%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO054-2 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:16:13 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO054-2 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 23:12:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- 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 % 0.31/0.56 ( % 0.31/0.56 (declare-sort $$unsorted 0) % 0.31/0.56 (declare-const tptp.u $$unsorted) % 0.31/0.56 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.56 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.56 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 0.31/0.56 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 0.31/0.56 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.56 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 0.31/0.56 (declare-const tptp.v $$unsorted) % 0.31/0.56 (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.56 (declare-const tptp.reflection (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.56 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.56 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.56 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.31/0.56 (define @t2 () (@var "Y" $$unsorted)) % 0.31/0.56 (define @t3 () (@list @t1 @t2)) % 0.31/0.56 (define @t4 () (@var "W" $$unsorted)) % 0.31/0.56 (define @t5 () (@var "V2" $$unsorted)) % 0.31/0.56 (define @t6 () (@var "V" $$unsorted)) % 0.31/0.56 (define @t7 () (@var "Z" $$unsorted)) % 0.31/0.56 (define @t8 () (= @t1 @t2)) % 0.31/0.56 (define @t9 () (tptp.extension @t1 @t2 @t4 @t6)) % 0.31/0.56 (define @t10 () (forall (@list @t1 @t2 @t4 @t6) (tptp.between @t1 @t2 @t9))) % 0.31/0.56 (define @t11 () (@var "V1" $$unsorted)) % 0.31/0.56 (define @t12 () (@var "Z1" $$unsorted)) % 0.31/0.56 (define @t13 () (@var "Y1" $$unsorted)) % 0.31/0.56 (define @t14 () (@var "X1" $$unsorted)) % 0.31/0.56 (define @t15 () (tptp.between @t1 @t2 @t7)) % 0.31/0.56 (define @t16 () (@var "U" $$unsorted)) % 0.31/0.56 (define @t17 () (tptp.inner_pasch @t16 @t6 @t4 @t1 @t2)) % 0.31/0.56 (define @t18 () (not (tptp.between @t2 @t1 @t4))) % 0.31/0.56 (define @t19 () (not (tptp.between @t16 @t6 @t4))) % 0.31/0.56 (define @t20 () (@list @t16 @t6 @t4 @t2 @t1)) % 0.31/0.56 (define @t21 () (tptp.euclid1 @t16 @t6 @t4 @t1 @t2)) % 0.31/0.56 (define @t22 () (= @t16 @t4)) % 0.31/0.56 (define @t23 () (not (tptp.between @t6 @t4 @t1))) % 0.31/0.56 (define @t24 () (not (tptp.between @t16 @t4 @t2))) % 0.31/0.56 (define @t25 () (@list @t16 @t4 @t2 @t6 @t1)) % 0.31/0.56 (define @t26 () (tptp.euclid2 @t16 @t6 @t4 @t1 @t2)) % 0.31/0.56 (define @t27 () (tptp.continuous @t16 @t6 @t11 @t4 @t1 @t14)) % 0.31/0.56 (define @t28 () (not (tptp.between @t16 @t6 @t1))) % 0.31/0.56 (define @t29 () (not (tptp.equidistant @t16 @t1 @t16 @t14))) % 0.31/0.56 (define @t30 () (not (tptp.equidistant @t16 @t6 @t16 @t11))) % 0.31/0.56 (define @t31 () (@list @t16 @t6 @t11 @t1 @t14 @t4)) % 0.31/0.56 (define @t32 () (tptp.between tptp.u tptp.v (tptp.extension tptp.u tptp.v tptp.u tptp.v))) % 0.31/0.56 (assume @p1 (forall @t3 (tptp.equidistant @t1 @t2 @t2 @t1))) % 0.31/0.56 (assume @p2 (forall (@list @t1 @t2 @t7 @t6 @t5 @t4) (or (not (tptp.equidistant @t1 @t2 @t7 @t6)) (not (tptp.equidistant @t1 @t2 @t5 @t4)) (tptp.equidistant @t7 @t6 @t5 @t4)))) % 0.31/0.56 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.equidistant @t1 @t2 @t7 @t7)) @t8))) % 0.31/0.56 (assume @p4 @t10) % 0.31/0.56 (assume @p5 (forall (@list @t2 @t1 @t4 @t6) (tptp.equidistant @t2 @t9 @t4 @t6))) % 0.31/0.56 (assume @p6 (forall (@list @t1 @t2 @t14 @t13 @t7 @t12 @t6 @t11) (or (not (tptp.equidistant @t1 @t2 @t14 @t13)) (not (tptp.equidistant @t2 @t7 @t13 @t12)) (not (tptp.equidistant @t1 @t6 @t14 @t11)) (not (tptp.equidistant @t2 @t6 @t13 @t11)) (not @t15) (not (tptp.between @t14 @t13 @t12)) @t8 (tptp.equidistant @t7 @t6 @t12 @t11)))) % 0.31/0.56 (assume @p7 (forall @t3 (or (not (tptp.between @t1 @t2 @t1)) @t8))) % 0.31/0.56 (assume @p8 (forall @t20 (or @t19 @t18 (tptp.between @t6 @t17 @t2)))) % 0.31/0.56 (assume @p9 (forall @t20 (or @t19 @t18 (tptp.between @t1 @t17 @t16)))) % 0.31/0.56 (assume @p10 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 0.31/0.56 (assume @p11 (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) % 0.31/0.56 (assume @p12 (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 0.31/0.56 (assume @p13 (forall (@list @t1 @t4 @t6 @t2 @t7) (or (not (tptp.equidistant @t1 @t4 @t1 @t6)) (not (tptp.equidistant @t2 @t4 @t2 @t6)) (not (tptp.equidistant @t7 @t4 @t7 @t6)) @t15 (tptp.between @t2 @t7 @t1) (tptp.between @t7 @t1 @t2) (= @t4 @t6)))) % 0.31/0.56 (assume @p14 (forall @t25 (or @t24 @t23 @t22 (tptp.between @t16 @t6 @t21)))) % 0.31/0.56 (assume @p15 (forall @t25 (or @t24 @t23 @t22 (tptp.between @t16 @t1 @t26)))) % 0.31/0.56 (assume @p16 (forall @t25 (or @t24 @t23 @t22 (tptp.between @t21 @t2 @t26)))) % 0.31/0.56 (assume @p17 (forall @t31 (or @t30 @t29 @t28 @t23 (tptp.between @t11 @t27 @t14)))) % 0.31/0.56 (assume @p18 (forall @t31 (or @t30 @t29 @t28 @t23 (tptp.equidistant @t16 @t4 @t16 @t27)))) % 0.31/0.56 (assume @p19 (forall (@list @t16 @t6) (= (tptp.reflection @t16 @t6) (tptp.extension @t16 @t6 @t16 @t6)))) % 0.31/0.56 (assume @p20 (not (tptp.between tptp.u tptp.v (tptp.reflection tptp.u tptp.v)))) % 0.31/0.56 (step @p21 :rule false_intro :premises (@p20)) % 0.31/0.56 (step @p22 :rule instantiate :premises (@p19) :args ((@list tptp.u tptp.v))) % 0.31/0.56 (step @p23 :rule symm :premises (@p22)) % 0.31/0.56 (step @p24 :rule refl :args (tptp.v)) % 0.31/0.56 (step @p25 :rule refl :args (tptp.u)) % 0.31/0.56 (step @p26 :rule cong :premises (@p25 @p24 @p23) :args (@t32)) % 0.31/0.56 (step @p27 :rule trans :premises (@p26 @p21)) % 0.31/0.56 (step @p28 :rule false_elim :premises (@p27)) % 0.31/0.56 (assume-push @p35 @t10) % 0.31/0.56 (step @p30 :rule instantiate :premises (@p4) :args ((@list tptp.u tptp.v tptp.u tptp.v))) % 0.31/0.56 (step-pop @p36 :rule scope :premises (@p30)) % 0.31/0.56 (step @p31 :rule process_scope :premises (@p36) :args (@t32)) % 0.31/0.56 (step @p33 :rule implies_elim :premises (@p31)) % 0.31/0.56 (step @p34 false :rule chain_m_resolution :premises (@p33 @p28 @p4) :args (false (@list true false) (@list @t32 @t10))) % 0.31/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------