%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO067-3 : 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 : n024.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 08:16:15 AM UTC 2026 % Result : Unsatisfiable 0.14s 0.38s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GEO067-3 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.24 % Computer : n024.cluster.edu % 0.06/0.24 % Model : x86_64 x86_64 % 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.24 % Memory : 8042.1875MB % 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.24 % CPULimit : 300 % 0.06/0.24 % WCLimit : 300 % 0.06/0.24 % DateTime : Mon Jun 1 18:15:00 EDT 2026 % 0.06/0.25 % CPUTime : % 0.14/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.14/0.38 % SZS status Unsatisfiable % 0.14/0.38 % SZS output start Proof % 0.14/0.39 ( % 0.14/0.39 (declare-sort $$unsorted 0) % 0.14/0.39 (declare-const tptp.z $$unsorted) % 0.14/0.39 (declare-const tptp.y $$unsorted) % 0.14/0.39 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 0.14/0.39 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 0.14/0.39 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 0.14/0.39 (declare-const tptp.insertion (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.x $$unsorted) % 0.14/0.39 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.colinear (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.reflection (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (define @t1 () (@var "X" $$unsorted)) % 0.14/0.39 (define @t2 () (@var "Y" $$unsorted)) % 0.14/0.39 (define @t3 () (@list @t1 @t2)) % 0.14/0.39 (define @t4 () (@var "W" $$unsorted)) % 0.14/0.39 (define @t5 () (@var "V2" $$unsorted)) % 0.14/0.39 (define @t6 () (@var "V" $$unsorted)) % 0.14/0.39 (define @t7 () (@var "Z" $$unsorted)) % 0.14/0.39 (define @t8 () (= @t1 @t2)) % 0.14/0.39 (define @t9 () (@list @t1 @t2 @t7)) % 0.14/0.39 (define @t10 () (tptp.extension @t1 @t2 @t4 @t6)) % 0.14/0.39 (define @t11 () (@var "V1" $$unsorted)) % 0.14/0.39 (define @t12 () (@var "Z1" $$unsorted)) % 0.14/0.39 (define @t13 () (@var "Y1" $$unsorted)) % 0.14/0.39 (define @t14 () (@var "X1" $$unsorted)) % 0.14/0.39 (define @t15 () (tptp.between @t1 @t2 @t7)) % 0.14/0.39 (define @t16 () (not @t15)) % 0.14/0.39 (define @t17 () (@var "U" $$unsorted)) % 0.14/0.39 (define @t18 () (tptp.inner_pasch @t17 @t6 @t4 @t1 @t2)) % 0.14/0.39 (define @t19 () (not (tptp.between @t2 @t1 @t4))) % 0.14/0.39 (define @t20 () (tptp.between @t17 @t6 @t4)) % 0.14/0.39 (define @t21 () (not @t20)) % 0.14/0.39 (define @t22 () (@list @t17 @t6 @t4 @t2 @t1)) % 0.14/0.39 (define @t23 () (tptp.between @t7 @t1 @t2)) % 0.14/0.39 (define @t24 () (tptp.between @t2 @t7 @t1)) % 0.14/0.39 (define @t25 () (tptp.euclid1 @t17 @t6 @t4 @t1 @t2)) % 0.14/0.39 (define @t26 () (= @t17 @t4)) % 0.14/0.39 (define @t27 () (tptp.between @t6 @t4 @t1)) % 0.14/0.39 (define @t28 () (not @t27)) % 0.14/0.39 (define @t29 () (tptp.between @t17 @t4 @t2)) % 0.14/0.39 (define @t30 () (not @t29)) % 0.14/0.39 (define @t31 () (@list @t17 @t4 @t2 @t6 @t1)) % 0.14/0.39 (define @t32 () (tptp.euclid2 @t17 @t6 @t4 @t1 @t2)) % 0.14/0.39 (define @t33 () (tptp.continuous @t17 @t6 @t11 @t4 @t1 @t14)) % 0.14/0.39 (define @t34 () (tptp.between @t17 @t6 @t1)) % 0.14/0.39 (define @t35 () (not @t34)) % 0.14/0.39 (define @t36 () (not (tptp.equidistant @t17 @t1 @t17 @t14))) % 0.14/0.39 (define @t37 () (not (tptp.equidistant @t17 @t6 @t17 @t11))) % 0.14/0.39 (define @t38 () (@list @t17 @t6 @t11 @t1 @t14 @t4)) % 0.14/0.39 (define @t39 () (tptp.colinear @t1 @t2 @t7)) % 0.14/0.39 (define @t40 () (tptp.extension @t17 @t6 @t17 @t6)) % 0.14/0.39 (define @t41 () (tptp.reflection @t17 @t6)) % 0.14/0.39 (define @t42 () (@list @t17 @t6)) % 0.14/0.39 (define @t43 () (@var "U1" $$unsorted)) % 0.14/0.39 (define @t44 () (@var "W1" $$unsorted)) % 0.14/0.39 (define @t45 () (tptp.insertion @t43 @t44 @t17 @t6)) % 0.14/0.39 (define @t46 () (not (tptp.equidistant @t17 @t6 @t4 @t1))) % 0.14/0.39 (define @t47 () (@list @t17 @t6 @t4 @t1)) % 0.14/0.39 (define @t48 () (not (tptp.equidistant @t4 @t1 @t2 @t7))) % 0.14/0.39 (define @t49 () (@list @t6 @t17 @t4)) % 0.14/0.39 (define @t50 () (tptp.between @t17 @t6 @t2)) % 0.14/0.39 (define @t51 () (tptp.extension @t17 @t6 @t4 @t1)) % 0.14/0.39 (define @t52 () (@list @t6 @t17)) % 0.14/0.39 (define @t53 () (= @t6 @t41)) % 0.14/0.39 (define @t54 () (= @t17 @t6)) % 0.14/0.39 (define @t55 () (tptp.equidistant @t17 @t4 @t43 @t44)) % 0.14/0.39 (define @t56 () (tptp.between @t43 @t11 @t44)) % 0.14/0.39 (define @t57 () (not @t56)) % 0.14/0.39 (define @t58 () (tptp.equidistant @t6 @t4 @t11 @t44)) % 0.14/0.39 (define @t59 () (not @t58)) % 0.14/0.39 (define @t60 () (not (tptp.equidistant @t17 @t6 @t43 @t11))) % 0.14/0.39 (define @t61 () (@list @t17 @t6 @t43 @t11 @t4 @t44)) % 0.14/0.39 (define @t62 () (= @t4 @t1)) % 0.14/0.39 (define @t63 () (@list @t17 @t6 @t4)) % 0.14/0.39 (define @t64 () (@list @t4 @t1 @t2 @t7 @t17 @t6)) % 0.14/0.39 (define @t65 () (tptp.reflection @t41 @t6)) % 0.14/0.39 (define @t66 () (not (= @t17 @t1))) % 0.14/0.39 (define @t67 () (tptp.between @t17 @t4 @t1)) % 0.14/0.39 (define @t68 () (not @t67)) % 0.14/0.39 (define @t69 () (or @t68 @t66 @t27)) % 0.14/0.39 (define @t70 () (@list @t17 @t4 @t1 @t6)) % 0.14/0.39 (define @t71 () (forall @t70 @t69)) % 0.14/0.39 (define @t72 () (tptp.between @t4 @t6 @t17)) % 0.14/0.39 (define @t73 () (tptp.between @t6 @t17 @t4)) % 0.14/0.39 (define @t74 () (not @t73)) % 0.14/0.39 (define @t75 () (= @t6 @t4)) % 0.14/0.39 (define @t76 () (tptp.between @t17 @t4 @t6)) % 0.14/0.39 (define @t77 () (not @t76)) % 0.14/0.39 (define @t78 () (@list @t17 @t6 @t1 @t4)) % 0.14/0.39 (define @t79 () (tptp.extension @t17 @t6 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)) % 0.14/0.39 (define @t80 () (tptp.inner_pasch @t11 (tptp.inner_pasch @t17 @t1 @t43 @t11 @t4) @t17 @t6 @t4)) % 0.14/0.39 (define @t81 () (tptp.equidistant @t6 @t1 @t11 @t14)) % 0.14/0.39 (define @t82 () (not (tptp.equidistant @t4 @t1 @t44 @t14))) % 0.14/0.39 (define @t83 () (not (tptp.equidistant @t17 @t1 @t43 @t14))) % 0.14/0.39 (define @t84 () (not @t55)) % 0.14/0.39 (define @t85 () (@list @t17 @t6 @t43 @t11 @t4 @t44 @t1 @t14)) % 0.14/0.39 (define @t86 () (@list @t17 @t6 @t4 @t43 @t44)) % 0.14/0.39 (define @t87 () (tptp.colinear @t17 @t6 @t4)) % 0.14/0.39 (define @t88 () (@list @t17 @t4 @t6)) % 0.14/0.39 (define @t89 () (not @t87)) % 0.14/0.39 (define @t90 () (= tptp.x tptp.y)) % 0.14/0.39 (define @t91 () (tptp.colinear tptp.y tptp.x tptp.x)) % 0.14/0.39 (define @t92 () (not @t91)) % 0.14/0.39 (define @t93 () (tptp.colinear tptp.x tptp.y tptp.x)) % 0.14/0.39 (define @t94 () (not @t93)) % 0.14/0.39 (define @t95 () (tptp.colinear tptp.x tptp.x tptp.y)) % 0.14/0.39 (define @t96 () (not @t95)) % 0.14/0.39 (define @t97 () (tptp.colinear tptp.x tptp.z tptp.y)) % 0.14/0.39 (define @t98 () (not @t97)) % 0.14/0.39 (define @t99 () (@list tptp.y tptp.x tptp.x)) % 0.14/0.39 (define @t100 () (tptp.between tptp.y tptp.x tptp.x)) % 0.14/0.39 (define @t101 () (not @t100)) % 0.14/0.39 (define @t102 () (or @t101 @t91)) % 0.14/0.39 (define @t103 () (@list false false)) % 0.14/0.39 (define @t104 () (or @t101 @t93)) % 0.14/0.39 (define @t105 () (or @t101 @t95)) % 0.14/0.39 (define @t106 () (@list false false false)) % 0.14/0.39 (define @t107 () (@list @t95 @t93 @t91)) % 0.14/0.39 (define @t108 () (tptp.between @t6 @t4 @t17)) % 0.14/0.39 (define @t109 () (not (tptp.between @t17 @t4 @t17))) % 0.14/0.39 (define @t110 () (not (= @t17 @t17))) % 0.14/0.39 (define @t111 () (or @t109 @t110 @t108)) % 0.14/0.39 (define @t112 () (not (= @t1 @t17))) % 0.14/0.39 (define @t113 () (or @t112 @t68 @t112 @t27)) % 0.14/0.39 (define @t114 () (@list @t1)) % 0.14/0.39 (define @t115 () (or @t68 @t112 @t27)) % 0.14/0.39 (define @t116 () (forall @t114 @t115)) % 0.14/0.39 (define @t117 () (forall @t88 @t116)) % 0.14/0.39 (define @t118 () (forall (@list @t17 @t4 @t6 @t1) @t115)) % 0.14/0.39 (define @t119 () (tptp.between tptp.z tptp.x tptp.y)) % 0.14/0.39 (define @t120 () (not @t119)) % 0.14/0.39 (define @t121 () (or @t120 @t97)) % 0.14/0.39 (define @t122 () (@list true false)) % 0.14/0.39 (define @t123 () (tptp.between tptp.y tptp.x tptp.y)) % 0.14/0.39 (define @t124 () (not @t123)) % 0.14/0.39 (define @t125 () (or @t124 @t119)) % 0.14/0.39 (define @t126 () (and @t90 @t100)) % 0.14/0.39 (assume @p1 (forall @t3 (tptp.equidistant @t1 @t2 @t2 @t1))) % 0.14/0.39 (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)))) % 0.14/0.39 (assume @p3 (forall @t9 (or (not (tptp.equidistant @t1 @t2 @t7 @t7)) @t8))) % 0.14/0.39 (assume @p4 (forall (@list @t1 @t2 @t4 @t6) (tptp.between @t1 @t2 @t10))) % 0.14/0.39 (assume @p5 (forall (@list @t2 @t1 @t4 @t6) (tptp.equidistant @t2 @t10 @t4 @t6))) % 0.14/0.39 (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)))) % 0.14/0.39 (assume @p7 (forall @t3 (or (not (tptp.between @t1 @t2 @t1)) @t8))) % 0.14/0.39 (assume @p8 (forall @t22 (or @t21 @t19 (tptp.between @t6 @t18 @t2)))) % 0.14/0.39 (assume @p9 (forall @t22 (or @t21 @t19 (tptp.between @t1 @t18 @t17)))) % 0.14/0.39 (assume @p10 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 