%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO033-3 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:16:09 AM UTC 2026 % Result : Unsatisfiable 0.51s 0.76s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO033-3 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 23:10:25 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/0.76 % SZS status Unsatisfiable % 0.51/0.76 % SZS output start Proof % 0.51/0.76 ( % 0.51/0.76 (declare-sort $$unsorted 0) % 0.51/0.76 (declare-const tptp.x $$unsorted) % 0.51/0.76 (declare-const tptp.x1 $$unsorted) % 0.51/0.76 (declare-const tptp.w1 $$unsorted) % 0.51/0.76 (declare-const tptp.u $$unsorted) % 0.51/0.76 (declare-const tptp.v $$unsorted) % 0.51/0.76 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.76 (declare-const tptp.u1 $$unsorted) % 0.51/0.76 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.76 (declare-const tptp.reflection (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.76 (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.76 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 0.51/0.76 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.76 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 0.51/0.76 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 0.51/0.76 (declare-const tptp.w $$unsorted) % 0.51/0.76 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.76 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.76 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.51/0.76 (declare-const tptp.v1 $$unsorted) % 0.51/0.76 (define @t1 () (@var "X" $$unsorted)) % 0.51/0.76 (define @t2 () (@var "Y" $$unsorted)) % 0.51/0.76 (define @t3 () (@list @t1 @t2)) % 0.51/0.76 (define @t4 () (@var "W" $$unsorted)) % 0.51/0.76 (define @t5 () (@var "V2" $$unsorted)) % 0.51/0.76 (define @t6 () (@var "V" $$unsorted)) % 0.51/0.76 (define @t7 () (@var "Z" $$unsorted)) % 0.51/0.76 (define @t8 () (= @t1 @t2)) % 0.51/0.76 (define @t9 () (tptp.extension @t1 @t2 @t4 @t6)) % 0.51/0.76 (define @t10 () (@var "V1" $$unsorted)) % 0.51/0.76 (define @t11 () (@var "Z1" $$unsorted)) % 0.51/0.76 (define @t12 () (@var "Y1" $$unsorted)) % 0.51/0.76 (define @t13 () (@var "X1" $$unsorted)) % 0.51/0.76 (define @t14 () (tptp.between @t1 @t2 @t7)) % 0.51/0.76 (define @t15 () (@var "U" $$unsorted)) % 0.51/0.76 (define @t16 () (tptp.inner_pasch @t15 @t6 @t4 @t1 @t2)) % 0.51/0.76 (define @t17 () (not (tptp.between @t2 @t1 @t4))) % 0.51/0.76 (define @t18 () (tptp.between @t15 @t6 @t4)) % 0.51/0.76 (define @t19 () (not @t18)) % 0.51/0.76 (define @t20 () (@list @t15 @t6 @t4 @t2 @t1)) % 0.51/0.76 (define @t21 () (tptp.euclid1 @t15 @t6 @t4 @t1 @t2)) % 0.51/0.76 (define @t22 () (= @t15 @t4)) % 0.51/0.76 (define @t23 () (tptp.between @t6 @t4 @t1)) % 0.51/0.76 (define @t24 () (not @t23)) % 0.51/0.76 (define @t25 () (not (tptp.between @t15 @t4 @t2))) % 0.51/0.76 (define @t26 () (@list @t15 @t4 @t2 @t6 @t1)) % 0.51/0.76 (define @t27 () (tptp.euclid2 @t15 @t6 @t4 @t1 @t2)) % 0.51/0.76 (define @t28 () (tptp.continuous @t15 @t6 @t10 @t4 @t1 @t13)) % 0.51/0.76 (define @t29 () (tptp.between @t15 @t6 @t1)) % 0.51/0.76 (define @t30 () (not @t29)) % 0.51/0.76 (define @t31 () (not (tptp.equidistant @t15 @t1 @t15 @t13))) % 0.51/0.76 (define @t32 () (not (tptp.equidistant @t15 @t6 @t15 @t10))) % 0.51/0.76 (define @t33 () (@list @t15 @t6 @t10 @t1 @t13 @t4)) % 0.51/0.76 (define @t34 () (tptp.extension @t15 @t6 @t15 @t6)) % 0.51/0.76 (define @t35 () (tptp.reflection @t15 @t6)) % 0.51/0.76 (define @t36 () (@list @t15 @t6)) % 0.51/0.76 (define @t37 () (not (tptp.equidistant @t15 @t6 @t4 @t1))) % 0.51/0.76 (define @t38 () (@list @t15 @t6 @t4 @t1)) % 0.51/0.76 (define @t39 () (not (tptp.equidistant @t4 @t1 @t2 @t7))) % 0.51/0.76 (define @t40 () (tptp.extension @t15 @t6 @t4 @t1)) % 0.51/0.76 (define @t41 () (@list @t6 @t15)) % 0.51/0.76 (define @t42 () (= @t6 @t35)) % 0.51/0.76 (define @t43 () (= @t15 @t6)) % 0.51/0.76 (define @t44 () (@var "W1" $$unsorted)) % 0.51/0.76 (define @t45 () (@var "U1" $$unsorted)) % 0.51/0.76 (define @t46 () (tptp.equidistant @t15 @t4 @t45 @t44)) % 0.51/0.76 (define @t47 () (not (tptp.between @t45 @t10 @t44))) % 0.51/0.76 (define @t48 () (tptp.equidistant @t6 @t4 @t10 @t44)) % 0.51/0.76 (define @t49 () (not (tptp.equidistant @t15 @t6 @t45 @t10))) % 0.51/0.76 (define @t50 () (@list @t15 @t6 @t4)) % 0.51/0.76 (define @t51 () (tptp.reflection @t35 @t6)) % 0.51/0.76 (define @t52 () (tptp.between @t15 @t4 @t1)) % 0.51/0.76 (define @t53 () (not @t52)) % 0.51/0.76 (define @t54 () (not (tptp.between @t6 @t15 @t4))) % 0.51/0.76 (define @t55 () (= @t6 @t4)) % 0.51/0.76 (define @t56 () (not (tptp.between @t15 @t4 @t6))) % 0.51/0.76 (define @t57 () (tptp.extension @t15 @t6 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) % 0.51/0.76 (define @t58 () (tptp.inner_pasch @t10 (tptp.inner_pasch @t15 @t1 @t45 @t10 @t4) @t15 @t6 @t4)) % 0.51/0.76 (define @t59 () (not @t46)) % 0.51/0.76 (define @t60 () (forall (@list @t15 @t6 @t45 @t10 @t4 @t44 @t1 @t13) (or @t49 @t59 (not (tptp.equidistant @t15 @t1 @t45 @t13)) (not (tptp.equidistant @t4 @t1 @t44 @t13)) @t19 @t47 (tptp.equidistant @t6 @t1 @t10 @t13)))) % 0.51/0.76 (define @t61 () (tptp.equidistant tptp.u tptp.v tptp.u1 tptp.v1)) % 0.51/0.76 (define @t62 () (tptp.equidistant tptp.v tptp.w tptp.v1 tptp.w1)) % 0.51/0.76 (define @t63 () (tptp.equidistant tptp.u tptp.x tptp.u1 tptp.x1)) % 0.51/0.76 (define @t64 () (tptp.equidistant tptp.w tptp.x tptp.w1 