%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR002+2 : TPTP v9.2.1. Bugfixed v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:11:10 AM UTC 2026 % Result : Theorem 19.73s 19.94s % Output : Proof 19.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR002+2 : TPTP v9.2.1. Bugfixed v3.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n022.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 20:36:23 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 19.73/19.94 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 19.73/19.94 --- Run --no-e-matching --full-saturate-quant at 6... % 19.73/19.94 % SZS status Theorem % 19.73/19.94 % SZS output start Proof % 19.73/19.94 ( % 19.73/19.94 (declare-sort $$unsorted 0) % 19.73/19.94 (declare-const tptp.n7 $$unsorted) % 19.73/19.94 (declare-const tptp.n6 $$unsorted) % 19.73/19.94 (declare-const tptp.n5 $$unsorted) % 19.73/19.94 (declare-const tptp.n3 $$unsorted) % 19.73/19.94 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 19.73/19.94 (declare-const tptp.tapOn $$unsorted) % 19.73/19.94 (declare-const tptp.filling $$unsorted) % 19.73/19.94 (declare-const tptp.spilling $$unsorted) % 19.73/19.94 (declare-const tptp.overflow $$unsorted) % 19.73/19.94 (declare-const tptp.n2 $$unsorted) % 19.73/19.94 (declare-const tptp.waterLevel (-> $$unsorted $$unsorted)) % 19.73/19.94 (declare-const tptp.terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 19.73/19.94 (declare-const tptp.initiates (-> $$unsorted $$unsorted $$unsorted Bool)) % 19.73/19.94 (declare-const tptp.antitrajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 19.73/19.94 (declare-const tptp.n9 $$unsorted) % 19.73/19.94 (declare-const tptp.n4 $$unsorted) % 19.73/19.94 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 19.73/19.94 (declare-const tptp.startedIn (-> $$unsorted $$unsorted $$unsorted Bool)) % 19.73/19.94 (declare-const tptp.happens (-> $$unsorted $$unsorted Bool)) % 19.73/19.94 (declare-const tptp.releases (-> $$unsorted $$unsorted $$unsorted Bool)) % 19.73/19.94 (declare-const tptp.holdsAt (-> $$unsorted $$unsorted Bool)) % 19.73/19.94 (declare-const tptp.stoppedIn (-> $$unsorted $$unsorted $$unsorted Bool)) % 19.73/19.94 (declare-const tptp.trajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 19.73/19.94 (declare-const tptp.tapOff $$unsorted) % 19.73/19.94 (declare-const tptp.n0 $$unsorted) % 19.73/19.94 (declare-const tptp.n8 $$unsorted) % 19.73/19.94 (declare-const tptp.n1 $$unsorted) % 19.73/19.94 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 19.73/19.94 (declare-const tptp.releasedAt (-> $$unsorted $$unsorted Bool)) % 19.73/19.94 (define @t1 () (@var "Time" $$unsorted)) % 19.73/19.94 (define @t2 () (@var "Fluent" $$unsorted)) % 19.73/19.94 (define @t3 () (@var "Event" $$unsorted)) % 19.73/19.94 (define @t4 () (tptp.terminates @t3 @t2 @t1)) % 19.73/19.94 (define @t5 () (@var "Time2" $$unsorted)) % 19.73/19.94 (define @t6 () (tptp.less @t1 @t5)) % 19.73/19.94 (define @t7 () (@var "Time1" $$unsorted)) % 19.73/19.94 (define @t8 () (tptp.less @t7 @t1)) % 19.73/19.94 (define @t9 () (tptp.happens @t3 @t1)) % 19.73/19.94 (define @t10 () (and @t9 @t8 @t6 @t4)) % 19.73/19.94 (define @t11 () (@list @t3 @t1)) % 19.73/19.94 (define @t12 () (exists @t11 @t10)) % 19.73/19.94 (define @t13 () (tptp.stoppedIn @t7 @t2 @t5)) % 19.73/19.94 (define @t14 () (= @t13 @t12)) % 19.73/19.94 (define @t15 () (forall (@list @t7 @t2 @t5) @t14)) % 19.73/19.94 (define @t16 () (tptp.initiates @t3 @t2 @t1)) % 19.73/19.94 (define @t17 () (@var "Offset" $$unsorted)) % 19.73/19.94 (define @t18 () (tptp.plus @t1 @t17)) % 19.73/19.94 (define @t19 () (@var "Fluent2" $$unsorted)) % 19.73/19.94 (define @t20 () (tptp.holdsAt @t19 @t18)) % 19.73/19.94 (define @t21 () (tptp.stoppedIn @t1 @t2 @t18)) % 19.73/19.94 (define @t22 () (not @t21)) % 19.73/19.94 (define @t23 () (tptp.trajectory @t2 @t1 @t19 @t17)) % 19.73/19.94 (define @t24 () (tptp.less tptp.n0 @t17)) % 19.73/19.94 (define @t25 () (and @t9 @t16 @t24 @t23 @t22)) % 19.73/19.94 (define @t26 () (forall (@list @t3 @t1 @t2 @t19 @t17) (=> @t25 @t20))) % 19.73/19.94 (define @t27 () (tptp.plus @t7 @t5)) % 19.73/19.94 (define @t28 () (@var "Fluent1" $$unsorted)) % 19.73/19.94 (define @t29 () (tptp.plus @t1 tptp.n1)) % 19.73/19.94 (define @t30 () (tptp.holdsAt @t2 @t29)) % 19.73/19.94 (define @t31 () (and @t9 @t4)) % 19.73/19.94 (define @t32 () (@list @t3)) % 19.73/19.94 (define @t33 () (tptp.releasedAt @t2 @t29)) % 19.73/19.94 (define @t34 () (not @t33)) % 19.73/19.94 (define @t35 () (tptp.holdsAt @t2 @t1)) % 19.73/19.94 (define @t36 () (@list @t2 @t1)) % 19.73/19.94 (define @t37 () (not @t30)) % 19.73/19.94 (define @t38 () (and @t9 @t16)) % 19.73/19.94 (define @t39 () (exists @t32 @t38)) % 19.73/19.94 (define @t40 () (not @t39)) % 19.73/19.94 (define @t41 () (not @t35)) % 19.73/19.94 (define @t42 () (and @t41 @t34 @t40)) % 19.73/19.94 (define @t43 () (=> @t42 @t37)) % 19.73/19.94 (define @t44 () (forall @t36 @t43)) % 19.73/19.94 (define @t45 () (or @t16 @t4)) % 19.73/19.94 (define @t46 () (and @t9 @t45)) % 19.73/19.94 (define @t47 () (exists @t32 @t46)) % 19.73/19.94 (define @t48 () (not @t47)) % 19.73/19.94 (define @t49 () (tptp.releasedAt @t2 @t1)) % 19.73/19.94 (define @t50 () (and @t49 @t48)) % 19.73/19.94 (define @t51 () (=> @t50 @t33)) % 19.73/19.94 (define @t52 () (forall @t36 @t51)) % 19.73/19.94 (define @t53 () (tptp.releases @t3 @t2 @t1)) % 19.73/19.94 (define @t54 () (and @t9 @t53)) % 19.73/19.94 (define @t55 () (exists @t32 @t54)) % 19.73/19.94 (define @t56 () (not @t55)) % 19.73/19.94 (define @t57 () (not @t49)) % 19.73/19.94 (define @t58 () (and @t57 @t56)) % 19.73/19.94 (define @t59 () (=> @t58 @t34)) % 19.73/19.94 (define @t60 () (forall @t36 @t59)) % 19.73/19.94 (define @t61 () (@list @t3 @t1 @t2)) % 19.73/19.94 (define @t62 () (forall @t61 (=> @t31 @t37))) % 19.73/19.94 (define @t63 () (forall @t61 (=> @t54 @t33))) % 19.73/19.94 (define @t64 () (forall @t61 (=> @t46 @t34))) % 19.73/19.94 (define @t65 () (@var "Height" $$unsorted)) % 19.73/19.94 (define @t66 () (tptp.waterLevel @t65)) % 19.73/19.94 (define @t67 () (= @t2 @t66)) % 19.73/19.94 (define @t68 () (= @t3 tptp.overflow)) % 19.73/19.94 (define @t69 () (tptp.holdsAt @t66 @t1)) % 19.73/19.94 (define @t70 () (and @t69 @t68 @t67)) % 19.73/19.94 (define @t71 () (@list @t65)) % 19.73/19.94 (define @t72 () (exists @t71 @t70)) % 19.73/19.94 (define @t73 () (= @t3 tptp.tapOff)) % 19.73/19.94 (define @t74 () (and @t69 @t73 @t67)) % 19.73/19.94 (define @t75 () (exists @t71 @t74)) % 19.73/19.94 (define @t76 () (and @t68 (= @t2 tptp.spilling))) % 19.73/19.94 (define @t77 () (= @t2 tptp.filling)) % 19.73/19.94 (define @t78 () (= @t3 tptp.tapOn)) % 19.73/19.94 (define @t79 () (and @t78 @t77)) % 19.73/19.94 (define @t80 () (or @t79 @t76 @t75 @t72)) % 19.73/19.94 (define @t81 () (= @t16 @t80)) % 19.73/19.94 (define @t82 () (@list @t3 @t2 @t1)) % 19.73/19.94 (define @t83 () (forall @t82 @t81)) % 19.73/19.94 (define @t84 () (forall @t82 (= @t4 (or (and @t73 @t77) (and @t68 @t77))))) % 19.73/19.94 (define @t85 () (and @t78 @t67)) % 19.73/19.94 (define @t86 () (exists @t71 @t85)) % 19.73/19.94 (define @t87 () (= @t53 @t86)) % 19.73/19.94 (define @t88 () (forall @t82 @t87)) % 19.73/19.94 (define @t89 () (tptp.holdsAt tptp.filling @t1)) % 19.73/19.94 (define @t90 () (tptp.waterLevel tptp.n3)) % 19.73/19.94 (define @t91 () (tptp.holdsAt @t90 @t1)) % 19.73/19.94 (define @t92 () (and @t91 @t89 @t68)) % 19.73/19.94 (define @t93 () (and @t78 (= @t1 tptp.n0))) % 19.73/19.94 (define @t94 () (or @t93 @t92)) % 19.73/19.94 (define @t95 () (= @t9 @t94)) % 19.73/19.94 (define @t96 () (forall @t11 @t95)) % 19.73/19.94 (define @t97 () (@var "Height2" $$unsorted)) % 19.73/19.94 (define @t98 () (tptp.waterLevel @t97)) % 19.73/19.94 (define @t99 () (tptp.trajectory tptp.filling @t1 @t98 @t17)) % 19.73/19.94 (define @t100 () (@var "Height1" $$unsorted)) % 19.73/19.94 (define @t101 () (tptp.plus @t100 @t17)) % 19.73/19.94 (define @t102 () (= @t97 @t101)) % 19.73/19.94 (define @t103 () (tptp.holdsAt (tptp.waterLevel @t100) @t1)) % 19.73/19.94 (define @t104 () (and @t103 @t102)) % 19.73/19.94 (define @t105 () (@list @t100 @t1 @t97 @t17)) % 19.73/19.94 (define @t106 () (forall @t105 (=> @t104 @t99))) % 19.73/19.94 (define @t107 () (= @t100 @t97)) % 19.73/19.94 (define @t108 () (tptp.holdsAt @t98 @t1)) % 19.73/19.94 (define @t109 () (and @t103 @t108)) % 19.73/19.94 (define @t110 () (@list @t1 @t100 @t97)) % 19.73/19.94 (define @t111 () (forall @t110 (=> @t109 @t107))) % 19.73/19.94 (define @t112 () (= tptp.overflow tptp.tapOn)) % 19.73/19.94 (define @t113 () (@var "X" $$unsorted)) % 19.73/19.94 (define @t114 () (tptp.waterLevel @t113)) % 19.73/19.94 (define @t115 () (@list @t113)) % 19.73/19.94 (define @t116 () (forall @t115 (not (= tptp.filling @t114)))) % 19.73/19.94 (define @t117 () (= tptp.filling tptp.spilling)) % 19.73/19.94 (define @t118 () (@var "Y" $$unsorted)) % 19.73/19.94 (define @t119 () (= @t113 @t118)) % 19.73/19.94 (define @t120 () (@list @t113 @t118)) % 19.73/19.94 (define @t121 () (tptp.plus tptp.n0 tptp.n1)) % 19.73/19.94 (define @t122 () (tptp.plus tptp.n1 tptp.n1)) % 19.73/19.94 (define @t123 () (tptp.plus tptp.n1 tptp.n2)) % 19.73/19.94 (define @t124 () (tptp.plus tptp.n1 tptp.n3)) % 19.73/19.94 (define @t125 () (tptp.plus tptp.n2 tptp.n3)) % 19.73/19.94 (define @t126 () (tptp.plus tptp.n3 tptp.n3)) % 19.73/19.94 (define @t127 () (tptp.less @t113 @t118)) % 19.73/19.94 (define @t128 () (forall @t120 (= (tptp.less_or_equal @t113 @t118) (or @t127 @t119)))) % 19.73/19.94 (define @t129 () (tptp.less @t113 tptp.n0)) % 19.73/19.94 (define @t130 () (exists @t115 @t129)) % 19.73/19.94 (define @t131 () (not @t130)) % 19.73/19.94 (define @t132 () (forall @t115 (= (tptp.less @t113 tptp.n1) (tptp.less_or_equal @t113 tptp.n0)))) % 19.73/19.94 (define @t133 () (tptp.less_or_equal @t113 tptp.n1)) % 19.73/19.94 (define @t134 () (tptp.less @t113 tptp.n2)) % 19.73/19.94 (define @t135 () (= @t134 @t133)) % 19.73/19.94 (define @t136 () (forall @t115 @t135)) % 19.73/19.94 (define @t137 () (tptp.less_or_equal @t113 tptp.n2)) % 19.73/19.94 (define @t138 () (tptp.less @t113 tptp.n3)) % 19.73/19.94 (define @t139 () (= @t138 @t137)) % 19.73/19.94 (define @t140 () (forall @t115 @t139)) % 19.73/19.94 (define @t141 () (tptp.less_or_equal @t113 tptp.n3)) % 19.73/19.94 (define @t142 () (tptp.less @t113 tptp.n4)) % 19.73/19.94 (define @t143 () (= @t142 @t141)) % 19.73/19.94 (define @t144 () (forall @t115 @t143)) % 19.73/19.94 (define @t145 () (tptp.less_or_equal @t113 tptp.n4)) % 19.73/19.94 (define @t146 () (tptp.less @t113 tptp.n5)) % 19.73/19.94 (define @t147 () (= @t146 @t145)) % 19.73/19.94 (define @t148 () (forall @t115 @t147)) % 19.73/19.94 (define @t149 () (tptp.less_or_equal @t113 tptp.n5)) % 19.73/19.94 (define @t150 () (tptp.less @t113 tptp.n6)) % 19.73/19.94 (define @t151 () (= @t150 @t149)) % 19.73/19.94 (define @t152 () (forall @t115 @t151)) % 19.73/19.94 (define @t153 () (tptp.less_or_equal @t113 tptp.n6)) % 19.73/19.94 (define @t154 () (tptp.less @t113 tptp.n7)) % 19.73/19.94 (define @t155 () (= @t154 @t153)) % 19.73/19.94 (define @t156 () (forall @t115 @t155)) % 19.73/19.94 (define @t157 () (not (= @t118 @t113))) % 19.73/19.94 (define @t158 () (not (tptp.less @t118 @t113))) % 19.73/19.94 (define @t159 () (and @t158 @t157)) % 19.73/19.94 (define @t160 () (= @t127 @t159)) % 19.73/19.94 (define @t161 () (forall @t120 @t160)) % 19.73/19.94 (define @t162 () (tptp.waterLevel tptp.n0)) % 19.73/19.94 (define @t163 () (tptp.holdsAt @t162 tptp.n0)) % 19.73/19.94 (define @t164 () (tptp.holdsAt tptp.filling tptp.n0)) % 19.73/19.94 (define @t165 () (tptp.holdsAt @t90 tptp.n3)) % 19.73/19.94 (define @t166 () (tptp.holdsAt tptp.filling tptp.n4)) % 19.73/19.94 (define @t167 () (tptp.less tptp.n1 tptp.n0)) % 19.73/19.94 (define @t168 () (= tptp.n1 tptp.n0)) % 19.73/19.94 (define @t169 () (or @t167 @t168)) % 19.73/19.94 (define @t170 () (tptp.less_or_equal tptp.n1 tptp.n0)) % 19.73/19.94 (define @t171 () (= @t170 @t169)) % 19.73/19.94 (define @t172 () (= tptp.n0 tptp.n1)) % 19.73/19.94 (define @t173 () (or @t167 @t172)) % 19.73/19.94 (define @t174 () (= @t170 @t173)) % 19.73/19.94 (define @t175 () (@list false)) % 19.73/19.94 (define @t176 () (@list @t128)) % 19.73/19.94 (define @t177 () (forall @t115 (not @t129))) % 19.73/19.94 (define @t178 () (@list tptp.n1)) % 19.73/19.94 (define @t179 () (tptp.less tptp.n0 tptp.n1)) % 19.73/19.94 (define @t180 () (tptp.less_or_equal tptp.n0 tptp.n0)) % 19.73/19.94 (define @t181 () (= @t179 @t180)) % 19.73/19.94 (define @t182 () (@list tptp.n0)) % 19.73/19.94 (define @t183 () (= @t180 @t179)) % 19.73/19.94 (define @t184 () (tptp.less tptp.n0 tptp.n0)) % 19.73/19.94 (define @t185 () (= tptp.n0 tptp.n0)) % 19.73/19.94 (define @t186 () (or @t184 @t185)) % 19.73/19.94 (define @t187 () (= @t180 @t186)) % 19.73/19.94 (define @t188 () (@list false false)) % 19.73/19.94 (define @t189 () (not @t179)) % 19.73/19.94 (define @t190 () (not @t172)) % 19.73/19.94 (define @t191 () (not @t184)) % 19.73/19.94 (define @t192 () (= false true)) % 19.73/19.94 (define @t193 () (and @t179 @t172 @t191)) % 19.73/19.94 (define @t194 () (@list true false)) % 19.73/19.94 (define @t195 () (not @t173)) % 19.73/19.94 (define @t196 () (@list true true)) % 19.73/19.94 (define @t197 () (not @t170)) % 19.73/19.94 (define @t198 () (tptp.plus tptp.n1 @t122)) % 19.73/19.94 (define @t199 () (tptp.plus tptp.n1 @t198)) % 19.73/19.94 (define @t200 () (tptp.less @t113 @t199)) % 19.73/19.94 (define @t201 () (tptp.less_or_equal @t113 @t198)) % 19.73/19.94 (define @t202 () (tptp.less @t199 tptp.n1)) % 19.73/19.94 (define @t203 () (or @t202 (= @t199 tptp.n1))) % 19.73/19.94 (define @t204 () (tptp.less_or_equal @t199 tptp.n1)) % 19.73/19.94 (define @t205 () (= @t204 @t203)) % 19.73/19.94 (define @t206 () (= tptp.n1 @t199)) % 19.73/19.94 (define @t207 () (or @t202 @t206)) % 19.73/19.94 (define @t208 () (= @t204 @t207)) % 19.73/19.94 (define @t209 () (tptp.less @t113 @t122)) % 19.73/19.94 (define @t210 () (@list @t199)) % 19.73/19.94 (define @t211 () (tptp.less @t199 @t122)) % 19.73/19.94 (define @t212 () (or @t211 (= @t199 @t122))) % 19.73/19.94 (define @t213 () (tptp.less_or_equal @t199 @t122)) % 19.73/19.94 (define @t214 () (= @t213 @t212)) % 19.73/19.94 (define @t215 () (or @t211 (= @t122 @t199))) % 19.73/19.94 (define @t216 () (= @t213 @t215)) % 19.73/19.94 (define @t217 () (tptp.less @t113 @t198)) % 19.73/19.94 (define @t218 () (tptp.less_or_equal @t113 @t122)) % 19.73/19.94 (define @t219 () (tptp.less @t199 @t198)) % 19.73/19.94 (define @t220 () (or @t219 (= @t199 @t198))) % 19.73/19.94 (define @t221 () (tptp.less_or_equal @t199 @t198)) % 19.73/19.94 (define @t222 () (= @t221 @t220)) % 19.73/19.94 (define @t223 () (or @t219 (= @t198 @t199))) % 19.73/19.94 (define @t224 () (= @t221 @t223)) % 19.73/19.94 (define @t225 () (tptp.less @t199 @t199)) % 19.73/19.94 (define @t226 () (not @t225)) % 19.73/19.94 (define @t227 () (not (= @t199 @t199))) % 19.73/19.94 (define @t228 () (and @t226 @t227)) % 19.73/19.94 (define @t229 () (= @t225 @t228)) % 19.73/19.94 (define @t230 () (forall @t120 (= @t127 (and @t158 (not @t119))))) % 19.73/19.94 (define @t231 () (@list @t230)) % 19.73/19.94 (define @t232 () (= @t221 @t225)) % 19.73/19.94 (define @t233 () (not @t221)) % 19.73/19.94 (define @t234 () (not @t223)) % 19.73/19.94 (define @t235 () (not @t219)) % 19.73/19.94 (define @t236 () (@list true)) % 19.73/19.94 (define @t237 () (= @t213 @t219)) % 19.73/19.94 (define @t238 () (not @t213)) % 19.73/19.94 (define @t239 () (not @t215)) % 19.73/19.94 (define @t240 () (not @t211)) % 19.73/19.94 (define @t241 () (= @t204 @t211)) % 19.73/19.94 (define @t242 () (not @t204)) % 19.73/19.94 (define @t243 () (not @t207)) % 19.73/19.94 (define @t244 () (not @t206)) % 19.73/19.94 (define @t245 () (@list @t207)) % 19.73/19.94 (define @t246 () (not @t202)) % 19.73/19.94 (define @t247 () (and @t246 @t244)) % 19.73/19.94 (define @t248 () (tptp.less tptp.n1 @t199)) % 19.73/19.94 (define @t249 () (= @t248 @t247)) % 19.73/19.94 (define @t250 () (tptp.less_or_equal tptp.n1 @t198)) % 19.73/19.94 (define @t251 () (= @t250 @t248)) % 19.73/19.94 (define @t252 () (not (tptp.happens @t3 @t198))) % 19.73/19.94 (define @t253 () (forall @t32 (or @t252 (not (tptp.initiates @t3 tptp.filling @t198))))) % 19.73/19.94 (define @t254 () (@quantifiers_skolemize @t253 0)) % 19.73/19.94 (define @t255 () (tptp.holdsAt tptp.filling @t198)) % 19.73/19.94 (define @t256 () (tptp.waterLevel @t198)) % 19.73/19.94 (define @t257 () (tptp.holdsAt @t256 @t198)) % 19.73/19.94 (define @t258 () (and @t257 @t255 (= @t254 tptp.overflow))) % 19.73/19.94 (define @t259 () (= @t198 tptp.n0)) % 19.73/19.94 (define @t260 () (and (= @t254 tptp.tapOn) @t259)) % 19.73/19.94 (define @t261 () (or @t260 @t258)) % 19.73/19.94 (define @t262 () (tptp.happens @t254 @t198)) % 19.73/19.94 (define @t263 () (= @t262 @t261)) % 19.73/19.94 (define @t264 () (forall @t11 (= @t9 (or @t93 (and (tptp.holdsAt @t256 @t1) @t89 @t68))))) % 19.73/19.94 (define @t265 () (and @t257 @t255 (= tptp.overflow @t254))) % 19.73/19.94 (define @t266 () (= tptp.n0 @t198)) % 19.73/19.94 (define @t267 () (and (= tptp.tapOn @t254) @t266)) % 19.73/19.94 (define @t268 () (or @t267 @t265)) % 19.73/19.94 (define @t269 () (= @t262 @t268)) % 19.73/19.94 (define @t270 () (@list @t264)) % 19.73/19.94 (define @t271 () (not @t16)) % 19.73/19.94 (define @t272 () (not @t9)) % 19.73/19.94 (define @t273 () (forall @t32 (or @t272 @t271))) % 19.73/19.94 (define @t274 () (not @t273)) % 19.73/19.94 (define @t275 () (not @t34)) % 19.73/19.94 (define @t276 () (not @t41)) % 19.73/19.94 (define @t277 () (or @t276 @t275 @t274)) % 19.73/19.94 (define @t278 () (and @t41 @t34 @t273)) % 19.73/19.94 (define @t279 () (forall @t32 (not @t38))) % 19.73/19.94 (define @t280 () (not @t279)) % 19.73/19.94 (define @t281 () (@list tptp.filling @t198)) % 19.73/19.94 (define @t282 () (tptp.plus @t198 tptp.n1)) % 19.73/19.94 (define @t283 () (tptp.holdsAt tptp.filling @t282)) % 19.73/19.94 (define @t284 () (not @t53)) % 19.73/19.94 (define @t285 () (or @t272 @t284)) % 19.73/19.94 (define @t286 () (forall @t32 @t285)) % 19.73/19.94 (define @t287 () (not @t286)) % 19.73/19.94 (define @t288 () (and @t57 @t286)) % 19.73/19.94 (define @t289 () (not @t54)) % 19.73/19.94 (define @t290 () (forall @t32 @t289)) % 19.73/19.94 (define @t291 () (not @t290)) % 19.73/19.94 (define @t292 () (not @t67)) % 19.73/19.94 (define @t293 () (forall @t71 @t292)) % 19.73/19.94 (define @t294 () (not @t293)) % 19.73/19.94 (define @t295 () (not @t78)) % 19.73/19.94 (define @t296 () (or @t295 @t293)) % 19.73/19.94 (define @t297 () (= @t53 (not @t296))) % 19.73/19.94 (define @t298 () (forall @t71 (not @t85))) % 19.73/19.94 (define @t299 () (not @t298)) % 19.73/19.94 (define @t300 () (not (= tptp.filling @t66))) % 19.73/19.94 (define @t301 () (forall @t71 @t300)) % 19.73/19.94 (define @t302 () (not @t301)) % 19.73/19.94 (define @t303 () (forall @t32 (or @t252 (not (tptp.releases @t3 tptp.filling @t198))))) % 19.73/19.94 (define @t304 () (@quantifiers_skolemize @t303 0)) % 19.73/19.94 (define @t305 () (and (= @t304 tptp.tapOn) @t302)) % 19.73/19.94 (define @t306 () (tptp.releases @t304 tptp.filling @t198)) % 19.73/19.94 (define @t307 () (= @t306 @t305)) % 19.73/19.94 (define @t308 () (forall @t82 (= @t53 (and @t78 @t294)))) % 19.73/19.94 (define @t309 () (and (= tptp.tapOn @t304) @t302)) % 19.73/19.94 (define @t310 () (= @t306 @t309)) % 19.73/19.94 (define @t311 () (@list @t308)) % 19.73/19.94 (define @t312 () (not @t309)) % 19.73/19.94 (define @t313 () (@list @t301)) % 19.73/19.94 (define @t314 () (not @t306)) % 19.73/19.94 (define @t315 () (or (not (tptp.happens @t304 @t198)) @t314)) % 19.73/19.94 (define @t316 () (not @t315)) % 19.73/19.94 (define @t317 () (not @t303)) % 19.73/19.94 (define @t318 () (not @t4)) % 19.73/19.94 (define @t319 () (and @t271 @t318)) % 19.73/19.94 (define @t320 () (or @t272 @t319)) % 19.73/19.94 (define @t321 () (forall @t32 @t320)) % 19.73/19.94 (define @t322 () (not @t321)) % 19.73/19.94 (define @t323 () (and @t49 @t321)) % 19.73/19.94 (define @t324 () (not @t46)) % 19.73/19.94 (define @t325 () (forall @t32 @t324)) % 19.73/19.94 (define @t326 () (not @t325)) % 19.73/19.94 (define @t327 () (not (tptp.happens @t3 tptp.n1))) % 19.73/19.94 (define @t328 () (forall @t32 (or @t327 (and (not (tptp.initiates @t3 @t162 tptp.n1)) (not (tptp.terminates @t3 @t162 tptp.n1)))))) % 19.73/19.94 (define @t329 () (@quantifiers_skolemize @t328 0)) % 19.73/19.94 (define @t330 () (tptp.holdsAt tptp.filling tptp.n1)) % 19.73/19.94 (define @t331 () (tptp.holdsAt @t256 tptp.n1)) % 19.73/19.94 (define @t332 () (and @t331 @t330 (= @t329 tptp.overflow))) % 19.73/19.94 (define @t333 () (and (= @t329 tptp.tapOn) @t168)) % 19.73/19.94 (define @t334 () (or @t333 @t332)) % 19.73/19.94 (define @t335 () (tptp.happens @t329 tptp.n1)) % 19.73/19.94 (define @t336 () (= @t335 @t334)) % 19.73/19.94 (define @t337 () (and @t331 @t330 (= tptp.overflow @t329))) % 19.73/19.94 (define @t338 () (and (= tptp.tapOn @t329) @t172)) % 19.73/19.94 (define @t339 () (or @t338 @t337)) % 19.73/19.94 (define @t340 () (= @t335 @t339)) % 19.73/19.94 (define @t341 () (not @t108)) % 19.73/19.94 (define @t342 () (not @t103)) % 19.73/19.94 (define @t343 () (or @t342 @t341 @t107)) % 19.73/19.94 (define @t344 () (tptp.waterLevel tptp.n1)) % 19.73/19.94 (define @t345 () (tptp.holdsAt @t344 tptp.n1)) % 19.73/19.94 (define @t346 () (not @t345)) % 19.73/19.94 (define @t347 () (not @t331)) % 19.73/19.94 (define @t348 () (or @t347 @t346 (= @t198 tptp.n1))) % 19.73/19.94 (define @t349 () (forall @t110 @t343)) % 19.73/19.94 (define @t350 () (= tptp.n1 @t198)) % 19.73/19.94 (define @t351 () (or @t347 @t346 @t350)) % 19.73/19.94 (define @t352 () (@list tptp.n7)) % 19.73/19.94 (define @t353 () (tptp.plus @t122 @t198)) % 19.73/19.94 (define @t354 () (tptp.less @t113 @t353)) % 19.73/19.94 (define @t355 () (tptp.less_or_equal @t113 @t199)) % 19.73/19.94 (define @t356 () (tptp.plus @t198 @t198)) % 19.73/19.94 (define @t357 () (tptp.less @t113 @t356)) % 19.73/19.94 (define @t358 () (tptp.less_or_equal @t113 @t353)) % 19.73/19.94 (define @t359 () (tptp.less tptp.n7 tptp.n7)) % 19.73/19.94 (define @t360 () (not @t359)) % 19.73/19.94 (define @t361 () (not (= tptp.n7 tptp.n7))) % 19.73/19.94 (define @t362 () (and @t360 @t361)) % 19.73/19.94 (define @t363 () (= @t359 @t362)) % 19.73/19.94 (define @t364 () (tptp.less_or_equal tptp.n7 @t356)) % 19.73/19.94 (define @t365 () (= @t359 @t364)) % 19.73/19.94 (define @t366 () (not @t364)) % 19.73/19.94 (define @t367 () (tptp.less tptp.n7 @t356)) % 19.73/19.94 (define @t368 () (or @t367 (= tptp.n7 @t356))) % 19.73/19.94 (define @t369 () (= @t364 @t368)) % 19.73/19.94 (define @t370 () (not @t368)) % 19.73/19.94 (define @t371 () (not @t367)) % 19.73/19.94 (define @t372 () (tptp.less_or_equal tptp.n7 @t353)) % 19.73/19.94 (define @t373 () (= @t372 @t367)) % 19.73/19.94 (define @t374 () (not @t372)) % 19.73/19.94 (define @t375 () (tptp.less tptp.n7 @t353)) % 19.73/19.94 (define @t376 () (or @t375 (= tptp.n7 @t353))) % 19.73/19.94 (define @t377 () (= @t372 @t376)) % 19.73/19.94 (define @t378 () (not @t376)) % 19.73/19.94 (define @t379 () (not @t375)) % 19.73/19.94 (define @t380 () (tptp.less_or_equal tptp.n7 @t199)) % 19.73/19.94 (define @t381 () (= @t380 @t375)) % 19.73/19.94 (define @t382 () (not @t380)) % 19.73/19.94 (define @t383 () (tptp.less tptp.n7 @t199)) % 19.73/19.94 (define @t384 () (or @t383 (= tptp.n7 @t199))) % 19.73/19.94 (define @t385 () (= @t380 @t384)) % 19.73/19.94 (define @t386 () (not @t384)) % 19.73/19.94 (define @t387 () (not @t383)) % 19.73/19.94 (define @t388 () (tptp.less_or_equal tptp.n7 @t198)) % 19.73/19.94 (define @t389 () (= @t388 @t383)) % 19.73/19.94 (define @t390 () (not @t388)) % 19.73/19.94 (define @t391 () (tptp.less tptp.n7 @t198)) % 19.73/19.94 (define @t392 () (or @t391 (= tptp.n7 @t198))) % 19.73/19.94 (define @t393 () (= @t388 @t392)) % 19.73/19.94 (define @t394 () (not @t392)) % 19.73/19.94 (define @t395 () (not @t391)) % 19.73/19.94 (define @t396 () (tptp.less tptp.n7 tptp.n1)) % 19.73/19.94 (define @t397 () (not @t396)) % 19.73/19.94 (define @t398 () (not @t350)) % 19.73/19.94 (define @t399 () (and @t395 @t350)) % 19.73/19.94 (define @t400 () (tptp.less_or_equal tptp.n7 tptp.n1)) % 19.73/19.94 (define @t401 () (not @t400)) % 19.73/19.94 (define @t402 () (and @t390 @t350)) % 19.73/19.94 (define @t403 () (tptp.less @t198 @t198)) % 19.73/19.94 (define @t404 () (not @t403)) % 19.73/19.94 (define @t405 () (not (= @t198 @t198))) % 19.73/19.94 (define @t406 () (and @t404 @t405)) % 19.73/19.94 (define @t407 () (= @t403 @t406)) % 19.73/19.94 (define @t408 () (tptp.less_or_equal @t198 @t122)) % 19.73/19.94 (define @t409 () (= @t408 @t403)) % 19.73/19.94 (define @t410 () (not @t408)) % 19.73/19.94 (define @t411 () (tptp.less_or_equal tptp.n1 @t356)) % 19.73/19.94 (define @t412 () (not @t411)) % 19.73/19.94 (define @t413 () (and @t350 @t410)) % 19.73/19.94 (define @t414 () (or @t396 (= tptp.n7 tptp.n1))) % 19.73/19.94 (define @t415 () (= @t400 @t414)) % 19.73/19.94 (define @t416 () (= tptp.n1 tptp.n7)) % 19.73/19.94 (define @t417 () (or @t396 @t416)) % 19.73/19.94 (define @t418 () (= @t400 @t417)) % 19.73/19.94 (define @t419 () (tptp.less tptp.n1 tptp.n7)) % 19.73/19.94 (define @t420 () (= @t419 @t411)) % 19.73/19.94 (define @t421 () (not @t416)) % 19.73/19.94 (define @t422 () (and @t397 @t421)) % 19.73/19.94 (define @t423 () (= @t419 @t422)) % 19.73/19.94 (define @t424 () (not @t23)) % 19.73/19.94 (define @t425 () (not @t24)) % 19.73/19.94 (define @t426 () (not @t22)) % 19.73/19.94 (define @t427 () (or @t272 @t271 @t425 @t424 @t426)) % 19.73/19.94 (define @t428 () (tptp.waterLevel @t121)) % 19.73/19.94 (define @t429 () (tptp.trajectory tptp.filling @t1 (tptp.waterLevel @t101) @t17)) % 19.73/19.94 (define @t430 () (not (= @t101 @t101))) % 19.73/19.94 (define @t431 () (or @t342 @t430 @t429)) % 19.73/19.94 (define @t432 () (@list @t100 @t1 @t17)) % 19.73/19.94 (define @t433 () (not @t102)) % 19.73/19.94 (define @t434 () (or @t433 @t342 @t433 @t99)) % 19.73/19.94 (define @t435 () (@list @t97)) % 19.73/19.94 (define @t436 () (or @t342 @t433 @t99)) % 19.73/19.94 (define @t437 () (forall @t435 @t436)) % 19.73/19.94 (define @t438 () (forall @t432 @t437)) % 19.73/19.94 (define @t439 () (forall (@list @t100 @t1 @t17 @t97) @t436)) % 19.73/19.94 (define @t440 () (tptp.trajectory tptp.filling tptp.n0 @t428 tptp.n1)) % 19.73/19.94 (define @t441 () (not @t163)) % 19.73/19.94 (define @t442 () (or @t441 @t440)) % 19.73/19.94 (define @t443 () (not @t6)) % 19.73/19.94 (define @t444 () (not @t8)) % 19.73/19.94 (define @t445 () (forall @t11 (not @t10))) % 19.73/19.94 (define @t446 () (not @t445)) % 19.73/19.94 (define @t447 () (forall @t11 (or @t272 (not (tptp.less tptp.n0 @t1)) (not (tptp.less @t1 @t121)) (not (tptp.terminates @t3 tptp.filling @t1))))) % 19.73/19.94 (define @t448 () (@quantifiers_skolemize @t447 1)) % 19.73/19.94 (define @t449 () (tptp.less tptp.n0 @t448)) % 19.73/19.94 (define @t450 () (@quantifiers_skolemize @t447 0)) % 19.73/19.94 (define @t451 () (tptp.less @t448 @t121)) % 19.73/19.94 (define @t452 () (not @t451)) % 19.73/19.94 (define @t453 () (not @t449)) % 19.73/19.94 (define @t454 () (or (not (tptp.happens @t450 @t448)) @t453 @t452 (not (tptp.terminates @t450 tptp.filling @t448)))) % 19.73/19.94 (define @t455 () (= tptp.n0 @t448)) % 19.73/19.94 (define @t456 () (not @t455)) % 19.73/19.94 (define @t457 () (tptp.less @t448 tptp.n0)) % 19.73/19.94 (define @t458 () (and (not @t457) @t456)) % 19.73/19.94 (define @t459 () (= @t449 @t458)) % 19.73/19.94 (define @t460 () (@list @t448)) % 19.73/19.94 (define @t461 () (or @t457 @t455)) % 19.73/19.94 (define @t462 () (or @t457 (= @t448 tptp.n0))) % 19.73/19.94 (define @t463 () (tptp.less_or_equal @t448 tptp.n0)) % 19.73/19.94 (define @t464 () (= @t463 @t462)) % 19.73/19.94 (define @t465 () (= @t463 @t461)) % 19.73/19.94 (define @t466 () (tptp.less @t448 tptp.n1)) % 19.73/19.94 (define @t467 () (= @t466 @t463)) % 19.73/19.94 (define @t468 () (= tptp.n1 @t121)) % 19.73/19.94 (define @t469 () (and @t468 @t451)) % 19.73/19.94 (define @t470 () (not @t454)) % 19.73/19.94 (define @t471 () (not @t447)) % 19.73/19.94 (define @t472 () (tptp.stoppedIn tptp.n0 tptp.filling @t121)) % 19.73/19.94 (define @t473 () (= @t472 @t471)) % 19.73/19.94 (define @t474 () (not @t472)) % 19.73/19.94 (define @t475 () (not @t69)) % 19.73/19.94 (define @t476 () (or @t475 @t292)) % 19.73/19.94 (define @t477 () (forall @t71 @t476)) % 19.73/19.94 (define @t478 () (not @t477)) % 19.73/19.94 (define @t479 () (not @t68)) % 19.73/19.94 (define @t480 () (not @t73)) % 19.73/19.94 (define @t481 () (or @t479 @t477)) % 19.73/19.94 (define @t482 () (or @t480 @t477)) % 19.73/19.94 (define @t483 () (or @t79 @t76 (not @t482) (not @t481))) % 19.73/19.94 (define @t484 () (= @t16 @t483)) % 19.73/19.94 (define @t485 () (or @t479 @t476)) % 19.73/19.94 (define @t486 () (or @t475 @t479 @t292)) % 19.73/19.94 (define @t487 () (forall @t71 (not @t70))) % 19.73/19.94 (define @t488 () (not @t487)) % 19.73/19.94 (define @t489 () (or @t480 @t476)) % 19.73/19.94 (define @t490 () (or @t475 @t480 @t292)) % 19.73/19.94 (define @t491 () (forall @t71 (not @t74))) % 19.73/19.94 (define @t492 () (not @t491)) % 19.73/19.94 (define @t493 () (tptp.initiates tptp.tapOn tptp.filling tptp.n0)) % 19.73/19.94 (define @t494 () (not (forall @t71 (or (not (tptp.holdsAt @t66 tptp.n0)) @t300)))) % 19.73/19.94 (define @t495 () (= tptp.tapOn tptp.overflow)) % 19.73/19.94 (define @t496 () (and @t495 @t494)) % 19.73/19.94 (define @t497 () (and (= tptp.tapOn tptp.tapOff) @t494)) % 19.73/19.94 (define @t498 () (and @t495 @t117)) % 19.73/19.94 (define @t499 () (= tptp.filling tptp.filling)) % 19.73/19.94 (define @t500 () (= tptp.tapOn tptp.tapOn)) % 19.73/19.94 (define @t501 () (and @t500 @t499)) % 19.73/19.94 (define @t502 () (or @t501 @t498 @t497 @t496)) % 19.73/19.94 (define @t503 () (= @t493 @t502)) % 19.73/19.94 (define @t504 () (forall @t82 (= @t16 (or @t79 @t76 (and @t73 @t478) (and @t68 @t478))))) % 19.73/19.94 (define @t505 () (tptp.happens tptp.tapOn tptp.n0)) % 19.73/19.94 (define @t506 () (and (tptp.holdsAt @t256 tptp.n0) @t164 @t495)) % 19.73/19.94 (define @t507 () (and @t500 @t185)) % 19.73/19.94 (define @t508 () (or @t507 @t506)) % 19.73/19.94 (define @t509 () (= @t505 @t508)) % 19.73/19.94 (define @t510 () (tptp.holdsAt @t428 @t121)) % 19.73/19.94 (define @t511 () (not @t440)) % 19.73/19.94 (define @t512 () (not @t493)) % 19.73/19.94 (define @t513 () (not @t505)) % 19.73/19.94 (define @t514 () (or @t513 @t512 @t189 @t511 @t472 @t510)) % 19.73/19.94 (define @t515 () (and @t468 @t510)) % 19.73/19.94 (define @t516 () (@list false true false)) % 19.73/19.94 (define @t517 () (not @t337)) % 19.73/19.94 (define @t518 () (not @t338)) % 19.73/19.94 (define @t519 () (not @t339)) % 19.73/19.94 (define @t520 () (not @t335)) % 19.73/19.94 (define @t521 () (or @t520 (and (not (tptp.initiates @t329 @t162 tptp.n1)) (not (tptp.terminates @t329 @t162 tptp.n1))))) % 19.73/19.94 (define @t522 () (not @t521)) % 19.73/19.94 (define @t523 () (not @t328)) % 19.73/19.94 (define @t524 () (forall @t71 (not (= @t66 @t162)))) % 19.73/19.94 (define @t525 () (not @t524)) % 19.73/19.94 (define @t526 () (not (= @t162 @t66))) % 19.73/19.94 (define @t527 () (forall @t71 @t526)) % 19.73/19.94 (define @t528 () (not @t527)) % 19.73/19.94 (define @t529 () (and @t500 @t528)) % 19.73/19.94 (define @t530 () (tptp.releases tptp.tapOn @t162 tptp.n0)) % 19.73/19.94 (define @t531 () (= @t530 @t529)) % 19.73/19.94 (define @t532 () (= @t530 @t525)) % 19.73/19.94 (define @t533 () (not (= @t162 @t162))) % 19.73/19.94 (define @t534 () (not @t532)) % 19.73/19.94 (define @t535 () (tptp.releasedAt @t162 @t121)) % 19.73/19.94 (define @t536 () (not @t530)) % 19.73/19.94 (define @t537 () (or @t513 @t536 @t535)) % 19.73/19.94 (define @t538 () (@list false false false)) % 19.73/19.94 (define @t539 () (tptp.releasedAt @t162 tptp.n1)) % 19.73/19.94 (define @t540 () (and @t468 @t535)) % 19.73/19.94 (define @t541 () (tptp.releasedAt @t162 @t122)) % 19.73/19.94 (define @t542 () (not @t539)) % 19.73/19.94 (define @t543 () (or @t542 @t523 @t541)) % 19.73/19.94 (define @t544 () (not @t541)) % 19.73/19.94 (define @t545 () (= tptp.n0 @t122)) % 19.73/19.94 (define @t546 () (not @t545)) % 19.73/19.94 (define @t547 () (tptp.releasedAt @t162 tptp.n0)) % 19.73/19.94 (define @t548 () (not @t547)) % 19.73/19.94 (define @t549 () (= true false)) % 19.73/19.94 (define @t550 () (forall @t32 (or (not (tptp.happens @t3 @t122)) (not (tptp.releases @t3 tptp.filling @t122))))) % 19.73/19.94 (define @t551 () (@quantifiers_skolemize @t550 0)) % 19.73/19.94 (define @t552 () (and (= tptp.tapOn @t551) @t545)) % 19.73/19.94 (define @t553 () (not @t552)) % 19.73/19.94 (define @t554 () (tptp.happens @t551 @t122)) % 19.73/19.94 (define @t555 () (tptp.releases @t551 tptp.filling @t122)) % 19.73/19.94 (define @t556 () (not @t555)) % 19.73/19.94 (define @t557 () (not @t554)) % 19.73/19.94 (define @t558 () (or @t557 @t556)) % 19.73/19.94 (define @t559 () (tptp.holdsAt tptp.filling @t122)) % 19.73/19.94 (define @t560 () (tptp.holdsAt @t256 @t122)) % 19.73/19.94 (define @t561 () (and @t560 @t559 (= @t551 tptp.overflow))) % 19.73/19.94 (define @t562 () (and (= @t551 tptp.tapOn) (= @t122 tptp.n0))) % 19.73/19.94 (define @t563 () (or @t562 @t561)) % 19.73/19.94 (define @t564 () (= @t554 @t563)) % 19.73/19.94 (define @t565 () (= tptp.overflow @t551)) % 19.73/19.94 (define @t566 () (and @t560 @t559 @t565)) % 19.73/19.94 (define @t567 () (or @t552 @t566)) % 19.73/19.94 (define @t568 () (= @t554 @t567)) % 19.73/19.94 (define @t569 () (tptp.releases tptp.overflow tptp.filling @t122)) % 19.73/19.94 (define @t570 () (and @t112 @t302)) % 19.73/19.94 (define @t571 () (= @t569 @t570)) % 19.73/19.94 (define @t572 () (and @t495 @t302)) % 19.73/19.94 (define @t573 () (= @t572 @t569)) % 19.73/19.94 (define @t574 () (not @t572)) % 19.73/19.94 (define @t575 () (not @t569)) % 19.73/19.94 (define @t576 () (not @t565)) % 19.73/19.94 (define @t577 () (and @t575 @t565 @t555)) % 19.73/19.94 (define @t578 () (not @t558)) % 19.73/19.94 (define @t579 () (not @t550)) % 19.73/19.94 (define @t580 () (forall @t32 (or @t327 (not (tptp.releases @t3 tptp.filling tptp.n1))))) % 19.73/19.94 (define @t581 () (@quantifiers_skolemize @t580 0)) % 19.73/19.94 (define @t582 () (and (= @t581 tptp.tapOn) @t302)) % 19.73/19.94 (define @t583 () (tptp.releases @t581 tptp.filling tptp.n1)) % 19.73/19.94 (define @t584 () (= @t583 @t582)) % 19.73/19.94 (define @t585 () (and (= tptp.tapOn @t581) @t302)) % 19.73/19.94 (define @t586 () (= @t583 @t585)) % 19.73/19.94 (define @t587 () (not @t585)) % 19.73/19.94 (define @t588 () (not @t583)) % 19.73/19.94 (define @t589 () (or (not (tptp.happens @t581 tptp.n1)) @t588)) % 19.73/19.94 (define @t590 () (not @t589)) % 19.73/19.94 (define @t591 () (not @t580)) % 19.73/19.94 (define @t592 () (and @t512 (not (tptp.terminates tptp.tapOn tptp.filling tptp.n0)))) % 19.73/19.94 (define @t593 () (not @t592)) % 19.73/19.94 (define @t594 () (not (tptp.releasedAt tptp.filling @t121))) % 19.73/19.94 (define @t595 () (or @t513 @t592 @t594)) % 19.73/19.94 (define @t596 () (tptp.releasedAt tptp.filling tptp.n1)) % 19.73/19.94 (define @t597 () (tptp.releasedAt tptp.filling @t122)) % 19.73/19.94 (define @t598 () (not @t597)) % 19.73/19.94 (define @t599 () (or @t596 @t591 @t598)) % 19.73/19.94 (define @t600 () (@list true false false)) % 19.73/19.94 (define @t601 () (tptp.plus @t122 tptp.n1)) % 19.73/19.94 (define @t602 () (tptp.releasedAt tptp.filling @t601)) % 19.73/19.94 (define @t603 () (not @t602)) % 19.73/19.94 (define @t604 () (or @t597 @t579 @t603)) % 19.73/19.94 (define @t605 () (tptp.releasedAt tptp.filling @t198)) % 19.73/19.94 (define @t606 () (not @t605)) % 19.73/19.94 (define @t607 () (= @t198 @t601)) % 19.73/19.94 (define @t608 () (not @t607)) % 19.73/19.94 (define @t609 () (and @t603 @t607)) % 19.73/19.94 (define @t610 () (tptp.releasedAt tptp.filling @t282)) % 19.73/19.94 (define @t611 () (not @t610)) % 19.73/19.94 (define @t612 () (or @t605 @t317 @t611)) % 19.73/19.94 (define @t613 () (and @t257 @t255)) % 19.73/19.94 (define @t614 () (= tptp.overflow tptp.overflow)) % 19.73/19.94 (define @t615 () (and @t257 @t255 @t614)) % 19.73/19.94 (define @t616 () (and @t112 @t259)) % 19.73/19.94 (define @t617 () (or @t616 @t615)) % 19.73/19.94 (define @t618 () (tptp.happens tptp.overflow @t198)) % 19.73/19.94 (define @t619 () (= @t618 @t617)) % 19.73/19.94 (define @t620 () (or (and @t495 @t266) @t613)) % 19.73/19.94 (define @t621 () (= @t618 @t620)) % 19.73/19.94 (define @t622 () (tptp.terminates tptp.overflow tptp.filling @t198)) % 19.73/19.94 (define @t623 () (= tptp.overflow tptp.tapOff)) % 19.73/19.94 (define @t624 () (and @t614 @t499)) % 19.73/19.94 (define @t625 () (and @t623 @t499)) % 19.73/19.94 (define @t626 () (or @t625 @t624)) % 19.73/19.94 (define @t627 () (= @t622 @t626)) % 19.73/19.94 (define @t628 () (not @t283)) % 19.73/19.94 (define @t629 () (not @t622)) % 19.73/19.94 (define @t630 () (not @t618)) % 19.73/19.94 (define @t631 () (or @t630 @t629 @t628)) % 19.73/19.94 (define @t632 () (not @t620)) % 19.73/19.94 (define @t633 () (not @t255)) % 19.73/19.94 (define @t634 () (not @t253)) % 19.73/19.94 (define @t635 () (or @t255 @t610 @t634 @t628)) % 19.73/19.94 (define @t636 () (not @t262)) % 19.73/19.94 (define @t637 () (or @t636 (not (tptp.initiates @t254 tptp.filling @t198)))) % 19.73/19.94 (define @t638 () (not @t637)) % 19.73/19.94 (define @t639 () (not @t265)) % 19.73/19.94 (define @t640 () (not @t266)) % 19.73/19.94 (define @t641 () (not @t250)) % 19.73/19.94 (define @t642 () (and @t250 @t266 @t197)) % 19.73/19.94 (assume @p1 @t15) % 19.73/19.94 (assume @p2 (forall (@list @t7 @t5 @t2) (= (tptp.startedIn @t7 @t2 @t5) (exists @t11 (and @t9 @t8 @t6 @t16))))) % 19.73/19.94 (assume @p3 @t26) % 19.73/19.94 (assume @p4 (forall (@list @t3 @t7 @t28 @t5 @t19) (=> (and (tptp.happens @t3 @t7) (tptp.terminates @t3 @t28 @t7) (tptp.less tptp.n0 @t5) (tptp.antitrajectory @t28 @t7 @t19 @t5) (not (tptp.startedIn @t7 @t28 @t27))) (tptp.holdsAt @t19 @t27)))) % 19.73/19.94 (assume @p5 (forall @t36 (=> (and @t35 @t34 (not (exists @t32 @t31))) @t30))) % 19.73/19.94 (assume @p6 @t44) % 19.73/19.94 (assume @p7 @t52) % 19.73/19.94 (assume @p8 @t60) % 19.73/19.94 (assume @p9 (forall @t61 (=> @t38 @t30))) % 19.73/19.94 (assume @p10 @t62) % 19.73/19.94 (assume @p11 @t63) % 19.73/19.94 (assume @p12 @t64) % 19.73/19.94 (assume @p13 @t83) % 19.73/19.94 (assume @p14 @t84) % 19.73/19.94 (assume @p15 @t88) % 19.73/19.94 (assume @p16 @t96) % 19.73/19.94 (assume @p17 @t106) % 19.73/19.94 (assume @p18 @t111) % 19.73/19.94 (assume @p19 (not (= tptp.tapOff tptp.tapOn))) % 19.73/19.94 (assume @p20 (not (= tptp.tapOff tptp.overflow))) % 19.73/19.94 (assume @p21 (not @t112)) % 19.73/19.94 (assume @p22 @t116) % 19.73/19.94 (assume @p23 (forall @t115 (not (= tptp.spilling @t114)))) % 