%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO006-3 : 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 : n020.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 08:16:04 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO006-3 : TPTP v9.2.1. Released v1.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 23:05:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----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... % 0.39/0.58 % SZS status Unsatisfiable % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.d $$unsorted) % 0.39/0.58 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.a $$unsorted) % 0.39/0.58 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.reflection (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 0.39/0.58 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.c $$unsorted) % 0.39/0.58 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 0.39/0.58 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 0.39/0.58 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.58 (define @t2 () (@var "Y" $$unsorted)) % 0.39/0.58 (define @t3 () (@list @t1 @t2)) % 0.39/0.58 (define @t4 () (@var "W" $$unsorted)) % 0.39/0.58 (define @t5 () (@var "V2" $$unsorted)) % 0.39/0.58 (define @t6 () (@var "V" $$unsorted)) % 0.39/0.58 (define @t7 () (@var "Z" $$unsorted)) % 0.39/0.58 (define @t8 () (= @t1 @t2)) % 0.39/0.58 (define @t9 () (tptp.extension @t1 @t2 @t4 @t6)) % 0.39/0.58 (define @t10 () (@var "V1" $$unsorted)) % 0.39/0.58 (define @t11 () (@var "Z1" $$unsorted)) % 0.39/0.58 (define @t12 () (@var "Y1" $$unsorted)) % 0.39/0.58 (define @t13 () (@var "X1" $$unsorted)) % 0.39/0.58 (define @t14 () (tptp.between @t1 @t2 @t7)) % 0.39/0.58 (define @t15 () (@var "U" $$unsorted)) % 0.39/0.58 (define @t16 () (tptp.inner_pasch @t15 @t6 @t4 @t1 @t2)) % 0.39/0.58 (define @t17 () (not (tptp.between @t2 @t1 @t4))) % 0.39/0.58 (define @t18 () (not (tptp.between @t15 @t6 @t4))) % 0.39/0.58 (define @t19 () (@list @t15 @t6 @t4 @t2 @t1)) % 0.39/0.58 (define @t20 () (tptp.euclid1 @t15 @t6 @t4 @t1 @t2)) % 0.39/0.58 (define @t21 () (= @t15 @t4)) % 0.39/0.58 (define @t22 () (tptp.between @t6 @t4 @t1)) % 0.39/0.58 (define @t23 () (not @t22)) % 0.39/0.58 (define @t24 () (not (tptp.between @t15 @t4 @t2))) % 0.39/0.58 (define @t25 () (@list @t15 @t4 @t2 @t6 @t1)) % 0.39/0.58 (define @t26 () (tptp.euclid2 @t15 @t6 @t4 @t1 @t2)) % 0.39/0.58 (define @t27 () (tptp.continuous @t15 @t6 @t10 @t4 @t1 @t13)) % 0.39/0.58 (define @t28 () (not (tptp.between @t15 @t6 @t1))) % 0.39/0.58 (define @t29 () (not (tptp.equidistant @t15 @t1 @t15 @t13))) % 0.39/0.58 (define @t30 () (not (tptp.equidistant @t15 @t6 @t15 @t10))) % 0.39/0.58 (define @t31 () (@list @t15 @t6 @t10 @t1 @t13 @t4)) % 0.39/0.58 (define @t32 () (tptp.extension @t15 @t6 @t15 @t6)) % 0.39/0.58 (define @t33 () (tptp.reflection @t15 @t6)) % 0.39/0.58 (define @t34 () (@list @t15 @t6)) % 0.39/0.58 (define @t35 () (not (tptp.equidistant @t15 @t6 @t4 @t1))) % 0.39/0.58 (define @t36 () (@list @t15 @t6 @t4 @t1)) % 0.39/0.58 (define @t37 () (not (tptp.equidistant @t4 @t1 @t2 @t7))) % 0.39/0.58 (define @t38 () (tptp.extension @t15 @t6 @t4 @t1)) % 0.39/0.58 (define @t39 () (@list @t6 @t15)) % 0.39/0.58 (define @t40 () (= @t6 @t33)) % 0.39/0.58 (define @t41 () (= @t15 @t6)) % 0.39/0.58 (define @t42 () (@var "W1" $$unsorted)) % 0.39/0.58 (define @t43 () (@var "U1" $$unsorted)) % 0.39/0.58 (define @t44 () (@list @t15 @t6 @t4)) % 0.39/0.58 (define @t45 () (tptp.reflection @t33 @t6)) % 0.39/0.58 (define @t46 () (not (tptp.between @t6 @t15 @t4))) % 0.39/0.58 (define @t47 () (or @t18 @t46 @t41)) % 0.39/0.58 (define @t48 () (forall @t44 @t47)) % 0.39/0.58 (define @t49 () (= tptp.a tptp.c)) % 0.39/0.58 (define @t50 () (= tptp.c tptp.d)) % 0.39/0.58 (define @t51 () (tptp.between tptp.a tptp.c tptp.d)) % 0.39/0.58 (define @t52 () (tptp.between tptp.a tptp.d tptp.c)) % 0.39/0.58 (define @t53 () (tptp.between tptp.c tptp.a tptp.d)) % 0.39/0.58 (define @t54 () (not @t52)) % 0.39/0.58 (define @t55 () (not @t51)) % 0.39/0.58 (define @t56 () (or @t55 @t54 @t50)) % 0.39/0.58 (define @t57 () (@list true false false)) % 0.39/0.58 (define @t58 () (= tptp.c tptp.a)) % 0.39/0.58 (define @t59 () (not @t53)) % 0.39/0.58 (define @t60 () (or @t59 @t55 @t58)) % 0.39/0.58 (define @t61 () (not @t60)) % 0.39/0.58 (define @t62 () (or @t59 @t55 @t49)) % 0.39/0.58 (define @t63 () (forall @t44 (or @t18 @t46 (= @t6 @t15)))) % 0.39/0.58 (assume @p1 (forall @t3 (tptp.equidistant @t1 @t2 @t2 @t1))) % 0.39/0.58 (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)))) % 0.39/0.58 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.equidistant @t1 @t2 @t7 @t7)) @t8))) % 0.39/0.58 (assume @p4 (forall (@list @t1 @t2 @t4 @t6) (tptp.between @t1 @t2 @t9))) % 0.39/0.58 (assume @p5 (forall (@list @t2 @t1 @t4 @t6) (tptp.equidistant @t2 @t9 @t4 @t6))) % 0.39/0.58 (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)))) % 0.39/0.58 (assume @p7 (forall @t3 (or (not (tptp.between @t1 @t2 @t1)) @t8))) % 0.39/0.58 (assume @p8 (forall @t19 (or @t18 @t17 (tptp.between @t6 @t16 @t2)))) % 0.39/0.58 (assume @p9 (forall @t19 (or @t18 @t17 (tptp.between @t1 @t16 @t15)))) % 0.39/0.58 (assume @p10 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 0.39/0.58 (assume @p11 (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) % 0.39/0.58 (assume @p12 (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 0.39/0.58 (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)))) % 0.39/0.58 (assume @p14 (forall @t25 (or @t24 @t23 @t21 (tptp.between @t15 @t6 @t20)))) % 0.39/0.58 (assume @p15 (forall @t25 (or @t24 @t23 @t21 (tptp.between @t15 @t1 @t26)))) % 0.39/0.58 (assume @p16 (forall @t25 (or @t24 @t23 @t21 (tptp.between @t20 @t2 @t26)))) % 0.39/0.58 (assume @p17 (forall @t31 (or @t30 @t29 @t28 @t23 (tptp.between @t10 @t27 @t13)))) % 0.39/0.58 (assume @p18 (forall @t31 (or @t30 @t29 @t28 @t23 (tptp.equidistant @t15 @t4 @t15 @t27)))) % 0.39/0.58 (assume @p19 (forall @t34 (= @t33 @t32))) % 0.39/0.58 (assume @p20 (forall @t34 (tptp.equidistant @t15 @t6 @t15 @t6))) % 0.39/0.58 (assume @p21 (forall @t36 (or @t35 (tptp.equidistant @t4 @t1 @t15 @t6)))) % 0.39/0.58 (assume @p22 (forall @t36 (or @t35 (tptp.equidistant @t6 @t15 @t4 @t1)))) % 0.39/0.58 (assume @p23 (forall @t36 (or @t35 (tptp.equidistant @t15 @t6 @t1 @t4)))) % 0.39/0.58 (assume @p24 (forall @t36 (or @t35 (tptp.equidistant @t6 @t15 @t1 @t4)))) % 0.39/0.58 (assume @p25 (forall @t36 (or @t35 (tptp.equidistant @t4 @t1 @t6 @t15)))) % 0.39/0.58 (assume @p26 (forall @t36 (or @t35 (tptp.equidistant @t1 @t4 @t15 @t6)))) % 0.39/0.58 (assume @p27 (forall @t36 (or @t35 (tptp.equidistant @t1 @t4 @t6 @t15)))) % 0.39/0.58 (assume @p28 (forall (@list @t15 @t6 @t4 @t1 @t2 @t7) (or @t35 @t37 (tptp.equidistant @t15 @t6 @t2 @t7)))) % 0.39/0.58 (assume @p29 (forall (@list @t6 @t15 @t4) (= @t6 (tptp.extension @t15 @t6 @t4 @t4)))) % 0.39/0.58 (assume @p30 (forall (@list @t2 @t15 @t6 @t4 @t1) (or (not (= @t2 @t38)) (tptp.between @t15 @t6 @t2)))) % 0.39/0.58 (assume @p31 (forall @t34 (tptp.between @t15 @t6 @t33))) % 0.39/0.58 (assume @p32 (forall @t39 (tptp.equidistant @t6 @t33 @t15 @t6))) % 0.39/0.58 (assume @p33 (forall @t34 (or (not @t41) @t40))) % 0.39/0.58 (assume @p34 (forall (@list @t15) (= @t15 (tptp.reflection @t15 @t15)))) % 0.39/0.58 (assume @p35 (forall @t39 (or (not @t40) @t41))) % 0.39/0.58 (assume @p36 (forall @t34 (tptp.equidistant @t15 @t15 @t6 @t6))) % 0.39/0.58 (assume @p37 (forall (@list @t15 @t6 @t43 @t10 @t4 @t42) (or (not (tptp.equidistant @t15 @t6 @t43 @t10)) (not (tptp.equidistant @t6 @t4 @t10 @t42)) @t18 (not (tptp.between @t43 @t10 @t42)) (tptp.equidistant @t15 @t4 @t43 @t42)))) % 0.39/0.58 (assume @p38 (forall @t36 (or @t18 @t28 (not (tptp.equidistant @t6 @t4 @t6 @t1)) @t41 (= @t4 @t1)))) % 0.39/0.58 (assume @p39 (forall @t44 (or @t18 @t41 (= @t4 (tptp.extension @t15 @t6 @t6 @t4))))) % 0.39/0.58 (assume @p40 (forall (@list @t4 @t1 @t2 @t7 @t15 @t6) (or @t37 (= @t38 (tptp.extension @t15 @t6 @t2 @t7)) @t41))) % 0.39/0.58 (assume @p41 (forall @t34 (or (= @t32 (tptp.extension @t15 @t6 @t6 @t15)) @t41))) % 0.39/0.58 (assume @p42 (forall @t39 (tptp.equidistant @t6 @t15 @t6 @t45))) % 0.39/0.58 (assume @p43 (forall @t34 (= @t15 @t45))) % 0.39/0.58 (assume @p44 (forall @t34 (tptp.between @t15 @t6 @t6))) % 0.39/0.58 (assume @p45 (forall (@list @t15 @t4 @t1 @t6) (or (not (tptp.between @t15 @t4 @t1)) (not (= @t15 @t1)) @t22))) % 0.39/0.58 (assume @p46 (forall @t44 (or @t18 (tptp.between @t4 @t6 @t15)))) % 0.39/0.58 (assume @p47 (forall @t34 (tptp.between @t15 @t15 @t6))) % 0.39/0.58 (assume @p48 @t48) % 0.39/0.58 (assume @p49 (forall @t44 (or @t18 (not (tptp.between @t15 @t4 @t6)) (= @t6 @t4)))) % 0.39/0.58 (assume @p50 (not @t49)) % 0.39/0.58 (assume @p51 (not (= tptp.a tptp.d))) % 0.39/0.58 (assume @p52 (not @t50)) % 0.39/0.58 (assume @p53 @t51) % 0.39/0.58 (assume @p54 (or @t53 @t52)) % 0.39/0.58 (step @p55 :rule eq-symm :args (@t15 @t6)) % 0.39/0.58 (step @p56 :rule refl :args (@t46)) % 0.39/0.58 (step @p57 :rule refl :args (@t18)) % 0.39/0.58 (step @p58 :rule nary_cong :premises (@p57 @p56 @p55) :args (@t47)) % 0.39/0.58 (step @p59 :rule cong :premises (@p58) :args (@t48)) % 0.39/0.58 (step @p60 :rule eq_resolve :premises (@p48 @p59)) % 0.39/0.58 (step @p61 :rule instantiate :premises (@p49) :args ((@list tptp.a tptp.c tptp.d))) % 0.39/0.58 (step @p62 :rule cnf_or_pos :args (@t56)) % 0.39/0.58 (step @p63 :rule reordering :premises (@p62) :args ((or @t50 @t55 @t54 (not @t56)))) % 0.39/0.58 (step @p64 :rule chain_m_resolution :premises (@p63 @p52 @p53 @p61) :args (@t54 @t57 (@list @t50 @t51 @t56))) % 0.39/0.58 (step @p65 :rule chain_m_resolution :premises (@p54 @p64) :args (@t53 (@list true) (@list @t52))) % 0.39/0.58 (step @p66 :rule symm :premises (@p50)) % 0.39/0.58 (step @p67 :rule cnf_or_pos :args (@t60)) % 0.39/0.58 (step @p68 :rule reordering :premises (@p67) :args ((or @t58 @t55 @t59 @t61))) % 0.39/0.58 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p53 @p65) :args (@t61 @t57 (@list @t58 @t51 @t53))) % 0.39/0.58 (step @p70 :rule eq-symm :args (tptp.a tptp.c)) % 0.39/0.58 (step @p71 :rule refl :args (@t55)) % 0.39/0.58 (step @p72 :rule refl :args (@t59)) % 0.39/0.58 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70) :args (@t62)) % 0.39/0.58 (step @p74 :rule refl :args (@t63)) % 0.39/0.58 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t63 @t62))) % 0.39/0.58 (assume-push @p83 @t63) % 0.39/0.58 (step @p77 :rule instantiate :premises (@p60) :args ((@list tptp.c tptp.a tptp.d))) % 0.39/0.58 (step-pop @p84 :rule scope :premises (@p77)) % 0.39/0.58 (step @p78 :rule process_scope :premises (@p84) :args (@t62)) % 0.39/0.58 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 0.39/0.58 (step @p81 :rule implies_elim :premises (@p80)) % 0.39/0.58 (step @p82 false :rule chain_m_resolution :premises (@p81 @p69 @p60) :args (false (@list true false) (@list @t60 @t63))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------