0.14/0.39 (assume @p11 (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) % 0.14/0.39 (assume @p12 (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 0.14/0.39 (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)))) % 0.14/0.39 (assume @p14 (forall @t31 (or @t30 @t28 @t26 (tptp.between @t17 @t6 @t25)))) % 0.14/0.39 (assume @p15 (forall @t31 (or @t30 @t28 @t26 (tptp.between @t17 @t1 @t32)))) % 0.14/0.39 (assume @p16 (forall @t31 (or @t30 @t28 @t26 (tptp.between @t25 @t2 @t32)))) % 0.14/0.39 (assume @p17 (forall @t38 (or @t37 @t36 @t35 @t28 (tptp.between @t11 @t33 @t14)))) % 0.14/0.39 (assume @p18 (forall @t38 (or @t37 @t36 @t35 @t28 (tptp.equidistant @t17 @t4 @t17 @t33)))) % 0.14/0.39 (assume @p19 (forall @t9 (or @t16 @t39))) % 0.14/0.39 (assume @p20 (forall (@list @t2 @t7 @t1) (or (not @t24) @t39))) % 0.14/0.39 (assume @p21 (forall (@list @t7 @t1 @t2) (or (not @t23) @t39))) % 0.14/0.39 (assume @p22 (forall @t9 (or (not @t39) @t15 @t24 @t23))) % 0.14/0.39 (assume @p23 (forall @t42 (= @t41 @t40))) % 0.14/0.39 (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)))) % 0.14/0.39 (assume @p25 (forall @t42 (tptp.equidistant @t17 @t6 @t17 @t6))) % 0.14/0.39 (assume @p26 (forall @t47 (or @t46 (tptp.equidistant @t4 @t1 @t17 @t6)))) % 0.14/0.39 (assume @p27 (forall @t47 (or @t46 (tptp.equidistant @t6 @t17 @t4 @t1)))) % 0.14/0.39 (assume @p28 (forall @t47 (or @t46 (tptp.equidistant @t17 @t6 @t1 @t4)))) % 0.14/0.39 (assume @p29 (forall @t47 (or @t46 (tptp.equidistant @t6 @t17 @t1 @t4)))) % 0.14/0.39 (assume @p30 (forall @t47 (or @t46 (tptp.equidistant @t4 @t1 @t6 @t17)))) % 0.14/0.39 (assume @p31 (forall @t47 (or @t46 (tptp.equidistant @t1 @t4 @t17 @t6)))) % 0.14/0.39 (assume @p32 (forall @t47 (or @t46 (tptp.equidistant @t1 @t4 @t6 @t17)))) % 0.14/0.39 (assume @p33 (forall (@list @t17 @t6 @t4 @t1 @t2 @t7) (or @t46 @t48 (tptp.equidistant @t17 @t6 @t2 @t7)))) % 0.14/0.39 (assume @p34 (forall @t49 (= @t6 (tptp.extension @t17 @t6 @t4 @t4)))) % 0.14/0.39 (assume @p35 (forall (@list @t2 @t17 @t6 @t4 @t1) (or (not (= @t2 @t51)) @t50))) % 0.14/0.39 (assume @p36 (forall @t42 (tptp.between @t17 @t6 @t41))) % 0.14/0.39 (assume @p37 (forall @t52 (tptp.equidistant @t6 @t41 @t17 @t6))) % 0.14/0.39 (assume @p38 (forall @t42 (or (not @t54) @t53))) % 0.14/0.39 (assume @p39 (forall (@list @t17) (= @t17 (tptp.reflection @t17 @t17)))) % 0.14/0.39 (assume @p40 (forall @t52 (or (not @t53) @t54))) % 0.14/0.39 (assume @p41 (forall @t42 (tptp.equidistant @t17 @t17 @t6 @t6))) % 0.14/0.39 (assume @p42 (forall @t61 (or @t60 @t59 @t21 @t57 @t55))) % 0.14/0.39 (assume @p43 (forall @t47 (or @t21 @t35 (not (tptp.equidistant @t6 @t4 @t6 @t1)) @t54 @t62))) % 0.14/0.39 (assume @p44 (forall @t63 (or @t21 @t54 (= @t4 (tptp.extension @t17 @t6 @t6 @t4))))) % 0.14/0.39 (assume @p45 (forall @t64 (or @t48 (= @t51 (tptp.extension @t17 @t6 @t2 @t7)) @t54))) % 0.14/0.39 (assume @p46 (forall @t42 (or (= @t40 (tptp.extension @t17 @t6 @t6 @t17)) @t54))) % 0.14/0.39 (assume @p47 (forall @t52 (tptp.equidistant @t6 @t17 @t6 @t65))) % 