%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR009+1 : 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 : n010.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 08:11:11 AM UTC 2026 % Result : Theorem 16.73s 16.94s % Output : Proof 16.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR009+1 : TPTP v9.2.1. Bugfixed v3.1.0. % 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 : n010.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 20:36:10 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 16.73/16.94 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.73/16.94 --- Run --no-e-matching --full-saturate-quant at 6... % 16.73/16.94 % SZS status Theorem % 16.73/16.94 % SZS output start Proof % 16.73/16.94 ( % 16.73/16.94 (declare-sort $$unsorted 0) % 16.73/16.94 (declare-const tptp.n7 $$unsorted) % 16.73/16.94 (declare-const tptp.n6 $$unsorted) % 16.73/16.94 (declare-const tptp.n5 $$unsorted) % 16.73/16.94 (declare-const tptp.n3 $$unsorted) % 16.73/16.94 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 16.73/16.94 (declare-const tptp.tapOn $$unsorted) % 16.73/16.94 (declare-const tptp.filling $$unsorted) % 16.73/16.94 (declare-const tptp.spilling $$unsorted) % 16.73/16.94 (declare-const tptp.overflow $$unsorted) % 16.73/16.94 (declare-const tptp.n2 $$unsorted) % 16.73/16.94 (declare-const tptp.waterLevel (-> $$unsorted $$unsorted)) % 16.73/16.94 (declare-const tptp.terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.73/16.94 (declare-const tptp.initiates (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.73/16.94 (declare-const tptp.antitrajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 16.73/16.94 (declare-const tptp.n9 $$unsorted) % 16.73/16.94 (declare-const tptp.n4 $$unsorted) % 16.73/16.94 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 16.73/16.94 (declare-const tptp.startedIn (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.73/16.94 (declare-const tptp.happens (-> $$unsorted $$unsorted Bool)) % 16.73/16.94 (declare-const tptp.releases (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.73/16.94 (declare-const tptp.holdsAt (-> $$unsorted $$unsorted Bool)) % 16.73/16.94 (declare-const tptp.stoppedIn (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.73/16.94 (declare-const tptp.trajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 16.73/16.94 (declare-const tptp.tapOff $$unsorted) % 16.73/16.94 (declare-const tptp.n0 $$unsorted) % 16.73/16.94 (declare-const tptp.n8 $$unsorted) % 16.73/16.94 (declare-const tptp.n1 $$unsorted) % 16.73/16.94 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 16.73/16.94 (declare-const tptp.releasedAt (-> $$unsorted $$unsorted Bool)) % 16.73/16.94 (define @t1 () (@var "Time" $$unsorted)) % 16.73/16.94 (define @t2 () (@var "Fluent" $$unsorted)) % 16.73/16.94 (define @t3 () (@var "Event" $$unsorted)) % 16.73/16.94 (define @t4 () (tptp.terminates @t3 @t2 @t1)) % 16.73/16.94 (define @t5 () (@var "Time2" $$unsorted)) % 16.73/16.94 (define @t6 () (tptp.less @t1 @t5)) % 16.73/16.94 (define @t7 () (@var "Time1" $$unsorted)) % 16.73/16.94 (define @t8 () (tptp.less @t7 @t1)) % 16.73/16.94 (define @t9 () (tptp.happens @t3 @t1)) % 16.73/16.94 (define @t10 () (and @t9 @t8 @t6 @t4)) % 16.73/16.94 (define @t11 () (@list @t3 @t1)) % 16.73/16.94 (define @t12 () (exists @t11 @t10)) % 16.73/16.94 (define @t13 () (tptp.stoppedIn @t7 @t2 @t5)) % 16.73/16.94 (define @t14 () (= @t13 @t12)) % 16.73/16.94 (define @t15 () (forall (@list @t7 @t2 @t5) @t14)) % 16.73/16.94 (define @t16 () (tptp.initiates @t3 @t2 @t1)) % 16.73/16.94 (define @t17 () (@var "Offset" $$unsorted)) % 16.73/16.94 (define @t18 () (tptp.plus @t1 @t17)) % 16.73/16.94 (define @t19 () (@var "Fluent2" $$unsorted)) % 16.73/16.94 (define @t20 () (tptp.holdsAt @t19 @t18)) % 16.73/16.94 (define @t21 () (tptp.stoppedIn @t1 @t2 @t18)) % 16.73/16.94 (define @t22 () (not @t21)) % 16.73/16.94 (define @t23 () (tptp.trajectory @t2 @t1 @t19 @t17)) % 16.73/16.94 (define @t24 () (tptp.less tptp.n0 @t17)) % 16.73/16.94 (define @t25 () (and @t9 @t16 @t24 @t23 @t22)) % 16.73/16.94 (define @t26 () (forall (@list @t3 @t1 @t2 @t19 @t17) (=> @t25 @t20))) % 16.73/16.94 (define @t27 () (tptp.plus @t7 @t5)) % 16.73/16.94 (define @t28 () (@var "Fluent1" $$unsorted)) % 16.73/16.94 (define @t29 () (tptp.plus @t1 tptp.n1)) % 16.73/16.94 (define @t30 () (tptp.holdsAt @t2 @t29)) % 16.73/16.94 (define @t31 () (and @t9 @t4)) % 16.73/16.94 (define @t32 () (@list @t3)) % 16.73/16.94 (define @t33 () (exists @t32 @t31)) % 16.73/16.94 (define @t34 () (not @t33)) % 16.73/16.94 (define @t35 () (tptp.releasedAt @t2 @t29)) % 16.73/16.94 (define @t36 () (not @t35)) % 16.73/16.94 (define @t37 () (tptp.holdsAt @t2 @t1)) % 16.73/16.94 (define @t38 () (and @t37 @t36 @t34)) % 16.73/16.94 (define @t39 () (=> @t38 @t30)) % 16.73/16.94 (define @t40 () (@list @t2 @t1)) % 16.73/16.94 (define @t41 () (forall @t40 @t39)) % 16.73/16.94 (define @t42 () (not @t30)) % 16.73/16.94 (define @t43 () (and @t9 @t16)) % 16.73/16.94 (define @t44 () (not @t37)) % 16.73/16.94 (define @t45 () (or @t16 @t4)) % 16.73/16.94 (define @t46 () (and @t9 @t45)) % 16.73/16.94 (define @t47 () (tptp.releasedAt @t2 @t1)) % 16.73/16.94 (define @t48 () (tptp.releases @t3 @t2 @t1)) % 16.73/16.94 (define @t49 () (and @t9 @t48)) % 16.73/16.94 (define @t50 () (exists @t32 @t49)) % 16.73/16.94 (define @t51 () (not @t50)) % 16.73/16.94 (define @t52 () (not @t47)) % 16.73/16.94 (define @t53 () (and @t52 @t51)) % 16.73/16.94 (define @t54 () (=> @t53 @t36)) % 16.73/16.94 (define @t55 () (forall @t40 @t54)) % 16.73/16.94 (define @t56 () (@list @t3 @t1 @t2)) % 16.73/16.94 (define @t57 () (forall @t56 (=> @t43 @t30))) % 16.73/16.94 (define @t58 () (forall @t56 (=> @t46 @t36))) % 16.73/16.94 (define @t59 () (@var "Height" $$unsorted)) % 16.73/16.94 (define @t60 () (tptp.waterLevel @t59)) % 16.73/16.94 (define @t61 () (= @t2 @t60)) % 16.73/16.94 (define @t62 () (= @t3 tptp.overflow)) % 16.73/16.94 (define @t63 () (tptp.holdsAt @t60 @t1)) % 16.73/16.94 (define @t64 () (and @t63 @t62 @t61)) % 16.73/16.94 (define @t65 () (@list @t59)) % 16.73/16.94 (define @t66 () (exists @t65 @t64)) % 16.73/16.94 (define @t67 () (= @t3 tptp.tapOff)) % 16.73/16.94 (define @t68 () (and @t63 @t67 @t61)) % 16.73/16.94 (define @t69 () (exists @t65 @t68)) % 16.73/16.94 (define @t70 () (and @t62 (= @t2 tptp.spilling))) % 16.73/16.94 (define @t71 () (= @t2 tptp.filling)) % 16.73/16.94 (define @t72 () (= @t3 tptp.tapOn)) % 16.73/16.94 (define @t73 () (and @t72 @t71)) % 16.73/16.94 (define @t74 () (or @t73 @t70 @t69 @t66)) % 16.73/16.94 (define @t75 () (= @t16 @t74)) % 16.73/16.94 (define @t76 () (@list @t3 @t2 @t1)) % 16.73/16.94 (define @t77 () (forall @t76 @t75)) % 16.73/16.94 (define @t78 () (and @t72 @t61)) % 16.73/16.94 (define @t79 () (exists @t65 @t78)) % 16.73/16.94 (define @t80 () (= @t48 @t79)) % 16.73/16.94 (define @t81 () (forall @t76 @t80)) % 16.73/16.94 (define @t82 () (tptp.holdsAt tptp.filling @t1)) % 16.73/16.94 (define @t83 () (tptp.waterLevel tptp.n3)) % 16.73/16.94 (define @t84 () (tptp.holdsAt @t83 @t1)) % 16.73/16.94 (define @t85 () (and @t84 @t82 @t62)) % 16.73/16.94 (define @t86 () (and @t72 (= @t1 tptp.n0))) % 16.73/16.94 (define @t87 () (or @t86 @t85)) % 16.73/16.94 (define @t88 () (= @t9 @t87)) % 16.73/16.94 (define @t89 () (forall @t11 @t88)) % 16.73/16.94 (define @t90 () (@var "Height2" $$unsorted)) % 16.73/16.94 (define @t91 () (tptp.waterLevel @t90)) % 16.73/16.94 (define @t92 () (tptp.trajectory tptp.filling @t1 @t91 @t17)) % 16.73/16.94 (define @t93 () (@var "Height1" $$unsorted)) % 16.73/16.94 (define @t94 () (tptp.plus @t93 @t17)) % 16.73/16.94 (define @t95 () (= @t90 @t94)) % 16.73/16.94 (define @t96 () (tptp.holdsAt (tptp.waterLevel @t93) @t1)) % 16.73/16.94 (define @t97 () (and @t96 @t95)) % 16.73/16.94 (define @t98 () (@list @t93 @t1 @t90 @t17)) % 16.73/16.94 (define @t99 () (forall @t98 (=> @t97 @t92))) % 16.73/16.94 (define @t100 () (= @t93 @t90)) % 16.73/16.94 (define @t101 () (tptp.holdsAt @t91 @t1)) % 16.73/16.94 (define @t102 () (and @t96 @t101)) % 16.73/16.94 (define @t103 () (@list @t1 @t93 @t90)) % 16.73/16.94 (define @t104 () (forall @t103 (=> @t102 @t100))) % 16.73/16.94 (define @t105 () (@var "X" $$unsorted)) % 16.73/16.94 (define @t106 () (tptp.waterLevel @t105)) % 16.73/16.94 (define @t107 () (@list @t105)) % 16.73/16.94 (define @t108 () (forall @t107 (not (= tptp.filling @t106)))) % 16.73/16.94 (define @t109 () (= tptp.filling tptp.spilling)) % 16.73/16.94 (define @t110 () (@var "Y" $$unsorted)) % 16.73/16.94 (define @t111 () (= @t105 @t110)) % 16.73/16.94 (define @t112 () (@list @t105 @t110)) % 16.73/16.94 (define @t113 () (tptp.plus tptp.n0 tptp.n1)) % 16.73/16.94 (define @t114 () (tptp.plus tptp.n1 tptp.n1)) % 16.73/16.94 (define @t115 () (tptp.plus tptp.n1 tptp.n2)) % 16.73/16.94 (define @t116 () (tptp.plus tptp.n1 tptp.n3)) % 16.73/16.94 (define @t117 () (tptp.plus tptp.n2 tptp.n3)) % 16.73/16.94 (define @t118 () (tptp.plus tptp.n3 tptp.n3)) % 16.73/16.94 (define @t119 () (tptp.less @t105 @t110)) % 16.73/16.94 (define @t120 () (forall @t112 (= (tptp.less_or_equal @t105 @t110) (or @t119 @t111)))) % 16.73/16.94 (define @t121 () (tptp.less @t105 tptp.n0)) % 16.73/16.94 (define @t122 () (exists @t107 @t121)) % 16.73/16.94 (define @t123 () (not @t122)) % 16.73/16.94 (define @t124 () (forall @t107 (= (tptp.less @t105 tptp.n1) (tptp.less_or_equal @t105 tptp.n0)))) % 16.73/16.94 (define @t125 () (tptp.less_or_equal @t105 tptp.n2)) % 16.73/16.94 (define @t126 () (tptp.less @t105 tptp.n3)) % 16.73/16.94 (define @t127 () (= @t126 @t125)) % 16.73/16.94 (define @t128 () (forall @t107 @t127)) % 16.73/16.94 (define @t129 () (tptp.less_or_equal @t105 tptp.n3)) % 16.73/16.94 (define @t130 () (tptp.less @t105 tptp.n4)) % 16.73/16.94 (define @t131 () (= @t130 @t129)) % 16.73/16.94 (define @t132 () (forall @t107 @t131)) % 16.73/16.94 (define @t133 () (tptp.less_or_equal @t105 tptp.n4)) % 16.73/16.94 (define @t134 () (tptp.less @t105 tptp.n5)) % 16.73/16.94 (define @t135 () (= @t134 @t133)) % 16.73/16.94 (define @t136 () (forall @t107 @t135)) % 16.73/16.94 (define @t137 () (tptp.less_or_equal @t105 tptp.n5)) % 16.73/16.94 (define @t138 () (tptp.less @t105 tptp.n6)) % 16.73/16.94 (define @t139 () (= @t138 @t137)) % 16.73/16.94 (define @t140 () (forall @t107 @t139)) % 16.73/16.94 (define @t141 () (tptp.less_or_equal @t105 tptp.n6)) % 16.73/16.94 (define @t142 () (tptp.less @t105 tptp.n7)) % 16.73/16.94 (define @t143 () (= @t142 @t141)) % 16.73/16.94 (define @t144 () (forall @t107 @t143)) % 16.73/16.94 (define @t145 () (not (= @t110 @t105))) % 16.73/16.94 (define @t146 () (not (tptp.less @t110 @t105))) % 16.73/16.94 (define @t147 () (and @t146 @t145)) % 16.73/16.94 (define @t148 () (= @t119 @t147)) % 16.73/16.94 (define @t149 () (forall @t112 @t148)) % 16.73/16.94 (define @t150 () (tptp.holdsAt (tptp.waterLevel tptp.n0) tptp.n0)) % 16.73/16.94 (define @t151 () (tptp.holdsAt tptp.filling tptp.n0)) % 16.73/16.94 (define @t152 () (tptp.holdsAt tptp.filling tptp.n2)) % 16.73/16.94 (define @t153 () (not @t152)) % 16.73/16.94 (define @t154 () (not @t101)) % 16.73/16.94 (define @t155 () (not @t96)) % 16.73/16.94 (define @t156 () (or @t155 @t154 @t100)) % 16.73/16.94 (define @t157 () (tptp.plus tptp.n1 @t114)) % 16.73/16.94 (define @t158 () (tptp.waterLevel tptp.n1)) % 