%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO011-4 : 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 : n012.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 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GEO011-4 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Mon Jun 1 23:07:03 EDT 2026 % 0.06/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.36 % SZS status Unsatisfiable % 0.15/0.36 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (declare-sort $$unsorted 0) % 0.15/0.36 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 0.15/0.36 (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.equal_distance (-> $$unsorted $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.distance (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 0.15/0.36 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 0.15/0.36 (declare-const tptp.colinear (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.36 (define @t1 () (@var "Z" $$unsorted)) % 0.15/0.36 (define @t2 () (@var "Y" $$unsorted)) % 0.15/0.36 (define @t3 () (@var "X" $$unsorted)) % 0.15/0.36 (define @t4 () (tptp.colinear @t3 @t2 @t1)) % 0.15/0.36 (define @t5 () (tptp.between @t3 @t2 @t1)) % 0.15/0.36 (define @t6 () (not @t5)) % 0.15/0.36 (define @t7 () (@list @t3 @t2 @t1)) % 0.15/0.36 (define @t8 () (tptp.between @t2 @t1 @t3)) % 0.15/0.36 (define @t9 () (tptp.between @t1 @t3 @t2)) % 0.15/0.36 (define @t10 () (forall @t7 (or (not @t4) @t5 @t8 @t9))) % 0.15/0.36 (define @t11 () (tptp.distance @t3 @t2)) % 0.15/0.36 (define @t12 () (@list @t3 @t2)) % 0.15/0.36 (define @t13 () (@var "W" $$unsorted)) % 0.15/0.36 (define @t14 () (@var "V2" $$unsorted)) % 0.15/0.36 (define @t15 () (tptp.distance @t14 @t13)) % 0.15/0.36 (define @t16 () (@var "V" $$unsorted)) % 0.15/0.36 (define @t17 () (tptp.distance @t1 @t16)) % 0.15/0.36 (define @t18 () (= @t3 @t2)) % 0.15/0.36 (define @t19 () (tptp.extension @t3 @t2 @t13 @t16)) % 0.15/0.36 (define @t20 () (@var "V1" $$unsorted)) % 0.15/0.36 (define @t21 () (@var "Z1" $$unsorted)) % 0.15/0.36 (define @t22 () (@var "Y1" $$unsorted)) % 0.15/0.36 (define @t23 () (@var "X1" $$unsorted)) % 0.15/0.36 (define @t24 () (tptp.distance @t2 @t16)) % 0.15/0.36 (define @t25 () (tptp.distance @t3 @t16)) % 0.15/0.36 (define @t26 () (@var "U" $$unsorted)) % 0.15/0.36 (define @t27 () (tptp.inner_pasch @t26 @t16 @t13 @t3 @t2)) % 0.15/0.36 (define @t28 () (not (tptp.between @t2 @t3 @t13))) % 0.15/0.36 (define @t29 () (not (tptp.between @t26 @t16 @t13))) % 0.15/0.36 (define @t30 () (@list @t26 @t16 @t13 @t2 @t3)) % 0.15/0.36 (define @t31 () (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3)) % 0.15/0.36 (define @t32 () (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1)) % 0.15/0.36 (define @t33 () (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) % 0.15/0.36 (define @t34 () (tptp.euclid1 @t26 @t16 @t13 @t3 @t2)) % 0.15/0.36 (define @t35 () (= @t26 @t13)) % 0.15/0.36 (define @t36 () (not (tptp.between @t16 @t13 @t3))) % 0.15/0.36 (define @t37 () (not (tptp.between @t26 @t13 @t2))) % 0.15/0.36 (define @t38 () (@list @t26 @t13 @t2 @t16 @t3)) % 0.15/0.36 (define @t39 () (tptp.euclid2 @t26 @t16 @t13 @t3 @t2)) % 0.15/0.36 (define @t40 () (tptp.continuous @t26 @t16 @t20 @t13 @t3 @t23)) % 0.15/0.36 (define @t41 () (not (tptp.between @t26 @t16 @t3))) % 0.15/0.36 (define @t42 () (not (tptp.equal_distance (tptp.distance @t26 @t3) (tptp.distance @t26 @t23)))) % 0.15/0.36 (define @t43 () (not (tptp.equal_distance (tptp.distance @t26 @t16) (tptp.distance @t26 @t20)))) % 0.15/0.36 (define @t44 () (@list @t26 @t16 @t20 @t3 @t23 @t13)) % 0.15/0.36 (define @t45 () (tptp.colinear tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3)) % 0.15/0.36 (define @t46 () (not @t45)) % 0.15/0.36 (define @t47 () (or @t46 @t31 @t32 @t33)) % 0.15/0.36 (define @t48 () (not @t47)) % 0.15/0.36 (assume @p1 (forall @t7 (or @t6 @t4))) % 0.15/0.36 (assume @p2 (forall (@list @t2 @t1 @t3) (or (not @t8) @t4))) % 0.15/0.36 (assume @p3 (forall (@list @t1 @t3 @t2) (or (not @t9) @t4))) % 0.15/0.36 (assume @p4 @t10) % 0.15/0.36 (assume @p5 (forall @t12 (tptp.equal_distance @t11 (tptp.distance @t2 @t3)))) % 0.15/0.36 (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)))) % 0.15/0.36 (assume @p7 (forall @t7 (or (not (tptp.equal_distance @t11 (tptp.distance @t1 @t1))) @t18))) % 0.15/0.36 (assume @p8 (forall (@list @t3 @t2 @t13 @t16) (tptp.between @t3 @t2 @t19))) % 0.15/0.36 (assume @p9 (forall (@list @t2 @t3 @t13 @t16) (tptp.equal_distance (tptp.distance @t2 @t19) (tptp.distance @t13 @t16)))) % 0.15/0.36 (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 @t25 (tptp.distance @t23 @t20))) (not (tptp.equal_distance @t24 (tptp.distance @t22 @t20))) @t6 (not (tptp.between @t23 @t22 @t21)) @t18 (tptp.equal_distance @t17 (tptp.distance @t21 @t20))))) % 0.15/0.36 (assume @p11 (forall @t12 (or (not (tptp.between @t3 @t2 @t3)) @t18))) % 0.15/0.36 (assume @p12 (forall @t30 (or @t29 @t28 (tptp.between @t16 @t27 @t2)))) % 0.15/0.36 (assume @p13 (forall @t30 (or @t29 @t28 (tptp.between @t3 @t27 @t26)))) % 0.15/0.36 (assume @p14 (not @t31)) % 0.15/0.36 (assume @p15 (not @t32)) % 0.15/0.36 (assume @p16 (not @t33)) % 0.15/0.36 (assume @p17 (forall (@list @t3 @t13 @t16 @t2 @t1) (or (not (tptp.equal_distance (tptp.distance @t3 @t13) @t25)) (not (tptp.equal_distance (tptp.distance @t2 @t13) @t24)) (not (tptp.equal_distance (tptp.distance @t1 @t13) @t17)) @t5 @t8 @t9 (= @t13 @t16)))) % 0.15/0.36 (assume @p18 (forall @t38 (or @t37 @t36 @t35 (tptp.between @t26 @t16 @t34)))) % 0.15/0.36 (assume @p19 (forall @t38 (or @t37 @t36 @t35 (tptp.between @t26 @t3 @t39)))) % 0.15/0.36 (assume @p20 (forall @t38 (or @t37 @t36 @t35 (tptp.between @t34 @t2 @t39)))) % 0.15/0.36 (assume @p21 (forall @t44 (or @t43 @t42 @t41 @t36 (tptp.between @t20 @t40 @t23)))) % 0.15/0.36 (assume @p22 (forall @t44 (or @t43 @t42 @t41 @t36 (tptp.equal_distance (tptp.distance @t26 @t13) (tptp.distance @t26 @t40))))) % 0.15/0.36 (assume @p23 @t45) % 0.15/0.36 (step @p24 :rule cnf_or_pos :args (@t47)) % 0.15/0.36 (step @p25 :rule reordering :premises (@p24) :args ((or @t31 @t32 @t33 @t46 @t48))) % 0.15/0.36 (step @p26 :rule chain_m_resolution :premises (@p25 @p14 @p15 @p16 @p23) :args (@t48 (@list true true true false) (@list @t31 @t32 @t33 @t45))) % 0.15/0.36 (assume-push @p33 @t10) % 0.15/0.36 (step @p28 :rule instantiate :premises (@p4) :args ((@list tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 0.15/0.36 (step-pop @p34 :rule scope :premises (@p28)) % 0.15/0.36 (step @p29 :rule process_scope :premises (@p34) :args (@t47)) % 0.15/0.36 (step @p31 :rule implies_elim :premises (@p29)) % 0.15/0.36 (step @p32 false :rule chain_m_resolution :premises (@p31 @p26 @p4) :args (false (@list true false) (@list @t47 @t10))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------