%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO025-3 : 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 : n021.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 2.53s 2.77s % Output : Proof 2.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO025-3 : 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 : n021.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 23:10:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.53/2.77 % SZS status Unsatisfiable % 2.53/2.77 % SZS output start Proof % 2.53/2.77 ( % 2.53/2.77 (declare-sort $$unsorted 0) % 2.53/2.77 (declare-const tptp.w $$unsorted) % 2.53/2.77 (declare-const tptp.v $$unsorted) % 2.53/2.77 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.53/2.77 (declare-const tptp.u $$unsorted) % 2.53/2.77 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.53/2.77 (declare-const tptp.reflection (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.77 (declare-const tptp.w1 $$unsorted) % 2.53/2.77 (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.53/2.77 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 2.53/2.77 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 2.53/2.77 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 2.53/2.77 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.53/2.77 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.53/2.77 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.53/2.77 (declare-const tptp.v1 $$unsorted) % 2.53/2.77 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.53/2.77 (declare-const tptp.u1 $$unsorted) % 2.53/2.77 (define @t1 () (@var "X" $$unsorted)) % 2.53/2.77 (define @t2 () (@var "Y" $$unsorted)) % 2.53/2.77 (define @t3 () (@list @t1 @t2)) % 2.53/2.77 (define @t4 () (@var "W" $$unsorted)) % 2.53/2.77 (define @t5 () (@var "V2" $$unsorted)) % 2.53/2.77 (define @t6 () (@var "V" $$unsorted)) % 2.53/2.77 (define @t7 () (@var "Z" $$unsorted)) % 2.53/2.77 (define @t8 () (= @t1 @t2)) % 2.53/2.77 (define @t9 () (tptp.extension @t1 @t2 @t4 @t6)) % 2.53/2.77 (define @t10 () (@var "V1" $$unsorted)) % 2.53/2.77 (define @t11 () (@var "Z1" $$unsorted)) % 2.53/2.77 (define @t12 () (@var "Y1" $$unsorted)) % 2.53/2.77 (define @t13 () (@var "X1" $$unsorted)) % 2.53/2.77 (define @t14 () (tptp.between @t1 @t2 @t7)) % 2.53/2.77 (define @t15 () (@var "U" $$unsorted)) % 2.53/2.77 (define @t16 () (tptp.inner_pasch @t15 @t6 @t4 @t1 @t2)) % 2.53/2.77 (define @t17 () (not (tptp.between @t2 @t1 @t4))) % 2.53/2.77 (define @t18 () (not (tptp.between @t15 @t6 @t4))) % 2.53/2.77 (define @t19 () (@list @t15 @t6 @t4 @t2 @t1)) % 2.53/2.77 (define @t20 () (tptp.euclid1 @t15 @t6 @t4 @t1 @t2)) % 2.53/2.77 (define @t21 () (= @t15 @t4)) % 2.53/2.77 (define @t22 () (not (tptp.between @t6 @t4 @t1))) % 2.53/2.77 (define @t23 () (not (tptp.between @t15 @t4 @t2))) % 2.53/2.77 (define @t24 () (@list @t15 @t4 @t2 @t6 @t1)) % 2.53/2.77 (define @t25 () (tptp.euclid2 @t15 @t6 @t4 @t1 @t2)) % 2.53/2.77 (define @t26 () (tptp.continuous @t15 @t6 @t10 @t4 @t1 @t13)) % 2.53/2.77 (define @t27 () (not (tptp.between @t15 @t6 @t1))) % 2.53/2.77 (define @t28 () (not (tptp.equidistant @t15 @t1 @t15 @t13))) % 2.53/2.77 (define @t29 () (not (tptp.equidistant @t15 @t6 @t15 @t10))) % 2.53/2.77 (define @t30 () (@list @t15 @t6 @t10 @t1 @t13 @t4)) % 2.53/2.77 (define @t31 () (tptp.reflection @t15 @t6)) % 2.53/2.77 (define @t32 () (@list @t15 @t6)) % 2.53/2.77 (define @t33 () (not (tptp.equidistant @t15 @t6 @t4 @t1))) % 2.53/2.77 (define @t34 () (@list @t15 @t6 @t4 @t1)) % 2.53/2.77 (define @t35 () (@list @t6 @t15)) % 2.53/2.77 (define @t36 () (= @t6 @t31)) % 2.53/2.77 (define @t37 () (= @t15 @t6)) % 2.53/2.77 (define @t38 () (tptp.equidistant tptp.u tptp.v tptp.u1 tptp.v1)) % 2.53/2.77 (define @t39 () (tptp.equidistant tptp.v tptp.w tptp.v1 tptp.w1)) % 2.53/2.77 (define @t40 () (tptp.between tptp.u tptp.v tptp.w)) % 2.53/2.77 (define @t41 () (tptp.between tptp.u1 tptp.v1 tptp.w1)) % 2.53/2.77 (define @t42 () (tptp.equidistant tptp.u tptp.w tptp.u1 tptp.w1)) % 2.53/2.77 (define @t43 () (not (tptp.equidistant tptp.u tptp.w tptp.w1 tptp.u1))) % 2.53/2.77 (define @t44 () (or @t43 @t42)) % 2.53/2.77 (define @t45 () (@list true false)) % 2.53/2.77 (define @t46 () (@list tptp.u tptp.v tptp.u1 tptp.v1)) % 2.53/2.77 (define @t47 () (tptp.equidistant tptp.v tptp.u tptp.v1 tptp.u1)) % 2.53/2.77 (define @t48 () (not @t38)) % 2.53/2.77 (define @t49 () (or @t48 @t47)) % 2.53/2.77 (define @t50 () (@list false false)) % 2.53/2.77 (define @t51 () (tptp.equidistant tptp.w tptp.u tptp.w1 tptp.u1)) % 2.53/2.77 (define @t52 () (not @t51)) % 2.53/2.77 (define @t53 () (or @t52 @t42)) % 2.53/2.77 (define @t54 () (= tptp.u tptp.v)) % 2.53/2.77 (define @t55 () (not @t41)) % 2.53/2.77 (define @t56 () (not @t40)) % 2.53/2.77 (define @t57 () (not @t47)) % 2.53/2.77 (define @t58 () (tptp.equidistant tptp.u tptp.u tptp.u1 tptp.u1)) % 2.53/2.77 (define @t59 () (not @t58)) % 2.53/2.77 (define @t60 () (not @t39)) % 2.53/2.77 (define @t61 () (or @t48 @t60 @t59 @t57 @t56 @t55 @t54 @t51)) % 2.53/2.77 (define @t62 () (tptp.equidistant tptp.v1 tptp.u1 tptp.v tptp.u)) % 2.53/2.77 (define @t63 () (or @t48 @t62)) % 2.53/2.77 (define @t64 () (@list tptp.v tptp.w tptp.v1 tptp.w1)) % 2.53/2.77 (define @t65 () (tptp.equidistant tptp.v1 tptp.w1 tptp.v tptp.w)) % 2.53/2.77 (define @t66 () (or @t60 @t65)) % 2.53/2.77 (define @t67 () (tptp.equidistant tptp.u1 tptp.v1 tptp.u tptp.v)) % 2.53/2.77 (define @t68 () (or @t48 @t67)) % 2.53/2.77 (define @t69 () (tptp.equidistant tptp.w1 tptp.u1 tptp.w tptp.u)) % 2.53/2.77 (define @t70 () (not @t69)) % 2.53/2.77 (define @t71 () (or @t70 @t42)) % 2.53/2.77 (define @t72 () (= tptp.u1 tptp.v1)) % 2.53/2.77 (define @t73 () (not @t62)) % 2.53/2.77 (define @t74 () (tptp.equidistant tptp.u1 tptp.u1 