%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR008+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 : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:11:11 AM UTC 2026 % Result : Theorem 26.72s 26.99s % Output : Proof 26.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR008+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 : n020.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 20:37:10 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 26.72/26.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 26.72/26.99 --- Run --no-e-matching --full-saturate-quant at 6... % 26.72/26.99 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 26.72/26.99 % SZS status Theorem % 26.72/26.99 % SZS output start Proof % 26.72/26.99 ( % 26.72/26.99 (declare-sort $$unsorted 0) % 26.72/26.99 (declare-const tptp.n7 $$unsorted) % 26.72/26.99 (declare-const tptp.n6 $$unsorted) % 26.72/26.99 (declare-const tptp.n5 $$unsorted) % 26.72/26.99 (declare-const tptp.n3 $$unsorted) % 26.72/26.99 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 26.72/26.99 (declare-const tptp.tapOn $$unsorted) % 26.72/26.99 (declare-const tptp.filling $$unsorted) % 26.72/26.99 (declare-const tptp.spilling $$unsorted) % 26.72/26.99 (declare-const tptp.overflow $$unsorted) % 26.72/26.99 (declare-const tptp.n2 $$unsorted) % 26.72/26.99 (declare-const tptp.waterLevel (-> $$unsorted $$unsorted)) % 26.72/26.99 (declare-const tptp.terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 26.72/26.99 (declare-const tptp.initiates (-> $$unsorted $$unsorted $$unsorted Bool)) % 26.72/26.99 (declare-const tptp.antitrajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 26.72/26.99 (declare-const tptp.n9 $$unsorted) % 26.72/26.99 (declare-const tptp.n4 $$unsorted) % 26.72/26.99 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 26.72/26.99 (declare-const tptp.startedIn (-> $$unsorted $$unsorted $$unsorted Bool)) % 26.72/26.99 (declare-const tptp.happens (-> $$unsorted $$unsorted Bool)) % 26.72/26.99 (declare-const tptp.releases (-> $$unsorted $$unsorted $$unsorted Bool)) % 26.72/26.99 (declare-const tptp.holdsAt (-> $$unsorted $$unsorted Bool)) % 26.72/26.99 (declare-const tptp.stoppedIn (-> $$unsorted $$unsorted $$unsorted Bool)) % 26.72/26.99 (declare-const tptp.trajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 26.72/26.99 (declare-const tptp.tapOff $$unsorted) % 26.72/26.99 (declare-const tptp.n0 $$unsorted) % 26.72/26.99 (declare-const tptp.n8 $$unsorted) % 26.72/26.99 (declare-const tptp.n1 $$unsorted) % 26.72/26.99 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 26.72/26.99 (declare-const tptp.releasedAt (-> $$unsorted $$unsorted Bool)) % 26.72/26.99 (define @t1 () (@var "Time" $$unsorted)) % 26.72/26.99 (define @t2 () (@var "Fluent" $$unsorted)) % 26.72/26.99 (define @t3 () (@var "Event" $$unsorted)) % 26.72/26.99 (define @t4 () (tptp.terminates @t3 @t2 @t1)) % 26.72/26.99 (define @t5 () (@var "Time2" $$unsorted)) % 26.72/26.99 (define @t6 () (tptp.less @t1 @t5)) % 26.72/26.99 (define @t7 () (@var "Time1" $$unsorted)) % 26.72/26.99 (define @t8 () (tptp.less @t7 @t1)) % 26.72/26.99 (define @t9 () (tptp.happens @t3 @t1)) % 26.72/26.99 (define @t10 () (and @t9 @t8 @t6 @t4)) % 26.72/26.99 (define @t11 () (@list @t3 @t1)) % 26.72/26.99 (define @t12 () (exists @t11 @t10)) % 26.72/26.99 (define @t13 () (tptp.stoppedIn @t7 @t2 @t5)) % 26.72/26.99 (define @t14 () (= @t13 @t12)) % 26.72/26.99 (define @t15 () (forall (@list @t7 @t2 @t5) @t14)) % 26.72/26.99 (define @t16 () (tptp.initiates @t3 @t2 @t1)) % 26.72/26.99 (define @t17 () (@var "Offset" $$unsorted)) % 26.72/26.99 (define @t18 () (tptp.plus @t1 @t17)) % 26.72/26.99 (define @t19 () (@var "Fluent2" $$unsorted)) % 26.72/26.99 (define @t20 () (tptp.holdsAt @t19 @t18)) % 26.72/26.99 (define @t21 () (tptp.stoppedIn @t1 @t2 @t18)) % 26.72/26.99 (define @t22 () (not @t21)) % 26.72/26.99 (define @t23 () (tptp.trajectory @t2 @t1 @t19 @t17)) % 26.72/26.99 (define @t24 () (tptp.less tptp.n0 @t17)) % 26.72/26.99 (define @t25 () (and @t9 @t16 @t24 @t23 @t22)) % 26.72/26.99 (define @t26 () (forall (@list @t3 @t1 @t2 @t19 @t17) (=> @t25 @t20))) % 26.72/26.99 (define @t27 () (tptp.plus @t7 @t5)) % 26.72/26.99 (define @t28 () (@var "Fluent1" $$unsorted)) % 26.72/26.99 (define @t29 () (tptp.plus @t1 tptp.n1)) % 26.72/26.99 (define @t30 () (tptp.holdsAt @t2 @t29)) % 26.72/26.99 (define @t31 () (and @t9 @t4)) % 26.72/26.99 (define @t32 () (@list @t3)) % 26.72/26.99 (define @t33 () (tptp.releasedAt @t2 @t29)) % 26.72/26.99 (define @t34 () (not @t33)) % 26.72/26.99 (define @t35 () (tptp.holdsAt @t2 @t1)) % 26.72/26.99 (define @t36 () (@list @t2 @t1)) % 26.72/26.99 (define @t37 () (not @t30)) % 26.72/26.99 (define @t38 () (and @t9 @t16)) % 26.72/26.99 (define @t39 () (and @t9 (or @t16 @t4))) % 26.72/26.99 (define @t40 () (tptp.releasedAt @t2 @t1)) % 26.72/26.99 (define @t41 () (tptp.releases @t3 @t2 @t1)) % 26.72/26.99 (define @t42 () (and @t9 @t41)) % 26.72/26.99 (define @t43 () (@list @t3 @t1 @t2)) % 26.72/26.99 (define @t44 () (@var "Height" $$unsorted)) % 26.72/26.99 (define @t45 () (tptp.waterLevel @t44)) % 26.72/26.99 (define @t46 () (= @t2 @t45)) % 26.72/26.99 (define @t47 () (= @t3 tptp.overflow)) % 26.72/26.99 (define @t48 () (tptp.holdsAt @t45 @t1)) % 26.72/26.99 (define @t49 () (and @t48 @t47 @t46)) % 26.72/26.99 (define @t50 () (@list @t44)) % 26.72/26.99 (define @t51 () (exists @t50 @t49)) % 26.72/26.99 (define @t52 () (= @t3 tptp.tapOff)) % 26.72/26.99 (define @t53 () (and @t48 @t52 @t46)) % 26.72/26.99 (define @t54 () (exists @t50 @t53)) % 26.72/26.99 (define @t55 () (and @t47 (= @t2 tptp.spilling))) % 26.72/26.99 (define @t56 () (= @t2 tptp.filling)) % 26.72/26.99 (define @t57 () (= @t3 tptp.tapOn)) % 26.72/26.99 (define @t58 () (and @t57 @t56)) % 26.72/26.99 (define @t59 () (or @t58 @t55 @t54 @t51)) % 26.72/26.99 (define @t60 () (= @t16 @t59)) % 26.72/26.99 (define @t61 () (@list @t3 @t2 @t1)) % 26.72/26.99 (define @t62 () (forall @t61 @t60)) % 26.72/26.99 (define @t63 () (tptp.holdsAt tptp.filling @t1)) % 26.72/26.99 (define @t64 () (tptp.waterLevel tptp.n3)) % 26.72/26.99 (define @t65 () (tptp.holdsAt @t64 @t1)) % 26.72/26.99 (define @t66 () (and @t65 @t63 @t47)) % 26.72/26.99 (define @t67 () (and @t57 (= @t1 tptp.n0))) % 26.72/26.99 (define @t68 () (or @t67 @t66)) % 26.72/26.99 (define @t69 () (= @t9 @t68)) % 26.72/26.99 (define @t70 () (forall @t11 @t69)) % 26.72/26.99 (define @t71 () (@var "Height2" $$unsorted)) % 26.72/26.99 (define @t72 () (tptp.waterLevel @t71)) % 26.72/26.99 (define @t73 () (tptp.trajectory tptp.filling @t1 @t72 @t17)) % 26.72/26.99 (define @t74 () (@var "Height1" $$unsorted)) % 26.72/26.99 (define @t75 () (tptp.plus @t74 @t17)) % 26.72/26.99 (define @t76 () (= @t71 @t75)) % 26.72/26.99 (define @t77 () (tptp.holdsAt (tptp.waterLevel @t74) @t1)) % 26.72/26.99 (define @t78 () (and @t77 @t76)) % 26.72/26.99 (define @t79 () (@list @t74 @t1 @t71 @t17)) % 26.72/26.99 (define @t80 () (forall @t79 (=> @t78 @t73))) % 26.72/26.99 (define @t81 () (= @t74 @t71)) % 26.72/26.99 (define @t82 () (tptp.holdsAt @t72 @t1)) % 26.72/26.99 (define @t83 () (and @t77 @t82)) % 26.72/26.99 (define @t84 () (@list @t1 @t74 @t71)) % 26.72/26.99 (define @t85 () (forall @t84 (=> @t83 @t81))) % 26.72/26.99 (define @t86 () (@var "X" $$unsorted)) % 26.72/26.99 (define @t87 () (tptp.waterLevel @t86)) % 26.72/26.99 (define @t88 () (@list @t86)) % 26.72/26.99 (define @t89 () (= tptp.filling tptp.spilling)) % 26.72/26.99 (define @t90 () (@var "Y" $$unsorted)) % 26.72/26.99 (define @t91 () (= @t86 @t90)) % 26.72/26.99 (define @t92 () (@list @t86 @t90)) % 26.72/26.99 (define @t93 () (tptp.plus tptp.n0 tptp.n1)) % 26.72/26.99 (define @t94 () (tptp.plus tptp.n0 tptp.n2)) % 26.72/26.99 (define @t95 () (tptp.plus tptp.n0 tptp.n3)) % 26.72/26.99 (define @t96 () (tptp.plus tptp.n1 tptp.n1)) % 26.72/26.99 (define @t97 () (tptp.plus tptp.n1 tptp.n2)) % 26.72/26.99 (define @t98 () (tptp.plus tptp.n1 tptp.n3)) % 26.72/26.99 (define @t99 () (tptp.plus tptp.n2 tptp.n3)) % 26.72/26.99 (define @t100 () (tptp.less @t86 @t90)) % 26.72/26.99 (define @t101 () (forall @t92 (= (tptp.less_or_equal @t86 @t90) (or @t100 @t91)))) % 26.72/26.99 (define @t102 () (tptp.less @t86 tptp.n0)) % 26.72/26.99 (define @t103 () (exists @t88 @t102)) % 26.72/26.99 (define @t104 () (not @t103)) % 26.72/26.99 (define @t105 () (forall @t88 (= (tptp.less @t86 tptp.n1) (tptp.less_or_equal @t86 tptp.n0)))) % 26.72/26.99 (define @t106 () (tptp.less_or_equal @t86 tptp.n1)) % 26.72/26.99 (define @t107 () (tptp.less @t86 tptp.n2)) % 26.72/26.99 (define @t108 () (= @t107 @t106)) % 26.72/26.99 (define @t109 () (forall @t88 @t108)) % 26.72/26.99 (define @t110 () (tptp.less_or_equal @t86 tptp.n3)) % 26.72/26.99 (define @t111 () (tptp.less @t86 tptp.n4)) % 26.72/26.99 (define @t112 () (= @t111 @t110)) % 26.72/26.99 (define @t113 () (forall @t88 @t112)) % 26.72/26.99 (define @t114 () (tptp.less_or_equal @t86 tptp.n4)) % 26.72/26.99 (define @t115 () (tptp.less @t86 tptp.n5)) % 26.72/26.99 (define @t116 () (= @t115 @t114)) % 26.72/26.99 (define @t117 () (forall @t88 @t116)) % 26.72/26.99 (define @t118 () (not (= @t90 @t86))) % 26.72/26.99 (define @t119 () (not (tptp.less @t90 @t86))) % 26.72/26.99 (define @t120 () (and @t119 @t118)) % 26.72/26.99 (define @t121 () (= @t100 @t120)) % 26.72/26.99 (define @t122 () (forall @t92 @t121)) % 26.72/26.99 (define @t123 () (tptp.holdsAt (tptp.waterLevel tptp.n0) tptp.n0)) % 26.72/26.99 (define @t124 () (tptp.holdsAt tptp.filling tptp.n0)) % 26.72/26.99 (define @t125 () (tptp.waterLevel tptp.n2)) % 26.72/26.99 (define @t126 () (tptp.holdsAt @t125 tptp.n2)) % 26.72/26.99 (define @t127 () (not @t126)) % 26.72/26.99 (define @t128 () (tptp.plus tptp.n1 @t96)) % 26.72/26.99 (define @t129 () (tptp.plus @t96 @t128)) % 26.72/26.99 (define @t130 () (tptp.less @t129 @t128)) % 26.72/26.99 (define @t131 () (or @t130 (= @t129 @t128))) % 26.72/26.99 (define @t132 () (tptp.less_or_equal @t129 @t128)) % 26.72/26.99 (define @t133 () (= @t132 @t131)) % 26.72/26.99 (define @t134 () (= @t128 @t129)) % 26.72/26.99 (define @t135 () (or @t130 @t134)) % 26.72/26.99 (define @t136 () (= @t132 @t135)) % 26.72/26.99 (define @t137 () (@list false)) % 26.72/26.99 (define @t138 () (@list @t101)) % 26.72/26.99 (define @t139 () (tptp.plus tptp.n1 @t128)) % 26.72/26.99 (define @t140 () (tptp.less @t86 @t139)) % 26.72/26.99 (define @t141 () (tptp.less_or_equal @t86 @t128)) % 26.72/26.99 (define @t142 () (@list @t129)) % 26.72/26.99 (define @t143 () (tptp.less @t129 @t139)) % 26.72/26.99 (define @t144 () (or @t143 (= @t129 @t139))) % 26.72/26.99 (define @t145 () (tptp.less_or_equal @t129 @t139)) % 26.72/26.99 (define @t146 () (= @t145 @t144)) % 26.72/26.99 (define @t147 () (or @t143 (= @t139 @t129))) % 26.72/26.99 (define @t148 () (= @t145 @t147)) % 26.72/26.99 (define @t149 () (tptp.less @t86 @t129)) % 26.72/26.99 (define @t150 () (tptp.less_or_equal @t86 @t139)) % 26.72/26.99 (define @t151 () (tptp.less @t129 @t129)) % 26.72/26.99 (define @t152 () (not @t151)) % 26.72/26.99 (define @t153 () (not (= @t129 @t129))) % 26.72/26.99 (define @t154 () (and @t152 @t153)) % 26.72/26.99 (define @t155 () (= @t151 @t154)) % 26.72/26.99 (define @t156 () (forall @t92 (= @t100 (and @t119 (not @t91))))) % 26.72/26.99 (define @t157 () (= @t145 @t151)) % 