%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR020+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 : n011.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 08:11:12 AM UTC 2026 % Result : Theorem 0.38s 0.62s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR020+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 % 0.18/0.34 % Computer : n011.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Mon Jun 1 20:36:50 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.62 % SZS status Theorem % 0.38/0.62 % SZS output start Proof % 0.38/0.62 ( % 0.38/0.62 (declare-sort $$unsorted 0) % 0.38/0.62 (declare-const tptp.n3 $$unsorted) % 0.38/0.62 (declare-const tptp.n7 $$unsorted) % 0.38/0.62 (declare-const tptp.forwards $$unsorted) % 0.38/0.62 (declare-const tptp.n2 $$unsorted) % 0.38/0.62 (declare-const tptp.backwards $$unsorted) % 0.38/0.62 (declare-const tptp.pull $$unsorted) % 0.38/0.62 (declare-const tptp.spinning $$unsorted) % 0.38/0.62 (declare-const tptp.push $$unsorted) % 0.38/0.62 (declare-const tptp.terminates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.initiates (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.antitrajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.n6 $$unsorted) % 0.38/0.62 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.startedIn (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.happens (-> $$unsorted $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.n9 $$unsorted) % 0.38/0.63 (declare-const tptp.n5 $$unsorted) % 0.38/0.63 (declare-const tptp.releases (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.holdsAt (-> $$unsorted $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.stoppedIn (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.trajectory (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.63 (declare-const tptp.n8 $$unsorted) % 0.38/0.63 (declare-const tptp.n4 $$unsorted) % 0.38/0.63 (declare-const tptp.n0 $$unsorted) % 0.38/0.63 (declare-const tptp.n1 $$unsorted) % 0.38/0.63 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.63 (declare-const tptp.releasedAt (-> $$unsorted $$unsorted Bool)) % 0.38/0.63 (define @t1 () (@var "Time" $$unsorted)) % 0.38/0.63 (define @t2 () (@var "Fluent" $$unsorted)) % 0.38/0.63 (define @t3 () (@var "Event" $$unsorted)) % 0.38/0.63 (define @t4 () (tptp.terminates @t3 @t2 @t1)) % 0.38/0.63 (define @t5 () (@var "Time2" $$unsorted)) % 0.38/0.63 (define @t6 () (tptp.less @t1 @t5)) % 0.38/0.63 (define @t7 () (@var "Time1" $$unsorted)) % 0.38/0.63 (define @t8 () (tptp.less @t7 @t1)) % 0.38/0.63 (define @t9 () (tptp.happens @t3 @t1)) % 0.38/0.63 (define @t10 () (@list @t3 @t1)) % 0.38/0.63 (define @t11 () (tptp.initiates @t3 @t2 @t1)) % 0.38/0.63 (define @t12 () (@var "Offset" $$unsorted)) % 0.38/0.63 (define @t13 () (tptp.plus @t1 @t12)) % 0.38/0.63 (define @t14 () (@var "Fluent2" $$unsorted)) % 0.38/0.63 (define @t15 () (tptp.plus @t7 @t5)) % 0.38/0.63 (define @t16 () (@var "Fluent1" $$unsorted)) % 0.38/0.63 (define @t17 () (tptp.plus @t1 tptp.n1)) % 0.38/0.63 (define @t18 () (tptp.holdsAt @t2 @t17)) % 0.38/0.63 (define @t19 () (and @t9 @t4)) % 0.38/0.63 (define @t20 () (@list @t3)) % 0.38/0.63 (define @t21 () (tptp.releasedAt @t2 @t17)) % 0.38/0.63 (define @t22 () (not @t21)) % 0.38/0.63 (define @t23 () (tptp.holdsAt @t2 @t1)) % 0.38/0.63 (define @t24 () (@list @t2 @t1)) % 0.38/0.63 (define @t25 () (not @t18)) % 0.38/0.63 (define @t26 () (and @t9 @t11)) % 0.38/0.63 (define @t27 () (exists @t20 @t26)) % 0.38/0.63 (define @t28 () (not @t27)) % 0.38/0.63 (define @t29 () (not @t23)) % 0.38/0.63 (define @t30 () (and @t29 @t22 @t28)) % 0.38/0.63 (define @t31 () (=> @t30 @t25)) % 0.38/0.63 (define @t32 () (forall @t24 @t31)) % 0.38/0.63 (define @t33 () (or @t11 @t4)) % 0.38/0.63 (define @t34 () (and @t9 @t33)) % 0.38/0.63 (define @t35 () (exists @t20 @t34)) % 0.38/0.63 (define @t36 () (not @t35)) % 0.38/0.63 (define @t37 () (tptp.releasedAt @t2 @t1)) % 0.38/0.63 (define @t38 () (and @t37 @t36)) % 0.38/0.63 (define @t39 () (=> @t38 @t21)) % 0.38/0.63 (define @t40 () (forall @t24 @t39)) % 