%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO053-3 : 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 : n017.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 08:16:13 AM UTC 2026 % Result : Unsatisfiable 0.43s 0.63s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO053-3 : 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 % 0.16/0.33 % Computer : n017.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Mon Jun 1 23:11:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.43/0.63 % SZS status Unsatisfiable % 0.43/0.63 % SZS output start Proof % 0.43/0.64 ( % 0.43/0.64 (declare-sort $$unsorted 0) % 0.43/0.64 (declare-const tptp.u $$unsorted) % 0.43/0.64 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.64 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.64 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.43/0.64 (declare-const tptp.reflection (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.64 (declare-const tptp.v $$unsorted) % 0.43/0.64 (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.64 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 0.43/0.64 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.64 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 0.43/0.64 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 0.43/0.64 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.64 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.64 (declare-const tptp.insertion (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.64 (declare-const tptp.w $$unsorted) % 0.43/0.64 (define @t1 () (@var "X" $$unsorted)) % 0.43/0.64 (define @t2 () (@var "Y" $$unsorted)) % 0.43/0.64 (define @t3 () (@list @t1 @t2)) % 0.43/0.64 (define @t4 () (@var "W" $$unsorted)) % 0.43/0.64 (define @t5 () (@var "V2" $$unsorted)) % 0.43/0.64 (define @t6 () (@var "V" $$unsorted)) % 0.43/0.64 (define @t7 () (@var "Z" $$unsorted)) % 0.43/0.64 (define @t8 () (= @t1 @t2)) % 0.43/0.64 (define @t9 () (tptp.extension @t1 @t2 @t4 @t6)) % 0.43/0.64 (define @t10 () (@var "V1" $$unsorted)) % 0.43/0.64 (define @t11 () (@var "Z1" $$unsorted)) % 0.43/0.64 (define @t12 () (@var "Y1" $$unsorted)) % 0.43/0.64 (define @t13 () (@var "X1" $$unsorted)) % 0.43/0.64 (define @t14 () (tptp.between @t1 @t2 @t7)) % 0.43/0.64 (define @t15 () (@var "U" $$unsorted)) % 0.43/0.64 (define @t16 () (tptp.inner_pasch @t15 @t6 @t4 @t1 @t2)) % 0.43/0.64 (define @t17 () (not (tptp.between @t2 @t1 @t4))) % 0.43/0.64 (define @t18 () (tptp.between @t15 @t6 @t4)) % 0.43/0.64 (define @t19 () (not @t18)) % 0.43/0.64 (define @t20 () (@list @t15 @t6 @t4 @t2 @t1)) % 0.43/0.64 (define @t21 () (tptp.euclid1 @t15 @t6 @t4 @t1 @t2)) % 0.43/0.64 (define @t22 () (= @t15 @t4)) % 0.43/0.64 (define @t23 () (tptp.between @t6 @t4 @t1)) % 0.43/0.64 (define @t24 () (not @t23)) % 0.43/0.64 (define @t25 () (tptp.between @t15 @t4 @t2)) % 0.43/0.64 (define @t26 () (not @t25)) % 0.43/0.64 (define @t27 () (@list @t15 @t4 @t2 @t6 @t1)) % 0.43/0.64 (define @t28 () (tptp.euclid2 @t15 @t6 @t4 @t1 @t2)) % 0.43/0.64 (define @t29 () (tptp.continuous @t15 @t6 @t10 @t4 @t1 @t13)) % 0.43/0.64 (define @t30 () (tptp.between @t15 @t6 @t1)) % 0.43/0.64 (define @t31 () (not @t30)) % 0.43/0.64 (define @t32 () (not (tptp.equidistant @t15 @t1 @t15 @t13))) % 0.43/0.64 (define @t33 () (not (tptp.equidistant @t15 @t6 @t15 @t10))) % 0.43/0.64 (define @t34 () (@list @t15 @t6 @t10 @t1 @t13 @t4)) % 0.43/0.64 (define @t35 () (tptp.extension @t15 @t6 @t15 @t6)) % 0.43/0.64 (define @t36 () (tptp.reflection @t15 @t6)) % 0.43/0.64 (define @t37 () (@list @t15 @t6)) % 0.43/0.64 (define @t38 () (@var "U1" $$unsorted)) % 0.43/0.64 (define @t39 () (@var "W1" $$unsorted)) % 0.43/0.64 (define @t40 () (tptp.insertion @t38 @t39 @t15 @t6)) % 0.43/0.64 (define @t41 () (not (tptp.equidistant @t15 @t6 @t4 @t1))) % 0.43/0.64 (define @t42 () (@list @t15 @t6 @t4 @t1)) % 0.43/0.64 (define @t43 () (not (tptp.equidistant @t4 @t1 @t2 @t7))) % 0.43/0.64 (define @t44 () (tptp.between @t15 @t6 @t2)) % 0.43/0.64 (define @t45 () (tptp.extension @t15 @t6 @t4 @t1)) % 0.43/0.64 (define @t46 () (@list @t6 @t15)) % 0.43/0.64 (define @t47 () (= @t6 @t36)) % 0.43/0.64 (define @t48 () (= @t15 @t6)) % 0.43/0.64 (define @t49 () (tptp.equidistant @t15 @t4 @t38 @t39)) % 0.43/0.64 (define @t50 () (tptp.between @t38 @t10 @t39)) % 0.43/0.64 (define @t51 () (not @t50)) % 0.43/0.64 (define @t52 () (tptp.equidistant @t6 @t4 @t10 @t39)) % 0.43/0.64 (define @t53 () (not @t52)) % 0.43/0.64 (define @t54 () (not (tptp.equidistant @t15 @t6 @t38 @t10))) % 0.43/0.64 (define @t55 () (@list @t15 @t6 @t38 @t10 @t4 @t39)) % 0.43/0.64 (define @t56 () (= @t4 @t1)) % 0.43/0.64 (define @t57 () (@list @t15 @t6 @t4)) % 0.43/0.64 (define @t58 () (@list @t4 @t1 @t2 @t7 @t15 @t6)) % 0.43/0.64 (define @t59 () (tptp.reflection @t36 @t6)) % 0.43/0.64 (define @t60 () (tptp.between @t15 @t4 @t1)) % 0.43/0.64 (define @t61 () (not @t60)) % 0.43/0.64 (define @t62 () (@list @t15 @t4 @t1 @t6)) % 0.43/0.64 (define @t63 () (tptp.between @t6 @t15 @t4)) % 0.43/0.64 (define @t64 () (not @t63)) % 0.43/0.64 (define @t65 () (= @t6 @t4)) % 0.43/0.64 (define @t66 () (tptp.between @t15 @t4 @t6)) % 0.43/0.64 (define @t67 () (not @t66)) % 0.43/0.64 (define @t68 () (@list @t15 @t6 @t1 @t4)) % 0.43/0.64 (define @t69 () (tptp.extension @t15 @t6 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) % 0.43/0.64 (define @t70 () (tptp.inner_pasch @t10 (tptp.inner_pasch @t15 @t1 @t38 @t10 @t4) @t15 @t6 @t4)) % 0.43/0.64 (define @t71 () (tptp.equidistant @t6 @t1 @t10 @t13)) % 0.43/0.64 (define @t72 () (not (tptp.equidistant @t4 @t1 @t39 @t13))) % 0.43/0.64 (define @t73 () (not (tptp.equidistant @t15 @t1 @t38 @t13))) % 0.43/0.64 (define @t74 () (not @t49)) % 0.43/0.64 (define @t75 () (@list @t15 @t6 @t38 @t10 @t4 @t39 @t1 @t13)) % 0.43/0.64 (define @t76 () (not (tptp.equidistant @t4 @t6 @t4 @t1))) % 0.43/0.64 (define @t77 () (not (tptp.equidistant @t15 @t6 @t15 @t1))) % 0.43/0.64 (define @t78 () (or @t19 @t77 @t76 (= @t6 @t1))) % 0.43/0.64 (define @t79 () (forall @t42 @t78)) % 0.43/0.64 (define @t80 () (@list @t15 @t6 @t4 @t38 @t39)) % 0.43/0.64 (define @t81 () (tptp.between @t15 @t1 @t4)) % 0.43/0.64 (define @t82 () (or @t19 @t31 @t48 @t60 @t81)) % 0.43/0.64 (define @t83 () (forall @t42 @t82)) % 0.43/0.64 (define @t84 () (tptp.between tptp.u tptp.v tptp.w)) % 0.43/0.64 (define @t85 () (tptp.equidistant tptp.u tptp.v tptp.u tptp.w)) % 0.43/0.64 (define @t86 () (= tptp.v tptp.w)) % 0.43/0.64 (define @t87 () (not @t86)) % 0.43/0.64 (define @t88 () (tptp.equidistant tptp.v tptp.u tptp.u tptp.w)) % 0.43/0.64 (define @t89 () (not @t85)) % 0.43/0.64 (define @t90 () (or @t89 @t88)) % 0.43/0.64 (define @t91 () (@list false false)) % 0.43/0.64 (define @t92 () (tptp.equidistant tptp.v tptp.v tptp.v tptp.w)) % 0.43/0.64 (define @t93 () (not @t92)) % 0.43/0.64 (define @t94 () (tptp.between tptp.u tptp.v tptp.v)) % 0.43/0.64 (define @t95 () (not @t94)) % 0.43/0.64 (define @t96 () (or @t95 @t89 @t93 (= tptp.w tptp.v))) % 0.43/0.64 (define @t97 () (forall @t42 (or @t19 @t77 @t76 (= @t1 @t6)))) % 0.43/0.64 (define @t98 () (or @t95 @t89 @t93 @t86)) % 0.43/0.64 (define @t99 () (@list false)) % 0.43/0.64 (define @t100 () (not @t84)) % 0.43/0.64 (define @t101 () (or @t100 @t100 @t94 @t94)) % 0.43/0.64 (define @t102 () (tptp.between tptp.u tptp.w tptp.w)) % 0.43/0.64 (define @t103 () (or @t100 @t100 (= tptp.v tptp.u) @t102 @t102)) % 0.43/0.64 (define @t104 () (forall @t42 (or @t19 @t31 (= @t6 @t15) @t60 @t81))) % 0.43/0.64 (define @t105 () (= tptp.u tptp.v)) % 0.43/0.64 (define @t106 () (or @t100 @t100 @t105 @t102 @t102)) % 0.43/0.64 (define @t107 () (tptp.insertion tptp.u tptp.w tptp.u tptp.w)) % 0.43/0.64 (define @t108 () (tptp.insertion tptp.u tptp.w tptp.u tptp.v)) % 0.43/0.64 (define @t109 () (= @t108 @t107)) % 0.43/0.64 (define @t110 () (or @t89 @t109)) % 0.43/0.64 (define @t111 () (= tptp.v @t108)) % 0.43/0.64 (define @t112 () (or @t100 @t111)) % 0.43/0.64 (define @t113 () (not @t109)) % 0.43/0.64 (define @t114 () (= tptp.w @t107)) % 0.43/0.64 (define @t115 () (not @t114)) % 0.43/0.64 (define @t116 () (not @t111)) % 0.43/0.64 (define @t117 () (= false true)) % 0.43/0.64 (define @t118 () (and @t111 @t109 @t114 @t87)) % 0.43/0.64 (define @t119 () (not @t102)) % 0.43/0.64 (define @t120 () (or @t119 @t114)) % 0.43/0.64 (define @t121 () (@list false true false)) % 0.43/0.64 (define @t122 () (not @t105)) % 0.43/0.64 (define @t123 () (not @t88)) % 0.43/0.64 (assume @p1 (forall @t3 (tptp.equidistant @t1 @t2 @t2 @t1))) % 0.43/0.64 (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)))) % 0.43/0.64 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.equidistant @t1 @t2 @t7 @t7)) @t8))) % 0.43/0.64 (assume @p4 (forall (@list @t1 @t2 @t4 @t6) (tptp.between @t1 @t2 @t9))) % 0.43/0.64 (assume @p5 (forall (@list @t2 @t1 @t4 @t6) (tptp.equidistant @t2 @t9 @t4 @t6))) % 0.43/0.64 (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)))) % 0.43/0.64 (assume @p7 (forall @t3 (or (not (tptp.between @t1 @t2 @t1)) @t8))) % 0.43/0.64 (assume @p8 (forall @t20 (or @t19 @t17 (tptp.between @t6 @t16 @t2)))) % 0.43/0.64 (assume @p9 (forall @t20 (or @t19 @t17 (tptp.between @t1 @t16 @t15)))) % 0.43/0.64 (assume @p10 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 0.43/0.64 (assume @p11 (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) % 0.43/0.64 (assume @p12 (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 0.43/0.64 (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)))) % 0.43/0.64 (assume @p14 (forall @t27 (or @t26 @t24 @t22 (tptp.between @t15 @t6 @t21)))) % 0.43/0.64 (assume @p15 (forall @t27 (or @t26 @t24 @t22 (tptp.between @t15 @t1 @t28)))) % 0.43/0.64 (assume @p16 (forall @t27 (or @t26 @t24 @t22 (tptp.between @t21 @t2 @t28)))) % 0.43/0.64 (assume @p17 (forall @t34 (or @t33 @t32 @t31 @t24 (tptp.between @t10 @t29 @t13)))) % 0.43/0.64 (assume @p18 (forall @t34 (or @t33 @t32 @t31 @t24 (tptp.equidistant @t15 @t4 @t15 @t29)))) % 0.43/0.64 (assume @p19 (forall @t37 (= @t36 @t35))) % 0.43/0.64 (assume @p20 (forall (@list @t38 @t39 @t15 @t6) (= @t40 (tptp.extension (tptp.extension @t39 @t38 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2) @t38 @t15 @t6)))) % 0.43/0.64 (assume @p21 (forall @t37 (tptp.equidistant @t15 @t6 @t15 @t6))) % 0.43/0.64 (assume @p22 (forall @t42 (or @t41 (tptp.equidistant @t4 @t1 @t15 @t6)))) % 0.43/0.64 (assume @p23 (forall @t42 (or @t41 (tptp.equidistant @t6 @t15 @t4 @t1)))) % 0.43/0.64 (assume @p24 (forall @t42 (or @t41 (tptp.equidistant @t15 @t6 @t1 @t4)))) % 0.43/0.64 (assume @p25 (forall @t42 (or @t41 (tptp.equidistant @t6 @t15 @t1 @t4)))) % 0.43/0.64 (assume @p26 (forall @t42 (or @t41 (tptp.equidistant @t4 @t1 @t6 @t15)))) % 0.43/0.64 (assume @p27 (forall @t42 (or @t41 (tptp.equidistant @t1 @t4 @t15 @t6)))) % 0.43/0.64 (assume @p28 (forall @t42 (or @t41 (tptp.equidistant @t1 @t4 @t6 @t15)))) % 0.43/0.64 (assume @p29 (forall (@list @t15 @t6 @t4 @t1 @t2 @t7) (or @t41 @t43 (tptp.equidistant @t15 @t6 @t2 @t7)))) % 0.43/0.64 (assume @p30 (forall (@list @t6 @t15 @t4) (= @t6 (tptp.extension @t15 @t6 @t4 @t4)))) % 0.43/0.64 (assume @p31 (forall (@list @t2 @t15 @t6 @t4 @t1) (or (not (= @t2 @t45)) @t44))) % 0.43/0.64 (assume @p32 (forall @t37 (tptp.between @t15 @t6 @t36))) % 0.43/0.64 (assume @p33 (forall @t46 (tptp.equidistant @t6 @t36 @t15 @t6))) % 0.43/0.64 (assume @p34 (forall @t37 (or (not @t48) @t47))) % 0.43/0.64 (assume @p35 (forall (@list @t15) (= @t15 (tptp.reflection @t15 @t15)))) % 0.43/0.64 (assume @p36 (forall @t46 (or (not @t47) @t48))) % 0.43/0.64 (assume @p37 (forall @t37 (tptp.equidistant @t15 @t15 @t6 @t6))) % 0.43/0.64 (assume @p38 (forall @t55 (or @t54 @t53 @t19 @t51 @t49))) % 0.43/0.64 (assume @p39 (forall @t42 (or @t19 @t31 (not (tptp.equidistant @t6 @t4 @t6 @t1)) @t48 @t56))) % 0.43/0.64 (assume @p40 (forall @t57 (or @t19 @t48 (= @t4 (tptp.extension @t15 @t6 @t6 @t4))))) % 0.43/0.64 (assume @p41 (forall @t58 (or @t43 (= @t45 (tptp.extension @t15 @t6 @t2 @t7)) @t48))) % 0.43/0.64 (assume @p42 (forall @t37 (or (= @t35 (tptp.extension @t15 @t6 @t6 @t15)) @t48))) % 0.43/0.64 (assume @p43 (forall @t46 (tptp.equidistant @t6 @t15 @t6 @t59))) % 0.43/0.64 (assume @p44 (forall @t37 (= @t15 @t59))) % 0.43/0.64 (assume @p45 (forall @t37 (tptp.between @t15 @t6 @t6))) % 0.43/0.64 (assume @p46 (forall @t62 (or @t61 (not (= @t15 @t1)) @t23))) % 0.43/0.64 (assume @p47 (forall @t57 (or @t19 (tptp.between @t4 @t6 @t15)))) % 0.43/0.64 (assume @p48 (forall @t37 (tptp.between @t15 @t15 @t6))) % 0.43/0.64 (assume @p49 (forall @t57 (or @t19 @t64 @t48))) % 0.43/0.64 (assume @p50 (forall @t57 (or @t19 @t67 @t65))) % 0.43/0.64 (assume @p51 (forall @t57 (or @t19 @t64 @t48 @t65))) % 0.43/0.64 (assume @p52 (forall @t57 (or @t19 @t67 @t48 @t65))) % 0.43/0.64 (assume @p53 (forall @t42 (or @t19 @t24 @t18))) % 0.43/0.64 (assume @p54 (forall @t42 (or @t19 @t61 @t23))) % 0.43/0.64 (assume @p55 (forall @t42 (or @t19 @t24 @t60 @t65))) % 0.43/0.64 (assume @p56 (forall @t42 (or @t19 @t24 @t30 @t65))) % 0.43/0.64 (assume @p57 (forall @t68 (or @t31 @t24 @t60))) % 0.43/0.64 (assume @p58 (forall @t42 (or @t19 @t61 @t30))) % 0.43/0.64 (assume @p59 (not (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 0.43/0.64 (assume @p60 (not (= tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 0.43/0.64 (assume @p61 (not (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_3))) % 0.43/0.64 (assume @p62 (forall @t46 (not (= @t6 @t69)))) % 0.43/0.64 (assume @p63 (forall (@list @t6 @t15 @t1 @t4) (tptp.equidistant @t6 @t69 @t1 (tptp.extension @t4 @t1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)))) % 0.43/0.64 (assume @p64 (forall @t37 (tptp.between @t15 @t6 @t69))) % 0.43/0.64 (assume @p65 (forall (@list @t15 @t6 @t4 @t38 @t10 @t1) (or @t19 (not (tptp.between @t38 @t10 @t4)) (not (tptp.between @t15 @t1 @t38)) (tptp.between @t1 @t70 @t4) (tptp.between @t6 @t70 @t10)))) % 0.43/0.64 (assume @p66 (forall (@list @t15 @t6 @t4 @t39) (or @t19 (not (tptp.equidistant @t15 @t4 @t15 @t39)) (not (tptp.equidistant @t6 @t4 @t6 @t39)) @t48 (= @t4 @t39)))) % 0.43/0.64 (assume @p67 (forall @t75 (or @t54 @t74 @t73 @t72 @t19 @t51 @t71))) % 0.43/0.64 (assume @p68 (forall (@list @t15 @t6 @t4 @t38 @t10 @t39) (or @t19 @t51 @t54 @t74 @t52))) % 0.43/0.64 (assume @p69 (forall @t75 (or @t54 @t53 @t73 @t72 @t19 @t51 @t71))) % 0.43/0.64 (assume @p70 @t79) % 0.43/0.64 (assume @p71 (forall (@list @t15 @t6 @t38 @t39) (tptp.equidistant @t15 @t6 @t38 @t40))) % 0.43/0.64 (assume @p72 (forall @t80 (or @t19 @t74 (tptp.between @t38 @t40 @t39)))) % 0.43/0.64 (assume @p73 (forall @t80 (or @t19 @t74 (tptp.equidistant @t6 @t4 @t40 @t39)))) % 0.43/0.64 (assume @p74 (forall @t57 (or @t19 (= @t6 (tptp.insertion @t15 @t4 @t15 @t6))))) % 0.43/0.64 (assume @p75 (forall @t58 (or @t43 (= (tptp.insertion @t15 @t6 @t4 @t1) (tptp.insertion @t15 @t6 @t2 @t7))))) % 0.43/0.64 (assume @p76 (forall @t55 (or @t54 @t53 @t74 @t19 @t50))) % 0.43/0.64 (assume @p77 @t83) % 0.43/0.64 (assume @p78 (forall @t42 (or @t19 @t31 @t48 @t23 (tptp.between @t6 @t1 @t4)))) % 0.43/0.64 (assume @p79 (forall @t62 (or @t61 @t24 @t56 @t18 @t63))) % 0.43/0.64 (assume @p80 (forall @t68 (or @t31 @t61 @t18 @t66))) % 0.43/0.64 (assume @p81 (forall @t68 (or @t31 @t61 @t23 (tptp.between @t4 @t6 @t1)))) % 0.43/0.64 (assume @p82 (forall (@list @t15 @t6 @t2 @t4 @t1) (or (not @t44) @t24 (not (tptp.between @t15 @t1 @t2)) @t25))) % 0.43/0.64 (assume @p83 @t84) % 0.43/0.64 (assume @p84 @t85) % 0.43/0.64 (assume @p85 @t87) % 0.43/0.64 (step @p86 :rule instantiate :premises (@p23) :args ((@list tptp.u tptp.v tptp.u tptp.w))) % 0.43/0.64 (step @p87 :rule cnf_or_pos :args (@t90)) % 0.43/0.64 (step @p88 :rule reordering :premises (@p87) :args ((or @t89 @t88 (not @t90)))) % 0.43/0.64 (step @p89 :rule chain_m_resolution :premises (@p88 @p84 @p86) :args (@t88 @t91 (@list @t85 @t90))) % 0.43/0.64 (step @p90 :rule eq-symm :args (@t6 @t1)) % 0.43/0.64 (step @p91 :rule refl :args (@t76)) % 0.43/0.64 (step @p92 :rule refl :args (@t77)) % 0.43/0.64 (step @p93 :rule refl :args (@t19)) % 0.43/0.64 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91 @p90) :args (@t78)) % 0.43/0.64 (step @p95 :rule cong :premises (@p94) :args (@t79)) % 0.43/0.64 (step @p96 :rule eq_resolve :premises (@p70 @p95)) % 0.43/0.64 (step @p97 :rule eq-symm :args (tptp.w tptp.v)) % 0.43/0.64 (step @p98 :rule refl :args (@t93)) % 0.43/0.64 (step @p99 :rule refl :args (@t89)) % 0.43/0.64 (step @p100 :rule refl :args (@t95)) % 0.43/0.64 (step @p101 :rule nary_cong :premises (@p100 @p99 @p98 @p97) :args (@t96)) % 0.43/0.64 (step @p102 :rule refl :args (@t97)) % 0.43/0.64 (step @p103 :rule cong :premises (@p102 @p101) :args ((=> @t97 @t96))) % 0.43/0.64 (assume-push @p219 @t97) % 0.43/0.64 (step @p105 :rule instantiate :premises (@p96) :args ((@list tptp.u tptp.v tptp.v tptp.w))) % 0.43/0.64 (step-pop @p220 :rule scope :premises (@p105)) % 0.43/0.64 (step @p106 :rule process_scope :premises (@p220) :args (@t96)) % 0.43/0.64 (step @p108 :rule eq_resolve :premises (@p106 @p103)) % 0.43/0.64 (step @p109 :rule implies_elim :premises (@p108)) % 0.43/0.64 (step @p110 :rule chain_m_resolution :premises (@p109 @p96) :args (@t98 @t99 (@list @t97))) % 0.43/0.64 (step @p111 :rule instantiate :premises (@p80) :args ((@list tptp.u tptp.v tptp.w tptp.v))) % 0.43/0.64 (step @p112 :rule cnf_or_pos :args (@t101)) % 0.43/0.64 (step @p113 :rule factoring :premises (@p112)) % 0.43/0.64 (step @p114 :rule reordering :premises (@p113) :args ((or @t100 @t94 (not @t101)))) % 0.43/0.64 (step @p115 :rule chain_m_resolution :premises (@p114 @p83 @p111) :args (@t94 @t91 (@list @t84 @t101))) % 0.43/0.64 (step @p116 :rule cnf_or_pos :args (@t98)) % 0.43/0.64 (step @p117 :rule reordering :premises (@p116) :args ((or @t86 @t89 @t95 @t93 (not @t98)))) % 0.43/0.64 (step @p118 :rule chain_m_resolution :premises (@p117 @p85 @p84 @p115 @p110) :args (@t93 (@list true false false false) (@list @t86 @t85 @t94 @t98))) % 0.43/0.64 (step @p119 :rule refl :args (@t81)) % 0.43/0.64 (step @p120 :rule refl :args (@t60)) % 0.43/0.64 (step @p121 :rule eq-symm :args (@t15 @t6)) % 0.43/0.64 (step @p122 :rule refl :args (@t31)) % 0.43/0.64 (step @p123 :rule nary_cong :premises (@p93 @p122 @p121 @p120 @p119) :args (@t82)) % 0.43/0.64 (step @p124 :rule cong :premises (@p123) :args (@t83)) % 0.43/0.64 (step @p125 :rule eq_resolve :premises (@p77 @p124)) % 0.43/0.64 (step @p126 :rule refl :args (@t102)) % 0.43/0.64 (step @p127 :rule eq-symm :args (tptp.v tptp.u)) % 0.43/0.64 (step @p128 :rule refl :args (@t100)) % 0.43/0.64 (step @p129 :rule nary_cong :premises (@p128 @p128 @p127 @p126 @p126) :args (@t103)) % 0.43/0.64 (step @p130 :rule refl :args (@t104)) % 0.43/0.64 (step @p131 :rule cong :premises (@p130 @p129) :args ((=> @t104 @t103))) % 0.43/0.64 (assume-push @p221 @t104) % 0.43/0.64 (step @p133 :rule instantiate :premises (@p125) :args ((@list tptp.u tptp.v tptp.w tptp.w))) % 0.43/0.64 (step-pop @p222 :rule scope :premises (@p133)) % 0.43/0.64 (step @p134 :rule process_scope :premises (@p222) :args (@t103)) % 0.43/0.64 (step @p136 :rule eq_resolve :premises (@p134 @p131)) % 0.43/0.64 (step @p137 :rule implies_elim :premises (@p136)) % 0.43/0.64 (step @p138 :rule chain_m_resolution :premises (@p137 @p125) :args (@t106 @t99 (@list @t104))) % 0.43/0.64 (step @p139 :rule instantiate :premises (@p74) :args ((@list tptp.u tptp.w tptp.w))) % 0.43/0.64 (step @p140 :rule instantiate :premises (@p75) :args ((@list tptp.u tptp.v tptp.u tptp.w tptp.u tptp.w))) % 0.43/0.64 (step @p141 :rule cnf_or_pos :args (@t110)) % 0.43/0.64 (step @p142 :rule reordering :premises (@p141) :args ((or @t89 @t109 (not @t110)))) % 0.43/0.64 (step @p143 :rule chain_m_resolution :premises (@p142 @p84 @p140) :args (@t109 @t91 (@list @t85 @t110))) % 0.43/0.64 (step @p144 :rule instantiate :premises (@p74) :args ((@list tptp.u tptp.v tptp.w))) % 0.43/0.64 (step @p145 :rule cnf_or_pos :args (@t112)) % 0.43/0.64 (step @p146 :rule reordering :premises (@p145) :args ((or @t100 @t111 (not @t112)))) % 0.43/0.64 (step @p147 :rule chain_m_resolution :premises (@p146 @p83 @p144) :args (@t111 @t91 (@list @t84 @t112))) % 0.43/0.64 (step @p148 :rule refl :args (@t113)) % 0.43/0.64 (step @p149 :rule refl :args (@t115)) % 0.43/0.64 (step @p150 :rule refl :args (@t116)) % 0.43/0.64 (step @p151 :rule bool-double-not-elim :args (@t86)) % 0.43/0.64 (step @p152 :rule nary_cong :premises (@p151 @p150 @p149 @p148) :args ((or (not @t87) @t116 @t115 @t113))) % 0.43/0.64 (assume-push @p223 @t111) % 0.43/0.64 (assume-push @p224 @t109) % 0.43/0.64 (assume-push @p225 @t114) % 0.43/0.64 (assume-push @p226 @t87) % 0.43/0.64 (step @p157 :rule evaluate :args (@t117)) % 0.43/0.64 (step @p158 :rule symm :premises (@p143)) % 0.43/0.64 (step @p159 :rule trans :premises (@p225 @p158)) % 0.43/0.64 (step @p160 :rule symm :premises (@p159)) % 0.43/0.64 (step @p161 :rule trans :premises (@p147 @p160)) % 0.43/0.64 (step @p162 :rule true_intro :premises (@p161)) % 0.43/0.64 (step @p163 :rule false_intro :premises (@p85)) % 0.43/0.64 (step @p164 :rule symm :premises (@p163)) % 0.43/0.64 (step @p165 :rule trans :premises (@p164 @p162)) % 0.43/0.64 (step @p166 false :rule eq_resolve :premises (@p165 @p157)) % 0.43/0.64 (step-pop @p227 :rule scope :premises (@p166)) % 0.43/0.64 (step-pop @p228 :rule scope :premises (@p227)) % 0.43/0.64 (step-pop @p229 :rule scope :premises (@p228)) % 0.43/0.64 (step-pop @p230 :rule scope :premises (@p229)) % 0.43/0.64 (step @p167 :rule process_scope :premises (@p230) :args (false)) % 0.43/0.64 (assume-push @p231 @t87) % 0.43/0.64 (assume-push @p232 @t111) % 0.43/0.64 (assume-push @p233 @t114) % 0.43/0.64 (assume-push @p234 @t109) % 0.43/0.64 (step @p176 :rule and_intro :premises (@p147 @p143 @p233 @p85)) % 0.43/0.64 (step-pop @p235 :rule scope :premises (@p176)) % 0.43/0.64 (step-pop @p236 :rule