%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO016-3 : 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 : n028.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 08:16:06 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO016-3 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n028.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 23:07:50 EDT 2026 % 0.15/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Unsatisfiable % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.u $$unsorted) % 0.38/0.57 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.x $$unsorted) % 0.38/0.57 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 0.38/0.57 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.w $$unsorted) % 0.38/0.57 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 0.38/0.57 (declare-const tptp.v $$unsorted) % 0.38/0.57 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 0.38/0.57 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "Y" $$unsorted)) % 0.38/0.57 (define @t3 () (@list @t1 @t2)) % 0.38/0.57 (define @t4 () (forall @t3 (tptp.equidistant @t1 @t2 @t2 @t1))) % 0.38/0.57 (define @t5 () (@var "W" $$unsorted)) % 0.38/0.57 (define @t6 () (@var "V2" $$unsorted)) % 0.38/0.57 (define @t7 () (@var "V" $$unsorted)) % 0.38/0.57 (define @t8 () (@var "Z" $$unsorted)) % 0.38/0.57 (define @t9 () (= @t1 @t2)) % 0.38/0.57 (define @t10 () (tptp.extension @t1 @t2 @t5 @t7)) % 0.38/0.57 (define @t11 () (@var "V1" $$unsorted)) % 0.38/0.57 (define @t12 () (@var "Z1" $$unsorted)) % 0.38/0.57 (define @t13 () (@var "Y1" $$unsorted)) % 0.38/0.57 (define @t14 () (@var "X1" $$unsorted)) % 0.38/0.57 (define @t15 () (tptp.between @t1 @t2 @t8)) % 0.38/0.57 (define @t16 () (@var "U" $$unsorted)) % 0.38/0.57 (define @t17 () (tptp.inner_pasch @t16 @t7 @t5 @t1 @t2)) % 0.38/0.57 (define @t18 () (not (tptp.between @t2 @t1 @t5))) % 0.38/0.57 (define @t19 () (not (tptp.between @t16 @t7 @t5))) % 0.38/0.57 (define @t20 () (@list @t16 @t7 @t5 @t2 @t1)) % 0.38/0.57 (define @t21 () (tptp.euclid1 @t16 @t7 @t5 @t1 @t2)) % 0.38/0.57 (define @t22 () (= @t16 @t5)) % 0.38/0.57 (define @t23 () (not (tptp.between @t7 @t5 @t1))) % 0.38/0.57 (define @t24 () (not (tptp.between @t16 @t5 @t2))) % 0.38/0.57 (define @t25 () (@list @t16 @t5 @t2 @t7 @t1)) % 0.38/0.57 (define @t26 () (tptp.euclid2 @t16 @t7 @t5 @t1 @t2)) % 0.38/0.57 (define @t27 () (tptp.continuous @t16 @t7 @t11 @t5 @t1 @t14)) % 0.38/0.57 (define @t28 () (not (tptp.between @t16 @t7 @t1))) % 0.38/0.57 (define @t29 () (not (tptp.equidistant @t16 @t1 @t16 @t14))) % 0.38/0.57 (define @t30 () (not (tptp.equidistant @t16 @t7 @t16 @t11))) % 0.38/0.57 (define @t31 () (@list @t16 @t7 @t11 @t1 @t14 @t5)) % 0.38/0.57 (define @t32 () (tptp.equidistant tptp.u tptp.v tptp.w tptp.x)) % 0.38/0.57 (define @t33 () (tptp.equidistant tptp.v tptp.u tptp.w tptp.x)) % 0.38/0.57 (define @t34 () (tptp.equidistant tptp.w tptp.x tptp.v tptp.u)) % 0.38/0.57 (define @t35 () (not @t34)) % 0.38/0.57 (define @t36 () (or @t35 @t33)) % 0.38/0.57 (define @t37 () (@list true false)) % 0.38/0.57 (define @t38 () (tptp.equidistant tptp.u tptp.v tptp.v tptp.u)) % 0.38/0.57 (define @t39 () (not @t38)) % 0.38/0.57 (define @t40 () (not @t32)) % 0.38/0.57 (define @t41 () (or @t40 @t39 @t34)) % 0.38/0.57 (assume @p1 @t4) % 0.38/0.57 (assume @p2 (forall (@list @t1 @t2 @t8 @t7 @t6 @t5) (or (not (tptp.equidistant @t1 @t2 @t8 @t7)) (not (tptp.equidistant @t1 @t2 @t6 @t5)) (tptp.equidistant @t8 @t7 @t6 @t5)))) % 0.38/0.57 (assume @p3 (forall (@list @t1 @t2 @t8) (or (not (tptp.equidistant @t1 @t2 @t8 @t8)) @t9))) % 0.38/0.57 (assume @p4 (forall (@list @t1 @t2 @t5 @t7) (tptp.between @t1 @t2 @t10))) % 0.38/0.57 (assume @p5 (forall (@list @t2 @t1 @t5 @t7) (tptp.equidistant @t2 @t10 @t5 @t7))) % 0.38/0.57 (assume @p6 (forall (@list @t1 @t2 @t14 @t13 @t8 @t12 @t7 @t11) (or (not (tptp.equidistant @t1 @t2 @t14 @t13)) (not (tptp.equidistant @t2 @t8 @t13 @t12)) (not (tptp.equidistant @t1 @t7 @t14 @t11)) (not (tptp.equidistant @t2 @t7 @t13 @t11)) (not @t15) (not (tptp.between @t14 @t13 @t12)) @t9 (tptp.equidistant @t8 @t7 @t12 @t11)))) % 0.38/0.57 (assume @p7 (forall @t3 (or (not (tptp.between @t1 @t2 @t1)) @t9))) % 0.38/0.57 (assume @p8 (forall @t20 (or @t19 @t18 (tptp.between @t7 @t17 @t2)))) % 0.38/0.57 (assume @p9 (forall @t20 (or @t19 @t18 (tptp.between @t1 @t17 @t16)))) % 0.38/0.57 (assume @p10 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 0.38/0.57 (assume @p11 (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) % 0.38/0.57 (assume @p12 (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 0.38/0.57 (assume @p13 (forall (@list @t1 @t5 @t7 @t2 @t8) (or (not (tptp.equidistant @t1 @t5 @t1 @t7)) (not (tptp.equidistant @t2 @t5 @t2 @t7)) (not (tptp.equidistant @t8 @t5 @t8 @t7)) @t15 (tptp.between @t2 @t8 @t1) (tptp.between @t8 @t1 @t2) (= @t5 @t7)))) % 0.38/0.57 (assume @p14 (forall @t25 (or @t24 @t23 @t22 (tptp.between @t16 @t7 @t21)))) % 0.38/0.57 (assume @p15 (forall @t25 (or @t24 @t23 @t22 (tptp.between @t16 @t1 @t26)))) % 0.38/0.57 (assume @p16 (forall @t25 (or @t24 @t23 @t22 (tptp.between @t21 @t2 @t26)))) % 0.38/0.57 (assume @p17 (forall @t31 (or @t30 @t29 @t28 @t23 (tptp.between @t11 @t27 @t14)))) % 0.38/0.57 (assume @p18 (forall @t31 (or @t30 @t29 @t28 @t23 (tptp.equidistant @t16 @t5 @t16 @t27)))) % 0.38/0.57 (assume @p19 (forall (@list @t16 @t7) (tptp.equidistant @t16 @t7 @t16 @t7))) % 0.38/0.57 (assume @p20 (forall (@list @t16 @t7 @t5 @t1) (or (not (tptp.equidistant @t16 @t7 @t5 @t1)) (tptp.equidistant @t5 @t1 @t16 @t7)))) % 0.38/0.57 (assume @p21 @t32) % 0.38/0.57 (assume @p22 (not @t33)) % 0.38/0.57 (step @p23 :rule instantiate :premises (@p2) :args ((@list tptp.u tptp.v tptp.w tptp.x tptp.v tptp.u))) % 0.38/0.57 (step @p24 :rule instantiate :premises (@p20) :args ((@list tptp.w tptp.x tptp.v tptp.u))) % 0.38/0.57 (step @p25 :rule cnf_or_pos :args (@t36)) % 0.38/0.57 (step @p26 :rule reordering :premises (@p25) :args ((or @t33 @t35 (not @t36)))) % 0.38/0.57 (step @p27 :rule chain_m_resolution :premises (@p26 @p22 @p24) :args (@t35 @t37 (@list @t33 @t36))) % 0.38/0.57 (step @p28 :rule cnf_or_pos :args (@t41)) % 0.38/0.57 (step @p29 :rule reordering :premises (@p28) :args ((or @t40 @t34 @t39 (not @t41)))) % 0.38/0.57 (step @p30 :rule chain_m_resolution :premises (@p29 @p21 @p27 @p23) :args (@t39 (@list false true false) (@list @t32 @t34 @t41))) % 0.38/0.57 (assume-push @p37 @t4) % 0.38/0.57 (step @p32 :rule instantiate :premises (@p1) :args ((@list tptp.u tptp.v))) % 0.38/0.57 (step-pop @p38 :rule scope :premises (@p32)) % 0.38/0.57 (step @p33 :rule process_scope :premises (@p38) :args (@t38)) % 0.38/0.57 (step @p35 :rule implies_elim :premises (@p33)) % 0.38/0.57 (step @p36 false :rule chain_m_resolution :premises (@p35 @p30 @p1) :args (false @t37 (@list @t38 @t4))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------