0.38/0.63 (define @t41 () (tptp.releases @t3 @t2 @t1)) % 0.38/0.63 (define @t42 () (and @t9 @t41)) % 0.38/0.63 (define @t43 () (not @t37)) % 0.38/0.63 (define @t44 () (@list @t3 @t1 @t2)) % 0.38/0.63 (define @t45 () (forall @t44 (=> @t19 @t25))) % 0.38/0.63 (define @t46 () (tptp.happens tptp.push @t1)) % 0.38/0.63 (define @t47 () (= @t2 tptp.spinning)) % 0.38/0.63 (define @t48 () (= @t3 tptp.pull)) % 0.38/0.63 (define @t49 () (not @t46)) % 0.38/0.63 (define @t50 () (= @t2 tptp.backwards)) % 0.38/0.63 (define @t51 () (not (tptp.happens tptp.pull @t1))) % 0.38/0.63 (define @t52 () (= @t2 tptp.forwards)) % 0.38/0.63 (define @t53 () (= @t3 tptp.push)) % 0.38/0.63 (define @t54 () (@list @t3 @t2 @t1)) % 0.38/0.63 (define @t55 () (forall @t54 (= @t11 (or (and @t53 @t52 @t51) (and @t48 @t50 @t49) (and @t48 @t47 @t46))))) % 0.38/0.63 (define @t56 () (= @t1 tptp.n2)) % 0.38/0.63 (define @t57 () (forall @t10 (= @t9 (or (and @t53 (= @t1 tptp.n0)) (and @t48 (= @t1 tptp.n1)) (and @t48 @t56) (and @t53 @t56))))) % 0.38/0.63 (define @t58 () (= tptp.push tptp.pull)) % 0.38/0.63 (define @t59 () (not @t58)) % 0.38/0.63 (define @t60 () (= tptp.forwards tptp.spinning)) % 0.38/0.63 (define @t61 () (= tptp.spinning tptp.backwards)) % 0.38/0.63 (define @t62 () (tptp.plus tptp.n0 tptp.n1)) % 0.38/0.63 (define @t63 () (tptp.plus tptp.n1 tptp.n1)) % 0.38/0.63 (define @t64 () (@var "X" $$unsorted)) % 0.38/0.63 (define @t65 () (@var "Y" $$unsorted)) % 0.38/0.63 (define @t66 () (@list @t64 @t65)) % 0.38/0.63 (define @t67 () (tptp.less @t64 @t65)) % 0.38/0.63 (define @t68 () (@list @t64)) % 0.38/0.63 (define @t69 () (tptp.holdsAt tptp.spinning tptp.n0)) % 0.38/0.63 (define @t70 () (not @t69)) % 0.38/0.63 (define @t71 () (tptp.holdsAt tptp.spinning tptp.n2)) % 0.38/0.63 (define @t72 () (not @t71)) % 0.38/0.63 (define @t73 () (tptp.happens tptp.push tptp.n0)) % 0.38/0.63 (define @t74 () (forall @t20 (or (not (tptp.happens @t3 tptp.n0)) (not (tptp.initiates @t3 tptp.spinning tptp.n0))))) % 0.38/0.63 (define @t75 () (@quantifiers_skolemize @t74 0)) % 0.38/0.63 (define @t76 () (= tptp.pull @t75)) % 0.38/0.63 (define @t77 () (and @t76 @t73)) % 0.38/0.63 (define @t78 () (= tptp.spinning tptp.spinning)) % 0.38/0.63 (define @t79 () (= @t75 tptp.pull)) % 0.38/0.63 (define @t80 () (and @t79 @t78 @t73)) % 0.38/0.63 (define @t81 () (not @t73)) % 0.38/0.63 (define @t82 () (and @t79 @t61 @t81)) % 0.38/0.63 (define @t83 () (not (tptp.happens tptp.pull tptp.n0))) % 0.38/0.63 (define @t84 () (= tptp.spinning tptp.forwards)) % 0.38/0.63 (define @t85 () (= @t75 tptp.push)) % 0.38/0.63 (define @t86 () (and @t85 @t84 @t83)) % 0.38/0.63 (define @t87 () (or @t86 @t82 @t80)) % 0.38/0.63 (define @t88 () (tptp.initiates @t75 tptp.spinning tptp.n0)) % 0.38/0.63 (define @t89 () (= @t88 @t87)) % 0.38/0.63 (define @t90 () (= tptp.backwards tptp.spinning)) % 0.38/0.63 (define @t91 () (and @t76 @t90 @t81)) % 0.38/0.63 (define @t92 () (= tptp.push @t75)) % 0.38/0.63 (define @t93 () (and @t92 @t60 @t83)) % 0.38/0.63 (define @t94 () (or @t93 @t91 @t77)) % 0.38/0.63 (define @t95 () (= @t88 @t94)) % 0.38/0.63 (define @t96 () (@list false)) % 0.38/0.63 (define @t97 () (@list @t55)) % 0.38/0.63 (define @t98 () (not @t11)) % 0.38/0.63 (define @t99 () (not @t9)) % 0.38/0.63 (define @t100 () (forall @t20 (or @t99 @t98))) % 0.38/0.63 (define @t101 () (not @t100)) % 0.38/0.63 (define @t102 () (not @t22)) % 0.38/0.63 (define @t103 () (not @t29)) % 0.38/0.63 (define @t104 () (or @t103 @t102 @t101)) % 0.38/0.63 (define @t105 () (and @t29 @t22 @t100)) % 0.38/0.63 (define @t106 () (forall @t20 (not @t26))) % 0.38/0.63 (define @t107 () (not @t106)) % 0.38/0.63 (define @t108 () (tptp.holdsAt tptp.spinning @t63)) % 0.38/0.63 (define @t109 () (@list tptp.spinning tptp.n1)) % 0.38/0.63 (define @t110 () (not @t108)) % 0.38/0.63 (define @t111 () (not (tptp.initiates @t3 tptp.spinning tptp.n1))) % 0.38/0.63 (define @t112 () (not (tptp.happens @t3 tptp.n1))) % 0.38/0.63 (define @t113 () (forall @t20 (or @t112 @t111))) % 0.38/0.63 (define @t114 () (not @t113)) % 0.38/0.63 (define @t115 () (tptp.releasedAt