16.73/16.94 (define @t159 () (tptp.holdsAt @t158 tptp.n1)) % 16.73/16.94 (define @t160 () (not @t159)) % 16.73/16.94 (define @t161 () (tptp.waterLevel @t157)) % 16.73/16.94 (define @t162 () (tptp.holdsAt @t161 tptp.n1)) % 16.73/16.94 (define @t163 () (not @t162)) % 16.73/16.94 (define @t164 () (or @t163 @t160 (= @t157 tptp.n1))) % 16.73/16.94 (define @t165 () (forall @t103 @t156)) % 16.73/16.94 (define @t166 () (= tptp.n1 @t157)) % 16.73/16.94 (define @t167 () (or @t163 @t160 @t166)) % 16.73/16.94 (define @t168 () (@list false)) % 16.73/16.94 (define @t169 () (not (tptp.happens @t3 tptp.n1))) % 16.73/16.94 (define @t170 () (forall @t32 (or @t169 (not (tptp.terminates @t3 tptp.filling tptp.n1))))) % 16.73/16.94 (define @t171 () (@quantifiers_skolemize @t170 0)) % 16.73/16.94 (define @t172 () (tptp.holdsAt tptp.filling tptp.n1)) % 16.73/16.94 (define @t173 () (and @t162 @t172 (= @t171 tptp.overflow))) % 16.73/16.94 (define @t174 () (and (= @t171 tptp.tapOn) (= tptp.n1 tptp.n0))) % 16.73/16.94 (define @t175 () (or @t174 @t173)) % 16.73/16.94 (define @t176 () (tptp.happens @t171 tptp.n1)) % 16.73/16.94 (define @t177 () (= @t176 @t175)) % 16.73/16.94 (define @t178 () (forall @t11 (= @t9 (or @t86 (and (tptp.holdsAt @t161 @t1) @t82 @t62))))) % 16.73/16.94 (define @t179 () (and @t162 @t172 (= tptp.overflow @t171))) % 16.73/16.94 (define @t180 () (= tptp.n0 tptp.n1)) % 16.73/16.94 (define @t181 () (and (= tptp.tapOn @t171) @t180)) % 16.73/16.94 (define @t182 () (or @t181 @t179)) % 16.73/16.94 (define @t183 () (= @t176 @t182)) % 16.73/16.94 (define @t184 () (@list @t178)) % 16.73/16.94 (define @t185 () (not @t4)) % 16.73/16.94 (define @t186 () (not @t9)) % 16.73/16.94 (define @t187 () (forall @t32 (or @t186 @t185))) % 16.73/16.94 (define @t188 () (not @t187)) % 16.73/16.94 (define @t189 () (not @t36)) % 16.73/16.94 (define @t190 () (or @t44 @t189 @t188)) % 16.73/16.94 (define @t191 () (and @t37 @t36 @t187)) % 16.73/16.94 (define @t192 () (forall @t32 (not @t31))) % 16.73/16.94 (define @t193 () (not @t192)) % 16.73/16.94 (define @t194 () (@list tptp.filling tptp.n1)) % 16.73/16.94 (define @t195 () (forall @t32 (or @t186 (not @t48)))) % 16.73/16.94 (define @t196 () (not @t195)) % 16.73/16.94 (define @t197 () (and @t52 @t195)) % 16.73/16.94 (define @t198 () (forall @t32 (not @t49))) % 16.73/16.94 (define @t199 () (not @t198)) % 16.73/16.94 (define @t200 () (not @t61)) % 16.73/16.94 (define @t201 () (forall @t65 @t200)) % 16.73/16.94 (define @t202 () (not @t201)) % 16.73/16.94 (define @t203 () (not @t72)) % 16.73/16.94 (define @t204 () (or @t203 @t201)) % 16.73/16.94 (define @t205 () (= @t48 (not @t204))) % 16.73/16.94 (define @t206 () (forall @t65 (not @t78))) % 16.73/16.94 (define @t207 () (not @t206)) % 16.73/16.94 (define @t208 () (not (= tptp.filling @t60))) % 16.73/16.94 (define @t209 () (forall @t65 @t208)) % 16.73/16.94 (define @t210 () (not @t209)) % 16.73/16.94 (define @t211 () (forall @t32 (or @t169 (not (tptp.releases @t3 tptp.filling tptp.n1))))) % 16.73/16.94 (define @t212 () (@quantifiers_skolemize @t211 0)) % 16.73/16.94 (define @t213 () (and (= @t212 tptp.tapOn) @t210)) % 16.73/16.94 (define @t214 () (tptp.releases @t212 tptp.filling tptp.n1)) % 16.73/16.94 (define @t215 () (= @t214 @t213)) % 16.73/16.94 (define @t216 () (forall @t76 (= @t48 (and @t72 @t202)))) % 16.73/16.94 (define @t217 () (and (= tptp.tapOn @t212) @t210)) % 16.73/16.94 (define @t218 () (= @t214 @t217)) % 16.73/16.94 (define @t219 () (not @t217)) % 16.73/16.94 (define @t220 () (not @t214)) % 16.73/16.94 (define @t221 () (@list true false)) % 16.73/16.94 (define @t222 () (or (not (tptp.happens @t212 tptp.n1)) @t220)) % 16.73/16.94 (define @t223 () (@list true)) % 16.73/16.94 (define @t224 () (not @t222)) % 16.73/16.94 (define @t225 () (not @t211)) % 16.73/16.94 (define @t226 () (not @t16)) % 16.73/16.94 (define @t227 () (and @t226 @t185)) % 16.73/16.94 (define @t228 () (@list tptp.tapOn tptp.n0 tptp.filling)) % 16.73/16.94 (define @t229 () (not @t63)) % 16.73/16.94 (define @t230 () (or @t229 @t200)) % 16.73/16.94 (define @t231 () (forall @t65 @t230)) % 16.73/16.94 (define @t232 () (not @t231)) % 16.73/16.94 (define @t233 () (not @t62)) % 16.73/16.94 (define @t234 () (not @t67)) % 16.73/16.94 (define @t235 () (or @t233 @t231)) % 16.73/16.94 (define @t236 () (or @t234 @t231)) % 16.73/16.94 (define @t237 () (or @t73 @t70 (not @t236) (not @t235))) % 16.73/16.94 (define @t238 () (= @t16 @t237)) % 16.73/16.94 (define @t239 () (or @t233 @t230)) % 16.73/16.94 (define @t240 () (or @t229 @t233 @t200)) % 16.73/16.94 (define @t241 () (forall @t65 (not @t64))) % 16.73/16.94 (define @t242 () (not @t241)) % 16.73/16.94 (define @t243 () (or @t234 @t230)) % 16.73/16.94 (define @t244 () (or @t229 @t234 @t200)) % 16.73/16.94 (define @t245 () (forall @t65 (not @t68))) % 16.73/16.94 (define @t246 () (not @t245)) % 16.73/16.94 (define @t247 () (tptp.initiates tptp.tapOn tptp.filling tptp.n0)) % 16.73/16.94 (define @t248 () (not (forall @t65 (or (not (tptp.holdsAt @t60 tptp.n0)) @t208)))) % 16.73/16.94 (define @t249 () (= tptp.tapOn tptp.overflow)) % 16.73/16.94 (define @t250 () (and @t249 @t248)) % 16.73/16.94 (define @t251 () (and (= tptp.tapOn tptp.tapOff) @t248)) % 16.73/16.94 (define @t252 () (and @t249 @t109)) % 16.73/16.94 (define @t253 () (= tptp.tapOn tptp.tapOn)) % 16.73/16.94 (define @t254 () (and @t253 (= tptp.filling tptp.filling))) % 16.73/16.94 (define @t255 () (or @t254 @t252 @t251 @t250)) % 16.73/16.94 (define @t256 () (= @t247 @t255)) % 16.73/16.94 (define @t257 () (forall @t76 (= @t16 (or @t73 @t70 (and @t67 @t232) (and @t62 @t232))))) % 16.73/16.94 (define @t258 () (not @t247)) % 16.73/16.94 (define @t259 () (and @t258 (not (tptp.terminates tptp.tapOn tptp.filling tptp.n0)))) % 16.73/16.94 (define @t260 () (not @t259)) % 16.73/16.94 (define @t261 () (tptp.happens tptp.tapOn tptp.n0)) % 16.73/16.94 (define @t262 () (and (tptp.holdsAt @t161 tptp.n0) @t151 @t249)) % 16.73/16.94 (define @t263 () (= tptp.n0 tptp.n0)) % 16.73/16.94 (define @t264 () (and @t253 @t263)) % 16.73/16.94 (define @t265 () (or @t264 @t262)) % 16.73/16.94 (define @t266 () (= @t261 @t265)) % 16.73/16.94 (define @t267 () (not (tptp.releasedAt tptp.filling @t113))) % 16.73/16.94 (define @t268 () (not @t261)) % 16.73/16.94 (define @t269 () (or @t268 @t259 @t267)) % 16.73/16.94 (define @t270 () (tptp.releasedAt tptp.filling tptp.n1)) % 16.73/16.94 (define @t271 () (tptp.releasedAt tptp.filling @t114)) % 16.73/16.94 (define @t272 () (not @t271)) % 16.73/16.94 (define @t273 () (or @t270 @t225 @t272)) % 16.73/16.94 (define @t274 () (tptp.holdsAt tptp.filling @t113)) % 16.73/16.94 (define @t275 () (or @t268 @t258 @t274)) % 16.73/16.94 (define @t276 () (@list false false false)) % 16.73/16.94 (define @t277 () (tptp.holdsAt tptp.filling @t114)) % 16.73/16.94 (define @t278 () (not @t170)) % 16.73/16.94 (define @t279 () (not @t172)) % 16.73/16.94 (define @t280 () (or @t279 @t271 @t278 @t277)) % 16.73/16.94 (define @t281 () (not @t176)) % 16.73/16.94 (define @t282 () (or @t281 (not (tptp.terminates @t171 tptp.filling tptp.n1)))) % 16.73/16.94 (define @t283 () (not @t282)) % 16.73/16.94 (define @t284 () (@list false false)) % 16.73/16.94 (define @t285 () (tptp.less tptp.n0 tptp.n1)) % 16.73/16.94 (define @t286 () (tptp.less_or_equal tptp.n0 tptp.n0)) % 16.73/16.94 (define @t287 () (= @t285 @t286)) % 16.73/16.94 (define @t288 () (@list tptp.n0)) % 16.73/16.94 (define @t289 () (= @t286 @t285)) % 16.73/16.94 (define @t290 () (tptp.less tptp.n0 tptp.n0)) % 16.73/16.94 (define @t291 () (or @t290 @t263)) % 16.73/16.94 (define @t292 () (= @t286 @t291)) % 16.73/16.94 (define @t293 () (@list @t120)) % 16.73/16.94 (define @t294 () (forall @t107 (not @t121))) % 16.73/16.94 (define @t295 () (not @t285)) % 16.73/16.94 (define @t296 () (not @t180)) % 16.73/16.94 (define @t297 () (not @t290)) % 16.73/16.94 (define @t298 () (and @t285 @t180 @t297)) % 16.73/16.94 (define @t299 () (not @t181)) % 16.73/16.94 (define @t300 () (not @t23)) % 16.73/16.94 (define @t301 () (not @t24)) % 16.73/16.94 (define @t302 () (not @t22)) % 16.73/16.94 (define @t303 () (or @t186 @t226 @t301 @t300 @t302)) % 16.73/16.94 (define @t304 () (tptp.waterLevel @t113)) % 16.73/16.94 (define @t305 () (tptp.trajectory tptp.filling @t1 (tptp.waterLevel @t94) @t17)) % 16.73/16.94 (define @t306 () (not (= @t94 @t94))) % 16.73/16.94 (define @t307 () (or @t155 @t306 @t305)) % 16.73/16.94 (define @t308 () (@list @t93 @t1 @t17)) % 16.73/16.94 (define @t309 () (not @t95)) % 16.73/16.94 (define @t310 () (or @t309 @t155 @t309 @t92)) % 16.73/16.94 (define @t311 () (@list @t90)) % 16.73/16.94 (define @t312 () (or @t155 @t309 @t92)) % 16.73/16.94 (define @t313 () (forall @t311 @t312)) % 16.73/16.94 (define @t314 () (forall @t308 @t313)) % 16.73/16.94 (define @t315 () (forall (@list @t93 @t1 @t17 @t90) @t312)) % 16.73/16.94 (define @t316 () (tptp.trajectory tptp.filling tptp.n0 @t304 tptp.n1)) % 16.73/16.94 (define @t317 () (not @t150)) % 16.73/16.94 (define @t318 () (or @t317 @t316)) % 16.73/16.94 (define @t319 () (not @t6)) % 16.73/16.94 (define @t320 () (not @t8)) % 16.73/16.94 (define @t321 () (forall @t11 (not @t10))) % 16.73/16.94 (define @t322 () (not @t321)) % 16.73/16.94 (define @t323 () (forall @t11 (or @t186 (not (tptp.less tptp.n0 @t1)) (not (tptp.less @t1 @t113)) (not (tptp.terminates @t3 tptp.filling @t1))))) % 16.73/16.94 (define @t324 () (@quantifiers_skolemize @t323 1)) % 16.73/16.94 (define @t325 () (tptp.less tptp.n0 @t324)) % 16.73/16.94 (define @t326 () (@quantifiers_skolemize @t323 0)) % 16.73/16.94 (define @t327 () (tptp.less @t324 @t113)) % 16.73/16.94 (define @t328 () (not @t327)) % 16.73/16.94 (define @t329 () (not @t325)) % 16.73/16.94 (define @t330 () (or (not (tptp.happens @t326 @t324)) @t329 @t328 (not (tptp.terminates @t326 tptp.filling @t324)))) % 16.73/16.94 (define @t331 () (= tptp.n0 @t324)) % 16.73/16.94 (define @t332 () (not @t331)) % 16.73/16.94 (define @t333 () (tptp.less @t324 tptp.n0)) % 16.73/16.94 (define @t334 () (and (not @t333) @t332)) % 16.73/16.94 (define @t335 () (= @t325 @t334)) % 16.73/16.94 (define @t336 () (@list @t324)) % 16.73/16.94 (define @t337 () (or @t333 @t331)) % 16.73/16.94 (define @t338 () (or @t333 (= @t324 tptp.n0))) % 16.73/16.94 (define @t339 () (tptp.less_or_equal @t324 tptp.n0)) % 16.73/16.94 (define @t340 () (= @t339 @t338)) % 16.73/16.94 (define @t341 () (= @t339 @t337)) % 16.73/16.94 (define @t342 () (tptp.less @t324 tptp.n1)) % 16.73/16.94 (define @t343 () (= @t342 @t339)) % 16.73/16.94 (define @t344 () (= tptp.n1 @t113)) % 16.73/16.94 (define @t345 () (and @t344 @t327)) % 16.73/16.94 (define @t346 () (not @t330)) % 16.73/16.94 (define @t347 () (not @t323)) % 16.73/16.94 (define @t348 () (tptp.stoppedIn tptp.n0 tptp.filling @t113)) % 16.73/16.94 (define @t349 () (= @t348 @t347)) % 16.73/16.94 (define @t350 () (not @t348)) % 16.73/16.94 (define @t351 () (tptp.holdsAt @t304 @t113)) % 16.73/16.94 (define @t352 () (not @t316)) % 16.73/16.94 (define @t353 () (or @t268 @t258 @t295 @t352 @t348 @t351)) % 16.73/16.94 (define @t354 () (and @t344 @t351)) % 16.73/16.94 (define @t355 () (tptp.plus tptp.n1 @t157)) % 16.73/16.94 (define @t356 () (tptp.less @t105 @t355)) % 16.73/16.94 (define @t357 () (tptp.less_or_equal @t105 @t157)) % 16.73/16.94 (define @t358 () (@list tptp.n7)) % 16.73/16.94 (define @t359 () (tptp.plus @t114 @t157)) % 16.73/16.94 (define @t360 () (tptp.less @t105 @t359)) % 16.73/16.94 (define @t361 () (tptp.less_or_equal @t105 @t355)) % 16.73/16.94 (define @t362 () (tptp.plus @t157 @t157)) % 16.73/16.94 (define @t363 () (tptp.less @t105 @t362)) % 16.73/16.94 (define @t364 () (tptp.less_or_equal @t105 @t359)) % 16.73/16.94 (define @t365 () (tptp.less tptp.n7 tptp.n7)) % 16.73/16.94 (define @t366 () (not @t365)) % 16.73/16.94 (define @t367 () (not (= tptp.n7 tptp.n7))) % 16.73/16.94 (define @t368 () (and @t366 @t367)) % 16.73/16.94 (define @t369 () (= @t365 @t368)) % 16.73/16.94 (define @t370 () (forall @t112 (= @t119 (and @t146 (not @t111))))) % 16.73/16.94 (define @t371 () (@list @t370)) % 16.73/16.94 (define @t372 () (tptp.less_or_equal tptp.n7 @t362)) % 16.73/16.94 (define @t373 () (= @t365 @t372)) % 16.73/16.94 (define @t374 () (not @t372)) % 16.73/16.94 (define @t375 () (tptp.less tptp.n7 @t362)) % 16.73/16.94 (define @t376 () (or @t375 (= tptp.n7 @t362))) % 16.73/16.94 (define @t377 () (= @t372 @t376)) % 16.73/16.94 (define @t378 () (not @t376)) % 16.73/16.94 (define @t379 () (not @t375)) % 16.73/16.94 (define @t380 () (tptp.less_or_equal tptp.n7 @t359)) % 16.73/16.94 (define @t381 () (= @t380 @t375)) % 16.73/16.94 (define @t382 () (not @t380)) % 16.73/16.94 (define @t383 () (tptp.less tptp.n7 @t359)) % 16.73/16.94 (define @t384 () (or @t383 (= tptp.n7 @t359))) % 16.73/16.94 (define @t385 () (= @t380 @t384)) % 16.73/16.94 (define @t386 () (not @t384)) % 16.73/16.94 (define @t387 () (not @t383)) % 16.73/16.94 (define @t388 () (tptp.less_or_equal tptp.n7 @t355)) % 16.73/16.94 (define @t389 () (= @t388 @t383)) % 16.73/16.94 (define @t390 () (not @t388)) % 16.73/16.94 (define @t391 () (tptp.less tptp.n7 @t355)) % 16.73/16.94 (define @t392 () (or @t391 (= tptp.n7 @t355))) % 16.73/16.94 (define @t393 () (= @t388 @t392)) % 16.73/16.94 (define @t394 () (not @t392)) % 16.73/16.94 (define @t395 () (not @t391)) % 16.73/16.94 (define @t396 () (tptp.less_or_equal tptp.n7 @t157)) % 16.73/16.94 (define @t397 () (= @t396 @t391)) % 16.73/16.94 (define @t398 () (not @t396)) % 16.73/16.94 (define @t399 () (tptp.less tptp.n7 @t157)) % 16.73/16.94 (define @t400 () (or @t399 (= tptp.n7 @t157))) % 16.73/16.94 (define @t401 () (= @t396 @t400)) % 16.73/16.94 (define @t402 () (not @t400)) % 16.73/16.94 (define @t403 () (not @t399)) % 16.73/16.94 (define @t404 () (tptp.less tptp.n7 tptp.n1)) % 16.73/16.94 (define @t405 () (not @t404)) % 16.73/16.94 (define @t406 () (not @t166)) % 16.73/16.94 (define @t407 () (and @t403 @t166)) % 16.73/16.94 (define @t408 () (or @t404 (= tptp.n7 tptp.n1))) % 16.73/16.94 (define @t409 () (tptp.less_or_equal tptp.n7 tptp.n1)) % 16.73/16.94 (define @t410 () (= @t409 @t408)) % 16.73/16.94 (define @t411 () (= tptp.n1 tptp.n7)) % 16.73/16.94 (define @t412 () (or @t404 @t411)) % 16.73/16.94 (define @t413 () (= @t409 @t412)) % 16.73/16.94 (define @t414 () (not @t409)) % 16.73/16.94 (define @t415 () (and @t398 @t166)) % 16.73/16.94 (define @t416 () (not @t412)) % 16.73/16.94 (define @t417 () (not @t411)) % 16.73/16.94 (define @t418 () (tptp.less @t105 @t157)) % 16.73/16.94 (define @t419 () (tptp.less_or_equal @t105 @t114)) % 16.73/16.94 (define @t420 () (tptp.less @t157 @t157)) % 16.73/16.94 (define @t421 () (not @t420)) % 16.73/16.94 (define @t422 () (not (= @t157 @t157))) % 16.73/16.94 (define @t423 () (and @t421 @t422)) % 16.73/16.94 (define @t424 () (= @t420 @t423)) % 16.73/16.94 (define @t425 () (tptp.less_or_equal @t157 @t114)) % 16.73/16.94 (define @t426 () (= @t425 @t420)) % 16.73/16.94 (define @t427 () (not @t425)) % 16.73/16.94 (define @t428 () (tptp.less_or_equal tptp.n1 @t362)) % 16.73/16.94 (define @t429 () (not @t428)) % 16.73/16.94 (define @t430 () (and @t166 @t427)) % 16.73/16.94 (define @t431 () (tptp.less tptp.n1 tptp.n7)) % 16.73/16.94 (define @t432 () (= @t431 @t428)) % 16.73/16.94 (define @t433 () (not @t431)) % 16.73/16.94 (define @t434 () (and @t405 @t417)) % 16.73/16.94 (define @t435 () (= @t431 @t434)) % 16.73/16.94 (define @t436 () (not @t434)) % 16.73/16.94 (assume @p1 @t15) % 16.73/16.94 (assume @p2 (forall (@list @t7 @t5 @t2) (= (tptp.startedIn @t7 @t2 @t5) (exists @t11 (and @t9 @t8 @t6 @t16))))) % 16.73/16.94 (assume @p3 @t26) % 16.73/16.94 (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)))) % 16.73/16.94 (assume @p5 @t41) % 16.73/16.94 (assume @p6 (forall @t40 (=> (and @t44 @t36 (not (exists @t32 @t43))) @t42))) % 16.73/16.94 (assume @p7 (forall @t40 (=> (and @t47 (not (exists @t32 @t46))) @t35))) % 16.73/16.94 (assume @p8 @t55) % 16.73/16.94 (assume @p9 @t57) % 16.73/16.94 (assume @p10 (forall @t56 (=> @t31 @t42))) % 16.73/16.94 (assume @p11 (forall @t56 (=> @t49 @t35))) % 16.73/16.94 (assume @p12 @t58) % 16.73/16.94 (assume @p13 @t77) % 16.73/16.94 (assume @p14 (forall @t76 (= @t4 (or (and @t67 @t71) (and @t62 @t71))))) % 16.73/16.94 (assume @p15 @t81) % 16.73/16.94 (assume @p16 @t89) % 16.73/16.94 (assume @p17 @t99) % 16.73/16.94 (assume @p18 @t104) % 16.73/16.94 (assume @p19 (not (= tptp.tapOff tptp.tapOn))) % 16.73/16.94 (assume @p20 (not (= tptp.tapOff tptp.overflow))) % 16.73/16.94 (assume @p21 (not (= tptp.overflow tptp.tapOn))) % 16.73/16.94 (assume @p22 @t108) % 16.73/16.94 (assume @p23 (forall @t107 (not (= tptp.spilling @t106)))) % 16.73/16.94 (assume @p24 (not @t109)) % 16.73/16.94 (assume @p25 (forall @t112 (= (= @t106 (tptp.waterLevel @t110)) @t111))) % 16.73/16.94 (assume @p26 (= (tptp.plus tptp.n0 tptp.n0) tptp.n0)) % 16.73/16.94 (assume @p27 (= @t113 tptp.n1)) % 16.73/16.94 (assume @p28 (= (tptp.plus tptp.n0 tptp.n2) tptp.n2)) % 16.73/16.94 (assume @p29 (= (tptp.plus tptp.n0 tptp.n3) tptp.n3)) % 