%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO010-3 : 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 08:16:05 AM UTC 2026 % Result : Unsatisfiable 0.40s 0.60s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO010-3 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n017.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Mon Jun 1 23:05:31 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.60 % SZS status Unsatisfiable % 0.40/0.60 % SZS output start Proof % 0.40/0.61 ( % 0.40/0.61 (declare-sort $$unsorted 0) % 0.40/0.61 (declare-const tptp.c $$unsorted) % 0.40/0.61 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.61 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.b $$unsorted) % 0.40/0.61 (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.61 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 0.40/0.61 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.61 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 0.40/0.61 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 0.40/0.61 (declare-const tptp.insertion (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.61 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.61 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.61 (declare-const tptp.colinear (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.40/0.61 (declare-const tptp.a $$unsorted) % 0.40/0.61 (declare-const tptp.reflection (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.61 (define @t1 () (@var "X" $$unsorted)) % 0.40/0.61 (define @t2 () (@var "Y" $$unsorted)) % 0.40/0.61 (define @t3 () (@list @t1 @t2)) % 0.40/0.61 (define @t4 () (@var "W" $$unsorted)) % 0.40/0.61 (define @t5 () (@var "V2" $$unsorted)) % 0.40/0.61 (define @t6 () (@var "V" $$unsorted)) % 0.40/0.61 (define @t7 () (@var "Z" $$unsorted)) % 0.40/0.61 (define @t8 () (= @t1 @t2)) % 0.40/0.61 (define @t9 () (@list @t1 @t2 @t7)) % 0.40/0.61 (define @t10 () (tptp.extension @t1 @t2 @t4 @t6)) % 0.40/0.61 (define @t11 () (@var "V1" $$unsorted)) % 0.40/0.61 (define @t12 () (@var "Z1" $$unsorted)) % 0.40/0.61 (define @t13 () (@var "Y1" $$unsorted)) % 0.40/0.61 (define @t14 () (@var "X1" $$unsorted)) % 0.40/0.61 (define @t15 () (tptp.between @t1 @t2 @t7)) % 0.40/0.61 (define @t16 () (not @t15)) % 0.40/0.61 (define @t17 () (@var "U" $$unsorted)) % 0.40/0.61 (define @t18 () (tptp.inner_pasch @t17 @t6 @t4 @t1 @t2)) % 0.40/0.61 (define @t19 () (not (tptp.between @t2 @t1 @t4))) % 0.40/0.61 (define @t20 () (tptp.between @t17 @t6 @t4)) % 0.40/0.61 (define @t21 () (not @t20)) % 0.40/0.61 (define @t22 () (@list @t17 @t6 @t4 @t2 @t1)) % 0.40/0.61 (define @t23 () (tptp.between @t7 @t1 @t2)) % 0.40/0.61 (define @t24 () (tptp.between @t2 @t7 @t1)) % 0.40/0.61 (define @t25 () (tptp.euclid1 @t17 @t6 @t4 @t1 @t2)) % 0.40/0.61 (define @t26 () (= @t17 @t4)) % 0.40/0.61 (define @t27 () (tptp.between @t6 @t4 @t1)) % 0.40/0.61 (define @t28 () (not @t27)) % 0.40/0.61 (define @t29 () (tptp.between @t17 @t4 @t2)) % 0.40/0.61 (define @t30 () (not @t29)) % 0.40/0.61 (define @t31 () (@list @t17 @t4 @t2 @t6 @t1)) % 0.40/0.61 (define @t32 () (tptp.euclid2 @t17 @t6 @t4 @t1 @t2)) % 0.40/0.61 (define @t33 () (tptp.continuous @t17 @t6 @t11 @t4 @t1 @t14)) % 0.40/0.61 (define @t34 () (tptp.between @t17 @t6 @t1)) % 0.40/0.61 (define @t35 () (not @t34)) % 0.40/0.61 (define @t36 () (not (tptp.equidistant @t17 @t1 @t17 @t14))) % 0.40/0.61 (define @t37 () (not (tptp.equidistant @t17 @t6 @t17 @t11))) % 0.40/0.61 (define @t38 () (@list @t17 @t6 @t11 @t1 @t14 @t4)) % 0.40/0.61 (define @t39 () (tptp.colinear @t1 @t2 @t7)) % 0.40/0.61 (define @t40 () (tptp.extension @t17 @t6 @t17 @t6)) % 0.40/0.61 (define @t41 () (tptp.reflection @t17 @t6)) % 0.40/0.61 (define @t42 () (@list @t17 @t6)) % 0.40/0.61 (define @t43 () (@var "U1" $$unsorted)) % 0.40/0.61 (define @t44 () (@var "W1" $$unsorted)) % 0.40/0.61 (define @t45 () (tptp.insertion @t43 @t44 @t17 @t6)) % 0.40/0.61 (define @t46 () (not (tptp.equidistant @t17 @t6 @t4 @t1))) % 0.40/0.61 (define @t47 () (@list @t17 @t6 @t4 @t1)) % 0.40/0.61 (define @t48 () (not (tptp.equidistant @t4 @t1 @t2 @t7))) % 0.40/0.61 (define @t49 () (@list @t6 @t17 @t4)) % 0.40/0.61 (define @t50 () (tptp.between @t17 @t6 @t2)) % 0.40/0.61 (define @t51 () (tptp.extension @t17 @t6 @t4 @t1)) % 0.40/0.61 (define @t52 () (@list @t6 @t17)) % 0.40/0.61 (define @t53 () (= @t6 @t41)) % 0.40/0.61 (define @t54 () (= @t17 @t6)) % 0.40/0.61 (define @t55 () (tptp.equidistant @t17 @t4 @t43 @t44)) % 0.40/0.61 (define @t56 () (tptp.between @t43 @t11 @t44)) % 0.40/0.61 (define @t57 () (not @t56)) % 0.40/0.61 (define @t58 () (tptp.equidistant @t6 @t4 @t11 @t44)) % 0.40/0.61 (define @t59 () (not @t58)) % 0.40/0.61 (define @t60 () (not (tptp.equidistant @t17 @t6 @t43 @t11))) % 0.40/0.61 (define @t61 () (@list @t17 @t6 @t43 @t11 @t4 @t44)) % 0.40/0.61 (define @t62 () (= @t4 @t1)) % 0.40/0.61 (define @t63 () (@list @t17 @t6 @t4)) % 0.40/0.61 (define @t64 () (@list @t4 @t1 @t2 @t7 @t17 @t6)) % 0.40/0.61 (define @t65 () (tptp.reflection @t41 @t6)) % 0.40/0.61 (define @t66 () (tptp.between @t17 @t4 @t1)) % 0.40/0.61 (define @t67 () (not @t66)) % 0.40/0.61 (define @t68 () (@list @t17 @t4 @t1 @t6)) % 0.40/0.61 (define @t69 () (tptp.between @t4 @t6 @t17)) % 0.40/0.61 (define @t70 () (tptp.between @t6 @t17 @t4)) % 0.40/0.61 (define @t71 () (not @t70)) % 0.40/0.61 (define @t72 () (= @t6 @t4)) % 0.40/0.61 (define @t73 () (tptp.between @t17 @t4 @t6)) % 0.40/0.61 (define @t74 () (not @t73)) % 0.40/0.61 (define @t75 () (@list @t17 @t6 @t1 @t4)) % 0.40/0.61 (define @t76 () (tptp.extension @t17 @t6 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) % 0.40/0.61 (define @t77 () (tptp.inner_pasch @t11 (tptp.inner_pasch @t17 @t1 @t43 @t11 @t4) @t17 @t6 @t4)) % 0.40/0.61 (define @t78 () (tptp.equidistant @t6 @t1 @t11 @t14)) % 0.40/0.61 (define @t79 () (not (tptp.equidistant @t4 @t1 @t44 @t14))) % 0.40/0.61 (define @t80 () (not (tptp.equidistant @t17 @t1 @t43 @t14))) % 0.40/0.61 (define @t81 () (not @t55)) % 0.40/0.61 (define @t82 () (@list @t17 @t6 @t43 @t11 @t4 @t44 @t1 @t14)) % 0.40/0.61 (define @t83 () (@list @t17 @t6 @t4 @t43 @t44)) % 0.40/0.61 (define @t84 () (tptp.colinear @t17 @t6 @t4)) % 0.40/0.61 (define @t85 () (tptp.colinear tptp.a tptp.b tptp.c)) % 0.40/0.61 (define @t86 () (tptp.colinear tptp.c tptp.b tptp.a)) % 0.40/0.61 (define @t87 () (tptp.colinear tptp.c tptp.a tptp.b)) % 0.40/0.61 (define @t88 () (tptp.colinear tptp.b tptp.c tptp.a)) % 0.40/0.61 (define @t89 () (tptp.colinear tptp.b tptp.a tptp.c)) % 0.40/0.61 (define @t90 () (tptp.colinear tptp.a tptp.c tptp.b)) % 0.40/0.61 (define @t91 () (@list tptp.c tptp.a tptp.b)) % 0.40/0.61 (define @t92 () (@list tptp.a tptp.b tptp.c)) % 0.40/0.61 (define @t93 () (tptp.between tptp.a tptp.b tptp.c)) % 0.40/0.61 (define @t94 () (not @t93)) % 0.40/0.61 (define @t95 () (or @t94 @t87)) % 0.40/0.61 (define @t96 () (or @t94 @t88)) % 0.40/0.61 (define @t97 () (or @t94 @t86)) % 0.40/0.61 (define @t98 () (or @t94 @t89)) % 0.40/0.61 (define @t99 () (@list tptp.b tptp.c tptp.a)) % 0.40/0.61 (define @t100 () (tptp.between tptp.b tptp.c tptp.a)) % 0.40/0.61 (define @t101 () (not @t100)) % 0.40/0.61 (define @t102 () (or @t101 @t90)) % 0.40/0.61 (define @t103 () (or @t94 @t90)) % 0.40/0.61 (define @t104 () (tptp.between tptp.c tptp.a tptp.b)) % 0.40/0.61 (define @t105 () (not @t104)) % 0.40/0.61 (define @t106 () (or @t105 @t90)) % 0.40/0.61 (define @t107 () (not @t85)) % 0.40/0.61 (define @t108 () (or @t107 @t93 @t100 @t104)) % 0.40/0.61 (define @t109 () (or @t101 @t87)) % 0.40/0.61 (define @t110 () (or @t101 @t89)) % 0.40/0.61 (define @t111 () (or @t101 @t86)) % 0.40/0.61 (define @t112 () (or @t101 @t88)) % 0.40/0.61 (define @t113 () (or @t105 @t88)) % 0.40/0.61 (define @t114 () (or @t105 @t87)) % 0.40/0.61 (define @t115 () (@list false false)) % 0.40/0.61 (define @t116 () (or @t105 @t89)) % 0.40/0.61 (define @t117 () (or @t105 @t86)) % 0.40/0.61 (assume @p1 (forall @t3 (tptp.equidistant @t1 @t2 @t2 @t1))) % 0.40/0.61 (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)))) % 0.40/0.61 (assume @p3 (forall @t9 (or (not (tptp.equidistant @t1 @t2 @t7 @t7)) @t8))) % 0.40/0.61 (assume @p4 (forall (@list @t1 @t2 @t4 @t6) (tptp.between @t1 @t2 @t10))) % 0.40/0.61 (assume @p5 (forall (@list @t2 @t1 @t4 @t6) (tptp.equidistant @t2 @t10 @t4 @t6))) % 0.40/0.61 (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)))) % 0.40/0.61 (assume @p7 (forall @t3 (or (not (tptp.between @t1 @t2 @t1)) @t8))) % 0.40/0.61 (assume @p8 (forall @t22 (or @t21 @t19 (tptp.between @t6 @t18 @t2)))) % 0.40/0.61 (assume @p9 (forall @t22 (or @t21 @t19 (tptp.between @t1 @t18 @t17)))) % 0.40/0.61 (assume @p10 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 0.40/0.61 (assume @p11 (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) % 0.40/0.61 (assume @p12 (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 0.40/0.61 (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)))) % 0.40/0.61 (assume @p14 (forall @t31 (or @t30 @t28 @t26 (tptp.between @t17 @t6 @t25)))) % 0.40/0.61 (assume @p15 (forall @t31 (or @t30 @t28 @t26 (tptp.between @t17 @t1 @t32)))) % 0.40/0.61 (assume @p16 (forall @t31 (or @t30 @t28 @t26 (tptp.between @t25 @t2 @t32)))) % 0.40/0.61 (assume @p17 (forall @t38 (or @t37 @t36 @t35 @t28 (tptp.between @t11 @t33 @t14)))) % 0.40/0.61 (assume @p18 (forall @t38 (or @t37 @t36 @t35 @t28 (tptp.equidistant @t17 @t4 @t17 @t33)))) % 0.40/0.61 (assume @p19 (forall @t9 (or @t16 @t39))) % 0.40/0.61 (assume @p20 (forall (@list @t2 @t7 @t1) (or (not @t24) @t39))) % 0.40/0.61 (assume @p21 (forall (@list @t7 @t1 @t2) (or (not @t23) @t39))) % 0.40/0.61 (assume @p22 (forall @t9 (or (not @t39) @t15 @t24 @t23))) % 0.40/0.61 (assume @p23 (forall @t42 (= @t41 @t40))) % 0.40/0.61 (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)))) % 0.40/0.61 (assume @p25 (forall @t42 (tptp.equidistant @t17 @t6 @t17 @t6))) % 0.40/0.61 (assume @p26 (forall @t47 (or @t46 (tptp.equidistant @t4 @t1 @t17 @t6)))) % 0.40/0.61 (assume @p27 (forall @t47 (or @t46 (tptp.equidistant @t6 @t17 @t4 @t1)))) % 0.40/0.61 (assume @p28 (forall @t47 (or @t46 (tptp.equidistant @t17 @t6 @t1 @t4)))) % 0.40/0.61 (assume @p29 (forall @t47 (or @t46 (tptp.equidistant @t6 @t17 @t1 @t4)))) % 0.40/0.61 (assume @p30 (forall @t47 (or @t46 (tptp.equidistant @t4 @t1 @t6 @t17)))) % 0.40/0.61 (assume @p31 (forall @t47 (or @t46 (tptp.equidistant @t1 @t4 @t17 @t6)))) % 0.40/0.61 (assume @p32 (forall @t47 (or @t46 (tptp.equidistant @t1 @t4 @t6 @t17)))) % 0.40/0.61 (assume @p33 (forall (@list @t17 @t6 @t4 @t1 @t2 @t7) (or @t46 @t48 (tptp.equidistant @t17 @t6 @t2 @t7)))) % 0.40/0.61 (assume @p34 (forall @t49 (= @t6 (tptp.extension @t17 @t6 @t4 @t4)))) % 0.40/0.61 (assume @p35 (forall (@list @t2 @t17 @t6 @t4 @t1) (or (not (= @t2 @t51)) @t50))) % 0.40/0.61 (assume @p36 (forall @t42 (tptp.between @t17 @t6 @t41))) % 0.40/0.61 (assume @p37 (forall @t52 (tptp.equidistant @t6 @t41 @t17 @t6))) % 0.40/0.61 (assume @p38 (forall @t42 (or (not @t54) @t53))) % 0.40/0.61 (assume @p39 (forall (@list @t17) (= @t17 (tptp.reflection @t17 @t17)))) % 0.40/0.61 (assume @p40 (forall @t52 (or (not @t53) @t54))) % 0.40/0.61 (assume @p41 (forall @t42 (tptp.equidistant @t17 @t17 @t6 @t6))) % 0.40/0.61 (assume @p42 (forall @t61 (or @t60 @t59 @t21 @t57 @t55))) % 0.40/0.61 (assume @p43 (forall @t47 (or @t21 @t35 (not (tptp.equidistant @t6 @t4 @t6 @t1)) @t54 @t62))) % 0.40/0.61 (assume @p44 (forall @t63 (or @t21 @t54 (= @t4 (tptp.extension @t17 @t6 @t6 @t4))))) % 0.40/0.61 (assume @p45 (forall @t64 (or @t48 (= @t51 (tptp.extension @t17 @t6 @t2 @t7)) @t54))) % 0.40/0.61 (assume @p46 (forall @t42 (or (= @t40 (tptp.extension @t17 @t6 @t6 @t17)) @t54))) % 0.40/0.61 (assume @p47 (forall @t52 (tptp.equidistant @t6 @t17 @t6 @t65))) % 0.40/0.61 (assume @p48 (forall @t42 (= @t17 @t65))) % 0.40/0.61 (assume @p49 (forall @t42 (tptp.between @t17 @t6 @t6))) % 0.40/0.61 (assume @p50 (forall @t68 (or @t67 (not (= @t17 @t1)) @t27))) % 0.40/0.61 (assume @p51 (forall @t63 (or @t21 @t69))) % 0.40/0.61 (assume @p52 (forall @t42 (tptp.between @t17 @t17 @t6))) % 0.40/0.61 (assume @p53 (forall @t63 (or @t21 @t71 @t54))) % 0.40/0.61 (assume @p54 (forall @t63 (or @t21 @t74 @t72))) % 0.40/0.61 (assume @p55 (forall @t63 (or @t21 @t71 @t54 @t72))) % 0.40/0.61 (assume @p56 (forall @t63 (or @t21 @t74 @t54 @t72))) % 0.40/0.61 (assume @p57 (forall @t47 (or @t21 @t28 @t20))) % 0.40/0.61 (assume @p58 (forall @t47 (or @t21 @t67 @t27))) % 0.40/0.61 (assume @p59 (forall @t47 (or @t21 @t28 @t66 @t72))) % 0.40/0.61 (assume @p60 (forall @t47 (or @t21 @t28 @t34 @t72))) % 0.40/0.61 (assume @p61 (forall @t75 (or @t35 @t28 @t66))) % 0.40/0.61 (assume @p62 (forall @t47 (or @t21 @t67 @t34))) % 0.40/0.61 (assume @p63 (not (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 0.40/0.61 (assume @p64 (not (= tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 0.40/0.61 (assume @p65 (not (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_3))) % 0.40/0.61 (assume @p66 (forall @t52 (not (= @t6 @t76)))) % 0.40/0.61 (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)))) % 0.40/0.61 (assume @p68 (forall @t42 (tptp.between @t17 @t6 @t76))) % 0.40/0.61 (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)))) % 0.40/0.61 (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)))) % 0.40/0.61 (assume @p71 (forall @t82 (or @t60 @t81 @t80 @t79 @t21 @t57 @t78))) % 0.40/0.61 (assume @p72 (forall (@list @t17 @t6 @t4 @t43 @t11 @t44) (or @t21 @t57 @t60 @t81 @t58))) % 0.40/0.61 (assume @p73 (forall @t82 (or @t60 @t59 @t80 @t79 @t21 @t57 @t78))) % 0.40/0.61 (assume @p74 (forall @t47 (or @t21 (not (tptp.equidistant @t17 @t6 @t17 @t1)) (not (tptp.equidistant @t4 @t6 @t4 @t1)) (= @t6 @t1)))) % 0.40/0.61 (assume @p75 (forall (@list @t17 @t6 @t43 @t44) (tptp.equidistant @t17 @t6 @t43 @t45))) % 0.40/0.61 (assume @p76 (forall @t83 (or @t21 @t81 (tptp.between @t43 @t45 @t44)))) % 0.40/0.61 (assume @p77 (forall @t83 (or @t21 @t81 (tptp.equidistant @t6 @t4 @t45 @t44)))) % 0.40/0.61 (assume @p78 (forall @t63 (or @t21 (= @t6 (tptp.insertion @t17 @t4 @t17 @t6))))) % 0.40/0.61 (assume @p79 (forall @t64 (or @t48 (= (tptp.insertion @t17 @t6 @t4 @t1) (tptp.insertion @t17 @t6 @t2 @t7))))) % 0.40/0.61 (assume @p80 (forall @t61 (or @t60 @t59 @t81 @t21 @t56))) % 0.40/0.61 (assume @p81 (forall @t47 (or @t21 @t35 @t54 @t66 (tptp.between @t17 @t1 @t4)))) % 0.40/0.61 (assume @p82 (forall @t47 (or @t21 @t35 @t54 @t27 (tptp.between @t6 @t1 @t4)))) % 0.40/0.61 (assume @p83 (forall @t68 (or @t67 @t28 @t62 @t20 @t70))) % 0.40/0.61 (assume @p84 (forall @t75 (or @t35 @t67 @t20 @t73))) % 0.40/0.61 (assume @p85 (forall @t75 (or @t35 @t67 @t27 (tptp.between @t4 @t6 @t1)))) % 0.40/0.61 (assume @p86 (forall (@list @t17 @t6 @t2 @t4 @t1) (or (not @t50) @t28 (not (tptp.between @t17 @t1 @t2)) @t29))) % 0.40/0.61 (assume @p87 (forall @t63 (or @t21 (not (tptp.equidistant @t17 @t6 @t17 @t4)) @t72))) % 0.40/0.61 (assume @p88 (forall (@list @t4 @t6 @t17) (or (not @t69) @t84))) % 0.40/0.61 (assume @p89 (forall (@list @t17 @t4 @t6) (or @t74 @t84))) % 0.40/0.61 (assume @p90 (forall @t49 (or @t71 @t84))) % 0.40/0.61 (assume @p91 @t85) % 0.40/0.61 (assume @p92 (or (not @t90) (not @t89) (not @t88) (not @t87) (not @t86))) % 0.40/0.61 (step @p93 :rule instantiate :premises (@p19) :args (@t91)) % 0.40/0.61 (step @p94 :rule instantiate :premises (@p22) :args (@t92)) % 0.40/0.61 (step @p95 :rule instantiate :premises (@p20) :args (@t92)) % 0.40/0.61 (step @p96 :rule cnf_or_pos :args (@t95)) % 0.40/0.61 (step @p97 :rule reordering :premises (@p96) :args ((or @t87 @t94 (not @t95)))) % 0.40/0.61 (step @p98 :rule instantiate :premises (@p21) :args (@t92)) % 0.40/0.61 (step @p99 :rule cnf_or_pos :args (@t96)) % 0.40/0.61 (step @p100 :rule reordering :premises (@p99) :args ((or @t88 @t94 (not @t96)))) % 0.40/0.61 (step @p101 :rule instantiate :premises (@p88) :args (@t92)) % 0.40/0.61 (step @p102 :rule cnf_or_pos :args (@t97)) % 0.40/0.61 (step @p103 :rule reordering :premises (@p102) :args ((or @t86 @t94 (not @t97)))) % 0.40/0.61 (step @p104 :rule instantiate :premises (@p90) :args (@t92)) % 0.40/0.61 (step @p105 :rule cnf_or_pos :args (@t98)) % 0.40/0.61 (step @p106 :rule reordering :premises (@p105) :args ((or @t89 @t94 (not @t98)))) % 0.40/0.61 (step @p107 :rule instantiate :premises (@p88) :args (@t99)) % 0.40/0.61 (step @p108 :rule cnf_or_pos :args (@t102)) % 0.40/0.61 (step @p109 :rule reordering :premises (@p108) :args ((or @t90 @t101 (not @t102)))) % 0.40/0.61 (step @p110 :rule instantiate :premises (@p89) :args (@t92)) % 0.40/0.61 (step @p111 :rule cnf_or_pos :args (@t103)) % 0.40/0.61 (step @p112 :rule reordering :premises (@p111) :args ((or @t90 @t94 (not @t103)))) % 0.40/0.61 (step @p113 :rule instantiate :premises (@p90) :args (@t91)) % 0.40/0.61 (step @p114 :rule cnf_or_pos :args (@t106)) % 0.40/0.61 (step @p115 :rule reordering :premises (@p114) :args ((or @t90 @t105 (not @t106)))) % 0.40/0.61 (step @p116 :rule cnf_or_pos :args (@t108)) % 0.40/0.61 (step @p117 :rule reordering :premises (@p116) :args ((or @t107 @t100 @t104 @t93 (not @t108)))) % 0.40/0.61 (step @p118 :rule chain_m_resolution :premises (@p117 @p94 @p91 @p115 @p113 @p112 @p110 @p109 @p107) :args (@t90 (@list false false true false true false true false) (@list @t108 @t85 @t104 @t106 @t93 @t103 @t100 @t102))) % 0.40/0.61 (step @p119 :rule chain_m_resolution :premises (@p92 @p118 @p106 @p104 @p103 @p101 @p100 @p98 @p97 @p95) :args (@t94 (@list false false false false false false false false false) (@list @t90 @t89 @t98 @t86 @t97 @t88 @t96 @t87 @t95))) % 0.40/0.61 (step @p120 :rule instantiate :premises (@p21) :args (@t99)) % 0.40/0.61 (step @p121 :rule