%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC473_1 : TPTP v9.2.1. Released v9.0.0. % 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 08:59:19 AM UTC 2026 % Result : Theorem 0.41s 0.66s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC473_1 : TPTP v9.2.1. Released v9.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.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 19:49:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_ARI % 0.41/0.66 --- Run --finite-model-find --decision=internal at 45... % 0.41/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.41/0.66 % SZS status Theorem % 0.41/0.66 % SZS output start Proof % 0.41/0.66 ( % 0.41/0.66 (declare-const tptp.fast (-> Int Int)) % 0.41/0.66 (declare-const tptp.v0 (-> Int Int)) % 0.41/0.66 (declare-const tptp.u0 (-> Int Int Int)) % 0.41/0.66 (declare-const tptp.h0 (-> Int Int)) % 0.41/0.66 (declare-const tptp.g0 (-> Int Int)) % 0.41/0.66 (declare-const tptp.f0 Int) % 0.41/0.66 (declare-const |tptp.'mod:(Int*Int)>Int'| (-> Int Int Int)) % 0.41/0.66 (declare-const tptp.small (-> Int Int)) % 0.41/0.66 (define @t1 () (@var "X" Int)) % 0.41/0.66 (define @t2 () (* 0 @t1)) % 0.41/0.66 (define @t3 () (+ 1 (+ @t2 @t1))) % 0.41/0.66 (define @t4 () (tptp.small @t1)) % 0.41/0.66 (define @t5 () (= @t4 @t3)) % 0.41/0.66 (define @t6 () (|tptp.'mod:(Int*Int)>Int'| @t1 2)) % 0.41/0.66 (define @t7 () (<= @t6 0)) % 0.41/0.66 (define @t8 () (not @t7)) % 0.41/0.66 (define @t9 () (=> @t8 @t5)) % 0.41/0.66 (define @t10 () (* @t1 @t1)) % 0.41/0.66 (define @t11 () (+ 1 (+ @t10 @t1))) % 0.41/0.66 (define @t12 () (= @t4 @t11)) % 0.41/0.66 (define @t13 () (=> @t7 @t12)) % 0.41/0.66 (define @t14 () (and @t13 @t9)) % 0.41/0.66 (define @t15 () (@list @t1)) % 0.41/0.66 (define @t16 () (forall @t15 @t14)) % 0.41/0.66 (define @t17 () (= tptp.f0 0)) % 0.41/0.66 (define @t18 () (tptp.g0 @t1)) % 0.41/0.66 (define @t19 () (= @t18 @t6)) % 0.41/0.66 (define @t20 () (forall @t15 @t19)) % 0.41/0.66 (define @t21 () (tptp.h0 @t1)) % 0.41/0.66 (define @t22 () (= @t21 @t1)) % 0.41/0.66 (define @t23 () (forall @t15 @t22)) % 0.41/0.66 (define @t24 () (@var "Y" Int)) % 0.41/0.66 (define @t25 () (tptp.u0 @t1 @t24)) % 0.41/0.66 (define @t26 () (= @t25 tptp.f0)) % 0.41/0.66 (define @t27 () (<= @t1 0)) % 0.41/0.66 (define @t28 () (not @t27)) % 0.41/0.66 (define @t29 () (=> @t28 @t26)) % 0.41/0.66 (define @t30 () (= @t25 @t24)) % 0.41/0.66 (define @t31 () (=> @t27 @t30)) % 0.41/0.66 (define @t32 () (and @t31 @t29)) % 0.41/0.66 (define @t33 () (@list @t1 @t24)) % 0.41/0.66 (define @t34 () (forall @t33 @t32)) % 0.41/0.66 (define @t35 () (tptp.v0 @t1)) % 0.41/0.66 (define @t36 () (* @t35 @t1)) % 0.41/0.66 (define @t37 () (+ 1 (+ @t36 @t1))) % 0.41/0.66 (define @t38 () (tptp.fast @t1)) % 0.41/0.66 (define @t39 () (= @t38 @t37)) % 0.41/0.66 (define @t40 () (forall @t15 @t39)) % 0.41/0.66 (define @t41 () (@var "C" Int)) % 0.41/0.66 (define @t42 () (= (tptp.small @t41) (tptp.fast @t41))) % 0.41/0.66 (define @t43 () (not @t42)) % 0.41/0.66 (define @t44 () (>= @t41 0)) % 0.41/0.66 (define @t45 () (and @t44 @t43)) % 0.41/0.66 (define @t46 () (@list @t41)) % 0.41/0.66 (define @t47 () (exists @t46 @t45)) % 0.41/0.66 (define @t48 () (* @t1 @t35)) % 0.41/0.66 (define @t49 () (+ -1 @t38 (* -1 @t48))) % 0.41/0.66 (define @t50 () (+ 1 @t1 @t48)) % 0.41/0.66 (define @t51 () (+ @t36 @t1 1)) % 0.41/0.66 (define @t52 () (not @t44)) % 0.41/0.66 (define @t53 () (@quantifiers_skolemize (forall @t46 (or @t52 @t42)) 0)) % 0.41/0.66 (define @t54 () (@list @t53)) % 0.41/0.66 (define @t55 () (forall @t46 (not @t45))) % 0.41/0.66 (define @t56 () (not @t55)) % 0.41/0.66 (define @t57 () (tptp.fast @t53)) % 0.41/0.66 (define @t58 () (tptp.small @t53)) % 0.41/0.66 (define @t59 () (= @t58 @t57)) % 0.41/0.66 (define @t60 () (or (not (>= @t53 0)) @t59)) % 0.41/0.66 (define @t61 () (not @t59)) % 0.41/0.66 (define @t62 () (= tptp.f0 @t25)) % 0.41/0.66 (define @t63 () (>= @t1 1)) % 0.41/0.66 (define @t64 () (not @t63)) % 0.41/0.66 (define @t65 () (or @t64 @t62)) % 0.41/0.66 (define @t66 () (forall @t33 @t65)) % 0.41/0.66 (define @t67 () (@list @t1 @t24)) % 0.41/0.66 (define @t68 () (= @t24 @t25)) % 0.41/0.66 (define @t69 () (or @t63 @t68)) % 0.41/0.66 (define @t70 () (forall @t33 @t69)) % 0.41/0.66 (define @t71 () (and @t70 @t66)) % 0.41/0.66 (define @t72 () (and (=> @t64 @t68) (=> @t63 @t62))) % 0.41/0.66 (define @t73 () (+ 0 1)) % 0.41/0.66 (define @t74 () (>= @t1 @t73)) % 0.41/0.66 (define @t75 () (tptp.h0 @t53)) % 0.41/0.66 (define @t76 () (tptp.g0 @t53)) % 0.41/0.66 (define @t77 () (@list @t76 @t75)) % 0.41/0.66 (define @t78 () (tptp.u0 @t76 @t75)) % 0.41/0.66 (define @t79 () (= tptp.f0 @t78)) % 0.41/0.66 (define @t80 () (>= @t76 1)) % 0.41/0.66 (define @t81 () (not @t80)) % 0.41/0.66 (define @t82 () (or @t81 @t79)) % 0.41/0.66 (define @t83 () (|tptp.'mod:(Int*Int)>Int'| @t53 2)) % 0.41/0.66 (define @t84 () (>= @t83 1)) % 0.41/0.66 (define @t85 () (= @t83 @t76)) % 0.41/0.66 (define @t86 () (not @t85)) % 0.41/0.66 (define @t87 () (not @t84)) % 0.41/0.66 (define @t88 () (<= 0 -1)) % 0.41/0.66 (define @t89 () (* -1 0)) % 0.41/0.66 (define @t90 () (* -1 1)) % 0.41/0.66 (define @t91 () (+ @t90 @t89 0)) % 0.41/0.66 (define @t92 () (* -1 @t83)) % 0.41/0.66 (define @t93 () (+ @t92 @t76)) % 0.41/0.66 (define @t94 () (* -1 @t76)) % 0.41/0.66 (define @t95 () (+ @t83 @t94)) % 0.41/0.66 (define @t96 () (* -1 @t95)) % 0.41/0.66 (define @t97 () (+ @t94 @t96 @t83)) % 0.41/0.66 (define @t98 () (= @t95 0)) % 0.41/0.66 (define @t99 () (= (* 1 (- @t95 0)) (* 1 (- @t83 @t76)))) % 0.41/0.66 (define @t100 () (= @t98 @t85)) % 0.41/0.66 (define @t101 () (< -1 0)) % 0.41/0.66 (define @t102 () (+ -1 @t4)) % 0.41/0.66 (define @t103 () (= @t1 @t102)) % 0.41/0.66 (define @t104 () (>= @t6 1)) % 0.41/0.66 (define @t105 () (not @t104)) % 0.41/0.66 (define @t106 () (or @t105 @t103)) % 0.41/0.66 (define @t107 () (forall @t15 @t106)) % 0.41/0.66 (define @t108 () (@list @t1)) % 0.41/0.66 (define @t109 () (* @t1 @t1)) % 0.41/0.66 (define @t110 () (+ -1 @t4 (* -1 @t109))) % 0.41/0.66 (define @t111 () (= @t1 @t110)) % 0.41/0.66 (define @t112 () (or @t104 @t111)) % 0.41/0.66 (define @t113 () (forall @t15 @t112)) % 0.41/0.66 (define @t114 () (and @t113 @t107)) % 0.41/0.66 (define @t115 () (and (=> @t105 @t111) (=> @t104 @t103))) % 0.41/0.66 (define @t116 () (+ 1 @t1)) % 0.41/0.66 (define @t117 () (+ @t2 @t1 1)) % 0.41/0.66 (define @t118 () (>= @t6 @t73)) % 0.41/0.66 (define @t119 () (+ 1 @t1 @t109)) % 0.41/0.66 (define @t120 () (+ @t10 @t1 1)) % 0.41/0.66 (define @t121 () (+ -1 @t58)) % 0.41/0.66 (define @t122 () (= @t53 @t121)) % 0.41/0.66 (define @t123 () (or @t87 @t122)) % 0.41/0.66 (define @t124 () (tptp.v0 @t53)) % 0.41/0.66 (define @t125 () (* @t53 @t124)) % 0.41/0.66 (define @t126 () (>= @t125 1)) % 0.41/0.66 (define @t127 () (* -1 @t125)) % 0.41/0.66 (define @t128 () (+ -1 @t57 @t127)) % 0.41/0.66 (define @t129 () (= @t53 @t128)) % 0.41/0.66 (define @t130 () (not @t129)) % 0.41/0.66 (define @t131 () (* -1 @t57)) % 0.41/0.66 (define @t132 () (+ @t58 @t131)) % 0.41/0.66 (define @t133 () (>= @t132 0)) % 0.41/0.66 (define @t134 () (not @t122)) % 0.41/0.66 (define @t135 () (not @t126)) % 0.41/0.66 (define @t136 () (not @t133)) % 0.41/0.66 (define @t137 () (not @t136)) % 0.41/0.66 (define @t138 () (not true)) % 0.41/0.66 (define @t139 () (>= 0 0)) % 0.41/0.66 (define @t140 () (* -1 -1)) % 0.41/0.66 (define @t141 () (+ 1 -1 -1 @t140)) % 0.41/0.66 (define @t142 () (* -1 @t58)) % 0.41/0.66 (define @t143 () (* 0 @t53)) % 0.41/0.66 (define @t144 () (= @t143 0)) % 0.41/0.66 (define @t145 () (* 0 @t57)) % 0.41/0.66 (define @t146 () (= @t145 0)) % 0.41/0.66 (define @t147 () (* 0 @t125)) % 0.41/0.66 (define @t148 () (+ @t147 @t142 @t145 @t58 @t143)) % 0.41/0.66 (define @t149 () (+ @t53 @t131 @t125)) % 0.41/0.66 (define @t150 () (* -1 @t149)) % 0.41/0.66 (define @t151 () (+ @t53 @t142)) % 0.41/0.66 (define @t152 () (+ @t125 @t151 @t132 @t150)) % 0.41/0.66 (define @t153 () (>= @t152 @t141)) % 0.41/0.66 (define @t154 () (= @t149 -1)) % 0.41/0.66 (define @t155 () (= (* 1 (- @t149 -1)) (* 1 (- @t53 @t128)))) % 0.41/0.66 (define @t156 () (= @t154 @t129)) % 0.41/0.66 (define @t157 () (= (* 1 (- @t151 -1)) (* 1 (- @t53 @t121)))) % 0.41/0.66 (define @t158 () (= @t151 -1)) % 0.41/0.66 (define @t159 () (= @t158 @t122)) % 0.41/0.66 (define @t160 () (= @t125 0)) % 0.41/0.66 (define @t161 () (+ 0 @t90)) % 0.41/0.66 (define @t162 () (+ @t125 @t127)) % 0.41/0.66 (define @t163 () (not @t160)) % 0.41/0.66 (define @t164 () (= @t124 @t78)) % 0.41/0.66 (define @t165 () (= @t124 0)) % 0.41/0.66 (define @t166 () (and @t17 @t164 @t79)) % 0.41/0.66 (define @t167 () (not @t164)) % 0.41/0.66 (define @t168 () (= (* @t53 0) 0)) % 0.41/0.66 (define @t169 () (= @t75 @t78)) % 0.41/0.66 (define @t170 () (or @t80 @t169)) % 0.41/0.66 (define @t171 () (* @t53 @t53)) % 0.41/0.66 (define @t172 () (= @t171 @t125)) % 0.41/0.66 (define @t173 () (not @t169)) % 0.41/0.66 (define @t174 () (= @t53 @t75)) % 0.41/0.66 (define @t175 () (not @t174)) % 0.41/0.66 (define @t176 () (not @t172)) % 0.41/0.66 (define @t177 () (and @t176 @t164 @t169 @t174)) % 0.41/0.66 (define @t178 () (= true false)) % 0.41/0.66 (define @t179 () (+ -1 @t58 (* -1 @t171))) % 0.41/0.66 (define @t180 () (= @t53 @t179)) % 0.41/0.66 (define @t181 () (not @t180)) % 0.41/0.66 (define @t182 () (+ @t171 @t127)) % 0.41/0.66 (define @t183 () (= @t182 0)) % 0.41/0.66 (define @t184 () (+ @t89 0 @t140 -1)) % 0.41/0.66 (define @t185 () (* 0 @t171)) % 0.41/0.66 (define @t186 () (= @t185 0)) % 0.41/0.66 (define @t187 () (+ @t125 @t127 @t185 @t142 @t145 @t58 @t143)) % 0.41/0.66 (define @t188 () (+ @t53 @t142 @t171)) % 0.41/0.66 (define @t189 () (+ (* -1 @t182) @t132 @t150 @t188)) % 0.41/0.66 (define @t190 () (>= @t189 @t184)) % 0.41/0.66 (define @t191 () (= (* 1 (- @t188 -1)) (* 1 (- @t53 @t179)))) % 0.41/0.66 (define @t192 () (= @t188 -1)) % 0.41/0.66 (define @t193 () (= @t192 @t180)) % 0.41/0.66 (define @t194 () (= (* 1 (- @t182 0)) (* 1 (- @t171 @t125)))) % 0.41/0.66 (define @t195 () (= @t183 @t172)) % 0.41/0.66 (define @t196 () (and @t180 @t129 @t136 @t172)) % 0.41/0.66 (define @t197 () (or @t84 @t180)) % 0.41/0.66 (define @t198 () (+ @t90 1 0)) % 0.41/0.66 (define @t199 () (+ @t92 @t94 @t76 @t83)) % 0.41/0.66 (define @t200 () (+ @t92 @t76 @t95)) % 0.41/0.66 (define @t201 () (>= @t200 @t198)) % 0.41/0.66 (define @t202 () (and @t85 @t81 @t84)) % 0.41/0.66 (define @t203 () (>= @t132 1)) % 0.41/0.66 (define @t204 () (not @t203)) % 0.41/0.66 (define @t205 () (= @t132 0)) % 0.41/0.66 (define @t206 () (and @t61 @t204)) % 0.41/0.66 (define @t207 () (+ @t140 -1 @t89 @t90)) % 0.41/0.66 (define @t208 () (+ @t127 @t125 @t58 @t145 @t142 @t143)) % 0.41/0.66 (define @t209 () (* -1 @t132)) % 0.41/0.66 (define @t210 () (+ (* -1 @t151) @t149 @t127 @t209)) % 0.41/0.66 (define @t211 () (and @t203 @t160 @t129 @t122)) % 0.41/0.66 (define @t212 () (@list true false)) % 0.41/0.66 (define @t213 () (+ 0 @t90 -1 @t140)) % 0.41/0.66 (define @t214 () (+ @t127 @t125 @t185 @t58 @t145 @t142 @t143)) % 0.41/0.66 (define @t215 () (+ @t182 @t209 @t149 (* -1 @t188))) % 0.41/0.66 (define @t216 () (and @t180 @t129 @t203 @t172)) % 0.41/0.66 (assume @p1 @t16) % 0.41/0.66 (assume @p2 @t17) % 0.41/0.66 (assume @p3 @t20) % 0.41/0.66 (assume @p4 @t23) % 0.41/0.66 (assume @p5 @t34) % 0.41/0.66 (assume @p6 (forall @t15 (= @t35 (tptp.u0 @t18 @t21)))) % 0.41/0.66 (assume @p7 @t40) % 0.41/0.66 (assume @p8 (not (not @t47))) % 0.41/0.66 (assume @p9 true) % 0.41/0.66 (step @p10 :rule arith_poly_norm :args ((= (* 1 (- @t38 @t50)) (* -1 (- @t1 @t49))))) % 0.41/0.66 (step @p11 :rule arith_poly_norm_rel :premises (@p10) :args ((= (= @t38 @t50) (= @t1 @t49)))) % 0.41/0.66 (step @p12 :rule arith_poly_norm :args ((= (+ @t48 @t1 1) @t50))) % 0.41/0.66 (step @p13 :rule refl :args (1)) % 0.41/0.66 (step @p14 :rule refl :args (@t1)) % 0.41/0.66 (step @p15 :rule arith_poly_norm :args ((= @t36 @t48))) % 0.41/0.66 (step @p16 :rule nary_cong :premises (@p15 @p14 @p13) :args (@t51)) % 0.41/0.66 (step @p17 :rule trans :premises (@p16 @p12)) % 0.41/0.66 (step @p18 :rule arith_poly_norm :args ((= @t37 @t51))) % 0.41/0.66 (step @p19 :rule trans :premises (@p18 @p17)) % 0.41/0.66 (step @p20 :rule refl :args (@t38)) % 0.41/0.66 (step @p21 :rule cong :premises (@p20 @p19) :args (@t39)) % 0.41/0.66 (step @p22 :rule trans :premises (@p21 @p11)) % 0.41/0.66 (step @p23 :rule cong :premises (@p22) :args (@t40)) % 0.41/0.66 (step @p24 :rule eq_resolve :premises (@p7 @p23)) % 0.41/0.66 (step @p25 :rule instantiate :premises (@p24) :args (@t54)) % 0.41/0.66 (step @p26 :rule bool-double-not-elim :args (@t42)) % 0.41/0.66 (step @p27 :rule refl :args (@t52)) % 0.41/0.66 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t52 (not @t43)))) % 0.41/0.66 (step @p29 :rule bool-and-de-morgan :args (@t44 @t43 true)) % 0.41/0.66 (step @p30 :rule trans :premises (@p29 @p28)) % 0.41/0.66 (step @p31 :rule cong :premises (@p30) :args (@t55)) % 0.41/0.66 (step @p32 :rule cong :premises (@p31) :args (@t56)) % 0.41/0.66 (step @p33 :rule exists-elim :args ((= @t47 @t56))) % 0.41/0.66 (step @p34 :rule trans :premises (@p33 @p32)) % 0.41/0.66 (step @p35 :rule bool-double-not-elim :args (@t47)) % 0.41/0.66 (step @p36 :rule trans :premises (@p35 @p34)) % 0.41/0.66 (step @p37 :rule eq_resolve :premises (@p8 @p36)) % 0.41/0.66 (step @p38 :rule skolemize :premises (@p37)) % 0.41/0.66 (step @p39 :rule cnf_or_neg :args (@t60 1)) % 0.41/0.66 (step @p40 :rule chain_m_resolution :premises (@p39 @p38) :args (@t61 (@list true) (@list @t60))) % 0.41/0.66 (step @p41 :rule alpha_equiv :args (@t66 @t67 (@list (@var "BOUND_VARIABLE_7555" Int) (@var "BOUND_VARIABLE_7557" Int)))) % 0.41/0.66 (step @p42 :rule alpha_equiv :args (@t70 @t67 (@list (@var "BOUND_VARIABLE_7545" Int) (@var 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cong :premises (@p510 @p505) :args ((<= @t210 @t207))) % 0.41/0.66 (step @p512 :rule trans :premises (@p511 @p89)) % 0.41/0.66 (step @p513 :rule arith_mult_neg :args (-1 @t203)) % 0.41/0.66 (step @p113 :rule evaluate :args (@t101)) % 0.41/0.66 (step @p114 :rule true_elim :premises (@p113)) % 0.41/0.66 (step @p514 :rule and_intro :premises (@p114 @p687)) % 0.41/0.66 (step @p515 :rule modus_ponens :premises (@p514 @p513)) % 0.41/0.66 (step @p516 :rule arith_mult_neg :args (-1 @t160)) % 0.41/0.66 (step @p517 :rule and_intro :premises (@p114 @p688)) % 0.41/0.66 (step @p518 :rule modus_ponens :premises (@p517 @p516)) % 0.41/0.66 (step @p214 :rule arith_poly_norm :args (@t155)) % 0.41/0.66 (step @p215 :rule arith_poly_norm_rel :premises (@p214) :args (@t156)) % 0.41/0.66 (step @p216 :rule symm :premises (@p215)) % 0.41/0.66 (step @p217 :rule eq_resolve :premises (@p25 @p216)) % 0.41/0.66 (step @p519 :rule arith_mult_neg :args (-1 @t158)) % 0.41/0.66 (step @p520 :rule and_intro :premises (@p114 @p691)) % 0.41/0.66 (step @p521 :rule modus_ponens :premises (@p520 @p519)) % 0.41/0.66 (step @p522 :rule arith_sum_ub :premises (@p521 @p217 @p518 @p515)) % 0.41/0.66 (step @p523 false :rule eq_resolve :premises (@p522 @p512)) % 0.41/0.66 (step-pop @p692 :rule scope :premises (@p523)) % 0.41/0.66 (step @p524 :rule process_scope :premises (@p692) :args (false)) % 0.41/0.66 (step @p224 :rule arith_poly_norm :args (@t157)) % 0.41/0.66 (step @p225 :rule arith_poly_norm_rel :premises (@p224) :args (@t159)) % 0.41/0.66 (step @p226 :rule symm :premises (@p225)) % 0.41/0.66 (step @p526 :rule eq_resolve :premises (@p690 @p226)) % 0.41/0.66 (step @p527 false :rule contra :premises (@p526 @p524)) % 0.41/0.66 (step-pop @p693 :rule scope :premises (@p527)) % 0.41/0.66 (step-pop @p694 :rule scope :premises (@p693)) % 0.41/0.66 (step-pop @p695 :rule scope :premises (@p694)) % 0.41/0.66 (step-pop @p696 :rule scope :premises (@p695)) % 0.41/0.66 (step @p528 :rule process_scope :premises (@p696) :args (false)) % 0.41/0.66 (assume-push @p697 @t203) % 0.41/0.66 (assume-push @p698 @t122) % 0.41/0.66 (assume-push @p699 @t129) % 0.41/0.66 (assume-push @p700 @t160) % 0.41/0.66 (step @p537 :rule and_intro :premises (@p697 @p700 @p25 @p698)) % 0.41/0.66 (step-pop @p701 :rule scope :premises (@p537)) % 0.41/0.66 (step-pop @p702 :rule scope :premises (@p701)) % 0.41/0.66 (step-pop @p703 :rule scope :premises (@p702)) % 0.41/0.66 (step-pop @p704 :rule scope :premises (@p703)) % 0.41/0.66 (step @p538 :rule process_scope :premises (@p704) :args (@t211)) % 0.41/0.66 (step @p543 :rule implies_elim :premises (@p538)) % 0.41/0.66 (step @p544 :rule resolution :premises (@p543 @p528) :args (true @t211)) % 0.41/0.66 (step @p545 :rule not_and :premises (@p544)) % 0.41/0.66 (step @p546 :rule chain_m_resolution :premises (@p545 @p497 @p25 @p300 @p286 @p264 @p2 @p76 @p74 @p464 @p81 @p180 @p178) :args (@t87 (@list false false false false false false false false false false false false) (@list @t203 @t129 @t160 @t165 @t164 @t17 @t79 @t82 @t80 @t85 @t122 @t123))) % 0.41/0.66 (step @p547 :rule chain_m_resolution :premises (@p416 @p546 @p414) :args (@t180 @t212 (@list @t84 @t197))) % 0.41/0.66 (step @p548 :rule chain_m_resolution :premises (@p128 @p546 @p81) :args (@t81 @t212 (@list @t84 @t85))) % 0.41/0.66 (step @p549 :rule chain_m_resolution :premises (@p305 @p548 @p303) :args (@t169 @t212 (@list @t80 @t170))) % 0.41/0.66 (step @p550 :rule chain_m_resolution :premises (@p351 @p264 @p310 @p549) :args (@t172 (@list false false false) (@list @t164 @t174 @t169))) % 0.41/0.66 (assume-push @p705 @t180) % 0.41/0.66 (assume-push @p706 @t129) % 0.41/0.66 (assume-push @p707 @t203) % 0.41/0.66 (assume-push @p708 @t172) % 0.41/0.66 (assume-push @p709 @t183) % 0.41/0.66 (step @p89 :rule evaluate :args (@t88)) % 0.41/0.66 (step @p556 :rule evaluate :args ((+ 0 -1 -1 1))) % 0.41/0.66 (step @p193 :rule evaluate :args (@t140)) % 0.41/0.66 (step @p194 :rule refl :args (-1)) % 0.41/0.66 (step @p93 :rule evaluate :args (@t90)) % 0.41/0.66 (step @p91 :rule refl :args (0)) % 0.41/0.66 (step @p557 :rule nary_cong :premises (@p91 @p93 @p194 @p193) :args (@t213)) % 0.41/0.66 (step @p558 :rule trans :premises (@p557 @p556)) % 0.41/0.66 (step @p559 :rule arith_poly_norm :args ((= (+ @t127 @t125 0 @t58 0 @t142 0) 0))) % 0.41/0.66 (step @p198 :rule arith_poly_norm :args (@t144)) % 0.41/0.66 (step @p201 :rule refl :args (@t142)) % 0.41/0.66 (step @p200 :rule arith_poly_norm :args (@t146)) % 0.41/0.66 (step @p199 :rule refl :args (@t58)) % 0.41/0.66 (step @p364 :rule arith_poly_norm :args (@t186)) % 0.41/0.66 (step @p366 :rule refl :args (@t125)) % 0.41/0.66 (step @p365 :rule refl :args (@t127)) % 0.41/0.66 (step @p560 :rule nary_cong :premises (@p365 @p366 @p364 @p199 @p200 @p201 @p198) :args (@t214)) % 0.41/0.66 (step @p561 :rule trans :premises (@p560 @p559)) % 0.41/0.66 (step @p562 :rule arith_poly_norm :args ((= @t215 @t214))) % 0.41/0.66 (step @p563 :rule trans :premises (@p562 @p561)) % 0.41/0.66 (step @p564 :rule cong :premises (@p563 @p558) :args ((<= @t215 @t213))) % 0.41/0.66 (step @p565 :rule trans :premises (@p564 @p89)) % 0.41/0.66 (step @p566 :rule arith_mult_neg :args (-1 @t192)) % 0.41/0.66 (step @p377 :rule arith_poly_norm :args (@t191)) % 0.41/0.66 (step @p378 :rule arith_poly_norm_rel :premises (@p377) :args (@t193)) % 0.41/0.66 (step @p379 :rule symm :premises (@p378)) % 0.41/0.66 (step @p567 :rule eq_resolve :premises (@p705 @p379)) % 0.41/0.66 (step @p113 :rule evaluate :args (@t101)) % 0.41/0.66 (step @p114 :rule true_elim :premises (@p113)) % 0.41/0.66 (step @p568 :rule and_intro :premises (@p114 @p567)) % 0.41/0.66 (step @p569 :rule modus_ponens :premises (@p568 @p566)) % 0.41/0.66 (step @p214 :rule arith_poly_norm :args (@t155)) % 0.41/0.66 (step @p215 :rule arith_poly_norm_rel :premises (@p214) :args (@t156)) % 0.41/0.66 (step @p216 :rule symm :premises (@p215)) % 0.41/0.66 (step @p217 :rule eq_resolve :premises (@p25 @p216)) % 0.41/0.66 (step @p513 :rule arith_mult_neg :args (-1 @t203)) % 0.41/0.66 (step @p570 :rule and_intro :premises (@p114 @p707)) % 0.41/0.66 (step @p571 :rule modus_ponens :premises (@p570 @p513)) % 0.41/0.66 (step @p572 :rule arith_sum_ub :premises (@p709 @p571 @p217 @p569)) % 0.41/0.66 (step @p573 false :rule eq_resolve :premises (@p572 @p565)) % 0.41/0.66 (step-pop @p710 :rule scope :premises (@p573)) % 0.41/0.66 (step @p574 :rule process_scope :premises (@p710) :args (false)) % 0.41/0.66 (step @p389 :rule arith_poly_norm :args (@t194)) % 0.41/0.66 (step @p390 :rule arith_poly_norm_rel :premises (@p389) :args (@t195)) % 0.41/0.66 (step @p391 :rule symm :premises (@p390)) % 0.41/0.66 (step @p576 :rule eq_resolve :premises (@p708 @p391)) % 0.41/0.66 (step @p577 false :rule contra :premises (@p576 @p574)) % 0.41/0.66 (step-pop @p711 :rule scope :premises (@p577)) % 0.41/0.66 (step-pop @p712 :rule scope :premises (@p711)) % 0.41/0.66 (step-pop @p713 :rule scope :premises (@p712)) % 0.41/0.66 (step-pop @p714 :rule scope :premises (@p713)) % 0.41/0.66 (step @p578 :rule process_scope :premises (@p714) :args (false)) % 0.41/0.66 (assume-push @p715 @t203) % 0.41/0.66 (assume-push @p716 @t180) % 0.41/0.66 (assume-push @p717 @t129) % 0.41/0.66 (assume-push @p718 @t172) % 0.41/0.66 (step @p587 :rule and_intro :premises (@p716 @p25 @p715 @p718)) % 0.41/0.66 (step-pop @p719 :rule scope :premises (@p587)) % 0.41/0.66 (step-pop @p720 :rule scope :premises (@p719)) % 0.41/0.66 (step-pop @p721 :rule scope :premises (@p720)) % 0.41/0.66 (step-pop @p722 :rule scope :premises (@p721)) % 0.41/0.66 (step @p588 :rule process_scope :premises (@p722) :args (@t216)) % 0.41/0.66 (step @p593 :rule implies_elim :premises (@p588)) % 0.41/0.66 (step @p594 :rule resolution :premises (@p593 @p578) :args (true @t216)) % 0.41/0.66 (step @p595 :rule not_and :premises (@p594)) % 0.41/0.66 (step @p596 false :rule chain_m_resolution :premises (@p595 @p550 @p547 @p497 @p25) :args (false (@list false false false false) (@list @t172 @t180 @t203 @t129))) % 0.41/0.66 ) % 0.41/0.66 % SZS output end Proof % 0.41/0.66 % cvc5 exiting %------------------------------------------------------------------------------