16.73/16.94 (assume @p30 (= @t114 tptp.n2)) % 16.73/16.94 (assume @p31 (= @t115 tptp.n3)) % 16.73/16.94 (assume @p32 (= @t116 tptp.n4)) % 16.73/16.94 (assume @p33 (= (tptp.plus tptp.n2 tptp.n2) tptp.n4)) % 16.73/16.94 (assume @p34 (= @t117 tptp.n5)) % 16.73/16.94 (assume @p35 (= @t118 tptp.n6)) % 16.73/16.94 (assume @p36 (forall @t112 (= (tptp.plus @t105 @t110) (tptp.plus @t110 @t105)))) % 16.73/16.94 (assume @p37 @t120) % 16.73/16.94 (assume @p38 @t123) % 16.73/16.94 (assume @p39 @t124) % 16.73/16.94 (assume @p40 (forall @t107 (= (tptp.less @t105 tptp.n2) (tptp.less_or_equal @t105 tptp.n1)))) % 16.73/16.94 (assume @p41 @t128) % 16.73/16.94 (assume @p42 @t132) % 16.73/16.94 (assume @p43 @t136) % 16.73/16.94 (assume @p44 @t140) % 16.73/16.94 (assume @p45 @t144) % 16.73/16.94 (assume @p46 (forall @t107 (= (tptp.less @t105 tptp.n8) (tptp.less_or_equal @t105 tptp.n7)))) % 16.73/16.94 (assume @p47 (forall @t107 (= (tptp.less @t105 tptp.n9) (tptp.less_or_equal @t105 tptp.n8)))) % 16.73/16.94 (assume @p48 @t149) % 16.73/16.94 (assume @p49 @t150) % 16.73/16.94 (assume @p50 (not @t151)) % 16.73/16.94 (assume @p51 (not (tptp.holdsAt tptp.spilling tptp.n0))) % 16.73/16.94 (assume @p52 (forall @t65 (not (tptp.releasedAt @t60 tptp.n0)))) % 16.73/16.94 (assume @p53 (not (tptp.releasedAt tptp.filling tptp.n0))) % 16.73/16.94 (assume @p54 (not (tptp.releasedAt tptp.spilling tptp.n0))) % 16.73/16.94 (assume @p55 @t153) % 16.73/16.94 (assume @p56 true) % 16.73/16.94 (step @p57 :rule aci_norm :args ((= (or (or @t155 @t154) @t100) @t156))) % 16.73/16.94 (step @p58 :rule refl :args (@t100)) % 16.73/16.94 (step @p59 :rule bool-and-de-morgan :args (@t96 @t101 true)) % 16.73/16.94 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or (not @t102) @t100))) % 16.73/16.94 (step @p61 :rule trans :premises (@p60 @p57)) % 16.73/16.94 (step @p62 :rule bool-impl-elim :args (@t102 @t100)) % 16.73/16.94 (step @p63 :rule trans :premises (@p62 @p61)) % 16.73/16.94 (step @p64 :rule cong :premises (@p63) :args (@t104)) % 16.73/16.94 (step @p65 :rule eq_resolve :premises (@p18 @p64)) % 16.73/16.94 (step @p66 :rule eq-symm :args (@t157 tptp.n1)) % 16.73/16.94 (step @p67 :rule refl :args (@t160)) % 16.73/16.94 (step @p68 :rule refl :args (@t163)) % 16.73/16.94 (step @p69 :rule nary_cong :premises (@p68 @p67 @p66) :args (@t164)) % 16.73/16.94 (step @p70 :rule refl :args (@t165)) % 16.73/16.94 (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t165 @t164))) % 16.73/16.94 (assume-push @p930 @t165) % 16.73/16.94 (step @p73 :rule instantiate :premises (@p65) :args ((@list tptp.n1 @t157 tptp.n1))) % 16.73/16.94 (step-pop @p931 :rule scope :premises (@p73)) % 16.73/16.94 (step @p74 :rule process_scope :premises (@p931) :args (@t164)) % 16.73/16.94 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 16.73/16.94 (step @p77 :rule implies_elim :premises (@p76)) % 16.73/16.94 (step @p78 :rule chain_m_resolution :premises (@p77 @p65) :args (@t167 @t168 (@list @t165))) % 16.73/16.94 (step @p79 :rule refl :args (@t62)) % 16.73/16.94 (step @p80 :rule refl :args (@t82)) % 16.73/16.94 (step @p81 :rule refl :args (@t1)) % 16.73/16.94 (step @p82 :rule symm :premises (@p30)) % 16.73/16.94 (step @p83 :rule refl :args (tptp.n1)) % 16.73/16.94 (step @p84 :rule cong 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16.73/16.95 (step @p751 :rule chain_m_resolution :premises (@p750 @p748) :args (@t379 @t223 (@list @t376))) % 16.73/16.95 (step @p752 :rule cnf_equiv_pos1 :args (@t381)) % 16.73/16.95 (step @p753 :rule reordering :premises (@p752) :args ((or @t375 @t382 (not @t381)))) % 16.73/16.95 (step @p754 :rule chain_m_resolution :premises (@p753 @p751 @p715) :args (@t382 @t221 (@list @t375 @t381))) % 16.73/16.95 (step @p755 :rule cnf_equiv_pos2 :args (@t385)) % 16.73/16.95 (step @p756 :rule reordering :premises (@p755) :args ((or @t380 @t386 (not @t385)))) % 16.73/16.95 (step @p757 :rule chain_m_resolution :premises (@p756 @p754 @p701) :args (@t386 @t221 (@list @t380 @t385))) % 16.73/16.95 (step @p758 :rule cnf_or_neg :args (@t384 0)) % 16.73/16.95 (step @p759 :rule reordering :premises (@p758) :args ((or @t387 @t384))) % 16.73/16.95 (step @p760 :rule chain_m_resolution :premises (@p759 @p757) :args (@t387 @t223 (@list @t384))) % 16.73/16.95 (step @p761 :rule cnf_equiv_pos1 :args (@t389)) % 16.73/16.95 (step @p762 :rule reordering :premises (@p761) :args ((or @t383 @t390 (not @t389)))) % 16.73/16.95 (step @p763 :rule chain_m_resolution :premises (@p762 @p760 @p700) :args (@t390 @t221 (@list @t383 @t389))) % 16.73/16.95 (step @p764 :rule cnf_equiv_pos2 :args (@t393)) % 16.73/16.95 (step @p765 :rule reordering :premises (@p764) :args ((or @t388 @t394 (not @t393)))) % 16.73/16.95 (step @p766 :rule chain_m_resolution :premises (@p765 @p763 @p686) :args (@t394 @t221 (@list @t388 @t393))) % 16.73/16.95 (step @p767 :rule cnf_or_neg :args (@t392 0)) % 16.73/16.95 (step @p768 :rule reordering :premises (@p767) :args ((or @t395 @t392))) % 16.73/16.95 (step @p769 :rule chain_m_resolution :premises (@p768 @p766) :args (@t395 @t223 (@list @t392))) % 16.73/16.95 (step @p770 :rule cnf_equiv_pos1 :args (@t397)) % 16.73/16.95 (step @p771 :rule reordering :premises (@p770) :args ((or @t391 @t398 (not @t397)))) % 16.73/16.95 (step @p772 :rule chain_m_resolution :premises (@p771 @p769 @p685) :args (@t398 @t221 (@list @t391 @t397))) % 16.73/16.95 (step @p773 :rule cnf_equiv_pos2 :args (@t401)) % 16.73/16.95 (step @p774 :rule reordering :premises (@p773) :args ((or @t396 @t402 (not @t401)))) % 16.73/16.95 (step @p775 :rule chain_m_resolution :premises (@p774 @p772 @p670) :args (@t402 @t221 (@list @t396 @t401))) % 16.73/16.95 (step @p776 :rule