%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL902+1 : TPTP v9.3.1. Released v5.5.0. % 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 : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:08 AM UTC 2026 % Result : Theorem 0.80s 1.08s % Output : Proof 0.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : LCL902+1 : TPTP v9.3.1. Released v5.5.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.20/0.44 % Computer : n006.cluster.edu % 0.20/0.44 % Model : x86_64 x86_64 % 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.20/0.44 % Memory : 8046.5625MB % 0.20/0.44 % OS : Linux 6.8.0-71-generic % 0.20/0.44 % CPULimit : 300 % 0.20/0.44 % WCLimit : 300 % 0.20/0.44 % DateTime : Sun Sep 6 01:06:46 UTC 2026 % 0.20/0.45 % CPUTime : % 0.27/0.55 %----Proving TF0_NAR, FOF, or CNF % 0.80/1.08 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.80/1.08 % SZS status Theorem % 0.80/1.08 % SZS output start Proof % 0.80/1.08 ( % 0.80/1.08 (declare-sort $$unsorted 0) % 0.80/1.08 (declare-const |tptp.'==>'| (-> $$unsorted $$unsorted $$unsorted)) % 0.80/1.08 (declare-const |tptp.'1'| $$unsorted) % 0.80/1.08 (declare-const |tptp.'>='| (-> $$unsorted $$unsorted Bool)) % 0.80/1.08 (declare-const |tptp.'0'| $$unsorted) % 0.80/1.08 (declare-const |tptp.'+'| (-> $$unsorted $$unsorted $$unsorted)) % 0.80/1.08 (define @t1 () (@var "C" $$unsorted)) % 0.80/1.08 (define @t2 () (@var "B" $$unsorted)) % 0.80/1.08 (define @t3 () (@var "A" $$unsorted)) % 0.80/1.08 (define @t4 () (|tptp.'+'| @t3 @t2)) % 0.80/1.08 (define @t5 () (forall (@list @t3 @t2) (= @t4 (|tptp.'+'| @t2 @t3)))) % 0.80/1.08 (define @t6 () (|tptp.'+'| @t3 |tptp.'0'|)) % 0.80/1.08 (define @t7 () (@list @t3)) % 0.80/1.08 (define @t8 () (forall @t7 (= @t6 @t3))) % 0.80/1.08 (define @t9 () (@var "X2" $$unsorted)) % 0.80/1.08 (define @t10 () (@var "X0" $$unsorted)) % 0.80/1.08 (define @t11 () (@var "X1" $$unsorted)) % 0.80/1.08 (define @t12 () (@var "X4" $$unsorted)) % 0.80/1.08 (define @t13 () (@var "X3" $$unsorted)) % 0.80/1.08 (define @t14 () (= @t13 @t12)) % 0.80/1.08 (define @t15 () (|tptp.'>='| @t12 @t13)) % 0.80/1.08 (define @t16 () (|tptp.'>='| @t13 @t12)) % 0.80/1.08 (define @t17 () (and @t16 @t15)) % 0.80/1.08 (define @t18 () (@list @t13 @t12)) % 0.80/1.08 (define @t19 () (forall @t18 (=> @t17 @t14))) % 0.80/1.08 (define @t20 () (@var "X7" $$unsorted)) % 0.80/1.08 (define @t21 () (@var "X5" $$unsorted)) % 0.80/1.08 (define @t22 () (@var "X6" $$unsorted)) % 0.80/1.08 (define @t23 () (forall (@list @t21 @t22 @t20) (= (|tptp.'>='| (|tptp.'+'| @t21 @t22) @t20) (|tptp.'>='| @t22 (|tptp.'==>'| @t21 @t20))))) % 0.80/1.08 (define @t24 () (@var "X10" $$unsorted)) % 0.80/1.08 (define @t25 () (@var "X9" $$unsorted)) % 0.80/1.08 (define @t26 () (@var "X8" $$unsorted)) % 0.80/1.08 (define @t27 () (|tptp.'>='| (|tptp.'+'| @t26 @t24) (|tptp.'+'| @t25 @t24))) % 0.80/1.08 (define @t28 () (|tptp.'>='| @t26 @t25)) % 0.80/1.08 (define @t29 () (forall (@list @t26 @t25 @t24) (=> @t28 @t27))) % 0.80/1.08 (define @t30 () (@var "X13" $$unsorted)) % 0.80/1.08 (define @t31 () (@var "X11" $$unsorted)) % 0.80/1.08 (define @t32 () (@var "X12" $$unsorted)) % 0.80/1.08 (define @t33 () (|tptp.'