%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT052_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:14:25 AM UTC 2026 % Result : Theorem 0.53s 0.70s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT052_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 22:27:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_ARI % 0.53/0.70 --- Run --finite-model-find --decision=internal at 45... % 0.53/0.70 % SZS status Theorem % 0.53/0.70 % SZS output start Proof % 0.53/0.70 ( % 0.53/0.70 (declare-sort tptp.record 0) % 0.53/0.70 (declare-const tptp.split2 (-> tptp.record tptp.record)) % 0.53/0.70 (declare-const tptp.data (-> tptp.record Int)) % 0.53/0.70 (declare-const tptp.split1 (-> tptp.record tptp.record)) % 0.53/0.70 (declare-const tptp.next (-> tptp.record tptp.record)) % 0.53/0.70 (declare-const tptp.isrecord (-> tptp.record Bool)) % 0.53/0.70 (declare-const tptp.length (-> tptp.record Int)) % 0.53/0.70 (define @t1 () (@var "U" tptp.record)) % 0.53/0.70 (define @t2 () (tptp.length @t1)) % 0.53/0.70 (define @t3 () (tptp.isrecord @t1)) % 0.53/0.70 (define @t4 () (not @t3)) % 0.53/0.70 (define @t5 () (@list @t1)) % 0.53/0.70 (define @t6 () (tptp.next @t1)) % 0.53/0.70 (define @t7 () (tptp.length @t6)) % 0.53/0.70 (define @t8 () (+ @t7 1)) % 0.53/0.70 (define @t9 () (= @t2 @t8)) % 0.53/0.70 (define @t10 () (=> @t3 @t9)) % 0.53/0.70 (define @t11 () (forall @t5 @t10)) % 0.53/0.70 (define @t12 () (tptp.split1 @t1)) % 0.53/0.70 (define @t13 () (tptp.isrecord @t12)) % 0.53/0.70 (define @t14 () (forall @t5 (=> @t3 @t13))) % 0.53/0.70 (define @t15 () (tptp.next @t12)) % 0.53/0.70 (define @t16 () (tptp.isrecord @t6)) % 0.53/0.70 (define @t17 () (not @t16)) % 0.53/0.70 (define @t18 () (tptp.next @t6)) % 0.53/0.70 (define @t19 () (tptp.split1 @t18)) % 0.53/0.70 (define @t20 () (= @t15 @t19)) % 0.53/0.70 (define @t21 () (and @t3 @t16)) % 0.53/0.70 (define @t22 () (forall @t5 (=> @t21 @t20))) % 0.53/0.70 (define @t23 () (tptp.split2 @t1)) % 0.53/0.70 (define @t24 () (tptp.isrecord @t23)) % 0.53/0.70 (define @t25 () (not @t24)) % 0.53/0.70 (define @t26 () (forall @t5 (=> @t21 @t24))) % 0.53/0.70 (define @t27 () (tptp.split2 @t18)) % 0.53/0.70 (define @t28 () (= (tptp.next @t23) @t27)) % 0.53/0.70 (define @t29 () (forall @t5 (=> @t21 @t28))) % 0.53/0.70 (define @t30 () (+ (tptp.length @t12) (tptp.length @t23))) % 0.53/0.70 (define @t31 () (= @t30 @t2)) % 0.53/0.70 (define @t32 () (@var "V" tptp.record)) % 0.53/0.70 (define @t33 () (tptp.length @t32)) % 0.53/0.70 (define @t34 () (tptp.length (tptp.split2 @t32))) % 0.53/0.70 (define @t35 () (tptp.length (tptp.split1 @t32))) % 0.53/0.70 (define @t36 () (+ @t35 @t34)) % 0.53/0.70 (define @t37 () (= @t36 @t33)) % 0.53/0.70 (define @t38 () (= @t32 @t18)) % 0.53/0.70 (define @t39 () (and @t3 @t16 @t38 @t37)) % 0.53/0.70 (define @t40 () (=> @t39 @t31)) % 0.53/0.70 (define @t41 () (@list @t1 @t32)) % 0.53/0.70 (define @t42 () (forall @t41 @t40)) % 0.53/0.70 (define @t43 () (not @t42)) % 0.53/0.70 (define @t44 () (= @t2 @t30)) % 0.53/0.70 (define @t45 () (not (= (tptp.length @t19) (+ (* -1 (tptp.length @t27)) (tptp.length @t18))))) % 0.53/0.70 (define @t46 () (or @t4 @t17 @t45 @t44)) % 0.53/0.70 (define @t47 () (not (= @t18 @t18))) % 0.53/0.70 (define @t48 () (or @t4 @t17 @t47 @t45 @t44)) % 0.53/0.70 (define @t49 () (+ (* -1 @t34) @t33)) % 0.53/0.70 (define @t50 () (= @t35 @t49)) % 0.53/0.70 (define @t51 () (not @t50)) % 0.53/0.70 (define @t52 () (= @t18 @t32)) % 0.53/0.70 (define @t53 () (not @t52)) % 0.53/0.70 (define @t54 () (@list @t32)) % 0.53/0.70 (define @t55 () (or @t53 @t4 @t17 @t53 @t51 @t44)) % 0.53/0.70 (define @t56 () (or @t4 @t17 @t53 @t51 @t44)) % 0.53/0.70 (define @t57 () (forall @t54 @t56)) % 0.53/0.70 (define @t58 () (forall @t5 @t57)) % 0.53/0.70 (define @t59 () (or @t4 @t17 @t53 @t51)) % 0.53/0.70 (define @t60 () (and @t3 @t16 @t52 @t50)) % 0.53/0.70 (define @t61 () (@quantifiers_skolemize (forall @t5 @t46) 0)) % 0.53/0.70 (define @t62 () (tptp.next @t61)) % 0.53/0.70 (define @t63 () (tptp.next @t62)) % 0.53/0.70 (define @t64 () (tptp.length @t63)) % 0.53/0.70 (define @t65 () (tptp.split2 @t63)) % 0.53/0.70 (define @t66 () (tptp.length @t65)) % 0.53/0.70 (define @t67 () (+ (* -1 @t66) @t64)) % 0.53/0.70 (define @t68 () (tptp.split1 @t63)) % 0.53/0.70 (define @t69 () (tptp.length @t68)) % 0.53/0.70 (define @t70 () (= @t69 @t67)) % 0.53/0.70 (define @t71 () (tptp.split2 @t61)) % 0.53/0.70 (define @t72 () (tptp.length @t71)) % 0.53/0.70 (define @t73 () (tptp.split1 @t61)) % 0.53/0.70 (define @t74 () (tptp.length @t73)) % 0.53/0.70 (define @t75 () (+ @t74 @t72)) % 0.53/0.70 (define @t76 () (tptp.length @t61)) % 0.53/0.70 (define @t77 () (= @t76 @t75)) % 0.53/0.70 (define @t78 () (not @t70)) % 0.53/0.70 (define @t79 () (tptp.isrecord @t62)) % 0.53/0.70 (define @t80 () (not @t79)) % 0.53/0.70 (define @t81 () (tptp.isrecord @t61)) % 0.53/0.70 (define @t82 () (not @t81)) % 0.53/0.70 (define @t83 () (or @t82 @t80 @t78 @t77)) % 0.53/0.70 (define @t84 () (@list true)) % 0.53/0.70 (define @t85 () (@list @t83)) % 0.53/0.70 (define @t86 () (or @t4 @t17 @t28)) % 0.53/0.70 (define @t87 () (or @t4 @t17)) % 0.53/0.70 (define @t88 () (not @t21)) % 0.53/0.70 (define @t89 () (tptp.next @t71)) % 0.53/0.70 (define @t90 () (or @t82 @t80 (= @t89 @t65))) % 0.53/0.70 (define @t91 () (forall @t5 @t86)) % 0.53/0.70 (define @t92 () (@list @t61)) % 0.53/0.70 (define @t93 () (= @t65 @t89)) % 0.53/0.70 (define @t94 () (or @t82 @t80 @t93)) % 0.53/0.70 (define @t95 () (@list false)) % 0.53/0.70 (define @t96 () (@list false false false)) % 0.53/0.70 (define @t97 () (or @t4 @t17 @t20)) % 0.53/0.70 (define @t98 () (tptp.next @t73)) % 0.53/0.70 (define @t99 () (or @t82 @t80 (= @t98 @t68))) % 0.53/0.70 (define @t100 () (forall @t5 @t97)) % 0.53/0.70 (define @t101 () (= @t68 @t98)) % 0.53/0.70 (define @t102 () (or @t82 @t80 @t101)) % 0.53/0.70 (define @t103 () (+ 1 @t7)) % 0.53/0.70 (define @t104 () (= @t2 @t103)) % 0.53/0.70 (define @t105 () (tptp.length @t62)) % 0.53/0.70 (define @t106 () (+ 1 @t105)) % 0.53/0.70 (define @t107 () (= @t76 @t106)) % 0.53/0.70 (define @t108 () (or @t82 @t107)) % 0.53/0.70 (define @t109 () (@list false false)) % 0.53/0.70 (define @t110 () (+ -1 @t105)) % 0.53/0.70 (define @t111 () (- @t64 @t110)) % 0.53/0.70 (define @t112 () (+ 1 @t64)) % 0.53/0.70 (define @t113 () (= @t64 @t110)) % 0.53/0.70 (define @t114 () (= @t105 @t112)) % 0.53/0.70 (define @t115 () (or @t80 @t114)) % 0.53/0.70 (define @t116 () (forall @t5 (or @t4 @t104))) % 0.53/0.70 (define @t117 () (or @t80 @t113)) % 0.53/0.70 (define @t118 () (tptp.isrecord @t71)) % 0.53/0.70 (define @t119 () (or @t82 @t80 @t118)) % 0.53/0.70 (define @t120 () (tptp.length @t89)) % 0.53/0.70 (define @t121 () (+ 1 @t120)) % 0.53/0.70 (define @t122 () (= @t72 @t121)) % 0.53/0.70 (define @t123 () (not @t118)) % 0.53/0.70 (define @t124 () (or @t123 @t122)) % 0.53/0.70 (define @t125 () (tptp.isrecord @t73)) % 0.53/0.70 (define @t126 () (or @t82 @t125)) % 0.53/0.70 (define @t127 () (tptp.length @t98)) % 0.53/0.70 (define @t128 () (+ 1 @t127)) % 0.53/0.70 (define @t129 () (= @t74 @t128)) % 0.53/0.70 (define @t130 () (not @t125)) % 0.53/0.70 (define @t131 () (or @t130 @t129)) % 0.53/0.70 (define @t132 () (not @t129)) % 0.53/0.70 (define @t133 () (not @t122)) % 0.53/0.70 (define @t134 () (not @t113)) % 0.53/0.70 (define @t135 () (not @t107)) % 0.53/0.70 (define @t136 () (not @t101)) % 0.53/0.70 (define @t137 () (not @t93)) % 0.53/0.70 (define @t138 () (* -1 @t72)) % 0.53/0.70 (define @t139 () (* -1 @t74)) % 0.53/0.70 (define @t140 () (+ @t76 @t139 @t138)) % 0.53/0.70 (define @t141 () (>= @t140 0)) % 0.53/0.70 (define @t142 () (not @t141)) % 0.53/0.70 (define @t143 () (= @t66 @t120)) % 0.53/0.70 (define @t144 () (= @t69 @t127)) % 0.53/0.70 (define @t145 () (* -1 @t127)) % 0.53/0.70 (define @t146 () (+ @t69 @t145)) % 0.53/0.70 (define @t147 () (= @t146 0)) % 0.53/0.70 (define @t148 () (* -1 1)) % 0.53/0.70 (define @t149 () (* -1 0)) % 0.53/0.70 (define @t150 () (+ @t149 @t149 0 @t148 1 0 -1 1)) % 0.53/0.70 (define @t151 () (* -1 @t64)) % 0.53/0.70 (define @t152 () (* 0 @t69)) % 0.53/0.70 (define @t153 () (= @t152 0)) % 0.53/0.70 (define @t154 () (* 0 @t66)) % 0.53/0.70 (define @t155 () (= @t154 0)) % 0.53/0.70 (define @t156 () (* 0 @t76)) % 0.53/0.70 (define @t157 () (= @t156 0)) % 0.53/0.70 (define @t158 () (* 0 @t105)) % 0.53/0.70 (define @t159 () (= @t158 0)) % 0.53/0.70 (define @t160 () (* 0 @t120)) % 0.53/0.70 (define @t161 () (= @t160 0)) % 0.53/0.70 (define @t162 () (* 0 @t127)) % 0.53/0.70 (define @t163 () (= @t162 0)) % 0.53/0.70 (define @t164 () (+ @t162 @t160 @t158 @t138 @t139 @t151 @t72 @t74 @t156 @t64 @t154 @t152)) % 0.53/0.70 (define @t165 () (+ @t74 @t145)) % 0.53/0.70 (define @t166 () (* -1 @t105)) % 0.53/0.70 (define @t167 () (+ @t64 @t166)) % 0.53/0.70 (define @t168 () (+ @t69 @t66 @t151)) % 0.53/0.70 (define @t169 () (* -1 @t120)) % 0.53/0.70 (define @t170 () (+ @t72 @t169)) % 0.53/0.70 (define @t171 () (+ @t76 @t166)) % 0.53/0.70 (define @t172 () (+ @t66 @t169)) % 0.53/0.70 (define @t173 () (+ (* -1 @t146) (* -1 @t172) @t140 (* -1 @t171) @t170 @t168 @t167 @t165)) % 0.53/0.70 (define @t174 () (>= @t173 @t150)) % 0.53/0.70 (define @t175 () (= (* -1 (- @t165 1)) (* -1 (- @t74 @t128)))) % 0.53/0.70 (define @t176 () (= @t165 1)) % 0.53/0.70 (define @t177 () (= @t176 @t129)) % 0.53/0.70 (define @t178 () (= (* 1 (- @t167 -1)) (* 1 @t111))) % 0.53/0.70 (define @t179 () (= @t167 -1)) % 0.53/0.70 (define @t180 () (= @t179 @t113)) % 0.53/0.70 (define @t181 () (= (* 1 (- @t168 0)) (* 1 (- @t69 @t67)))) % 0.53/0.70 (define @t182 () (= @t168 0)) % 0.53/0.70 (define @t183 () (= @t182 @t70)) % 0.53/0.70 (define @t184 () (= (* -1 (- @t170 1)) (* -1 (- @t72 @t121)))) % 0.53/0.70 (define @t185 () (= @t170 1)) % 0.53/0.70 (define @t186 () (= @t185 @t122)) % 0.53/0.70 (define @t187 () (= @t171 1)) % 0.53/0.70 (define @t188 () (= (* -1 (- @t171 1)) (* -1 (- @t76 @t106)))) % 0.53/0.70 (define @t189 () (= @t187 @t107)) % 0.53/0.70 (define @t190 () (< -1 0)) % 0.53/0.70 (define @t191 () (= @t172 0)) % 0.53/0.70 (define @t192 () (= (* 1 (- @t172 0)) (* 1 (- @t66 @t120)))) % 0.53/0.70 (define @t193 () (= @t191 @t143)) % 0.53/0.70 (define @t194 () (= (* 1 (- @t146 0)) (* 1 (- @t69 @t127)))) % 0.53/0.70 (define @t195 () (= @t147 @t144)) % 0.53/0.70 (define @t196 () (and @t129 @t113 @t70 @t122 @t107 @t142 @t143 @t144)) % 0.53/0.70 (define @t197 () (not @t77)) % 0.53/0.70 (define @t198 () (>= @t140 1)) % 0.53/0.70 (define @t199 () (= @t140 0)) % 0.53/0.70 (define @t200 () (and @t197 @t141)) % 0.53/0.70 (define @t201 () (* -1 -1)) % 0.53/0.70 (define @t202 () (+ 0 0 @t148 1 @t148 @t149 @t201 @t148)) % 0.53/0.70 (define @t203 () (+ @t162 @t160 @t158 @t72 @t74 @t64 @t138 @t139 @t156 @t151 @t154 @t152)) % 0.53/0.70 (define @t204 () (+ @t146 @t172 (* -1 @t140) @t171 (* -1 @t170) (* -1 @t168) (* -1 @t167) (* -1 @t165))) % 0.53/0.70 (define @t205 () (and @t129 @t113 @t70 @t122 @t107 @t198 @t143 @t144)) % 0.53/0.70 (assume @p1 (forall @t5 (=> @t4 (= @t2 0)))) % 0.53/0.70 (assume @p2 (forall @t5 (=> @t3 (>= @t2 1)))) % 0.53/0.70 (assume @p3 @t11) % 0.53/0.70 (assume @p4 (forall @t5 (=> @t4 (not @t13)))) % 0.53/0.70 (assume @p5 @t14) % 0.53/0.70 (assume @p6 (forall @t5 (=> @t3 (= (tptp.data @t12) (tptp.data @t1))))) % 0.53/0.70 (assume @p7 (forall @t5 (=> (and @t3 @t17) (not (tptp.isrecord @t15))))) % 0.53/0.70 (assume @p8 @t22) % 0.53/0.70 (assume @p9 (forall @t5 (=> @t4 @t25))) % 0.53/0.70 (assume @p10 (forall @t5 (=> @t17 @t25))) % 0.53/0.70 (assume @p11 @t26) % 0.53/0.70 (assume @p12 (forall @t5 (=> @t21 (= (tptp.data @t23) (tptp.data @t6))))) % 0.53/0.70 (assume @p13 @t29) % 0.53/0.70 (assume @p14 @t43) % 0.53/0.70 (assume @p15 true) % 0.53/0.70 (step @p16 :rule aci_norm :args ((= (or @t4 @t17 false @t45 @t44) @t46))) % 0.53/0.70 (step @p17 :rule refl :args (@t44)) % 0.53/0.70 (step @p18 :rule refl :args (@t45)) % 0.53/0.70 (step @p19 :rule evaluate :args ((not true))) % 0.53/0.70 (step @p20 :rule eq-refl :args (@t18)) % 0.53/0.70 (step @p21 :rule cong :premises (@p20) :args (@t47)) % 0.53/0.70 (step @p22 :rule trans :premises (@p21 @p19)) % 0.53/0.70 (step @p23 :rule refl :args (@t17)) % 0.53/0.70 (step @p24 :rule refl :args (@t4)) % 0.53/0.70 (step @p25 :rule nary_cong :premises (@p24 @p23 @p22 @p18 @p17) :args (@t48)) % 0.53/0.70 (step @p26 :rule trans :premises (@p25 @p16)) % 0.53/0.70 (step @p27 :rule cong :premises (@p26) :args ((forall @t5 @t48))) % 0.53/0.70 (step @p28 :rule quant-var-elim-eq :args ((= (forall @t54 (or (not @t38) @t4 @t17 @t53 @t51 @t44)) @t48))) % 0.53/0.70 (step @p29 :rule refl :args (@t44)) % 0.53/0.70 (step @p30 :rule refl :args (@t51)) % 0.53/0.70 (step @p31 :rule refl :args (@t53)) % 0.53/0.70 (step @p32 :rule refl :args (@t17)) % 0.53/0.70 (step @p33 :rule refl :args (@t4)) % 0.53/0.70 (step @p34 :rule eq-symm :args (@t18 @t32)) % 0.53/0.70 (step @p35 :rule cong :premises (@p34) :args (@t53)) % 0.53/0.70 (step @p36 :rule nary_cong :premises (@p35 @p33 @p32 @p31 @p30 @p29) :args (@t55)) % 0.53/0.70 (step @p37 :rule aci_norm :args ((= @t56 @t55))) % 0.53/0.70 (step @p38 :rule trans :premises (@p37 @p36)) % 0.53/0.70 (step @p39 :rule cong :premises (@p38) :args (@t57)) % 0.53/0.70 (step @p40 :rule trans :premises (@p39 @p28)) % 0.53/0.70 (step @p41 :rule cong :premises (@p40) :args (@t58)) % 0.53/0.70 (step @p42 :rule quant-merge-prenex :args ((= @t58 (forall @t41 @t56)))) % 0.53/0.70 (step @p43 :rule symm :premises (@p42)) % 0.53/0.70 (step @p44 :rule trans :premises (@p43 @p41)) % 0.53/0.70 (step @p45 :rule trans :premises (@p44 @p27)) % 0.53/0.70 (step @p46 :rule aci_norm :args ((= (or @t59 @t44) @t56))) % 0.53/0.70 (step @p47 :rule aci_norm :args ((= (or @t4 (or @t17 (or @t53 @t51))) @t59))) % 0.53/0.70 (step @p48 :rule bool-and-de-morgan :args (@t52 @t50 true)) % 0.53/0.70 (step @p49 :rule nary_cong :premises (@p32 @p48) :args ((or @t17 (not (and @t52 @t50))))) % 0.53/0.70 (step @p50 :rule bool-and-de-morgan :args (@t16 @t52 (and @t50))) % 0.53/0.70 (step @p51 :rule trans :premises (@p50 @p49)) % 0.53/0.70 (step @p52 :rule nary_cong :premises (@p33 @p51) :args ((or @t4 (not (and @t16 @t52 @t50))))) % 0.53/0.70 (step @p53 :rule bool-and-de-morgan :args (@t3 @t16 (and @t52 @t50))) % 0.53/0.70 (step @p54 :rule trans :premises (@p53 @p52)) % 0.53/0.70 (step @p55 :rule trans :premises (@p54 @p47)) % 0.53/0.70 (step @p56 :rule nary_cong :premises (@p55 @p29) :args ((or (not @t60) @t44))) % 0.53/0.70 (step @p57 :rule trans :premises (@p56 @p46)) % 0.53/0.70 (step @p58 :rule bool-impl-elim :args (@t60 @t44)) % 0.53/0.70 (step @p59 :rule trans :premises (@p58 @p57)) % 0.53/0.70 (step @p60 :rule cong :premises (@p59) :args ((forall @t41 (=> @t60 @t44)))) % 0.53/0.70 (step @p61 :rule trans :premises 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(@p461)) % 0.53/0.70 (step @p297 :rule process_scope :premises (@p462) :args (false)) % 0.53/0.70 (assume-push @p463 @t70) % 0.53/0.70 (assume-push @p464 @t142) % 0.53/0.70 (assume-push @p465 @t93) % 0.53/0.70 (assume-push @p466 @t101) % 0.53/0.70 (assume-push @p467 @t107) % 0.53/0.70 (assume-push @p468 @t113) % 0.53/0.70 (assume-push @p469 @t122) % 0.53/0.70 (assume-push @p470 @t129) % 0.53/0.70 (step @p314 :rule cong :premises (@p141) :args (@t69)) % 0.53/0.70 (step @p315 :rule cong :premises (@p119) :args (@t66)) % 0.53/0.70 (step @p316 :rule and_intro :premises (@p196 @p169 @p82 @p185 @p154 @p464 @p315 @p314)) % 0.53/0.70 (step-pop @p471 :rule scope :premises (@p316)) % 0.53/0.70 (step-pop @p472 :rule scope :premises (@p471)) % 0.53/0.70 (step-pop @p473 :rule scope :premises (@p472)) % 0.53/0.70 (step-pop @p474 :rule scope :premises (@p473)) % 0.53/0.70 (step-pop @p475 :rule scope :premises (@p474)) % 0.53/0.70 (step-pop @p476 :rule scope :premises (@p475)) % 0.53/0.70 (step-pop @p477 :rule scope :premises (@p476)) % 0.53/0.70 (step-pop @p478 :rule scope :premises (@p477)) % 0.53/0.70 (step @p317 :rule process_scope :premises (@p478) :args (@t196)) % 0.53/0.70 (step @p326 :rule implies_elim :premises (@p317)) % 0.53/0.70 (step @p327 :rule resolution :premises (@p326 @p297) :args (true @t196)) % 0.53/0.70 (step @p328 :rule not_and :premises (@p327)) % 0.53/0.70 (step @p329 :rule eq_resolve :premises (@p328 @p205)) % 0.53/0.70 (step @p330 :rule chain_m_resolution :premises (@p329 @p82 @p119 @p141 @p154 @p169 @p185 @p196) :args (@t141 (@list false false false false false false false) (@list @t70 @t93 @t101 @t107 @t113 @t122 @t129))) % 0.53/0.70 (step @p331 :rule cnf_or_neg :args (@t83 3)) % 0.53/0.70 (step @p332 :rule chain_m_resolution :premises (@p331 @p75) :args (@t197 @t84 @t85)) % 0.53/0.70 (step @p333 :rule refl :args (@t198)) % 0.53/0.70 (step @p334 :rule refl :args (@t142)) % 0.53/0.70 (step @p335 :rule bool-double-not-elim :args (@t77)) % 0.53/0.70 (step @p336 :rule nary_cong :premises (@p335 @p334 @p333) :args ((or (not @t197) @t142 @t198))) % 0.53/0.70 (assume-push @p479 @t197) % 0.53/0.70 (assume-push @p480 @t141) % 0.53/0.70 (assume-push @p481 @t197) % 0.53/0.70 (assume-push @p482 @t141) % 0.53/0.70 (step @p341 :rule arith_poly_norm :args ((= (* 1 (- @t140 0)) (* 1 (- @t76 @t75))))) % 0.53/0.70 (step @p342 :rule arith_poly_norm_rel :premises (@p341) :args ((= @t199 @t77))) % 0.53/0.70 (step @p343 :rule cong :premises (@p342) :args ((not @t199))) % 0.53/0.70 (step @p344 :rule symm :premises (@p343)) % 0.53/0.70 (step @p345 :rule eq_resolve :premises (@p332 @p344)) % 0.53/0.70 (step @p346 :rule arith_trichotomy :premises (@p345 @p480)) % 0.53/0.70 (step @p347 :rule int_tight_lb :premises (@p346)) % 0.53/0.70 (step-pop @p483 :rule scope :premises (@p347)) % 0.53/0.70 (step-pop @p484 :rule scope :premises (@p483)) % 0.53/0.70 (step @p348 :rule process_scope :premises (@p484) :args (@t198)) % 0.53/0.70 (step @p351 :rule and_intro 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@t198) % 0.53/0.70 (assume-push @p493 @t143) % 