cnf_or_neg :args (@t400 0)) % 16.73/16.95 (step @p777 :rule reordering :premises (@p776) :args ((or @t403 @t400))) % 16.73/16.95 (step @p778 :rule chain_m_resolution :premises (@p777 @p775) :args (@t403 @t223 (@list @t400))) % 16.73/16.95 (step @p779 :rule refl :args (@t405)) % 16.73/16.95 (step @p780 :rule refl :args (@t406)) % 16.73/16.95 (step @p781 :rule bool-double-not-elim :args (@t399)) % 16.73/16.95 (step @p782 :rule nary_cong :premises (@p781 @p780 @p779) :args ((or (not @t403) @t406 @t405))) % 16.73/16.95 (assume-push @p982 @t403) % 16.73/16.95 (assume-push @p983 @t166) % 16.73/16.95 (assume-push @p984 @t403) % 16.73/16.95 (assume-push @p985 @t166) % 16.73/16.95 (step @p787 :rule false_intro :premises (@p778)) % 16.73/16.95 (step @p788 :rule refl :args (tptp.n7)) % 16.73/16.95 (step @p789 :rule cong :premises (@p788 @p983) :args (@t404)) % 16.73/16.95 (step @p790 :rule trans :premises (@p789 @p787)) % 16.73/16.95 (step @p791 :rule false_elim :premises (@p790)) % 16.73/16.95 (step-pop @p986 :rule scope :premises (@p791)) % 16.73/16.95 (step-pop @p987 :rule scope :premises (@p986)) % 16.73/16.95 (step @p792 :rule process_scope :premises (@p987) :args (@t405)) % 16.73/16.95 (step @p795 :rule and_intro :premises (@p778 @p983)) % 16.73/16.95 (step @p796 :rule modus_ponens :premises (@p795 @p792)) % 16.73/16.95 (step-pop @p988 :rule scope :premises (@p796)) % 16.73/16.95 (step-pop @p989 :rule scope :premises (@p988)) % 16.73/16.95 (step @p797 :rule process_scope :premises (@p989) :args (@t405)) % 16.73/16.95 (step @p800 :rule implies_elim :premises (@p797)) % 16.73/16.95 (step @p801 :rule cnf_and_neg :args (@t407)) % 16.73/16.95 (step @p802 :rule resolution :premises (@p801 @p800) :args (true @t407)) % 16.73/16.95 (step @p803 :rule eq_resolve :premises (@p802 @p782)) % 16.73/16.95 (step @p804 :rule reordering :premises (@p803) :args ((or @t399 @t405 @t406))) % 16.73/16.95 (step @p805 :rule chain_m_resolution :premises (@p804 @p778 @p669) :args (@t405 @t221 (@list @t399 @t166))) % 16.73/16.95 (step @p806 :rule eq-symm :args (tptp.n7 tptp.n1)) % 16.73/16.95 (step @p807 :rule refl :args (@t404)) % 16.73/16.95 (step @p808 :rule nary_cong :premises (@p807 @p806) :args (@t408)) % 16.73/16.95 (step @p809 :rule refl :args (@t409)) % 16.73/16.95 (step @p810 :rule cong :premises (@p809 @p808) :args (@t410)) % 16.73/16.95 (step @p811 :rule cong :premises (@p424 @p810) :args ((=> @t120 @t410))) % 16.73/16.95 (assume-push @p990 @t120) % 16.73/16.95 (step @p813 :rule instantiate :premises (@p37) :args ((@list tptp.n7 tptp.n1))) % 16.73/16.95 (step-pop @p991 :rule scope :premises (@p813)) % 16.73/16.95 (step @p814 :rule process_scope :premises (@p991) :args (@t410)) % 16.73/16.95 (step @p816 :rule eq_resolve :premises (@p814 @p811)) % 16.73/16.95 (step @p817 :rule implies_elim :premises (@p816)) % 16.73/16.95 (step @p818 :rule chain_m_resolution :premises (@p817 @p37) :args (@t413 @t168 @t293)) % 16.73/16.95 (step @p819 :rule refl :args (@t414)) % 16.73/16.95 (step @p820 :rule bool-double-not-elim :args (@t396)) % 16.73/16.95 (step @p821 :rule nary_cong :premises (@p820 @p780 @p819) :args ((or (not @t398) @t406 @t414))) % 16.73/16.95 (assume-push @p992 @t398) % 16.73/16.95 (assume-push @p993 @t166) % 16.73/16.95 (assume-push @p994 @t398) % 16.73/16.95 (assume-push @p995 @t166) % 16.73/16.95 (step @p826 :rule false_intro :premises (@p772)) % 16.73/16.95 (step @p788 :rule refl :args (tptp.n7)) % 16.73/16.95 (step @p827 :rule cong :premises (@p788 @p993) :args (@t409)) % 16.73/16.95 (step @p828 :rule trans :premises (@p827 @p826)) % 16.73/16.95 (step @p829 :rule false_elim :premises (@p828)) % 16.73/16.95 (step-pop @p996 :rule scope :premises (@p829)) % 16.73/16.95 (step-pop @p997 :rule scope :premises (@p996)) % 16.73/16.95 (step @p830 :rule process_scope :premises (@p997) :args (@t414)) % 16.73/16.95 (step @p833 :rule and_intro :premises (@p772 @p993)) % 16.73/16.95 (step @p834 :rule modus_ponens :premises (@p833 @p830)) % 16.73/16.95 (step-pop @p998 :rule scope :premises (@p834)) % 16.73/16.95 (step-pop @p999 :rule scope :premises (@p998)) % 16.73/16.95 (step @p835 :rule process_scope :premises (@p999) :args (@t414)) % 16.73/16.95 (step @p838 :rule implies_elim :premises (@p835)) % 16.73/16.95 (step @p839 :rule cnf_and_neg :args (@t415)) % 16.73/16.95 (step @p840 :rule resolution :premises (@p839 @p838) :args (true @t415)) % 16.73/16.95 (step @p841 :rule eq_resolve :premises (@p840 @p821)) % 16.73/16.95 (step @p842 :rule reordering :premises (@p841) :args ((or @t396 @t414 @t406))) % 16.73/16.95 (step @p843 :rule chain_m_resolution :premises (@p842 @p772 @p669) :args (@t414 @t221 (@list @t396 @t166))) % 16.73/16.95 (step @p844 :rule cnf_equiv_pos2 :args (@t413)) % 16.73/16.95 (step @p845 :rule reordering :premises (@p844) :args ((or @t409 @t416 (not @t413)))) % 16.73/16.95 (step @p846 :rule chain_m_resolution :premises (@p845 @p843 @p818) :args (@t416 @t221 (@list @t409 @t413))) % 16.73/16.95 (step @p847 :rule cnf_or_neg :args (@t412 1)) % 16.73/16.95 (step @p848 :rule chain_m_resolution :premises (@p847 @p846) :args (@t417 @t223 (@list @t412))) % 16.73/16.95 (step @p849 :rule instantiate :premises (@p581) :args ((@list tptp.n1 tptp.n7))) % 16.73/16.95 (step @p850 :rule instantiate :premises (@p721) :args ((@list tptp.n1))) % 16.73/16.95 (step @p851 :rule eq-symm :args (@t418 @t419)) % 16.73/16.95 (step @p852 :rule cong :premises (@p851) :args ((forall @t107 (= @t418 @t419)))) % 16.73/16.95 (step @p853 :rule cong :premises (@p673 @p82) :args (@t125)) % 16.73/16.95 (step @p854 :rule cong :premises (@p673 @p88) :args (@t126)) % 16.73/16.95 (step @p855 :rule cong :premises (@p854 @p853) :args (@t127)) % 16.73/16.95 (step @p856 :rule cong :premises (@p855) :args (@t128)) % 16.73/16.95 (step @p857 :rule trans :premises (@p856 @p852)) % 16.73/16.95 (step @p858 :rule eq_resolve :premises (@p41 @p857)) % 16.73/16.95 (step @p859 :rule instantiate :premises (@p858) :args ((@list @t157))) % 16.73/16.95 (step @p860 :rule bool-eq-false :args (@t420)) % 16.73/16.95 (step @p861 :rule absorb :args ((= (and @t421 false) false))) % 16.73/16.95 (step @p862 :rule eq-refl :args (@t157)) % 16.73/16.95 (step @p863 :rule cong :premises (@p862) :args (@t422)) % 16.73/16.95 (step @p864 :rule trans :premises (@p863 @p512)) % 16.73/16.95 (step @p865 :rule refl :args (@t421)) % 16.73/16.95 (step @p866 :rule nary_cong :premises (@p865 @p864) :args (@t423)) % 16.73/16.95 (step @p867 :rule trans :premises (@p866 @p861)) % 16.73/16.95 (step @p868 :rule refl :args (@t420)) % 16.73/16.95 (step @p869 :rule cong :premises (@p868 @p867) :args (@t424)) % 16.73/16.95 (step @p870 :rule trans :premises (@p869 @p860)) % 16.73/16.95 (step @p871 :rule cong :premises (@p734 @p870) :args ((=> @t370 @t424))) % 16.73/16.95 (assume-push @p1000 @t370) % 16.73/16.95 (step @p873 :rule instantiate :premises (@p581) :args ((@list @t157 @t157))) % 16.73/16.95 (step-pop @p1001 :rule scope :premises (@p873)) % 16.73/16.95 (step @p874 :rule process_scope :premises (@p1001) :args (@t424)) % 16.73/16.95 (step @p876 :rule eq_resolve :premises (@p874 @p871)) % 16.73/16.95 (step @p877 :rule implies_elim :premises (@p876)) % 16.73/16.95 (step @p878 :rule chain_m_resolution :premises (@p877 @p581) :args (@t421 @t168 @t371)) % 16.73/16.95 (step @p879 :rule cnf_equiv_pos1 :args (@t426)) % 16.73/16.95 (step @p880 :rule reordering :premises (@p879) :args ((or @t420 @t427 (not @t426)))) % 16.73/16.95 (step @p881 :rule chain_m_resolution :premises (@p880 @p878 @p859) :args (@t427 @t221 (@list @t420 @t426))) % 16.73/16.95 (step @p882 :rule refl :args (@t429)) % 16.73/16.95 (step @p883 :rule bool-double-not-elim :args (@t425)) % 16.73/16.95 (step @p884 :rule nary_cong :premises (@p780 @p883 @p882) :args ((or @t406 (not @t427) @t429))) % 16.73/16.95 (assume-push @p1002 @t166) % 16.73/16.95 (assume-push @p1003 @t427) % 16.73/16.95 (assume-push @p1004 @t427) % 16.73/16.95 (assume-push @p1005 @t166) % 16.73/16.95 (step @p889 :rule false_intro :premises (@p881)) % 16.73/16.95 (step @p890 :rule symm :premises (@p1002)) % 16.73/16.95 (step @p891 :rule cong :premises (@p83 @p890) :args (@t355)) % 16.73/16.95 (step @p892 :rule refl :args (@t157)) % 16.73/16.95 (step @p893 :rule cong :premises (@p892 @p891) :args ((tptp.less_or_equal @t157 @t355))) % 16.73/16.95 (step @p894 :rule symm :premises (@p891)) % 16.73/16.95 (step @p895 :rule cong :premises (@p890 @p890) :args (@t362)) % 16.73/16.95 (step @p896 :rule trans :premises (@p895 @p894)) % 16.73/16.95 (step @p897 :rule cong :premises (@p892 @p896) :args ((tptp.less_or_equal @t157 @t362))) % 16.73/16.95 (step @p898 :rule refl :args (@t362)) % 16.73/16.95 (step @p899 :rule cong :premises (@p1002 @p898) :args (@t428)) % 16.73/16.95 (step @p900 :rule trans :premises (@p899 @p897 @p893 @p889)) % 16.73/16.95 (step @p901 :rule false_elim :premises (@p900)) % 16.73/16.95 (step-pop @p1006 :rule scope :premises (@p901)) % 16.73/16.95 (step-pop @p1007 :rule scope :premises (@p1006)) % 16.73/16.95 (step @p902 :rule process_scope :premises (@p1007) :args (@t429)) % 16.73/16.95 (step @p905 :rule and_intro :premises (@p881 @p1002)) % 16.73/16.95 (step @p906 :rule modus_ponens :premises (@p905 @p902)) % 16.73/16.95 (step-pop @p1008 :rule scope :premises (@p906)) % 16.73/16.95 (step-pop @p1009 :rule scope :premises (@p1008)) % 16.73/16.95 (step @p907 :rule process_scope :premises (@p1009) :args (@t429)) % 16.73/16.95 (step @p910 :rule implies_elim :premises (@p907)) % 16.73/16.95 (step @p911 :rule cnf_and_neg :args (@t430)) % 16.73/16.95 (step @p912 :rule resolution :premises (@p911 @p910) :args (true @t430)) % 16.73/16.95 (step @p913 :rule eq_resolve :premises (@p912 @p884)) % 16.73/16.95 (step @p914 :rule reordering :premises (@p913) :args ((or @t429 @t406 @t425))) % 16.73/16.95 (step @p915 :rule chain_m_resolution :premises (@p914 @p669 @p881) :args (@t429 (@list false true) (@list @t166 @t425))) % 16.73/16.95 (step @p916 :rule cnf_equiv_pos1 :args (@t432)) % 16.73/16.95 (step @p917 :rule reordering :premises (@p916) :args ((or @t428 @t433 (not @t432)))) % 16.73/16.95 (step @p918 :rule chain_m_resolution :premises (@p917 @p915 @p850) :args (@t433 @t221 (@list @t428 @t432))) % 16.73/16.95 (step @p919 :rule cnf_equiv_pos2 :args (@t435)) % 16.73/16.95 (step @p920 :rule reordering :premises (@p919) :args ((or @t431 @t436 (not @t435)))) % 16.73/16.95 (step @p921 :rule chain_m_resolution :premises (@p920 @p918 @p849) :args (@t436 @t221 (@list @t431 @t435))) % 16.73/16.95 (step @p922 :rule bool-double-not-elim :args (@t411)) % 16.73/16.95 (step @p923 :rule bool-double-not-elim :args (@t404)) % 16.73/16.95 (step @p924 :rule refl :args (@t434)) % 16.73/16.95 (step @p925 :rule nary_cong :premises (@p924 @p923 @p922) :args ((or @t434 (not @t405) (not @t417)))) % 16.73/16.95 (step @p926 :rule cnf_and_neg :args (@t434)) % 16.73/16.95 (step @p927 :rule eq_resolve :premises (@p926 @p925)) % 16.73/16.95 (step @p928 :rule reordering :premises (@p927) :args ((or @t411 @t404 @t434))) % 16.73/16.95 (step @p929 false :rule chain_m_resolution :premises (@p928 @p921 @p848 @p805) :args (false (@list true true true) (@list @t434 @t411 @t404))) % 16.73/16.95 ) % 16.73/16.95 % SZS output end Proof % 16.73/16.95 % cvc5 exiting %------------------------------------------------------------------------------