%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW632_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 09:05:22 AM UTC 2026 % Result : Theorem 0.45s 0.65s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW632_2 : TPTP v9.2.1. Released v6.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 22:20:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_ARI % 0.45/0.65 --- Run --finite-model-find --decision=internal at 45... % 0.45/0.65 % SZS status Theorem % 0.45/0.65 % SZS output start Proof % 0.45/0.65 ( % 0.45/0.65 (declare-sort tptp.tuple0 0) % 0.45/0.65 (declare-sort tptp.bool 0) % 0.45/0.65 (declare-sort tptp.ty 0) % 0.45/0.65 (declare-sort tptp.uni 0) % 0.45/0.65 (declare-const tptp.ref (-> tptp.ty tptp.ty)) % 0.45/0.65 (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni)) % 0.45/0.65 (declare-const tptp.mod (-> Int Int Int)) % 0.45/0.65 (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni)) % 0.45/0.65 (declare-const tptp.abs (-> Int Int)) % 0.45/0.65 (declare-const tptp.power (-> Int Int Int)) % 0.45/0.65 (declare-const tptp.false tptp.bool) % 0.45/0.65 (declare-const tptp.true tptp.bool) % 0.45/0.65 (declare-const tptp.match_bool (-> tptp.ty tptp.bool tptp.uni tptp.uni tptp.uni)) % 0.45/0.65 (declare-const tptp.sort (-> tptp.ty tptp.uni Bool)) % 0.45/0.65 (declare-const tptp.div (-> Int Int Int)) % 0.45/0.65 (declare-const tptp.tuple02 tptp.tuple0) % 0.45/0.65 (declare-const tptp.witness (-> tptp.ty tptp.uni)) % 0.45/0.65 (define @t1 () (@var "A" tptp.ty)) % 0.45/0.65 (define @t2 () (@var "X2" tptp.uni)) % 0.45/0.65 (define @t3 () (@var "X1" tptp.uni)) % 0.45/0.65 (define @t4 () (@var "X" tptp.bool)) % 0.45/0.65 (define @t5 () (@var "Z" tptp.uni)) % 0.45/0.65 (define @t6 () (@var "Z1" tptp.uni)) % 0.45/0.65 (define @t7 () (@list @t1 @t5 @t6)) % 0.45/0.65 (define @t8 () (@var "U" tptp.bool)) % 0.45/0.65 (define @t9 () (@var "U" tptp.tuple0)) % 0.45/0.65 (define @t10 () (@var "Z" Int)) % 0.45/0.65 (define @t11 () (@var "Y" Int)) % 0.45/0.65 (define @t12 () (@var "X" Int)) % 0.45/0.65 (define @t13 () (<= 0 @t10)) % 0.45/0.65 (define @t14 () (<= @t12 @t11)) % 0.45/0.65 (define @t15 () (@list @t12 @t11 @t10)) % 0.45/0.65 (define @t16 () (@list @t12)) % 0.45/0.65 (define @t17 () (@var "N" Int)) % 0.45/0.65 (define @t18 () (tptp.power @t12 @t17)) % 0.45/0.65 (define @t19 () (<= 0 @t17)) % 0.45/0.65 (define @t20 () (@list @t12 @t17)) % 0.45/0.65 (define @t21 () (@var "M" Int)) % 0.45/0.65 (define @t22 () (<= 0 @t21)) % 0.45/0.65 (define @t23 () (@list @t12 @t17 @t21)) % 0.45/0.65 (define @t24 () (* @t12 @t11)) % 0.45/0.65 (define @t25 () (tptp.abs @t12)) % 0.45/0.65 (define @t26 () (<= 0 @t12)) % 0.45/0.65 (define @t27 () (@list @t12 @t11)) % 0.45/0.65 (define @t28 () (tptp.mod @t12 @t11)) % 0.45/0.65 (define @t29 () (tptp.div @t12 @t11)) % 0.45/0.65 (define @t30 () (not (= @t11 0))) % 0.45/0.65 (define @t31 () (<= 0 @t29)) % 0.45/0.65 (define @t32 () (< 0 @t11)) % 0.45/0.65 (define @t33 () (and @t26 @t32)) % 0.45/0.65 (define @t34 () (tptp.abs @t11)) % 0.45/0.65 (define @t35 () (<= @t12 0)) % 0.45/0.65 (define @t36 () (and @t26 (< @t12 @t11))) % 0.45/0.65 (define @t37 () (+ @t24 @t10)) % 0.45/0.65 (define @t38 () (and (< 0 @t12) (<= 0 @t11) @t13)) % 0.45/0.65 (define @t39 () (@var "X" tptp.uni)) % 0.45/0.65 (define @t40 () (tptp.ref @t1)) % 0.45/0.65 (define @t41 () (@list @t1 @t39)) % 0.45/0.65 (define @t42 () (@var "U" tptp.uni)) % 0.45/0.65 (define @t43 () (@list @t1 @t42)) % 0.45/0.65 (define @t44 () (@var "R" Int)) % 0.45/0.65 (define @t45 () (= @t44 @t18)) % 0.45/0.65 (define @t46 () (@var "E" Int)) % 0.45/0.65 (define @t47 () (not (< 0 @t46))) % 0.45/0.65 (define @t48 () (=> @t47 @t45)) % 0.45/0.65 (define @t49 () (@var "P" Int)) % 0.45/0.65 (define @t50 () (tptp.power @t49 @t46)) % 0.45/0.65 (define @t51 () (* @t44 @t50)) % 0.45/0.65 (define @t52 () (= @t51 @t18)) % 0.45/0.65 (define @t53 () (and (<= 0 @t46) @t52)) % 0.45/0.65 (define @t54 () (=> @t53 @t48)) % 0.45/0.65 (define @t55 () (@list @t46 @t49 @t44)) % 0.45/0.65 (define @t56 () (forall @t55 @t54)) % 0.45/0.65 (define @t57 () (=> @t19 @t56)) % 0.45/0.65 (define @t58 () (forall @t20 @t57)) % 0.45/0.65 (define @t59 () (not @t58)) % 0.45/0.65 (define @t60 () (@var "BOUND_VARIABLE_8022" Int)) % 0.45/0.65 (define @t61 () (= @t60 @t18)) % 0.45/0.65 (define @t62 () (@var "BOUND_VARIABLE_8018" Int)) % 0.45/0.65 (define @t63 () (>= @t62 1)) % 0.45/0.65 (define @t64 () (@var "BOUND_VARIABLE_8020" Int)) % 0.45/0.65 (define @t65 () (not (= @t18 (* @t60 (tptp.power @t64 @t62))))) % 0.45/0.65 (define @t66 () (not (>= @t62 0))) % 0.45/0.65 (define @t67 () (>= @t17 0)) % 0.45/0.65 (define @t68 () (not @t67)) % 0.45/0.65 (define @t69 () (or @t68 @t66 @t65 @t63 @t61)) % 0.45/0.65 (define @t70 () (@list @t12 @t17 @t62 @t64 @t60)) % 0.45/0.65 (define @t71 () (forall @t70 @t69)) % 0.45/0.65 (define @t72 () (@quantifiers_skolemize @t71 3)) % 0.45/0.65 (define @t73 () (or @t66 @t65 @t63 @t61)) % 0.45/0.65 (define @t74 () (or @t68 @t73)) % 0.45/0.65 (define @t75 () (forall @t70 @t74)) % 0.45/0.65 (define @t76 () (@list @t62 @t64 @t60)) % 0.45/0.65 (define @t77 () (forall @t76 @t74)) % 0.45/0.65 (define @t78 () (forall @t76 @t73)) % 0.45/0.65 (define @t79 () (or @t68 @t78)) % 0.45/0.65 (define @t80 () (>= @t46 1)) % 0.45/0.65 (define @t81 () (* @t44 @t50)) % 0.45/0.65 (define @t82 () (= @t18 @t81)) % 0.45/0.65 (define @t83 () (not @t82)) % 0.45/0.65 (define @t84 () (>= @t46 0)) % 0.45/0.65 (define @t85 () (not @t84)) % 0.45/0.65 (define @t86 () (or @t85 @t83 @t80 @t45)) % 0.45/0.65 (define @t87 () (forall @t55 @t86)) % 0.45/0.65 (define @t88 () (not @t80)) % 0.45/0.65 (define @t89 () (=> @t88 @t45)) % 0.45/0.65 (define @t90 () (and @t84 @t82)) % 0.45/0.65 (define @t91 () (+ @t46 1)) % 0.45/0.65 (define @t92 () (>= 0 @t46)) % 0.45/0.65 (define @t93 () (@quantifiers_skolemize @t71 1)) % 0.45/0.65 (define @t94 () (tptp.power (@quantifiers_skolemize @t71 0) @t93)) % 0.45/0.65 (define @t95 () (@quantifiers_skolemize @t71 4)) % 0.45/0.65 (define @t96 () (= @t95 @t94)) % 0.45/0.65 (define @t97 () (@quantifiers_skolemize @t71 2)) % 0.45/0.65 (define @t98 () (>= @t97 1)) % 0.45/0.65 (define @t99 () (tptp.power @t72 @t97)) % 0.45/0.65 (define @t100 () (* @t95 @t99)) % 0.45/0.65 (define @t101 () (= @t94 @t100)) % 0.45/0.65 (define @t102 () (not @t101)) % 0.45/0.65 (define @t103 () (>= @t97 0)) % 0.45/0.65 (define @t104 () (not @t103)) % 0.45/0.65 (define @t105 () (or (not (>= @t93 0)) @t104 @t102 @t98 @t96)) % 0.45/0.65 (define @t106 () (not @t98)) % 0.45/0.65 (define @t107 () (@list true)) % 0.45/0.65 (define @t108 () (@list @t105)) % 0.45/0.65 (define @t109 () (= @t99 1)) % 0.45/0.65 (define @t110 () (tptp.power @t72 0)) % 0.45/0.65 (define @t111 () (= @t110 1)) % 0.45/0.65 (define @t112 () (not @t111)) % 0.45/0.65 (define @t113 () (not @t106)) % 0.45/0.65 (define @t114 () (= @t99 @t110)) % 0.45/0.65 (define @t115 () (= 0 @t97)) % 0.45/0.65 (define @t116 () (and @t103 @t106 @t111)) % 0.45/0.65 (define @t117 () (@list false true false)) % 0.45/0.65 (define @t118 () (@list @t103 @t98 @t111)) % 0.45/0.65 (define @t119 () (or @t109 (= @t99 -1))) % 0.45/0.65 (define @t120 () (@list false)) % 0.45/0.65 (define @t121 () (* -1 @t100)) % 0.45/0.65 (define @t122 () (* 1 (- @t95 @t121))) % 0.45/0.65 (define @t123 () (* -1 @t95)) % 0.45/0.65 (define @t124 () (= @t95 @t121)) % 0.45/0.65 (define @t125 () (- @t95)) % 0.45/0.65 (define @t126 () (= @t100 @t125)) % 0.45/0.65 (define @t127 () (= @t95 @t100)) % 0.45/0.65 (define @t128 () (= @t100 @t95)) % 0.45/0.65 (define @t129 () (or @t128 @t126)) % 0.45/0.65 (define @t130 () (- 1)) % 0.45/0.65 (define @t131 () (= @t99 @t130)) % 0.45/0.65 (define @t132 () (or @t109 @t131)) % 0.45/0.65 (define @t133 () (* 1 @t95)) % 0.45/0.65 (define @t134 () (abs @t133)) % 0.45/0.65 (define @t135 () (* @t99 @t95)) % 0.45/0.65 (define @t136 () (abs @t135)) % 0.45/0.65 (define @t137 () (or @t127 @t124)) % 0.45/0.65 (define @t138 () (not @t96)) % 0.45/0.65 (define @t139 () (@list true false)) % 0.45/0.65 (define @t140 () (>= @t95 0)) % 0.45/0.65 (define @t141 () (+ 0 1)) % 0.45/0.65 (define @t142 () (>= @t95 @t141)) % 0.45/0.65 (define @t143 () (<= @t95 0)) % 0.45/0.65 (define @t144 () (not @t140)) % 0.45/0.65 (define @t145 () (not @t144)) % 0.45/0.65 (define @t146 () (not @t143)) % 0.45/0.65 (define @t147 () (not true)) % 0.45/0.65 (define @t148 () (>= 0 0)) % 0.45/0.65 (define @t149 () (* -1 0)) % 0.45/0.65 (define @t150 () (+ @t149 0)) % 0.45/0.65 (define @t151 () (+ @t123 @t95)) % 0.45/0.65 (define @t152 () (>= @t151 @t150)) % 0.45/0.65 (define @t153 () (> @t95 0)) % 0.45/0.65 (define @t154 () (>= @t95 1)) % 0.45/0.65 (define @t155 () (not (>= 0 @t95))) % 0.45/0.65 (define @t156 () (< -1 0)) % 0.45/0.65 (define @t157 () (not @t154)) % 0.45/0.65 (define @t158 () (>= @t99 1)) % 0.45/0.65 (define @t159 () (not @t158)) % 0.45/0.65 (define @t160 () (= 1 @t99)) % 0.45/0.65 (define @t161 () (>= @t99 @t141)) % 0.45/0.65 (define @t162 () (not @t161)) % 0.45/0.65 (define @t163 () (<= @t99 0)) % 0.45/0.65 (define @t164 () (not @t163)) % 0.45/0.65 (define @t165 () (not (>= 0 @t99))) % 0.45/0.65 (define @t166 () (> @t99 0)) % 0.45/0.65 (define @t167 () (<= 0 -1)) % 0.45/0.65 (define @t168 () (* -1 1)) % 0.45/0.65 (define @t169 () (+ 0 @t168)) % 0.45/0.65 (define @t170 () (+ @t99 (* -1 @t99))) % 0.45/0.65 (define @t171 () (and @t159 @t160)) % 0.45/0.65 (define @t172 () (and @t154 @t158)) % 0.45/0.65 (define @t173 () (>= @t100 1)) % 0.45/0.65 (define @t174 () (>= @t100 @t141)) % 0.45/0.65 (define @t175 () (and @t153 @t166)) % 0.45/0.65 (define @t176 () (+ @t168 0 @t149)) % 0.45/0.65 (define @t177 () (+ @t123 @t121 @t100 @t95)) % 0.45/0.65 (define @t178 () (+ @t95 @t100)) % 0.45/0.65 (define @t179 () (+ @t121 @t178 @t123)) % 0.45/0.65 (define @t180 () (= (* 1 (- @t178 0)) @t122)) % 0.45/0.65 (define @t181 () (= @t178 0)) % 0.45/0.65 (define @t182 () (= @t181 @t124)) % 0.45/0.65 (define @t183 () (and @t140 @t124 @t173)) % 0.45/0.65 (define @t184 () (= @t95 0)) % 0.45/0.65 (define @t185 () (not @t157)) % 0.45/0.65 (define @t186 () (and @t140 @t157)) % 0.45/0.65 (define @t187 () (= (* 0 @t99) 0)) % 0.45/0.65 (define @t188 () (= @t100 0)) % 0.45/0.65 (define @t189 () (not @t188)) % 0.45/0.65 (define @t190 () (and @t184 @t188 @t101 @t138)) % 0.45/0.65 (define @t191 () (and @t144 @t158)) % 0.45/0.65 (define @t192 () (and (< @t95 0) @t166)) % 0.45/0.65 (define @t193 () (>= @t100 0)) % 0.45/0.65 (define @t194 () (not @t193)) % 0.45/0.65 (define @t195 () (not @t124)) % 0.45/0.65 (define @t196 () (+ -1 1)) % 0.45/0.65 (define @t197 () (>= @t100 @t196)) % 0.45/0.65 (define @t198 () (<= @t100 -1)) % 0.45/0.65 (define @t199 () (+ -1 @t149 1)) % 0.45/0.65 (define @t200 () (+ @t123 @t121)) % 0.45/0.65 (define @t201 () (* -1 @t178)) % 0.45/0.65 (define @t202 () (+ @t100 @t201 @t95)) % 0.45/0.65 (define @t203 () (>= @t202 @t199)) % 0.45/0.65 (define @t204 () (and @t157 @t124 @t194)) % 0.45/0.65 (assume @p1 (forall (@list @t1) (tptp.sort @t1 (tptp.witness @t1)))) % 0.45/0.65 (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort @t1 (tptp.match_bool @t1 @t4 @t3 @t2)))) % 0.45/0.65 (assume @p3 (forall @t7 (=> (tptp.sort @t1 @t5) (= (tptp.match_bool @t1 tptp.true @t5 @t6) @t5)))) % 0.45/0.65 (assume @p4 (forall @t7 (=> (tptp.sort @t1 @t6) (= (tptp.match_bool @t1 tptp.false @t5 @t6) @t6)))) % 0.45/0.65 (assume @p5 (not (= tptp.true tptp.false))) % 0.45/0.65 (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true) (= @t8 tptp.false)))) % 0.45/0.65 (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple02))) % 0.45/0.65 (assume @p8 (forall @t15 (=> @t14 (=> @t13 (<= (* @t12 @t10) (* @t11 @t10)))))) % 0.45/0.65 (assume @p9 (forall @t16 (= (tptp.power @t12 0) 1))) % 0.45/0.65 (assume @p10 (forall @t20 (=> @t19 (= (tptp.power @t12 (+ @t17 1)) (* @t12 @t18))))) % 0.45/0.65 (assume @p11 (forall @t20 (=> (< 0 @t17) (= @t18 (* @t12 (tptp.power @t12 (- @t17 1))))))) % 0.45/0.65 (assume @p12 (forall @t16 (= (tptp.power @t12 1) @t12))) % 0.45/0.65 (assume @p13 (forall @t23 (=> @t19 (=> @t22 (= (tptp.power @t12 (+ @t17 @t21)) (* @t18 (tptp.power @t12 @t21))))))) % 0.45/0.65 (assume @p14 (forall @t23 (=> @t19 (=> @t22 (= (tptp.power @t12 (* @t17 @t21)) (tptp.power @t18 @t21)))))) % 0.45/0.65 (assume @p15 (forall (@list @t12 @t11 @t17) (=> @t19 (= (tptp.power @t24 @t17) (* @t18 (tptp.power @t11 @t17)))))) % 0.45/0.65 (assume @p16 (forall @t16 (and (=> @t26 (= @t25 @t12)) (=> (not @t26) (= @t25 (- @t12)))))) % 0.45/0.65 (assume @p17 (forall @t27 (= (<= @t25 @t11) (and (<= (- @t11) @t12) @t14)))) % 0.45/0.65 (assume @p18 (forall @t16 (<= 0 @t25))) % 0.45/0.65 (assume @p19 (forall @t27 (=> @t30 (= @t12 (+ (* @t11 @t29) @t28))))) % 0.45/0.65 (assume @p20 (forall @t27 (=> @t33 (and @t31 (<= @t29 @t12))))) % 0.45/0.65 (assume @p21 (forall @t27 (=> @t30 (and (< (- @t34) @t28) (< @t28 @t34))))) % 0.45/0.65 (assume @p22 (forall @t27 (=> @t33 @t31))) % 0.45/0.65 (assume @p23 (forall @t27 (=> (and @t35 @t32) (<= @t29 0)))) % 0.45/0.65 (assume @p24 (forall @t27 (=> (and @t26 @t30) (<= 0 @t28)))) % 0.45/0.65 (assume @p25 (forall @t27 (=> (and @t35 @t30) (<= @t28 0)))) % 0.45/0.65 (assume @p26 (forall @t27 (=> @t30 (<= (tptp.abs (* @t29 @t11)) @t25)))) % 0.45/0.65 (assume @p27 (forall @t16 (= (tptp.div @t12 1) @t12))) % 0.45/0.65 (assume @p28 (forall @t16 (= (tptp.mod @t12 1) 0))) % 0.45/0.65 (assume @p29 (forall @t27 (=> @t36 (= @t29 0)))) % 0.45/0.65 (assume @p30 (forall @t27 (=> @t36 (= @t28 @t12)))) % 0.45/0.65 (assume @p31 (forall @t15 (=> @t38 (= (tptp.div @t37 @t12) (+ @t11 (tptp.div @t10 @t12)))))) % 0.45/0.65 (assume @p32 (forall @t15 (=> @t38 (= (tptp.mod @t37 @t12) (tptp.mod @t10 @t12))))) % 0.45/0.65 (assume @p33 (forall @t41 (tptp.sort @t40 (tptp.mk_ref @t1 @t39)))) % 0.45/0.65 (assume @p34 (forall @t41 (tptp.sort @t1 (tptp.contents @t1 @t39)))) % 0.45/0.65 (assume @p35 (forall @t43 (=> (tptp.sort @t1 @t42) (= (tptp.contents @t1 (tptp.mk_ref @t1 @t42)) @t42)))) % 0.45/0.65 (assume @p36 (forall @t43 (=> (tptp.sort @t40 @t42) (= @t42 (tptp.mk_ref @t1 (tptp.contents @t1 @t42)))))) % 0.45/0.65 (assume @p37 @t59) % 0.45/0.65 (assume @p38 true) % 0.45/0.65 (step @p39 :rule instantiate :premises (@p9) :args ((@list @t72))) % 0.45/0.65 (step @p40 :rule aci_norm :args ((= @t74 @t69))) % 0.45/0.65 (step @p41 :rule cong :premises (@p40) :args (@t75)) % 0.45/0.65 (step @p42 :rule quant-merge-prenex :args ((= (forall @t20 @t77) @t75))) % 0.45/0.65 (step @p43 :rule alpha_equiv :args (@t78 (@list @t62 @t64 @t60) (@list @t46 @t49 @t44))) % 0.45/0.65 (step @p44 :rule refl :args (@t68)) % 0.45/0.65 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t79)) % 0.45/0.65 (step @p46 :rule quant-miniscope-or :args ((= @t77 @t79))) % 0.45/0.65 (step @p47 :rule trans :premises (@p46 @p45)) % 0.45/0.65 (step @p48 :rule symm :premises (@p47)) % 0.45/0.65 (step @p49 :rule cong :premises (@p48) :args ((forall @t20 (or @t68 @t87)))) % 0.45/0.65 (step @p50 :rule trans :premises (@p49 @p42)) % 0.45/0.65 (step @p51 :rule trans :premises (@p50 @p41)) % 0.45/0.65 (step @p52 :rule bool-impl-elim :args (@t67 @t87)) % 0.45/0.65 (step @p53 :rule cong :premises (@p52) :args ((forall @t20 (=> @t67 @t87)))) % 0.45/0.65 (step @p54 :rule trans :premises (@p53 @p51)) % 0.45/0.65 (step @p55 :rule aci_norm :args ((= (or (or @t85 @t83) (or @t80 @t45)) @t86))) % 0.45/0.65 (step @p56 :rule refl :args (@t45)) % 0.45/0.65 (step @p57 :rule bool-double-not-elim :args (@t80)) % 0.45/0.65 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or (not @t88) @t45))) % 0.45/0.65 (step @p59 :rule bool-impl-elim :args (@t88 @t45)) % 0.45/0.65 (step @p60 :rule trans :premises (@p59 @p58)) % 0.45/0.65 (step @p61 :rule bool-and-de-morgan :args (@t84 @t82 true)) % 0.45/0.65 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or (not @t90) @t89))) 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0.45/0.65 (step @p501 :rule reordering :premises (@p500) :args ((or @t194 (not @t191)))) % 0.45/0.65 (step @p502 :rule chain_m_resolution :premises (@p501 @p494) :args (@t194 @t120 (@list @t191))) % 0.45/0.65 (step @p503 :rule refl :args (@t195)) % 0.45/0.65 (step @p504 :rule bool-double-not-elim :args (@t193)) % 0.45/0.65 (step @p505 :rule nary_cong :premises (@p504 @p232 @p503) :args ((or (not @t194) @t185 @t195))) % 0.45/0.65 (assume-push @p656 @t157) % 0.45/0.65 (assume-push @p657 @t124) % 0.45/0.65 (assume-push @p658 @t194) % 0.45/0.65 (step @p509 :rule arith-elim-leq :args (@t100 -1)) % 0.45/0.65 (step @p510 :rule symm :premises (@p509)) % 0.45/0.65 (step @p511 :rule cong :premises (@p510) :args ((not (>= -1 @t100)))) % 0.45/0.65 (step @p512 :rule arith-elim-gt :args (@t100 -1)) % 0.45/0.65 (step @p513 :rule trans :premises (@p512 @p511)) % 0.45/0.65 (step @p514 :rule evaluate :args (@t196)) % 0.45/0.65 (step @p515 :rule cong :premises (@p338 @p514) :args (@t197)) % 0.45/0.65 (step @p516 :rule cong :premises (@p515) :args ((not @t197))) % 0.45/0.65 (step @p517 :rule arith-leq-norm :args (@t100 -1)) % 0.45/0.65 (step @p518 :rule trans :premises (@p517 @p516)) % 0.45/0.65 (step @p519 :rule cong :premises (@p518) :args ((not @t198))) % 0.45/0.65 (step @p520 :rule trans :premises (@p519 @p504)) % 0.45/0.65 (step @p521 :rule trans :premises (@p513 @p520)) % 0.45/0.65 (step @p522 :rule symm :premises (@p521)) % 0.45/0.65 (step @p523 :rule trans :premises (@p520 @p522)) % 0.45/0.65 (assume-push @p659 @t198) % 0.45/0.65 (step @p214 :rule evaluate :args (@t147)) % 0.45/0.65 (step @p215 :rule evaluate :args (@t148)) % 0.45/0.65 (step @p525 :rule evaluate :args ((+ -1 0 1))) % 0.45/0.65 (step @p526 :rule refl :args (1)) % 0.45/0.65 (step @p218 :rule evaluate :args (@t149)) % 0.45/0.65 (step @p527 :rule refl :args (-1)) % 0.45/0.65 (step @p528 :rule nary_cong :premises (@p527 @p218 @p526) :args (@t199)) % 0.45/0.65 (step @p529 :rule trans :premises (@p528 @p525)) % 0.45/0.65 (step @p530 :rule arith_poly_norm :args ((= (+ @t100 @t200 @t95) 0))) % 0.45/0.65 (step @p531 :rule arith_poly_norm :args ((= @t201 @t200))) % 0.45/0.65 (step @p532 :rule nary_cong :premises (@p151 @p531 @p191) :args (@t202)) % 0.45/0.65 (step @p533 :rule trans :premises (@p532 @p530)) % 0.45/0.65 (step @p534 :rule cong :premises (@p533 @p529) :args (@t203)) % 0.45/0.65 (step @p535 :rule trans :premises (@p534 @p215)) % 0.45/0.65 (step @p536 :rule cong :premises (@p535) :args ((not @t203))) % 0.45/0.65 (step @p537 :rule trans :premises (@p536 @p214)) % 0.45/0.65 (step @p538 :rule arith-elim-lt :args (@t202 @t199)) % 0.45/0.65 (step @p539 :rule trans :premises (@p538 @p537)) % 0.45/0.65 (step @p411 :rule arith-elim-lt :args (@t95 1)) % 0.45/0.65 (step @p412 :rule symm :premises (@p411)) % 0.45/0.65 (step @p540 :rule eq_resolve :premises (@p656 @p412)) % 0.45/0.65 (step @p541 :rule arith_mult_neg :args (-1 @t181)) % 0.45/0.65 (step @p374 :rule arith_poly_norm :args (@t180)) % 0.45/0.65 (step @p375 :rule arith_poly_norm_rel :premises (@p374) :args (@t182)) % 0.45/0.65 (step @p376 :rule symm :premises (@p375)) % 0.45/0.65 (step @p542 :rule eq_resolve :premises (@p657 @p376)) % 0.45/0.65 (step @p244 :rule evaluate :args (@t156)) % 0.45/0.65 (step @p245 :rule true_elim :premises (@p244)) % 0.45/0.65 (step @p543 :rule and_intro :premises (@p245 @p542)) % 0.45/0.65 (step @p544 :rule modus_ponens :premises (@p543 @p541)) % 0.45/0.65 (step @p545 :rule arith_sum_ub :premises (@p659 @p544 @p540)) % 0.45/0.65 (step @p546 false :rule eq_resolve :premises (@p545 @p539)) % 0.45/0.65 (step-pop @p660 :rule scope :premises (@p546)) % 0.45/0.65 (step @p547 :rule process_scope :premises (@p660) :args (false)) % 0.45/0.65 (step @p549 :rule eq_resolve :premises (@p547 @p523)) % 0.45/0.65 (step @p550 :rule eq_resolve :premises (@p549 @p513)) % 0.45/0.65 (step @p551 :rule symm :premises (@p495)) % 0.45/0.65 (step @p552 :rule eq_resolve :premises (@p658 @p551)) % 0.45/0.65 (step @p553 :rule int_tight_ub :premises (@p552)) % 0.45/0.65 (step @p554 false :rule contra :premises (@p553 @p550)) % 0.45/0.65 (step-pop @p661 :rule scope :premises (@p554)) % 0.45/0.65 (step-pop @p662 :rule scope :premises (@p661)) % 0.45/0.65 (step-pop @p663 :rule scope :premises (@p662)) % 0.45/0.65 (step @p555 :rule process_scope :premises (@p663) :args (false)) % 0.45/0.65 (assume-push @p664 @t194) % 0.45/0.65 (assume-push @p665 @t157) % 0.45/0.65 (assume-push @p666 @t124) % 0.45/0.65 (step @p562 :rule and_intro :premises (@p665 @p666 @p664)) % 0.45/0.65 (step-pop @p667 :rule scope :premises (@p562)) % 0.45/0.65 (step-pop @p668 :rule scope :premises (@p667)) % 0.45/0.65 (step-pop @p669 :rule scope :premises (@p668)) % 0.45/0.65 (step @p563 :rule process_scope :premises (@p669) :args (@t204)) % 0.45/0.65 (step @p567 :rule implies_elim :premises (@p563)) % 0.45/0.65 (step @p568 :rule resolution :premises (@p567 @p555) :args (true @t204)) % 0.45/0.65 (step @p569 :rule not_and :premises (@p568)) % 0.45/0.65 (step @p570 :rule eq_resolve :premises (@p569 @p505)) % 0.45/0.65 (step @p571 false :rule chain_m_resolution :premises (@p570 @p502 @p403 @p197) :args (false (@list true true false) (@list @t193 @t154 @t124))) % 0.45/0.65 ) % 0.45/0.65 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------