>='| (|tptp.'==>'| @t32 @t30) (|tptp.'==>'| @t31 @t30))) % 0.80/1.08 (define @t34 () (|tptp.'>='| @t31 @t32)) % 0.80/1.08 (define @t35 () (forall (@list @t31 @t32 @t30) (=> @t34 @t33))) % 0.80/1.08 (define @t36 () (@var "X15" $$unsorted)) % 0.80/1.08 (define @t37 () (@var "X16" $$unsorted)) % 0.80/1.08 (define @t38 () (@var "X14" $$unsorted)) % 0.80/1.08 (define @t39 () (|tptp.'>='| (|tptp.'==>'| @t37 @t38) (|tptp.'==>'| @t37 @t36))) % 0.80/1.08 (define @t40 () (|tptp.'>='| @t38 @t36)) % 0.80/1.08 (define @t41 () (forall (@list @t38 @t36 @t37) (=> @t40 @t39))) % 0.80/1.08 (define @t42 () (|tptp.'+'| @t3 |tptp.'1'|)) % 0.80/1.08 (define @t43 () (forall @t7 (= @t42 |tptp.'1'|))) % 0.80/1.08 (define @t44 () (|tptp.'==>'| (|tptp.'==>'| (|tptp.'==>'| @t3 |tptp.'1'|) @t3) @t3)) % 0.80/1.08 (define @t45 () (forall @t7 (= @t44 |tptp.'0'|))) % 0.80/1.08 (define @t46 () (@var "X17" $$unsorted)) % 0.80/1.08 (define @t47 () (|tptp.'==>'| (|tptp.'==>'| @t46 |tptp.'1'|) |tptp.'1'|)) % 0.80/1.08 (define @t48 () (@list @t46)) % 0.80/1.08 (define @t49 () (forall @t48 (= @t47 @t46))) % 0.80/1.08 (define @t50 () (not @t49)) % 0.80/1.08 (define @t51 () (@list |tptp.'0'|)) % 0.80/1.08 (define @t52 () (@quantifiers_skolemize (forall @t48 (= @t46 @t47)) 0)) % 0.80/1.08 (define @t53 () (|tptp.'==>'| @t52 |tptp.'1'|)) % 0.80/1.08 (define @t54 () (|tptp.'==>'| @t53 |tptp.'1'|)) % 0.80/1.08 (define @t55 () (|tptp.'==>'| @t54 @t53)) % 0.80/1.08 (define @t56 () (@list @t55)) % 0.80/1.08 (define @t57 () (|tptp.'+'| @t55 |tptp.'0'|)) % 0.80/1.08 (define @t58 () (@list @t53)) % 0.80/1.08 (define @t59 () (|tptp.'==>'| @t53 @t52)) % 0.80/1.08 (define @t60 () (@list @t59)) % 0.80/1.08 (define @t61 () (not @t15)) % 0.80/1.08 (define @t62 () (not @t16)) % 0.80/1.08 (define @t63 () (or @t62 @t61 @t14)) % 0.80/1.08 (define @t64 () (|tptp.'+'| @t52 @t57)) % 0.80/1.08 (define @t65 () (|tptp.'>='| |tptp.'1'| @t64)) % 0.80/1.08 (define @t66 () (not @t65)) % 0.80/1.08 (define @t67 () (|tptp.'>='| @t64 |tptp.'1'|)) % 0.80/1.08 (define @t68 () (not @t67)) % 0.80/1.08 (define @t69 () (or @t68 @t66 (= @t64 |tptp.'1'|))) % 0.80/1.08 (define @t70 () (forall @t18 @t63)) % 0.80/1.08 (define @t71 () (= |tptp.'1'| @t64)) % 0.80/1.08 (define @t72 () (or @t68 @t66 @t71)) % 0.80/1.08 (define @t73 () (@list false)) % 0.80/1.08 (define @t74 () (@list @t70)) % 0.80/1.08 (define @t75 () (|tptp.'+'| @t55 |tptp.'1'|)) % 0.80/1.08 (define @t76 () (|tptp.'+'| |tptp.'0'| @t55)) % 0.80/1.08 (define @t77 () (|tptp.'+'| |tptp.'1'| @t55)) % 0.80/1.08 (define @t78 () (|tptp.'>='| @t77 @t76)) % 0.80/1.08 (define @t79 () (|tptp.'>='| |tptp.'1'| |tptp.'0'|)) % 0.80/1.08 (define @t80 () (not @t79)) % 0.80/1.08 (define @t81 () (or @t80 @t78)) % 0.80/1.08 (define @t82 () (@list false false)) % 0.80/1.08 (define @t83 () (|tptp.'>='| @t75 @t57)) % 0.80/1.08 (define @t84 () (|tptp.'+'| @t57 @t52)) % 0.80/1.08 (define @t85 () (|tptp.'+'| @t75 @t52)) % 0.80/1.08 (define @t86 () (|tptp.'