cnf_or_pos :args (@t109)) % 0.40/0.61 (step @p122 :rule reordering :premises (@p121) :args ((or @t87 @t101 (not @t109)))) % 0.40/0.61 (step @p123 :rule instantiate :premises (@p89) :args (@t99)) % 0.40/0.61 (step @p124 :rule cnf_or_pos :args (@t110)) % 0.40/0.61 (step @p125 :rule reordering :premises (@p124) :args ((or @t89 @t101 (not @t110)))) % 0.40/0.61 (step @p126 :rule instantiate :premises (@p90) :args (@t99)) % 0.40/0.61 (step @p127 :rule cnf_or_pos :args (@t111)) % 0.40/0.61 (step @p128 :rule reordering :premises (@p127) :args ((or @t86 @t101 (not @t111)))) % 0.40/0.61 (step @p129 :rule instantiate :premises (@p19) :args (@t99)) % 0.40/0.61 (step @p130 :rule cnf_or_pos :args (@t112)) % 0.40/0.61 (step @p131 :rule reordering :premises (@p130) :args ((or @t88 @t101 (not @t112)))) % 0.40/0.61 (step @p132 :rule instantiate :premises (@p20) :args (@t91)) % 0.40/0.61 (step @p133 :rule cnf_or_pos :args (@t113)) % 0.40/0.61 (step @p134 :rule reordering :premises (@p133) :args ((or @t88 @t105 (not @t113)))) % 0.40/0.61 (step @p135 :rule chain_m_resolution :premises (@p117 @p119 @p94 @p91 @p134 @p132 @p131 @p129) :args (@t88 (@list true false false true false true false) (@list @t93 @t108 @t85 @t104 @t113 @t100 @t112))) % 0.40/0.61 (step @p136 :rule chain_m_resolution :premises (@p92 @p118 @p135 @p128 @p126 @p125 @p123 @p122 @p120) :args (@t101 (@list false false false false false false false false) (@list @t90 @t88 @t86 @t111 @t89 @t110 @t87 @t109))) % 0.40/0.61 (step @p137 :rule chain_m_resolution :premises (@p117 @p91 @p136 @p119 @p94) :args (@t104 (@list false true true false) (@list @t85 @t100 @t93 @t108))) % 0.40/0.61 (step @p138 :rule cnf_or_pos :args (@t114)) % 0.40/0.61 (step @p139 :rule reordering :premises (@p138) :args ((or @t87 @t105 (not @t114)))) % 0.40/0.61 (step @p140 :rule chain_m_resolution :premises (@p139 @p137 @p93) :args (@t87 @t115 (@list @t104 @t114))) % 0.40/0.61 (step @p141 :rule instantiate :premises (@p88) :args (@t91)) % 0.40/0.61 (step @p142 :rule cnf_or_pos :args (@t116)) % 0.40/0.61 (step @p143 :rule reordering :premises (@p142) :args ((or @t89 @t105 (not @t116)))) % 0.40/0.61 (step @p144 :rule chain_m_resolution :premises (@p143 @p137 @p141) :args (@t89 @t115 (@list @t104 @t116))) % 0.40/0.61 (step @p145 :rule instantiate :premises (@p89) :args (@t91)) % 0.40/0.61 (step @p146 :rule cnf_or_pos :args (@t117)) % 0.40/0.61 (step @p147 :rule reordering :premises (@p146) :args ((or @t86 @t105 (not @t117)))) % 0.40/0.61 (step @p148 :rule chain_m_resolution :premises (@p147 @p137 @p145) :args (@t86 @t115 (@list @t104 @t117))) % 0.40/0.61 (step @p149 false :rule chain_m_resolution :premises (@p92 @p148 @p144 @p118 @p135 @p140) :args (false (@list false false false false false) (@list @t86 @t89 @t90 @t88 @t87))) % 0.40/0.61 ) % 0.40/0.61 % SZS output end Proof % 0.40/0.61 % cvc5 exiting %------------------------------------------------------------------------------