tptp.u tptp.u)) % 2.53/2.77 (define @t75 () (not @t74)) % 2.53/2.77 (define @t76 () (not @t65)) % 2.53/2.77 (define @t77 () (not @t67)) % 2.53/2.77 (define @t78 () (or @t77 @t76 @t75 @t73 @t55 @t56 @t72 @t69)) % 2.53/2.77 (define @t79 () (tptp.equidistant tptp.v tptp.w tptp.w1 tptp.v1)) % 2.53/2.77 (define @t80 () (or @t60 @t79)) % 2.53/2.77 (assume @p1 (forall @t3 (tptp.equidistant @t1 @t2 @t2 @t1))) % 2.53/2.77 (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)))) % 2.53/2.77 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.equidistant @t1 @t2 @t7 @t7)) @t8))) % 2.53/2.77 (assume @p4 (forall (@list @t1 @t2 @t4 @t6) (tptp.between @t1 @t2 @t9))) % 2.53/2.77 (assume @p5 (forall (@list @t2 @t1 @t4 @t6) (tptp.equidistant @t2 @t9 @t4 @t6))) % 2.53/2.77 (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)))) % 2.53/2.77 (assume @p7 (forall @t3 (or (not (tptp.between @t1 @t2 @t1)) @t8))) % 2.53/2.77 (assume @p8 (forall @t19 (or @t18 @t17 (tptp.between @t6 @t16 @t2)))) % 2.53/2.77 (assume @p9 (forall @t19 (or @t18 @t17 (tptp.between @t1 @t16 @t15)))) % 2.53/2.77 (assume @p10 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 2.53/2.77 (assume @p11 (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) % 2.53/2.77 (assume @p12 (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 2.53/2.77 (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)))) % 2.53/2.77 (assume @p14 (forall @t24 (or @t23 @t22 @t21 (tptp.between @t15 @t6 @t20)))) % 2.53/2.77 (assume @p15 (forall @t24 (or @t23 @t22 @t21 (tptp.between @t15 @t1 @t25)))) % 2.53/2.77 (assume @p16 (forall @t24 (or @t23 @t22 @t21 (tptp.between @t20 @t2 @t25)))) % 2.53/2.77 (assume @p17 (forall @t30 (or @t29 @t28 @t27 @t22 (tptp.between @t10 @t26 @t13)))) % 2.53/2.77 (assume @p18 (forall @t30 (or @t29 @t28 @t27 @t22 (tptp.equidistant @t15 @t4 @t15 @t26)))) % 2.53/2.77 (assume @p19 (forall @t32 (= @t31 (tptp.extension @t15 @t6 @t15 @t6)))) % 2.53/2.77 (assume @p20 (forall @t32 (tptp.equidistant @t15 @t6 @t15 @t6))) % 2.53/2.77 (assume @p21 (forall @t34 (or @t33 (tptp.equidistant @t4 @t1 @t15 @t6)))) % 2.53/2.77 (assume @p22 (forall @t34 (or @t33 (tptp.equidistant @t6 @t15 @t4 @t1)))) % 2.53/2.77 (assume @p23 (forall @t34 (or @t33 (tptp.equidistant @t15 @t6 @t1 @t4)))) % 2.53/2.77 (assume @p24 (forall @t34 (or @t33 (tptp.equidistant @t6 @t15 @t1 @t4)))) % 2.53/2.77 (assume @p25 (forall @t34 (or @t33 (tptp.equidistant @t4 @t1 @t6 @t15)))) % 2.53/2.77 (assume @p26 (forall @t34 (or @t33 (tptp.equidistant @t1 @t4 @t15 @t6)))) % 2.53/2.77 (assume @p27 (forall @t34 (or @t33 (tptp.equidistant @t1 @t4 @t6 @t15)))) % 2.53/2.77 (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)))) % 2.53/2.77 (assume @p29 (forall (@list @t6 @t15 @t4) (= @t6 (tptp.extension @t15 @t6 @t4 @t4)))) % 2.53/2.77 (assume @p30 (forall (@list @t2 @t15 @t6 @t4 @t1) (or (not (= @t2 (tptp.extension @t15 @t6 @t4 @t1))) (tptp.between @t15 @t6 @t2)))) % 2.53/2.77 (assume @p31 (forall @t32 (tptp.between @t15 @t6 @t31))) % 2.53/2.77 (assume @p32 (forall @t35 (tptp.equidistant @t6 @t31 @t15 @t6))) % 2.53/2.77 (assume @p33 (forall @t32 (or (not @t37) @t36))) % 2.53/2.77 (assume @p34 (forall (@list @t15) (= @t15 (tptp.reflection @t15 @t15)))) % 2.53/2.77 (assume @p35 (forall @t35 (or (not @t36) @t37))) % 2.53/2.77 (assume @p36 (forall @t32 (tptp.equidistant @t15 @t15 @t6 @t6))) % 2.53/2.77 (assume @p37 @t38) % 2.53/2.77 (assume @p38 @t39) % 2.53/2.77 (assume @p39 @t40) % 2.53/2.77 (assume @p40 @t41) % 2.53/2.77 (assume @p41 (not @t42)) % 2.53/2.77 (step @p42 :rule evaluate :args ((= true false))) % 2.53/2.77 (step @p43 :rule instantiate :premises (@p23) :args ((@list tptp.u tptp.w tptp.w1 tptp.u1))) % 2.53/2.77 (step @p44 :rule cnf_or_pos :args (@t44)) % 2.53/2.77 (step @p45 :rule reordering :premises (@p44) :args ((or @t42 @t43 (not @t44)))) % 2.53/2.77 (step @p46 :rule chain_m_resolution :premises (@p45 @p41 @p43) :args (@t43 @t45 (@list @t42 @t44))) % 2.53/2.77 (step @p47 :rule false_intro :premises (@p46)) % 2.53/2.77 (step @p48 :rule refl :args (tptp.u1)) % 2.53/2.77 (step @p49 :rule refl :args (tptp.w1)) % 2.53/2.77 (step @p50 :rule refl :args (tptp.w)) % 2.53/2.77 (step @p51 :rule instantiate :premises (@p6) :args ((@list tptp.u tptp.v tptp.u1 tptp.v1 tptp.w tptp.w1 tptp.u tptp.u1))) % 2.53/2.77 (step @p52 :rule instantiate :premises (@p36) :args ((@list tptp.u tptp.u1))) % 2.53/2.77 (step @p53 :rule instantiate :premises (@p24) :args (@t46)) % 2.53/2.77 (step @p54 :rule cnf_or_pos :args (@t49)) % 2.53/2.77 (step @p55 :rule reordering :premises (@p54) :args ((or @t48 @t47 (not @t49)))) % 2.53/2.77 (step @p56 :rule chain_m_resolution :premises (@p55 @p37 @p53) :args (@t47 @t50 (@list @t38 @t49))) % 2.53/2.77 (step @p57 :rule instantiate :premises (@p24) :args ((@list tptp.w tptp.u tptp.w1 tptp.u1))) % 2.53/2.77 (step @p58 :rule cnf_or_pos :args (@t53)) % 2.53/2.77 (step @p59 :rule reordering :premises (@p58) :args ((or @t42 @t52 (not @t53)))) % 2.53/2.77 (step @p60 :rule chain_m_resolution :premises (@p59 @p41 @p57) :args (@t52 @t45 (@list @t42 @t53))) % 2.53/2.77 (step @p61 :rule cnf_or_pos :args (@t61)) % 2.53/2.77 (step @p62 :rule reordering :premises (@p61) :args ((or @t48 @t60 @t56 @t55 @t54 @t51 @t57 @t59 (not @t61)))) % 2.53/2.77 (step @p63 :rule chain_m_resolution :premises (@p62 @p37 @p38 @p39 @p40 @p60 @p56 @p52 @p51) :args (@t54 (@list false false false false true false false false) (@list @t38 @t39 @t40 @t41 @t51 @t47 @t58 @t61))) % 2.53/2.77 (step @p64 :rule symm :premises (@p63)) % 2.53/2.77 (step @p65 :rule cong :premises (@p64 @p50 @p49 @p48) :args ((tptp.equidistant tptp.v tptp.w tptp.w1 tptp.u1))) % 2.53/2.77 (step @p66 :rule instantiate :premises (@p6) :args ((@list tptp.u1 tptp.v1 tptp.u tptp.v tptp.w1 tptp.w tptp.u1 tptp.u))) % 