26.72/26.99 (define @t158 () (not @t145)) % 26.72/26.99 (define @t159 () (@list true false)) % 26.72/26.99 (define @t160 () (not @t147)) % 26.72/26.99 (define @t161 () (not @t143)) % 26.72/26.99 (define @t162 () (@list true)) % 26.72/26.99 (define @t163 () (= @t132 @t143)) % 26.72/26.99 (define @t164 () (not @t132)) % 26.72/26.99 (define @t165 () (not @t135)) % 26.72/26.99 (define @t166 () (not @t23)) % 26.72/26.99 (define @t167 () (not @t24)) % 26.72/26.99 (define @t168 () (not @t16)) % 26.72/26.99 (define @t169 () (not @t9)) % 26.72/26.99 (define @t170 () (not @t22)) % 26.72/26.99 (define @t171 () (or @t169 @t168 @t167 @t166 @t170)) % 26.72/26.99 (define @t172 () (tptp.plus tptp.n0 @t96)) % 26.72/26.99 (define @t173 () (tptp.waterLevel @t172)) % 26.72/26.99 (define @t174 () (tptp.holdsAt @t173 @t172)) % 26.72/26.99 (define @t175 () (tptp.trajectory tptp.filling @t1 (tptp.waterLevel @t75) @t17)) % 26.72/26.99 (define @t176 () (not @t77)) % 26.72/26.99 (define @t177 () (not (= @t75 @t75))) % 26.72/26.99 (define @t178 () (or @t176 @t177 @t175)) % 26.72/26.99 (define @t179 () (@list @t74 @t1 @t17)) % 26.72/26.99 (define @t180 () (not @t76)) % 26.72/26.99 (define @t181 () (or @t180 @t176 @t180 @t73)) % 26.72/26.99 (define @t182 () (@list @t71)) % 26.72/26.99 (define @t183 () (or @t176 @t180 @t73)) % 26.72/26.99 (define @t184 () (forall @t182 @t183)) % 26.72/26.99 (define @t185 () (forall @t179 @t184)) % 26.72/26.99 (define @t186 () (forall (@list @t74 @t1 @t17 @t71) @t183)) % 26.72/26.99 (define @t187 () (tptp.trajectory tptp.filling tptp.n0 @t173 @t96)) % 26.72/26.99 (define @t188 () (not @t123)) % 26.72/26.99 (define @t189 () (or @t188 @t187)) % 26.72/26.99 (define @t190 () (@list false false)) % 26.72/26.99 (define @t191 () (not @t4)) % 26.72/26.99 (define @t192 () (not @t6)) % 26.72/26.99 (define @t193 () (not @t8)) % 26.72/26.99 (define @t194 () (forall @t11 (not @t10))) % 26.72/26.99 (define @t195 () (not @t194)) % 26.72/26.99 (define @t196 () (not (tptp.terminates @t3 tptp.filling @t1))) % 26.72/26.99 (define @t197 () (not (tptp.less tptp.n0 @t1))) % 26.72/26.99 (define @t198 () (forall @t11 (or @t169 @t197 (not (tptp.less @t1 @t172)) @t196))) % 26.72/26.99 (define @t199 () (@quantifiers_skolemize @t198 1)) % 26.72/26.99 (define @t200 () (@quantifiers_skolemize @t198 0)) % 26.72/26.99 (define @t201 () (tptp.happens @t200 @t199)) % 26.72/26.99 (define @t202 () (tptp.less @t199 @t172)) % 26.72/26.99 (define @t203 () (not @t202)) % 26.72/26.99 (define @t204 () (tptp.less tptp.n0 @t199)) % 26.72/26.99 (define @t205 () (not @t204)) % 26.72/26.99 (define @t206 () (not @t201)) % 26.72/26.99 (define @t207 () (or @t206 @t205 @t203 (not (tptp.terminates @t200 tptp.filling @t199)))) % 26.72/26.99 (define @t208 () (tptp.holdsAt tptp.filling @t199)) % 26.72/26.99 (define @t209 () (tptp.waterLevel @t128)) % 26.72/26.99 (define @t210 () (tptp.holdsAt @t209 @t199)) % 26.72/26.99 (define @t211 () (and @t210 @t208 (= @t200 tptp.overflow))) % 26.72/26.99 (define @t212 () (= @t199 tptp.n0)) % 26.72/26.99 (define @t213 () (and (= @t200 tptp.tapOn) @t212)) % 26.72/26.99 (define @t214 () (or @t213 @t211)) % 26.72/26.99 (define @t215 () (= @t201 @t214)) % 26.72/26.99 (define @t216 () (forall @t11 (= @t9 (or @t67 (and (tptp.holdsAt @t209 @t1) @t63 @t47))))) % 26.72/26.99 (define @t217 () (and @t210 @t208 (= tptp.overflow @t200))) % 26.72/26.99 (define @t218 () (= tptp.n0 @t199)) % 26.72/26.99 (define @t219 () (and (= tptp.tapOn @t200) @t218)) % 26.72/26.99 (define @t220 () (or @t219 @t217)) % 26.72/26.99 (define @t221 () (= @t201 @t220)) % 26.72/26.99 (define @t222 () (@list @t216)) % 26.72/26.99 (define @t223 () (not @t218)) % 26.72/26.99 (define @t224 () (tptp.less @t199 tptp.n0)) % 26.72/26.99 (define @t225 () (and (not @t224) @t223)) % 26.72/26.99 (define @t226 () (= @t204 @t225)) % 26.72/26.99 (define @t227 () (forall @t88 (not @t102))) % 26.72/26.99 (define @t228 () (@list @t199)) % 26.72/26.99 (define @t229 () (or @t224 @t218)) % 26.72/26.99 (define @t230 () (or @t224 @t212)) % 26.72/26.99 (define @t231 () (tptp.less_or_equal @t199 tptp.n0)) % 26.72/26.99 (define @t232 () (= @t231 @t230)) % 26.72/26.99 (define @t233 () (= @t231 @t229)) % 26.72/26.99 (define @t234 () (tptp.less @t199 tptp.n1)) % 26.72/26.99 (define @t235 () (= @t234 @t231)) % 26.72/26.99 (define @t236 () (= @t96 @t172)) % 26.72/26.99 (define @t237 () (tptp.less @t199 @t96)) % 26.72/26.99 (define @t238 () (and @t236 @t202)) % 26.72/26.99 (define @t239 () (tptp.less @t86 @t96)) % 26.72/26.99 (define @t240 () (tptp.less_or_equal @t199 tptp.n1)) % 26.72/26.99 (define @t241 () (= @t240 @t237)) % 26.72/26.99 (define @t242 () (or @t234 (= @t199 tptp.n1))) % 26.72/26.99 (define @t243 () (= @t240 @t242)) % 26.72/26.99 (define @t244 () (= tptp.n1 @t199)) % 26.72/26.99 (define @t245 () (or @t234 @t244)) % 26.72/26.99 (define @t246 () (= @t240 @t245)) % 26.72/26.99 (define @t247 () (not @t82)) % 26.72/26.99 (define @t248 () (or @t176 @t247 @t81)) % 26.72/26.99 (define @t249 () (tptp.waterLevel tptp.n1)) % 26.72/26.99 (define @t250 () (tptp.holdsAt @t249 tptp.n1)) % 26.72/26.99 (define @t251 () (not @t250)) % 26.72/26.99 (define @t252 () (tptp.holdsAt @t209 tptp.n1)) % 26.72/26.99 (define @t253 () (not @t252)) % 26.72/26.99 (define @t254 () (or @t253 @t251 (= @t128 tptp.n1))) % 26.72/26.99 (define @t255 () (forall @t84 @t248)) % 26.72/26.99 (define @t256 () (= tptp.n1 @t128)) % 26.72/26.99 (define @t257 () (or @t253 @t251 @t256)) % 26.72/26.99 (define @t258 () (tptp.plus @t96 tptp.n1)) % 26.72/26.99 (define @t259 () (= @t128 @t258)) % 26.72/26.99 (define @t260 () (and @t259 @t256)) % 26.72/26.99 (define @t261 () (tptp.waterLevel @t93)) % 26.72/26.99 (define @t262 () (tptp.trajectory tptp.filling tptp.n0 @t261 tptp.n1)) % 26.72/26.99 (define @t263 () (or @t188 @t262)) % 26.72/26.99 (define @t264 () (forall @t11 (or @t169 @t197 (not (tptp.less @t1 @t93)) @t196))) % 26.72/26.99 (define @t265 () (@quantifiers_skolemize @t264 1)) % 26.72/26.99 (define @t266 () (tptp.less tptp.n0 @t265)) % 26.72/26.99 (define @t267 () (@quantifiers_skolemize @t264 0)) % 26.72/26.99 (define @t268 () (tptp.less @t265 @t93)) % 26.72/26.99 (define @t269 () (not @t268)) % 26.72/26.99 (define @t270 () (not @t266)) % 26.72/26.99 (define @t271 () (or (not (tptp.happens @t267 @t265)) @t270 @t269 (not (tptp.terminates @t267 tptp.filling @t265)))) % 26.72/26.99 (define @t272 () (= tptp.n0 @t265)) % 26.72/26.99 (define @t273 () (not @t272)) % 26.72/26.99 (define @t274 () (tptp.less @t265 tptp.n0)) % 26.72/26.99 (define @t275 () (and (not @t274) @t273)) % 26.72/26.99 (define @t276 () (= @t266 @t275)) % 26.72/26.99 (define @t277 () (@list @t265)) % 26.72/26.99 (define @t278 () (or @t274 @t272)) % 26.72/26.99 (define @t279 () (or @t274 (= @t265 tptp.n0))) % 26.72/26.99 (define @t280 () (tptp.less_or_equal @t265 tptp.n0)) % 26.72/26.99 (define @t281 () (= @t280 @t279)) % 26.72/26.99 (define @t282 () (= @t280 @t278)) % 26.72/26.99 (define @t283 () (tptp.less @t265 tptp.n1)) % 26.72/26.99 (define @t284 () (= @t283 @t280)) % 26.72/26.99 (define @t285 () (= tptp.n1 @t93)) % 26.72/26.99 (define @t286 () (and @t285 @t268)) % 26.72/26.99 (define @t287 () (not @t271)) % 26.72/26.99 (define @t288 () (not @t264)) % 26.72/26.99 (define @t289 () (tptp.stoppedIn tptp.n0 tptp.filling @t93)) % 26.72/26.99 (define @t290 () (= @t289 @t288)) % 26.72/26.99 (define @t291 () (not @t289)) % 26.72/26.99 (define @t292 () (tptp.less tptp.n0 tptp.n1)) % 26.72/26.99 (define @t293 () (tptp.less_or_equal tptp.n0 tptp.n0)) % 26.72/26.99 (define @t294 () (= @t292 @t293)) % 26.72/26.99 (define @t295 () (= @t293 @t292)) % 26.72/26.99 (define @t296 () (tptp.less tptp.n0 tptp.n0)) % 26.72/26.99 (define @t297 () (= tptp.n0 tptp.n0)) % 26.72/26.99 (define @t298 () (or @t296 @t297)) % 26.72/26.99 (define @t299 () (= @t293 @t298)) % 26.72/26.99 (define @t300 () (not @t46)) % 26.72/26.99 (define @t301 () (not @t48)) % 26.72/26.99 (define @t302 () (or @t301 @t300)) % 26.72/26.99 (define @t303 () (forall @t50 @t302)) % 26.72/26.99 (define @t304 () (not @t303)) % 26.72/26.99 (define @t305 () (not @t47)) % 26.72/26.99 (define @t306 () (not @t52)) % 26.72/26.99 (define @t307 () (or @t305 @t303)) % 26.72/26.99 (define @t308 () (or @t306 @t303)) % 26.72/26.99 (define @t309 () (or @t58 @t55 (not @t308) (not @t307))) % 26.72/26.99 (define @t310 () (= @t16 @t309)) % 26.72/26.99 (define @t311 () (or @t305 @t302)) % 26.72/26.99 (define @t312 () (or @t301 @t305 @t300)) % 26.72/26.99 (define @t313 () (forall @t50 (not @t49))) % 26.72/26.99 (define @t314 () (not @t313)) % 26.72/26.99 (define @t315 () (or @t306 @t302)) % 26.72/26.99 (define @t316 () (or @t301 @t306 @t300)) % 26.72/26.99 (define @t317 () (forall @t50 (not @t53))) % 26.72/26.99 (define @t318 () (not @t317)) % 26.72/26.99 (define @t319 () (tptp.initiates tptp.tapOn tptp.filling tptp.n0)) % 26.72/26.99 (define @t320 () (not (forall @t50 (or (not (tptp.holdsAt @t45 tptp.n0)) (not (= tptp.filling @t45)))))) % 26.72/26.99 (define @t321 () (= tptp.tapOn tptp.overflow)) % 26.72/26.99 (define @t322 () (and @t321 @t320)) % 26.72/26.99 (define @t323 () (and (= tptp.tapOn tptp.tapOff) @t320)) % 26.72/26.99 (define @t324 () (and @t321 @t89)) % 26.72/26.99 (define @t325 () (= tptp.tapOn tptp.tapOn)) % 26.72/26.99 (define @t326 () (and @t325 (= tptp.filling tptp.filling))) % 26.72/26.99 (define @t327 () (or @t326 @t324 @t323 @t322)) % 26.72/26.99 (define @t328 () (= @t319 @t327)) % 26.72/26.99 (define @t329 () (forall @t61 (= @t16 (or @t58 @t55 (and @t52 @t304) (and @t47 @t304))))) % 26.72/26.99 (define @t330 () (tptp.happens tptp.tapOn tptp.n0)) % 26.72/26.99 (define @t331 () (and (tptp.holdsAt @t209 tptp.n0) @t124 @t321)) % 26.72/26.99 (define @t332 () (and @t325 @t297)) % 26.72/26.99 (define @t333 () (or @t332 @t331)) % 26.72/26.99 (define @t334 () (= @t330 @t333)) % 26.72/26.99 (define @t335 () (tptp.holdsAt @t261 @t93)) % 26.72/26.99 (define @t336 () (not @t262)) % 26.72/26.99 (define @t337 () (not @t292)) % 26.72/26.99 (define @t338 () (not @t319)) % 26.72/26.99 (define @t339 () (not @t330)) % 26.72/26.99 (define @t340 () (or @t339 @t338 @t337 @t336 @t289 @t335)) % 26.72/26.99 (define @t341 () (and @t285 @t335)) % 26.72/26.99 (define @t342 () (not @t244)) % 26.72/26.99 (define @t343 () (not @t210)) % 26.72/26.99 (define @t344 () (and @t253 @t244 @t210)) % 26.72/26.99 (define @t345 () (not @t207)) % 26.72/26.99 (define @t346 () (not @t198)) % 26.72/26.99 (define @t347 () (tptp.stoppedIn tptp.n0 tptp.filling @t172)) % 26.72/26.99 (define @t348 () (= @t347 @t346)) % 26.72/26.99 (define @t349 () (not @t347)) % 26.72/26.99 (define @t350 () (not @t187)) % 26.72/26.99 (define @t351 () (tptp.less tptp.n0 @t96)) % 26.72/26.99 (define @t352 () (not @t351)) % 26.72/26.99 (define @t353 () (or @t339 @t338 @t352 @t350 @t347 @t174)) % 26.72/26.99 (define @t354 () (= tptp.n0 @t96)) % 26.72/26.99 (define @t355 () (not @t354)) % 26.72/26.99 (define @t356 () (tptp.less @t96 tptp.n0)) % 26.72/26.99 (define @t357 () (not @t356)) % 26.72/26.99 (define @t358 () (and @t357 @t355)) % 26.72/26.99 (define @t359 () (= @t351 @t358)) % 26.72/26.99 (define @t360 () (not @t358)) % 26.72/26.99 (define @t361 () (tptp.plus tptp.n0 @t128)) % 26.72/26.99 (define @t362 () (= @t128 @t361)) % 26.72/26.99 (define @t363 () (tptp.plus @t128 tptp.n0)) % 