%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR012+1 : TPTP v9.2.1. Bugfixed v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 0.60s 0.81s % Output : Proof 0.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR012+1 : TPTP v9.2.1. Bugfixed v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n017.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 20:35:31 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.60/0.81 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.60/0.81 % SZS status Theorem % 0.60/0.81 % SZS output start Proof % 0.60/0.81 ( % 0.60/0.81 (declare-sort $$unsorted 0) % 0.60/0.81 (declare-const tptp.n7 $$unsorted) % 0.60/0.81 (declare-const tptp.n6 $$unsorted) % 0.60/0.81 (declare-const tptp.n5 $$unsorted) % 0.60/0.81 (declare-const tptp.n3 $$unsorted) % 0.60/0.81 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 0.60/0.81 (declare-const tptp.tapOn $$unsorted) % 0.60/0.81 (declare-const tptp.filling $$unsorted) % 0.60/0.81 (declare-const tptp.spilling $$unsorted) % 0.60/0.81 (declare-const tptp.overflow $$unsorted) % 0.60/0.81 (declare-const tptp.n2 $$unsorted) % 0.60/0.81 (declare-const tptp.waterLevel (-> $$unsorted $$unsorted)) % 0.60/0.81 (declare-const tptp.terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.60/0.81 (declare-const tptp.initiates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.60/0.81 (declare-const tptp.antitrajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.60/0.81 (declare-const tptp.n9 $$unsorted) % 0.60/0.81 (declare-const tptp.n4 $$unsorted) % 0.60/0.81 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.60/0.81 (declare-const tptp.startedIn (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.60/0.81 (declare-const tptp.happens (-> $$unsorted $$unsorted Bool)) % 0.60/0.81 (declare-const tptp.releases (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.60/0.81 (declare-const tptp.holdsAt (-> $$unsorted $$unsorted Bool)) % 0.60/0.81 (declare-const tptp.stoppedIn (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.60/0.81 (declare-const tptp.trajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.60/0.81 (declare-const tptp.tapOff $$unsorted) % 0.60/0.81 (declare-const tptp.n0 $$unsorted) % 0.60/0.81 (declare-const tptp.n8 $$unsorted) % 0.60/0.81 (declare-const tptp.n1 $$unsorted) % 0.60/0.81 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.60/0.81 (declare-const tptp.releasedAt (-> $$unsorted $$unsorted Bool)) % 0.60/0.81 (define @t1 () (@var "Time" $$unsorted)) % 0.60/0.81 (define @t2 () (@var "Fluent" $$unsorted)) % 0.60/0.81 (define @t3 () (@var "Event" $$unsorted)) % 0.60/0.81 (define @t4 () (tptp.terminates @t3 @t2 @t1)) % 0.60/0.81 (define @t5 () (@var "Time2" $$unsorted)) % 0.60/0.81 (define @t6 () (tptp.less @t1 @t5)) % 0.60/0.81 (define @t7 () (@var "Time1" $$unsorted)) % 0.60/0.81 (define @t8 () (tptp.less @t7 @t1)) % 0.60/0.81 (define @t9 () (tptp.happens @t3 @t1)) % 0.60/0.81 (define @t10 () (and @t9 @t8 @t6 @t4)) % 0.60/0.81 (define @t11 () (@list @t3 @t1)) % 0.60/0.81 (define @t12 () (exists @t11 @t10)) % 0.60/0.81 (define @t13 () (tptp.stoppedIn @t7 @t2 @t5)) % 0.60/0.81 (define @t14 () (= @t13 @t12)) % 0.60/0.81 (define @t15 () (forall (@list @t7 @t2 @t5) @t14)) % 0.60/0.81 (define @t16 () (tptp.initiates @t3 @t2 @t1)) % 0.60/0.81 (define @t17 () (@var "Offset" $$unsorted)) % 0.60/0.81 (define @t18 () (tptp.plus @t1 @t17)) % 0.60/0.81 (define @t19 () (@var "Fluent2" $$unsorted)) % 0.60/0.81 (define @t20 () (tptp.holdsAt @t19 @t18)) % 0.60/0.81 (define @t21 () (tptp.stoppedIn @t1 @t2 @t18)) % 0.60/0.81 (define @t22 () (not @t21)) % 0.60/0.81 (define @t23 () (tptp.trajectory @t2 @t1 @t19 @t17)) % 0.60/0.81 (define @t24 () (tptp.less tptp.n0 @t17)) % 0.60/0.81 (define @t25 () (and @t9 @t16 @t24 @t23 @t22)) % 0.60/0.81 (define @t26 () (forall (@list @t3 @t1 @t2 @t19 @t17) (=> @t25 @t20))) % 0.60/0.81 (define @t27 () (tptp.plus @t7 @t5)) % 0.60/0.81 (define @t28 () (@var "Fluent1" $$unsorted)) % 0.60/0.81 (define @t29 () (tptp.plus @t1 tptp.n1)) % 0.60/0.81 (define @t30 () (tptp.holdsAt @t2 @t29)) % 0.60/0.81 (define @t31 () (and @t9 @t4)) % 0.60/0.81 (define @t32 () (@list @t3)) % 0.60/0.81 (define @t33 () (tptp.releasedAt @t2 @t29)) % 0.60/0.81 (define @t34 () (not @t33)) % 0.60/0.81 (define @t35 () (tptp.holdsAt @t2 @t1)) % 0.60/0.81 (define @t36 () (@list @t2 @t1)) % 0.60/0.81 (define @t37 () (not @t30)) % 0.60/0.81 (define @t38 () (and @t9 @t16)) % 0.60/0.81 (define @t39 () (and @t9 (or @t16 @t4))) % 0.60/0.81 (define @t40 () (tptp.releasedAt @t2 @t1)) % 0.60/0.81 (define @t41 () (tptp.releases @t3 @t2 @t1)) % 0.60/0.81 (define @t42 () (and @t9 @t41)) % 0.60/0.81 (define @t43 () (@list @t3 @t1 @t2)) % 0.60/0.81 (define @t44 () (@var "Height" $$unsorted)) % 0.60/0.81 (define @t45 () (tptp.waterLevel @t44)) % 0.60/0.81 (define @t46 () (= @t2 @t45)) % 0.60/0.81 (define @t47 () (= @t3 tptp.overflow)) % 0.60/0.81 (define @t48 () (tptp.holdsAt @t45 @t1)) % 0.60/0.81 (define @t49 () (and @t48 @t47 @t46)) % 0.60/0.81 (define @t50 () (@list @t44)) % 0.60/0.81 (define @t51 () (exists @t50 @t49)) % 0.60/0.81 (define @t52 () (= @t3 tptp.tapOff)) % 0.60/0.81 (define @t53 () (and @t48 @t52 @t46)) % 0.60/0.81 (define @t54 () (exists @t50 @t53)) % 0.60/0.81 (define @t55 () (and @t47 (= @t2 tptp.spilling))) % 0.60/0.81 (define @t56 () (= @t2 tptp.filling)) % 0.60/0.81 (define @t57 () (= @t3 tptp.tapOn)) % 0.60/0.81 (define @t58 () (and @t57 @t56)) % 0.60/0.81 (define @t59 () (or @t58 @t55 @t54 @t51)) % 0.60/0.81 (define @t60 () (= @t16 @t59)) % 0.60/0.81 (define @t61 () (@list @t3 @t2 @t1)) % 0.60/0.81 (define @t62 () (forall @t61 @t60)) % 0.60/0.81 (define @t63 () (tptp.waterLevel tptp.n3)) % 0.60/0.81 (define @t64 () (forall @t11 (= @t9 (or (and @t57 (= @t1 tptp.n0)) (and (tptp.holdsAt @t63 @t1) (tptp.holdsAt tptp.filling @t1) @t47))))) % 0.60/0.81 (define @t65 () (@var "Height2" $$unsorted)) % 0.60/0.81 (define @t66 () (tptp.waterLevel @t65)) % 0.60/0.81 (define @t67 () (tptp.trajectory tptp.filling @t1 @t66 @t17)) % 0.60/0.81 (define @t68 () (@var "Height1" $$unsorted)) % 0.60/0.81 (define @t69 () (tptp.plus @t68 @t17)) % 0.60/0.81 (define @t70 () (= @t65 @t69)) % 0.60/0.81 (define @t71 () (tptp.holdsAt (tptp.waterLevel @t68) @t1)) % 0.60/0.81 (define @t72 () (and @t71 @t70)) % 0.60/0.81 (define @t73 () (@list @t68 @t1 @t65 @t17)) % 0.60/0.81 (define @t74 () (forall @t73 (=> @t72 @t67))) % 0.60/0.81 (define @t75 () (@var "X" $$unsorted)) % 0.60/0.81 (define @t76 () (tptp.waterLevel @t75)) % 0.60/0.81 (define @t77 () (@list @t75)) % 0.60/0.81 (define @t78 () (= tptp.filling tptp.spilling)) % 0.60/0.81 (define @t79 () (@var "Y" $$unsorted)) % 0.60/0.81 (define @t80 () (= @t75 @t79)) % 0.60/0.81 (define @t81 () (@list @t75 @t79)) % 0.60/0.81 (define @t82 () (tptp.plus tptp.n0 tptp.n0)) % 0.60/0.81 (define @t83 () (tptp.plus tptp.n0 tptp.n1)) % 0.60/0.81 (define @t84 () (tptp.less @t75 @t79)) % 0.60/0.81 (define @t85 () (forall @t81 (= (tptp.less_or_equal @t75 @t79) (or @t84 @t80)))) % 0.60/0.81 (define @t86 () (forall @t77 (= (tptp.less @t75 tptp.n1) (tptp.less_or_equal @t75 tptp.n0)))) % 0.60/0.81 (define @t87 () (not (= @t79 @t75))) % 0.60/0.81 (define @t88 () (not (tptp.less @t79 @t75))) % 0.60/0.81 (define @t89 () (and @t88 @t87)) % 0.60/0.81 (define @t90 () (= @t84 @t89)) % 0.60/0.81 (define @t91 () (forall @t81 @t90)) % 0.60/0.81 (define @t92 () (tptp.holdsAt tptp.filling tptp.n0)) % 0.60/0.81 (define @t93 () (not @t9)) % 0.60/0.81 (define @t94 () (forall @t11 (or @t93 (not (tptp.less tptp.n0 @t1)) (not (tptp.less @t1 @t83)) (not (tptp.terminates @t3 tptp.filling @t1))))) % 0.60/0.81 (define @t95 () (@quantifiers_skolemize @t94 1)) % 0.60/0.81 (define @t96 () (not @t4)) % 0.60/0.81 (define @t97 () (not @t6)) % 0.60/0.81 (define @t98 () (not @t8)) % 0.60/0.81 (define @t99 () (forall @t11 (not @t10))) % 0.60/0.81 (define @t100 () (not @t99)) % 0.60/0.81 (define @t101 () (not @t23)) % 0.60/0.81 (define @t102 () (not @t24)) % 0.60/0.81 (define @t103 () (not @t16)) % 0.60/0.81 (define @t104 () (not @t22)) % 0.60/0.81 (define @t105 () (or @t93 @t103 @t102 @t101 @t104)) % 0.60/0.81 (define @t106 () (tptp.plus @t82 tptp.n1)) % 0.60/0.81 (define @t107 () (tptp.waterLevel @t106)) % 0.60/0.81 (define @t108 () (tptp.holdsAt @t107 @t83)) % 0.60/0.81 (define @t109 () (tptp.less tptp.n0 tptp.n1)) % 0.60/0.81 (define @t110 () (tptp.less_or_equal tptp.n0 tptp.n0)) % 0.60/0.81 (define @t111 () (= @t109 @t110)) % 0.60/0.81 (define @t112 () (= @t110 @t109)) % 0.60/0.81 (define @t113 () (@list false)) % 0.60/0.81 (define @t114 () (tptp.less tptp.n0 tptp.n0)) % 0.60/0.81 (define @t115 () (= tptp.n0 tptp.n0)) % 0.60/0.81 (define @t116 () (or @t114 @t115)) % 0.60/0.81 (define @t117 () (= @t110 @t116)) % 0.60/0.81 (define @t118 () (@list @t85)) % 0.60/0.81 (define @t119 () (@list false false)) % 0.60/0.81 (define @t120 () (not @t46)) % 0.60/0.81 (define @t121 () (not @t48)) % 0.60/0.81 (define @t122 () (or @t121 @t120)) % 0.60/0.81 (define @t123 () (forall @t50 @t122)) % 0.60/0.81 (define @t124 () (not @t123)) % 0.60/0.81 (define @t125 () (not @t47)) % 0.60/0.81 (define @t126 () (not @t52)) % 0.60/0.81 (define @t127 () (or @t125 @t123)) % 0.60/0.81 (define @t128 () (or @t126 @t123)) % 0.60/0.81 (define @t129 () (or @t58 @t55 (not @t128) (not @t127))) % 0.60/0.81 (define @t130 () (= @t16 @t129)) % 0.60/0.81 (define @t131 () (or @t125 @t122)) % 0.60/0.81 (define @t132 () (or @t121 @t125 @t120)) % 0.60/0.81 (define @t133 () (forall @t50 (not @t49))) % 0.60/0.81 (define @t134 () (not @t133)) % 0.60/0.81 (define @t135 () (or @t126 @t122)) % 0.60/0.81 (define @t136 () (or @t121 @t126 @t120)) % 0.60/0.81 (define @t137 () (forall @t50 (not @t53))) % 0.60/0.81 (define @t138 () (not @t137)) % 0.60/0.81 (define @t139 () (tptp.initiates tptp.tapOn tptp.filling tptp.n0)) % 0.60/0.81 (define @t140 () (not (forall @t50 (or (not (tptp.holdsAt @t45 tptp.n0)) (not (= tptp.filling @t45)))))) % 0.60/0.81 (define @t141 () (= tptp.tapOn tptp.overflow)) % 0.60/0.81 (define @t142 () (and @t141 @t140)) % 0.60/0.81 (define @t143 () (and (= tptp.tapOn tptp.tapOff) @t140)) % 0.60/0.81 (define @t144 () (and @t141 @t78)) % 0.60/0.81 (define @t145 () (= tptp.tapOn tptp.tapOn)) % 0.60/0.81 (define @t146 () (and @t145 (= tptp.filling tptp.filling))) % 0.60/0.81 (define @t147 () (or @t146 @t144 @t143 @t142)) % 0.60/0.81 (define @t148 () (= @t139 @t147)) % 0.60/0.81 (define @t149 () (forall @t61 (= @t16 (or @t58 @t55 (and @t52 @t124) (and @t47 @t124))))) % 0.60/0.81 (define @t150 () (tptp.happens tptp.tapOn tptp.n0)) % 0.60/0.81 (define @t151 () (and (tptp.holdsAt @t63 tptp.n0) @t92 @t141)) % 0.60/0.81 (define @t152 () (and @t145 @t115)) % 0.60/0.81 (define @t153 () (or @t152 @t151)) % 0.60/0.81 (define @t154 () (= @t150 @t153)) % 0.60/0.81 (define @t155 () (tptp.trajectory tptp.filling @t1 (tptp.waterLevel @t69) @t17)) % 0.60/0.81 (define @t156 () (not @t71)) % 0.60/0.81 (define @t157 () (not (= @t69 @t69))) % 0.60/0.81 (define @t158 () (or @t156 @t157 @t155)) % 0.60/0.81 (define @t159 () (@list @t68 @t1 @t17)) % 0.60/0.81 (define @t160 () (not @t70)) % 0.60/0.81 (define @t161 () (or @t160 @t156 @t160 @t67)) % 0.60/0.81 (define @t162 () (@list @t65)) % 0.60/0.81 (define @t163 () (or @t156 @t160 @t67)) % 0.60/0.81 (define @t164 () (forall @t162 @t163)) % 0.60/0.81 (define @t165 () (forall @t159 @t164)) % 0.60/0.81 (define @t166 () (forall (@list @t68 @t1 @t17 @t65) @t163)) % 0.60/0.81 (define @t167 () (tptp.waterLevel @t82)) % 0.60/0.81 (define @t168 () (tptp.holdsAt @t167 tptp.n0)) % 0.60/0.81 (define @t169 () (tptp.trajectory tptp.filling tptp.n0 @t107 tptp.n1)) % 0.60/0.81 (define @t170 () (not @t168)) % 0.60/0.81 (define @t171 () (or @t170 @t169)) % 0.60/0.81 (define @t172 () (tptp.stoppedIn tptp.n0 tptp.filling @t83)) % 0.60/0.81 (define @t173 () (not @t169)) % 0.60/0.81 (define @t174 () (not @t109)) % 0.60/0.81 (define @t175 () (not @t139)) % 0.60/0.81 (define @t176 () (not @t150)) % 0.60/0.81 (define @t177 () (or @t176 @t175 @t174 @t173 @t172 @t108)) % 0.60/0.81 (define @t178 () (not @t94)) % 0.60/0.81 (define @t179 () (= @t172 @t178)) % 0.60/0.81 (define @t180 () (tptp.less @t95 @t83)) % 0.60/0.81 (define @t181 () (@quantifiers_skolemize @t94 0)) % 0.60/0.81 (define @t182 () (not @t180)) % 0.60/0.81 (define @t183 () (tptp.less tptp.n0 @t95)) % 0.60/0.81 (define @t184 () (not @t183)) % 0.60/0.81 (define @t185 () (or (not (tptp.happens @t181 @t95)) @t184 @t182 (not (tptp.terminates @t181 tptp.filling @t95)))) % 0.60/0.81 (define @t186 () (@list true)) % 0.60/0.81 (define @t187 () (@list @t185)) % 0.60/0.81 (define @t188 () (tptp.less @t95 tptp.n1)) % 0.60/0.81 (define @t189 () (tptp.less_or_equal @t95 tptp.n0)) % 0.60/0.81 (define @t190 () (= @t188 @t189)) % 0.60/0.81 (define @t191 () (= @t95 tptp.n0)) % 0.60/0.81 (define @t192 () (not @t191)) % 0.60/0.81 (define @t193 () (and @t184 @t192)) % 0.60/0.81 (define @t194 () (tptp.less @t95 tptp.n0)) % 0.60/0.81 (define @t195 () (= @t194 @t193)) % 0.60/0.81 (define @t196 () (forall @t81 (= @t84 (and @t88 (not @t80))))) % 0.60/0.81 (define @t197 () (@list @t95 tptp.n0)) % 0.60/0.81 (define @t198 () (= tptp.n0 @t95)) % 0.60/0.81 (define @t199 () (not @t198)) % 0.60/0.81 (define @t200 () (and @t184 @t199)) % 0.60/0.81 (define @t201 () (= @t194 @t200)) % 0.60/0.81 (define @t202 () (not @t200)) % 0.60/0.81 (define @t203 () (not @t194)) % 0.60/0.81 (define @t204 () (and @t203 @t199)) % 