tptp.spinning @t63)) % 0.38/0.63 (define @t116 () (tptp.holdsAt tptp.spinning tptp.n1)) % 0.38/0.63 (define @t117 () (or @t116 @t115 @t114 @t110)) % 0.38/0.63 (define @t118 () (@quantifiers_skolemize @t113 0)) % 0.38/0.63 (define @t119 () (tptp.initiates @t118 tptp.spinning tptp.n1)) % 0.38/0.63 (define @t120 () (not @t119)) % 0.38/0.63 (define @t121 () (or (not (tptp.happens @t118 tptp.n1)) @t120)) % 0.38/0.63 (define @t122 () (not @t121)) % 0.38/0.63 (define @t123 () (tptp.happens tptp.push tptp.n1)) % 0.38/0.63 (define @t124 () (= tptp.pull @t118)) % 0.38/0.63 (define @t125 () (and @t124 @t123)) % 0.38/0.63 (define @t126 () (= @t118 tptp.pull)) % 0.38/0.63 (define @t127 () (and @t126 @t78 @t123)) % 0.38/0.63 (define @t128 () (not @t123)) % 0.38/0.63 (define @t129 () (and @t126 @t61 @t128)) % 0.38/0.63 (define @t130 () (tptp.happens tptp.pull tptp.n1)) % 0.38/0.63 (define @t131 () (not @t130)) % 0.38/0.63 (define @t132 () (and (= @t118 tptp.push) @t84 @t131)) % 0.38/0.63 (define @t133 () (or @t132 @t129 @t127)) % 0.38/0.63 (define @t134 () (= @t119 @t133)) % 0.38/0.63 (define @t135 () (and @t124 @t90 @t128)) % 0.38/0.63 (define @t136 () (and (= tptp.push @t118) @t60 @t131)) % 0.38/0.63 (define @t137 () (or @t136 @t135 @t125)) % 0.38/0.63 (define @t138 () (= @t119 @t137)) % 0.38/0.63 (define @t139 () (not @t135)) % 0.38/0.63 (define @t140 () (@list true)) % 0.38/0.63 (define @t141 () (@list @t90)) % 0.38/0.63 (define @t142 () (not @t136)) % 0.38/0.63 (define @t143 () (@list @t60)) % 0.38/0.63 (define @t144 () (= tptp.n1 tptp.n2)) % 0.38/0.63 (define @t145 () (= tptp.push tptp.push)) % 0.38/0.63 (define @t146 () (and @t145 @t144)) % 0.38/0.63 (define @t147 () (and @t58 @t144)) % 0.38/0.63 (define @t148 () (= tptp.n1 tptp.n1)) % 0.38/0.63 (define @t149 () (and @t58 @t148)) % 0.38/0.63 (define @t150 () (= tptp.n0 tptp.n1)) % 0.38/0.63 (define @t151 () (= tptp.n1 tptp.n0)) % 0.38/0.63 (define @t152 () (and @t145 @t151)) % 0.38/0.63 (define @t153 () (or @t152 @t149 @t147 @t146)) % 0.38/0.63 (define @t154 () (= @t123 @t153)) % 0.38/0.63 (define @t155 () (or @t150 @t58 @t147 @t144)) % 0.38/0.63 (define @t156 () (= @t123 @t155)) % 0.38/0.63 (define @t157 () (@list @t57)) % 0.38/0.63 (define @t158 () (not @t147)) % 0.38/0.63 (define @t159 () (not @t155)) % 0.38/0.63 (define @t160 () (= tptp.n1 @t62)) % 0.38/0.63 (define @t161 () (= tptp.n2 @t63)) % 0.38/0.63 (define @t162 () (tptp.plus tptp.n1 tptp.n0)) % 0.38/0.63 (define @t163 () (= @t62 @t162)) % 0.38/0.63 (define @t164 () (and @t160 @t161 @t163 @t150)) % 0.38/0.63 (define @t165 () (not @t150)) % 0.38/0.63 (define @t166 () (not @t161)) % 0.38/0.63 (define @t167 () (not @t160)) % 0.38/0.63 (define @t168 () (not @t144)) % 0.38/0.63 (define @t169 () (not @t116)) % 0.38/0.63 (define @t170 () (= false true)) % 0.38/0.63 (define @t171 () (and @t71 @t144 @t169)) % 0.38/0.63 (define @t172 () (tptp.holdsAt tptp.spinning @t62)) % 0.38/0.63 (define @t173 () (and @t160 @t116)) % 0.38/0.63 (define @t174 () (@list false false)) % 0.38/0.63 (define @t175 () (not @t4)) % 0.38/0.63 (define @t176 () (forall @t20 (or @t99 (and @t98 @t175)))) % 0.38/0.63 (define @t177 () (not @t176)) % 0.38/0.63 (define @t178 () (and @t37 @t176)) % 0.38/0.63 (define @t179 () (forall @t20 (not @t34))) % 0.38/0.63 (define @t180 () (not @t179)) % 0.38/0.63 (define @t181 () (forall @t20 (or @t112 (and @t111 (not (tptp.terminates @t3 tptp.spinning tptp.n1)))))) % 0.38/0.63 (define @t182 () (@quantifiers_skolemize @t181 0)) % 0.38/0.63 (define @t183 () (tptp.happens @t182 tptp.n1)) % 0.38/0.63 (define @t184 () (tptp.terminates @t182 tptp.spinning tptp.n1)) % 0.38/0.63 (define @t185 () (not @t184)) % 0.38/0.63 (define @t186 () (tptp.initiates @t182 tptp.spinning tptp.n1)) % 0.38/0.63 (define @t187 () (not @t186)) % 0.38/0.63 (define @t188 () (and @t187 @t185)) % 0.38/0.63 (define @t189 () (not @t183)) % 0.38/0.63 (define @t190 () (or @t189 @t188)) % 0.38/0.63 (define @t191 () (= @t182 tptp.push)) % 0.38/0.63 (define @t192 () (and @t191 @t144)) % 0.38/0.63 (define @t193 () (= @t182 tptp.pull)) % 0.38/0.63 (define @t194 () (and @t193 @t144)) % 0.38/0.63 (define @t195 () (= tptp.pull @t182)) % 0.38/0.63 (define @t196 () (and @t193 @t148)) % 0.38/0.63 (define @t197 () (and @t191 @t151)) % 0.38/0.63 (define @t198 () (or @t197 @t196 @t194 @t192)) % 0.38/0.63 (define @t199 () (= @t183 @t198)) % 0.38/0.63 (define @t200 () (= tptp.push @t182)) % 0.38/0.63 (define @t201 () (and @t200 @t144)) % 0.38/0.63 (define @t202 () (and @t195 @t144)) % 0.38/0.63 (define @t203 () (and @t200 @t150)) % 0.38/0.63 (define @t204 () (or @t203 @t195 @t202 @t201)) % 0.38/0.63 (define @t205 () (= @t183 @t204)) % 0.38/0.63 (define @t206 () (and @t195 @t123)) % 0.38/0.63 (define @t207 () (and @t193 @t78 @t123)) % 0.38/0.63 (define @t208 () (and @t193 @t61 @t128)) % 0.38/0.63 (define @t209 () (and @t191 @t84 @t131)) % 0.38/0.63 (define @t210 () (or @t209 @t208 @t207)) % 0.38/0.63 (define @t211 () (= @t186 @t210)) % 0.38/0.63 (define @t212 () (and @t195 @t90 @t128)) % 0.38/0.63 (define @t213 () (and @t200 @t60 @t131)) % 0.38/0.63 (define @t214 () (or @t213 @t212 @t206)) % 0.38/0.63 (define @t215 () (= @t186 @t214)) % 0.38/0.63 (define @t216 () (not @t70)) % 0.38/0.63 (define @t217 () (and @t71 @t144 @t150 @t70)) % 0.38/0.63 (define @t218 () (and @t76 @t150)) % 0.38/0.63 (define @t219 () (not @t218)) % 0.38/0.63 (define @t220 () (= tptp.n0 tptp.n2)) % 0.38/0.63 (define @t221 () (not @t220)) % 0.38/0.63 (define @t222 () (and @t144 @t165)) % 0.38/0.63 (define @t223 () (tptp.releasedAt tptp.spinning @t62)) % 0.38/0.63 (define @t224 () (not @t223)) % 0.38/0.63 (define @t225 () (not @t115)) % 0.38/0.63 (define @t226 () (tptp.releasedAt tptp.spinning tptp.n1)) % 0.38/0.63 (define @t227 () (and @t160 @t161 @t225 @t144)) % 0.38/0.63 (define @t228 () (and @t76 @t220)) % 0.38/0.63 (define @t229 () (not @t228)) % 0.38/0.63 (define @t230 () (and @t92 @t220)) % 0.38/0.63 (define @t231 () (not @t230)) % 0.38/0.63 (define @t232 () (not @t172)) % 0.38/0.63 (define @t233 () (not @t74)) % 0.38/0.63 (define @t234 () (or @t69 @t223 @t233 @t232)) % 0.38/0.63 (define @t235 () (not @t88)) % 0.38/0.63 (define @t236 () (tptp.happens @t75 tptp.n0)) % 0.38/0.63 (define @t237 () (not @t236)) % 0.38/0.63 (define @t238 () (or @t237 @t235)) % 0.38/0.63 (define @t239 () (not @t238)) % 0.38/0.63 (define @t240 () (and @t85 @t220)) % 0.38/0.63 (define @t241 () (and @t79 @t220)) % 0.38/0.63 (define @t242 () (and @t79 @t150)) % 0.38/0.63 (define @t243 () (and @t85 (= tptp.n0 tptp.n0))) % 0.38/0.63 (define @t244 () (or @t243 @t242 @t241 @t240)) % 0.38/0.63 (define @t245 () (= @t236 @t244)) % 0.38/0.63 (define @t246 () (or @t92 @t218 @t228 @t230)) % 0.38/0.63 (define @t247 () (= @t236 @t246)) % 0.38/0.63 (define @t248 () (not @t91)) % 0.38/0.63 (define @t249 () (not @t93)) % 0.38/0.63 (define @t250 () (not @t76)) % 0.38/0.63 (define @t251 () (not @t92)) % 0.38/0.63 (define @t252 () (and @t92 @t76 @t59)) % 0.38/0.63 (define @t253 () (@list @t144)) % 0.38/0.63 (define @t254 () (@list true false)) % 0.38/0.63 (define @t255 () (not @t206)) % 0.38/0.63 (define @t256 () (not @t212)) % 0.38/0.63 (define @t257 () (not @t213)) % 0.38/0.63 (define @t258 () (not @t214)) % 0.38/0.63 (define @t259 () (not @t203)) % 0.38/0.63 (define @t260 () (@list @t150)) % 0.38/0.63 (define @t261 () (not @t201)) % 0.38/0.63 (define @t262 () (not @t202)) % 0.38/0.63 (define @t263 () (and @t183 @t195)) % 0.38/0.63 (define @t264 () (tptp.terminates tptp.pull tptp.spinning tptp.n1)) % 0.38/0.63 (define @t265 () (and @t184 @t195)) % 0.38/0.63 (define @t266 () (not @t264)) % 0.38/0.63 (define @t267 () (or @t131 @t266 @t110)) % 0.38/0.63 (define @t268 () (not @t190)) % 0.38/0.63 (define @t269 () (not @t181)) % 0.38/0.63 (define @t270 () (not @t226)) % 0.38/0.63 (define @t271 () (or @t270 @t269 @t115)) % 0.38/0.63 (define @t272 () (and @t160 @t270)) % 0.38/0.63 (define @t273 () (@list @t238)) % 0.38/0.63 (define @t274 () (and @t71 @t220 @t70)) % 0.38/0.63 (define @t275 () (@list @t220)) % 0.38/0.63 (assume @p1 (forall (@list @t7 @t2 @t5) (= (tptp.stoppedIn @t7 @t2 @t5) (exists @t10 (and @t9 @t8 @t6 @t4))))) % 0.38/0.63 (assume @p2 (forall (@list @t7 @t5 @t2) (= (tptp.startedIn @t7 @t2 @t5) (exists @t10 (and @t9 @t8 @t6 @t11))))) % 0.38/0.63 (assume @p3 (forall (@list @t3 @t1 @t2 @t14 @t12) (=> (and @t9 @t11 (tptp.less tptp.n0 @t12) (tptp.trajectory @t2 @t1 @t14 @t12) (not (tptp.stoppedIn @t1 @t2 @t13))) (tptp.holdsAt @t14 @t13)))) % 0.38/0.63 (assume @p4 (forall (@list @t3 @t7 @t16 @t5 @t14) (=> (and (tptp.happens @t3 @t7) (tptp.terminates @t3 @t16 @t7) (tptp.less tptp.n0 @t5) (tptp.antitrajectory @t16 @t7 @t14 @t5) (not (tptp.startedIn @t7 @t16 @t15))) (tptp.holdsAt @t14 @t15)))) % 0.38/0.63 (assume @p5 (forall @t24 (=> (and @t23 @t22 (not (exists @t20 @t19))) @t18))) % 0.38/0.63 (assume @p6 @t32) % 0.38/0.63 (assume @p7 @t40) % 0.38/0.63 (assume @p8 (forall @t24 (=> (and @t43 (not (exists @t20 @t42))) @t22))) % 0.38/0.63 (assume @p9 (forall @t44 (=> @t26 @t18))) % 0.38/0.63 (assume @p10 @t45) % 0.38/0.63 (assume @p11 (forall @t44 (=> @t42 @t21))) % 0.38/0.63 (assume @p12 (forall @t44 (=> @t34 @t22))) % 0.38/0.63 (assume @p13 @t55) % 0.38/0.63 (assume @p14 (forall @t54 (= @t4 (or (and @t53 @t50 @t51) (and @t48 @t52 @t49) (and @t48 @t52 @t46) (and @t48 @t50 @t46) (and @t53 @t47 @t51) (and @t48 @t47 @t49))))) % 0.38/0.63 (assume @p15 (forall @t54 (not @t41))) % 0.38/0.63 (assume @p16 @t57) % 0.38/0.63 (assume @p17 @t59) % 0.38/0.63 (assume @p18 (not (= tptp.forwards tptp.backwards))) % 0.38/0.63 (assume @p19 (not @t60)) % 0.38/0.63 (assume @p20 (not @t61)) % 0.38/0.63 (assume @p21 (= (tptp.plus tptp.n0 tptp.n0) tptp.n0)) % 0.38/0.63 (assume @p22 (= @t62 tptp.n1)) % 0.38/0.63 (assume @p23 (= (tptp.plus tptp.n0 tptp.n2) tptp.n2)) % 0.38/0.63 (assume @p24 (= (tptp.plus tptp.n0 tptp.n3) tptp.n3)) % 0.38/0.63 (assume @p25 (= @t63 tptp.n2)) % 0.38/0.63 (assume @p26 (= (tptp.plus tptp.n1 tptp.n2) tptp.n3)) % 0.38/0.63 (assume @p27 (= (tptp.plus tptp.n1 tptp.n3) tptp.n4)) % 0.38/0.63 (assume @p28 (= (tptp.plus tptp.n2 tptp.n2) tptp.n4)) % 0.38/0.63 (assume @p29 (= (tptp.plus tptp.n2 tptp.n3) tptp.n5)) % 0.38/0.63 (assume @p30 (= (tptp.plus tptp.n3 tptp.n3) tptp.n6)) % 0.38/0.63 (assume @p31 (forall @t66 (= (tptp.plus @t64 @t65) (tptp.plus @t65 @t64)))) % 0.38/0.63 (assume @p32 (forall @t66 (= (tptp.less_or_equal @t64 @t65) (or @t67 (= @t64 @t65))))) % 0.38/0.63 (assume @p33 (not (exists @t68 (tptp.less @t64 tptp.n0)))) % 0.38/0.63 (assume @p34 (forall @t68 (= (tptp.less @t64 tptp.n1) (tptp.less_or_equal @t64 tptp.n0)))) % 0.38/0.63 (assume @p35 (forall @t68 (= (tptp.less @t64 tptp.n2) (tptp.less_or_equal @t64 tptp.n1)))) % 0.38/0.63 (assume @p36 (forall @t68 (= (tptp.less @t64 tptp.n3) (tptp.less_or_equal @t64 tptp.n2)))) % 0.38/0.63 (assume @p37 (forall @t68 (= (tptp.less @t64 tptp.n4) (tptp.less_or_equal @t64 tptp.n3)))) % 0.38/0.63 (assume @p38 (forall @t68 (= (tptp.less @t64 tptp.n5) (tptp.less_or_equal @t64 tptp.n4)))) % 0.38/0.63 (assume @p39 (forall @t68 (= (tptp.less @t64 tptp.n6) (tptp.less_or_equal @t64 tptp.n5)))) % 0.38/0.63 (assume @p40 (forall @t68 (= (tptp.less @t64 tptp.n7) (tptp.less_or_equal @t64 tptp.n6)))) % 0.38/0.63 (assume @p41 (forall @t68 (= (tptp.less @t64 tptp.n8) (tptp.less_or_equal @t64 tptp.n7)))) % 0.38/0.63 (assume @p42 (forall @t68 (= (tptp.less @t64 tptp.n9) (tptp.less_or_equal @t64 tptp.n8)))) % 0.38/0.63 (assume @p43 (forall @t66 (= @t67 (and (not (tptp.less @t65 @t64)) (not (= @t65 @t64)))))) % 0.38/0.63 (assume @p44 (not (tptp.holdsAt tptp.forwards tptp.n0))) % 0.38/0.63 (assume @p45 (not (tptp.holdsAt tptp.backwards tptp.n0))) % 0.38/0.63 (assume @p46 @t70) % 0.38/0.63 (assume @p47 (forall @t24 @t43)) % 0.38/0.63 (assume @p48 (not @t72)) % 0.38/0.63 (assume @p49 true) % 0.38/0.63 (step @p50 :rule aci_norm :args ((= (and @t76 true @t73) @t77))) % 0.38/0.63 (step @p51 :rule refl :args (@t73)) % 0.38/0.63 (step @p52 :rule eq-refl :args (tptp.spinning)) % 0.38/0.63 (step @p53 :rule eq-symm :args (@t75 tptp.pull)) % 0.38/0.63 (step @p54 :rule nary_cong :premises (@p53 @p52 @p51) :args (@t80)) % 0.38/0.63 (step @p55 :rule trans :premises (@p54 @p50)) % 0.38/0.63 (step @p56 :rule refl :args (@t81)) % 