scope :premises (@p235)) % 0.43/0.64 (step-pop @p237 :rule scope :premises (@p236)) % 0.43/0.64 (step-pop @p238 :rule scope :premises (@p237)) % 0.43/0.64 (step @p177 :rule process_scope :premises (@p238) :args (@t118)) % 0.43/0.64 (step @p182 :rule implies_elim :premises (@p177)) % 0.43/0.64 (step @p183 :rule resolution :premises (@p182 @p167) :args (true @t118)) % 0.43/0.64 (step @p184 :rule not_and :premises (@p183)) % 0.43/0.64 (step @p185 :rule eq_resolve :premises (@p184 @p152)) % 0.43/0.64 (step @p186 :rule chain_m_resolution :premises (@p185 @p85 @p147 @p143) :args (@t115 (@list true false false) (@list @t86 @t111 @t109))) % 0.43/0.64 (step @p187 :rule cnf_or_pos :args (@t120)) % 0.43/0.64 (step @p188 :rule reordering :premises (@p187) :args ((or @t119 @t114 (not @t120)))) % 0.43/0.64 (step @p189 :rule chain_m_resolution :premises (@p188 @p186 @p139) :args (@t119 (@list true false) (@list @t114 @t120))) % 0.43/0.64 (step @p190 :rule cnf_or_pos :args (@t106)) % 0.43/0.64 (step @p191 :rule factoring :premises (@p190)) % 0.43/0.64 (step @p192 :rule reordering :premises (@p191) :args ((or @t100 @t105 @t102 (not @t106)))) % 0.43/0.64 (step @p193 :rule chain_m_resolution :premises (@p192 @p83 @p189 @p138) :args (@t105 @t121 (@list @t84 @t102 @t106))) % 0.43/0.64 (step @p194 :rule bool-double-not-elim :args (@t92)) % 0.43/0.64 (step @p195 :rule refl :args (@t122)) % 0.43/0.64 (step @p196 :rule refl :args (@t123)) % 0.43/0.64 (step @p197 :rule nary_cong :premises (@p196 @p195 @p194) :args ((or @t123 @t122 (not @t93)))) % 0.43/0.64 (assume-push @p239 @t88) % 0.43/0.64 (assume-push @p240 @t105) % 0.43/0.64 (assume-push @p241 @t93) % 0.43/0.64 (step @p157 :rule evaluate :args (@t117)) % 0.43/0.64 (step @p201 :rule true_intro :premises (@p89)) % 0.43/0.64 (step @p202 :rule refl :args (tptp.w)) % 0.43/0.64 (step @p203 :rule refl :args (tptp.u)) % 0.43/0.64 (step @p204 :rule symm :premises (@p240)) % 0.43/0.64 (step @p205 :rule refl :args (tptp.v)) % 0.43/0.64 (step @p206 :rule cong :premises (@p205 @p204 @p203 @p202) :args ((tptp.equidistant tptp.v tptp.v tptp.u tptp.w))) % 0.43/0.64 (step @p207 :rule cong :premises (@p205 @p205 @p204 @p202) :args (@t92)) % 0.43/0.64 (step @p208 :rule false_intro :premises (@p118)) % 0.43/0.64 (step @p209 :rule symm :premises (@p208)) % 0.43/0.64 (step @p210 :rule trans :premises (@p209 @p207 @p206 @p201)) % 0.43/0.64 (step @p211 false :rule eq_resolve :premises (@p210 @p157)) % 0.43/0.64 (step-pop @p242 :rule scope :premises (@p211)) % 0.43/0.64 (step-pop @p243 :rule scope :premises (@p242)) % 0.43/0.64 (step-pop @p244 :rule scope :premises (@p243)) % 0.43/0.64 (step @p212 :rule process_scope :premises (@p244) :args (false)) % 0.43/0.64 (step @p216 :rule not_and :premises (@p212)) % 0.43/0.64 (step @p217 :rule eq_resolve :premises (@p216 @p197)) % 0.43/0.64 (step @p218 false :rule chain_m_resolution :premises (@p217 @p193 @p118 @p89) :args (false @t121 (@list @t105 @t92 @t88))) % 0.43/0.64 ) % 0.43/0.64 % SZS output end Proof % 0.43/0.64 % cvc5 exiting %------------------------------------------------------------------------------