0.60/0.81 (define @t205 () (= @t183 @t204)) % 0.60/0.81 (define @t206 () (or @t194 @t198)) % 0.60/0.81 (define @t207 () (not @t206)) % 0.60/0.81 (define @t208 () (or @t194 @t191)) % 0.60/0.81 (define @t209 () (= @t189 @t208)) % 0.60/0.81 (define @t210 () (= @t189 @t206)) % 0.60/0.81 (assume @p1 @t15) % 0.60/0.81 (assume @p2 (forall (@list @t7 @t5 @t2) (= (tptp.startedIn @t7 @t2 @t5) (exists @t11 (and @t9 @t8 @t6 @t16))))) % 0.60/0.81 (assume @p3 @t26) % 0.60/0.81 (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)))) % 0.60/0.81 (assume @p5 (forall @t36 (=> (and @t35 @t34 (not (exists @t32 @t31))) @t30))) % 0.60/0.81 (assume @p6 (forall @t36 (=> (and (not @t35) @t34 (not (exists @t32 @t38))) @t37))) % 0.60/0.81 (assume @p7 (forall @t36 (=> (and @t40 (not (exists @t32 @t39))) @t33))) % 0.60/0.81 (assume @p8 (forall @t36 (=> (and (not @t40) (not (exists @t32 @t42))) @t34))) % 0.60/0.81 (assume @p9 (forall @t43 (=> @t38 @t30))) % 0.60/0.81 (assume @p10 (forall @t43 (=> @t31 @t37))) % 0.60/0.81 (assume @p11 (forall @t43 (=> @t42 @t33))) % 0.60/0.81 (assume @p12 (forall @t43 (=> @t39 @t34))) % 0.60/0.81 (assume @p13 @t62) % 0.60/0.81 (assume @p14 (forall @t61 (= @t4 (or (and @t52 @t56) (and @t47 @t56))))) % 0.60/0.81 (assume @p15 (forall @t61 (= @t41 (exists @t50 (and @t57 @t46))))) % 0.60/0.81 (assume @p16 @t64) % 0.60/0.81 (assume @p17 @t74) % 0.60/0.81 (assume @p18 (forall (@list @t1 @t68 @t65) (=> (and @t71 (tptp.holdsAt @t66 @t1)) (= @t68 @t65)))) % 0.60/0.81 (assume @p19 (not (= tptp.tapOff tptp.tapOn))) % 0.60/0.81 (assume @p20 (not (= tptp.tapOff tptp.overflow))) % 0.60/0.81 (assume @p21 (not (= tptp.overflow tptp.tapOn))) % 0.60/0.81 (assume @p22 (forall @t77 (not (= tptp.filling @t76)))) % 0.60/0.81 (assume @p23 (forall @t77 (not (= tptp.spilling @t76)))) % 0.60/0.81 (assume @p24 (not @t78)) % 0.60/0.81 (assume @p25 (forall @t81 (= (= @t76 (tptp.waterLevel @t79)) @t80))) % 0.60/0.81 (assume @p26 (= @t82 tptp.n0)) % 0.60/0.81 (assume @p27 (= @t83 tptp.n1)) % 0.60/0.81 (assume @p28 (= (tptp.plus tptp.n0 tptp.n2) tptp.n2)) % 0.60/0.81 (assume @p29 (= (tptp.plus tptp.n0 tptp.n3) tptp.n3)) % 0.60/0.81 (assume @p30 (= (tptp.plus tptp.n1 tptp.n1) tptp.n2)) % 0.60/0.81 (assume @p31 (= (tptp.plus tptp.n1 tptp.n2) tptp.n3)) % 0.60/0.81 (assume @p32 (= (tptp.plus tptp.n1 tptp.n3) tptp.n4)) % 0.60/0.81 (assume @p33 (= (tptp.plus tptp.n2 tptp.n2) tptp.n4)) % 0.60/0.81 (assume @p34 (= (tptp.plus tptp.n2 tptp.n3) tptp.n5)) % 0.60/0.81 (assume @p35 (= (tptp.plus tptp.n3 tptp.n3) tptp.n6)) % 0.60/0.81 (assume @p36 (forall @t81 (= (tptp.plus @t75 @t79) (tptp.plus @t79 @t75)))) % 0.60/0.81 (assume @p37 @t85) % 0.60/0.81 (assume @p38 (not (exists @t77 (tptp.less @t75 tptp.n0)))) % 0.60/0.81 (assume @p39 @t86) % 0.60/0.81 (assume @p40 (forall @t77 (= (tptp.less @t75 tptp.n2) (tptp.less_or_equal @t75 tptp.n1)))) % 0.60/0.81 (assume @p41 (forall @t77 (= (tptp.less @t75 tptp.n3) (tptp.less_or_equal @t75 tptp.n2)))) % 0.60/0.81 (assume @p42 (forall @t77 (= (tptp.less @t75 tptp.n4) (tptp.less_or_equal @t75 tptp.n3)))) % 0.60/0.81 (assume @p43 (forall @t77 (= (tptp.less @t75 tptp.n5) (tptp.less_or_equal @t75 tptp.n4)))) % 0.60/0.81 (assume @p44 (forall @t77 (= (tptp.less @t75 tptp.n6) (tptp.less_or_equal @t75 tptp.n5)))) % 0.60/0.81 (assume @p45 (forall @t77 (= (tptp.less @t75 tptp.n7) (tptp.less_or_equal @t75 tptp.n6)))) % 0.60/0.81 (assume @p46 (forall @t77 (= (tptp.less @t75 tptp.n8) (tptp.less_or_equal @t75 tptp.n7)))) % 0.60/0.81 (assume @p47 (forall @t77 (= (tptp.less @t75 tptp.n9) (tptp.less_or_equal @t75 tptp.n8)))) % 0.60/0.81 (assume @p48 @t91) % 0.60/0.81 (assume @p49 (tptp.holdsAt (tptp.waterLevel tptp.n0) tptp.n0)) % 0.60/0.81 (assume @p50 (not @t92)) % 0.60/0.81 (assume @p51 (not (tptp.holdsAt tptp.spilling tptp.n0))) % 0.60/0.81 (assume @p52 (forall @t50 (not (tptp.releasedAt @t45 tptp.n0)))) % 0.60/0.81 (assume @p53 (not (tptp.releasedAt tptp.filling tptp.n0))) % 0.60/0.81 (assume @p54 (not (tptp.releasedAt tptp.spilling tptp.n0))) % 0.60/0.81 (assume @p55 (not (tptp.holdsAt (tptp.waterLevel tptp.n1) tptp.n1))) % 0.60/0.81 (assume @p56 true) % 0.60/0.81 (step @p57 :rule instantiate :premises (@p39) :args ((@list @t95))) % 0.60/0.81 (step @p58 :rule aci_norm :args ((= (or @t93 (or @t98 (or @t97 @t96))) (or @t93 @t98 @t97 @t96)))) % 0.60/0.81 (step @p59 :rule bool-and-de-morgan :args (@t6 @t4 true)) % 0.60/0.81 (step @p60 :rule refl :args (@t98)) % 0.60/0.81 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t98 (not (and @t6 @t4))))) % 0.60/0.81 (step @p62 :rule bool-and-de-morgan :args (@t8 @t6 (and @t4))) % 0.60/0.81 (step @p63 :rule trans :premises (@p62 @p61)) % 0.60/0.81 (step @p64 :rule refl :args (@t93)) % 0.60/0.81 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t93 (not (and @t8 @t6 @t4))))) % 0.60/0.81 (step @p66 :rule bool-and-de-morgan :args (@t9 @t8 (and @t6 @t4))) % 0.60/0.81 (step @p67 :rule trans :premises (@p66 @p65)) % 0.60/0.81 (step @p68 :rule trans :premises (@p67 @p58)) % 0.60/0.81 (step @p69 :rule cong :premises (@p68) :args (@t99)) % 0.60/0.81 (step @p70 :rule cong :premises (@p69) :args (@t100)) % 0.60/0.81 (step @p71 :rule exists-elim :args ((= @t12 @t100))) % 0.60/0.81 (step @p72 :rule trans :premises (@p71 @p70)) % 0.60/0.81 (step @p73 :rule refl :args (@t13)) % 0.60/0.81 (step @p74 :rule cong :premises (@p73 @p72) :args (@t14)) % 0.60/0.81 (step @p75 :rule cong :premises (@p74) :args (@t15)) % 0.60/0.81 (step @p76 :rule eq_resolve :premises (@p1 @p75)) % 0.60/0.81 (step @p77 :rule instantiate :premises (@p76) :args ((@list tptp.n0 tptp.filling @t83))) % 0.60/0.81 (step @p78 :rule aci_norm :args ((= (or (or @t93 @t103 @t102 @t101 @t21) @t20) (or @t93 @t103 @t102 @t101 @t21 @t20)))) % 0.60/0.81 (step @p79 :rule refl :args (@t20)) % 0.60/0.81 (step @p80 :rule bool-double-not-elim :args (@t21)) % 0.60/0.81 (step @p81 :rule refl :args (@t101)) % 0.60/0.81 (step @p82 :rule refl :args (@t102)) % 0.60/0.81 (step @p83 :rule refl :args (@t103)) % 0.60/0.81 (step @p84 :rule nary_cong :premises (@p64 @p83 @p82 @p81 @p80) :args (@t105)) % 0.60/0.81 (step @p85 :rule aci_norm :args ((= (or @t93 (or @t103 (or @t102 (or @t101 @t104)))) @t105))) % 0.60/0.81 (step @p86 :rule trans :premises (@p85 @p84)) % 0.60/0.81 (step @p87 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 0.60/0.81 (step @p88 :rule nary_cong :premises (@p82 @p87) :args ((or @t102 (not (and @t23 @t22))))) % 0.60/0.81 (step @p89 :rule bool-and-de-morgan :args (@t24 @t23 (and @t22))) % 0.60/0.81 (step @p90 :rule trans :premises (@p89 @p88)) % 0.60/0.81 (step @p91 :rule nary_cong :premises (@p83 @p90) :args ((or @t103 (not (and @t24 @t23 @t22))))) % 0.60/0.81 (step @p92 :rule bool-and-de-morgan :args (@t16 @t24 (and @t23 @t22))) % 0.60/0.81 (step @p93 :rule trans :premises (@p92 @p91)) % 0.60/0.81 (step @p94 :rule nary_cong :premises (@p64 @p93) :args ((or @t93 (not (and @t16 @t24 @t23 @t22))))) % 0.60/0.81 (step @p95 :rule bool-and-de-morgan :args (@t9 @t16 (and @t24 @t23 @t22))) % 0.60/0.81 (step @p96 :rule trans :premises (@p95 @p94)) % 0.60/0.81 (step @p97 :rule trans :premises (@p96 @p86)) % 0.60/0.81 (step @p98 :rule nary_cong :premises (@p97 @p79) :args ((or (not @t25) @t20))) % 0.60/0.81 (step @p99 :rule trans :premises (@p98 @p78)) % 0.60/0.81 (step @p100 :rule bool-impl-elim :args (@t25 @t20)) % 0.60/0.81 (step @p101 :rule trans :premises (@p100 @p99)) % 0.60/0.81 (step @p102 :rule cong :premises (@p101) :args (@t26)) % 0.60/0.81 (step @p103 :rule eq_resolve :premises (@p3 @p102)) % 0.60/0.81 (step @p104 :rule instantiate :premises (@p103) :args ((@list tptp.tapOn tptp.n0 tptp.filling @t107 tptp.n1))) % 0.60/0.81 (step @p105 :rule false_intro :premises (@p55)) % 0.60/0.81 (step @p106 :rule refl :args (tptp.n1)) % 0.60/0.81 (step @p107 :rule cong :premises (@p26 @p106) :args (@t106)) % 0.60/0.81 (step @p108 :rule trans :premises (@p107 @p27)) % 0.60/0.81 (step @p109 :rule cong :premises (@p108) :args (@t107)) % 0.60/0.81 (step @p110 :rule cong :premises (@p109 @p27) :args (@t108)) % 0.60/0.81 (step @p111 :rule trans :premises (@p110 @p105)) % 0.60/0.81 (step @p112 :rule false_elim :premises (@p111)) % 0.60/0.81 (step @p113 :rule eq-symm :args (@t109 @t110)) % 0.60/0.81 (step @p114 :rule refl :args (@t86)) % 0.60/0.81 (step @p115 :rule cong :premises (@p114 @p113) :args ((=> @t86 @t111))) % 0.60/0.81 (assume-push @p363 @t86) % 0.60/0.81 (step @p117 :rule instantiate :premises (@p39) :args ((@list tptp.n0))) % 0.60/0.81 (step-pop @p364 :rule scope :premises (@p117)) % 0.60/0.81 (step @p118 :rule process_scope :premises (@p364) :args (@t111)) % 0.60/0.81 (step @p120 :rule eq_resolve :premises (@p118 @p115)) % 0.60/0.81 (step @p121 :rule implies_elim :premises (@p120)) % 0.60/0.81 (step @p122 :rule chain_m_resolution :premises (@p121 @p39) :args (@t112 @t113 (@list @t86))) % 0.60/0.81 (step @p123 :rule bool-eq-true :args (@t110)) % 0.60/0.81 (step @p124 :rule absorb :args ((= (or @t114 true) true))) % 