%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW653_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 09:05:25 AM UTC 2026 % Result : Theorem 0.37s 0.63s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWW653_2 : TPTP v9.2.1. Released v6.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 17:21:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_ARI % 0.37/0.63 --- Run --finite-model-find --decision=internal at 45... % 0.37/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.37/0.63 % SZS status Theorem % 0.37/0.63 % SZS output start Proof % 0.37/0.63 ( % 0.37/0.63 (declare-sort tptp.uf1 0) % 0.37/0.63 (declare-sort tptp.tuple02 0) % 0.37/0.63 (declare-sort tptp.bool1 0) % 0.37/0.63 (declare-sort tptp.ty 0) % 0.37/0.63 (declare-sort tptp.uni 0) % 0.37/0.63 (declare-sort tptp.graph1 0) % 0.37/0.63 (declare-sort tptp.uf_pure1 0) % 0.37/0.63 (declare-const tptp.path1 (-> tptp.graph1 Int Int Bool)) % 0.37/0.63 (declare-const tptp.state1 (-> tptp.uf1 tptp.uf_pure1)) % 0.37/0.63 (declare-const tptp.num1 (-> tptp.uf_pure1 Int)) % 0.37/0.63 (declare-const tptp.tuple03 tptp.tuple02) % 0.37/0.63 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 0.37/0.63 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 0.37/0.63 (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni)) % 0.37/0.63 (declare-const tptp.mk_uf1 (-> tptp.uf_pure1 tptp.uf1)) % 0.37/0.63 (declare-const tptp.true1 tptp.bool1) % 0.37/0.63 (declare-const tptp.false1 tptp.bool1) % 0.37/0.63 (declare-const tptp.ref (-> tptp.ty tptp.ty)) % 0.37/0.63 (declare-const tptp.same_reprs1 (-> tptp.uf_pure1 tptp.uf_pure1 Bool)) % 0.37/0.63 (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni)) % 0.37/0.63 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 0.37/0.63 (declare-const tptp.repr1 (-> tptp.uf_pure1 Int Int Bool)) % 0.37/0.63 (declare-const tptp.size1 (-> tptp.uf_pure1 Int)) % 0.37/0.63 (declare-const tptp.same1 (-> tptp.uf_pure1 Int Int Bool)) % 0.37/0.63 (define @t1 () (@var "A" tptp.ty)) % 0.37/0.63 (define @t2 () (@var "X2" tptp.uni)) % 0.37/0.63 (define @t3 () (@var "X1" tptp.uni)) % 0.37/0.63 (define @t4 () (@var "X" tptp.bool1)) % 0.37/0.63 (define @t5 () (@var "Z" tptp.uni)) % 0.37/0.63 (define @t6 () (@var "Z1" tptp.uni)) % 0.37/0.63 (define @t7 () (@list @t1 @t5 @t6)) % 0.37/0.63 (define @t8 () (@var "U" tptp.bool1)) % 0.37/0.63 (define @t9 () (@var "U" tptp.tuple02)) % 0.37/0.63 (define @t10 () (@var "Z" Int)) % 0.37/0.63 (define @t11 () (@var "Y" Int)) % 0.37/0.63 (define @t12 () (@var "X" Int)) % 0.37/0.63 (define @t13 () (@var "X" tptp.uni)) % 0.37/0.63 (define @t14 () (tptp.ref @t1)) % 0.37/0.63 (define @t15 () (@list @t1 @t13)) % 0.37/0.63 (define @t16 () (@var "U" tptp.uni)) % 0.37/0.63 (define @t17 () (@list @t1 @t16)) % 0.37/0.63 (define @t18 () (@var "U" tptp.uf_pure1)) % 0.37/0.63 (define @t19 () (tptp.repr1 @t18 @t12 @t11)) % 0.37/0.63 (define @t20 () (tptp.size1 @t18)) % 0.37/0.63 (define @t21 () (< @t11 @t20)) % 0.37/0.63 (define @t22 () (<= 0 @t11)) % 0.37/0.63 (define @t23 () (<= 0 @t12)) % 0.37/0.63 (define @t24 () (and @t23 (< @t12 @t20))) % 0.37/0.63 (define @t25 () (@var "R" Int)) % 0.37/0.63 (define @t26 () (@list @t25)) % 0.37/0.63 (define @t27 () (tptp.same1 @t18 @t12 @t11)) % 0.37/0.63 (define @t28 () (@var "U2" tptp.uf_pure1)) % 0.37/0.63 (define @t29 () (@var "U1" tptp.uf_pure1)) % 0.37/0.63 (define @t30 () (@list @t12 @t11)) % 0.37/0.63 (define @t31 () (tptp.num1 @t18)) % 0.37/0.63 (define @t32 () (@list @t18)) % 0.37/0.63 (define @t33 () (@var "U" tptp.uf1)) % 0.37/0.63 (define @t34 () (@var "G" tptp.graph1)) % 0.37/0.63 (define @t35 () (@list @t34 @t12)) % 0.37/0.63 (define @t36 () (tptp.path1 @t34 @t12 @t11)) % 0.37/0.63 (define @t37 () (@list @t34 @t12 @t11)) % 0.37/0.63 (define @t38 () (@var "Z3" Int)) % 0.37/0.63 (define @t39 () (@var "Z2" Int)) % 0.37/0.63 (define @t40 () (@var "Z1" Int)) % 0.37/0.63 (define @t41 () (= @t40 @t12)) % 0.37/0.63 (define @t42 () (@var "Z" tptp.graph1)) % 0.37/0.63 (define @t43 () (= @t42 @t34)) % 0.37/0.63 (define @t44 () (= @t39 @t12)) % 0.37/0.63 (define @t45 () (@var "N" Int)) % 0.37/0.63 (define @t46 () (* @t45 @t45)) % 0.37/0.63 (define @t47 () (+ (* @t12 @t45) @t11)) % 0.37/0.63 (define @t48 () (@var "Graph" tptp.graph1)) % 0.37/0.63 (define @t49 () (tptp.path1 @t48 @t12 @t11)) % 0.37/0.63 (define @t50 () (= @t27 @t49)) % 0.37/0.63 (define @t51 () (and @t22 (< @t11 @t46))) % 0.37/0.63 (define @t52 () (=> @t51 @t50)) % 0.37/0.63 (define @t53 () (and @t23 (< @t12 @t46))) % 0.37/0.63 (define @t54 () (=> @t53 @t52)) % 0.37/0.63 (define @t55 () (forall @t30 @t54)) % 0.37/0.63 (define @t56 () (= @t20 @t46)) % 0.37/0.63 (define @t57 () (@var "Num_edges" Int)) % 0.37/0.63 (define @t58 () (+ @t31 @t57)) % 0.37/0.63 (define @t59 () (= @t58 @t20)) % 0.37/0.63 (define @t60 () (and (<= 1 @t31) @t59 @t56 @t55)) % 0.37/0.63 (define @t61 () (= @t12 @t11)) % 0.37/0.63 (define @t62 () (tptp.repr1 @t18 @t12 @t12)) % 0.37/0.63 (define @t63 () (and @t19 @t62 @t61)) % 0.37/0.63 (define @t64 () (=> @t27 @t63)) % 0.37/0.63 (define @t65 () (=> @t51 @t64)) % 0.37/0.63 (define @t66 () (=> @t53 @t65)) % 0.37/0.63 (define @t67 () (forall @t30 @t66)) % 0.37/0.63 (define @t68 () (=> @t67 @t60)) % 0.37/0.63 (define @t69 () (=> @t53 @t62)) % 0.37/0.63 (define @t70 () (@list @t12)) % 0.37/0.63 (define @t71 () (forall @t70 @t69)) % 0.37/0.63 (define @t72 () (= @t31 @t46)) % 0.37/0.63 (define @t73 () (and @t72 @t56 @t71)) % 0.37/0.63 (define @t74 () (=> @t73 @t68)) % 0.37/0.63 (define @t75 () (forall @t32 @t74)) % 0.37/0.63 (define @t76 () (<= 0 @t46)) % 0.37/0.63 (define @t77 () (=> @t76 @t75)) % 0.37/0.63 (define @t78 () (forall @t30 (= @t61 @t49))) % 0.37/0.63 (define @t79 () (= @t57 0)) % 0.37/0.63 (define @t80 () (and (<= 1 @t45) @t79 @t78)) % 0.37/0.63 (define @t81 () (=> @t80 @t77)) % 0.37/0.63 (define @t82 () (@list @t45 @t57 @t48)) % 0.37/0.63 (define @t83 () (forall @t82 @t81)) % 0.37/0.63 (define @t84 () (not @t83)) % 0.37/0.63 (define @t85 () (@var "BOUND_VARIABLE_8063" Int)) % 0.37/0.63 (define @t86 () (@var "BOUND_VARIABLE_8061" Int)) % 0.37/0.63 (define @t87 () (@var "BOUND_VARIABLE_8059" tptp.uf_pure1)) % 0.37/0.63 (define @t88 () (* @t45 @t45)) % 0.37/0.63 (define @t89 () (* -1 @t88)) % 0.37/0.63 (define @t90 () (or (not (>= @t86 0)) (>= (+ @t86 @t89) 0) (not (>= @t85 0)) (>= (+ @t85 @t89) 0) (= (tptp.same1 @t87 @t86 @t85) (tptp.path1 @t48 @t86 @t85)))) % 0.37/0.63 (define @t91 () (tptp.size1 @t87)) % 0.37/0.63 (define @t92 () (= @t88 @t91)) % 0.37/0.63 (define @t93 () (tptp.num1 @t87)) % 0.37/0.63 (define @t94 () (= @t93 @t91)) % 0.37/0.63 (define @t95 () (>= @t93 1)) % 0.37/0.63 (define @t96 () (and @t95 @t94 @t92 @t90)) % 0.37/0.63 (define @t97 () (tptp.repr1 @t87 @t12 @t12)) % 0.37/0.63 (define @t98 () (+ @t11 @t89)) % 0.37/0.63 (define @t99 () (>= @t98 0)) % 0.37/0.63 (define @t100 () (>= @t11 0)) % 0.37/0.63 (define @t101 () (not @t100)) % 0.37/0.63 (define @t102 () (+ @t12 @t89)) % 0.37/0.63 (define @t103 () (>= @t102 0)) % 0.37/0.63 (define @t104 () (>= @t12 0)) % 0.37/0.63 (define @t105 () (not @t104)) % 0.37/0.63 (define @t106 () (not (forall @t30 (or @t105 @t103 @t101 @t99 (not (tptp.same1 @t87 @t12 @t11)) (and (tptp.repr1 @t87 @t12 @t11) @t97 @t61))))) % 0.37/0.63 (define @t107 () (not (forall @t70 (or @t105 @t103 @t97)))) % 0.37/0.63 (define @t108 () (not @t92)) % 0.37/0.63 (define @t109 () (= @t88 @t93)) % 0.37/0.63 (define @t110 () (not @t109)) % 0.37/0.63 (define @t111 () (>= @t88 0)) % 0.37/0.63 (define @t112 () (not @t111)) % 0.37/0.63 (define @t113 () (not @t78)) % 0.37/0.63 (define @t114 () (>= @t45 1)) % 0.37/0.63 (define @t115 () (not @t114)) % 0.37/0.63 (define @t116 () (or @t115 @t113 @t112 @t110 @t108 @t107 @t106 @t96)) % 0.37/0.63 (define @t117 () (* -1 @t93)) % 0.37/0.63 (define @t118 () (+ @t117 @t91)) % 0.37/0.63 (define @t119 () (= 0 @t118)) % 0.37/0.63 (define @t120 () (and @t95 @t119 @t92 @t90)) % 0.37/0.63 (define @t121 () (= 0 0)) % 0.37/0.63 (define @t122 () (not @t121)) % 0.37/0.63 (define @t123 () (or @t115 @t122 @t113 @t112 @t110 @t108 @t107 @t106 @t120)) % 0.37/0.63 (define @t124 () (@list @t45 @t48 @t87 @t86 @t85)) % 0.37/0.63 (define @t125 () (and @t95 (= @t57 @t118) @t92 @t90)) % 0.37/0.63 (define @t126 () (not @t79)) % 0.37/0.63 (define @t127 () (or @t126 @t115 @t126 @t113 @t112 @t110 @t108 @t107 @t106 @t125)) % 0.37/0.63 (define @t128 () (@list @t57)) % 0.37/0.63 (define @t129 () (or @t115 @t126 @t113 @t112 @t110 @t108 @t107 @t106 @t125)) % 0.37/0.63 (define @t130 () (forall @t128 @t129)) % 0.37/0.63 (define @t131 () (forall @t124 @t130)) % 0.37/0.63 (define @t132 () (forall (@list @t45 @t48 @t87 @t86 @t85 @t57) @t129)) % 0.37/0.63 (define @t133 () (@list @t45 @t57 @t48 @t87 @t86 @t85)) % 0.37/0.63 (define @t134 () (= @t91 @t88)) % 0.37/0.63 (define @t135 () (+ @t91 @t117)) % 0.37/0.63 (define @t136 () (= @t57 @t135)) % 0.37/0.63 (define @t137 () (and @t95 @t136 @t134 @t90)) % 0.37/0.63 (define @t138 () (not @t134)) % 0.37/0.63 (define @t139 () (= @t93 @t88)) % 0.37/0.63 (define @t140 () (not @t139)) % 0.37/0.63 (define @t141 () (or @t115 @t126 @t113 @t112 @t140 @t138 @t107 @t106 @t137)) % 0.37/0.63 (define @t142 () (or @t140 @t138 @t107 @t106 @t137)) % 0.37/0.63 (define @t143 () (or @t115 @t126 @t113 @t112 @t142)) % 0.37/0.63 (define @t144 () (forall @t133 @t143)) % 0.37/0.63 (define @t145 () (@list @t87 @t86 @t85)) % 0.37/0.63 (define @t146 () (forall @t145 @t143)) % 0.37/0.63 (define @t147 () (forall @t145 @t142)) % 0.37/0.63 (define @t148 () (@var "BOUND_VARIABLE_8029" Int)) % 0.37/0.63 (define @t149 () (@var "BOUND_VARIABLE_8027" Int)) % 0.37/0.63 (define @t150 () (or @t115 @t126 @t113 @t112 @t147)) % 0.37/0.63 (define @t151 () (or (not (>= @t149 0)) (>= (+ @t149 @t89) 0) (not (>= @t148 0)) (>= (+ @t148 @t89) 0) (= (tptp.same1 @t18 @t149 @t148) (tptp.path1 @t48 @t149 @t148)))) % 0.37/0.63 (define @t152 () (= @t20 @t88)) % 0.37/0.63 (define @t153 () (+ @t20 (* -1 @t31))) % 0.37/0.63 (define @t154 () (= @t57 @t153)) % 0.37/0.63 (define @t155 () (>= @t31 1)) % 0.37/0.63 (define @t156 () (and @t155 @t154 @t152 @t151)) % 0.37/0.63 (define @t157 () (not @t27)) % 0.37/0.63 (define @t158 () (or @t105 @t103 @t101 @t99 @t157 @t63)) % 0.37/0.63 (define @t159 () (forall @t30 @t158)) % 0.37/0.63 (define @t160 () (not @t159)) % 0.37/0.63 (define @t161 () (or @t105 @t103 @t62)) % 0.37/0.63 (define @t162 () (forall @t70 @t161)) % 0.37/0.63 (define @t163 () (not @t162)) % 0.37/0.63 (define @t164 () (not @t152)) % 0.37/0.63 (define @t165 () (= @t31 @t88)) % 0.37/0.63 (define @t166 () (not @t165)) % 0.37/0.63 (define @t167 () (or @t166 @t164 @t163 @t160 @t156)) % 0.37/0.63 (define @t168 () (forall (@list @t18 @t149 @t148) @t167)) % 0.37/0.63 (define @t169 () (or @t115 @t126 @t113 @t112 @t168)) % 0.37/0.63 (define @t170 () (or @t115 @t126 @t113)) % 0.37/0.63 (define @t171 () (=> @t111 @t168)) % 0.37/0.63 (define @t172 () (and @t114 @t79 @t78)) % 0.37/0.63 (define @t173 () (@list @t149 @t148)) % 0.37/0.63 (define @t174 () (forall @t173 @t167)) % 0.37/0.63 (define @t175 () (forall @t173 @t151)) % 0.37/0.63 (define @t176 () (forall @t173 @t152)) % 0.37/0.63 (define @t177 () (forall @t173 @t154)) % 0.37/0.63 (define @t178 () (forall @t173 @t155)) % 0.37/0.63 (define @t179 () (and @t178 @t177 @t176 @t175)) % 0.37/0.63 (define @t180 () (forall @t173 @t156)) % 0.37/0.63 (define @t181 () (or @t166 @t164 @t163 @t160 @t180)) % 0.37/0.63 (define @t182 () (or @t105 @t103 @t101 @t99 @t50)) % 0.37/0.63 (define @t183 () (and @t155 @t154 @t152 (forall @t30 @t182))) % 0.37/0.63 (define @t184 () (or @t166 @t164 @t163 @t160 @t183)) % 0.37/0.63 (define @t185 () (or @t166 @t164 @t163)) % 0.37/0.63 (define @t186 () (=> @t159 @t183)) % 0.37/0.63 (define @t187 () (and @t165 @t152 @t162)) % 0.37/0.63 (define @t188 () (or @t101 @t99 @t50)) % 0.37/0.63 (define @t189 () (or @t105 @t103)) % 0.37/0.63 (define @t190 () (or @t101 @t99)) % 0.37/0.63 (define @t191 () (not @t99)) % 0.37/0.63 (define @t192 () (and @t100 @t191)) % 0.37/0.63 (define @t193 () (not @t192)) % 0.37/0.63 (define @t194 () (not @t103)) % 0.37/0.63 (define @t195 () (=> @t192 @t50)) % 0.37/0.63 (define @t196 () (and @t104 @t194)) % 0.37/0.63 (define @t197 () (not @t196)) % 0.37/0.63 (define @t198 () (>= @t11 @t46)) % 0.37/0.63 (define @t199 () (>= @t12 @t46)) % 0.37/0.63 (define @t200 () (+ @t57 @t31)) % 0.37/0.63 (define @t201 () (or @t101 @t99 @t157 @t63)) % 0.37/0.63 (define @t202 () (=> @t192 @t64)) % 0.37/0.63 (define @t203 () (forall @t124 @t116)) % 0.37/0.63 (define @t204 () (@quantifiers_skolemize @t203 2)) % 0.37/0.63 (define @t205 () (tptp.num1 @t204)) % 0.37/0.63 (define @t206 () (@quantifiers_skolemize @t203 0)) % 0.37/0.63 (define @t207 () (* @t206 @t206)) % 0.37/0.63 (define @t208 () (= @t207 @t205)) % 0.37/0.63 (define @t209 () (@quantifiers_skolemize @t203 4)) % 0.37/0.63 (define @t210 () (@quantifiers_skolemize @t203 3)) % 0.37/0.63 (define @t211 () (@quantifiers_skolemize @t203 1)) % 0.37/0.63 (define @t212 () (tptp.path1 @t211 @t210 @t209)) % 0.37/0.63 (define @t213 () (tptp.same1 @t204 @t210 @t209)) % 0.37/0.63 (define @t214 () (= @t213 @t212)) % 0.37/0.63 (define @t215 () (* -1 @t207)) % 0.37/0.63 (define @t216 () (>= (+ @t209 @t215) 0)) % 0.37/0.63 (define @t217 () (>= @t209 0)) % 0.37/0.63 (define @t218 () (not @t217)) % 0.37/0.63 (define @t219 () (>= (+ @t210 @t215) 0)) % 0.37/0.63 (define @t220 () (>= @t210 0)) % 0.37/0.63 (define @t221 () (not @t220)) % 0.37/0.63 (define @t222 () (or @t221 @t219 @t218 @t216 @t214)) % 0.37/0.63 (define @t223 () (tptp.size1 @t204)) % 0.37/0.63 (define @t224 () (= @t207 @t223)) % 0.37/0.63 (define @t225 () (= @t205 @t223)) % 0.37/0.63 (define @t226 () (>= @t205 1)) % 0.37/0.63 (define @t227 () (and @t226 @t225 @t224 @t222)) % 0.37/0.63 (define @t228 () (tptp.repr1 @t204 @t12 @t12)) % 0.37/0.63 (define @t229 () (>= (+ @t12 @t215) 0)) % 0.37/0.63 (define @t230 () (forall @t30 (or @t105 @t229 @t101 (>= (+ @t11 @t215) 0) (not (tptp.same1 @t204 @t12 @t11)) (and (tptp.repr1 @t204 @t12 @t11) @t228 @t61)))) % 0.37/0.63 (define @t231 () (not @t230)) % 0.37/0.63 (define @t232 () (not @t224)) % 0.37/0.63 (define @t233 () (not @t208)) % 0.37/0.63 (define @t234 () (forall @t30 (= @t61 (tptp.path1 @t211 @t12 @t11)))) % 0.37/0.63 (define @t235 () (not @t234)) % 0.37/0.63 (define @t236 () (>= @t206 1)) % 0.37/0.63 (define @t237 () (not @t236)) % 0.37/0.63 (define @t238 () (or @t237 @t235 (not (>= @t207 0)) @t233 @t232 (not (forall @t70 (or @t105 @t229 @t228))) @t231 @t227)) % 0.37/0.63 (define @t239 () (@list true)) % 0.37/0.63 (define @t240 () (@list @t238)) % 0.37/0.63 (define @t241 () (= @t210 @t209)) % 0.37/0.63 (define @t242 () (= @t241 @t212)) % 0.37/0.63 (define @t243 () (@list @t210 @t209)) % 0.37/0.63 (define @t244 () (= @t212 @t241)) % 0.37/0.63 (define @t245 () (@list false)) % 0.37/0.63 (define @t246 () (not @t244)) % 0.37/0.63 (define @t247 () (not @t241)) % 0.37/0.63 (define @t248 () (and (tptp.repr1 @t204 @t210 @t209) (tptp.repr1 @t204 @t210 @t210) @t241)) % 0.37/0.63 (define @t249 () (not @t213)) % 0.37/0.63 (define @t250 () (or @t221 @t219 @t218 @t216 @t249 @t248)) % 0.37/0.63 (define @t251 () (forall @t26 (= (tptp.repr1 @t204 @t210 @t25) (tptp.repr1 @t204 @t209 @t25)))) % 0.37/0.63 (define @t252 () (= @t213 @t251)) % 0.37/0.63 (define @t253 () (not @t251)) % 0.37/0.63 (define @t254 () (@quantifiers_skolemize @t251 0)) % 0.37/0.63 (define @t255 () (tptp.repr1 @t204 @t209 @t254)) % 0.37/0.63 (define @t256 () (tptp.repr1 @t204 @t210 @t254)) % 0.37/0.63 (define @t257 () (= @t256 @t255)) % 0.37/0.63 (define @t258 () (not @t257)) % 0.37/0.63 (define @t259 () (not @t256)) % 0.37/0.63 (define @t260 () (not @t255)) % 0.37/0.63 (define @t261 () (and @t241 @t260)) % 0.37/0.63 (define @t262 () (and @t241 @t255)) % 0.37/0.63 (define @t263 () (not @t226)) % 0.37/0.63 (define @t264 () (= @t206 0)) % 0.37/0.63 (define @t265 () (* -1 1)) % 0.37/0.63 (define @t266 () (+ 0 @t265)) % 0.37/0.63 (define @t267 () (+ @t206 (* -1 @t206))) % 0.37/0.63 (define @t268 () (< -1 0)) % 0.37/0.63 (define @t269 () (and @t264 @t236)) % 0.37/0.63 (define @t270 () (not @t264)) % 0.37/0.63 (define @t271 () (>= @t207 1)) % 0.37/0.63 (define @t272 () (+ 0 1)) % 0.37/0.63 (define @t273 () (>= @t207 @t272)) % 0.37/0.63 (define @t274 () (not @t271)) % 0.37/0.63 (define @t275 () (+ @t265 0 1)) % 0.37/0.63 (define @t276 () (* -1 @t205)) % 0.37/0.63 (define @t277 () (+ @t276 @t215 @t205 @t207)) % 0.37/0.63 (define @t278 () (+ @t207 @t276)) % 0.37/0.63 (define @t279 () (+ @t215 @t278 @t205)) % 0.37/0.63 (define @t280 () (>= @t279 @t275)) % 0.37/0.63 (define @t281 () (and @t263 @t208 @t271)) % 0.37/0.63 (assume @p1 (forall (@list @t1) (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 0.37/0.63 (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t4 @t3 @t2)))) % 0.37/0.63 (assume @p3 (forall @t7 (=> (tptp.sort1 @t1 @t5) (= (tptp.match_bool1 @t1 tptp.true1 @t5 @t6) @t5)))) % 0.37/0.63 (assume @p4 (forall @t7 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.false1 @t5 @t6) @t6)))) % 0.37/0.63 (assume @p5 (not (= tptp.true1 tptp.false1))) % 0.37/0.63 (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true1) (= @t8 tptp.false1)))) % 0.37/0.63 (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple03))) % 