0.38/0.63 (step @p57 :rule eq-symm :args (tptp.spinning tptp.backwards)) % 0.38/0.63 (step @p58 :rule nary_cong :premises (@p53 @p57 @p56) :args (@t82)) % 0.38/0.63 (step @p59 :rule refl :args (@t83)) % 0.38/0.63 (step @p60 :rule eq-symm :args (tptp.spinning tptp.forwards)) % 0.38/0.63 (step @p61 :rule eq-symm :args (@t75 tptp.push)) % 0.38/0.63 (step @p62 :rule nary_cong :premises (@p61 @p60 @p59) :args (@t86)) % 0.38/0.63 (step @p63 :rule nary_cong :premises (@p62 @p58 @p55) :args (@t87)) % 0.38/0.63 (step @p64 :rule refl :args (@t88)) % 0.38/0.63 (step @p65 :rule cong :premises (@p64 @p63) :args (@t89)) % 0.38/0.63 (step @p66 :rule refl :args (@t55)) % 0.38/0.63 (step @p67 :rule cong :premises (@p66 @p65) :args ((=> @t55 @t89))) % 0.38/0.63 (assume-push @p705 @t55) % 0.38/0.63 (step @p69 :rule instantiate :premises (@p13) :args ((@list @t75 tptp.spinning tptp.n0))) % 0.38/0.63 (step-pop @p706 :rule scope :premises (@p69)) % 0.38/0.63 (step @p70 :rule process_scope :premises (@p706) :args (@t89)) % 0.38/0.63 (step @p72 :rule eq_resolve :premises (@p70 @p67)) % 0.38/0.63 (step @p73 :rule implies_elim :premises (@p72)) % 0.38/0.63 (step @p74 :rule chain_m_resolution :premises (@p73 @p13) :args (@t95 @t96 @t97)) % 0.38/0.63 (step @p75 :rule aci_norm :args ((= (or (or @t23 @t21 @t101) @t25) (or @t23 @t21 @t101 @t25)))) % 0.38/0.63 (step @p76 :rule refl :args (@t25)) % 0.38/0.63 (step @p77 :rule refl :args (@t101)) % 0.38/0.63 (step @p78 :rule bool-double-not-elim :args (@t21)) % 0.38/0.63 (step @p79 :rule bool-double-not-elim :args (@t23)) % 0.38/0.63 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77) :args (@t104)) % 0.38/0.63 (step @p81 :rule aci_norm :args ((= (or @t103 (or @t102 @t101)) @t104))) % 0.38/0.63 (step @p82 :rule trans :premises (@p81 @p80)) % 0.38/0.63 (step @p83 :rule bool-and-de-morgan :args (@t22 @t100 true)) % 0.38/0.63 (step @p84 :rule refl :args (@t103)) % 0.38/0.63 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t103 (not (and @t22 @t100))))) % 0.38/0.63 (step @p86 :rule bool-and-de-morgan :args (@t29 @t22 (and @t100))) % 0.38/0.63 (step @p87 :rule trans :premises (@p86 @p85)) % 0.38/0.63 (step @p88 :rule trans :premises (@p87 @p82)) % 0.38/0.63 (step @p89 :rule nary_cong :premises (@p88 @p76) :args ((or (not @t105) @t25))) % 0.38/0.63 (step @p90 :rule trans :premises (@p89 @p75)) % 0.38/0.63 (step @p91 :rule bool-impl-elim :args (@t105 @t25)) % 0.38/0.63 (step @p92 :rule trans :premises (@p91 @p90)) % 0.38/0.63 (step @p93 :rule cong :premises (@p92) :args ((forall @t24 (=> @t105 @t25)))) % 0.38/0.63 (step @p94 :rule refl :args (@t25)) % 0.38/0.63 (step @p95 :rule bool-double-not-elim :args (@t100)) % 0.38/0.63 (step @p96 :rule bool-and-de-morgan :args (@t9 @t11 true)) % 0.38/0.63 (step @p97 :rule cong :premises (@p96) :args (@t106)) % 0.38/0.63 (step @p98 :rule cong :premises (@p97) :args (@t107)) % 0.38/0.63 (step @p99 :rule exists-elim :args ((= @t27 @t107))) % 0.38/0.63 (step @p100 :rule trans :premises (@p99 @p98)) % 0.38/0.63 (step @p101 :rule cong :premises (@p100) :args (@t28)) % 0.38/0.63 (step @p102 :rule trans :premises (@p101 @p95)) % 0.38/0.63 (step @p103 :rule refl :args (@t22)) % 0.38/0.63 (step @p104 :rule refl :args (@t29)) % 0.38/0.63 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102) :args (@t30)) % 0.38/0.63 (step @p106 :rule cong :premises (@p105 @p94) :args (@t31)) % 0.38/0.63 (step @p107 :rule cong :premises (@p106) :args (@t32)) % 0.38/0.63 (step @p108 :rule trans :premises (@p107 @p93)) % 0.38/0.63 (step @p109 :rule eq_resolve :premises (@p6 @p108)) % 0.38/0.63 (step @p110 :rule instantiate :premises (@p109) :args ((@list tptp.spinning tptp.n0))) % 0.38/0.63 (step @p111 :rule bool-double-not-elim :args (@t71)) % 0.38/0.63 (step @p112 :rule eq_resolve :premises (@p48 @p111)) % 0.38/0.63 (step @p113 :rule true_intro :premises (@p112)) % 0.38/0.63 (step @p114 :rule refl :args (tptp.spinning)) % 0.38/0.63 (step @p115 :rule cong :premises (@p114 @p25) :args (@t108)) % 0.38/0.63 (step @p116 :rule trans :premises (@p115 @p113)) % 0.38/0.63 (step @p117 :rule