19.73/19.94 (assume @p24 (not @t117)) % 19.73/19.94 (assume @p25 (forall @t120 (= (= @t114 (tptp.waterLevel @t118)) @t119))) % 19.73/19.94 (assume @p26 (= (tptp.plus tptp.n0 tptp.n0) tptp.n0)) % 19.73/19.94 (assume @p27 (= @t121 tptp.n1)) % 19.73/19.94 (assume @p28 (= (tptp.plus tptp.n0 tptp.n2) tptp.n2)) % 19.73/19.94 (assume @p29 (= (tptp.plus tptp.n0 tptp.n3) tptp.n3)) % 19.73/19.94 (assume @p30 (= @t122 tptp.n2)) % 19.73/19.94 (assume @p31 (= @t123 tptp.n3)) % 19.73/19.94 (assume @p32 (= @t124 tptp.n4)) % 19.73/19.94 (assume @p33 (= (tptp.plus tptp.n2 tptp.n2) tptp.n4)) % 19.73/19.94 (assume @p34 (= @t125 tptp.n5)) % 19.73/19.94 (assume @p35 (= @t126 tptp.n6)) % 19.73/19.94 (assume @p36 (forall @t120 (= (tptp.plus @t113 @t118) (tptp.plus @t118 @t113)))) % 19.73/19.94 (assume @p37 @t128) % 19.73/19.94 (assume @p38 @t131) % 19.73/19.94 (assume @p39 @t132) % 19.73/19.94 (assume @p40 @t136) % 19.73/19.94 (assume @p41 @t140) % 19.73/19.94 (assume @p42 @t144) % 19.73/19.94 (assume @p43 @t148) % 19.73/19.94 (assume @p44 @t152) % 19.73/19.94 (assume @p45 @t156) % 19.73/19.94 (assume @p46 (forall @t115 (= (tptp.less @t113 tptp.n8) (tptp.less_or_equal @t113 tptp.n7)))) % 19.73/19.94 (assume @p47 (forall @t115 (= (tptp.less @t113 tptp.n9) (tptp.less_or_equal @t113 tptp.n8)))) % 19.73/19.94 (assume @p48 @t161) % 19.73/19.94 (assume @p49 @t163) % 19.73/19.94 (assume @p50 (not @t164)) % 19.73/19.94 (assume @p51 (not (tptp.holdsAt tptp.spilling tptp.n0))) % 19.73/19.94 (assume @p52 (forall @t71 (not (tptp.releasedAt @t66 tptp.n0)))) % 19.73/19.94 (assume @p53 (not (tptp.releasedAt tptp.filling tptp.n0))) % 19.73/19.94 (assume @p54 (not (tptp.releasedAt tptp.spilling tptp.n0))) % 19.73/19.94 (assume @p55 @t165) % 19.73/19.94 (assume @p56 (not (not @t166))) % 19.73/19.94 (assume @p57 true) % 19.73/19.94 (step @p58 :rule eq-symm :args (tptp.n1 tptp.n0)) % 19.73/19.94 (step @p59 :rule refl :args (@t167)) % 19.73/19.94 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t169)) % 19.73/19.94 (step @p61 :rule refl :args (@t170)) % 19.73/19.94 (step @p62 :rule cong :premises (@p61 @p60) :args (@t171)) % 19.73/19.94 (step @p63 :rule refl :args (@t128)) % 19.73/19.94 (step @p64 :rule cong :premises (@p63 @p62) :args ((=> @t128 @t171))) % 19.73/19.94 (assume-push @p1479 @t128) % 19.73/19.94 (step @p66 :rule instantiate :premises (@p37) :args ((@list tptp.n1 tptp.n0))) % 19.73/19.94 (step-pop @p1480 :rule scope :premises (@p66)) % 19.73/19.94 (step @p67 :rule process_scope :premises (@p1480) :args (@t171)) % 19.73/19.94 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 19.73/19.94 (step @p70 :rule implies_elim :premises (@p69)) % 19.73/19.94 (step @p71 :rule chain_m_resolution :premises (@p70 @p37) :args (@t174 @t175 @t176)) % 19.73/19.94 (step @p72 :rule bool-double-not-elim :args (@t177)) % 19.73/19.94 (step @p73 :rule exists-elim :args ((= @t130 (not @t177)))) % 19.73/19.94 (step @p74 :rule cong :premises (@p73) :args (@t131)) % 19.73/19.94 (step @p75 :rule trans :premises (@p74 @p72)) % 19.73/19.94 (step @p76 :rule eq_resolve :premises (@p38 @p75)) % 19.73/19.94 (step @p77 :rule instantiate :premises (@p76) :args (@t178)) % 19.73/19.94 (step @p78 :rule eq-symm :args (@t179 @t180)) % 19.73/19.94 (step @p79 :rule refl :args (@t132)) % 19.73/19.94 (step @p80 :rule cong :premises (@p79 @p78) :args ((=> @t132 @t181))) % 19.73/19.94 (assume-push @p1481 @t132) % 19.73/19.94 (step @p82 :rule instantiate :premises (@p39) :args (@t182)) % 19.73/19.94 (step-pop @p1482 :rule scope :premises (@p82)) % 19.73/19.94 (step @p83 :rule process_scope :premises (@p1482) :args (@t181)) % 19.73/19.94 (step @p85 :rule eq_resolve :premises (@p83 @p80)) % 19.73/19.94 (step @p86 :rule implies_elim :premises (@p85)) % 19.73/19.94 (step @p87 :rule chain_m_resolution :premises (@p86 @p39) :args (@t183 @t175 (@list @t132))) % 19.73/19.94 (step @p88 :rule bool-eq-true :args (@t180)) % 19.73/19.94 (step @p89 :rule absorb :args ((= (or @t184 true) true))) % 19.73/19.94 (step @p90 :rule eq-refl :args (tptp.n0)) % 19.73/19.94 (step @p91 :rule refl :args (@t184)) % 19.73/19.94 (step @p92 :rule nary_cong :premises (@p91 @p90) :args (@t186)) % 19.73/19.94 (step @p93 :rule trans :premises (@p92 @p89)) % 19.73/19.94 (step @p94 :rule refl :args (@t180)) % 19.73/19.94 (step @p95 :rule cong :premises (@p94 @p93) :args (@t187)) % 19.73/19.94 (step @p96 :rule trans :premises (@p95 @p88)) % 19.73/19.94 (step @p97 :rule cong :premises (@p63 @p96) :args ((=> @t128 @t187))) % 19.73/19.94 (assume-push @p1483 @t128) % 19.73/19.94 (step @p99 :rule instantiate :premises (@p37) :args ((@list tptp.n0 tptp.n0))) % 19.73/19.94 (step-pop @p1484 :rule scope :premises (@p99)) % 19.73/19.94 (step @p100 :rule process_scope :premises (@p1484) :args (@t187)) % 19.73/19.94 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 19.73/19.94 (step @p103 :rule implies_elim :premises (@p102)) % 19.73/19.94 (step @p104 :rule chain_m_resolution :premises (@p103 @p37) :args (@t180 @t175 @t176)) % 19.73/19.94 (step @p105 :rule cnf_equiv_pos1 :args (@t183)) % 19.73/19.94 (step @p106 :rule reordering :premises (@p105) :args ((or @t179 (not @t180) (not @t183)))) % 19.73/19.94 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p87) :args (@t179 @t188 (@list @t180 @t183))) % 19.73/19.94 (step @p108 :rule instantiate :premises (@p76) :args (@t182)) % 19.73/19.94 (step @p109 :rule refl :args (@t189)) % 19.73/19.94 (step @p110 :rule refl :args (@t190)) % 19.73/19.94 (step @p111 :rule bool-double-not-elim :args (@t184)) % 19.73/19.94 (step @p112 :rule nary_cong :premises (@p111 @p110 @p109) :args ((or (not @t191) @t190 @t189))) % 19.73/19.94 (assume-push @p1485 @t179) % 19.73/19.94 (assume-push @p1486 @t172) % 19.73/19.94 (assume-push @p1487 @t191) % 19.73/19.94 (step @p116 :rule evaluate :args (@t192)) % 19.73/19.94 (step @p117 :rule true_intro :premises (@p107)) % 19.73/19.94 (step @p118 :rule refl :args (tptp.n0)) % 19.73/19.94 (step @p119 :rule cong :premises (@p118 @p1486) :args (@t184)) % 19.73/19.94 (step @p120 :rule false_intro :premises (@p108)) % 19.73/19.94 (step @p121 :rule symm :premises (@p120)) % 19.73/19.94 (step @p122 :rule trans :premises (@p121 @p119 @p117)) % 19.73/19.94 (step @p123 false :rule eq_resolve :premises (@p122 @p116)) % 19.73/19.94 (step-pop @p1488 :rule scope :premises (@p123)) % 19.73/19.94 (step-pop @p1489 :rule scope :premises (@p1488)) % 19.73/19.94 (step-pop @p1490 :rule scope :premises (@p1489)) % 19.73/19.94 (step @p124 :rule process_scope :premises (@p1490) :args (false)) % 19.73/19.94 (assume-push @p1491 @t191) % 19.73/19.94 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@p1402 :rule chain_m_resolution :premises (@p1401 @p14) :args (@t622 @t175 (@list @t84))) % 19.73/19.94 (step @p1403 :rule cnf_or_pos :args (@t631)) % 19.73/19.94 (step @p1404 :rule reordering :premises (@p1403) :args ((or @t628 @t630 @t629 (not @t631)))) % 19.73/19.94 (step @p1405 :rule chain_m_resolution :premises (@p1404 @p377 @p1402 @p1376) :args (@t630 @t538 (@list @t283 @t622 @t631))) % 19.73/19.94 (step @p1406 :rule cnf_equiv_pos2 :args (@t621)) % 19.73/19.94 (step @p1407 :rule reordering :premises (@p1406) :args ((or @t618 @t632 (not @t621)))) % 19.73/19.94 (step @p1408 :rule chain_m_resolution :premises (@p1407 @p1405 @p1367) :args (@t632 @t194 (@list @t618 @t621))) % 19.73/19.94 (step @p1409 :rule cnf_or_neg :args (@t620 1)) % 19.73/19.94 (step @p1410 :rule chain_m_resolution :premises (@p1409 @p1408) :args ((not @t613) @t236 (@list @t620))) % 19.73/19.95 (step @p1411 :rule cong :premises (@p303 @p155) :args (@t165)) % 19.73/19.95 (step @p1412 :rule eq_resolve :premises (@p55 @p1411)) % 19.73/19.95 (step @p1413 :rule cnf_and_neg :args (@t613)) % 19.73/19.95 (step @p1414 :rule reordering :premises (@p1413) :args ((or (not @t257) @t633 @t613))) % 19.73/19.95 (step @p1415 :rule chain_m_resolution :premises (@p1414 @p1412 @p1410) :args (@t633 (@list false true) (@list @t257 @t613))) % 19.73/19.95 (step @p1416 :rule cnf_or_pos :args (@t635)) % 19.73/19.95 (step @p1417 :rule reordering :premises (@p1416) :args ((or @t255 @t610 @t628 @t634 (not @t635)))) % 19.73/19.95 (step @p1418 :rule chain_m_resolution :premises (@p1417 @p1415 @p1351 @p377 @p366) :args (@t634 (@list true true false false) (@list @t255 @t610 @t283 @t635))) % 19.73/19.95 (step @p1419 :rule refl :args (@t638)) % 19.73/19.95 (step @p1420 :rule bool-double-not-elim :args (@t253)) % 19.73/19.95 (step @p1421 :rule nary_cong :premises (@p1420 @p1419) :args ((or (not @t634) @t638))) % 19.73/19.95 (assume-push @p1623 @t634) % 19.73/19.95 (step @p1423 :rule skolemize :premises (@p1623)) % 19.73/19.95 (step-pop @p1624 :rule scope :premises (@p1423)) % 19.73/19.95 (step @p1424 :rule process_scope :premises (@p1624) :args (@t638)) % 19.73/19.95 (step @p1426 :rule implies_elim :premises (@p1424)) % 19.73/19.95 (step @p1427 :rule eq_resolve :premises (@p1426 @p1421)) % 19.73/19.95 (step @p1428 :rule chain_m_resolution :premises (@p1427 @p1418) :args (@t638 @t236 (@list @t253))) % 19.73/19.95 (step @p1429 :rule bool-double-not-elim :args (@t262)) % 19.73/19.95 (step @p1430 :rule refl :args (@t637)) % 19.73/19.95 (step @p1431 :rule nary_cong :premises (@p1430 @p1429) :args ((or @t637 (not @t636)))) % 19.73/19.95 (step @p1432 :rule cnf_or_neg :args (@t637 0)) % 19.73/19.95 (step @p1433 :rule eq_resolve :premises (@p1432 @p1431)) % 19.73/19.95 (step @p1434 :rule reordering :premises (@p1433) :args ((or @t262 @t637))) % 19.73/19.95 (step @p1435 :rule chain_m_resolution :premises (@p1434 @p1428) :args (@t262 @t236 (@list @t637))) % 19.73/19.95 (step @p1436 :rule cnf_equiv_pos1 :args (@t269)) % 19.73/19.95 (step @p1437 :rule reordering :premises (@p1436) :args ((or @t636 @t268 (not @t269)))) % 19.73/19.95 (step @p1438 :rule chain_m_resolution :premises (@p1437 @p1435 @p330) :args (@t268 @t188 (@list @t262 @t269))) % 19.73/19.95 (step @p1439 :rule cnf_and_pos :args (@t265 1)) % 19.73/19.95 (step @p1440 :rule reordering :premises (@p1439) :args ((or @t255 @t639))) % 19.73/19.95 (step @p1441 :rule chain_m_resolution :premises (@p1440 @p1415) :args (@t639 @t236 (@list @t255))) % 19.73/19.95 (step @p1442 :rule cnf_or_pos :args (@t268)) % 19.73/19.95 (step @p1443 :rule reordering :premises (@p1442) :args ((or @t267 @t265 (not @t268)))) % 19.73/19.95 (step @p1444 :rule chain_m_resolution :premises (@p1443 @p1441 @p1438) :args (@t267 @t194 (@list @t265 @t268))) % 19.73/19.95 (step @p1445 :rule cnf_and_pos :args (@t267 1)) % 19.73/19.95 (step @p1446 :rule reordering :premises (@p1445) :args ((or @t266 (not @t267)))) % 19.73/19.95 (step @p1447 :rule chain_m_resolution :premises (@p1446 @p1444) :args (@t266 @t175 (@list @t267))) % 19.73/19.95 (step @p1448 :rule refl :args (@t640)) % 19.73/19.95 (step @p1449 :rule bool-double-not-elim :args (@t170)) % 19.73/19.95 (step @p1450 :rule refl :args (@t641)) % 19.73/19.95 (step @p1451 :rule nary_cong :premises (@p1450 @p1449 @p1448) :args ((or @t641 (not @t197) @t640))) % 19.73/19.95 (assume-push @p1625 @t250) % 19.73/19.95 (assume-push @p1626 @t266) % 19.73/19.95 (assume-push @p1627 @t197) % 19.73/19.95 (step @p116 :rule evaluate :args (@t192)) % 19.73/19.95 (step @p1455 :rule true_intro :premises (@p299)) % 19.73/19.95 (step @p1456 :rule cong :premises (@p150 @p1626) :args (@t170)) % 19.73/19.95 (step @p1457 :rule false_intro :premises (@p1627)) % 19.73/19.95 (step @p1458 :rule symm :premises (@p1457)) % 19.73/19.95 (step @p1459 :rule trans :premises (@p1458 @p1456 @p1455)) % 19.73/19.95 (step @p1460 false :rule eq_resolve :premises (@p1459 @p116)) % 19.73/19.95 (step-pop @p1628 :rule scope :premises (@p1460)) % 19.73/19.95 (step-pop @p1629 :rule scope :premises (@p1628)) % 19.73/19.95 (step-pop @p1630 :rule scope :premises (@p1629)) % 19.73/19.95 (step @p1461 :rule process_scope :premises (@p1630) :args (false)) % 19.73/19.95 (assume-push @p1631 @t250) % 19.73/19.95 (assume-push @p1632 @t197) % 19.73/19.95 (assume-push @p1633 @t266) % 19.73/19.95 (step @p1468 :rule and_intro :premises (@p299 @p1633 @p1632)) % 19.73/19.95 (step-pop @p1634 :rule scope :premises (@p1468)) % 19.73/19.95 (step-pop @p1635 :rule scope :premises (@p1634)) % 19.73/19.95 (step-pop @p1636 :rule scope :premises (@p1635)) % 19.73/19.95 (step @p1469 :rule process_scope :premises (@p1636) :args (@t642)) % 19.73/19.95 (step @p1473 :rule implies_elim :premises (@p1469)) % 19.73/19.95 (step @p1474 :rule resolution :premises (@p1473 @p1461) :args (true @t642)) % 19.73/19.95 (step @p1475 :rule not_and :premises (@p1474)) % 19.73/19.95 (step @p1476 :rule eq_resolve :premises (@p1475 @p1451)) % 19.73/19.95 (step @p1477 :rule reordering :premises (@p1476) :args ((or @t170 @t641 @t640))) % 19.73/19.95 (step @p1478 false :rule chain_m_resolution :premises (@p1477 @p1447 @p299 @p146) :args (false (@list false false true) (@list @t266 @t250 @t170))) % 19.73/19.95 ) % 19.73/19.95 % SZS output end Proof % 19.73/19.95 % cvc5 exiting %------------------------------------------------------------------------------