0.37/0.63 (assume @p8 (forall (@list @t12 @t11 @t10) (=> (<= @t12 @t11) (=> (<= 0 @t10) (<= (* @t12 @t10) (* @t11 @t10)))))) % 0.37/0.63 (assume @p9 (forall @t15 (tptp.sort1 @t14 (tptp.mk_ref @t1 @t13)))) % 0.37/0.63 (assume @p10 (forall @t15 (tptp.sort1 @t1 (tptp.contents @t1 @t13)))) % 0.37/0.63 (assume @p11 (forall @t17 (=> (tptp.sort1 @t1 @t16) (= (tptp.contents @t1 (tptp.mk_ref @t1 @t16)) @t16)))) % 0.37/0.63 (assume @p12 (forall @t17 (=> (tptp.sort1 @t14 @t16) (= @t16 (tptp.mk_ref @t1 (tptp.contents @t1 @t16)))))) % 0.37/0.63 (assume @p13 (forall (@list @t18 @t12) (=> @t24 (exists (@list @t11) (and @t22 @t21 @t19))))) % 0.37/0.63 (assume @p14 (forall (@list @t18 @t12 @t11 @t10) (=> @t24 (=> @t19 (=> (tptp.repr1 @t18 @t12 @t10) (= @t11 @t10)))))) % 0.37/0.63 (assume @p15 (forall (@list @t18 @t12 @t11) (= @t27 (forall @t26 (= (tptp.repr1 @t18 @t12 @t25) (tptp.repr1 @t18 @t11 @t25)))))) % 0.37/0.63 (assume @p16 (forall (@list @t29 @t28) (= (tptp.same_reprs1 @t29 @t28) (forall (@list @t12 @t25) (= (tptp.repr1 @t29 @t12 @t25) (tptp.repr1 @t28 @t12 @t25)))))) % 0.37/0.63 (assume @p17 (forall @t32 (=> (= @t31 1) (forall @t30 (=> @t24 (=> (and @t22 @t21) @t27)))))) % 0.37/0.63 (assume @p18 (forall @t32 (= (tptp.state1 (tptp.mk_uf1 @t18)) @t18))) % 0.37/0.63 (assume @p19 (forall (@list @t33) (= @t33 (tptp.mk_uf1 (tptp.state1 @t33))))) % 0.37/0.63 (assume @p20 (forall @t35 (tptp.path1 @t34 @t12 @t12))) % 0.37/0.63 (assume @p21 (forall @t37 (=> @t36 (tptp.path1 @t34 @t11 @t12)))) % 0.37/0.63 (assume @p22 (forall (@list @t34 @t12 @t11 @t10) (=> @t36 (=> (tptp.path1 @t34 @t11 @t10) (tptp.path1 @t34 @t12 @t10))))) % 0.37/0.63 (assume @p23 (forall (@list @t42 @t40 @t39) (=> (tptp.path1 @t42 @t40 @t39) (or (exists @t35 (and @t43 @t41 @t44)) (exists @t37 (and @t36 @t43 (= @t40 @t11) @t44)) (exists (@list @t34 @t12 @t11 @t38) (and @t36 (tptp.path1 @t34 @t11 @t38) @t43 @t41 (= @t39 @t38))))))) % 0.37/0.63 (assume @p24 (forall (@list @t45 @t12 @t11) (=> (<= 0 @t45) (=> (and @t23 (< @t12 @t45)) (=> (and @t22 (< @t11 @t45)) (and (<= 0 @t47) (< @t47 @t46))))))) % 0.37/0.63 (assume @p25 @t84) % 0.37/0.63 (assume @p26 true) % 0.37/0.63 (step @p27 :rule aci_norm :args ((= (or @t115 false @t113 @t112 @t110 @t108 @t107 @t106 @t96) @t116))) % 0.37/0.63 (step @p28 :rule refl :args (@t90)) % 0.37/0.63 (step @p29 :rule refl :args (@t92)) % 0.37/0.63 (step @p30 :rule arith_poly_norm :args ((= (* 1 (- 0 @t118)) (* 1 (- @t93 @t91))))) % 0.37/0.63 (step @p31 :rule arith_poly_norm_rel :premises (@p30) :args ((= @t119 @t94))) % 0.37/0.63 (step @p32 :rule refl :args (@t95)) % 0.37/0.63 (step @p33 :rule nary_cong :premises (@p32 @p31 @p29 @p28) :args (@t120)) % 0.37/0.63 (step @p34 :rule refl :args (@t106)) % 0.37/0.63 (step @p35 :rule refl :args (@t107)) % 0.37/0.63 (step @p36 :rule refl :args (@t108)) % 0.37/0.63 (step @p37 :rule refl :args (@t110)) % 0.37/0.63 (step @p38 :rule refl :args (@t112)) % 0.37/0.63 (step @p39 :rule refl :args (@t113)) % 0.37/0.63 (step @p40 :rule evaluate :args ((not true))) % 0.37/0.63 (step @p41 :rule evaluate :args (@t121)) % 0.37/0.63 (step @p42 :rule cong :premises (@p41) :args (@t122)) % 0.37/0.63 (step @p43 :rule trans :premises (@p42 @p40)) % 0.37/0.63 (step @p44 :rule refl :args (@t115)) % 0.37/0.63 (step @p45 :rule nary_cong :premises (@p44 @p43 @p39 @p38 @p37 @p36 @p35 @p34 @p33) :args (@t123)) % 0.37/0.63 (step @p46 :rule trans :premises (@p45 @p27)) % 0.37/0.63 (step @p47 :rule cong :premises (@p46) :args ((forall @t124 @t123))) % 0.37/0.63 (step @p48 :rule quant-var-elim-eq :args ((= (forall @t128 @t127) @t123))) % 0.37/0.63 (step @p49 :rule aci_norm :args ((= @t129 @t127))) % 0.37/0.63 (step @p50 :rule cong :premises (@p49) :args (@t130)) % 0.37/0.63 (step @p51 :rule trans :premises (@p50 @p48)) % 0.37/0.63 (step @p52 :rule cong :premises (@p51) :args (@t131)) % 0.37/0.63 (step @p53 :rule quant-merge-prenex :args ((= @t131 @t132))) % 0.37/0.63 (step @p54 :rule symm :premises (@p53)) % 0.37/0.63 (step @p55 :rule quant_var_reordering :args ((= (forall @t133 @t129) @t132))) % 0.37/0.63 (step @p56 :rule trans :premises (@p55 @p54 @p52)) % 0.37/0.63 (step @p57 :rule trans :premises (@p56 @p47)) % 0.37/0.63 (step @p58 :rule arith_poly_norm :args ((= (* -1 (- @t91 @t88)) (* 1 (- @t88 @t91))))) % 