true_elim :premises (@p116)) % 0.38/0.63 (step @p118 :rule instantiate :premises (@p109) :args (@t109)) % 0.38/0.63 (step @p119 :rule instantiate :premises (@p47) :args ((@list tptp.spinning @t63))) % 0.38/0.63 (step @p120 :rule cnf_or_pos :args (@t117)) % 0.38/0.63 (step @p121 :rule reordering :premises (@p120) :args ((or @t116 @t115 @t114 @t110 (not @t117)))) % 0.38/0.63 (step @p122 :rule refl :args (@t122)) % 0.38/0.63 (step @p123 :rule bool-double-not-elim :args (@t113)) % 0.38/0.63 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or (not @t114) @t122))) % 0.38/0.63 (assume-push @p707 @t114) % 0.38/0.63 (step @p126 :rule skolemize :premises (@p707)) % 0.38/0.63 (step-pop @p708 :rule scope :premises (@p126)) % 0.38/0.63 (step @p127 :rule process_scope :premises (@p708) :args (@t122)) % 0.38/0.63 (step @p129 :rule implies_elim :premises (@p127)) % 0.38/0.63 (step @p130 :rule eq_resolve :premises (@p129 @p124)) % 0.38/0.63 (step @p131 :rule bool-double-not-elim :args (@t119)) % 0.38/0.63 (step @p132 :rule refl :args (@t121)) % 0.38/0.63 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or @t121 (not @t120)))) % 0.38/0.63 (step @p134 :rule cnf_or_neg :args (@t121 1)) % 0.38/0.63 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 0.38/0.63 (step @p136 :rule reordering :premises (@p135) :args ((or @t119 @t121))) % 0.38/0.63 (step @p137 :rule aci_norm :args ((= (and @t124 true @t123) @t125))) % 0.38/0.63 (step @p138 :rule refl :args (@t123)) % 0.38/0.63 (step @p139 :rule eq-symm :args (@t118 tptp.pull)) % 0.38/0.63 (step @p140 :rule nary_cong :premises (@p139 @p52 @p138) :args (@t127)) % 0.38/0.63 (step @p141 :rule trans :premises (@p140 @p137)) % 0.38/0.63 (step @p142 :rule refl :args (@t128)) % 0.38/0.63 (step @p143 :rule nary_cong :premises (@p139 @p57 @p142) :args (@t129)) % 0.38/0.63 (step @p144 :rule refl :args (@t131)) % 0.38/0.63 (step @p145 :rule eq-symm :args (@t118 tptp.push)) % 0.38/0.63 (step @p146 :rule nary_cong :premises (@p145 @p60 @p144) :args (@t132)) % 0.38/0.63 (step @p147 :rule nary_cong :premises (@p146 @p143 @p141) :args (@t133)) % 0.38/0.63 (step @p148 :rule refl :args (@t119)) % 0.38/0.63 (step @p149 :rule cong :premises (@p148 @p147) :args (@t134)) % 0.38/0.63 (step @p150 :rule cong :premises (@p66 @p149) :args ((=> @t55 @t134))) % 0.38/0.63 (assume-push @p709 @t55) % 0.38/0.63 (step @p152 :rule instantiate :premises (@p13) :args ((@list @t118 tptp.spinning tptp.n1))) % 0.38/0.63 (step-pop @p710 :rule scope :premises (@p152)) % 0.38/0.63 (step @p153 :rule process_scope :premises (@p710) :args (@t134)) % 0.38/0.63 (step @p155 :rule eq_resolve :premises (@p153 @p150)) % 0.35/0.63 (step @p156 :rule implies_elim :premises (@p155)) % 0.35/0.63 (step @p157 :rule chain_m_resolution :premises (@p156 @p13) :args (@t138 @t96 @t97)) % 0.35/0.63 (step @p158 :rule cnf_equiv_pos1 :args (@t138)) % 0.35/0.63 (step @p159 :rule reordering :premises (@p158) :args ((or @t120 @t137 (not @t138)))) % 0.35/0.63 (step @p160 :rule symm :premises (@p20)) % 0.35/0.63 (step @p161 :rule cnf_and_pos :args (@t135 1)) % 0.35/0.63 (step @p162 :rule reordering :premises (@p161) :args ((or @t90 @t139))) % 0.35/0.63 (step @p163 :rule chain_m_resolution :premises (@p162 @p160) :args (@t139 @t140 @t141)) % 0.35/0.63 (step @p164 :rule cnf_and_pos :args (@t136 1)) % 0.35/0.63 (step @p165 :rule reordering :premises (@p164) :args ((or @t60 @t142))) % 0.35/0.63 (step @p166 :rule chain_m_resolution :premises (@p165 @p19) :args (@t142 @t140 @t143)) % 0.35/0.63 (step @p167 :rule cnf_or_pos :args (@t137)) % 0.35/0.63 (step @p168 :rule reordering :premises (@p167) :args ((or @t136 @t135 @t125 (not @t137)))) % 0.35/0.63 (step @p169 :rule cnf_and_pos :args (@t125 1)) % 0.35/0.63 (step @p170 :rule reordering :premises (@p169) :args ((or @t123 (not @t125)))) % 0.35/0.63 (step @p171 :rule aci_norm :args ((= (and true @t144) @t144))) % 0.35/0.63 (step @p172 :rule 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(@p831)) % 0.35/0.63 (step @p655 :rule process_scope :premises (@p832) :args (@t224)) % 0.35/0.63 (step @p658 :rule