tptp.x1)) % 0.51/0.76 (define @t65 () (tptp.between tptp.u tptp.v tptp.w)) % 0.51/0.76 (define @t66 () (tptp.between tptp.u1 tptp.v1 tptp.w1)) % 0.51/0.76 (define @t67 () (tptp.equidistant tptp.v tptp.x tptp.v1 tptp.x1)) % 0.51/0.76 (define @t68 () (tptp.equidistant tptp.u tptp.w tptp.u1 tptp.w1)) % 0.51/0.76 (define @t69 () (not @t66)) % 0.51/0.76 (define @t70 () (not @t65)) % 0.51/0.76 (define @t71 () (not @t62)) % 0.51/0.76 (define @t72 () (not @t61)) % 0.51/0.76 (define @t73 () (or @t72 @t71 @t70 @t69 @t68)) % 0.51/0.76 (define @t74 () (not @t64)) % 0.51/0.76 (define @t75 () (not @t63)) % 0.51/0.76 (define @t76 () (not @t68)) % 0.51/0.76 (define @t77 () (or @t72 @t76 @t75 @t74 @t70 @t69 @t67)) % 0.51/0.76 (define @t78 () (not @t77)) % 0.51/0.76 (assume @p1 (forall @t3 (tptp.equidistant @t1 @t2 @t2 @t1))) % 0.51/0.76 (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)))) % 0.51/0.76 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.equidistant @t1 @t2 @t7 @t7)) @t8))) % 0.51/0.76 (assume @p4 (forall (@list @t1 @t2 @t4 @t6) (tptp.between @t1 @t2 @t9))) % 0.51/0.76 (assume @p5 (forall (@list @t2 @t1 @t4 @t6) (tptp.equidistant @t2 @t9 @t4 @t6))) % 0.51/0.76 (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)))) % 0.51/0.76 (assume @p7 (forall @t3 (or (not (tptp.between @t1 @t2 @t1)) @t8))) % 0.51/0.76 (assume @p8 (forall @t20 (or @t19 @t17 (tptp.between @t6 @t16 @t2)))) % 0.51/0.76 (assume @p9 (forall @t20 (or @t19 @t17 (tptp.between @t1 @t16 @t15)))) % 0.51/0.76 (assume @p10 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 0.51/0.76 (assume @p11 (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) % 0.51/0.76 (assume @p12 (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 0.51/0.76 (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)))) % 0.51/0.76 (assume @p14 (forall @t26 (or @t25 @t24 @t22 (tptp.between @t15 @t6 @t21)))) % 0.51/0.76 (assume @p15 (forall @t26 (or @t25 @t24 @t22 (tptp.between @t15 @t1 @t27)))) % 0.51/0.76 (assume @p16 (forall @t26 (or @t25 @t24 @t22 (tptp.between @t21 @t2 @t27)))) % 0.51/0.76 (assume @p17 (forall @t33 (or @t32 @t31 @t30 @t24 (tptp.between @t10 @t28 @t13)))) % 0.51/0.76 (assume @p18 (forall @t33 (or @t32 @t31 @t30 @t24 (tptp.equidistant @t15 @t4 @t15 @t28)))) % 0.51/0.76 (assume @p19 (forall @t36 (= @t35 @t34))) % 0.51/0.76 (assume @p20 (forall @t36 (tptp.equidistant @t15 @t6 @t15 @t6))) % 0.51/0.76 (assume @p21 (forall @t38 (or @t37 (tptp.equidistant @t4 @t1 @t15 @t6)))) % 0.51/0.76 (assume @p22 (forall @t38 (or @t37 (tptp.equidistant @t6 @t15 @t4 @t1)))) % 0.51/0.76 (assume @p23 (forall @t38 (or @t37 (tptp.equidistant @t15 @t6 @t1 @t4)))) % 0.51/0.76 (assume @p24 (forall @t38 (or @t37 (tptp.equidistant @t6 @t15 @t1 @t4)))) % 0.51/0.76 (assume @p25 (forall @t38 (or @t37 (tptp.equidistant @t4 @t1 @t6 @t15)))) % 0.51/0.76 (assume @p26 (forall @t38 (or @t37 (tptp.equidistant @t1 @t4 @t15 @t6)))) % 0.51/0.76 (assume @p27 (forall @t38 (or @t37 (tptp.equidistant @t1 @t4 @t6 @t15)))) % 0.51/0.76 (assume @p28 (forall (@list @t15 @t6 @t4 @t1 @t2 @t7) (or @t37 @t39 (tptp.equidistant @t15 @t6 @t2 @t7)))) % 0.51/0.76 (assume @p29 (forall (@list @t6 @t15 @t4) (= @t6 (tptp.extension @t15 @t6 @t4 @t4)))) % 0.51/0.76 (assume @p30 (forall (@list @t2 @t15 @t6 @t4 @t1) (or (not (= @t2 @t40)) (tptp.between @t15 @t6 @t2)))) % 0.51/0.76 (assume @p31 (forall @t36 (tptp.between @t15 @t6 @t35))) % 0.51/0.76 (assume @p32 (forall @t41 (tptp.equidistant @t6 @t35 @t15 @t6))) % 0.51/0.76 (assume @p33 (forall @t36 (or (not @t43) @t42))) % 0.51/0.76 (assume @p34 (forall (@list @t15) (= @t15 (tptp.reflection @t15 @t15)))) % 0.51/0.76 (assume @p35 (forall @t41 (or (not @t42) @t43))) % 0.51/0.76 (assume @p36 (forall @t36 (tptp.equidistant @t15 @t15 @t6 @t6))) % 0.51/0.76 (assume @p37 (forall (@list @t15 @t6 @t45 @t10 @t4 @t44) (or @t49 (not @t48) @t19 @t47 @t46))) % 0.51/0.76 (assume @p38 (forall @t38 (or @t19 @t30 (not (tptp.equidistant @t6 @t4 @t6 @t1)) @t43 (= @t4 @t1)))) % 0.51/0.76 (assume @p39 (forall @t50 (or @t19 @t43 (= @t4 (tptp.extension @t15 @t6 @t6 @t4))))) % 0.51/0.76 (assume @p40 (forall (@list @t4 @t1 @t2 @t7 @t15 @t6) (or @t39 (= @t40 (tptp.extension @t15 @t6 @t2 @t7)) @t43))) % 0.51/0.76 (assume @p41 (forall @t36 (or (= @t34 (tptp.extension @t15 @t6 @t6 @t15)) @t43))) % 0.51/0.76 (assume @p42 (forall @t41 (tptp.equidistant @t6 @t15 @t6 @t51))) % 0.51/0.76 (assume @p43 (forall @t36 (= @t15 @t51))) % 0.51/0.76 (assume @p44 (forall @t36 (tptp.between @t15 @t6 @t6))) % 0.51/0.76 (assume @p45 (forall (@list @t15 @t4 @t1 @t6) (or @t53 (not (= @t15 @t1)) @t23))) % 0.51/0.76 (assume @p46 (forall @t50 (or @t19 (tptp.between @t4 @t6 @t15)))) % 0.51/0.76 (assume @p47 (forall @t36 (tptp.between @t15 @t15 @t6))) % 0.51/0.76 (assume @p48 (forall @t50 (or @t19 @t54 @t43))) % 0.51/0.76 (assume @p49 (forall @t50 (or @t19 @t56 @t55))) % 0.51/0.76 (assume @p50 (forall @t50 (or @t19 @t54 @t43 @t55))) % 0.51/0.76 (assume @p51 (forall @t50 (or @t19 @t56 @t43 @t55))) % 0.51/0.76 (assume @p52 (forall @t38 (or @t19 @t24 @t18))) % 0.51/0.76 (assume @p53 (forall @t38 (or @t19 @t53 @t23))) % 0.51/0.76 (assume @p54 (forall @t38 (or @t19 @t24 @t52 @t55))) % 0.51/0.76 (assume @p55 (forall @t38 (or @t19 @t24 @t29 @t55))) % 0.51/0.76 (assume @p56 (forall (@list @t15 @t6 @t1 @t4) (or @t30 @t24 @t52))) % 0.51/0.76 (assume @p57 (forall @t38 (or @t19 @t53 @t29))) % 0.51/0.76 (assume @p58 (not (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 0.51/0.76 (assume @p59 (not (= tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 0.51/0.76 (assume @p60 (not (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_3))) % 0.51/0.76 (assume @p61 (forall @t41 (not (= @t6 @t57)))) % 0.51/0.76 (assume @p62 (forall (@list @t6 @t15 @t1 @t4) (tptp.equidistant @t6 @t57 @t1 (tptp.extension @t4 @t1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)))) % 0.51/0.76 (assume @p63 (forall @t36 (tptp.between @t15 @t6 @t57))) % 0.51/0.76 (assume @p64 (forall (@list @t15 @t6 @t4 @t45 @t10 @t1) (or @t19 (not (tptp.between @t45 @t10 @t4)) (not (tptp.between @t15 @t1 @t45)) (tptp.between @t1 @t58 @t4) (tptp.between @t6 @t58 @t10)))) % 0.51/0.76 (assume @p65 (forall (@list @t15 @t6 @t4 @t44) (or @t19 (not (tptp.equidistant @t15 @t4 @t15 @t44)) (not (tptp.equidistant @t6 @t4 @t6 @t44)) @t43 (= @t4 @t44)))) % 0.51/0.76 (assume @p66 @t60) % 0.51/0.76 (assume @p67 (forall (@list @t15 @t6 @t4 @t45 @t10 @t44) (or @t19 @t47 @t49 @t59 @t48))) % 0.51/0.76 (assume @p68 @t61) % 0.51/0.76 (assume @p69 @t62) % 0.51/0.76 (assume @p70 @t63) % 0.51/0.76 (assume @p71 @t64) % 0.51/0.76 (assume @p72 @t65) % 0.51/0.76 (assume @p73 @t66) % 0.51/0.76 (assume @p74 (not @t67)) % 0.51/0.76 (step @p75 :rule instantiate :premises (@p37) :args ((@list tptp.u tptp.v tptp.u1 tptp.v1 tptp.w tptp.w1))) % 0.51/0.76 (step @p76 :rule cnf_or_pos :args (@t73)) % 0.51/0.76 (step @p77 :rule reordering :premises (@p76) :args ((or @t72 @t71 @t70 @t69 @t68 (not @t73)))) % 0.51/0.76 (step @p78 :rule chain_m_resolution :premises (@p77 @p68 @p69 @p72 @p73 @p75) :args (@t68 (@list false false false false false) (@list @t61 @t62 @t65 @t66 @t73))) % 0.51/0.76 (step @p79 :rule cnf_or_pos :args (@t77)) % 0.51/0.76 (step @p80 :rule reordering :premises (@p79) :args ((or @t67 @t72 @t75 @t74 @t70 @t69 @t76 @t78))) % 0.51/0.76 (step @p81 :rule chain_m_resolution :premises (@p80 @p74 @p68 @p70 @p71 @p72 @p73 @p78) :args (@t78 (@list true false false false false false false) (@list @t67 @t61 @t63 @t64 @t65 @t66 @t68))) % 0.51/0.76 (assume-push @p88 @t60) % 0.51/0.76 (step @p83 :rule instantiate :premises (@p66) :args ((@list tptp.u tptp.v tptp.u1 tptp.v1 tptp.w tptp.w1 tptp.x tptp.x1))) % 0.51/0.76 (step-pop @p89 :rule scope :premises (@p83)) % 0.51/0.76 (step @p84 :rule process_scope :premises (@p89) :args (@t77)) % 0.51/0.76 (step @p86 :rule implies_elim :premises (@p84)) % 0.51/0.76 (step @p87 false :rule chain_m_resolution :premises (@p86 @p81 @p66) :args (false (@list true false) (@list @t77 @t60))) % 0.51/0.76 ) % 0.51/0.76 % SZS output end Proof % 0.51/0.76 % cvc5 exiting %------------------------------------------------------------------------------