%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO009-3 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 1.31s 1.59s % Output : Proof 1.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO009-3 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n023.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 23:07:13 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... % 1.31/1.59 % SZS status Unsatisfiable % 1.31/1.59 % SZS output start Proof % 1.31/1.59 ( % 1.31/1.59 (declare-sort $$unsorted 0) % 1.31/1.59 (declare-const tptp.d $$unsorted) % 1.31/1.59 (declare-const tptp.c $$unsorted) % 1.31/1.59 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.31/1.59 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.31/1.59 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.31/1.59 (declare-const tptp.reflection (-> $$unsorted $$unsorted $$unsorted)) % 1.31/1.59 (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.31/1.59 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 1.31/1.59 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.31/1.59 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 1.31/1.59 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 1.31/1.59 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.31/1.59 (declare-const tptp.a $$unsorted) % 1.31/1.59 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.31/1.59 (declare-const tptp.e $$unsorted) % 1.31/1.59 (declare-const tptp.insertion (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.31/1.59 (define @t1 () (@var "X" $$unsorted)) % 1.31/1.59 (define @t2 () (@var "Y" $$unsorted)) % 1.31/1.59 (define @t3 () (@list @t1 @t2)) % 1.31/1.59 (define @t4 () (@var "W" $$unsorted)) % 1.31/1.59 (define @t5 () (@var "V2" $$unsorted)) % 1.31/1.59 (define @t6 () (@var "V" $$unsorted)) % 1.31/1.59 (define @t7 () (@var "Z" $$unsorted)) % 1.31/1.59 (define @t8 () (= @t1 @t2)) % 1.31/1.59 (define @t9 () (tptp.extension @t1 @t2 @t4 @t6)) % 1.31/1.59 (define @t10 () (@var "V1" $$unsorted)) % 1.31/1.59 (define @t11 () (@var "Z1" $$unsorted)) % 1.31/1.59 (define @t12 () (@var "Y1" $$unsorted)) % 1.31/1.59 (define @t13 () (@var "X1" $$unsorted)) % 1.31/1.59 (define @t14 () (tptp.between @t1 @t2 @t7)) % 1.31/1.59 (define @t15 () (@var "U" $$unsorted)) % 1.31/1.59 (define @t16 () (tptp.inner_pasch @t15 @t6 @t4 @t1 @t2)) % 1.31/1.59 (define @t17 () (not (tptp.between @t2 @t1 @t4))) % 1.31/1.59 (define @t18 () (tptp.between @t15 @t6 @t4)) % 1.31/1.59 (define @t19 () (not @t18)) % 1.31/1.59 (define @t20 () (@list @t15 @t6 @t4 @t2 @t1)) % 1.31/1.59 (define @t21 () (tptp.euclid1 @t15 @t6 @t4 @t1 @t2)) % 1.31/1.59 (define @t22 () (= @t15 @t4)) % 1.31/1.59 (define @t23 () (tptp.between @t6 @t4 @t1)) % 1.31/1.59 (define @t24 () (not @t23)) % 1.31/1.59 (define @t25 () (not (tptp.between @t15 @t4 @t2))) % 1.31/1.59 (define @t26 () (@list @t15 @t4 @t2 @t6 @t1)) % 1.31/1.59 (define @t27 () (tptp.euclid2 @t15 @t6 @t4 @t1 @t2)) % 1.31/1.59 (define @t28 () (tptp.continuous @t15 @t6 @t10 @t4 @t1 @t13)) % 1.31/1.59 (define @t29 () (tptp.between @t15 @t6 @t1)) % 1.31/1.59 (define @t30 () (not @t29)) % 1.31/1.59 (define @t31 () (not (tptp.equidistant @t15 @t1 @t15 @t13))) % 1.31/1.59 (define @t32 () (not (tptp.equidistant @t15 @t6 @t15 @t10))) % 1.31/1.59 (define @t33 () (@list @t15 @t6 @t10 @t1 @t13 @t4)) % 1.31/1.59 (define @t34 () (tptp.extension @t15 @t6 @t15 @t6)) % 1.31/1.59 (define @t35 () (tptp.reflection @t15 @t6)) % 1.31/1.59 (define @t36 () (@list @t15 @t6)) % 1.31/1.59 (define @t37 () (@var "U1" $$unsorted)) % 1.31/1.59 (define @t38 () (@var "W1" $$unsorted)) % 1.31/1.59 (define @t39 () (tptp.insertion @t37 @t38 @t15 @t6)) % 1.31/1.59 (define @t40 () (not (tptp.equidistant @t15 @t6 @t4 @t1))) % 1.31/1.59 (define @t41 () (@list @t15 @t6 @t4 @t1)) % 1.31/1.59 (define @t42 () (not (tptp.equidistant @t4 @t1 @t2 @t7))) % 1.31/1.59 (define @t43 () (tptp.extension @t15 @t6 @t4 @t1)) % 1.31/1.59 (define @t44 () (@list @t6 @t15)) % 1.31/1.59 (define @t45 () (= @t6 @t35)) % 1.31/1.59 (define @t46 () (= @t15 @t6)) % 1.31/1.59 (define @t47 () (tptp.equidistant @t15 @t4 @t37 @t38)) % 1.31/1.59 (define @t48 () (tptp.between @t37 @t10 @t38)) % 1.31/1.59 (define @t49 () (not @t48)) % 1.31/1.59 (define @t50 () (tptp.equidistant @t6 @t4 @t10 @t38)) % 1.31/1.59 (define @t51 () (not @t50)) % 1.31/1.59 (define @t52 () (not (tptp.equidistant @t15 @t6 @t37 @t10))) % 1.31/1.59 (define @t53 () (@list @t15 @t6 @t37 @t10 @t4 @t38)) % 1.31/1.59 (define @t54 () (= @t4 @t1)) % 1.31/1.59 (define @t55 () (@list @t15 @t6 @t4)) % 1.31/1.59 (define @t56 () (@list @t4 @t1 @t2 @t7 @t15 @t6)) % 1.31/1.59 (define @t57 () (tptp.reflection @t35 @t6)) % 1.31/1.59 (define @t58 () (tptp.between @t15 @t4 @t1)) % 1.31/1.59 (define @t59 () (not @t58)) % 1.31/1.59 (define @t60 () (@list @t15 @t4 @t1 @t6)) % 1.31/1.59 (define @t61 () (tptp.between @t6 @t15 @t4)) % 1.31/1.59 (define @t62 () (not @t61)) % 1.31/1.59 (define @t63 () (= @t6 @t4)) % 1.31/1.59 (define @t64 () (not (tptp.between @t15 @t4 @t6))) % 1.31/1.59 (define @t65 () (tptp.extension @t15 @t6 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) % 1.31/1.59 (define @t66 () (tptp.inner_pasch @t10 (tptp.inner_pasch @t15 @t1 @t37 @t10 @t4) @t15 @t6 @t4)) % 1.31/1.59 (define @t67 () (tptp.equidistant @t6 @t1 @t10 @t13)) % 1.31/1.59 (define @t68 () (not (tptp.equidistant @t4 @t1 @t38 @t13))) % 1.31/1.59 (define @t69 () (not (tptp.equidistant @t15 @t1 @t37 @t13))) % 1.31/1.59 (define @t70 () (not @t47)) % 1.31/1.59 (define @t71 () (@list @t15 @t6 @t37 @t10 @t4 @t38 @t1 @t13)) % 1.31/1.59 (define @t72 () (@list @t15 @t6 @t4 @t37 @t38)) % 1.31/1.59 (define @t73 () (or @t59 @t24 @t54 @t18 @t61)) % 1.31/1.59 (define @t74 () (forall @t60 @t73)) % 1.31/1.59 (define @t75 () (tptp.between tptp.a tptp.c tptp.e)) % 1.31/1.59 (define @t76 () (tptp.between tptp.a tptp.d tptp.e)) % 1.31/1.59 (define @t77 () (tptp.between tptp.a