2.53/2.77 (step @p67 :rule instantiate :premises (@p36) :args ((@list tptp.u1 tptp.u))) % 2.53/2.77 (step @p68 :rule instantiate :premises (@p27) :args (@t46)) % 2.53/2.77 (step @p69 :rule cnf_or_pos :args (@t63)) % 2.53/2.77 (step @p70 :rule reordering :premises (@p69) :args ((or @t48 @t62 (not @t63)))) % 2.53/2.77 (step @p71 :rule chain_m_resolution :premises (@p70 @p37 @p68) :args (@t62 @t50 (@list @t38 @t63))) % 2.53/2.77 (step @p72 :rule instantiate :premises (@p21) :args (@t64)) % 2.53/2.77 (step @p73 :rule cnf_or_pos :args (@t66)) % 2.53/2.77 (step @p74 :rule reordering :premises (@p73) :args ((or @t60 @t65 (not @t66)))) % 2.53/2.77 (step @p75 :rule chain_m_resolution :premises (@p74 @p38 @p72) :args (@t65 @t50 (@list @t39 @t66))) % 2.53/2.77 (step @p76 :rule instantiate :premises (@p21) :args (@t46)) % 2.53/2.77 (step @p77 :rule cnf_or_pos :args (@t68)) % 2.53/2.77 (step @p78 :rule reordering :premises (@p77) :args ((or @t48 @t67 (not @t68)))) % 2.53/2.77 (step @p79 :rule chain_m_resolution :premises (@p78 @p37 @p76) :args (@t67 @t50 (@list @t38 @t68))) % 2.53/2.77 (step @p80 :rule instantiate :premises (@p27) :args ((@list tptp.w1 tptp.u1 tptp.w tptp.u))) % 2.53/2.77 (step @p81 :rule cnf_or_pos :args (@t71)) % 2.53/2.77 (step @p82 :rule reordering :premises (@p81) :args ((or @t42 @t70 (not @t71)))) % 2.53/2.77 (step @p83 :rule chain_m_resolution :premises (@p82 @p41 @p80) :args (@t70 @t45 (@list @t42 @t71))) % 2.53/2.77 (step @p84 :rule cnf_or_pos :args (@t78)) % 2.53/2.77 (step @p85 :rule reordering :premises (@p84) :args ((or @t56 @t55 @t69 @t77 @t76 @t73 @t72 @t75 (not @t78)))) % 2.53/2.77 (step @p86 :rule chain_m_resolution :premises (@p85 @p39 @p40 @p83 @p79 @p75 @p71 @p67 @p66) :args (@t72 (@list false false true false false false false false) (@list @t40 @t41 @t69 @t67 @t65 @t62 @t74 @t78))) % 2.53/2.77 (step @p87 :rule symm :premises (@p86)) % 2.53/2.77 (step @p88 :rule cong :premises (@p63 @p50 @p49 @p87) :args ((tptp.equidistant tptp.u tptp.w tptp.w1 tptp.v1))) % 2.53/2.77 (step @p89 :rule refl :args (tptp.v1)) % 2.53/2.77 (step @p90 :rule cong :premises (@p64 @p50 @p49 @p89) :args (@t79)) % 2.53/2.77 (step @p91 :rule instantiate :premises (@p23) :args (@t64)) % 2.53/2.77 (step @p92 :rule cnf_or_pos :args (@t80)) % 2.53/2.77 (step @p93 :rule reordering :premises (@p92) :args ((or @t60 @t79 (not @t80)))) % 2.53/2.77 (step @p94 :rule chain_m_resolution :premises (@p93 @p38 @p91) :args (@t79 @t50 (@list @t39 @t80))) % 2.53/2.77 (step @p95 :rule true_intro :premises (@p94)) % 2.53/2.77 (step @p96 :rule symm :premises (@p95)) % 2.53/2.77 (step @p97 :rule trans :premises (@p96 @p90 @p88 @p65 @p47)) % 2.53/2.77 (step @p98 false :rule eq_resolve :premises (@p97 @p42)) % 2.53/2.77 ) % 2.53/2.78 % SZS output end Proof % 2.53/2.78 % cvc5 exiting %------------------------------------------------------------------------------