%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO013-3 : 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 : n028.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 08:16:06 AM UTC 2026 % Result : Unsatisfiable 1.21s 1.44s % Output : Proof 1.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO013-3 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.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 23:07:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.21/1.44 % SZS status Unsatisfiable % 1.21/1.44 % SZS output start Proof % 1.21/1.45 ( % 1.21/1.45 (declare-sort $$unsorted 0) % 1.21/1.45 (declare-const tptp.d1 $$unsorted) % 1.21/1.45 (declare-const tptp.a $$unsorted) % 1.21/1.45 (declare-const tptp.b $$unsorted) % 1.21/1.45 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.21/1.45 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.21/1.45 (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 1.21/1.45 (declare-const tptp.d2 $$unsorted) % 1.21/1.45 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 1.21/1.45 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 1.21/1.45 (declare-const tptp.insertion (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (declare-const tptp.colinear (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.21/1.45 (declare-const tptp.d3 $$unsorted) % 1.21/1.45 (declare-const tptp.reflection (-> $$unsorted $$unsorted $$unsorted)) % 1.21/1.45 (define @t1 () (@var "X" $$unsorted)) % 1.21/1.45 (define @t2 () (@var "Y" $$unsorted)) % 1.21/1.45 (define @t3 () (@list @t1 @t2)) % 1.21/1.45 (define @t4 () (@var "W" $$unsorted)) % 1.21/1.45 (define @t5 () (@var "V2" $$unsorted)) % 1.21/1.45 (define @t6 () (@var "V" $$unsorted)) % 1.21/1.45 (define @t7 () (@var "Z" $$unsorted)) % 1.21/1.45 (define @t8 () (= @t1 @t2)) % 1.21/1.45 (define @t9 () (@list @t1 @t2 @t7)) % 1.21/1.45 (define @t10 () (tptp.extension @t1 @t2 @t4 @t6)) % 1.21/1.45 (define @t11 () (@var "V1" $$unsorted)) % 1.21/1.45 (define @t12 () (@var "Z1" $$unsorted)) % 1.21/1.45 (define @t13 () (@var "Y1" $$unsorted)) % 1.21/1.45 (define @t14 () (@var "X1" $$unsorted)) % 1.21/1.45 (define @t15 () (tptp.between @t1 @t2 @t7)) % 1.21/1.45 (define @t16 () (not @t15)) % 1.21/1.45 (define @t17 () (@var "U" $$unsorted)) % 1.21/1.45 (define @t18 () (tptp.inner_pasch @t17 @t6 @t4 @t1 @t2)) % 1.21/1.45 (define @t19 () (not (tptp.between @t2 @t1 @t4))) % 1.21/1.45 (define @t20 () (tptp.between @t17 @t6 @t4)) % 1.21/1.45 (define @t21 () (not @t20)) % 1.21/1.45 (define @t22 () (@list @t17 @t6 @t4 @t2 @t1)) % 1.21/1.45 (define @t23 () (tptp.between @t7 @t1 @t2)) % 1.21/1.45 (define @t24 () (tptp.between @t2 @t7 @t1)) % 1.21/1.45 (define @t25 () (tptp.euclid1 @t17 @t6 @t4 @t1 @t2)) % 1.21/1.45 (define @t26 () (= @t17 @t4)) % 1.21/1.45 (define @t27 () (tptp.between @t6 @t4 @t1)) % 1.21/1.45 (define @t28 () (not @t27)) % 1.21/1.45 (define @t29 () (tptp.between @t17 @t4 @t2)) % 1.21/1.45 (define @t30 () (not @t29)) % 1.21/1.45 (define @t31 () (@list @t17 @t4 @t2 @t6 @t1)) % 1.21/1.45 (define @t32 () (tptp.euclid2 @t17 @t6 @t4 @t1 @t2)) % 1.21/1.45 (define @t33 () (tptp.continuous @t17 @t6 @t11 @t4 @t1 @t14)) % 1.21/1.45 (define @t34 () (tptp.between @t17 @t6 @t1)) % 1.21/1.45 (define @t35 () (not @t34)) % 1.21/1.45 (define @t36 () (not (tptp.equidistant @t17 @t1 @t17 @t14))) % 1.21/1.45 (define @t37 () (not (tptp.equidistant @t17 @t6 @t17 @t11))) % 1.21/1.45 (define @t38 () (@list @t17 @t6 @t11 @t1 @t14 @t4)) % 1.21/1.45 (define @t39 () (tptp.colinear @t1 @t2 @t7)) % 1.21/1.45 (define @t40 () (tptp.extension @t17 @t6 @t17 @t6)) % 1.21/1.45 (define @t41 () (tptp.reflection @t17 @t6)) % 1.21/1.45 (define @t42 () (@list @t17 @t6)) % 1.21/1.45 (define @t43 () (@var "U1" $$unsorted)) % 1.21/1.45 (define @t44 () (@var "W1" $$unsorted)) % 1.21/1.45 (define @t45 () (tptp.insertion @t43 @t44 @t17 @t6)) % 1.21/1.45 (define @t46 () (not (tptp.equidistant @t17 @t6 @t4 @t1))) % 1.21/1.45 (define @t47 () (@list @t17 @t6 @t4 @t1)) % 1.21/1.45 (define @t48 () (not (tptp.equidistant @t4 @t1 @t2 @t7))) % 1.21/1.45 (define @t49 () (@list @t6 @t17 @t4)) % 1.21/1.45 (define @t50 () (tptp.between @t17 @t6 @t2)) % 1.21/1.45 (define @t51 () (tptp.extension @t17 @t6 @t4 @t1)) % 1.21/1.45 (define @t52 () (@list @t6 @t17)) % 1.21/1.45 (define @t53 () (= @t6 @t41)) % 1.21/1.45 (define @t54 () (= @t17 @t6)) % 1.21/1.45 (define @t55 () (tptp.equidistant @t17 @t4 @t43 @t44)) % 1.21/1.45 (define @t56 () (tptp.between @t43 @t11 @t44)) % 1.21/1.45 (define @t57 () (not @t56)) % 1.21/1.45 (define @t58 () (tptp.equidistant @t6 @t4 @t11 @t44)) % 1.21/1.45 (define @t59 () (not @t58)) % 1.21/1.45 (define @t60 () (not (tptp.equidistant @t17 @t6 @t43 @t11))) % 1.21/1.45 (define @t61 () (@list @t17 @t6 @t43 @t11 @t4 @t44)) % 1.21/1.45 (define @t62 () (= @t4 @t1)) % 1.21/1.45 (define @t63 () (@list @t17 @t6 @t4)) % 1.21/1.45 (define @t64 () (@list @t4 @t1 @t2 @t7 @t17 @t6)) % 1.21/1.45 (define @t65 () (tptp.reflection @t41 @t6)) % 1.21/1.45 (define @t66 () (tptp.between @t17 @t4 @t1)) % 1.21/1.45 (define @t67 () (not @t66)) % 1.21/1.45 (define @t68 () (@list @t17 @t4 @t1 @t6)) % 1.21/1.45 (define @t69 () (tptp.between @t4 @t6 @t17)) % 1.21/1.45 (define @t70 () (tptp.between @t6 @t17 @t4)) % 1.21/1.45 (define @t71 () (not @t70)) % 1.21/1.45 (define @t72 () (= @t6 @t4)) % 1.21/1.45 (define @t73 () (tptp.between @t17 @t4 @t6)) % 1.21/1.45 (define @t74 () (not @t73)) % 1.21/1.45 (define @t75 () (@list @t17 @t6 @t1 @t4)) % 1.21/1.45 (define @t76 () (tptp.extension @t17 @t6 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) % 1.21/1.45 (define @t77 () (tptp.inner_pasch @t11 (tptp.inner_pasch @t17 @t1 @t43 @t11 @t4) @t17 @t6 @t4)) % 1.21/1.45 (define @t78 () (tptp.equidistant @t6 @t1 @t11 @t14)) % 1.21/1.45 (define @t79 () (not (tptp.equidistant @t4 @t1 @t44 @t14))) % 1.21/1.45 (define @t80 () (not (tptp.equidistant @t17 @t1 @t43 @t14))) % 1.21/1.45 (define @t81 () (not @t55)) % 1.21/1.45 (define @t82 () (@list @t17 @t6 @t43 @t11 @t4 @t44 @t1 @t14)) % 1.21/1.45 (define @t83 () (@list @t17 @t6 @t4 @t43 @t44)) % 1.21/1.45 (define @t84 () (tptp.colinear @t17 @t6 @t4)) % 1.21/1.45 (define @t85 () (tptp.colinear @t4 @t6 @t17)) % 1.21/1.45 (define @t86 () (not @t84)) % 1.21/1.45 (define @t87 () (tptp.colinear @t17 @t4 @t1)) % 1.21/1.45 (define @t88 () (not (tptp.colinear @t17 @t6 @t1))) % 1.21/1.45 (define @t89 () (or @t86 @t88 @t87 @t54)) % 1.21/1.45 (define @t90 () (forall @t47 @t89)) % 1.21/1.45 (define @t91 () (tptp.colinear @t6 @t4 @t1)) % 1.21/1.45 (define @t92 () (or @t86 @t88 @t91 @t54)) % 1.21/1.45 (define @t93 () (forall @t47 @t92)) % 1.21/1.45 (define @t94 () (not (tptp.colinear @t1 @t6 @t17))) % 1.21/1.45 (define @t95 () (not @t85)) % 1.21/1.45 (define @t96 () (@list @t4 @t6 @t17 @t1)) % 1.21/1.45 (define @t97 () (= tptp.a tptp.b)) % 1.21/1.45 (define @t98 () (tptp.colinear tptp.a tptp.b tptp.d1)) % 1.21/1.45 (define @t99 () (tptp.colinear tptp.a tptp.b tptp.d2)) % 1.21/1.45 (define @t100 () (tptp.colinear tptp.a tptp.b tptp.d3)) % 1.21/1.45 (define @t101 () (tptp.colinear tptp.d1 tptp.d2 tptp.d3)) % 1.21/1.45 (define @t102 () (= tptp.b tptp.a)) % 1.21/1.45 (define @t103 () (tptp.colinear tptp.b tptp.d1 tptp.d3)) % 1.21/1.45 (define @t104 () (not @t100)) % 1.21/1.45 (define @t105 () (not @t98)) % 1.21/1.45 (define @t106 () (or @t105 @t104 @t103 @t102)) % 1.21/1.45 (define @t107 () (@list true false false false)) % 1.21/1.45 (define @t108 () (tptp.colinear tptp.b tptp.d1 tptp.d2)) % 1.21/1.45 (define @t109 () (not @t99)) % 1.21/1.45 (define @t110 () (or @t105 @t109 @t108 @t102)) % 1.21/1.45 (define @t111 () (tptp.colinear tptp.b tptp.d3 tptp.d2)) % 1.21/1.45 (define @t112 () (tptp.colinear tptp.b tptp.a tptp.d2)) % 1.21/1.45 (define @t113 () (not @t112)) % 1.21/1.45 (define @t114 () (tptp.colinear tptp.b tptp.a tptp.d3)) % 1.21/1.45 (define @t115 () (not @t114)) % 1.21/1.45 (define @t116 () (or @t115 @t113 @t111 @t97)) % 1.21/1.45 (define @t117 () (= @t6 @t17)) % 1.21/1.45 (define @t118 () (forall @t47 (or @t86 @t88 @t87 @t117))) % 1.21/1.45 (define @t119 () (or @t115 @t113 @t111 @t102)) % 1.21/1.45 (define @t120 () (or @t104 @t114)) % 1.21/1.45 (define @t121 () (@list false false)) % 1.21/1.45 (define @t122 () (or @t109 @t112)) % 1.21/1.45 (define @t123 () (tptp.colinear tptp.d1 tptp.d3 tptp.d2)) % 1.21/1.45 (define @t124 () (not @t123)) % 1.21/1.45 (define @t125 () (or @t124 @t101)) % 1.21/1.45 (define @t126 () (@list true false)) % 1.21/1.45 (define @t127 () (not @t111)) % 1.21/1.45 (define @t128 () (= tptp.b tptp.d1)) % 1.21/1.45 (define @t129 () (not @t128)) % 1.21/1.45 (define @t130 () (and @t111 @t128 @t124)) % 1.21/1.45 (define @t131 () (not @t103)) % 1.21/1.45 (define @t132 () (not @t108)) % 1.21/1.45 (define @t133 () (or @t132 @t131 @t101 @t128)) % 1.21/1.45 (define @t134 () (not @t133)) % 1.21/1.45 (define @t135 () (or @t132 @t131 @t101 (= tptp.d1 tptp.b))) % 1.21/1.45 (define @t136 () (forall @t47 (or @t86 @t88 @t91 @t117))) % 1.21/1.45 (assume @p1 (forall @t3 (tptp.equidistant @t1 @t2 @t2 @t1))) % 1.21/1.45 (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)))) % 1.21/1.45 (assume @p3 (forall @t9 (or (not (tptp.equidistant @t1 @t2 @t7 @t7)) @t8))) % 1.21/1.45 (assume @p4 (forall (@list @t1 @t2 @t4 @t6) (tptp.between @t1 @t2 @t10))) % 1.21/1.45 (assume @p5 (forall (@list @t2 @t1 @t4 @t6) (tptp.equidistant @t2 @t10 @t4 @t6))) % 1.21/1.45 (assume @p6 (forall (@list @t1 @t2 @t14 @t13 @t7 @t12 @t6 @t11) (or (not (tptp.equidistant @t1 @t2 @t14 @t13)) (not (tptp.equidistant @t2 @t7 @t13 @t12)) (not (tptp.equidistant @t1 @t6 @t14 @t11)) (not (tptp.equidistant @t2 @t6 @t13 @t11)) @t16 (not (tptp.between @t14 @t13 @t12)) @t8 (tptp.equidistant @t7 @t6 @t12 @t11)))) % 1.21/1.45 (assume @p7 (forall @t3 (or (not (tptp.between @t1 @t2 @t1)) @t8))) % 1.21/1.45 (assume @p8 (forall @t22 (or @t21 @t19 (tptp.between @t6 @t18 @t2)))) % 1.21/1.45 (assume @p9 (forall @t22 (or @t21 @t19 (tptp.between @t1 @t18 @t17)))) % 1.21/1.45 (assume @p10 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 1.21/1.45 (assume @p11 (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) % 1.21/1.45 (assume @p12 (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 1.21/1.45 (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)) @t15 @t24 @t23 (= @t4 @t6)))) % 1.21/1.45 (assume @p14 (forall @t31 (or @t30 @t28 @t26 (tptp.between @t17 @t6 @t25)))) % 1.21/1.45 (assume @p15 (forall @t31 (or @t30 @t28 @t26 (tptp.between @t17 @t1 @t32)))) % 1.21/1.45 (assume @p16 (forall @t31 (or @t30 @t28 @t26 (tptp.between @t25 @t2 @t32)))) % 1.21/1.45 (assume @p17 (forall @t38 (or @t37 @t36 @t35 @t28 (tptp.between @t11 @t33 @t14)))) % 1.21/1.45 (assume @p18 (forall @t38 (or @t37 @t36 @t35 @t28 (tptp.equidistant @t17 @t4 @t17 @t33)))) % 1.21/1.45 (assume @p19 (forall @t9 (or @t16 @t39))) % 1.21/1.45 (assume @p20 (forall (@list @t2 @t7 @t1) (or (not @t24) @t39))) % 1.21/1.45 (assume @p21 (forall (@list @t7 @t1 @t2) (or (not @t23) @t39))) % 1.21/1.45 (assume @p22 (forall @t9 (or (not @t39) @t15 @t24 @t23))) % 1.21/1.45 (assume @p23 (forall @t42 (= @t41 @t40))) % 1.21/1.45 (assume @p24 (forall (@list @t43 @t44 @t17 @t6) (= @t45 (tptp.extension (tptp.extension @t44 @t43 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2) @t43 @t17 @t6)))) % 1.21/1.45 (assume @p25 (forall @t42 (tptp.equidistant @t17 @t6 @t17 @t6))) % 1.21/1.45 (assume @p26 (forall @t47 (or @t46 (tptp.equidistant @t4 @t1 @t17 @t6)))) % 1.21/1.45 (assume @p27 (forall @t47 (or @t46 (tptp.equidistant @t6 @t17 @t4 @t1)))) % 1.21/1.45 (assume @p28 (forall @t47 (or @t46 (tptp.equidistant @t17 @t6 @t1 @t4)))) % 1.21/1.45 (assume @p29 (forall @t47 (or @t46 (tptp.equidistant @t6 @t17 @t1 @t4)))) % 1.21/1.45 (assume @p30 (forall @t47 (or @t46 (tptp.equidistant @t4 @t1 @t6 @t17)))) % 1.21/1.45 (assume @p31 (forall @t47 (or @t46 (tptp.equidistant @t1 @t4 @t17 @t6)))) % 1.21/1.45 (assume @p32 (forall @t47 (or @t46 (tptp.equidistant @t1 @t4 @t6 @t17)))) % 1.21/1.45 (assume @p33 (forall (@list @t17 @t6 @t4 @t1 @t2 @t7) (or @t46 @t48 (tptp.equidistant @t17 @t6 @t2 @t7)))) % 1.21/1.45 (assume @p34 (forall @t49 (= @t6 (tptp.extension @t17 @t6 @t4 @t4)))) % 1.21/1.45 (assume @p35 (forall (@list @t2 @t17 @t6 @t4 @t1) (or (not (= @t2 @t51)) @t50))) % 1.21/1.45 (assume @p36 (forall @t42 (tptp.between @t17 @t6 @t41))) % 1.21/1.45 (assume @p37 (forall @t52 (tptp.equidistant @t6 @t41 @t17 @t6))) % 1.21/1.45 (assume @p38 (forall @t42 (or (not @t54) @t53))) % 1.21/1.45 (assume @p39 (forall (@list @t17) (= @t17 (tptp.reflection @t17 @t17)))) % 1.21/1.45 (assume @p40 (forall @t52 (or (not @t53) @t54))) % 1.21/1.45 (assume @p41 (forall @t42 (tptp.equidistant @t17 @t17 @t6 @t6))) % 1.21/1.45 (assume @p42 (forall @t61 (or @t60 @t59 @t21 @t57 @t55))) % 1.21/1.45 (assume @p43 (forall @t47 (or @t21 @t35 (not (tptp.equidistant @t6 @t4 @t6 @t1)) @t54 @t62))) % 1.21/1.45 (assume @p44 (forall @t63 (or @t21 @t54 (= @t4 (tptp.extension @t17 @t6 @t6 @t4))))) % 1.21/1.45 (assume @p45 (forall @t64 (or @t48 (= @t51 (tptp.extension @t17 @t6 @t2 @t7)) @t54))) % 1.21/1.45 (assume @p46 (forall @t42 (or (= @t40 (tptp.extension @t17 @t6 @t6 @t17)) @t54))) % 1.21/1.45 (assume @p47 (forall @t52 (tptp.equidistant @t6 @t17 @t6 @t65))) % 1.21/1.45 (assume @p48 (forall @t42 (= @t17 @t65))) % 1.21/1.45 (assume @p49 (forall @t42 (tptp.between @t17 @t6 @t6))) % 1.21/1.45 (assume @p50 (forall @t68 (or @t67 (not (= @t17 @t1)) @t27))) % 1.21/1.45 (assume @p51 (forall @t63 (or @t21 @t69))) % 1.21/1.45 (assume @p52 (forall @t42 (tptp.between @t17 @t17 @t6))) % 1.21/1.45 (assume @p53 (forall @t63 (or @t21 @t71 @t54))) % 1.21/1.45 (assume @p54 (forall @t63 (or @t21 @t74 @t72))) % 1.21/1.45 (assume @p55 (forall @t63 (or @t21 @t71 @t54 @t72))) % 1.21/1.45 (assume @p56 (forall @t63 (or @t21 @t74 @t54 @t72))) % 1.21/1.45 (assume @p57 (forall @t47 (or @t21 @t28 @t20))) % 1.21/1.45 (assume @p58 (forall @t47 (or @t21 @t67 @t27))) % 1.21/1.45 (assume @p59 (forall @t47 (or @t21 @t28 @t66 @t72))) % 1.21/1.45 (assume @p60 (forall @t47 (or @t21 @t28 @t34 @t72))) % 1.21/1.45 (assume @p61 (forall @t75 (or @t35 @t28 @t66))) % 1.21/1.45 (assume @p62 (forall @t47 (or @t21 @t67 @t34))) % 1.21/1.45 (assume @p63 (not (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 1.21/1.45 (assume @p64 (not (= tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 1.21/1.45 (assume @p65 (not (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_3))) % 1.21/1.45 (assume @p66 (forall @t52 (not (= @t6 @t76)))) % 1.21/1.45 (assume @p67 (forall (@list @t6 @t17 @t1 @t4) (tptp.equidistant @t6 @t76 @t1 (tptp.extension @t4 @t1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)))) % 1.21/1.45 (assume @p68 (forall @t42 (tptp.between @t17 @t6 @t76))) % 1.21/1.45 (assume @p69 (forall (@list @t17 @t6 @t4 @t43 @t11 @t1) (or @t21 (not (tptp.between @t43 @t11 @t4)) (not (tptp.between @t17 @t1 @t43)) (tptp.between @t1 @t77 @t4) (tptp.between @t6 @t77 @t11)))) % 1.21/1.45 (assume @p70 (forall (@list @t17 @t6 @t4 @t44) (or @t21 (not (tptp.equidistant @t17 @t4 @t17 @t44)) (not (tptp.equidistant @t6 @t4 @t6 @t44)) @t54 (= @t4 @t44)))) % 1.21/1.45 (assume @p71 (forall @t82 (or @t60 @t81 @t80 @t79 @t21 @t57 @t78))) % 1.21/1.45 (assume @p72 (forall (@list @t17 @t6 @t4 @t43 @t11 @t44) (or @t21 @t57 @t60 @t81 @t58))) % 1.21/1.45 (assume @p73 (forall @t82 (or @t60 @t59 @t80 @t79 @t21 @t57 @t78))) % 1.21/1.45 (assume @p74 (forall @t47 (or @t21 (not (tptp.equidistant @t17 @t6 @t17 @t1)) (not (tptp.equidistant @t4 @t6 @t4 @t1)) (= @t6 @t1)))) % 1.21/1.45 (assume @p75 (forall (@list @t17 @t6 @t43 @t44) (tptp.equidistant @t17 @t6 @t43 @t45))) % 1.21/1.45 (assume @p76 (forall @t83 (or @t21 @t81 (tptp.between @t43 @t45 @t44)))) % 1.21/1.45 (assume @p77 (forall @t83 (or @t21 @t81 (tptp.equidistant @t6 @t4 @t45 @t44)))) % 1.21/1.45 (assume @p78 (forall @t63 (or @t21 (= @t6 (tptp.insertion @t17 @t4 @t17 @t6))))) % 1.21/1.45 (assume @p79 (forall @t64 (or @t48 (= (tptp.insertion @t17 @t6 @t4 @t1) (tptp.insertion @t17 @t6 @t2 @t7))))) % 1.21/1.45 (assume @p80 (forall @t61 (or @t60 @t59 @t81 @t21 @t56))) % 1.21/1.45 (assume @p81 (forall @t47 (or @t21 @t35 @t54 @t66 (tptp.between @t17 @t1 @t4)))) % 1.21/1.45 (assume @p82 (forall @t47 (or @t21 @t35 @t54 @t27 (tptp.between @t6 @t1 @t4)))) % 1.21/1.45 (assume @p83 (forall @t68 (or @t67 @t28 @t62 @t20 @t70))) % 1.21/1.45 (assume @p84 (forall @t75 (or @t35 @t67 @t20 @t73))) % 1.21/1.45 (assume @p85 (forall @t75 (or @t35 @t67 @t27 (tptp.between @t4 @t6 @t1)))) % 1.21/1.45 (assume @p86 (forall (@list @t17 @t6 @t2 @t4 @t1) (or (not @t50) @t28 (not (tptp.between @t17 @t1 @t2)) @t29))) % 1.21/1.45 (assume @p87 (forall @t63 (or @t21 (not (tptp.equidistant @t17 @t6 @t17 @t4)) @t72))) % 1.21/1.45 (assume @p88 (forall (@list @t4 @t6 @t17) (or (not @t69) @t84))) % 1.21/1.45 (assume @p89 (forall (@list @t17 @t4 @t6) (or @t74 @t84))) % 1.21/1.45 (assume @p90 (forall @t49 (or @t71 @t84))) % 1.21/1.45 (assume @p91 (forall @t63 (or @t86 @t85))) % 1.21/1.45 (assume @p92 (forall @t63 (or @t86 (tptp.colinear @t6 @t4 @t17)))) % 1.21/1.45 (assume @p93 (forall @t63 (or @t86 (tptp.colinear @t17 @t4 @t6)))) % 1.21/1.45 (assume @p94 (forall @t63 (or @t86 (tptp.colinear @t4 @t17 @t6)))) % 1.21/1.45 (assume @p95 (forall @t63 (or @t86 (tptp.colinear @t6 @t17 @t4)))) % 1.21/1.45 (assume @p96 (not (tptp.colinear tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 1.21/1.45 (assume @p97 (forall @t3 (tptp.colinear @t1 @t1 @t2))) % 1.21/1.45 (assume @p98 (forall @t3 (tptp.colinear @t1 @t2 @t1))) % 1.21/1.45 (assume @p99 (forall (@list @t2 @t1) (tptp.colinear @t2 @t1 @t1))) % 1.21/1.45 (assume @p100 (forall @t9 (or (not @t8) (tptp.colinear @t1 @t7 @t2)))) % 1.21/1.45 (assume @p101 (forall @t61 (or @t60 @t59 @t81 @t86 (tptp.colinear @t43 @t11 @t44)))) % 1.21/1.45 (assume @p102 @t90) % 1.21/1.45 (assume @p103 @t93) % 1.21/1.45 (assume @p104 (forall @t96 (or @t95 @t94 (tptp.colinear @t1 @t4 @t17) @t54))) % 1.21/1.45 (assume @p105 (forall @t96 (or @t95 @t94 (tptp.colinear @t1 @t4 @t6) @t54))) % 1.21/1.45 (assume @p106 (not @t97)) % 1.21/1.45 (assume @p107 @t98) % 1.21/1.45 (assume @p108 @t99) % 1.21/1.45 (assume @p109 @t100) % 1.21/1.45 (assume @p110 (not @t101)) % 1.21/1.45 (step @p111 :rule eq-symm :args (@t17 @t6)) % 1.21/1.45 (step @p112 :rule refl :args (@t91)) % 1.21/1.45 (step @p113 :rule refl :args (@t88)) % 1.21/1.45 (step @p114 :rule refl :args (@t86)) % 1.21/1.45 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112 @p111) :args (@t92)) % 1.21/1.45 (step @p116 :rule cong :premises (@p115) :args (@t93)) % 1.21/1.45 (step @p117 :rule eq_resolve :premises (@p103 @p116)) % 1.21/1.45 (step @p118 :rule instantiate :premises (@p117) :args ((@list tptp.a tptp.b tptp.d1 tptp.d3))) % 1.21/1.45 (step @p119 :rule symm :premises (@p106)) % 1.21/1.45 (step @p120 :rule cnf_or_pos :args (@t106)) % 1.21/1.45 (step @p121 :rule reordering :premises (@p120) :args ((or @t102 @t105 @t104 @t103 (not @t106)))) % 1.21/1.45 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p107 @p109 @p118) :args (@t103 @t107 (@list @t102 @t98 @t100 @t106))) % 1.21/1.45 (step @p123 :rule instantiate :premises (@p117) :args ((@list tptp.a tptp.b tptp.d1 tptp.d2))) % 1.21/1.45 (step @p124 :rule cnf_or_pos :args (@t110)) % 1.21/1.45 (step @p125 :rule