0.53/0.70 (assume-push @p494 @t144) % 0.53/0.70 (assume-push @p495 @t147) % 0.53/0.70 (step @p371 :rule evaluate :args ((<= 0 -1))) % 0.53/0.70 (step @p372 :rule evaluate :args ((+ 0 0 -1 1 -1 0 1 -1))) % 0.53/0.70 (step @p220 :rule evaluate :args (@t148)) % 0.53/0.70 (step @p373 :rule evaluate :args (@t201)) % 0.53/0.70 (step @p221 :rule evaluate :args (@t149)) % 0.53/0.70 (step @p217 :rule refl :args (1)) % 0.53/0.70 (step @p219 :rule refl :args (0)) % 0.53/0.70 (step @p374 :rule nary_cong :premises (@p219 @p219 @p220 @p217 @p220 @p221 @p373 @p220) :args (@t202)) % 0.53/0.70 (step @p375 :rule trans :premises (@p374 @p372)) % 0.53/0.70 (step @p376 :rule arith_poly_norm :args ((= (+ 0 0 0 @t72 @t74 @t64 @t138 @t139 0 @t151 0 0) 0))) % 0.53/0.70 (step @p225 :rule arith_poly_norm :args (@t153)) % 0.53/0.70 (step @p226 :rule arith_poly_norm :args (@t155)) % 0.53/0.70 (step @p231 :rule refl :args (@t151)) % 0.53/0.70 (step @p228 :rule 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@p389 :rule arith_mult_neg :args (-1 @t182)) % 0.53/0.70 (step @p255 :rule arith_poly_norm :args (@t181)) % 0.53/0.70 (step @p256 :rule arith_poly_norm_rel :premises (@p255) :args (@t183)) % 0.53/0.70 (step @p257 :rule symm :premises (@p256)) % 0.53/0.70 (step @p258 :rule eq_resolve :premises (@p82 @p257)) % 0.53/0.70 (step @p390 :rule and_intro :premises (@p269 @p258)) % 0.53/0.70 (step @p391 :rule modus_ponens :premises (@p390 @p389)) % 0.53/0.70 (step @p392 :rule arith_mult_neg :args (-1 @t185)) % 0.53/0.70 (step @p259 :rule arith_poly_norm :args (@t184)) % 0.53/0.70 (step @p260 :rule arith_poly_norm_rel :premises (@p259) :args (@t186)) % 0.53/0.70 (step @p261 :rule symm :premises (@p260)) % 0.53/0.70 (step @p262 :rule eq_resolve :premises (@p185 @p261)) % 0.53/0.70 (step @p393 :rule and_intro :premises (@p269 @p262)) % 0.53/0.70 (step @p394 :rule modus_ponens :premises (@p393 @p392)) % 0.53/0.70 (step @p264 :rule arith_poly_norm :args (@t188)) % 0.53/0.70 (step @p265 :rule arith_poly_norm_rel :premises (@p264) :args (@t189)) % 0.53/0.70 (step @p266 :rule symm :premises (@p265)) % 0.53/0.70 (step @p267 :rule eq_resolve :premises (@p154 @p266)) % 0.53/0.70 (step @p395 :rule arith_mult_neg :args (-1 @t198)) % 0.53/0.70 (step @p396 :rule and_intro :premises (@p269 @p492)) % 0.53/0.70 (step @p397 :rule modus_ponens :premises (@p396 @p395)) % 0.53/0.70 (step @p276 :rule arith_poly_norm :args (@t192)) % 0.53/0.70 (step @p277 :rule arith_poly_norm_rel :premises (@p276) :args (@t193)) % 0.53/0.70 (step @p398 :rule symm :premises (@p277)) % 0.53/0.70 (step @p315 :rule cong :premises (@p119) :args (@t66)) % 0.53/0.70 (step @p399 :rule eq_resolve :premises (@p315 @p398)) % 0.53/0.70 (step @p284 :rule arith_poly_norm :args (@t194)) % 0.53/0.70 (step @p285 :rule arith_poly_norm_rel :premises (@p284) :args (@t195)) % 0.53/0.70 (step @p286 :rule symm :premises (@p285)) % 0.53/0.70 (step @p287 :rule cong :premises (@p141) :args (@t69)) % 0.53/0.70 (step @p400 :rule