0.14/0.39 (assume @p48 (forall @t42 (= @t17 @t65))) % 0.14/0.39 (assume @p49 (forall @t42 (tptp.between @t17 @t6 @t6))) % 0.14/0.39 (assume @p50 @t71) % 0.14/0.39 (assume @p51 (forall @t63 (or @t21 @t72))) % 0.14/0.39 (assume @p52 (forall @t42 (tptp.between @t17 @t17 @t6))) % 0.14/0.39 (assume @p53 (forall @t63 (or @t21 @t74 @t54))) % 0.14/0.39 (assume @p54 (forall @t63 (or @t21 @t77 @t75))) % 0.14/0.39 (assume @p55 (forall @t63 (or @t21 @t74 @t54 @t75))) % 0.14/0.39 (assume @p56 (forall @t63 (or @t21 @t77 @t54 @t75))) % 0.14/0.39 (assume @p57 (forall @t47 (or @t21 @t28 @t20))) % 0.14/0.39 (assume @p58 (forall @t47 (or @t21 @t68 @t27))) % 0.14/0.39 (assume @p59 (forall @t47 (or @t21 @t28 @t67 @t75))) % 0.14/0.39 (assume @p60 (forall @t47 (or @t21 @t28 @t34 @t75))) % 0.14/0.39 (assume @p61 (forall @t78 (or @t35 @t28 @t67))) % 0.14/0.39 (assume @p62 (forall @t47 (or @t21 @t68 @t34))) % 0.14/0.39 (assume @p63 (not (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 0.14/0.39 (assume @p64 (not (= tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 0.14/0.39 (assume @p65 (not (= tptp.lower_dimension_point_1 tptp.lower_dimension_point_3))) % 0.14/0.39 (assume @p66 (forall @t52 (not (= @t6 @t79)))) % 0.14/0.39 (assume @p67 (forall (@list @t6 @t17 @t1 @t4) (tptp.equidistant @t6 @t79 @t1 (tptp.extension @t4 @t1 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2)))) % 0.14/0.39 (assume @p68 (forall @t42 (tptp.between @t17 @t6 @t79))) % 0.14/0.39 (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 @t80 @t4) (tptp.between @t6 @t80 @t11)))) % 0.14/0.39 (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)))) % 0.14/0.39 (assume @p71 (forall @t85 (or @t60 @t84 @t83 @t82 @t21 @t57 @t81))) % 0.14/0.39 (assume @p72 (forall (@list @t17 @t6 @t4 @t43 @t11 @t44) (or @t21 @t57 @t60 @t84 @t58))) % 0.14/0.39 (assume @p73 (forall @t85 (or @t60 @t59 @t83 @t82 @t21 @t57 @t81))) % 0.14/0.39 (assume @p74 (forall @t47 (or @t21 (not (tptp.equidistant @t17 @t6 @t17 @t1)) (not (tptp.equidistant @t4 @t6 @t4 @t1)) (= @t6 @t1)))) % 0.14/0.39 (assume @p75 (forall (@list @t17 @t6 @t43 @t44) (tptp.equidistant @t17 @t6 @t43 @t45))) % 0.14/0.39 (assume @p76 (forall @t86 (or @t21 @t84 (tptp.between @t43 @t45 @t44)))) % 0.14/0.39 (assume @p77 (forall @t86 (or @t21 @t84 (tptp.equidistant @t6 @t4 @t45 @t44)))) % 0.14/0.39 (assume @p78 (forall @t63 (or @t21 (= @t6 (tptp.insertion @t17 @t4 @t17 @t6))))) % 0.14/0.39 (assume @p79 (forall @t64 (or @t48 (= (tptp.insertion @t17 @t6 @t4 @t1) (tptp.insertion @t17 @t6 @t2 @t7))))) % 0.14/0.39 (assume @p80 (forall @t61 (or @t60 @t59 @t84 @t21 @t56))) % 0.14/0.39 (assume @p81 (forall @t47 (or @t21 @t35 @t54 @t67 (tptp.between @t17 @t1 @t4)))) % 0.14/0.39 (assume @p82 (forall @t47 (or @t21 @t35 @t54 @t27 (tptp.between @t6 @t1 @t4)))) % 0.14/0.39 (assume @p83 (forall @t70 (or @t68 @t28 @t62 @t20 @t73))) % 0.14/0.39 (assume @p84 (forall @t78 (or @t35 @t68 @t20 @t76))) % 0.14/0.39 (assume @p85 (forall @t78 (or @t35 @t68 @t27 (tptp.between @t4 @t6 @t1)))) % 0.14/0.39 (assume @p86 (forall (@list @t17 @t6 @t2 @t4 @t1) (or (not @t50) @t28 (not (tptp.between @t17 @t1 @t2)) @t29))) % 0.14/0.39 (assume @p87 (forall @t63 (or @t21 (not (tptp.equidistant @t17 @t6 @t17 @t4)) @t75))) % 0.14/0.39 (assume @p88 (forall (@list @t4 @t6 @t17) (or (not @t72) @t87))) % 0.14/0.39 (assume @p89 (forall @t88 (or @t77 @t87))) % 0.14/0.39 (assume @p90 (forall @t49 (or @t74 @t87))) % 0.14/0.39 (assume @p91 (forall @t63 (or @t89 (tptp.colinear @t4 @t6 @t17)))) % 0.14/0.39 (assume @p92 (forall @t63 (or @t89 (tptp.colinear @t6 @t4 @t17)))) % 0.14/0.39 (assume @p93 (forall @t63 (or @t89 (tptp.colinear @t17 @t4 @t6)))) % 0.14/0.39 (assume @p94 (forall @t63 (or @t89 (tptp.colinear @t4 @t17 @t6)))) % 0.14/0.39 (assume @p95 (forall @t63 (or @t89 (tptp.colinear @t6 @t17 @t4)))) % 0.14/0.39 (assume @p96 (not (tptp.colinear tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 0.14/0.39 (assume @p97 (or @t96 @t94 @t92 @t90)) % 0.14/0.39 (assume @p98 (or @t96 @t94 @t92 @t98)) % 0.14/0.39 (step @p99 :rule instantiate :premises (@p49) :args ((@list tptp.y tptp.x))) % 0.14/0.39 (step @p100 :rule instantiate :premises (@p19) :args (@t99)) % 0.14/0.39 (step @p101 :rule cnf_or_pos :args (@t102)) % 0.14/0.39 (step @p102 :rule reordering :premises (@p101) :args ((or @t91 @t101 (not @t102)))) % 0.14/0.39 (step @p103 :rule chain_m_resolution :premises (@p102 @p99 @p100) :args (@t91 @t103 (@list @t100 @t102))) % 0.14/0.39 (step @p104 :rule instantiate :premises (@p20) :args (@t99)) % 0.14/0.39 (step @p105 :rule cnf_or_pos :args (@t104)) % 0.14/0.39 (step @p106 :rule reordering :premises (@p105) :args ((or @t93 @t101 (not @t104)))) % 0.14/0.39 (step @p107 :rule chain_m_resolution :premises (@p106 @p99 @p104) :args (@t93 @t103 (@list @t100 @t104))) % 0.14/0.39 (step @p108 :rule instantiate :premises (@p21) :args (@t99)) % 0.14/0.39 (step @p109 :rule cnf_or_pos :args (@t105)) % 0.14/0.39 (step @p110 :rule reordering :premises (@p109) :args ((or @t95 @t101 (not @t105)))) % 0.14/0.39 (step @p111 :rule chain_m_resolution :premises (@p110 @p99 @p108) :args (@t95 @t103 (@list @t100 @t105))) % 0.14/0.39 (step @p112 :rule chain_m_resolution :premises (@p97 @p111 @p107 @p103) :args (@t90 @t106 @t107)) % 0.14/0.39 (step @p113 :rule aci_norm :args ((= (or @t109 false @t108) (or @t109 @t108)))) % 0.14/0.39 (step @p114 :rule refl :args (@t108)) % 0.14/0.39 (step @p115 :rule evaluate :args ((not true))) % 0.14/0.39 (step @p116 :rule eq-refl :args (@t17)) % 0.14/0.39 (step @p117 :rule cong :premises (@p116) :args (@t110)) % 0.14/0.39 (step @p118 :rule trans :premises (@p117 @p115)) % 0.14/0.39 (step @p119 :rule refl :args (@t109)) % 0.14/0.39 (step @p120 :rule nary_cong :premises (@p119 @p118 @p114) :args (@t111)) % 0.14/0.39 (step @p121 :rule trans :premises (@p120 @p113)) % 0.14/0.39 (step @p122 :rule cong :premises (@p121) :args ((forall @t88 @t111))) % 0.14/0.39 (step @p123 :rule quant-var-elim-eq :args ((= (forall @t114 @t113) @t111))) % 0.14/0.39 (step @p124 :rule aci_norm :args ((= @t115 @t113))) % 0.14/0.39 (step @p125 :rule