%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO125-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:16:25 AM UTC 2026 % Result : Unsatisfiable 1.02s 1.22s % Output : Proof 1.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO125-1 : TPTP v9.2.1. Released v2.4.0. % 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 : n002.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 23:27:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.02/1.22 % SZS status Unsatisfiable % 1.02/1.22 % SZS output start Proof % 1.02/1.23 ( % 1.02/1.23 (declare-sort $$unsorted 0) % 1.02/1.23 (declare-const tptp.sk27 $$unsorted) % 1.02/1.23 (declare-const tptp.sk25 $$unsorted) % 1.02/1.23 (declare-const tptp.ax2_sk10 (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.underlying_curve (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.ax2_sk8 (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.ax2_sk9 (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.ax2_sk3 (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.ax2_sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.closed (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.ax0_sk13 (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.sk26 $$unsorted) % 1.02/1.23 (declare-const tptp.ax2_sk7 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.ordered_by (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.ax2_sk4 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.ax0_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.ax0_sk8 (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.start_point (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.ax0_sk6 (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.ax0_sk4 (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.open (-> $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.incident_o (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.ax0_sk3 (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.ax0_sk12 (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.ax2_sk2 (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.ax0_sk2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.ax0_sk7 (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.ax0_sk10 (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.ax0_sk9 (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.ax0_sk11 (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.ax0_sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.between_c (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.ax2_sk6 (-> $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.between_o (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.23 (declare-const tptp.ax1_sk1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.ax2_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.23 (declare-const tptp.finish_point (-> $$unsorted $$unsorted Bool)) % 1.02/1.23 (define @t1 () (@var "B" $$unsorted)) % 1.02/1.23 (define @t2 () (@var "C" $$unsorted)) % 1.02/1.23 (define @t3 () (@var "A" $$unsorted)) % 1.02/1.23 (define @t4 () (tptp.incident_c @t2 @t3)) % 1.02/1.23 (define @t5 () (not @t4)) % 1.02/1.23 (define @t6 () (tptp.part_of @t3 @t1)) % 1.02/1.23 (define @t7 () (not @t6)) % 1.02/1.23 (define @t8 () (@list @t3 @t1 @t2)) % 1.02/1.23 (define @t9 () (tptp.ax0_sk1 @t3 @t1)) % 1.02/1.23 (define @t10 () (@list @t3 @t1)) % 1.02/1.23 (define @t11 () (@var "D" $$unsorted)) % 1.02/1.23 (define @t12 () (tptp.incident_c @t11 @t2)) % 1.02/1.23 (define @t13 () (tptp.incident_c @t11 @t1)) % 1.02/1.23 (define @t14 () (tptp.incident_c @t11 @t3)) % 1.02/1.23 (define @t15 () (not @t14)) % 1.02/1.23 (define @t16 () (tptp.sum @t1 @t2)) % 1.02/1.23 (define @t17 () (not (= @t3 @t16))) % 1.02/1.23 (define @t18 () (@list @t3 @t1 @t2 @t11)) % 1.02/1.23 (define @t19 () (not @t13)) % 1.02/1.23 (define @t20 () (not @t12)) % 1.02/1.23 (define @t21 () (= @t2 (tptp.sum @t1 @t3))) % 1.02/1.23 (define @t22 () (tptp.ax0_sk2 @t3 @t1 @t2)) % 1.02/1.23 (define @t23 () (tptp.incident_c @t22 @t3)) % 1.02/1.23 (define @t24 () (tptp.incident_c @t22 @t1)) % 1.02/1.23 (define @t25 () (tptp.incident_c @t22 @t2)) % 1.02/1.23 (define @t26 () (not @t25)) % 1.02/1.23 (define @t27 () (not @t24)) % 1.02/1.23 (define @t28 () (not @t23)) % 1.02/1.23 (define @t29 () (tptp.incident_c @t3 @t1)) % 1.02/1.23 (define @t30 () (tptp.end_point @t3 @t1)) % 1.02/1.23 (define @t31 () (not @t30)) % 1.02/1.23 (define @t32 () (tptp.part_of @t11 @t2)) % 1.02/1.23 (define @t33 () (tptp.part_of @t2 @t11)) % 1.02/1.23 (define @t34 () (tptp.incident_c @t3 @t2)) % 1.02/1.23 (define @t35 () (not @t34)) % 1.02/1.23 (define @t36 () (not (tptp.part_of @t11 @t1))) % 1.02/1.23 (define @t37 () (not (tptp.part_of @t2 @t1))) % 1.02/1.23 (define @t38 () (tptp.ax0_sk3 @t1 @t3)) % 1.02/1.23 (define @t39 () (not @t29)) % 1.02/1.23 (define @t40 () (tptp.ax0_sk4 @t1 @t3)) % 1.02/1.23 (define @t41 () (tptp.inner_point @t3 @t1)) % 1.02/1.23 (define @t42 () (not @t41)) % 1.02/1.23 (define @t43 () (tptp.meet @t3 @t1 @t2)) % 1.02/1.23 (define @t44 () (not @t43)) % 1.02/1.23 (define @t45 () (tptp.end_point @t11 @t1)) % 1.02/1.23 (define @t46 () (tptp.ax0_sk5 @t2 @t1 @t3)) % 1.02/1.23 (define @t47 () (tptp.closed @t3)) % 1.02/1.23 (define @t48 () (not @t47)) % 1.02/1.23 (define @t49 () (@list @t3)) % 1.02/1.23 (define @t50 () (tptp.open @t3)) % 1.02/1.23 (define @t51 () (not @t50)) % 1.02/1.23 (define @t52 () (= @t3 @t1)) % 1.02/1.23 (define @t53 () (@var "E" $$unsorted)) % 1.02/1.23 (define @t54 () (not (tptp.end_point @t53 @t2))) % 1.02/1.23 (define @t55 () (@list @t3 @t1 @t2 @t11 @t53)) % 1.02/1.23 (define @t56 () (tptp.ax0_sk10 @t3 @t1)) % 1.02/1.23 (define @t57 () (tptp.ax0_sk9 @t3 @t1)) % 1.02/1.23 (define @t58 () (= @t3 @t2)) % 1.02/1.23 (define @t59 () (tptp.ax0_sk11 @t3 @t1)) % 1.02/1.23 (define @t60 () (= @t1 @t3)) % 1.02/1.23 (define @t61 () (tptp.ax0_sk13 @t3 @t1)) % 1.02/1.23 (define @t62 () (tptp.incident_c @t61 @t3)) % 1.02/1.23 (define @t63 () (tptp.incident_c @t61 @t1)) % 1.02/1.23 (define @t64 () (not @t63)) % 1.02/1.23 (define @t65 () (not @t62)) % 1.02/1.23 (define @t66 () (not (= @t1 @t11))) % 1.02/1.23 (define @t67 () (not (tptp.between_c @t3 @t1 @t2 @t11))) % 1.02/1.23 (define @t68 () (or @t67 @t66)) % 1.02/1.23 (define @t69 () (forall @t18 @t68)) % 1.02/1.23 (define @t70 () (tptp.ax1_sk1 @t11 @t2 @t1 @t3)) % 1.02/1.23 (define @t71 () (tptp.ordered_by @t3 @t11 @t2)) % 1.02/1.23 (define @t72 () (tptp.ordered_by @t3 @t1 @t2)) % 1.02/1.23 (define @t73 () (tptp.between_o @t3 @t1 @t2 @t11)) % 1.02/1.23 (define @t74 () (not @t73)) % 1.02/1.23 (define @t75 () (tptp.ordered_by @t3 @t2 @t1)) % 1.02/1.23 (define @t76 () (tptp.ordered_by @t3 @t2 @t11)) % 1.02/1.23 (define @t77 () (not @t76)) % 1.02/1.23 (define @t78 () (not @t72)) % 1.02/1.23 (define @t79 () (tptp.incident_o @t3 @t1)) % 1.02/1.23 (define @t80 () (tptp.start_point @t3 @t1)) % 1.02/1.23 (define @t81 () (not @t80)) % 1.02/1.23 (define @t82 () (tptp.incident_o @t2 @t1)) % 1.02/1.23 (define @t83 () (not @t82)) % 1.02/1.23 (define @t84 () (tptp.ax2_sk1 @t1 @t3)) % 1.02/1.23 (define @t85 () (not @t79)) % 1.02/1.23 (define @t86 () (tptp.finish_point @t3 @t1)) % 1.02/1.23 (define @t87 () (not @t86)) % 1.02/1.23 (define @t88 () (forall @t8 (or @t87 @t58 @t83 (tptp.ordered_by @t1 @t2 @t3)))) % 1.02/1.23 (define @t89 () (tptp.ax2_sk2 @t1 @t3)) % 1.02/1.23 (define @t90 () (tptp.incident_c @t3 (tptp.ax2_sk3 @t1))) % 1.02/1.23 (define @t91 () (tptp.ax2_sk4 @t3 @t11 @t2 @t1)) % 1.02/1.23 (define @t92 () (tptp.incident_c @t53 @t91)) % 1.02/1.23 (define @t93 () (tptp.incident_o @t53 @t3)) % 1.02/1.23 (define @t94 () (tptp.between_o @t1 @t53 @t11 @t2)) % 1.02/1.23 (define @t95 () (not (tptp.between_c @t3 @t53 @t11 @t2))) % 1.02/1.23 (define @t96 () (tptp.ax2_sk5 @t3 @t1 @t2 @t11 @t53)) % 1.02/1.23 (define @t97 () (tptp.incident_c @t96 @t3)) % 1.02/1.23 (define @t98 () (tptp.incident_o @t96 @t1)) % 1.02/1.23 (define @t99 () (not @t98)) % 1.02/1.23 (define @t100 () (not @t97)) % 1.02/1.23 (define @t101 () (tptp.ax2_sk7 @t3 @t2 @t1)) % 1.02/1.23 (define @t102 () (tptp.incident_o @t11 @t101)) % 1.02/1.23 (define @t103 () (not (tptp.incident_c @t1 @t3))) % 1.02/1.23 (define @t104 () (= @t1 @t2)) % 1.02/1.23 (define @t105 () (tptp.ax2_sk9 @t1 @t3)) % 1.02/1.23 (define @t106 () (tptp.ax2_sk8 @t1 @t3)) % 1.02/1.23 (define @t107 () (tptp.ordered_by @t3 @t106 @t105)) % 1.02/1.23 (define @t108 () (tptp.ax2_sk9 @t3 @t1)) % 1.02/1.23 (define @t109 () (tptp.ax2_sk8 @t3 @t1)) % 1.02/1.23 (define @t110 () (tptp.ordered_by @t3 @t109 @t108)) % 1.02/1.23 (define @t111 () (not @t110)) % 1.02/1.23 (define @t112 () (not (= @t3 (tptp.underlying_curve @t1)))) % 1.02/1.23 (define @t113 () (= @t1 (tptp.underlying_curve @t3))) % 1.02/1.23 (define @t114 () (tptp.ax2_sk10 @t3 @t1)) % 1.02/1.23 (define @t115 () (tptp.incident_c @t114 @t1)) % 1.02/1.23 (define @t116 () (tptp.incident_o @t114 @t3)) % 1.02/1.23 (define @t117 () (not @t116)) % 1.02/1.23 (define @t118 () (not @t115)) % 1.02/1.23 (define @t119 () (tptp.finish_point tptp.sk26 tptp.sk25)) % 1.02/1.23 (define @t120 () (tptp.finish_point tptp.sk27 tptp.sk25)) % 1.02/1.23 (define @t121 () (= tptp.sk26 tptp.sk27)) % 1.02/1.23 (define @t122 () (not (tptp.between_c @t3 @t11 @t2 @t11))) % 1.02/1.23 (define @t123 () (not (= @t11 @t11))) % 1.02/1.23 (define @t124 () (or @t122 @t123)) % 1.02/1.23 (define @t125 () (@list @t3 @t2 @t11)) % 1.02/1.23 (define @t126 () (or @t66 @t67 @t66)) % 1.02/1.23 (define @t127 () (@list @t1)) % 1.02/1.23 (define @t128 () (forall @t127 @t68)) % 1.02/1.23 (define @t129 () (forall @t125 @t128)) % 1.02/1.23 (define @t130 () (forall (@list @t3 @t2 @t11 @t1) @t68)) % 1.02/1.23 (define @t131 () (@list tptp.sk25 tptp.sk26 tptp.sk27 tptp.sk26)) % 1.02/1.23 (define @t132 () (tptp.incident_o tptp.sk27 tptp.sk25)) % 1.02/1.23 (define @t133 () (not @t120)) % 1.02/1.23 (define @t134 () (or @t133 @t132)) % 1.02/1.23 (define @t135 () (@list false false)) % 1.02/1.23 (define @t136 () (tptp.ordered_by tptp.sk25 tptp.sk27 tptp.sk26)) % 1.02/1.23 (define @t137 () (not @t132)) % 1.02/1.23 (define @t138 () (not @t119)) % 1.02/1.23 (define @t139 () (or @t138 @t121 @t137 @t136)) % 1.02/1.23 (define @t140 () (@list true false false false)) % 1.02/1.23 (define @t141 () (tptp.ordered_by tptp.sk25 tptp.sk26 tptp.sk27)) % 1.02/1.23 (define @t142 () (tptp.incident_o tptp.sk26 tptp.sk25)) % 1.02/1.23 (define @t143 () (not @t142)) % 1.02/1.23 (define @t144 () (or @t133 (= tptp.sk27 tptp.sk26) @t143 @t141)) % 1.02/1.23 (define @t145 () (or @t133 @t121 @t143 @t141)) % 1.02/1.23 (define @t146 () (or @t138 @t142)) % 1.02/1.23 (define @t147 () (tptp.between_o tptp.sk25 tptp.sk26 tptp.sk27 tptp.sk26)) % 1.02/1.23 (define @t148 () (not @t136)) % 1.02/1.23 (define @t149 () (not @t141)) % 1.02/1.23 (define @t150 () (or @t149 @t148 @t147)) % 1.02/1.23 (define @t151 () (tptp.ax2_sk4 tptp.sk25 tptp.sk26 tptp.sk27 tptp.sk26)) % 1.02/1.23 (define @t152 () (tptp.between_c @t151 tptp.sk26 tptp.sk27 tptp.sk26)) % 1.02/1.23 (define @t153 () (not @t147)) % 1.02/1.23 (define @t154 () (or @t153 @t152)) % 1.02/1.23 (define @t155 () (forall @t125 @t122)) % 1.02/1.23 (assume @p1 (forall @t8 (or @t7 @t5 (tptp.incident_c @t2 @t1)))) % 1.02/1.23 (assume @p2 (forall @t10 (or (tptp.incident_c @t9 @t3) @t6))) % 1.02/1.23 (assume @p3 (forall @t10 (or (not (tptp.incident_c @t9 @t1)) @t6))) % 1.02/1.23 (assume @p4 (forall @t18 (or @t17 @t15 @t13 @t12))) % 1.02/1.23 (assume @p5 (forall @t18 (or @t17 @t19 @t14))) % 1.02/1.23 (assume @p6 (forall @t18 (or @t17 @t20 @t14))) % 1.02/1.23 (assume @p7 (forall @t8 (or @t25 @t24 @t23 @t21))) % 1.02/1.23 (assume @p8 (forall @t8 (or @t25 @t26 @t21))) % 1.02/1.23 (assume @p9 (forall @t8 (or @t27 @t24 @t23 @t21))) % 1.02/1.23 (assume @p10 (forall @t8 (or @t28 @t24 @t23 @t21))) % 1.02/1.23 (assume @p11 (forall @t8 (or @t27 @t26 @t21))) % 1.02/1.23 (assume @p12 (forall @t8 (or @t28 @t26 @t21))) % 1.02/1.23 (assume @p13 (forall @t10 (or @t31 @t29))) % 1.02/1.23 (assume @p14 (forall @t18 (or @t31 @t37 @t36 @t35 (not (tptp.incident_c @t3 @t11)) @t33 @t32))) % 1.02/1.23 (assume @p15 (forall @t10 (or @t39 (tptp.part_of @t38 @t1) @t30))) % 1.02/1.23 (assume @p16 (forall @t10 (or @t39 (tptp.part_of @t40 @t1) @t30))) % 1.02/1.23 (assume @p17 (forall @t10 (or @t39 (tptp.incident_c @t3 @t38) @t30))) % 1.02/1.23 (assume @p18 (forall @t10 (or @t39 (tptp.incident_c @t3 @t40) @t30))) % 1.02/1.23 (assume @p19 (forall @t10 (or @t39 (not (tptp.part_of @t38 @t40)) @t30))) % 1.02/1.23 (assume @p20 (forall @t10 (or @t39 (not (tptp.part_of @t40 @t38)) @t30))) % 1.02/1.23 (assume @p21 (forall @t10 (or @t42 @t29))) % 1.02/1.23 (assume @p22 (forall @t10 (or @t42 @t31))) % 1.02/1.23 (assume @p23 (forall @t10 (or @t39 @t30 @t41))) % 1.02/1.23 (assume @p24 (forall @t8 (or @t44 @t29))) % 1.02/1.23 (assume @p25 (forall @t8 (or @t44 @t34))) % 1.02/1.23 (assume @p26 (forall @t18 (or @t44 @t19 @t20 @t45))) % 1.02/1.23 (assume @p27 (forall @t18 (or @t44 @t19 @t20 (tptp.end_point @t11 @t2)))) % 1.02/1.23 (assume @p28 (forall @t8 (or @t39 @t35 (tptp.incident_c @t46 @t1) @t43))) % 1.02/1.23 (assume @p29 (forall @t8 (or @t39 @t35 (tptp.incident_c @t46 @t2) @t43))) % 1.02/1.23 (assume @p30 (forall @t8 (or @t39 @t35 (not (tptp.end_point @t46 @t1)) (not (tptp.end_point @t46 @t2)) @t43))) % 1.02/1.23 (assume @p31 (forall @t10 (or @t48 (not (tptp.end_point @t1 @t3))))) % 1.02/1.23 (assume @p32 (forall @t49 (or (tptp.end_point (tptp.ax0_sk6 @t3) @t3) @t47))) % 1.02/1.23 (assume @p33 (forall @t49 (or @t51 (tptp.end_point (tptp.ax0_sk7 @t3) @t3)))) % 1.02/1.23 (assume @p34 (forall @t10 (or @t31 (tptp.open @t1)))) % 1.02/1.23 (assume @p35 (forall @t10 (or @t7 @t52 @t50))) % 1.02/1.23 (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)))) % 1.02/1.23 (assume @p37 (forall @t49 (tptp.inner_point (tptp.ax0_sk8 @t3) @t3))) % 1.02/1.23 (assume @p38 (forall @t10 (or @t42 (tptp.meet @t3 @t57 @t56)))) % 1.02/1.23 (assume @p39 (forall @t10 (or @t42 (= @t1 (tptp.sum @t57 @t56))))) % 1.02/1.23 (assume @p40 (forall @t18 (or @t31 (not (tptp.end_point @t2 @t1)) (not @t45) @t58 (= @t3 @t11) (= @t2 @t11)))) % 1.02/1.23 (assume @p41 (forall @t10 (or @t31 (tptp.end_point @t59 @t1)))) % 1.02/1.23 (assume @p42 (forall @t10 (or @t31 (not (= @t3 @t59))))) % 1.02/1.23 (assume @p43 (forall @t55 (or @t48 (not (tptp.meet @t1 @t2 @t11)) (not (= @t3 (tptp.sum @t2 @t11))) @t54 (tptp.meet @t53 @t2 @t11)))) % 1.02/1.23 (assume @p44 (forall @t8 (or @t44 (= (tptp.ax0_sk12 @t2 @t1) @t16)))) % 1.02/1.23 (assume @p45 (forall @t10 (or @t63 @t62 @t60))) % 1.02/1.23 (assume @p46 (forall @t10 (or @t63 @t64 @t60))) % 1.02/1.23 (assume @p47 (forall @t10 (or @t65 @t62 @t60))) % 1.02/1.23 (assume @p48 (forall @t10 (or @t65 @t64 @t60))) % 1.02/1.23 (assume @p49 @t69) % 1.02/1.23 (assume @p50 (forall @t18 (or @t67 (tptp.part_of @t70 @t3)))) % 1.02/1.23 (assume @p51 (forall @t18 (or @t67 (tptp.end_point @t1 @t70)))) % 1.02/1.23 (assume @p52 (forall @t18 (or @t67 (tptp.end_point @t11 @t70)))) % 1.02/1.23 (assume @p53 (forall @t18 (or @t67 (tptp.inner_point @t2 @t70)))) % 1.02/1.23 (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)))) % 1.02/1.23 (assume @p55 (forall @t18 (or @t74 @t72 @t71))) % 1.02/1.23 (assume @p56 (forall @t18 (or @t74 @t72 @t75))) % 1.02/1.23 (assume @p57 (forall @t18 (or @t74 @t76 @t71))) % 1.02/1.23 (assume @p58 (forall @t18 (or @t74 @t76 @t75))) % 1.02/1.23 (assume @p59 (forall @t18 (or @t78 @t77 @t73))) % 1.02/1.23 (assume @p60 (forall @t18 (or @t78 @t77 (tptp.between_o @t3 @t11 @t2 @t1)))) % 1.02/1.23 (assume @p61 (forall @t10 (or @t81 @t79))) % 1.02/1.23 (assume @p62 (forall @t8 (or @t81 @t58 @t83 (tptp.ordered_by @t1 @t3 @t2)))) % 1.02/1.23 (assume @p63 (forall @t10 (or @t85 (not (= @t3 @t84)) @t80))) % 1.02/1.23 (assume @p64 (forall @t10 (or @t85 (tptp.incident_o @t84 @t1) @t80))) % 1.02/1.23 (assume @p65 (forall @t10 (or @t85 (not (tptp.ordered_by @t1 @t3 @t84)) @t80))) % 1.02/1.23 (assume @p66 (forall @t10 (or @t87 @t79))) % 1.02/1.23 (assume @p67 @t88) % 1.02/1.23 (assume @p68 (forall @t10 (or @t85 (not (= @t3 @t89)) @t86))) % 1.02/1.23 (assume @p69 (forall @t10 (or @t85 (tptp.incident_o @t89 @t1) @t86))) % 1.02/1.23 (assume @p70 (forall @t10 (or @t85 (not (tptp.ordered_by @t1 @t89 @t3)) @t86))) % 1.02/1.23 (assume @p71 (forall @t8 (or @t78 (tptp.incident_o @t1 @t3)))) % 1.02/1.23 (assume @p72 (forall @t8 (or @t78 (tptp.incident_o @t2 @t3)))) % 1.02/1.23 (assume @p73 (forall @t49 (tptp.open (tptp.ax2_sk3 @t3)))) % 1.02/1.23 (assume @p74 (forall @t10 (or @t85 @t90))) % 1.02/1.23 (assume @p75 (forall @t10 (or (not @t90) @t79))) % 1.02/1.23 (assume @p76 (forall @t55 (or @t74 (not @t93) @t92))) % 1.02/1.23 (assume @p77 (forall @t55 (or @t74 (not @t92) @t93))) % 1.02/1.23 (assume @p78 (forall @t18 (or @t74 (tptp.between_c @t91 @t1 @t2 @t11)))) % 1.02/1.23 (assume @p79 (forall @t55 (or @t98 @t97 @t95 @t94))) % 1.02/1.23 (assume @p80 (forall @t55 (or @t98 @t99 @t95 @t94))) % 1.02/1.23 (assume @p81 (forall @t55 (or @t100 @t97 @t95 @t94))) % 1.02/1.23 (assume @p82 (forall @t55 (or @t100 @t99 @t95 @t94))) % 1.02/1.23 (assume @p83 (forall @t49 (tptp.start_point (tptp.ax2_sk6 @t3) @t3))) % 1.02/1.23 (assume @p84 (forall @t18 (or @t51 @t104 @t103 @t5 (not @t102) @t14))) % 1.02/1.23 (assume @p85 (forall @t18 (or @t51 @t104 @t103 @t5 @t15 @t102))) % 1.02/1.23 (assume @p86 (forall @t8 (or @t51 @t104 @t103 @t5 (tptp.ordered_by @t101 @t1 @t2)))) % 1.02/1.23 (assume @p87 (forall @t10 (or @t107 (tptp.ordered_by @t1 @t106 @t105) @t52))) % 1.02/1.23 (assume @p88 (forall @t10 (or @t107 (not @t107) @t52))) % 1.02/1.23 (assume @p89 (forall @t10 (or @t111 @t110 @t60))) % 1.02/1.23 (assume @p90 (forall @t10 (or @t111 (not (tptp.ordered_by @t1 @t109 @t108)) @t60))) % 1.02/1.23 (assume @p91 (forall @t8 (or @t112 @t83 @t4))) % 1.02/1.23 (assume @p92 (forall @t8 (or @t112 @t5 @t82))) % 1.02/1.23 (assume @p93 (forall @t10 (or @t116 @t115 @t113))) % 1.02/1.23 (assume @p94 (forall @t10 (or @t116 @t117 @t113))) % 1.02/1.23 (assume @p95 (forall @t10 (or @t118 @t115 @t113))) % 1.02/1.23 (assume @p96 (forall @t10 (or @t118 @t117 @t113))) % 1.02/1.23 (assume @p97 @t119) % 1.02/1.23 (assume @p98 @t120) % 1.02/1.23 (assume @p99 (not @t121)) % 1.02/1.23 (step @p100 :rule aci_norm :args ((= (or @t122 false) @t122))) % 1.02/1.23 (step @p101 :rule evaluate :args ((not true))) % 1.02/1.23 (step @p102 :rule eq-refl :args (@t11)) % 1.02/1.23 (step @p103 :rule cong :premises (@p102) :args (@t123)) % 1.02/1.23 (step @p104 :rule trans :premises (@p103 @p101)) % 1.02/1.23 (step @p105 :rule refl :args (@t122)) % 1.02/1.23 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t124)) % 1.02/1.23 (step @p107 :rule trans :premises (@p106 @p100)) % 1.02/1.23 (step @p108 :rule cong :premises (@p107) :args ((forall @t125 @t124))) % 1.02/1.23 (step @p109 :rule quant-var-elim-eq :args ((= (forall @t127 @t126) @t124))) % 1.02/1.23 (step @p110 :rule aci_norm :args ((= @t68 @t126))) % 1.02/1.23 (step @p111 :rule cong :premises (@p110) :args (@t128)) % 1.02/1.23 (step @p112 :rule trans :premises (@p111 @p109)) % 1.02/1.23 (step @p113 :rule cong :premises (@p112) :args (@t129)) % 1.02/1.23 (step @p114 :rule quant-merge-prenex :args ((= @t129 @t130))) % 1.02/1.23 (step @p115 :rule symm :premises (@p114)) % 1.02/1.23 (step @p116 :rule quant_var_reordering :args ((= @t69 @t130))) % 1.02/1.23 (step @p117 :rule trans :premises (@p116 @p115 @p113)) % 1.02/1.23 (step @p118 :rule trans :premises (@p117 @p108)) % 1.02/1.23 (step @p119 :rule eq_resolve :premises (@p49 @p118)) % 1.02/1.23 (step @p120 :rule instantiate :premises (@p78) :args (@t131)) % 1.02/1.23 (step @p121 :rule instantiate :premises (@p59) :args (@t131)) % 1.02/1.23 (step @p122 :rule instantiate :premises (@p67) :args ((@list tptp.sk26 tptp.sk25 tptp.sk27))) % 1.02/1.23 (step @p123 :rule instantiate :premises (@p66) :args ((@list tptp.sk27 tptp.sk25))) % 1.02/1.23 (step @p124 :rule cnf_or_pos :args (@t134)) % 1.02/1.23 (step @p125 :rule reordering :premises (@p124) :args ((or @t133 @t132 (not @t134)))) % 1.02/1.23 (step @p126 :rule chain_m_resolution :premises (@p125 @p98 @p123) :args (@t132 @t135 (@list @t120 @t134))) % 1.02/1.23 (step @p127 :rule cnf_or_pos :args (@t139)) % 1.02/1.23 (step @p128 :rule reordering :premises (@p127) :args ((or @t121 @t138 @t137 @t136 (not @t139)))) % 1.02/1.23 (step @p129 :rule chain_m_resolution :premises (@p128 @p99 @p97 @p126 @p122) :args (@t136 @t140 (@list @t121 @t119 @t132 @t139))) % 1.02/1.23 (step @p130 :rule refl :args (@t141)) % 1.02/1.23 (step @p131 :rule refl :args (@t143)) % 1.02/1.23 (step @p132 :rule eq-symm :args (tptp.sk27 tptp.sk26)) % 1.02/1.23 (step @p133 :rule refl :args (@t133)) % 1.02/1.23 (step @p134 :rule nary_cong :premises (@p133 @p132 @p131 @p130) :args (@t144)) % 1.02/1.23 (step @p135 :rule refl :args (@t88)) % 1.02/1.23 (step @p136 :rule cong :premises (@p135 @p134) :args ((=> @t88 @t144))) % 1.02/1.23 (assume-push @p163 @t88) % 1.02/1.23 (step @p138 :rule instantiate :premises (@p67) :args ((@list tptp.sk27 tptp.sk25 tptp.sk26))) % 1.02/1.23 (step-pop @p164 :rule scope :premises (@p138)) % 1.02/1.23 (step @p139 :rule process_scope :premises (@p164) :args (@t144)) % 1.02/1.23 (step @p141 :rule eq_resolve :premises (@p139 @p136)) % 1.02/1.23 (step @p142 :rule implies_elim :premises (@p141)) % 1.02/1.23 (step @p143 :rule chain_m_resolution :premises (@p142 @p67) :args (@t145 (@list false) (@list @t88))) % 1.02/1.23 (step @p144 :rule instantiate :premises (@p66) :args ((@list tptp.sk26 tptp.sk25))) % 1.02/1.23 (step @p145 :rule cnf_or_pos :args (@t146)) % 1.02/1.23 (step @p146 :rule reordering :premises (@p145) :args ((or @t138 @t142 (not @t146)))) % 1.02/1.23 (step @p147 :rule chain_m_resolution :premises (@p146 @p97 @p144) :args (@t142 @t135 (@list @t119 @t146))) % 1.02/1.23 (step @p148 :rule cnf_or_pos :args (@t145)) % 1.02/1.23 (step @p149 :rule reordering :premises (@p148) :args ((or @t121 @t133 @t143 @t141 (not @t145)))) % 1.02/1.23 (step @p150 :rule chain_m_resolution :premises (@p149 @p99 @p98 @p147 @p143) :args (@t141 @t140 (@list @t121 @t120 @t142 @t145))) % 1.02/1.23 (step @p151 :rule cnf_or_pos :args (@t150)) % 1.02/1.23 (step @p152 :rule reordering :premises (@p151) :args ((or @t149 @t148 @t147 (not @t150)))) % 1.02/1.23 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p129 @p121) :args (@t147 (@list false false false) (@list @t141 @t136 @t150))) % 1.02/1.23 (step @p154 :rule cnf_or_pos :args (@t154)) % 1.02/1.23 (step @p155 :rule reordering :premises (@p154) :args ((or @t153 @t152 (not @t154)))) % 1.02/1.23 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p120) :args (@t152 @t135 (@list @t147 @t154))) % 1.02/1.23 (assume-push @p165 @t155) % 1.02/1.23 (step @p158 :rule instantiate :premises (@p119) :args ((@list @t151 tptp.sk27 tptp.sk26))) % 1.02/1.23 (step-pop @p166 :rule scope :premises (@p158)) % 1.02/1.23 (step @p159 :rule process_scope :premises (@p166) :args ((not @t152))) % 1.02/1.23 (step @p161 :rule implies_elim :premises (@p159)) % 1.02/1.23 (step @p162 false :rule chain_m_resolution :premises (@p161 @p156 @p119) :args (false @t135 (@list @t152 @t155))) % 1.02/1.23 ) % 1.02/1.23 % SZS output end Proof % 1.02/1.23 % cvc5 exiting %------------------------------------------------------------------------------