2))
% 0.31/0.55  (define @t13 () (@var "W" $$unsorted))
% 0.31/0.55  (define @t14 () (@var "V2" $$unsorted))
% 0.31/0.55  (define @t15 () (tptp.distance @t14 @t13))
% 0.31/0.55  (define @t16 () (@var "V" $$unsorted))
% 0.31/0.55  (define @t17 () (tptp.distance @t1 @t16))
% 0.31/0.55  (define @t18 () (= @t3 @t2))
% 0.31/0.55  (define @t19 () (tptp.extension @t3 @t2 @t13 @t16))
% 0.31/0.55  (define @t20 () (@var "V1" $$unsorted))
% 0.31/0.55  (define @t21 () (@var "Z1" $$unsorted))
% 0.31/0.55  (define @t22 () (@var "Y1" $$unsorted))
% 0.31/0.55  (define @t23 () (@var "X1" $$unsorted))
% 0.31/0.55  (define @t24 () (@var "U" $$unsorted))
% 0.31/0.55  (define @t25 () (tptp.inner_pasch @t24 @t16 @t13 @t3 @t2))
% 0.31/0.55  (define @t26 () (not (tptp.between @t2 @t3 @t13)))
% 0.31/0.55  (define @t27 () (not (tptp.between @t24 @t16 @t13)))
% 0.31/0.55  (define @t28 () (@list @t24 @t16 @t13 @t2 @t3))
% 0.31/0.55  (define @t29 () (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))
% 0.31/0.55  (define @t30 () (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))
% 0.31/0.55  (define @t31 () (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))
% 0.31/0.55  (define @t32 () (tptp.colinear tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))
% 0.31/0.55  (define @t33 () (not @t32))
% 0.31/0.55  (define @t34 () (or @t33 @t29 @t30 @t31))
% 0.31/0.55  (define @t35 () (not @t34))
% 0.31/0.55  (assume @p1 (forall @t7 (or @t6 @t4)))
% 0.31/0.55  (assume @p2 (forall (@list @t2 @t1 @t3) (or (not @t8) @t4)))
% 0.31/0.55  (assume @p3 (forall (@list @t1 @t3 @t2) (or (not @t9) @t4)))
% 0.31/0.55  (assume @p4 @t10)
% 0.31/0.55  (assume @p5 (forall @t12 (tptp.equal_distance @t11 (tptp.distance @t2 @t3))))
% 0.31/0.55  (assume @p6 (forall (@list @t3 @t2 @t1 @t16 @t14 @t13) (or (not (tptp.equal_distance @t11 @t17)) (not (tptp.equal_distance @t11 @t15)) (tptp.equal_distance @t17 @t15))))
% 0.31/0.55  (assume @p7 (forall @t7 (or (not (tptp.equal_distance @t11 (tptp.distance @t1 @t1))) @t18)))
% 0.31/0.55  (assume @p8 (forall (@list @t3 @t2 @t13 @t16) (tptp.between @t3 @t2 @t19)))
% 0.31/0.55  (assume @p9 (forall (@list @t2 @t3 @t13 @t16) (tptp.equal_distance (tptp.distance @t2 @t19) (tptp.distance @t13 @t16))))
% 0.31/0.55  (assume @p10 (forall (@list @t3 @t2 @t23 @t22 @t1 @t21 @t16 @t20) (or (not (tptp.equal_distance @t11 (tptp.distance @t23 @t22))) (not (tptp.equal_distance (tptp.distance @t2 @t1) (tptp.distance @t22 @t21))) (not (tptp.equal_distance (tptp.distance @t3 @t16) (tptp.distance @t23 @t20))) (not (tptp.equal_distance (tptp.distance @t2 @t16) (tptp.distance @t22 @t20))) @t6 (not (tptp.between @t23 @t22 @t21)) @t18 (tptp.equal_distance @t17 (tptp.distance @t21 @t20)))))
% 0.31/0.55  (assume @p11 (forall @t12 (or (not (tptp.between @t3 @t2 @t3)) @t18)))
% 0.31/0.55  (assume @p12 (forall @t28 (or @t27 @t26 (tptp.between @t16 @t25 @t2))))
% 0.31/0.55  (assume @p13 (forall @t28 (or @t27 @t26 (tptp.between @t3 @t25 @t24))))
% 0.31/0.55  (assume @p14 (not @t29))
% 0.31/0.55  (assume @p15 (not @t30))
% 0.31/0.55  (assume @p16 (not @t31))
% 0.31/0.55  (assume @p17 @t32)
% 0.31/0.55  (step @p18 :rule cnf_or_pos :args (@t34))
% 0.31/0.55  (step @p19 :rule reordering :premises (@p18) :args ((or @t29 @t30 @t31 @t33 @t35)))
% 0.31/0.55  (step @p20 :rule chain_m_resolution :premises (@p19 @p14 @p15 @p16 @p17) :args (@t35 (@list true true true false) (@list @t29 @t30 @t31 @t32)))
% 0.31/0.55  (assume-push @p27 @t10)
% 0.31/0.55  (step @p22 :rule instantiate :premises (@p4) :args ((@list tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3)))
% 0.31/0.55  (step-pop @p28 :rule scope :premises (@p22))
% 0.31/0.55  (step @p23 :rule process_scope :premises (@p28) :args (@t34))
% 0.31/0.55  (step @p25 :rule implies_elim :premises (@p23))
% 0.31/0.55  (step @p26 false :rule chain_m_resolution :premises (@p25 @p20 @p4) :args (false (@list true false) (@list @t34 @t10)))
% 0.31/0.55  )
% 0.31/0.55  % SZS output end Proof
% 0.31/0.55  % cvc5 exiting
%------------------------------------------------------------------------------