and_intro :premises (@p828 @p204)) % 0.35/0.63 (step @p659 :rule modus_ponens :premises (@p658 @p655)) % 0.35/0.63 (step-pop @p833 :rule scope :premises (@p659)) % 0.35/0.63 (step-pop @p834 :rule scope :premises (@p833)) % 0.35/0.63 (step @p660 :rule process_scope :premises (@p834) :args (@t224)) % 0.35/0.63 (step @p663 :rule implies_elim :premises (@p660)) % 0.35/0.63 (step @p664 :rule cnf_and_neg :args (@t272)) % 0.35/0.63 (step @p665 :rule resolution :premises (@p664 @p663) :args (true @t272)) % 0.35/0.63 (step @p666 :rule eq_resolve :premises (@p665 @p647)) % 0.35/0.63 (step @p667 :rule chain_m_resolution :premises (@p666 @p204 @p645) :args (@t224 (@list false true) (@list @t160 @t226))) % 0.35/0.63 (step @p668 :rule chain_m_resolution :premises (@p458 @p46 @p667 @p284 @p110) :args (@t233 (@list true true false false) (@list @t69 @t223 @t172 @t234))) % 0.35/0.63 (step @p669 :rule chain_m_resolution :premises (@p467 @p668) :args (@t239 @t140 (@list @t74))) % 0.35/0.63 (step @p670 :rule chain_m_resolution :premises (@p478 @p669) :args (@t88 @t140 @t273)) % 0.35/0.63 (step @p671 :rule chain_m_resolution :premises (@p502 @p670 @p74) :args (@t94 @t174 (@list @t88 @t95))) % 0.35/0.63 (step @p672 :rule chain_m_resolution :premises (@p512 @p510 @p507 @p671) :args (@t77 (@list true true false) (@list @t93 @t91 @t94))) % 0.35/0.63 (step @p673 :rule chain_m_resolution :premises (@p473 @p669) :args (@t236 @t140 @t273)) % 0.35/0.63 (step @p674 :rule chain_m_resolution :premises (@p500 @p673 @p498) :args (@t246 @t174 (@list @t236 @t247))) % 0.35/0.63 (step @p675 :rule nary_cong :premises (@p358 @p237 @p392) :args ((or @t216 @t72 @t221))) % 0.35/0.63 (assume-push @p835 @t71) % 0.35/0.63 (assume-push @p836 @t220) % 0.35/0.63 (assume-push @p837 @t70) % 0.35/0.63 (step @p242 :rule evaluate :args (@t170)) % 0.35/0.63 (step @p679 :rule cong :premises (@p114 @p836) :args (@t69)) % 0.35/0.63 (step @p366 :rule false_intro :premises (@p46)) % 0.35/0.63 (step @p367 :rule symm :premises (@p366)) % 0.35/0.63 (step @p680 :rule trans :premises (@p367 @p679 @p113)) % 0.35/0.63 (step @p681 false :rule eq_resolve :premises (@p680 @p242)) % 0.35/0.63 (step-pop @p838 :rule scope :premises (@p681)) % 0.35/0.63 (step-pop @p839 :rule scope :premises (@p838)) % 0.35/0.63 (step-pop @p840 :rule scope :premises (@p839)) % 0.35/0.63 (step @p682 :rule process_scope :premises (@p840) :args (false)) % 0.35/0.63 (assume-push @p841 @t70) % 0.35/0.63 (assume-push @p842 @t71) % 0.35/0.63 (assume-push @p843 @t220) % 0.35/0.63 (step @p689 :rule and_intro :premises (@p112 @p843 @p46)) % 0.35/0.63 (step-pop @p844 :rule scope :premises (@p689)) % 0.35/0.63 (step-pop @p845 :rule scope :premises (@p844)) % 0.35/0.63 (step-pop @p846 :rule scope :premises (@p845)) % 0.35/0.63 (step @p690 :rule process_scope :premises (@p846) :args (@t274)) % 0.35/0.63 (step @p694 :rule implies_elim :premises (@p690)) % 0.35/0.63 (step @p695 :rule resolution :premises (@p694 @p682) :args (true @t274)) % 0.35/0.63 (step @p696 :rule not_and :premises (@p695)) % 0.35/0.63 (step @p697 :rule eq_resolve :premises (@p696 @p675)) % 0.35/0.63 (step @p698 :rule chain_m_resolution :premises (@p697 @p46 @p112) :args (@t221 @t254 (@list @t69 @t71))) % 0.35/0.63 (step @p699 :rule chain_m_resolution :premises (@p456 @p698) :args (@t231 @t140 @t275)) % 0.35/0.63 (step @p700 :rule chain_m_resolution :premises (@p454 @p698) :args (@t229 @t140 @t275)) % 0.35/0.63 (step @p701 :rule chain_m_resolution :premises (@p391 @p570) :args (@t219 @t140 @t260)) % 0.35/0.63 (step @p702 :rule chain_m_resolution :premises (@p504 @p701 @p700 @p699 @p674) :args (@t92 (@list true true true false) (@list @t218 @t228 @t230 @t246))) % 0.35/0.63 (step @p703 :rule chain_m_resolution :premises (@p544 @p17 @p702) :args (@t250 @t254 (@list @t58 @t92))) % 0.35/0.63 (step @p704 false :rule chain_m_resolution :premises (@p514 @p703 @p672) :args (false @t254 (@list @t76 @t77))) % 0.35/0.63 ) % 0.35/0.63 % SZS output end Proof % 0.35/0.63 % cvc5 exiting %------------------------------------------------------------------------------