26.72/26.99 (define @t364 () (= @t361 @t363)) % 26.72/26.99 (define @t365 () (= @t129 (tptp.plus @t128 @t96))) % 26.72/26.99 (define @t366 () (and @t362 @t354 @t364 @t365)) % 26.72/26.99 (assume @p1 @t15) % 26.72/26.99 (assume @p2 (forall (@list @t7 @t5 @t2) (= (tptp.startedIn @t7 @t2 @t5) (exists @t11 (and @t9 @t8 @t6 @t16))))) % 26.72/26.99 (assume @p3 @t26) % 26.72/26.99 (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)))) % 26.72/26.99 (assume @p5 (forall @t36 (=> (and @t35 @t34 (not (exists @t32 @t31))) @t30))) % 26.72/26.99 (assume @p6 (forall @t36 (=> (and (not @t35) @t34 (not (exists @t32 @t38))) @t37))) % 26.72/26.99 (assume @p7 (forall @t36 (=> (and @t40 (not (exists @t32 @t39))) @t33))) % 26.72/26.99 (assume @p8 (forall @t36 (=> (and (not @t40) (not (exists @t32 @t42))) @t34))) % 26.72/26.99 (assume @p9 (forall @t43 (=> @t38 @t30))) % 26.72/26.99 (assume @p10 (forall @t43 (=> @t31 @t37))) % 26.72/26.99 (assume @p11 (forall @t43 (=> @t42 @t33))) % 26.72/26.99 (assume @p12 (forall @t43 (=> @t39 @t34))) % 26.72/26.99 (assume @p13 @t62) % 26.72/26.99 (assume @p14 (forall @t61 (= @t4 (or (and @t52 @t56) (and @t47 @t56))))) % 26.72/26.99 (assume @p15 (forall @t61 (= @t41 (exists @t50 (and @t57 @t46))))) % 26.72/26.99 (assume @p16 @t70) % 26.72/26.99 (assume @p17 @t80) % 26.72/26.99 (assume @p18 @t85) % 26.72/26.99 (assume @p19 (not (= tptp.tapOff tptp.tapOn))) % 26.72/26.99 (assume @p20 (not (= tptp.tapOff tptp.overflow))) % 26.72/26.99 (assume @p21 (not (= tptp.overflow tptp.tapOn))) % 26.72/26.99 (assume @p22 (forall @t88 (not (= tptp.filling @t87)))) % 26.72/26.99 (assume @p23 (forall @t88 (not (= tptp.spilling @t87)))) % 26.72/26.99 (assume @p24 (not @t89)) % 26.72/26.99 (assume @p25 (forall @t92 (= (= @t87 (tptp.waterLevel @t90)) @t91))) % 26.72/26.99 (assume @p26 (= (tptp.plus tptp.n0 tptp.n0) tptp.n0)) % 26.72/26.99 (assume @p27 (= @t93 tptp.n1)) % 26.72/26.99 (assume @p28 (= @t94 tptp.n2)) % 26.72/26.99 (assume @p29 (= @t95 tptp.n3)) % 26.72/26.99 (assume @p30 (= @t96 tptp.n2)) % 26.72/26.99 (assume @p31 (= @t97 tptp.n3)) % 26.72/26.99 (assume @p32 (= @t98 tptp.n4)) % 26.72/26.99 (assume @p33 (= (tptp.plus tptp.n2 tptp.n2) tptp.n4)) % 26.72/26.99 (assume @p34 (= @t99 tptp.n5)) % 26.72/26.99 (assume @p35 (= (tptp.plus tptp.n3 tptp.n3) tptp.n6)) % 26.72/26.99 (assume @p36 (forall @t92 (= (tptp.plus @t86 @t90) (tptp.plus @t90 @t86)))) % 26.72/26.99 (assume @p37 @t101) % 26.72/26.99 (assume @p38 @t104) % 26.72/26.99 (assume @p39 @t105) % 26.72/26.99 (assume @p40 @t109) % 26.72/26.99 (assume @p41 (forall @t88 (= (tptp.less @t86 tptp.n3) (tptp.less_or_equal @t86 tptp.n2)))) % 26.72/26.99 (assume @p42 @t113) % 26.72/26.99 (assume @p43 @t117) % 26.72/26.99 (assume @p44 (forall @t88 (= (tptp.less @t86 tptp.n6) (tptp.less_or_equal @t86 tptp.n5)))) % 26.72/26.99 (assume @p45 (forall @t88 (= (tptp.less @t86 tptp.n7) (tptp.less_or_equal @t86 tptp.n6)))) % 26.72/26.99 (assume @p46 (forall @t88 (= (tptp.less @t86 tptp.n8) (tptp.less_or_equal @t86 tptp.n7)))) % 26.72/26.99 (assume @p47 (forall @t88 (= (tptp.less @t86 tptp.n9) (tptp.less_or_equal @t86 tptp.n8)))) % 26.72/26.99 (assume @p48 @t122) % 26.72/26.99 (assume @p49 @t123) % 26.72/26.99 (assume @p50 (not @t124)) % 26.72/26.99 (assume @p51 (not (tptp.holdsAt tptp.spilling tptp.n0))) % 26.72/26.99 (assume @p52 (forall @t50 (not (tptp.releasedAt @t45 tptp.n0)))) % 26.72/26.99 (assume @p53 (not (tptp.releasedAt tptp.filling tptp.n0))) % 26.72/26.99 (assume @p54 (not (tptp.releasedAt tptp.spilling tptp.n0))) % 26.72/26.99 (assume @p55 @t127) % 26.72/26.99 (assume @p56 true) % 26.72/26.99 (step @p57 :rule symm :premises (@p30)) % 26.72/26.99 (step @p58 :rule refl :args (tptp.n1)) % 26.72/26.99 (step @p59 :rule cong :premises (@p58 @p57) :args (@t97)) % 26.72/26.99 (step @p60 :rule refl :args (tptp.n3)) % 26.72/26.99 (step @p61 :rule cong :premises (@p60 @p59) :args ((= tptp.n3 @t97))) % 26.72/26.99 (step @p62 :rule symm :premises (@p31)) % 26.72/26.99 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 26.72/26.99 (step @p64 :rule refl :args (tptp.n0)) % 26.72/26.99 (step @p65 :rule cong :premises (@p64 @p63) :args (@t95)) % 26.72/26.99 (step @p66 :rule cong :premises (@p63 @p65) :args ((= tptp.n3 @t95))) % 26.72/26.99 (step @p67 :rule eq-symm :args (@t95 tptp.n3)) % 26.72/26.99 (step @p68 :rule trans :premises (@p67 @p66)) % 26.72/26.99 (step @p69 :rule eq_resolve :premises (@p29 @p68)) % 26.72/26.99 (step @p70 :rule instantiate :premises (@p36) :args ((@list @t96 @t128))) % 26.72/26.99 (step @p71 :rule eq-symm :args (@t129 @t128)) % 26.72/26.99 (step @p72 :rule refl :args (@t130)) % 26.72/26.99 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t131)) % 26.72/26.99 (step @p74 :rule refl :args (@t132)) % 26.72/26.99 (step @p75 :rule cong :premises (@p74 @p73) :args (@t133)) % 26.72/26.99 (step @p76 :rule refl :args (@t101)) % 26.72/26.99 (step @p77 :rule cong :premises (@p76 @p75) :args ((=> @t101 @t133))) % 26.72/26.99 (assume-push @p767 @t101) % 26.72/26.99 (step @p79 :rule instantiate :premises (@p37) :args ((@list @t129 @t128))) % 26.72/26.99 (step-pop @p768 :rule scope :premises (@p79)) % 26.72/26.99 (step @p80 :rule process_scope :premises (@p768) :args (@t133)) % 26.72/26.99 (step @p82 :rule eq_resolve :premises (@p80 @p77)) % 26.72/26.99 (step @p83 :rule implies_elim :premises (@p82)) % 26.72/26.99 (step @p84 :rule chain_m_resolution :premises (@p83 @p37) :args (@t136 @t137 @t138)) % 26.72/26.99 (step @p85 :rule eq-symm :args (@t140 @t141)) % 26.72/26.99 (step @p86 :rule cong :premises (@p85) :args ((forall @t88 (= @t140 @t141)))) % 26.72/26.99 (step @p87 :rule refl :args (@t86)) % 26.72/26.99 (step @p88 :rule cong :premises (@p87 @p63) :args (@t110)) % 26.72/26.99 (step @p89 :rule cong :premises (@p58 @p63) :args (@t98)) % 26.72/26.99 (step @p90 :rule refl :args (tptp.n4)) % 26.72/26.99 (step @p91 :rule cong :premises (@p90 @p89) :args ((= tptp.n4 @t98))) % 26.72/26.99 (step @p92 :rule symm :premises (@p32)) % 26.72/26.99 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 26.72/26.99 (step @p94 :rule cong :premises (@p87 @p93) :args (@t111)) % 26.72/26.99 (step @p95 :rule cong :premises (@p94 @p88) :args (@t112)) % 26.72/26.99 (step @p96 :rule cong :premises (@p95) :args (@t113)) % 26.72/26.99 (step @p97 :rule trans :premises (@p96 @p86)) % 26.72/26.99 (step @p98 :rule eq_resolve :premises (@p42 @p97)) % 26.72/26.99 (step @p99 :rule instantiate :premises (@p98) :args (@t142)) % 26.72/26.99 (step @p100 :rule eq-symm :args (@t129 @t139)) % 26.72/26.99 (step @p101 :rule refl :args (@t143)) % 26.72/26.99 (step @p102 :rule nary_cong :premises (@p101 @p100) :args (@t144)) % 26.72/26.99 (step @p103 :rule refl :args (@t145)) % 26.72/26.99 (step @p104 :rule cong :premises (@p103 @p102) :args (@t146)) % 26.72/26.99 (step @p105 :rule cong :premises (@p76 @p104) :args ((=> @t101 @t146))) % 26.72/26.99 (assume-push @p769 @t101) % 26.72/26.99 (step @p107 :rule instantiate :premises (@p37) :args ((@list @t129 @t139))) % 26.72/26.99 (step-pop @p770 :rule scope :premises (@p107)) % 26.72/26.99 (step @p108 :rule process_scope :premises (@p770) :args (@t146)) % 26.72/26.99 (step @p110 :rule eq_resolve :premises (@p108 @p105)) % 26.72/26.99 (step @p111 :rule implies_elim :premises (@p110)) % 26.72/26.99 (step @p112 :rule chain_m_resolution :premises (@p111 @p37) :args (@t148 @t137 @t138)) % 26.72/26.99 (step @p113 :rule eq-symm :args (@t149 @t150)) % 26.72/26.99 (step @p114 :rule cong :premises (@p113) :args ((forall @t88 (= @t149 @t150)))) % 26.72/26.99 (step @p115 :rule cong :premises (@p87 @p93) :args (@t114)) % 26.72/26.99 (step @p116 :rule cong :premises (@p57 @p63) :args (@t99)) % 26.72/26.99 (step @p117 :rule refl :args (tptp.n5)) % 26.72/26.99 (step @p118 :rule cong :premises (@p117 @p116) :args ((= tptp.n5 @t99))) % 26.72/26.99 (step @p119 :rule symm :premises (@p34)) % 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:args ((= @t312 @t311))) % 26.72/26.99 (step @p570 :rule cong :premises (@p569) :args ((forall @t50 @t312))) % 26.72/26.99 (step @p571 :rule trans :premises (@p570 @p568)) % 26.72/26.99 (step @p572 :rule aci_norm :args ((= (or @t301 (or @t305 @t300)) @t312))) % 26.72/26.99 (step @p573 :rule bool-and-de-morgan :args (@t47 @t46 true)) % 26.72/26.99 (step @p574 :rule refl :args (@t301)) % 26.72/26.99 (step @p575 :rule nary_cong :premises (@p574 @p573) :args ((or @t301 (not (and @t47 @t46))))) % 26.72/26.99 (step @p576 :rule bool-and-de-morgan :args (@t48 @t47 (and @t46))) % 26.72/26.99 (step @p577 :rule trans :premises (@p576 @p575)) % 26.72/26.99 (step @p578 :rule trans :premises (@p577 @p572)) % 26.72/26.99 (step @p579 :rule cong :premises (@p578) :args (@t313)) % 26.72/26.99 (step @p580 :rule trans :premises (@p579 @p571)) % 26.72/26.99 (step @p581 :rule cong :premises (@p580) :args (@t314)) % 26.72/26.99 (step @p582 :rule exists-elim :args ((= @t51 @t314))) % 26.72/26.99 (step @p583 :rule trans :premises (@p582 @p581)) % 26.72/26.99 (step @p584 :rule quant-miniscope-or :args ((= (forall @t50 @t315) @t308))) % 26.72/26.99 (step @p585 :rule aci_norm :args ((= @t316 @t315))) % 26.72/26.99 (step @p586 :rule cong :premises (@p585) :args ((forall @t50 @t316))) % 26.72/26.99 (step @p587 :rule trans :premises (@p586 @p584)) % 26.72/26.99 (step @p588 :rule aci_norm :args ((= (or @t301 (or @t306 @t300)) @t316))) % 26.72/26.99 (step @p589 :rule bool-and-de-morgan :args (@t52 @t46 true)) % 26.72/26.99 (step @p590 :rule nary_cong :premises (@p574 @p589) :args ((or @t301 (not (and @t52 @t46))))) % 26.72/26.99 (step @p591 :rule bool-and-de-morgan :args (@t48 @t52 (and @t46))) % 26.72/26.99 (step @p592 :rule trans :premises (@p591 @p590)) % 26.72/26.99 (step @p593 :rule trans :premises (@p592 @p588)) % 26.72/26.99 (step @p594 :rule cong :premises (@p593) :args (@t317)) % 26.72/26.99 (step @p595 :rule trans :premises (@p594 @p587)) % 26.72/26.99 (step @p596 :rule cong :premises (@p595) :args (@t318)) % 26.72/26.99 (step @p597 :rule exists-elim :args ((= @t54 @t318))) % 26.72/26.99 (step @p598 :rule trans :premises (@p597 @p596)) % 26.72/26.99 (step @p599 :rule refl :args (@t55)) % 26.72/26.99 (step @p600 :rule refl :args (@t58)) % 26.72/26.99 (step @p601 :rule nary_cong :premises (@p600 @p599 @p598 @p583) :args (@t59)) % 26.72/26.99 (step @p602 :rule refl :args (@t16)) % 26.72/26.99 (step @p603 :rule cong :premises (@p602 @p601) :args (@t60)) % 26.72/26.99 (step @p604 :rule cong :premises (@p603) :args (@t62)) % 26.72/26.99 (step @p605 :rule trans :premises (@p604 @p567)) % 26.72/26.99 (step @p606 :rule eq_resolve :premises (@p13 @p605)) % 26.72/26.99 (step @p607 :rule bool-eq-true :args (@t319)) % 26.72/26.99 (step @p608 :rule absorb :args ((= (or true @t324 @t323 @t322) true))) % 26.72/26.99 (step @p609 :rule refl :args (@t322)) % 26.72/26.99 (step @p610 :rule refl :args (@t323)) % 26.72/26.99 (step @p611 :rule refl :args (@t324)) % 26.72/26.99 (step @p612 :rule evaluate :args ((and true true))) % 26.72/26.99 (step @p613 :rule eq-refl :args (tptp.filling)) % 26.72/26.99 (step @p614 :rule eq-refl :args (tptp.tapOn)) % 26.72/26.99 (step @p615 :rule nary_cong :premises (@p614 @p613) :args (@t326)) % 26.72/26.99 (step @p616 :rule trans :premises (@p615 @p612)) % 26.72/26.99 (step @p617 :rule nary_cong :premises (@p616 @p611 @p610 @p609) :args (@t327)) % 