0.60/0.81 (step @p125 :rule eq-refl :args (tptp.n0)) % 0.60/0.81 (step @p126 :rule refl :args (@t114)) % 0.60/0.81 (step @p127 :rule nary_cong :premises (@p126 @p125) :args (@t116)) % 0.60/0.81 (step @p128 :rule trans :premises (@p127 @p124)) % 0.60/0.81 (step @p129 :rule refl :args (@t110)) % 0.60/0.81 (step @p130 :rule cong :premises (@p129 @p128) :args (@t117)) % 0.60/0.81 (step @p131 :rule trans :premises (@p130 @p123)) % 0.60/0.81 (step @p132 :rule refl :args (@t85)) % 0.60/0.81 (step @p133 :rule cong :premises (@p132 @p131) :args ((=> @t85 @t117))) % 0.60/0.81 (assume-push @p365 @t85) % 0.60/0.81 (step @p135 :rule instantiate :premises (@p37) :args ((@list tptp.n0 tptp.n0))) % 0.60/0.81 (step-pop @p366 :rule scope :premises (@p135)) % 0.60/0.81 (step @p136 :rule process_scope :premises (@p366) :args (@t117)) % 0.60/0.81 (step @p138 :rule eq_resolve :premises (@p136 @p133)) % 0.60/0.81 (step @p139 :rule implies_elim :premises (@p138)) % 0.60/0.81 (step @p140 :rule chain_m_resolution :premises (@p139 @p37) :args (@t110 @t113 @t118)) % 0.60/0.81 (step @p141 :rule cnf_equiv_pos1 :args (@t112)) % 0.60/0.81 (step @p142 :rule reordering :premises (@p141) :args ((or @t109 (not @t110) (not @t112)))) % 0.60/0.81 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p122) :args (@t109 @t119 (@list @t110 @t112))) % 0.60/0.81 (step @p144 :rule refl :args (@t124)) % 0.60/0.81 (step @p145 :rule bool-double-not-elim :args (@t47)) % 0.60/0.81 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((and (not @t125) @t124))) % 0.60/0.81 (step @p147 :rule bool-or-de-morgan :args (@t125 @t123 false)) % 0.60/0.81 (step @p148 :rule trans :premises (@p147 @p146)) % 0.60/0.81 (step @p149 :rule bool-double-not-elim :args (@t52)) % 0.60/0.81 (step @p150 :rule nary_cong :premises (@p149 @p144) :args ((and (not @t126) @t124))) % 0.60/0.81 (step @p151 :rule bool-or-de-morgan :args (@t126 @t123 false)) % 0.60/0.81 (step @p152 :rule trans :premises (@p151 @p150)) % 0.60/0.81 (step @p153 :rule refl :args (@t55)) % 0.60/0.81 (step @p154 :rule refl :args (@t58)) % 0.60/0.81 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152 @p148) :args (@t129)) % 0.60/0.81 (step @p156 :rule refl :args (@t16)) % 0.60/0.81 (step @p157 :rule cong :premises (@p156 @p155) :args (@t130)) % 0.60/0.81 (step @p158 :rule cong :premises (@p157) :args ((forall @t61 @t130))) % 0.60/0.81 (step @p159 :rule quant-miniscope-or :args ((= (forall @t50 @t131) @t127))) % 0.60/0.81 (step @p160 :rule aci_norm :args ((= @t132 @t131))) % 0.60/0.81 (step @p161 :rule cong :premises (@p160) :args ((forall @t50 @t132))) % 0.60/0.81 (step @p162 :rule trans :premises (@p161 @p159)) % 0.60/0.81 (step @p163 :rule aci_norm :args ((= (or @t121 (or @t125 @t120)) @t132))) % 0.60/0.81 (step @p164 :rule bool-and-de-morgan :args (@t47 @t46 true)) % 0.60/0.81 (step @p165 :rule refl :args (@t121)) % 0.60/0.81 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or @t121 (not (and @t47 @t46))))) % 0.60/0.81 (step @p167 :rule bool-and-de-morgan :args (@t48 @t47 (and @t46))) % 0.60/0.81 (step @p168 :rule trans :premises (@p167 @p166)) % 0.60/0.81 (step @p169 :rule trans :premises (@p168 @p163)) % 0.60/0.81 (step @p170 :rule cong :premises (@p169) :args (@t133)) % 0.60/0.81 (step @p171 :rule trans :premises (@p170 @p162)) % 0.60/0.81 (step @p172 :rule cong :premises (@p171) :args (@t134)) % 0.60/0.81 (step @p173 :rule exists-elim :args ((= @t51 @t134))) % 0.60/0.81 (step @p174 :rule trans :premises (@p173 @p172)) % 0.60/0.81 (step @p175 :rule quant-miniscope-or :args ((= (forall @t50 @t135) @t128))) % 0.60/0.81 (step @p176 :rule aci_norm :args ((= @t136 @t135))) % 0.60/0.81 (step @p177 :rule cong :premises (@p176) :args ((forall @t50 @t136))) % 0.60/0.81 (step @p178 :rule trans :premises (@p177 @p175)) % 0.60/0.81 (step @p179 :rule aci_norm :args ((= (or @t121 (or @t126 @t120)) @t136))) % 0.60/0.81 (step @p180 :rule bool-and-de-morgan :args (@t52 @t46 true)) % 0.60/0.81 (step @p181 :rule nary_cong :premises (@p165 @p180) :args ((or @t121 (not (and @t52 @t46))))) % 0.60/0.81 (step @p182 :rule bool-and-de-morgan :args (@t48 @t52 (and @t46))) % 0.60/0.81 (step @p183 :rule trans :premises (@p182 @p181)) % 0.60/0.81 (step @p184 :rule trans :premises (@p183 @p179)) % 0.60/0.81 (step @p185 :rule cong :premises (@p184) :args (@t137)) % 0.60/0.81 (step @p186 :rule trans :premises (@p185 @p178)) % 0.60/0.81 (step @p187 :rule cong :premises (@p186) :args (@t138)) % 0.60/0.81 (step @p188 :rule