0.37/0.63 (step @p59 :rule arith_poly_norm_rel :premises (@p58) :args ((= @t134 @t92))) % 0.37/0.63 (step @p60 :rule arith_poly_norm :args ((= @t135 @t118))) % 0.37/0.63 (step @p61 :rule refl :args (@t57)) % 0.37/0.63 (step @p62 :rule cong :premises (@p61 @p60) :args (@t136)) % 0.37/0.63 (step @p63 :rule nary_cong :premises (@p32 @p62 @p59 @p28) :args (@t137)) % 0.37/0.63 (step @p64 :rule cong :premises (@p59) :args (@t138)) % 0.37/0.63 (step @p65 :rule arith_poly_norm :args ((= (* -1 (- @t93 @t88)) (* 1 (- @t88 @t93))))) % 0.37/0.63 (step @p66 :rule arith_poly_norm_rel :premises (@p65) :args ((= @t139 @t109))) % 0.37/0.63 (step @p67 :rule cong :premises (@p66) :args (@t140)) % 0.37/0.63 (step @p68 :rule refl :args (@t126)) % 0.37/0.63 (step @p69 :rule nary_cong :premises (@p44 @p68 @p39 @p38 @p67 @p64 @p35 @p34 @p63) :args (@t141)) % 0.37/0.63 (step @p70 :rule aci_norm :args ((= @t143 @t141))) % 0.37/0.63 (step @p71 :rule trans :premises (@p70 @p69)) % 0.37/0.63 (step @p72 :rule cong :premises (@p71) :args (@t144)) % 0.37/0.63 (step @p73 :rule trans :premises (@p72 @p57)) % 0.37/0.63 (step @p74 :rule quant-merge-prenex :args ((= (forall @t82 @t146) @t144))) % 0.37/0.63 (step @p75 :rule alpha_equiv :args (@t147 (@list @t87 @t86 @t85) (@list @t18 @t149 @t148))) % 0.37/0.63 (step @p76 :rule refl :args (@t112)) % 0.37/0.63 (step @p77 :rule refl :args (@t113)) % 0.37/0.63 (step @p78 :rule refl :args (@t126)) % 0.37/0.63 (step @p79 :rule refl :args (@t115)) % 0.37/0.63 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77 @p76 @p75) :args (@t150)) % 0.37/0.63 (step @p81 :rule quant-miniscope-or :args ((= @t146 @t150))) % 0.37/0.63 (step @p82 :rule trans :premises (@p81 @p80)) % 0.37/0.63 (step @p83 :rule symm :premises (@p82)) % 0.37/0.63 (step @p84 :rule cong :premises (@p83) :args ((forall @t82 @t169))) % 0.37/0.63 (step @p85 :rule trans :premises (@p84 @p74)) % 0.37/0.63 (step @p86 :rule trans :premises (@p85 @p73)) % 0.37/0.63 (step @p87 :rule aci_norm :args ((= (or @t170 (or @t112 @t168)) @t169))) % 0.37/0.63 (step @p88 :rule bool-impl-elim :args (@t111 @t168)) % 0.37/0.63 (step @p89 :rule aci_norm :args ((= (or @t115 (or @t126 @t113)) @t170))) % 0.37/0.63 (step @p90 :rule bool-and-de-morgan :args (@t79 @t78 true)) % 0.37/0.63 (step @p91 :rule nary_cong :premises (@p79 @p90) :args ((or @t115 (not (and @t79 @t78))))) % 0.37/0.63 (step @p92 :rule bool-and-de-morgan :args (@t114 @t79 (and @t78))) % 0.37/0.63 (step @p93 :rule trans :premises (@p92 @p91)) % 0.37/0.63 (step @p94 :rule trans :premises (@p93 @p89)) % 0.37/0.63 (step @p95 :rule nary_cong :premises (@p94 @p88) :args ((or (not @t172) @t171))) % 0.37/0.63 (step @p96 :rule trans :premises (@p95 @p87)) % 0.37/0.63 (step @p97 :rule bool-impl-elim :args (@t172 @t171)) % 0.37/0.63 (step @p98 :rule trans :premises (@p97 @p96)) % 0.37/0.63 (step @p99 :rule cong :premises (@p98) :args ((forall @t82 (=> @t172 @t171)))) % 0.37/0.63 (step @p100 :rule trans :premises (@p99 @p86)) % 0.37/0.63 (step @p101 :rule quant-merge-prenex :args ((= (forall @t32 @t174) @t168))) % 0.37/0.63 (step @p102 :rule alpha_equiv :args (@t175 (@list @t149 @t148) (@list @t12 @t11))) % 0.37/0.63 (step @p103 :rule quant-unused-vars :args ((= @t176 @t152))) % 0.37/0.63 (step @p104 :rule quant-unused-vars :args ((= @t177 @t154))) % 0.37/0.63 (step @p105 :rule quant-unused-vars :args ((= @t178 @t155))) % 0.37/0.63 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103 @p102) :args (@t179)) % 0.37/0.63 (step @p107 :rule quant-miniscope-and :args ((= @t180 @t179))) % 0.37/0.63 (step @p108 :rule trans :premises (@p107 @p106)) % 0.37/0.63 (step @p109 :rule refl :args (@t160)) % 0.37/0.63 (step @p110 :rule refl :args (@t163)) % 0.37/0.63 (step @p111 :rule refl :args (@t164)) % 0.37/0.63 (step @p112 :rule refl :args (@t166)) % 0.37/0.63 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110 @p109 @p108) :args (@t181)) % 0.37/0.63 (step @p114 :rule quant-miniscope-or :args ((= @t174 @t181))) % 0.37/0.63 (step @p115 :rule trans :premises (@p114 @p113)) % 0.37/0.63 (step @p116 :rule symm :premises (@p115)) % 0.37/0.63 (step @p117 :rule cong :premises (@p116) :args ((forall @t32 @t184))) % 0.37/0.63 (step @p118 :rule trans :premises (@p117 @p101)) % 0.37/0.63 (step @p119 :rule aci_norm :args ((= (or @t185 (or @t160 @t183)) @t184))) % 0.37/0.63 (step @p120 :rule bool-impl-elim :args (@t159 @t183)) % 0.37/0.63 (step @p121 :rule aci_norm :args ((= (or @t166 (or @t164 @t163)) @t185))) % 0.37/0.63 (step @p122 :rule bool-and-de-morgan :args (@t152 @t162 true)) % 0.37/0.63 (step @p123 :rule nary_cong :premises (@p112 @p122) :args ((or @t166 (not (and @t152 @t162))))) % 0.37/0.63 (step @p124 :rule bool-and-de-morgan :args (@t165 @t152 (and @t162))) % 0.37/0.63 (step @p125 :rule trans :premises (@p124 @p123)) % 0.37/0.63 (step @p126 :rule trans :premises (@p125 @p121)) % 0.37/0.63 (step @p127 :rule nary_cong :premises (@p126 @p120) :args ((or (not @t187) @t186))) % 0.37/0.63 (step @p128 :rule trans :premises (@p127 @p119)) % 0.37/0.63 (step @p129 :rule bool-impl-elim :args (@t187 @t186)) % 0.37/0.63 (step @p130 :rule trans :premises (@p129 @p128)) % 0.37/0.63 (step @p131 :rule cong :premises (@p130) :args ((forall @t32 (=> @t187 @t186)))) % 0.37/0.63 (step @p132 :rule trans :premises (@p131 @p118)) % 0.37/0.63 (step @p133 :rule aci_norm :args ((= (or @t189 @t188) @t182))) % 0.37/0.63 (step @p134 :rule aci_norm :args ((= (or @t190 @t50) @t188))) % 0.37/0.63 (step @p135 :rule refl :args (@t50)) % 0.37/0.63 (step @p136 :rule bool-double-not-elim :args (@t99)) % 0.37/0.63 (step @p137 :rule refl :args (@t101)) % 0.37/0.63 (step @p138 :rule nary_cong :premises (@p137 @p136) :args ((or @t101 (not @t191)))) % 0.37/0.63 (step @p139 :rule bool-and-de-morgan :args (@t100 @t191 true)) % 0.37/0.63 (step @p140 :rule trans :premises (@p139 @p138)) % 0.37/0.63 (step @p141 :rule nary_cong :premises (@p140 @p135) :args ((or @t193 @t50))) % 0.37/0.63 (step @p142 :rule trans :premises (@p141 @p134)) % 0.37/0.63 (step @p143 :rule bool-impl-elim :args (@t192 @t50)) % 0.37/0.63 (step @p144 :rule trans :premises (@p143 @p142)) % 0.37/0.63 (step @p145 :rule bool-double-not-elim :args (@t103)) % 0.37/0.63 (step @p146 :rule refl :args (@t105)) % 0.37/0.63 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or @t105 (not @t194)))) % 0.37/0.63 (step @p148 :rule bool-and-de-morgan :args (@t104 @t194 true)) % 0.37/0.63 (step @p149 :rule trans :premises (@p148 @p147)) % 0.37/0.63 (step @p150 :rule nary_cong :premises (@p149 @p144) :args ((or @t197 @t195))) % 0.37/0.63 (step @p151 :rule trans :premises (@p150 @p133)) % 0.37/0.63 (step @p152 :rule bool-impl-elim :args (@t196 @t195)) % 0.37/0.63 (step @p153 :rule trans :premises (@p152 @p151)) % 0.37/0.63 (step @p154 :rule cong :premises (@p153) :args ((forall @t30 (=> @t196 @t195)))) % 0.37/0.63 (step @p155 :rule refl :args (@t50)) % 0.37/0.63 (step @p156 :rule arith_poly_norm :args ((= (* 1 (- @t11 @t88)) (* 1 (- @t98 0))))) % 0.37/0.63 (step @p157 :rule arith_poly_norm_rel :premises (@p156) :args ((= (>= @t11 @t88) @t99))) % 0.37/0.63 (step @p158 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(@t270 @t245 (@list @t236))) % 0.37/0.63 (step @p412 :rule refl :args (@t271)) % 0.37/0.63 (step @p413 :rule bool-double-not-elim :args (@t264)) % 0.37/0.63 (step @p414 :rule nary_cong :premises (@p413 @p412) :args ((or (not @t270) @t271))) % 0.37/0.63 (step @p415 :rule bool-double-not-elim :args (@t271)) % 0.37/0.63 (step @p416 :rule evaluate :args (@t272)) % 0.37/0.63 (step @p417 :rule refl :args (@t207)) % 0.37/0.63 (step @p418 :rule cong :premises (@p417 @p416) :args (@t273)) % 0.37/0.63 (step @p419 :rule cong :premises (@p418) :args ((not @t273))) % 0.37/0.63 (step @p420 :rule arith-leq-norm :args (@t207 0)) % 0.37/0.63 (step @p421 :rule trans :premises (@p420 @p419)) % 0.37/0.63 (step @p422 :rule cong :premises (@p421) :args ((not (<= @t207 0)))) % 0.37/0.63 (step @p423 :rule trans :premises (@p422 @p415)) % 0.37/0.63 (step @p424 :rule arith-elim-leq :args (@t207 0)) % 0.37/0.63 (step @p425 :rule symm :premises (@p424)) % 0.37/0.63 (step @p426 :rule cong :premises (@p425) :args ((not (>= 0 @t207)))) % 0.37/0.63 (step @p427 :rule arith-elim-gt :args (@t207 0)) % 0.37/0.63 (step @p428 :rule trans :premises (@p427 @p426)) % 0.37/0.63 (step @p429 :rule trans :premises (@p428 @p423)) % 0.37/0.63 (step @p430 :rule refl :args (@t270)) % 0.37/0.63 (step @p431 :rule cong :premises (@p430 @p429) :args ((=> @t270 (> @t207 0)))) % 0.37/0.63 (step @p432 :rule arith_mult_sign :args (@t270 @t207)) % 0.37/0.63 (step @p433 :rule eq_resolve :premises (@p432 @p431)) % 0.37/0.63 (step @p434 :rule implies_elim :premises (@p433)) % 0.37/0.63 (step @p435 :rule eq_resolve :premises (@p434 @p414)) % 0.37/0.63 (step @p436 :rule chain_m_resolution :premises (@p435 @p411) :args (@t271 @t239 (@list @t264))) % 0.37/0.63 (step @p437 :rule refl :args (@t274)) % 0.37/0.63 (step @p438 :rule bool-double-not-elim :args (@t226)) % 0.37/0.63 (step @p439 :rule refl :args (@t233)) % 0.37/0.63 (step @p440 :rule nary_cong :premises (@p439 @p438 @p437) :args ((or @t233 (not @t263) @t274))) % 0.37/0.63 (assume-push @p525 @t263) % 0.37/0.63 (assume-push @p526 @t208) % 0.37/0.63 (assume-push @p527 @t271) % 0.37/0.63 (step @p444 :rule arith-elim-lt :args (@t207 1)) % 0.37/0.63 (step @p445 :rule symm :premises (@p444)) % 0.37/0.63 (assume-push @p528 @t271) % 0.37/0.63 (step @p447 :rule evaluate :args ((>= 0 0))) % 0.37/0.63 (step @p448 :rule evaluate :args ((+ -1 0 1))) % 0.37/0.63 (step @p449 :rule refl :args (1)) % 0.37/0.63 (step @p383 :rule evaluate :args (@t265)) % 0.37/0.63 (step @p450 :rule nary_cong :premises (@p383 @p226 @p449) :args (@t275)) % 0.37/0.63 (step @p451 :rule trans :premises (@p450 @p448)) % 0.37/0.63 (step @p452 :rule arith_poly_norm :args ((= @t277 0))) % 0.37/0.63 (step @p453 :rule arith_poly_norm :args ((= @t279 @t277))) % 0.37/0.63 (step @p454 :rule trans :premises (@p453 @p452)) % 0.37/0.63 (step @p455 :rule cong :premises (@p454 @p451) :args (@t280)) % 0.37/0.63 (step @p456 :rule trans :premises (@p455 @p447)) % 0.37/0.63 (step @p457 :rule cong :premises (@p456) :args ((not @t280))) % 0.37/0.63 (step @p458 :rule trans :premises (@p457 @p40)) % 0.37/0.63 (step @p459 :rule arith-elim-lt :args (@t279 @t275)) % 0.37/0.63 (step @p460 :rule trans :premises (@p459 @p458)) % 0.37/0.63 (step @p461 :rule arith-elim-lt :args (@t205 1)) % 0.37/0.63 (step @p462 :rule symm :premises (@p461)) % 0.37/0.63 (step @p463 :rule eq_resolve :premises (@p525 @p462)) % 0.37/0.63 (step @p464 :rule arith_poly_norm :args ((= (* -1 (- @t278 0)) (* -1 (- @t207 @t205))))) % 0.37/0.63 (step @p465 :rule arith_poly_norm_rel :premises (@p464) :args ((= (= @t278 0) @t208))) % 0.37/0.63 (step @p466 :rule symm :premises (@p465)) % 0.37/0.63 (step @p467 :rule eq_resolve :premises (@p246 @p466)) % 0.37/0.63 (step @p468 :rule arith_mult_neg :args (-1 @t271)) % 0.37/0.63 (step @p390 :rule evaluate :args (@t268)) % 0.37/0.63 (step @p391 :rule true_elim :premises (@p390)) % 0.37/0.63 (step @p469 :rule and_intro :premises (@p391 @p527)) % 0.37/0.63 (step @p470 :rule modus_ponens :premises (@p469 @p468)) % 0.37/0.63 (step @p471 :rule arith_sum_ub :premises (@p470 @p467 @p463)) % 0.37/0.63 (step @p472 false :rule eq_resolve :premises (@p471 @p460)) % 0.37/0.63 (step-pop @p529 :rule scope :premises (@p472)) % 0.37/0.63 (step @p473 :rule process_scope :premises (@p529) :args (false)) % 0.37/0.63 (step @p475 :rule eq_resolve :premises (@p473 @p445)) % 0.37/0.63 (step @p476 :rule eq_resolve :premises (@p475 @p444)) % 0.37/0.63 (step @p477 false :rule contra :premises (@p527 @p476)) % 0.37/0.63 (step-pop @p530 :rule scope :premises (@p477)) % 0.37/0.63 (step-pop @p531 :rule scope :premises (@p530)) % 0.37/0.63 (step-pop @p532 :rule scope :premises (@p531)) % 0.37/0.63 (step @p478 :rule process_scope :premises (@p532) :args (false)) % 0.37/0.63 (assume-push @p533 @t208) % 0.37/0.63 (assume-push @p534 @t263) % 0.37/0.63 (assume-push @p535 @t271) % 0.37/0.63 (step @p485 :rule and_intro :premises (@p534 @p246 @p535)) % 0.37/0.63 (step-pop @p536 :rule scope :premises (@p485)) % 0.37/0.63 (step-pop @p537 :rule scope :premises (@p536)) % 0.37/0.63 (step-pop @p538 :rule scope :premises (@p537)) % 0.37/0.63 (step @p486 :rule process_scope :premises (@p538) :args (@t281)) % 0.37/0.63 (step @p490 :rule implies_elim :premises (@p486)) % 0.37/0.63 (step @p491 :rule resolution :premises (@p490 @p478) :args (true @t281)) % 0.37/0.63 (step @p492 :rule not_and :premises (@p491)) % 0.37/0.63 (step @p493 :rule eq_resolve :premises (@p492 @p440)) % 0.37/0.63 (step @p494 false :rule chain_m_resolution :premises (@p493 @p436 @p371 @p246) :args (false (@list false true false) (@list @t271 @t226 @t208))) % 0.37/0.63 ) % 0.37/0.63 % SZS output end Proof % 0.37/0.63 % cvc5 exiting %------------------------------------------------------------------------------