%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO024-3 : 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 : n004.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 08:16:08 AM UTC 2026 % Result : Unsatisfiable 27.54s 27.76s % Output : Proof 27.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO024-3 : 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 % 0.16/0.34 % Computer : n004.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 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Mon Jun 1 23:09:07 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.42/15.65 --- Run --no-e-matching --full-saturate-quant at 6... % 21.44/21.68 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.54/27.71 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.54/27.76 % SZS status Unsatisfiable % 27.54/27.76 % SZS output start Proof % 27.54/27.76 ( % 27.54/27.76 (declare-sort $$unsorted 0) % 27.54/27.76 (declare-const tptp.v $$unsorted) % 27.54/27.76 (declare-const tptp.u $$unsorted) % 27.54/27.76 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 27.54/27.76 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 27.54/27.76 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 27.54/27.76 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 27.54/27.76 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 27.54/27.76 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 27.54/27.76 (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 27.54/27.76 (declare-const tptp.reflection (-> $$unsorted $$unsorted $$unsorted)) % 27.54/27.76 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 27.54/27.76 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 27.54/27.76 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 27.54/27.76 (define @t1 () (@var "X" $$unsorted)) % 27.54/27.76 (define @t2 () (@var "Y" $$unsorted)) % 27.54/27.76 (define @t3 () (@list @t1 @t2)) % 27.54/27.76 (define @t4 () (@var "W" $$unsorted)) % 27.54/27.76 (define @t5 () (@var "V2" $$unsorted)) % 27.54/27.76 (define @t6 () (@var "V" $$unsorted)) % 27.54/27.76 (define @t7 () (@var "Z" $$unsorted)) % 27.54/27.76 (define @t8 () (= @t1 @t2)) % 27.54/27.76 (define @t9 () (tptp.extension @t1 @t2 @t4 @t6)) % 27.54/27.76 (define @t10 () (@var "V1" $$unsorted)) % 27.54/27.76 (define @t11 () (@var "Z1" $$unsorted)) % 27.54/27.76 (define @t12 () (@var "Y1" $$unsorted)) % 27.54/27.76 (define @t13 () (@var "X1" $$unsorted)) % 27.54/27.76 (define @t14 () (tptp.between @t1 @t2 @t7)) % 27.54/27.76 (define @t15 () (@var "U" $$unsorted)) % 27.54/27.76 (define @t16 () (tptp.inner_pasch @t15 @t6 @t4 @t1 @t2)) % 27.54/27.76 (define @t17 () (not (tptp.between @t2 @t1 @t4))) % 27.54/27.76 (define @t18 () (not (tptp.between @t15 @t6 @t4))) % 27.54/27.76 (define @t19 () (@list @t15 @t6 @t4 @t2 @t1)) % 27.54/27.76 (define @t20 () (tptp.euclid1 @t15 @t6 @t4 @t1 @t2)) % 27.54/27.76 (define @t21 () (= @t15 @t4)) % 27.54/27.76 (define @t22 () (not (tptp.between @t6 @t4 @t1))) % 27.54/27.76 (define @t23 () (not (tptp.between @t15 @t4 @t2))) % 27.54/27.76 (define @t24 () (@list @t15 @t4 @t2 @t6 @t1)) % 27.54/27.76 (define @t25 () (tptp.euclid2 @t15 @t6 @t4 @t1 @t2)) % 27.54/27.76 (define @t26 () (tptp.continuous @t15 @t6 @t10 @t4 @t1 @t13)) % 27.54/27.76 (define @t27 () (not (tptp.between @t15 @t6 @t1))) % 27.54/27.76 (define @t28 () (not (tptp.equidistant @t15 @t1 @t15 @t13))) % 27.54/27.76 (define @t29 () (not (tptp.equidistant @t15 @t6 @t15 @t10))) % 27.54/27.76 (define @t30 () (@list @t15 @t6 @t10 @t1 @t13 @t4)) % 27.54/27.76 (define @t31 () (tptp.reflection @t15 @t6)) % 27.54/27.76 (define @t32 () (@list @t15 @t6)) % 27.54/27.76 (define @t33 () (not (tptp.equidistant @t15 @t6 @t4 @t1))) % 27.54/27.76 (define @t34 () (@list @t15 @t6 @t4 @t1)) % 27.54/27.76 (define @t35 () (@list @t6 @t15)) % 27.54/27.76 (define @t36 () (= @t6 @t31)) % 27.54/27.76 (define @t37 () (= @t15 @t6)) % 27.54/27.76 (define @t38 () (tptp.equidistant tptp.u tptp.u tptp.v tptp.v)) % 27.54/27.76 (assume @p1 (forall @t3 (tptp.equidistant @t1 @t2 @t2 @t1))) % 27.54/27.76 (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)))) % 27.54/27.76 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.equidistant @t1 @t2 @t7 @t7)) @t8))) % 27.54/27.76 (assume @p4 (forall (@list @t1 @t2 @t4 @t6) (tptp.between @t1 @t2 @t9))) % 27.54/27.76 (assume @p5 (forall (@list @t2 @t1 @t4 @t6) (tptp.equidistant @t2 @t9 @t4 @t6))) % 27.54/27.76 (assume @p6 (forall (@list @t1 @t2 @t13 @t12 @t7 @t11 @t6 @t10) (or (not (tptp.equidistant @t1 @t2 @t13 @t12)) (not (tptp.equidistant @t2 @t7 @t12 @t11)) (not (tptp.equidistant @t1 @t6 @t13 @t10)) (not (tptp.equidistant @t2 @t6 @t12 @t10)) (not @t14) (not (tptp.between @t13 @t12 @t11)) @t8 (tptp.equidistant @t7 @t6 @t11 @t10)))) % 27.54/27.76 (assume @p7 (forall @t3 (or (not (tptp.between @t1 @t2 @t1)) @t8))) % 27.54/27.76 (assume @p8 (forall @t19 (or @t18 @t17 (tptp.between @t6 @t16 @t2)))) % 27.54/27.76 (assume @p9 (forall @t19 (or @t18 @t17 (tptp.between @t1 @t16 @t15)))) % 27.54/27.76 (assume @p10 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 27.54/27.76 (assume @p11 (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) % 27.54/27.76 (assume @p12 (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 27.54/27.76 (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)) @t14 (tptp.between @t2 @t7 @t1) (tptp.between @t7 @t1 @t2) (= @t4 @t6)))) % 27.54/27.76 (assume @p14 (forall @t24 (or @t23 @t22 @t21 (tptp.between @t15 @t6 @t20)))) % 27.54/27.76 (assume @p15 (forall @t24 (or @t23 @t22 @t21 (tptp.between @t15 @t1 @t25)))) % 27.54/27.76 (assume @p16 (forall @t24 (or @t23 @t22 @t21 (tptp.between @t20 @t2 @t25)))) % 27.54/27.76 (assume @p17 (forall @t30 (or @t29 @t28 @t27 @t22 (tptp.between @t10 @t26 @t13)))) % 27.54/27.76 (assume @p18 (forall @t30 (or @t29 @t28 @t27 @t22 (tptp.equidistant @t15 @t4 @t15 @t26)))) % 27.54/27.76 (assume @p19 (forall @t32 (= @t31 (tptp.extension @t15 @t6 @t15 @t6)))) % 27.54/27.76 (assume @p20 (forall @t32 (tptp.equidistant @t15 @t6 @t15 @t6))) % 27.54/27.76 (assume @p21 (forall @t34 (or @t33 (tptp.equidistant @t4 @t1 @t15 @t6)))) % 27.54/27.76 (assume @p22 (forall @t34 (or @t33 (tptp.equidistant @t6 @t15 @t4 @t1)))) % 27.54/27.76 (assume @p23 (forall @t34 (or @t33 (tptp.equidistant @t15 @t6 @t1 @t4)))) % 27.54/27.76 (assume @p24 (forall @t34 (or @t33 (tptp.equidistant @t6 @t15 @t1 @t4)))) % 27.54/27.76 (assume @p25 (forall @t34 (or @t33 (tptp.equidistant @t4 @t1 @t6 @t15)))) % 27.54/27.76 (assume @p26 (forall @t34 (or @t33 (tptp.equidistant @t1 @t4 @t15 @t6)))) % 27.54/27.76 (assume @p27 (forall @t34 (or @t33 (tptp.equidistant @t1 @t4 @t6 @t15)))) % 27.54/27.76 (assume @p28 (forall (@list @t15 @t6 @t4 @t1 @t2 @t7) (or @t33 (not (tptp.equidistant @t4 @t1 @t2 @t7)) (tptp.equidistant @t15 @t6 @t2 @t7)))) % 27.54/27.76 (assume @p29 (forall (@list @t6 @t15 @t4) (= @t6 (tptp.extension @t15 @t6 @t4 @t4)))) % 27.54/27.76 (assume @p30 (forall (@list @t2 @t15 @t6 @t4 @t1) (or (not (= @t2 (tptp.extension @t15 @t6 @t4 @t1))) (tptp.between @t15 @t6 @t2)))) % 27.54/27.76 (assume @p31 (forall @t32 (tptp.between @t15 @t6 @t31))) % 27.54/27.76 (assume @p32 (forall @t35 (tptp.equidistant @t6 @t31 @t15 @t6))) % 27.54/27.76 (assume @p33 (forall @t32 (or (not @t37) @t36))) % 27.54/27.76 (assume @p34 (forall (@list @t15) (= @t15 (tptp.reflection @t15 @t15)))) % 27.54/27.76 (assume @p35 (forall @t35 (or (not @t36) @t37))) % 27.54/27.76 (assume @p36 (not @t38)) % 27.54/27.76 (step @p37 :rule evaluate :args ((= false true))) % 27.54/27.76 (step @p38 :rule instantiate :premises (@p5) :args ((@list tptp.u tptp.lower_dimension_point_2 tptp.v tptp.v))) % 27.54/27.76 (step @p39 :rule true_intro :premises (@p38)) % 27.54/27.76 (step @p40 :rule refl :args (tptp.v)) % 27.54/27.76 (step @p41 :rule instantiate :premises (@p29) :args ((@list tptp.u tptp.lower_dimension_point_2 tptp.v))) % 27.54/27.76 (step @p42 :rule refl :args (tptp.u)) % 27.54/27.76 (step @p43 :rule cong :premises (@p42 @p41 @p40 @p40) :args (@t38)) % 27.54/27.76 (step @p44 :rule false_intro :premises (@p36)) % 27.54/27.76 (step @p45 :rule symm :premises (@p44)) % 27.54/27.76 (step @p46 :rule trans :premises (@p45 @p43 @p39)) % 27.54/27.76 (step @p47 false :rule eq_resolve :premises (@p46 @p37)) % 27.54/27.76 ) % 27.54/27.76 % SZS output end Proof % 27.54/27.77 % cvc5 exiting %------------------------------------------------------------------------------