%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO118-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:16:24 AM UTC 2026 % Result : Unsatisfiable 0.50s 0.71s % Output : Proof 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO118-1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 23:25:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.50/0.71 % SZS status Unsatisfiable % 0.50/0.71 % SZS output start Proof % 0.50/0.71 ( % 0.50/0.71 (declare-sort $$unsorted 0) % 0.50/0.71 (declare-const tptp.sk26 $$unsorted) % 0.50/0.71 (declare-const tptp.ax2_sk10 (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.underlying_curve (-> $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.ax2_sk8 (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.ax2_sk9 (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.ax2_sk3 (-> $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.ax2_sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.closed (-> $$unsorted Bool)) % 0.50/0.71 (declare-const tptp.ax0_sk13 (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 0.50/0.71 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 0.50/0.71 (declare-const tptp.sk25 $$unsorted) % 0.50/0.71 (declare-const tptp.ax2_sk7 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 0.50/0.71 (declare-const tptp.ordered_by (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.71 (declare-const tptp.ax2_sk4 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.ax0_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.ax0_sk8 (-> $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.start_point (-> $$unsorted $$unsorted Bool)) % 0.50/0.71 (declare-const tptp.ax0_sk6 (-> $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.ax0_sk4 (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.71 (declare-const tptp.open (-> $$unsorted Bool)) % 0.50/0.71 (declare-const tptp.incident_o (-> $$unsorted $$unsorted Bool)) % 0.50/0.71 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.ax0_sk3 (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.sk27 $$unsorted) % 0.50/0.71 (declare-const tptp.ax0_sk12 (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 0.50/0.71 (declare-const tptp.ax2_sk2 (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.ax0_sk2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.ax0_sk7 (-> $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.ax0_sk10 (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.ax0_sk9 (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.ax0_sk11 (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.ax0_sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.between_c (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.71 (declare-const tptp.ax2_sk6 (-> $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.between_o (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.71 (declare-const