eq_resolve :premises (@p287 @p286)) % 0.53/0.70 (step @p401 :rule arith_sum_ub :premises (@p400 @p399 @p397 @p267 @p394 @p391 @p388 @p385)) % 0.53/0.70 (step @p402 false :rule eq_resolve :premises (@p401 @p382)) % 0.53/0.70 (step-pop @p496 :rule scope :premises (@p402)) % 0.53/0.70 (step @p403 :rule process_scope :premises (@p496) :args (false)) % 0.53/0.70 (step @p284 :rule arith_poly_norm :args (@t194)) % 0.53/0.70 (step @p285 :rule arith_poly_norm_rel :premises (@p284) :args (@t195)) % 0.53/0.70 (step @p405 :rule symm :premises (@p285)) % 0.53/0.70 (step @p314 :rule cong :premises (@p141) :args (@t69)) % 0.53/0.70 (step @p406 :rule eq_resolve :premises (@p314 @p405)) % 0.53/0.70 (step @p407 false :rule contra :premises (@p406 @p403)) % 0.53/0.70 (step-pop @p497 :rule scope :premises (@p407)) % 0.53/0.70 (step-pop @p498 :rule scope :premises (@p497)) % 0.53/0.70 (step-pop @p499 :rule scope :premises (@p498)) % 0.53/0.70 (step-pop @p500 :rule scope :premises (@p499)) % 0.53/0.70 (step-pop @p501 :rule scope :premises (@p500)) % 0.53/0.70 (step-pop @p502 :rule scope :premises (@p501)) % 0.53/0.70 (step-pop @p503 :rule scope :premises (@p502)) % 0.53/0.70 (step-pop @p504 :rule scope :premises (@p503)) % 0.53/0.70 (step @p408 :rule process_scope :premises (@p504) :args (false)) % 0.53/0.70 (assume-push @p505 @t70) % 0.53/0.70 (assume-push @p506 @t198) % 0.53/0.70 (assume-push @p507 @t93) % 0.53/0.70 (assume-push @p508 @t101) % 0.53/0.70 (assume-push @p509 @t107) % 0.53/0.70 (assume-push @p510 @t113) % 0.53/0.70 (assume-push @p511 @t122) % 0.53/0.70 (assume-push @p512 @t129) % 0.53/0.70 (step @p314 :rule cong :premises (@p141) :args (@t69)) % 0.53/0.70 (step @p315 :rule cong :premises (@p119) :args (@t66)) % 0.53/0.70 (step @p425 :rule and_intro :premises (@p196 @p169 @p82 @p185 @p154 @p506 @p315 @p314)) % 0.53/0.70 (step-pop @p513 :rule scope :premises (@p425)) % 0.53/0.70 (step-pop @p514 :rule scope :premises (@p513)) % 0.53/0.70 (step-pop @p515 :rule scope :premises (@p514)) % 0.53/0.70 (step-pop @p516 :rule scope :premises (@p515)) % 0.53/0.70 (step-pop @p517 :rule scope :premises (@p516)) % 0.53/0.70 (step-pop @p518 :rule scope :premises (@p517)) % 0.53/0.70 (step-pop @p519 :rule scope :premises (@p518)) % 0.53/0.70 (step-pop @p520 :rule scope :premises (@p519)) % 0.53/0.70 (step @p426 :rule process_scope :premises (@p520) :args (@t205)) % 0.53/0.70 (step @p435 :rule implies_elim :premises (@p426)) % 0.53/0.70 (step @p436 :rule resolution :premises (@p435 @p408) :args (true @t205)) % 0.53/0.70 (step @p437 :rule not_and :premises (@p436)) % 0.53/0.70 (step @p438 false :rule chain_m_resolution :premises (@p437 @p361 @p196 @p185 @p169 @p154 @p141 @p119 @p82) :args (false (@list false false false false false false false false) (@list @t198 @t129 @t122 @t113 @t107 @t101 @t93 @t70))) % 0.53/0.70 ) % 0.53/0.70 % SZS output end Proof % 0.53/0.70 % cvc5 exiting %------------------------------------------------------------------------------