%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO008-3 : 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 : n004.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 28.13s 28.31s % Output : Proof 28.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO008-3 : TPTP v9.2.1. Bugfixed v1.2.1. % 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 : n004.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 23:06:07 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.42/15.65 --- Run --no-e-matching --full-saturate-quant at 6... % 21.43/21.69 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.54/27.72 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.13/28.31 % SZS status Unsatisfiable % 28.13/28.31 % SZS output start Proof % 28.13/28.32 ( % 28.13/28.32 (declare-sort $$unsorted 0) % 28.13/28.32 (declare-const tptp.b $$unsorted) % 28.13/28.32 (declare-const tptp.a $$unsorted) % 28.13/28.32 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 28.13/28.32 (declare-const tptp.c $$unsorted) % 28.13/28.32 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 28.13/28.32 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 28.13/28.32 (declare-const tptp.reflection (-> $$unsorted $$unsorted $$unsorted)) % 28.13/28.32 (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 28.13/28.32 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 28.13/28.32 (declare-const tptp.d $$unsorted) % 28.13/28.32 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 28.13/28.32 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 28.13/28.32 (declare-const tptp.e $$unsorted) % 28.13/28.32 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 28.13/28.32 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 28.13/28.32 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 28.13/28.32 (declare-const tptp.insertion (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 28.13/28.32 (define @t1 () (@var "X" $$unsorted)) % 28.13/28.32 (define @t2 () (@var "Y" $$unsorted)) % 28.13/28.32 (define @t3 () (@list @t1 @t2)) % 28.13/28.32 (define @t4 () (@var "W" $$unsorted)) % 28.13/28.32 (define @t5 () (@var "V2" $$unsorted)) % 28.13/28.32 (define @t6 () (@var "V" $$unsorted)) % 28.13/28.32 (define @t7 () (@var "Z" $$unsorted)) % 28.13/28.32 (define @t8 () (= @t1 @t2)) % 28.13/28.32 (define @t9 () (tptp.extension @t1 @t2 @t4 @t6)) % 28.13/28.32 (define @t10 () (@var "V1" $$unsorted)) % 28.13/28.32 (define @t11 () (@var "Z1" $$unsorted)) % 28.13/28.32 (define @t12 () (@var "Y1" $$unsorted)) % 28.13/28.32 (define @t13 () (@var "X1" $$unsorted)) % 28.13/28.32 (define @t14 () (tptp.between @t1 @t2 @t7)) % 28.13/28.32 (define @t15 () (@var "U" $$unsorted)) % 28.13/28.32 (define @t16 () (tptp.inner_pasch @t15 @t6 @t4 @t1 @t2)) % 28.13/28.32 (define @t17 () (not (tptp.between @t2 @t1 @t4))) % 28.13/28.32 (define @t18 () (tptp.between @t15 @t6 @t4)) % 28.13/28.32 (define @t19 () (not @t18)) % 28.13/28.32 (define @t20 () (@list @t15 @t6 @t4 @t2 @t1)) % 28.13/28.32 (define @t21 () (tptp.euclid1 @t15 @t6 @t4 @t1 @t2)) % 28.13/28.32 (define @t22 () (= @t15 @t4)) % 28.13/28.32 (define @t23 () (tptp.between @t6 @t4 @t1)) % 28.13/28.32 (define @t24 () (not @t23)) % 28.13/28.32 (define @t25 () (not (tptp.between @t15 @t4 @t2))) % 28.13/28.32 (define @t26 () (@list @t15 @t4 @t2 @t6 @t1)) % 28.13/28.32 (define @t27 () (tptp.euclid2 @t15 @t6 @t4 @t1 @t2)) % 28.13/28.32 (define @t28 () (tptp.continuous @t15 @t6 @t10 @t4 @t1 @t13)) % 28.13/28.32 (define @t29 () (tptp.between @t15 @t6 @t1)) % 28.13/28.32 (define @t30 () (not @t29)) % 28.13/28.32 (define @t31 () (not (tptp.equidistant @t15 @t1 @t15 @t13))) % 28.13/28.32 (define @t32 () (not (tptp.equidistant @t15 @t6 @t15 @t10))) % 28.13/28.32 (define @t33 () (@list @t15 @t6 @t10 @t1 @t13 @t4)) % 28.13/28.32 (define @t34 () (tptp.extension @t15 @t6 @t15 @t6)) % 28.13/28.32 (define @t35 () (tptp.reflection @t15 @t6)) % 28.13/28.32 (define @t36 () (@list @t15 @t6)) % 28.13/28.32 (define @t37 () (@var "U1" $$unsorted)) % 28.13/28.32 (define @t38 () (@var "W1" $$unsorted)) % 28.13/28.32 (define @t39 () (tptp.insertion @t37 @t38 @t15 @t6)) % 28.13/28.32 (define @t40 () (not (tptp.equidistant @t15 @t6 @t4 @t1))) % 28.13/28.32 (define @t41 () (@list @t15 @t6 @t4 @t1)) % 28.13/28.32 (define @t42 () (not (tptp.equidistant @t4 @t1 @t2 @t7))) % 28.13/28.32 (define @t43 () (tptp.extension @t15 @t6 @t4 @t1)) % 28.13/28.32 (define @t44 () (@list @t6 @t15)) % 28.13/28.32 (define @t45 () (= @t6 @t35)) % 28.13/28.32 (define @t46 () (= @t15 @t6)) % 28.13/28.32 (define @t47 () (tptp.equidistant @t15 @t4 @t37 @t38)) % 28.13/28.32 (define @t48 () (tptp.between @t37 @t10 @t38)) % 28.13/28.32 (define @t49 () (not @t48)) % 28.13/28.32 (define @t50 () (tptp.equidistant @t6 @t4 @t10 @t38)) % 28.13/28.32 (define @t51 () (not @t50)) % 28.13/28.32 (define @t52 () (not (tptp.equidistant @t15 @t6 @t37 @t10))) % 28.13/28.32 (define @t53 () (@list @t15 @t6 @t37 @t10 @t4 @t38)) % 28.13/28.32 (define @t54 () (= @t4 @t1)) % 28.13/28.32 (define @t55 () (@list @t15 @t6 @t4)) % 28.13/28.32 (define @t56 () (@list @t4 @t1 @t2 @t7 @t15 @t6)) % 28.13/28.32 (define @t57 () (tptp.reflection @t35 @t6)) % 28.13/28.32 (define @t58 () (tptp.between @t15 @t4 @t1)) % 28.13/28.32 (define @t59 () (not @t58)) % 28.13/28.32 (define @t60 () (@list @t15 @t4 @t1 @t6)) % 28.13/28.32 (define @t61 () (forall @t55 (or @t19 (tptp.between @t4 @t6 @t15)))) % 28.13/28.32 (define @t62 () (tptp.between @t6 @t15 @t4)) % 28.13/28.32 (define @t63 () (not @t62)) % 28.13/28.32 (define @t64 () (= @t6 @t4)) % 28.13/28.32 (define @t65 () (tptp.between @t15 @t4 @t6)) % 28.13/28.32 (define @t66 () (not @t65)) % 28.13/28.32 (define @t67 () (@list @t15 @t6 @t1 @t4)) % 28.13/28.32 (define @t68 () (tptp.extension @t15 @t6 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) % 28.13/28.32 (define @t69 () (tptp.inner_pasch @t10 (tptp.inner_pasch @t15 @t1 @t37 @t10 @t4) @t15 @t6 @t4)) % 28.13/28.32 (define @t70 () (tptp.equidistant @t6 @t1 @t10 @t13)) % 28.13/28.32 (define @t71 () (not (tptp.equidistant @t4 @t1 @t38 @t13))) % 28.13/28.32 (define @t72 () (not (tptp.equidistant @t15 @t1 @t37 @t13))) % 28.13/28.32 (define @t73 () (not @t47)) % 28.13/28.32 (define @t74 () (@list @t15 @t6 @t37 @t10 @t4 @t38 @t1 @t13)) % 28.13/28.32 (define @t75 () (@list @t15 @t6 @t4 @t37 @t38)) % 28.13/28.32 (define @t76 () (tptp.between tptp.a tptp.c tptp.e)) % 28.13/28.32 (define @t77 () (tptp.between tptp.a tptp.d tptp.e)) % 28.13/28.32 (define @t78 () (tptp.between tptp.c tptp.b tptp.d)) % 28.13/28.32 (define @t79 () (tptp.between tptp.a tptp.b tptp.e)) % 28.13/28.32 (define @t80 () (tptp.between tptp.e tptp.d tptp.a)) % 28.13/28.32 (define @t81 () (not @t77)) % 28.13/28.32 (define @t82 () (or @t81 @t80)) % 28.13/28.32 (define @t83 () (@list false false)) % 28.13/28.32 (define @t84 () (not @t76)) % 28.13/28.32 (define @t85 () (tptp.between tptp.a tptp.b tptp.c)) % 28.13/28.32 (define @t86 () (not @t85)) % 28.13/28.32 (define @t87 () (or @t86 @t84 @t79)) % 28.13/28.32 (define @t88 () (@list true false false)) % 28.13/28.32 (define @t89 () (tptp.between tptp.c tptp.b tptp.a)) % 28.13/28.32 (define @t90 () (not @t89)) % 28.13/28.32 (define @t91 () (or @t90 @t85)) % 28.13/28.32 (define @t92 () (@list true false)) % 28.13/28.32 (define @t93 () (tptp.between tptp.c tptp.d tptp.a)) % 28.13/28.32 (define @t94 () (not @t93)) % 28.13/28.32 (define @t95 () (not @t78)) % 28.13/28.32 (define @t96 () (or @t95 @t94 @t89)) % 28.13/28.32 (define @t97 () (@list false true false)) % 28.13/28.32 (define @t98 () (not @t80)) % 28.13/28.32 (define @t99 () (tptp.between tptp.e tptp.c tptp.d)) % 28.13/28.32 (define @t100 () (not @t99)) % 28.13/28.32 (define @t101 () (or @t100 @t98 @t93)) % 28.13/28.32 (define @t102 () (tptp.between tptp.e tptp.c tptp.a)) % 28.13/28.32 (define @t103 () (or @t84 @t102)) % 28.13/28.32 (define @t104 () (tptp.between tptp.e tptp.d tptp.c)) % 28.13/28.32 (define @t105 () (not @t102)) % 28.13/28.32 (define @t106 () (or @t105 @t98 @t99 @t104)) % 28.13/28.32 (define @t107 () (tptp.between tptp.c tptp.b tptp.e)) % 28.13/28.32 (define @t108 () (not @t107)) % 28.13/28.32 (define @t109 () (or @t84 @t108 @t79)) % 28.13/28.32 (define @t110 () (tptp.between tptp.c tptp.d tptp.e)) % 28.13/28.32 (define @t111 () (not @t110)) % 28.13/28.32 (define @t112 () (or @t95 @t111 @t107)) % 28.13/28.32 (define @t113 () (not @t104)) % 28.13/28.32 (define @t114 () (or @t113 @t110)) % 28.13/28.32 (define @t115 () (not @t114)) % 28.13/28.32 (assume @p1 (forall @t3 (tptp.equidistant @t1 @t2 @t2 @t1))) % 28.13/28.32 (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)))) % 28.13/28.32 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.equidistant @t1 @t2 @t7 @t7)) @t8))) % 28.13/28.32 (assume @p4 (forall (@list @t1 @t2 @t4 @t6) (tptp.between @t1 @t2 @t9))) % 28.13/28.32 (assume @p5 (forall (@list @t2 @t1 @t4 @t6) (tptp.equidistant @t2 @t9 @t4 @t6))) % 28.13/28.32 (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)))) % 28.13/28.32 (assume @p7 (forall @t3 (or (not (tptp.between @t1 @t2 @t1)) @t8))) % 28.13/28.32 (assume @p8 (forall @t20 (or @t19 @t17 (tptp.between @t6 @t16 @t2)))) % 28.13/28.32 (assume @p9 (forall @t20 (or @t19 @t17 (tptp.between @t1 @t16 @t15)))) % 28.13/28.32 (assume @p10 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 28.13/28.32 (assume @p11 (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) % 28.13/28.32 (assume @p12 (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 28.13/28.32 (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)))) % 28.13/28.32 (assume @p14 (forall @t26 (or @t25 @t24 @t22 (tptp.between @t15 @t6 @t21)))) % 28.13/28.32 (assume @p15 (forall @t26 (or @t25 @t24 @t22 (tptp.between @t15 @t1 @t27)))) % 28.13/28.32 (assume @p16 (forall @t26 (or @t25 @t24 @t22 (tptp.between @t21 @t2 @t27)))) % 28.13/28.32 (assume @p17 (forall @t33 (or @t32 @t31 @t30 @t24 (tptp.between @t10 @t28 @t13)))) % 28.13/28.32 (assume @p18 (forall @t33 (or @t32 @t31 @t30 @t24 (tptp.equidistant @t15 @t4 @t15 @t28)))) % 28.13/28.32 (assume @p19 (forall @t36 (= @t35 @t34))) % 28.13/28.32 (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)))) % 28.13/28.32 (assume @p21 (forall @t36 (tptp.equidistant @t15 @t6 @t15 @t6))) % 28.13/28.32 (assume @p22 (forall @t41 (or @t40 (tptp.equidistant @t4 @t1 @t15 @t6)))) % 28.13/28.32 (assume @p23 (forall @t41 (or @t40 (tptp.equidistant @t6 @t15 @t4 @t1)))) % 28.13/28.32 (assume @p24 (forall @t41 (or @t40 (tptp.equidistant @t15 @t6 @t1 @t4)))) % 28.13/28.32 (assume @p25 (forall @t41 (or @t40 (tptp.equidistant @t6 @t15 @t1 @t4)))) % 28.13/28.32 (assume @p26 (forall @t41 (or @t40 (tptp.equidistant @t4 @t1 @t6 @t15)))) % 28.13/28.32 (assume @p27 (forall @t41 (or @t40 (tptp.equidistant @t1 @t4 @t15 @t6)))) % 28.13/28.32 (assume @p28 (forall @t41 (or @t40 (tptp.equidistant @t1 @t4 @t6 @t15)))) % 28.13/28.32 (assume @p29 (forall (@list @t15 @t6 @t4 @t1 @t2 @t7) (or @t40 @t42 (tptp.equidistant @t15 @t6 @t2 @t7)))) % 28.13/28.32 (assume @p30 (forall (@list @t6 @t15 @t4) (= @t6 (tptp.extension @t15 @t6 @t4 @t4)))) % 28.13/28.32 (assume @p31 (forall (@list @t2 @t15 @t6 @t4 @t1) (or (not (= @t2 @t43)) (tptp.between @t15 @t6 @t2)))) % 28.13/28.32 (assume @p32 (forall @t36 (tptp.between @t15 @t6 @t35))) % 28.13/28.32 (assume @p33 (forall @t44 (tptp.equidistant @t6 @t35 @t15 @t6))) % 28.13/28.32 (assume @p34 (forall @t36 (or (not @t46) @t45))) % 28.13/28.32 (assume @p35 (forall (@list @t15) (= @t15 (tptp.reflection @t15 @t15)))) % 28.13/28.32 (assume @p36 (forall @t44 (or (not @t45) @t46))) % 28.13/28.32 (assume @p37 (forall @t36 (tptp.equidistant @t15 @t15 @t6 @t6))) % 28.13/28.32 (assume @p38 (forall @t53 (or @t52 @t51 @t19 @t49 @t47))) % 28.13/28.32 (assume @p39 (forall @t41 (or @t19 @t30 (not (tptp.equidistant @t6 @t4 @t6 @t1)) @t46 @t54))) % 28.13/28.32 (assume @p40 (forall @t55 (or @t19 @t46 (= @t4 (tptp.extension @t15 @t6 @t6 @t4))))) % 28.13/28.32 (assume @p41 (forall @t56 (or @t42 (= @t43 (tptp.extension @t15 @t6 @t2 @t7)) @t46))) % 28.13/28.32 (assume @p42 (forall @t36 (or (= @t34 (tptp.extension @t15 @t6 @t6 @t15)) @t46))) % 28.13/28.32 (assume @p43 (forall @t44 (tptp.equidistant @t6 @t15 @t6 @t57))) % 28.13/28.32 (assume @p44 (forall @t36 (= @t15 @t57))) % 28.13/28.32 (assume @p45 (forall @t36 (tptp.between @t15 @t6 @t6))) % 28.13/28.32 (assume @p46 (forall @t60 (or @t59 (not (= @t15 @t1)) @t23))) % 28.13/28.32 (assume @p47 @t61) % 28.13/28.32 (assume @p48 (forall @t36 (tptp.between @t15 @t15 @t6))) % 28.13/28.32 (assume @p49 (forall @t55 (or @t19 @t63 @t46))) % 28.13/28.32 (assume @p50 (forall @t55 (or @t19 @t66 @t64))) % 28.13/28.32 (assume @p51 (forall @t55 (or @t19 @t63 @t46 @t64))) % 28.13/28.32 (assume @p52 (forall @t55 (or @t19 @t66 @t46 @t64))) % 28.13/28.32 (assume @p53 (forall @t41 (or @t19 @t24 @t18))) % 28.13/28.32 (assume @p54 (forall @t41 (or @t19 @t59 @t23))) % 28.13/28.32 (assume @p55 (forall @t41 (or @t19 @t24 @t58 @t64))) % 28.13/28.32 (assume @p56 (forall @t41 (or @t19 @t24 @t29 @t64))) % 28.13/28.32 (assume @p57 (forall @t67 (or @t30 @t24 @t58))) % 28.13/28.32 (assume @p58 (forall @t41 (or @t19 @t59 @t29))) % 28.13/28.32 (assume @p59 (not (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 28.13/28.32 (assume @p60 (not (= tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 28.13/28.32 (assume @p61 (not (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_3))) % 28.13/28.32 (assume @p62 (forall @t44 (not (= @t6 @t68)))) % 28.13/28.32 (assume @p63 (forall (@list @t6 @t15 @t1 @t4) (tptp.equidistant @t6 @t68 @t1 (tptp.extension @t4 @t1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)))) % 28.13/28.32 (assume @p64 (forall @t36 (tptp.between @t15 @t6 @t68))) % 28.13/28.32 (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 @t69 @t4) (tptp.between @t6 @t69 @t10)))) % 28.13/28.32 (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)))) % 28.13/28.32 (assume @p67 (forall @t74 (or @t52 @t73 @t72 @t71 @t19 @t49 @t70))) % 28.13/28.32 (assume @p68 (forall (@list @t15 @t6 @t4 @t37 @t10 @t38) (or @t19 @t49 @t52 @t73 @t50))) % 28.13/28.32 (assume @p69 (forall @t74 (or @t52 @t51 @t72 @t71 @t19 @t49 @t70))) % 28.13/28.32 (assume @p70 (forall @t41 (or @t19 (not (tptp.equidistant @t15 @t6 @t15 @t1)) (not (tptp.equidistant @t4 @t6 @t4 @t1)) (= @t6 @t1)))) % 28.13/28.32 (assume @p71 (forall (@list @t15 @t6 @t37 @t38) (tptp.equidistant @t15 @t6 @t37 @t39))) % 28.13/28.32 (assume @p72 (forall @t75 (or @t19 @t73 (tptp.between @t37 @t39 @t38)))) % 28.13/28.32 (assume @p73 (forall @t75 (or @t19 @t73 (tptp.equidistant @t6 @t4 @t39 @t38)))) % 28.13/28.32 (assume @p74 (forall @t55 (or @t19 (= @t6 (tptp.insertion @t15 @t4 @t15 @t6))))) % 28.13/28.32 (assume @p75 (forall @t56 (or @t42 (= (tptp.insertion @t15 @t6 @t4 @t1) (tptp.insertion @t15 @t6 @t2 @t7))))) % 28.13/28.32 (assume @p76 (forall @t53 (or @t52 @t51 @t73 @t19 @t48))) % 28.13/28.32 (assume @p77 (forall @t41 (or @t19 @t30 @t46 @t58 (tptp.between @t15 @t1 @t4)))) % 28.13/28.32 (assume @p78 (forall @t41 (or @t19 @t30 @t46 @t23 (tptp.between @t6 @t1 @t4)))) % 28.13/28.32 (assume @p79 (forall @t60 (or @t59 @t24 @t54 @t18 @t62))) % 28.13/28.32 (assume @p80 (forall @t67 (or @t30 @t59 @t18 @t65))) % 28.13/28.32 (assume @p81 (forall @t67 (or @t30 @t59 @t23 (tptp.between @t4 @t6 @t1)))) % 28.13/28.32 (assume @p82 @t76) % 28.13/28.32 (assume @p83 @t77) % 28.13/28.32 (assume @p84 @t78) % 28.13/28.32 (assume @p85 (not @t79)) % 28.13/28.32 (step @p86 :rule instantiate :premises (@p80) :args ((@list tptp.e tptp.c tptp.a tptp.d))) % 28.13/28.32 (step @p87 :rule instantiate :premises (@p54) :args ((@list tptp.e tptp.c tptp.d tptp.a))) % 28.13/28.32 (step @p88 :rule instantiate :premises (@p47) :args ((@list tptp.a tptp.d tptp.e))) % 28.13/28.32 (step @p89 :rule cnf_or_pos :args (@t82)) % 28.13/28.32 (step @p90 :rule reordering :premises (@p89) :args ((or @t81 @t80 (not @t82)))) % 28.13/28.32 (step @p91 :rule chain_m_resolution :premises (@p90 @p83 @p88) :args (@t80 @t83 (@list @t77 @t82))) % 28.13/28.32 (step @p92 :rule instantiate :premises (@p58) :args ((@list tptp.c tptp.b tptp.d tptp.a))) % 28.13/28.32 (step @p93 :rule instantiate :premises (@p47) :args ((@list tptp.c tptp.b tptp.a))) % 28.13/28.32 (step @p94 :rule instantiate :premises (@p58) :args ((@list tptp.a tptp.b tptp.c tptp.e))) % 28.13/28.32 (step @p95 :rule cnf_or_pos :args (@t87)) % 28.13/28.32 (step @p96 :rule reordering :premises (@p95) :args ((or @t79 @t84 @t86 (not @t87)))) % 28.13/28.32 (step @p97 :rule chain_m_resolution :premises (@p96 @p85 @p82 @p94) :args (@t86 @t88 (@list @t79 @t76 @t87))) % 28.13/28.32 (step @p98 :rule cnf_or_pos :args (@t91)) % 28.13/28.32 (step @p99 :rule reordering :premises (@p98) :args ((or @t85 @t90 (not @t91)))) % 28.13/28.32 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p93) :args (@t90 @t92 (@list @t85 @t91))) % 28.13/28.32 (step @p101 :rule cnf_or_pos :args (@t96)) % 28.13/28.32 (step @p102 :rule reordering :premises (@p101) :args ((or @t95 @t94 @t89 (not @t96)))) % 28.13/28.32 (step @p103 :rule chain_m_resolution :premises (@p102 @p84 @p100 @p92) :args (@t94 @t97 (@list @t78 @t89 @t96))) % 28.13/28.32 (step @p104 :rule cnf_or_pos :args (@t101)) % 28.13/28.32 (step @p105 :rule reordering :premises (@p104) :args ((or @t93 @t98 @t100 (not @t101)))) % 28.13/28.32 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p91 @p87) :args (@t100 @t88 (@list @t93 @t80 @t101))) % 28.13/28.32 (step @p107 :rule instantiate :premises (@p47) :args ((@list tptp.a tptp.c tptp.e))) % 28.13/28.32 (step @p108 :rule cnf_or_pos :args (@t103)) % 28.13/28.32 (step @p109 :rule reordering :premises (@p108) :args ((or @t84 @t102 (not @t103)))) % 28.13/28.32 (step @p110 :rule chain_m_resolution :premises (@p109 @p82 @p107) :args (@t102 @t83 (@list @t76 @t103))) % 28.13/28.32 (step @p111 :rule cnf_or_pos :args (@t106)) % 28.13/28.32 (step @p112 :rule reordering :premises (@p111) :args ((or @t98 @t105 @t99 @t104 (not @t106)))) % 28.13/28.32 (step @p113 :rule chain_m_resolution :premises (@p112 @p91 @p110 @p106 @p86) :args (@t104 (@list false false true false) (@list @t80 @t102 @t99 @t106))) % 28.13/28.32 (step @p114 :rule instantiate :premises (@p58) :args ((@list tptp.c tptp.b tptp.d tptp.e))) % 28.13/28.32 (step @p115 :rule instantiate :premises (@p57) :args ((@list tptp.a tptp.c tptp.e tptp.b))) % 28.13/28.32 (step @p116 :rule cnf_or_pos :args (@t109)) % 28.13/28.32 (step @p117 :rule reordering :premises (@p116) :args ((or @t79 @t84 @t108 (not @t109)))) % 28.13/28.32 (step @p118 :rule chain_m_resolution :premises (@p117 @p85 @p82 @p115) :args (@t108 @t88 (@list @t79 @t76 @t109))) % 28.13/28.32 (step @p119 :rule cnf_or_pos :args (@t112)) % 28.13/28.32 (step @p120 :rule reordering :premises (@p119) :args ((or @t95 @t111 @t107 (not @t112)))) % 28.13/28.32 (step @p121 :rule chain_m_resolution :premises (@p120 @p84 @p118 @p114) :args (@t111 @t97 (@list @t78 @t107 @t112))) % 28.13/28.32 (step @p122 :rule cnf_or_pos :args (@t114)) % 28.13/28.32 (step @p123 :rule reordering :premises (@p122) :args ((or @t110 @t113 @t115))) % 28.13/28.32 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p113) :args (@t115 @t92 (@list @t110 @t104))) % 28.13/28.32 (assume-push @p131 @t61) % 28.13/28.32 (step @p126 :rule instantiate :premises (@p47) :args ((@list tptp.e tptp.d tptp.c))) % 28.13/28.32 (step-pop @p132 :rule scope :premises (@p126)) % 28.13/28.32 (step @p127 :rule process_scope :premises (@p132) :args (@t114)) % 28.13/28.32 (step @p129 :rule implies_elim :premises (@p127)) % 28.13/28.32 (step @p130 false :rule chain_m_resolution :premises (@p129 @p124 @p47) :args (false @t92 (@list @t114 @t61))) % 28.13/28.32 ) % 28.13/28.32 % SZS output end Proof % 28.13/28.32 % cvc5 exiting %------------------------------------------------------------------------------