reordering :premises (@p124) :args ((or @t102 @t105 @t109 @t108 (not @t110)))) % 1.21/1.45 (step @p126 :rule chain_m_resolution :premises (@p125 @p119 @p107 @p108 @p123) :args (@t108 @t107 (@list @t102 @t98 @t99 @t110))) % 1.21/1.45 (step @p127 :rule refl :args (@t87)) % 1.21/1.45 (step @p128 :rule nary_cong :premises (@p114 @p113 @p127 @p111) :args (@t89)) % 1.21/1.45 (step @p129 :rule cong :premises (@p128) :args (@t90)) % 1.21/1.45 (step @p130 :rule eq_resolve :premises (@p102 @p129)) % 1.21/1.45 (step @p131 :rule eq-symm :args (tptp.a tptp.b)) % 1.21/1.45 (step @p132 :rule refl :args (@t111)) % 1.21/1.45 (step @p133 :rule refl :args (@t113)) % 1.21/1.45 (step @p134 :rule refl :args (@t115)) % 1.21/1.45 (step @p135 :rule nary_cong :premises (@p134 @p133 @p132 @p131) :args (@t116)) % 1.21/1.45 (step @p136 :rule refl :args (@t118)) % 1.21/1.45 (step @p137 :rule cong :premises (@p136 @p135) :args ((=> @t118 @t116))) % 1.21/1.45 (assume-push @p211 @t118) % 1.21/1.45 (step @p139 :rule instantiate :premises (@p130) :args ((@list tptp.b tptp.a tptp.d3 tptp.d2))) % 1.21/1.45 (step-pop @p212 :rule scope :premises (@p139)) % 1.21/1.45 (step @p140 :rule process_scope :premises (@p212) :args (@t116)) % 1.21/1.45 (step @p142 :rule eq_resolve :premises (@p140 @p137)) % 1.21/1.45 (step @p143 :rule implies_elim :premises (@p142)) % 1.21/1.45 (step @p144 :rule chain_m_resolution :premises (@p143 @p130) :args (@t119 (@list false) (@list @t118))) % 1.21/1.45 (step @p145 :rule instantiate :premises (@p95) :args ((@list tptp.a tptp.b tptp.d3))) % 1.21/1.45 (step @p146 :rule cnf_or_pos :args (@t120)) % 1.21/1.45 (step @p147 :rule reordering :premises (@p146) :args ((or @t104 @t114 (not @t120)))) % 1.21/1.45 (step @p148 :rule chain_m_resolution :premises (@p147 @p109 @p145) :args (@t114 @t121 (@list @t100 @t120))) % 1.21/1.45 (step @p149 :rule instantiate :premises (@p95) :args ((@list tptp.a tptp.b tptp.d2))) % 1.21/1.45 (step @p150 :rule cnf_or_pos :args (@t122)) % 1.21/1.45 (step @p151 :rule reordering :premises (@p150) :args ((or @t109 @t112 (not @t122)))) % 1.21/1.45 (step @p152 :rule chain_m_resolution :premises (@p151 @p108 @p149) :args (@t112 @t121 (@list @t99 @t122))) % 1.21/1.45 (step @p153 :rule cnf_or_pos :args (@t119)) % 1.21/1.45 (step @p154 :rule reordering :premises (@p153) :args ((or @t102 @t113 @t115 @t111 (not @t119)))) % 1.21/1.45 (step @p155 :rule chain_m_resolution :premises (@p154 @p119 @p152 @p148 @p144) :args (@t111 @t107 (@list @t102 @t112 @t114 @t119))) % 1.21/1.45 (step @p156 :rule instantiate :premises (@p93) :args ((@list tptp.d1 tptp.d3 tptp.d2))) % 1.21/1.45 (step @p157 :rule cnf_or_pos :args (@t125)) % 1.21/1.45 (step @p158 :rule reordering :premises (@p157) :args ((or @t101 @t124 (not @t125)))) % 1.21/1.45 (step @p159 :rule chain_m_resolution :premises (@p158 @p110 @p156) :args (@t124 @t126 (@list @t101 @t125))) % 1.21/1.45 (step @p160 :rule refl :args (@t127)) % 1.21/1.45 (step @p161 :rule refl :args (@t129)) % 1.21/1.45 (step @p162 :rule bool-double-not-elim :args (@t123)) % 1.21/1.45 (step @p163 :rule nary_cong :premises (@p162 @p161 @p160) :args ((or (not @t124) @t129 @t127))) % 1.21/1.45 (assume-push @p213 @t111) % 1.21/1.45 (assume-push @p214 @t128) % 1.21/1.45 (assume-push @p215 @t124) % 1.21/1.45 (step @p167 :rule evaluate :args ((= false true))) % 1.21/1.45 (step @p168 :rule true_intro :premises (@p155)) % 1.21/1.45 (step @p169 :rule refl :args (tptp.d2)) % 1.21/1.45 (step @p170 :rule refl :args (tptp.d3)) % 1.21/1.45 (step @p171 :rule symm :premises (@p214)) % 1.21/1.45 (step @p172 :rule cong :premises (@p171 @p170 @p169) :args (@t123)) % 1.21/1.45 (step @p173 :rule false_intro :premises (@p159)) % 1.21/1.45 (step @p174 :rule symm :premises (@p173)) % 1.21/1.45 (step @p175 :rule trans :premises (@p174 @p172 @p168)) % 1.21/1.45 (step @p176 false :rule eq_resolve :premises (@p175 @p167)) % 1.21/1.45 (step-pop @p216 :rule scope :premises (@p176)) % 1.21/1.45 (step-pop @p217 :rule scope :premises (@p216)) % 1.21/1.45 (step-pop @p218 :rule scope :premises (@p217)) % 1.21/1.45 (step @p177 :rule process_scope :premises (@p218) :args (false)) % 1.21/1.45 (assume-push @p219 @t124) % 1.21/1.45 (assume-push @p220 @t128) % 1.21/1.45 (assume-push @p221 @t111) % 1.21/1.45 (step @p184 :rule and_intro :premises (@p155 @p220 @p159)) % 1.21/1.45 (step-pop @p222 :rule scope :premises (@p184)) % 1.21/1.45 (step-pop @p223 :rule scope :premises (@p222)) % 1.21/1.45 (step-pop @p224 :rule scope :premises (@p223)) % 1.21/1.45 (step @p185 :rule process_scope :premises (@p224) :args (@t130)) % 1.21/1.45 (step @p189 :rule implies_elim :premises (@p185)) % 1.21/1.45 (step @p190 :rule resolution :premises (@p189 @p177) :args (true @t130)) % 1.21/1.45 (step @p191 :rule not_and :premises (@p190)) % 1.21/1.45 (step @p192 :rule eq_resolve :premises (@p191 @p163)) % 1.21/1.45 (step @p193 :rule chain_m_resolution :premises (@p192 @p159 @p155) :args (@t129 @t126 (@list @t123 @t111))) % 1.21/1.45 (step @p194 :rule cnf_or_pos :args (@t133)) % 1.21/1.45 (step @p195 :rule reordering :premises (@p194) :args ((or @t101 @t128 @t132 @t131 @t134))) % 1.21/1.45 (step @p196 :rule chain_m_resolution :premises (@p195 @p110 @p193 @p126 @p122) :args (@t134 (@list true true false false) (@list @t101 @t128 @t108 @t103))) % 1.21/1.45 (step @p197 :rule eq-symm :args (tptp.d1 tptp.b)) % 1.21/1.45 (step @p198 :rule refl :args (@t101)) % 1.21/1.45 (step @p199 :rule refl :args (@t131)) % 1.21/1.45 (step @p200 :rule refl :args (@t132)) % 1.21/1.45 (step @p201 :rule nary_cong :premises (@p200 @p199 @p198 @p197) :args (@t135)) % 1.21/1.45 (step @p202 :rule refl :args (@t136)) % 1.21/1.45 (step @p203 :rule cong :premises (@p202 @p201) :args ((=> @t136 @t135))) % 1.21/1.45 (assume-push @p225 @t136) % 1.21/1.45 (step @p205 :rule instantiate :premises (@p117) :args ((@list tptp.b tptp.d1 tptp.d2 tptp.d3))) % 1.21/1.45 (step-pop @p226 :rule scope :premises (@p205)) % 1.21/1.45 (step @p206 :rule process_scope :premises (@p226) :args (@t135)) % 1.21/1.45 (step @p208 :rule eq_resolve :premises (@p206 @p203)) % 1.21/1.45 (step @p209 :rule implies_elim :premises (@p208)) % 1.21/1.45 (step @p210 false :rule chain_m_resolution :premises (@p209 @p196 @p117) :args (false @t126 (@list @t133 @t136))) % 1.21/1.45 ) % 1.21/1.45 % SZS output end Proof % 1.21/1.45 % cvc5 exiting %------------------------------------------------------------------------------