26.72/26.99 (step @p618 :rule trans :premises (@p617 @p608)) % 26.72/26.99 (step @p619 :rule refl :args (@t319)) % 26.72/26.99 (step @p620 :rule cong :premises (@p619 @p618) :args (@t328)) % 26.72/26.99 (step @p621 :rule trans :premises (@p620 @p607)) % 26.72/26.99 (step @p622 :rule refl :args (@t329)) % 26.72/26.99 (step @p623 :rule cong :premises (@p622 @p621) :args ((=> @t329 @t328))) % 26.72/26.99 (assume-push @p813 @t329) % 26.72/26.99 (step @p625 :rule instantiate :premises (@p606) :args ((@list tptp.tapOn tptp.filling tptp.n0))) % 26.72/26.99 (step-pop @p814 :rule scope :premises (@p625)) % 26.72/26.99 (step @p626 :rule process_scope :premises (@p814) :args (@t328)) % 26.72/26.99 (step @p628 :rule eq_resolve :premises (@p626 @p623)) % 26.72/26.99 (step @p629 :rule implies_elim :premises (@p628)) % 26.72/26.99 (step @p630 :rule chain_m_resolution :premises (@p629 @p606) :args (@t319 @t137 (@list @t329))) % 26.72/26.99 (step @p631 :rule bool-eq-true :args (@t330)) % 26.72/26.99 (step @p632 :rule absorb :args ((= (or true @t331) true))) % 26.72/26.99 (step @p633 :rule refl :args (@t331)) % 26.72/26.99 (step @p634 :rule nary_cong :premises (@p614 @p535) :args (@t332)) % 26.72/26.99 (step @p635 :rule trans :premises (@p634 @p612)) % 26.72/26.99 (step @p636 :rule nary_cong :premises (@p635 @p633) :args (@t333)) % 26.72/26.99 (step @p637 :rule trans :premises (@p636 @p632)) % 26.72/26.99 (step @p638 :rule refl :args (@t330)) % 26.72/26.99 (step @p639 :rule cong :premises (@p638 @p637) :args (@t334)) % 26.72/26.99 (step @p640 :rule trans :premises (@p639 @p631)) % 26.72/26.99 (step @p641 :rule cong :premises (@p308 @p640) :args ((=> @t216 @t334))) % 26.72/26.99 (assume-push @p815 @t216) % 26.72/26.99 (step @p643 :rule instantiate :premises (@p297) :args ((@list tptp.tapOn tptp.n0))) % 26.72/26.99 (step-pop @p816 :rule scope :premises (@p643)) % 26.72/26.99 (step @p644 :rule process_scope :premises (@p816) :args (@t334)) % 26.72/26.99 (step @p646 :rule eq_resolve :premises (@p644 @p641)) % 26.72/26.99 (step @p647 :rule implies_elim :premises (@p646)) % 26.72/26.99 (step @p648 :rule chain_m_resolution :premises (@p647 @p297) :args (@t330 @t137 @t222)) % 26.72/26.99 (step @p649 :rule cnf_or_pos :args (@t340)) % 26.72/26.99 (step @p650 :rule reordering :premises (@p649) :args ((or @t339 @t338 @t337 @t289 @t336 @t335 (not @t340)))) % 26.72/26.99 (step @p651 :rule chain_m_resolution :premises (@p650 @p648 @p630 @p552 @p522 @p449 @p445) :args (@t335 (@list false false false true false false) (@list @t330 @t319 @t292 @t289 @t262 @t340))) % 26.72/26.99 (assume-push @p817 @t285) % 26.72/26.99 (assume-push @p818 @t335) % 26.72/26.99 (assume-push @p819 @t335) % 26.72/26.99 (assume-push @p820 @t285) % 26.72/26.99 (step @p656 :rule true_intro :premises (@p818)) % 26.72/26.99 (step @p657 :rule cong :premises (@p488) :args (@t249)) % 26.72/26.99 (step @p658 :rule cong :premises (@p657 @p488) :args (@t250)) % 26.72/26.99 (step @p659 :rule trans :premises (@p658 @p656)) % 26.72/26.99 (step @p660 :rule true_elim :premises (@p659)) % 26.72/26.99 (step-pop @p821 :rule scope :premises (@p660)) % 26.72/26.99 (step-pop @p822 :rule scope :premises (@p821)) % 26.72/26.99 (step @p661 :rule process_scope :premises (@p822) :args (@t250)) % 26.72/26.99 (step @p664 :rule and_intro :premises (@p818 @p488)) % 26.72/26.99 (step @p665 :rule modus_ponens :premises (@p664 @p661)) % 26.72/26.99 (step-pop @p823 :rule scope :premises (@p665)) % 26.72/26.99 (step-pop @p824 :rule scope :premises (@p823)) % 26.72/26.99 (step @p666 :rule process_scope :premises (@p824) :args (@t250)) % 26.72/26.99 (step @p669 :rule implies_elim :premises (@p666)) % 26.72/26.99 (step @p670 :rule cnf_and_neg :args (@t341)) % 26.72/26.99 (step @p671 :rule resolution :premises (@p670 @p669) :args (true @t341)) % 26.72/26.99 (step @p672 :rule reordering :premises (@p671) :args ((or (not @t285) @t250 (not @t335)))) % 26.72/26.99 (step @p673 :rule chain_m_resolution :premises (@p672 @p488 @p651) :args (@t250 @t190 (@list @t285 @t335))) % 26.72/26.99 (step @p674 :rule cnf_or_pos :args (@t257)) % 26.72/26.99 (step @p675 :rule reordering :premises (@p674) :args ((or @t253 @t251 @t256 (not @t257)))) % 26.72/26.99 (step @p676 :rule chain_m_resolution :premises (@p675 @p673 @p444 @p424) :args (@t253 (@list false true false) (@list @t250 @t256 @t257))) % 26.72/26.99 (step @p677 :rule refl :args (@t342)) % 26.72/26.99 (step @p678 :rule refl :args (@t343)) % 26.72/26.99 (step @p679 :rule bool-double-not-elim :args (@t252)) % 26.72/26.99 (step @p680 :rule nary_cong :premises (@p679 @p678 @p677) :args ((or (not @t253) @t343 @t342))) % 26.72/26.99 (assume-push @p825 @t253) % 26.72/26.99 (assume-push @p826 @t244) % 26.72/26.99 (assume-push @p827 @t210) % 26.72/26.99 (step @p684 :rule evaluate :args ((= true false))) % 26.72/26.99 (step @p685 :rule false_intro :premises (@p825)) % 26.72/26.99 (step @p686 :rule symm :premises (@p826)) % 26.72/26.99 (step @p687 :rule refl :args (@t209)) % 26.72/26.99 (step @p688 :rule cong :premises (@p687 @p686) :args (@t210)) % 26.72/26.99 (step @p689 :rule true_intro :premises (@p827)) % 26.72/26.99 (step @p690 :rule symm :premises (@p689)) % 26.72/26.99 (step @p691 :rule trans :premises (@p690 @p688 @p685)) % 26.72/26.99 (step @p692 false :rule eq_resolve :premises (@p691 @p684)) % 26.72/26.99 (step-pop @p828 :rule scope :premises (@p692)) % 26.72/26.99 (step-pop @p829 :rule scope :premises (@p828)) % 26.72/26.99 (step-pop @p830 :rule scope :premises (@p829)) % 26.72/26.99 (step @p693 :rule process_scope :premises (@p830) :args (false)) % 26.72/26.99 (assume-push @p831 @t253) % 26.72/26.99 (assume-push @p832 @t210) % 26.72/26.99 (assume-push @p833 @t244) % 26.72/26.99 (step @p700 :rule and_intro :premises (@p831 @p833 @p832)) % 26.72/26.99 (step-pop @p834 :rule scope :premises (@p700)) % 26.72/26.99 (step-pop @p835 :rule scope :premises (@p834)) % 26.72/26.99 (step-pop @p836 :rule scope :premises (@p835)) % 26.72/26.99 (step @p701 :rule process_scope :premises (@p836) :args (@t344)) % 26.72/26.99 (step @p705 :rule implies_elim :premises (@p701)) % 26.72/26.99 (step @p706 :rule resolution :premises (@p705 @p693) :args (true @t344)) % 26.72/26.99 (step @p707 :rule not_and :premises (@p706)) % 26.72/26.99 (step @p708 :rule eq_resolve :premises (@p707 @p680)) % 26.72/26.99 (step @p709 :rule chain_m_resolution :premises (@p708 @p676 @p402 @p400 @p398 @p385 @p383 @p374 @p212 @p354 @p352 @p351 @p349 @p347 @p335 @p333 @p331 @p325 @p323 @p321 @p319 @p318 @p316 @p285 @p280 @p275) :args (@t207 (@list true false false false false false false false true false false true false false true true true true false false false false false false false) (@list @t252 @t244 @t245 @t246 @t240 @t241 @t237 @t236 @t234 @t235 @t210 @t231 @t233 @t217 @t229 @t224 @t219 @t218 @t225 @t226 @t220 @t221 @t202 @t204 @t201))) % 26.72/26.99 (step @p710 :rule refl :args (@t345)) % 26.72/26.99 (step @p711 :rule bool-double-not-elim :args (@t198)) % 26.72/26.99 (step @p712 :rule nary_cong :premises (@p711 @p710) :args ((or (not @t346) @t345))) % 26.72/26.99 (assume-push @p837 @t346) % 26.72/26.99 (step @p714 :rule skolemize :premises (@p837)) % 26.72/26.99 (step-pop @p838 :rule scope :premises (@p714)) % 26.72/26.99 (step @p715 :rule process_scope :premises (@p838) :args (@t345)) % 26.72/26.99 (step @p717 :rule implies_elim :premises (@p715)) % 26.72/26.99 (step @p718 :rule eq_resolve :premises (@p717 @p712)) % 26.72/26.99 (step @p719 :rule chain_m_resolution :premises (@p718 @p709) :args (@t198 @t137 (@list @t207))) % 26.72/26.99 (step @p720 :rule cnf_equiv_pos1 :args (@t348)) % 26.72/26.99 (step @p721 :rule reordering :premises (@p720) :args ((or @t349 @t346 (not @t348)))) % 26.72/26.99 (step @p722 :rule chain_m_resolution :premises (@p721 @p719 @p269) :args (@t349 @t190 (@list @t198 @t348))) % 26.72/26.99 (step @p723 :rule cnf_or_pos :args (@t353)) % 26.72/26.99 (step @p724 :rule reordering :premises (@p723) :args ((or @t339 @t338 @t352 @t347 @t350 @t174 (not @t353)))) % 26.72/26.99 (step @p725 :rule chain_m_resolution :premises (@p724 @p648 @p630 @p722 @p250 @p217 @p202) :args (@t352 (@list false false true false true false) (@list @t330 @t319 @t347 @t187 @t174 @t353))) % 26.72/26.99 (step @p726 :rule cnf_equiv_pos2 :args (@t359)) % 26.72/26.99 (step @p727 :rule reordering :premises (@p726) :args ((or @t351 @t360 (not @t359)))) % 26.72/26.99 (step @p728 :rule chain_m_resolution :premises (@p727 @p725 @p174) :args (@t360 @t159 (@list @t351 @t359))) % 26.72/26.99 (step @p729 :rule instantiate :premises (@p330) :args ((@list @t96))) % 26.72/26.99 (step @p730 :rule bool-double-not-elim :args (@t354)) % 26.72/26.99 (step @p731 :rule bool-double-not-elim :args (@t356)) % 26.72/26.99 (step @p732 :rule refl :args (@t358)) % 26.72/26.99 (step @p733 :rule nary_cong :premises (@p732 @p731 @p730) :args ((or @t358 (not @t357) (not @t355)))) % 26.72/26.99 (step @p734 :rule cnf_and_neg :args (@t358)) % 26.72/26.99 (step @p735 :rule eq_resolve :premises (@p734 @p733)) % 26.72/26.99 (step @p736 :rule reordering :premises (@p735) :args ((or @t354 @t356 @t358))) % 26.72/26.99 (step @p737 :rule chain_m_resolution :premises (@p736 @p729 @p728) :args (@t354 (@list true true) (@list @t356 @t358))) % 26.72/26.99 (assume-push @p839 @t362) % 26.72/26.99 (assume-push @p840 @t354) % 26.72/26.99 (assume-push @p841 @t364) % 26.72/26.99 (assume-push @p842 @t365) % 26.72/26.99 (assume-push @p843 @t365) % 26.72/26.99 (assume-push @p844 @t354) % 26.72/26.99 (assume-push @p845 @t364) % 26.72/26.99 (assume-push @p846 @t362) % 26.72/26.99 (step @p746 :rule symm :premises (@p70)) % 26.72/26.99 (step @p747 :rule refl :args (@t128)) % 26.72/26.99 (step @p748 :rule cong :premises (@p747 @p840) :args (@t363)) % 26.72/26.99 (step @p749 :rule trans :premises (@p69 @p173 @p748 @p746)) % 26.72/26.99 (step-pop @p847 :rule scope :premises (@p749)) % 26.72/26.99 (step-pop @p848 :rule scope :premises (@p847)) % 26.72/26.99 (step-pop @p849 :rule scope :premises (@p848)) % 26.72/26.99 (step-pop @p850 :rule scope :premises (@p849)) % 26.72/26.99 (step @p750 :rule process_scope :premises (@p850) :args (@t134)) % 26.72/26.99 (step @p755 :rule and_intro :premises (@p70 @p840 @p173 @p69)) % 26.72/26.99 (step @p756 :rule modus_ponens :premises (@p755 @p750)) % 26.72/26.99 (step-pop @p851 :rule scope :premises (@p756)) % 26.72/26.99 (step-pop @p852 :rule scope :premises (@p851)) % 26.72/26.99 (step-pop @p853 :rule scope :premises (@p852)) % 26.72/26.99 (step-pop @p854 :rule scope :premises (@p853)) % 26.72/26.99 (step @p757 :rule process_scope :premises (@p854) :args (@t134)) % 26.72/26.99 (step @p762 :rule implies_elim :premises (@p757)) % 26.72/26.99 (step @p763 :rule cnf_and_neg :args (@t366)) % 26.72/26.99 (step @p764 :rule resolution :premises (@p763 @p762) :args (true @t366)) % 26.72/26.99 (step @p765 :rule reordering :premises (@p764) :args ((or (not @t362) @t355 (not @t365) @t134 (not @t364)))) % 26.72/26.99 (step @p766 false :rule chain_m_resolution :premises (@p765 @p737 @p173 @p172 @p70 @p69) :args (false (@list false false true false false) (@list @t354 @t364 @t134 @t365 @t362))) % 26.72/26.99 ) % 26.72/26.99 % SZS output end Proof % 26.72/26.99 % cvc5 exiting %------------------------------------------------------------------------------