tptp.c tptp.d)) % 1.31/1.59 (define @t78 () (tptp.between tptp.a tptp.d tptp.c)) % 1.31/1.59 (define @t79 () (tptp.extension tptp.e tptp.a tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) % 1.31/1.59 (define @t80 () (tptp.extension @t79 tptp.a tptp.a tptp.c)) % 1.31/1.59 (define @t81 () (tptp.between @t80 tptp.a @t79)) % 1.31/1.59 (define @t82 () (tptp.between @t79 tptp.a @t80)) % 1.31/1.59 (define @t83 () (not @t82)) % 1.31/1.59 (define @t84 () (or @t83 @t81)) % 1.31/1.59 (define @t85 () (@list false false)) % 1.31/1.59 (define @t86 () (tptp.extension @t79 tptp.a tptp.a tptp.d)) % 1.31/1.59 (define @t87 () (tptp.between @t86 tptp.a @t79)) % 1.31/1.59 (define @t88 () (tptp.between @t79 tptp.a @t86)) % 1.31/1.59 (define @t89 () (not @t88)) % 1.31/1.59 (define @t90 () (or @t89 @t87)) % 1.31/1.59 (define @t91 () (= tptp.d (tptp.insertion tptp.a tptp.e tptp.a tptp.d))) % 1.31/1.59 (define @t92 () (not @t76)) % 1.31/1.59 (define @t93 () (or @t92 @t91)) % 1.31/1.59 (define @t94 () (tptp.between tptp.d tptp.a @t79)) % 1.31/1.59 (define @t95 () (tptp.between tptp.d @t80 tptp.a)) % 1.31/1.59 (define @t96 () (tptp.between @t80 tptp.d tptp.a)) % 1.31/1.59 (define @t97 () (not @t94)) % 1.31/1.59 (define @t98 () (not @t81)) % 1.31/1.59 (define @t99 () (or @t98 @t97 (= @t79 tptp.a) @t96 @t95)) % 1.31/1.59 (define @t100 () (forall @t60 (or @t59 @t24 (= @t1 @t4) @t18 @t61))) % 1.31/1.59 (define @t101 () (= tptp.a @t79)) % 1.31/1.59 (define @t102 () (or @t98 @t97 @t101 @t96 @t95)) % 1.31/1.59 (define @t103 () (not (tptp.between tptp.d tptp.c tptp.a))) % 1.31/1.59 (define @t104 () (or @t103 @t77)) % 1.31/1.59 (define @t105 () (@list true false)) % 1.31/1.59 (define @t106 () (= tptp.c (tptp.insertion tptp.a tptp.e tptp.a tptp.c))) % 1.31/1.59 (define @t107 () (not @t75)) % 1.31/1.59 (define @t108 () (or @t107 @t106)) % 1.31/1.59 (define @t109 () (not (tptp.between tptp.c tptp.d tptp.a))) % 1.31/1.59 (define @t110 () (or @t109 @t78)) % 1.31/1.59 (assume @p1 (forall @t3 (tptp.equidistant @t1 @t2 @t2 @t1))) % 1.31/1.59 (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)))) % 1.31/1.59 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.equidistant @t1 @t2 @t7 @t7)) @t8))) % 1.31/1.59 (assume @p4 (forall (@list @t1 @t2 @t4 @t6) (tptp.between @t1 @t2 @t9))) % 1.31/1.59 (assume @p5 (forall (@list @t2 @t1 @t4 @t6) (tptp.equidistant @t2 @t9 @t4 @t6))) % 1.31/1.59 (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)))) % 1.31/1.59 (assume @p7 (forall @t3 (or (not (tptp.between @t1 @t2 @t1)) @t8))) % 1.31/1.59 (assume @p8 (forall @t20 (or @t19 @t17 (tptp.between @t6 @t16 @t2)))) % 1.31/1.59 (assume @p9 (forall @t20 (or @t19 @t17 (tptp.between @t1 @t16 @t15)))) % 1.31/1.59 (assume @p10 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 1.31/1.59 (assume @p11 (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) % 1.31/1.59 (assume @p12 (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 1.31/1.59 (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)))) % 1.31/1.59 (assume @p14 (forall @t26 (or @t25 @t24 @t22 (tptp.between @t15 @t6 @t21)))) % 1.31/1.59 (assume @p15 (forall @t26 (or @t25 @t24 @t22 (tptp.between @t15 @t1 @t27)))) % 1.31/1.59 (assume @p16 (forall @t26 (or @t25 @t24 @t22 (tptp.between @t21 @t2 @t27)))) % 1.31/1.59 (assume @p17 (forall @t33 (or @t32 @t31 @t30 @t24 (tptp.between @t10 @t28 @t13)))) % 1.31/1.59 (assume @p18 (forall @t33 (or @t32 @t31 @t30 @t24 (tptp.equidistant @t15 @t4 @t15 @t28)))) % 1.31/1.59 (assume @p19 (forall @t36 (= @t35 @t34))) % 1.31/1.59 (assume @p20 (forall (@list @t37 @t38 @t15 @t6) (= @t39 (tptp.extension (tptp.extension @t38 @t37 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2) @t37 @t15 @t6)))) % 1.31/1.59 (assume @p21 (forall @t36 (tptp.equidistant @t15 @t6 @t15 @t6))) % 1.31/1.59 (assume @p22 (forall @t41 (or @t40 (tptp.equidistant @t4 @t1 @t15 @t6)))) % 1.31/1.59 (assume @p23 (forall @t41 (or @t40 (tptp.equidistant @t6 @t15 @t4 @t1)))) % 1.31/1.59 (assume @p24 (forall @t41 (or @t40 (tptp.equidistant @t15 @t6 @t1 @t4)))) % 1.31/1.59 (assume @p25 (forall @t41 (or @t40 (tptp.equidistant @t6 @t15 @t1 @t4)))) % 1.31/1.59 (assume @p26 (forall @t41 (or @t40 (tptp.equidistant @t4 @t1 @t6 @t15)))) % 1.31/1.59 (assume @p27 (forall @t41 (or @t40 (tptp.equidistant @t1 @t4 @t15 @t6)))) % 1.31/1.59 (assume @p28 (forall @t41 (or @t40 (tptp.equidistant @t1 @t4 @t6 @t15)))) % 1.31/1.59 (assume @p29 (forall (@list @t15 @t6 @t4 @t1 @t2 @t7) (or @t40 @t42 (tptp.equidistant @t15 @t6 @t2 @t7)))) % 1.31/1.59 (assume @p30 (forall (@list @t6 @t15 @t4) (= @t6 (tptp.extension @t15 @t6 @t4 @t4)))) % 1.31/1.59 (assume @p31 (forall (@list @t2 @t15 @t6 @t4 @t1) (or (not (= @t2 @t43)) (tptp.between @t15 @t6 @t2)))) % 1.31/1.59 (assume @p32 (forall @t36 (tptp.between @t15 @t6 @t35))) % 1.31/1.59 (assume @p33 (forall @t44 (tptp.equidistant @t6 @t35 @t15 @t6))) % 1.31/1.59 (assume @p34 (forall @t36 (or (not @t46) @t45))) % 1.31/1.59 (assume @p35 (forall (@list @t15) (= @t15 (tptp.reflection @t15 @t15)))) % 1.31/1.59 (assume @p36 (forall @t44 (or (not @t45) @t46))) % 1.31/1.59 (assume @p37 (forall @t36 (tptp.equidistant @t15 @t15 @t6 @t6))) % 1.31/1.59 (assume @p38 (forall @t53 (or @t52 @t51 @t19 @t49 @t47))) % 1.31/1.59 (assume @p39 (forall @t41 (or @t19 @t30 (not (tptp.equidistant @t6 @t4 @t6 @t1)) @t46 @t54))) % 1.31/1.59 (assume @p40 (forall @t55 (or @t19 @t46 (= @t4 (tptp.extension @t15 @t6 @t6 @t4))))) % 1.31/1.59 (assume @p41 (forall @t56 (or @t42 (= @t43 (tptp.extension @t15 @t6 @t2 @t7)) @t46))) % 1.31/1.59 (assume @p42 (forall @t36 (or (= @t34 (tptp.extension @t15 @t6 @t6 @t15)) @t46))) % 1.31/1.59 (assume @p43 (forall @t44 (tptp.equidistant @t6 @t15 @t6 @t57))) % 1.31/1.59 (assume @p44 (forall @t36 (= @t15 @t57))) % 1.31/1.59 (assume @p45 (forall @t36 (tptp.between @t15 @t6 @t6))) % 1.31/1.59 (assume @p46 (forall @t60 (or @t59 (not (= @t15 @t1)) @t23))) % 1.31/1.59 (assume @p47 (forall @t55 (or @t19 (tptp.between @t4 @t6 @t15)))) % 1.31/1.59 (assume @p48 (forall @t36 (tptp.between @t15 @t15 @t6))) % 1.31/1.59 (assume @p49 (forall @t55 (or @t19 @t62 @t46))) % 1.31/1.59 (assume @p50 (forall @t55 (or @t19 @t64 @t63))) % 1.31/1.59 (assume @p51 (forall @t55 (or @t19 @t62 @t46 @t63))) % 1.31/1.59 (assume @p52 (forall @t55 (or @t19 @t64 @t46 @t63))) % 1.31/1.59 (assume @p53 (forall @t41 (or @t19 @t24 @t18))) % 1.31/1.59 (assume @p54 (forall @t41 (or @t19 @t59 @t23))) % 1.31/1.59 (assume @p55 (forall @t41 (or @t19 @t24 @t58 @t63))) % 1.31/1.59 (assume @p56 (forall @t41 (or @t19 @t24 @t29 @t63))) % 1.31/1.59 (assume @p57 (forall (@list @t15 @t6 @t1 @t4) (or @t30 @t24 @t58))) % 1.31/1.59 (assume @p58 (forall @t41 (or @t19 @t59 @t29))) % 1.31/1.59 (assume @p59 (not (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 1.31/1.59 (assume @p60 (not (= tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 1.31/1.59 (assume @p61 (not (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_3))) % 1.31/1.59 (assume @p62 (forall @t44 (not (= @t6 @t65)))) % 1.31/1.59 (assume @p63 (forall (@list @t6 @t15 @t1 @t4) (tptp.equidistant @t6 @t65 @t1 (tptp.extension @t4 @t1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)))) % 1.31/1.59 (assume @p64 (forall @t36 (tptp.between @t15 @t6 @t65))) % 1.31/1.59 (assume @p65 (forall (@list @t15 @t6 @t4 @t37 @t10 @t1) (or @t19 (not (tptp.between @t37 @t10 @t4)) (not (tptp.between @t15 @t1 @t37)) (tptp.between @t1 @t66 @t4) (tptp.between @t6 @t66 @t10)))) % 1.31/1.59 (assume @p66 (forall (@list @t15 @t6 @t4 @t38) (or @t19 (not (tptp.equidistant @t15 @t4 @t15 @t38)) (not (tptp.equidistant @t6 @t4 @t6 @t38)) @t46 (= @t4 @t38)))) % 1.31/1.59 (assume @p67 (forall @t71 (or @t52 @t70 @t69 @t68 @t19 @t49 @t67))) % 1.31/1.59 (assume @p68 (forall (@list @t15 @t6 @t4 @t37 @t10 @t38) (or @t19 @t49 @t52 @t70 @t50))) % 1.31/1.59 (assume @p69 (forall @t71 (or @t52 @t51 @t69 @t68 @t19 @t49 @t67))) % 1.31/1.59 (assume @p70 (forall @t41 (or @t19 (not (tptp.equidistant @t15 @t6 @t15 @t1)) (not (tptp.equidistant @t4 @t6 @t4 @t1)) (= @t6 @t1)))) % 1.31/1.59 (assume @p71 (forall (@list @t15 @t6 @t37 @t38) (tptp.equidistant @t15 @t6 @t37 @t39))) % 1.31/1.59 (assume @p72 (forall @t72 (or @t19 @t70 (tptp.between @t37 @t39 @t38)))) % 1.31/1.59 (assume @p73 (forall @t72 (or @t19 @t70 (tptp.equidistant @t6 @t4 @t39 @t38)))) % 1.31/1.59 (assume @p74 (forall @t55 (or @t19 (= @t6 (tptp.insertion @t15 @t4 @t15 @t6))))) % 1.31/1.59 (assume @p75 (forall @t56 (or @t42 (= (tptp.insertion @t15 @t6 @t4 @t1) (tptp.insertion @t15 @t6 @t2 @t7))))) % 1.31/1.59 (assume @p76 (forall @t53 (or @t52 @t51 @t70 @t19 @t48))) % 1.31/1.59 (assume @p77 (forall @t41 (or @t19 @t30 @t46 @t58 (tptp.between @t15 @t1 @t4)))) % 1.31/1.59 (assume @p78 (forall @t41 (or @t19 @t30 @t46 @t23 (tptp.between @t6 @t1 @t4)))) % 1.31/1.59 (assume @p79 @t74) % 1.31/1.59 (assume @p80 @t75) % 1.31/1.59 (assume @p81 @t76) % 1.31/1.59 (assume @p82 (not @t77)) % 1.31/1.59 (assume @p83 (not @t78)) % 1.31/1.59 (step @p84 :rule instantiate :premises (@p62) :args ((@list tptp.a tptp.e))) % 1.31/1.59 (step @p85 :rule instantiate :premises (@p47) :args ((@list @t79 tptp.a @t80))) % 1.31/1.59 (step @p86 :rule instantiate :premises (@p4) :args ((@list @t79 tptp.a tptp.a tptp.c))) % 1.31/1.59 (step @p87 :rule cnf_or_pos :args (@t84)) % 1.31/1.59 (step @p88 :rule reordering :premises (@p87) :args ((or @t83 @t81 (not @t84)))) % 1.31/1.59 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p85) :args (@t81 @t85 (@list @t82 @t84))) % 1.31/1.59 (step @p90 :rule instantiate :premises (@p47) :args ((@list @t79 tptp.a @t86))) % 1.31/1.59 (step @p91 :rule instantiate :premises (@p4) :args ((@list @t79 tptp.a tptp.a tptp.d))) % 1.31/1.59 (step @p92 :rule cnf_or_pos :args (@t90)) % 1.31/1.59 (step @p93 :rule reordering :premises (@p92) :args ((or @t89 @t87 (not @t90)))) % 1.31/1.59 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p90) :args (@t87 @t85 (@list @t88 @t90))) % 1.31/1.59 (step @p95 :rule true_intro :premises (@p94)) % 1.31/1.59 (step @p96 :rule refl :args (@t79)) % 1.31/1.59 (step @p97 :rule refl :args (tptp.a)) % 1.31/1.59 (step @p98 :rule instantiate :premises (@p20) :args ((@list tptp.a tptp.e tptp.a tptp.d))) % 1.31/1.59 (step @p99 :rule instantiate :premises (@p74) :args ((@list tptp.a tptp.d tptp.e))) % 1.31/1.59 (step @p100 :rule cnf_or_pos :args (@t93)) % 1.31/1.59 (step @p101 :rule reordering :premises (@p100) :args ((or @t92 @t91 (not @t93)))) % 1.31/1.59 (step @p102 :rule chain_m_resolution :premises (@p101 @p81 @p99) :args (@t91 @t85 (@list @t76 @t93))) % 1.31/1.59 (step @p103 :rule trans :premises (@p102 @p98)) % 1.31/1.59 (step @p104 :rule cong :premises (@p103 @p97 @p96) :args (@t94)) % 1.31/1.59 (step @p105 :rule trans :premises (@p104 @p95)) % 1.31/1.59 (step @p106 :rule true_elim :premises (@p105)) % 1.31/1.59 (step @p107 :rule refl :args (@t61)) % 1.31/1.59 (step @p108 :rule refl :args (@t18)) % 1.31/1.59 (step @p109 :rule eq-symm :args (@t4 @t1)) % 1.31/1.59 (step @p110 :rule refl :args (@t24)) % 1.31/1.59 (step @p111 :rule refl :args (@t59)) % 1.31/1.59 (step @p112 :rule nary_cong :premises (@p111 @p110 @p109 @p108 @p107) :args (@t73)) % 1.31/1.59 (step @p113 :rule cong :premises (@p112) :args (@t74)) % 1.31/1.59 (step @p114 :rule eq_resolve :premises (@p79 @p113)) % 1.31/1.59 (step @p115 :rule refl :args (@t95)) % 1.31/1.59 (step @p116 :rule refl :args (@t96)) % 1.31/1.59 (step @p117 :rule eq-symm :args (@t79 tptp.a)) % 1.31/1.59 (step @p118 :rule refl :args (@t97)) % 1.31/1.59 (step @p119 :rule refl :args (@t98)) % 1.31/1.59 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117 @p116 @p115) :args (@t99)) % 1.31/1.59 (step @p121 :rule refl :args (@t100)) % 1.31/1.59 (step @p122 :rule cong :premises (@p121 @p120) :args ((=> @t100 @t99))) % 1.31/1.59 (assume-push @p158 @t100) % 