tptp.ax1_sk1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.ax2_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.71 (declare-const tptp.finish_point (-> $$unsorted $$unsorted Bool)) % 0.50/0.71 (define @t1 () (@var "B" $$unsorted)) % 0.50/0.71 (define @t2 () (@var "C" $$unsorted)) % 0.50/0.71 (define @t3 () (@var "A" $$unsorted)) % 0.50/0.71 (define @t4 () (tptp.incident_c @t2 @t3)) % 0.50/0.71 (define @t5 () (not @t4)) % 0.50/0.71 (define @t6 () (tptp.part_of @t3 @t1)) % 0.50/0.71 (define @t7 () (not @t6)) % 0.50/0.71 (define @t8 () (@list @t3 @t1 @t2)) % 0.50/0.71 (define @t9 () (tptp.ax0_sk1 @t3 @t1)) % 0.50/0.71 (define @t10 () (@list @t3 @t1)) % 0.50/0.71 (define @t11 () (@var "D" $$unsorted)) % 0.50/0.71 (define @t12 () (tptp.incident_c @t11 @t2)) % 0.50/0.71 (define @t13 () (tptp.incident_c @t11 @t1)) % 0.50/0.71 (define @t14 () (tptp.incident_c @t11 @t3)) % 0.50/0.71 (define @t15 () (not @t14)) % 0.50/0.71 (define @t16 () (tptp.sum @t1 @t2)) % 0.50/0.71 (define @t17 () (not (= @t3 @t16))) % 0.50/0.71 (define @t18 () (@list @t3 @t1 @t2 @t11)) % 0.50/0.71 (define @t19 () (not @t13)) % 0.50/0.71 (define @t20 () (not @t12)) % 0.50/0.71 (define @t21 () (= @t2 (tptp.sum @t1 @t3))) % 0.50/0.71 (define @t22 () (tptp.ax0_sk2 @t3 @t1 @t2)) % 0.50/0.71 (define @t23 () (tptp.incident_c @t22 @t3)) % 0.50/0.71 (define @t24 () (tptp.incident_c @t22 @t1)) % 0.50/0.71 (define @t25 () (tptp.incident_c @t22 @t2)) % 0.50/0.71 (define @t26 () (not @t25)) % 0.50/0.71 (define @t27 () (not @t24)) % 0.50/0.71 (define @t28 () (not @t23)) % 0.50/0.71 (define @t29 () (tptp.incident_c @t3 @t1)) % 0.50/0.71 (define @t30 () (tptp.end_point @t3 @t1)) % 0.50/0.71 (define @t31 () (not @t30)) % 0.50/0.71 (define @t32 () (tptp.part_of @t11 @t2)) % 0.50/0.71 (define @t33 () (tptp.part_of @t2 @t11)) % 0.50/0.71 (define @t34 () (tptp.incident_c @t3 @t2)) % 0.50/0.71 (define @t35 () (not @t34)) % 0.50/0.71 (define @t36 () (not (tptp.part_of @t11 @t1))) % 0.50/0.71 (define @t37 () (not (tptp.part_of @t2 @t1))) % 0.50/0.71 (define @t38 () (tptp.ax0_sk3 @t1 @t3)) % 0.50/0.71 (define @t39 () (not @t29)) % 0.50/0.71 (define @t40 () (tptp.ax0_sk4 @t1 @t3)) % 0.50/0.71 (define @t41 () (tptp.inner_point @t3 @t1)) % 0.50/0.71 (define @t42 () (not @t41)) % 0.50/0.71 (define @t43 () (tptp.meet @t3 @t1 @t2)) % 0.50/0.71 (define @t44 () (not @t43)) % 0.50/0.71 (define @t45 () (tptp.end_point @t11 @t1)) % 0.50/0.71 (define @t46 () (tptp.ax0_sk5 @t2 @t1 @t3)) % 0.50/0.71 (define @t47 () (tptp.closed @t3)) % 0.50/0.71 (define @t48 () (not @t47)) % 0.50/0.71 (define @t49 () (@list @t3)) % 0.50/0.71 (define @t50 () (tptp.open @t3)) % 0.50/0.71 (define @t51 () (not @t50)) % 0.50/0.71 (define @t52 () (= @t3 @t1)) % 0.50/0.71 (define @t53 () (@var "E" $$unsorted)) % 0.50/0.71 (define @t54 () (not (tptp.end_point @t53 @t2))) % 0.50/0.71 (define @t55 () (@list @t3 @t1 @t2 @t11 @t53)) % 0.50/0.71 (define @t56 () (tptp.ax0_sk10 @t3 @t1)) % 