exists-elim :args ((= @t54 @t138))) % 0.60/0.81 (step @p189 :rule trans :premises (@p188 @p187)) % 0.60/0.81 (step @p190 :rule refl :args (@t55)) % 0.60/0.81 (step @p191 :rule refl :args (@t58)) % 0.60/0.81 (step @p192 :rule nary_cong :premises (@p191 @p190 @p189 @p174) :args (@t59)) % 0.60/0.81 (step @p193 :rule refl :args (@t16)) % 0.60/0.81 (step @p194 :rule cong :premises (@p193 @p192) :args (@t60)) % 0.60/0.81 (step @p195 :rule cong :premises (@p194) :args (@t62)) % 0.60/0.81 (step @p196 :rule trans :premises (@p195 @p158)) % 0.60/0.81 (step @p197 :rule eq_resolve :premises (@p13 @p196)) % 0.60/0.81 (step @p198 :rule bool-eq-true :args (@t139)) % 0.60/0.81 (step @p199 :rule absorb :args ((= (or true @t144 @t143 @t142) true))) % 0.60/0.81 (step @p200 :rule refl :args (@t142)) % 0.60/0.81 (step @p201 :rule refl :args (@t143)) % 0.60/0.81 (step @p202 :rule refl :args (@t144)) % 0.60/0.81 (step @p203 :rule evaluate :args ((and true true))) % 0.60/0.81 (step @p204 :rule eq-refl :args (tptp.filling)) % 0.60/0.81 (step @p205 :rule eq-refl :args (tptp.tapOn)) % 0.60/0.81 (step @p206 :rule nary_cong :premises (@p205 @p204) :args (@t146)) % 0.60/0.81 (step @p207 :rule trans :premises (@p206 @p203)) % 0.60/0.81 (step @p208 :rule nary_cong :premises (@p207 @p202 @p201 @p200) :args (@t147)) % 0.60/0.81 (step @p209 :rule trans :premises (@p208 @p199)) % 0.60/0.81 (step @p210 :rule refl :args (@t139)) % 0.60/0.81 (step @p211 :rule cong :premises (@p210 @p209) :args (@t148)) % 0.60/0.81 (step @p212 :rule trans :premises (@p211 @p198)) % 0.60/0.81 (step @p213 :rule refl :args (@t149)) % 0.60/0.81 (step @p214 :rule cong :premises (@p213 @p212) :args ((=> @t149 @t148))) % 0.60/0.81 (assume-push @p367 @t149) % 0.60/0.81 (step @p216 :rule instantiate :premises (@p197) :args ((@list tptp.tapOn tptp.filling tptp.n0))) % 0.60/0.81 (step-pop @p368 :rule scope :premises (@p216)) % 0.60/0.81 (step @p217 :rule process_scope :premises (@p368) :args (@t148)) % 0.60/0.81 (step @p219 :rule eq_resolve :premises (@p217 @p214)) % 0.60/0.81 (step @p220 :rule implies_elim :premises (@p219)) % 0.60/0.81 (step @p221 :rule chain_m_resolution :premises (@p220 @p197) :args (@t139 @t113 (@list @t149))) % 0.60/0.81 (step @p222 :rule bool-eq-true :args (@t150)) % 0.60/0.81 (step @p223 :rule absorb :args ((= (or true @t151) true))) % 0.60/0.81 (step @p224 :rule refl :args (@t151)) % 0.60/0.81 (step @p225 :rule nary_cong :premises (@p205 @p125) :args (@t152)) % 0.60/0.81 (step @p226 :rule trans :premises (@p225 @p203)) % 0.60/0.81 (step @p227 :rule nary_cong :premises (@p226 @p224) :args (@t153)) % 0.60/0.81 (step @p228 :rule trans :premises (@p227 @p223)) % 0.60/0.81 (step @p229 :rule refl :args (@t150)) % 0.60/0.81 (step @p230 :rule cong :premises (@p229 @p228) :args (@t154)) % 0.60/0.81 (step @p231 :rule trans :premises (@p230 @p222)) % 0.60/0.81 (step @p232 :rule refl :args (@t64)) % 0.60/0.81 (step @p233 :rule cong :premises (@p232 @p231) :args ((=> @t64 @t154))) % 0.60/0.81 (assume-push @p369 @t64) % 0.60/0.81 (step @p235 :rule instantiate :premises (@p16) :args ((@list tptp.tapOn tptp.n0))) % 0.60/0.81 (step-pop @p370 :rule scope :premises (@p235)) % 0.60/0.81 (step @p236 :rule process_scope :premises (@p370) :args (@t154)) % 0.60/0.81 (step @p238 :rule eq_resolve :premises (@p236 @p233)) % 0.60/0.81 (step @p239 :rule implies_elim :premises (@p238)) % 0.60/0.81 (step @p240 :rule chain_m_resolution :premises (@p239 @p16) :args (@t150 @t113 (@list @t64))) % 0.60/0.81 (step @p241 :rule aci_norm :args ((= (or @t156 false @t155) (or @t156 @t155)))) % 0.60/0.81 (step @p242 :rule refl :args (@t155)) % 0.60/0.81 (step @p243 :rule evaluate :args ((not true))) % 0.60/0.81 (step @p244 :rule eq-refl :args (@t69)) % 0.60/0.81 (step @p245 :rule cong :premises (@p244) :args (@t157)) % 0.60/0.81 (step @p246 :rule trans :premises (@p245 @p243)) % 0.60/0.81 (step @p247 :rule refl :args (@t156)) % 0.60/0.81 (step @p248 :rule nary_cong :premises (@p247 @p246 @p242) :args (@t158)) % 0.60/0.81 (step @p249 :rule trans :premises (@p248 @p241)) % 0.60/0.81 (step @p250 :rule cong :premises (@p249) :args ((forall @t159 @t158))) % 0.60/0.81 (step @p251 :rule quant-var-elim-eq :args ((= (forall @t162 @t161) @t158))) % 0.60/0.81 (step @p252 :rule aci_norm :args ((= @t163 @t161))) % 0.60/0.81 (step @p253 :rule cong :premises (@p252) :args (@t164)) % 0.60/0.81 (step @p254 :rule trans :premises (@p253 @p251)) % 0.60/0.81 (step @p255 :rule cong :premises (@p254) :args (@t165)) % 0.60/0.81 (step @p256 :rule quant-merge-prenex :args ((= @t165 @t166))) % 0.60/0.81 (step @p257 :rule 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tptp.n0 tptp.n1))) % 0.60/0.81 (step @p272 :rule true_intro :premises (@p49)) % 0.60/0.81 (step @p273 :rule refl :args (tptp.n0)) % 0.60/0.81 (step @p274 :rule cong :premises (@p26) :args (@t167)) % 0.60/0.81 (step @p275 :rule cong :premises (@p274 @p273) :args (@t168)) % 0.60/0.81 (step @p276 :rule trans :premises (@p275 @p272)) % 0.60/0.81 (step @p277 :rule true_elim :premises (@p276)) % 0.60/0.81 (step @p278 :rule cnf_or_pos :args (@t171)) % 0.60/0.81 (step @p279 :rule reordering :premises (@p278) :args ((or @t170 @t169 (not @t171)))) % 0.60/0.81 (step @p280 :rule chain_m_resolution :premises (@p279 @p277 @p271) :args (@t169 @t119 (@list @t168 @t171))) % 0.60/0.81 (step @p281 :rule cnf_or_pos :args (@t177)) % 0.60/0.81 (step @p282 :rule reordering :premises (@p281) :args ((or @t173 @t176 @t175 @t174 @t172 @t108 (not @t177)))) % 0.60/0.81 (step @p283 :rule chain_m_resolution :premises (@p282 @p280 @p240 @p221 @p143 @p112 @p104) :args (@t172 (@list false false false false true false) 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(step @p311 :rule eq_resolve :premises (@p48 @p310)) % 0.60/0.81 (step @p312 :rule eq-symm :args (@t95 tptp.n0)) % 0.60/0.81 (step @p313 :rule cong :premises (@p312) :args (@t192)) % 0.60/0.81 (step @p314 :rule refl :args (@t184)) % 0.60/0.81 (step @p315 :rule nary_cong :premises (@p314 @p313) :args (@t193)) % 0.60/0.81 (step @p316 :rule refl :args (@t194)) % 0.60/0.81 (step @p317 :rule cong :premises (@p316 @p315) :args (@t195)) % 0.60/0.81 (step @p318 :rule refl :args (@t196)) % 0.60/0.81 (step @p319 :rule cong :premises (@p318 @p317) :args ((=> @t196 @t195))) % 0.60/0.81 (assume-push @p371 @t196) % 0.60/0.81 (step @p321 :rule instantiate :premises (@p311) :args (@t197)) % 0.60/0.81 (step-pop @p372 :rule scope :premises (@p321)) % 0.60/0.81 (step @p322 :rule process_scope :premises (@p372) :args (@t195)) % 0.60/0.81 (step @p324 :rule eq_resolve :premises (@p322 @p319)) % 0.60/0.81 (step @p325 :rule implies_elim :premises (@p324)) % 0.60/0.81 (step @p326 :rule chain_m_resolution 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(@p337 @p335 @p326) :args (@t203 (@list true false) (@list @t200 @t201))) % 0.60/0.81 (step @p339 :rule instantiate :premises (@p311) :args ((@list tptp.n0 @t95))) % 0.60/0.81 (step @p340 :rule cnf_equiv_pos1 :args (@t205)) % 0.60/0.81 (step @p341 :rule reordering :premises (@p340) :args ((or @t184 @t204 (not @t205)))) % 0.60/0.81 (step @p342 :rule chain_m_resolution :premises (@p341 @p332 @p339) :args (@t204 @t119 (@list @t183 @t205))) % 0.60/0.81 (step @p343 :rule cnf_and_pos :args (@t204 1)) % 0.60/0.81 (step @p344 :rule reordering :premises (@p343) :args ((or @t199 (not @t204)))) % 0.60/0.81 (step @p345 :rule chain_m_resolution :premises (@p344 @p342) :args (@t199 @t113 (@list @t204))) % 0.60/0.81 (step @p346 :rule cnf_or_pos :args (@t206)) % 0.60/0.81 (step @p347 :rule reordering :premises (@p346) :args ((or @t198 @t194 @t207))) % 0.60/0.81 (step @p348 :rule chain_m_resolution :premises (@p347 @p345 @p338) :args (@t207 (@list true true) (@list @t198 @t194))) % 0.60/0.81 (step @p349 :rule nary_cong :premises (@p316 @p312) :args (@t208)) % 0.60/0.81 (step @p350 :rule refl :args (@t189)) % 0.60/0.81 (step @p351 :rule cong :premises (@p350 @p349) :args (@t209)) % 0.60/0.81 (step @p352 :rule cong :premises (@p132 @p351) :args ((=> @t85 @t209))) % 0.60/0.81 (assume-push @p373 @t85) % 0.60/0.81 (step @p354 :rule instantiate :premises (@p37) :args (@t197)) % 0.60/0.81 (step-pop @p374 :rule scope :premises (@p354)) % 0.60/0.81 (step @p355 :rule process_scope :premises (@p374) :args (@t209)) % 0.60/0.81 (step @p357 :rule eq_resolve :premises (@p355 @p352)) % 0.60/0.81 (step @p358 :rule implies_elim :premises (@p357)) % 0.60/0.81 (step @p359 :rule chain_m_resolution :premises (@p358 @p37) :args (@t210 @t113 @t118)) % 0.60/0.81 (step @p360 :rule cnf_equiv_pos1 :args (@t210)) % 0.60/0.81 (step @p361 :rule reordering :premises (@p360) :args ((or (not @t189) @t206 (not @t210)))) % 0.60/0.81 (step @p362 false :rule chain_m_resolution :premises (@p361 @p359 @p348 @p303) :args (false (@list false true false) (@list @t210 @t206 @t189))) % 0.60/0.81 ) % 0.60/0.81 % SZS output end Proof % 0.60/0.81 % cvc5 exiting %------------------------------------------------------------------------------