1.31/1.59 (step @p124 :rule instantiate :premises (@p114) :args ((@list @t80 tptp.a @t79 tptp.d))) % 1.31/1.59 (step-pop @p159 :rule scope :premises (@p124)) % 1.31/1.59 (step @p125 :rule process_scope :premises (@p159) :args (@t99)) % 1.31/1.59 (step @p127 :rule eq_resolve :premises (@p125 @p122)) % 1.31/1.59 (step @p128 :rule implies_elim :premises (@p127)) % 1.31/1.59 (step @p129 :rule chain_m_resolution :premises (@p128 @p114) :args (@t102 (@list false) (@list @t100))) % 1.31/1.59 (step @p130 :rule instantiate :premises (@p47) :args ((@list tptp.d tptp.c tptp.a))) % 1.31/1.59 (step @p131 :rule cnf_or_pos :args (@t104)) % 1.31/1.59 (step @p132 :rule reordering :premises (@p131) :args ((or @t77 @t103 (not @t104)))) % 1.31/1.59 (step @p133 :rule chain_m_resolution :premises (@p132 @p82 @p130) :args (@t103 @t105 (@list @t77 @t104))) % 1.31/1.59 (step @p134 :rule false_intro :premises (@p133)) % 1.31/1.59 (step @p135 :rule instantiate :premises (@p74) :args ((@list tptp.a tptp.c tptp.e))) % 1.31/1.59 (step @p136 :rule cnf_or_pos :args (@t108)) % 1.31/1.59 (step @p137 :rule reordering :premises (@p136) :args ((or @t107 @t106 (not @t108)))) % 1.31/1.59 (step @p138 :rule chain_m_resolution :premises (@p137 @p80 @p135) :args (@t106 @t85 (@list @t75 @t108))) % 1.31/1.59 (step @p139 :rule symm :premises (@p138)) % 1.31/1.59 (step @p140 :rule instantiate :premises (@p20) :args ((@list tptp.a tptp.e tptp.a tptp.c))) % 1.31/1.59 (step @p141 :rule symm :premises (@p140)) % 1.31/1.59 (step @p142 :rule trans :premises (@p141 @p139)) % 1.31/1.59 (step @p143 :rule refl :args (tptp.d)) % 1.31/1.59 (step @p144 :rule cong :premises (@p143 @p142 @p97) :args (@t95)) % 1.31/1.59 (step @p145 :rule trans :premises (@p144 @p134)) % 1.31/1.59 (step @p146 :rule false_elim :premises (@p145)) % 1.31/1.59 (step @p147 :rule instantiate :premises (@p47) :args ((@list tptp.c tptp.d tptp.a))) % 1.31/1.59 (step @p148 :rule cnf_or_pos :args (@t110)) % 1.31/1.59 (step @p149 :rule reordering :premises (@p148) :args ((or @t78 @t109 (not @t110)))) % 1.31/1.59 (step @p150 :rule chain_m_resolution :premises (@p149 @p83 @p147) :args (@t109 @t105 (@list @t78 @t110))) % 1.31/1.59 (step @p151 :rule false_intro :premises (@p150)) % 1.31/1.59 (step @p152 :rule cong :premises (@p142 @p143 @p97) :args (@t96)) % 1.31/1.59 (step @p153 :rule trans :premises (@p152 @p151)) % 1.31/1.59 (step @p154 :rule false_elim :premises (@p153)) % 1.31/1.59 (step @p155 :rule cnf_or_pos :args (@t102)) % 1.31/1.59 (step @p156 :rule reordering :premises (@p155) :args ((or @t101 @t98 @t97 @t96 @t95 (not @t102)))) % 1.31/1.59 (step @p157 false :rule chain_m_resolution :premises (@p156 @p154 @p146 @p129 @p106 @p89 @p84) :args (false (@list true true false false false true) (@list @t96 @t95 @t102 @t94 @t81 @t101))) % 1.31/1.59 ) % 1.31/1.60 % SZS output end Proof % 1.44/1.60 % cvc5 exiting %------------------------------------------------------------------------------