0.50/0.71 (define @t57 () (tptp.ax0_sk9 @t3 @t1)) % 0.50/0.71 (define @t58 () (= @t3 @t2)) % 0.50/0.71 (define @t59 () (tptp.ax0_sk11 @t3 @t1)) % 0.50/0.71 (define @t60 () (= @t1 @t3)) % 0.50/0.71 (define @t61 () (tptp.ax0_sk13 @t3 @t1)) % 0.50/0.71 (define @t62 () (tptp.incident_c @t61 @t3)) % 0.50/0.71 (define @t63 () (tptp.incident_c @t61 @t1)) % 0.50/0.71 (define @t64 () (not @t63)) % 0.50/0.71 (define @t65 () (not @t62)) % 0.50/0.71 (define @t66 () (not (= @t1 @t11))) % 0.50/0.71 (define @t67 () (not (tptp.between_c @t3 @t1 @t2 @t11))) % 0.50/0.71 (define @t68 () (or @t67 @t66)) % 0.50/0.71 (define @t69 () (forall @t18 @t68)) % 0.50/0.71 (define @t70 () (tptp.ax1_sk1 @t11 @t2 @t1 @t3)) % 0.50/0.71 (define @t71 () (tptp.ordered_by @t3 @t11 @t2)) % 0.50/0.71 (define @t72 () (tptp.ordered_by @t3 @t1 @t2)) % 0.50/0.71 (define @t73 () (tptp.between_o @t3 @t1 @t2 @t11)) % 0.50/0.71 (define @t74 () (not @t73)) % 0.50/0.71 (define @t75 () (tptp.ordered_by @t3 @t2 @t1)) % 0.50/0.71 (define @t76 () (tptp.ordered_by @t3 @t2 @t11)) % 0.50/0.71 (define @t77 () (not @t76)) % 0.50/0.71 (define @t78 () (not @t72)) % 0.50/0.71 (define @t79 () (tptp.incident_o @t3 @t1)) % 0.50/0.71 (define @t80 () (tptp.start_point @t3 @t1)) % 0.50/0.71 (define @t81 () (not @t80)) % 0.50/0.71 (define @t82 () (tptp.incident_o @t2 @t1)) % 0.50/0.71 (define @t83 () (not @t82)) % 0.50/0.71 (define @t84 () (tptp.ax2_sk1 @t1 @t3)) % 0.50/0.71 (define @t85 () (not @t79)) % 0.50/0.71 (define @t86 () (tptp.finish_point @t3 @t1)) % 0.50/0.71 (define @t87 () (not @t86)) % 0.50/0.71 (define @t88 () (tptp.ax2_sk2 @t1 @t3)) % 0.50/0.71 (define @t89 () (tptp.incident_c @t3 (tptp.ax2_sk3 @t1))) % 0.50/0.71 (define @t90 () (tptp.ax2_sk4 @t3 @t11 @t2 @t1)) % 0.50/0.71 (define @t91 () (tptp.incident_c @t53 @t90)) % 0.50/0.71 (define @t92 () (tptp.incident_o @t53 @t3)) % 0.50/0.71 (define @t93 () (tptp.between_o @t1 @t53 @t11 @t2)) % 0.50/0.71 (define @t94 () (not (tptp.between_c @t3 @t53 @t11 @t2))) % 0.50/0.71 (define @t95 () (tptp.ax2_sk5 @t3 @t1 @t2 @t11 @t53)) % 0.50/0.71 (define @t96 () (tptp.incident_c @t95 @t3)) % 0.50/0.71 (define @t97 () (tptp.incident_o @t95 @t1)) % 0.50/0.71 (define @t98 () (not @t97)) % 0.50/0.71 (define @t99 () (not @t96)) % 0.50/0.71 (define @t100 () (tptp.ax2_sk7 @t3 @t2 @t1)) % 0.50/0.71 (define @t101 () (tptp.incident_o @t11 @t100)) % 0.50/0.71 (define @t102 () (not (tptp.incident_c @t1 @t3))) % 0.50/0.71 (define @t103 () (= @t1 @t2)) % 0.50/0.71 (define @t104 () (tptp.ax2_sk9 @t1 @t3)) % 0.50/0.71 (define @t105 () (tptp.ax2_sk8 @t1 @t3)) % 0.50/0.71 (define @t106 () (tptp.ordered_by @t3 @t105 @t104)) % 0.50/0.71 (define @t107 () (tptp.ax2_sk9 @t3 @t1)) % 0.50/0.71 (define @t108 () (tptp.ax2_sk8 @t3 @t1)) % 0.50/0.71 (define @t109 () (tptp.ordered_by @t3 @t108 @t107)) % 0.50/0.71 (define @t110 () (not @t109)) % 0.50/0.71 (define @t111 () (not (= @t3 (tptp.underlying_curve @t1)))) % 0.50/0.71 (define @t112 () (= @t1 (tptp.underlying_curve @t3))) % 0.50/0.71 (define @t113 () (tptp.ax2_sk10 @t3 @t1)) % 0.50/0.71 (define @t114 () (tptp.incident_c @t113 @t1)) % 0.50/0.71 (define @t115 () (tptp.incident_o @t113 @t3)) % 0.50/0.71 (define @t116 () (not @t115)) % 0.50/0.71 (define @t117 () (not @t114)) % 0.50/0.71 (define @t118 () (tptp.ordered_by tptp.sk25 tptp.sk26 tptp.sk27)) % 0.50/0.71 (define @t119 () (tptp.ordered_by tptp.sk25 tptp.sk27 tptp.sk26)) % 0.50/0.71 (define @t120 () (not (tptp.between_c @t3 @t11 @t2 @t11))) % 0.50/0.71 (define @t121 () (not (= @t11 @t11))) % 0.50/0.71 (define @t122 () (or @t120 @t121)) % 0.50/0.71 (define @t123 () (@list @t3 @t2 @t11)) % 0.50/0.71 (define @t124 () (or @t66 @t67 @t66)) % 0.50/0.71 (define @t125 () (@list @t1)) % 0.50/0.71 (define @t126 () (forall @t125 @t68)) % 0.50/0.71 (define @t127 () (forall @t123 @t126)) % 0.50/0.71 (define @t128 () (forall (@list @t3 @t2 @t11 @t1) @t68)) % 0.50/0.71 (define @t129 () (@list tptp.sk25 tptp.sk27 tptp.sk26 tptp.sk27)) % 0.50/0.71 (define @t130 () (tptp.between_o tptp.sk25 tptp.sk27 tptp.sk26 tptp.sk27)) % 0.50/0.71 (define @t131 () (not @t118)) % 0.50/0.71 (define @t132 () (not @t119)) % 0.50/0.71 (define @t133 () (or @t132 @t131 @t130)) % 0.50/0.71 (define @t134 () (tptp.ax2_sk4 tptp.sk25 tptp.sk27 tptp.sk26 tptp.sk27)) % 0.50/0.71 (define @t135 () (tptp.between_c @t134 tptp.sk27 tptp.sk26 tptp.sk27)) % 0.50/0.71 (define @t136 () (not @t130)) % 0.50/0.71 (define @t137 () (or @t136 @t135)) % 0.50/0.71 (define @t138 () (@list false false)) % 0.50/0.71 (define @t139 () (forall @t123 @t120)) % 0.50/0.71 (assume @p1 (forall @t8 (or @t7 @t5 (tptp.incident_c @t2 @t1)))) % 0.50/0.71 (assume @p2 (forall @t10 (or (tptp.incident_c @t9 @t3) @t6))) % 0.50/0.71 (assume @p3 (forall @t10 (or (not (tptp.incident_c @t9 @t1)) @t6))) % 0.50/0.71 (assume @p4 (forall @t18 (or @t17 @t15 @t13 @t12))) % 0.50/0.71 (assume @p5 (forall @t18 (or @t17 @t19 @t14))) % 0.50/0.71 (assume @p6 (forall @t18 (or @t17 @t20 @t14))) % 0.50/0.71 (assume @p7 (forall @t8 (or @t25 @t24 @t23 @t21))) % 0.50/0.71 (assume @p8 (forall @t8 (or @t25 @t26 @t21))) % 0.50/0.71 (assume @p9 (forall @t8 (or @t27 @t24 @t23 @t21))) % 0.50/0.71 (assume @p10 (forall @t8 (or @t28 @t24 @t23 @t21))) % 0.50/0.71 (assume @p11 (forall @t8 (or @t27 @t26 @t21))) % 0.50/0.71 (assume @p12 (forall @t8 (or @t28 @t26 @t21))) % 0.50/0.71 (assume @p13 (forall @t10 (or @t31 @t29))) % 0.50/0.71 (assume @p14 (forall @t18 (or @t31 @t37 @t36 @t35 (not (tptp.incident_c @t3 @t11)) @t33 @t32))) % 0.50/0.71 (assume @p15 (forall @t10 (or @t39 (tptp.part_of @t38 @t1) @t30))) % 0.50/0.71 (assume @p16 (forall @t10 (or @t39 (tptp.part_of @t40 @t1) @t30))) % 0.50/0.71 (assume @p17 (forall @t10 (or @t39 (tptp.incident_c @t3 @t38) @t30))) % 0.50/0.71 (assume @p18 (forall @t10 (or @t39 (tptp.incident_c @t3 @t40) @t30))) % 0.50/0.71 (assume @p19 (forall @t10 (or @t39 (not (tptp.part_of @t38 @t40)) @t30))) % 0.50/0.71 (assume @p20 (forall @t10 (or @t39 (not (tptp.part_of @t40 @t38)) @t30))) % 0.50/0.71 (assume @p21 (forall @t10 (or @t42 @t29))) % 0.50/0.71 (assume @p22 (forall @t10 (or @t42 @t31))) % 0.50/0.71 (assume @p23 (forall @t10 (or @t39 @t30 @t41))) % 0.50/0.71 (assume @p24 (forall @t8 (or @t44 @t29))) % 0.50/0.71 (assume @p25 (forall @t8 (or @t44 @t34))) % 0.50/0.71 (assume @p26 (forall @t18 (or @t44 @t19 @t20 @t45))) % 0.50/0.71 (assume @p27 (forall @t18 (or @t44 @t19 @t20 (tptp.end_point @t11 @t2)))) % 0.50/0.71 (assume @p28 (forall @t8 (or @t39 @t35 (tptp.incident_c @t46 @t1) @t43))) % 0.50/0.71 (assume @p29 (forall @t8 (or @t39 @t35 (tptp.incident_c @t46 @t2) @t43))) % 0.50/0.71 (assume @p30 (forall @t8 (or @t39 @t35 (not (tptp.end_point @t46 @t1)) (not (tptp.end_point @t46 @t2)) @t43))) % 0.50/0.71 (assume @p31 (forall @t10 (or @t48 (not (tptp.end_point @t1 @t3))))) % 0.50/0.71 (assume @p32 (forall @t49 (or (tptp.end_point (tptp.ax0_sk6 @t3) @t3) @t47))) % 0.50/0.71 (assume @p33 (forall @t49 (or @t51 (tptp.end_point (tptp.ax0_sk7 @t3) @t3)))) % 0.50/0.71 (assume @p34 (forall @t10 (or @t31 (tptp.open @t1)))) % 0.50/0.71 (assume @p35 (forall @t10 (or @t7 @t52 @t50))) % 0.50/0.71 (assume @p36 (forall @t55 (or @t7 @t37 @t36 (not (tptp.end_point @t53 @t3)) @t54 (not (tptp.end_point @t53 @t11)) @t33 @t32 (tptp.part_of @t3 @t2) (tptp.part_of @t2 @t3) (tptp.part_of @t3 @t11) (tptp.part_of @t11 @t3)))) % 0.50/0.71 (assume @p37 (forall @t49 (tptp.inner_point (tptp.ax0_sk8 @t3) @t3))) % 0.50/0.71 (assume @p38 (forall @t10 (or @t42 (tptp.meet @t3 @t57 @t56)))) % 0.50/0.71 (assume @p39 (forall @t10 (or @t42 (= @t1 (tptp.sum @t57 @t56))))) % 0.50/0.71 (assume @p40 (forall @t18 (or @t31 (not (tptp.end_point @t2 @t1)) (not @t45) @t58 (= @t3 @t11) (= @t2 @t11)))) % 0.50/0.71 (assume @p41 (forall @t10 (or @t31 (tptp.end_point @t59 @t1)))) % 0.50/0.71 (assume @p42 (forall @t10 (or @t31 (not (= @t3 @t59))))) % 0.50/0.71 (assume @p43 (forall @t55 (or @t48 (not (tptp.meet @t1 @t2 @t11)) (not (= @t3 (tptp.sum @t2 @t11))) @t54 (tptp.meet @t53 @t2 @t11)))) % 0.50/0.71 (assume @p44 (forall @t8 (or @t44 (= (tptp.ax0_sk12 @t2 @t1) @t16)))) % 0.50/0.71 (assume @p45 (forall @t10 (or @t63 @t62 @t60))) % 0.50/0.71 (assume @p46 (forall @t10 (or @t63 @t64 @t60))) % 0.50/0.71 (assume @p47 (forall @t10 (or @t65 @t62 @t60))) % 0.50/0.71 (assume @p48 (forall @t10 (or @t65 @t64 @t60))) % 0.50/0.71 (assume @p49 @t69) % 0.50/0.71 (assume @p50 (forall @t18 (or @t67 (tptp.part_of @t70 @t3)))) % 0.50/0.71 (assume @p51 (forall @t18 (or @t67 (tptp.end_point @t1 @t70)))) % 0.50/0.71 (assume @p52 (forall @t18 (or @t67 (tptp.end_point @t11 @t70)))) % 0.50/0.71 (assume @p53 (forall @t18 (or @t67 (tptp.inner_point @t2 @t70)))) % 0.50/0.71 (assume @p54 (forall @t55 (or @t52 (not @t33) (not (tptp.end_point @t3 @t2)) (not (tptp.end_point @t1 @t2)) (not (tptp.inner_point @t53 @t2)) (tptp.between_c @t11 @t3 @t53 @t1)))) % 0.50/0.71 (assume @p55 (forall @t18 (or @t74 @t72 @t71))) % 0.50/0.71 (assume @p56 (forall @t18 (or @t74 @t72 @t75))) % 0.50/0.71 (assume @p57 (forall @t18 (or @t74 @t76 @t71))) % 0.50/0.71 (assume @p58 (forall @t18 (or @t74 @t76 @t75))) % 0.50/0.71 (assume @p59 (forall @t18 (or @t78 @t77 @t73))) % 0.50/0.71 (assume @p60 (forall @t18 (or @t78 @t77 (tptp.between_o @t3 @t11 @t2 @t1)))) % 0.50/0.71 (assume @p61 (forall @t10 (or @t81 @t79))) % 0.50/0.71 (assume @p62 (forall @t8 (or @t81 @t58 @t83 (tptp.ordered_by @t1 @t3 @t2)))) % 0.50/0.71 (assume @p63 (forall @t10 (or @t85 (not (= @t3 @t84)) @t80))) % 0.50/0.71 (assume @p64 (forall @t10 (or @t85 (tptp.incident_o @t84 @t1) @t80))) % 0.50/0.71 (assume @p65 (forall @t10 (or @t85 (not (tptp.ordered_by @t1 @t3 @t84)) @t80))) % 0.50/0.71 (assume @p66 (forall @t10 (or @t87 @t79))) % 0.50/0.71 (assume @p67 (forall @t8 (or @t87 @t58 @t83 (tptp.ordered_by @t1 @t2 @t3)))) % 0.50/0.71 (assume @p68 (forall @t10 (or @t85 (not (= @t3 @t88)) @t86))) % 0.50/0.71 (assume @p69 (forall @t10 (or @t85 (tptp.incident_o @t88 @t1) @t86))) % 0.50/0.71 (assume @p70 (forall @t10 (or @t85 (not (tptp.ordered_by @t1 @t88 @t3)) @t86))) % 0.50/0.71 (assume @p71 (forall @t8 (or @t78 (tptp.incident_o @t1 @t3)))) % 0.50/0.71 (assume @p72 (forall @t8 (or @t78 (tptp.incident_o @t2 @t3)))) % 0.50/0.71 (assume @p73 (forall @t49 (tptp.open (tptp.ax2_sk3 @t3)))) % 0.50/0.71 (assume @p74 (forall @t10 (or @t85 @t89))) % 0.50/0.71 (assume @p75 (forall @t10 (or (not @t89) @t79))) % 0.50/0.71 (assume @p76 (forall @t55 (or @t74 (not @t92) @t91))) % 0.50/0.71 (assume @p77 (forall @t55 (or @t74 (not @t91) @t92))) % 0.50/0.71 (assume @p78 (forall @t18 (or @t74 (tptp.between_c @t90 @t1 @t2 @t11)))) % 0.50/0.71 (assume @p79 (forall @t55 (or @t97 @t96 @t94 @t93))) % 0.50/0.71 (assume @p80 (forall @t55 (or @t97 @t98 @t94 @t93))) % 0.50/0.71 (assume @p81 (forall @t55 (or @t99 @t96 @t94 @t93))) % 0.50/0.71 (assume @p82 (forall @t55 (or @t99 @t98 @t94 @t93))) % 0.50/0.71 (assume @p83 (forall @t49 (tptp.start_point (tptp.ax2_sk6 @t3) @t3))) % 0.50/0.71 (assume @p84 (forall @t18 (or @t51 @t103 @t102 @t5 (not @t101) @t14))) % 0.50/0.71 (assume @p85 (forall @t18 (or @t51 @t103 @t102 @t5 @t15 @t101))) % 0.50/0.71 (assume @p86 (forall @t8 (or @t51 @t103 @t102 @t5 (tptp.ordered_by @t100 @t1 @t2)))) % 0.50/0.71 (assume @p87 (forall @t10 (or @t106 (tptp.ordered_by @t1 @t105 @t104) @t52))) % 0.50/0.71 (assume @p88 (forall @t10 (or @t106 (not @t106) @t52))) % 0.50/0.71 (assume @p89 (forall @t10 (or @t110 @t109 @t60))) % 0.50/0.71 (assume @p90 (forall @t10 (or @t110 (not (tptp.ordered_by @t1 @t108 @t107)) @t60))) % 0.50/0.71 (assume @p91 (forall @t8 (or @t111 @t83 @t4))) % 0.50/0.71 (assume @p92 (forall @t8 (or @t111 @t5 @t82))) % 0.50/0.71 (assume @p93 (forall @t10 (or @t115 @t114 @t112))) % 0.50/0.71 (assume @p94 (forall @t10 (or @t115 @t116 @t112))) % 0.50/0.71 (assume @p95 (forall @t10 (or @t117 @t114 @t112))) % 0.50/0.71 (assume @p96 (forall @t10 (or @t117 @t116 @t112))) % 0.50/0.71 (assume @p97 @t118) % 0.50/0.71 (assume @p98 @t119) % 0.50/0.71 (step @p99 :rule aci_norm :args ((= (or @t120 false) @t120))) % 0.50/0.71 (step @p100 :rule evaluate :args ((not true))) % 0.50/0.71 (step @p101 :rule eq-refl :args (@t11)) % 0.50/0.71 (step @p102 :rule cong :premises (@p101) :args (@t121)) % 0.50/0.71 (step @p103 :rule trans :premises (@p102 @p100)) % 0.50/0.71 (step @p104 :rule refl :args (@t120)) % 0.50/0.71 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t122)) % 0.50/0.71 (step @p106 :rule trans :premises (@p105 @p99)) % 0.50/0.71 (step @p107 :rule cong :premises (@p106) :args ((forall @t123 @t122))) % 0.50/0.71 (step @p108 :rule quant-var-elim-eq :args ((= (forall @t125 @t124) @t122))) % 0.50/0.71 (step @p109 :rule aci_norm :args ((= @t68 @t124))) % 0.50/0.71 (step @p110 :rule cong :premises (@p109) :args (@t126)) % 0.50/0.71 (step @p111 :rule trans :premises (@p110 @p108)) % 0.50/0.71 (step @p112 :rule cong :premises (@p111) :args (@t127)) % 0.50/0.71 (step @p113 :rule quant-merge-prenex :args ((= @t127 @t128))) % 0.50/0.71 (step @p114 :rule symm :premises (@p113)) % 0.50/0.71 (step @p115 :rule quant_var_reordering :args ((= @t69 @t128))) % 0.50/0.71 (step @p116 :rule trans :premises (@p115 @p114 @p112)) % 0.50/0.71 (step @p117 :rule trans :premises (@p116 @p107)) % 0.50/0.71 (step @p118 :rule eq_resolve :premises (@p49 @p117)) % 0.50/0.71 (step @p119 :rule instantiate :premises (@p78) :args (@t129)) % 0.50/0.71 (step @p120 :rule instantiate :premises (@p59) :args (@t129)) % 0.50/0.71 (step @p121 :rule cnf_or_pos :args (@t133)) % 0.50/0.71 (step @p122 :rule reordering :premises (@p121) :args ((or @t131 @t132 @t130 (not @t133)))) % 0.50/0.71 (step @p123 :rule chain_m_resolution :premises (@p122 @p97 @p98 @p120) :args (@t130 (@list false false false) (@list @t118 @t119 @t133))) % 0.50/0.71 (step @p124 :rule cnf_or_pos :args (@t137)) % 0.50/0.71 (step @p125 :rule reordering :premises (@p124) :args ((or @t136 @t135 (not @t137)))) % 0.50/0.71 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p119) :args (@t135 @t138 (@list @t130 @t137))) % 0.50/0.71 (assume-push @p133 @t139) % 0.50/0.71 (step @p128 :rule instantiate :premises (@p118) :args ((@list @t134 tptp.sk26 tptp.sk27))) % 0.50/0.71 (step-pop @p134 :rule scope :premises (@p128)) % 0.50/0.71 (step @p129 :rule process_scope :premises (@p134) :args ((not @t135))) % 0.50/0.71 (step @p131 :rule implies_elim :premises (@p129)) % 0.50/0.71 (step @p132 false :rule chain_m_resolution :premises (@p131 @p126 @p118) :args (false @t138 (@list @t135 @t139))) % 0.50/0.71 ) % 0.50/0.72 % SZS output end Proof % 0.50/0.72 % cvc5 exiting %------------------------------------------------------------------------------