cong :premises (@p124) :args (@t116)) % 0.14/0.39 (step @p126 :rule trans :premises (@p125 @p123)) % 0.14/0.39 (step @p127 :rule cong :premises (@p126) :args (@t117)) % 0.14/0.39 (step @p128 :rule quant-merge-prenex :args ((= @t117 @t118))) % 0.14/0.39 (step @p129 :rule symm :premises (@p128)) % 0.14/0.39 (step @p130 :rule quant_var_reordering :args ((= (forall @t70 @t115) @t118))) % 0.14/0.39 (step @p131 :rule trans :premises (@p130 @p129 @p127)) % 0.14/0.39 (step @p132 :rule trans :premises (@p131 @p122)) % 0.14/0.39 (step @p133 :rule refl :args (@t27)) % 0.14/0.39 (step @p134 :rule eq-symm :args (@t17 @t1)) % 0.14/0.39 (step @p135 :rule cong :premises (@p134) :args (@t66)) % 0.14/0.39 (step @p136 :rule refl :args (@t68)) % 0.14/0.39 (step @p137 :rule nary_cong :premises (@p136 @p135 @p133) :args (@t69)) % 0.14/0.39 (step @p138 :rule cong :premises (@p137) :args (@t71)) % 0.14/0.39 (step @p139 :rule trans :premises (@p138 @p132)) % 0.14/0.39 (step @p140 :rule eq_resolve :premises (@p50 @p139)) % 0.14/0.39 (step @p141 :rule instantiate :premises (@p140) :args ((@list tptp.y tptp.x tptp.z))) % 0.14/0.39 (step @p142 :rule instantiate :premises (@p90) :args ((@list tptp.z tptp.x tptp.y))) % 0.14/0.39 (step @p143 :rule chain_m_resolution :premises (@p98 @p111 @p107 @p103) :args (@t98 @t106 @t107)) % 0.14/0.39 (step @p144 :rule cnf_or_pos :args (@t121)) % 0.14/0.39 (step @p145 :rule reordering :premises (@p144) :args ((or @t97 @t120 (not @t121)))) % 0.14/0.39 (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p142) :args (@t120 @t122 (@list @t97 @t121))) % 0.14/0.39 (step @p147 :rule cnf_or_pos :args (@t125)) % 0.14/0.39 (step @p148 :rule reordering :premises (@p147) :args ((or @t119 @t124 (not @t125)))) % 0.14/0.39 (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p141) :args (@t124 @t122 (@list @t119 @t125))) % 0.14/0.39 (assume-push @p166 @t90) % 0.14/0.39 (assume-push @p167 @t100) % 0.14/0.39 (step @p152 :rule true_intro :premises (@p99)) % 0.14/0.39 (step @p153 :rule symm :premises (@p112)) % 0.14/0.39 (step @p154 :rule refl :args (tptp.x)) % 0.14/0.39 (step @p155 :rule refl :args (tptp.y)) % 0.14/0.39 (step @p156 :rule cong :premises (@p155 @p154 @p153) :args (@t123)) % 0.14/0.39 (step @p157 :rule trans :premises (@p156 @p152)) % 0.14/0.39 (step @p158 :rule true_elim :premises (@p157)) % 0.14/0.39 (step-pop @p168 :rule scope :premises (@p158)) % 0.14/0.39 (step-pop @p169 :rule scope :premises (@p168)) % 0.14/0.39 (step @p159 :rule process_scope :premises (@p169) :args (@t123)) % 0.14/0.39 (step @p162 :rule implies_elim :premises (@p159)) % 0.14/0.39 (step @p163 :rule cnf_and_neg :args (@t126)) % 0.14/0.39 (step @p164 :rule resolution :premises (@p163 @p162) :args (true @t126)) % 0.14/0.39 (step @p165 false :rule chain_m_resolution :premises (@p164 @p149 @p112 @p99) :args (false (@list true false false) (@list @t123 @t90 @t100))) % 0.14/0.39 ) % 0.14/0.39 % SZS output end Proof % 0.14/0.39 % cvc5 exiting %------------------------------------------------------------------------------