>='| @t85 @t84)) % 0.80/1.08 (define @t87 () (not @t83)) % 0.80/1.08 (define @t88 () (or @t87 @t86)) % 0.80/1.08 (define @t89 () (@list @t52)) % 0.80/1.08 (define @t90 () (|tptp.'==>'| |tptp.'0'| |tptp.'1'|)) % 0.80/1.08 (define @t91 () (|tptp.'==>'| @t90 |tptp.'0'|)) % 0.80/1.08 (define @t92 () (|tptp.'>='| @t57 @t53)) % 0.80/1.08 (define @t93 () (= @t67 @t92)) % 0.80/1.08 (define @t94 () (= @t92 @t67)) % 0.80/1.08 (define @t95 () (@list @t23)) % 0.80/1.08 (define @t96 () (|tptp.'==>'| @t55 @t53)) % 0.80/1.08 (define @t97 () (|tptp.'>='| |tptp.'0'| @t96)) % 0.80/1.08 (define @t98 () (= @t92 @t97)) % 0.80/1.08 (define @t99 () (not @t92)) % 0.80/1.08 (define @t100 () (@list false false false)) % 0.80/1.08 (define @t101 () (|tptp.'+'| @t53 @t54)) % 0.80/1.08 (define @t102 () (|tptp.'>='| |tptp.'1'| @t101)) % 0.80/1.08 (define @t103 () (not @t102)) % 0.80/1.08 (define @t104 () (|tptp.'>='| @t101 |tptp.'1'|)) % 0.80/1.08 (define @t105 () (not @t104)) % 0.80/1.08 (define @t106 () (or @t105 @t103 (= @t101 |tptp.'1'|))) % 0.80/1.08 (define @t107 () (= |tptp.'1'| @t101)) % 0.80/1.08 (define @t108 () (or @t105 @t103 @t107)) % 0.80/1.08 (define @t109 () (|tptp.'+'| @t52 @t53)) % 0.80/1.08 (define @t110 () (|tptp.'>='| @t109 |tptp.'1'|)) % 0.80/1.08 (define @t111 () (|tptp.'>='| @t53 @t53)) % 0.80/1.08 (define @t112 () (= @t110 @t111)) % 0.80/1.08 (define @t113 () (= @t111 @t110)) % 0.80/1.08 (define @t114 () (@list |tptp.'0'| |tptp.'0'| |tptp.'1'|)) % 0.80/1.08 (define @t115 () (|tptp.'+'| |tptp.'0'| |tptp.'1'|)) % 0.80/1.08 (define @t116 () (|tptp.'>='| @t115 @t115)) % 0.80/1.08 (define @t117 () (|tptp.'>='| |tptp.'0'| |tptp.'0'|)) % 0.80/1.08 (define @t118 () (not @t117)) % 0.80/1.08 (define @t119 () (or @t118 @t116)) % 0.80/1.08 (define @t120 () (|tptp.'>='| |tptp.'1'| |tptp.'1'|)) % 0.80/1.08 (define @t121 () (not @t120)) % 0.80/1.08 (define @t122 () (or @t121 @t111)) % 0.80/1.08 (define @t123 () (not @t111)) % 0.80/1.08 (define @t124 () (|tptp.'+'| @t53 @t52)) % 0.80/1.08 (define @t125 () (|tptp.'>='| @t124 |tptp.'1'|)) % 0.80/1.08 (define @t126 () (|tptp.'>='| @t52 @t54)) % 0.80/1.08 (define @t127 () (= @t125 @t126)) % 0.80/1.08 (define @t128 () (|tptp.'+'| @t54 @t53)) % 0.80/1.08 (define @t129 () (|tptp.'>='| @t109 @t128)) % 0.80/1.08 (define @t130 () (not @t126)) % 0.80/1.08 (define @t131 () (or @t130 @t129)) % 0.80/1.08 (define @t132 () (|tptp.'>='| |tptp.'1'| @t109)) % 0.80/1.08 (define @t133 () (not @t132)) % 0.80/1.08 (define @t134 () (not @t110)) % 0.80/1.08 (define @t135 () (or @t134 @t133 (= @t109 |tptp.'1'|))) % 0.80/1.08 (define @t136 () (= |tptp.'1'| @t109)) % 0.80/1.08 (define @t137 () (or @t134 @t133 @t136)) % 0.80/1.08 (define @t138 () (|tptp.'>='| |tptp.'1'| @t96)) % 0.80/1.08 (define @t139 () (|tptp.'>='| @t75 @t53)) % 0.80/1.08 (define @t140 () (= @t139 @t138)) % 0.80/1.08 (define @t141 () (|tptp.'>='| @t85 @t124)) % 0.80/1.08 (define @t142 () (not @t139)) % 0.80/1.08 (define @t143 () (or @t142 @t141)) % 0.80/1.08 (define @t144 () (|tptp.'>='| @t54 @t54)) % 0.80/1.08 (define @t145 () (= @t104 @t144)) % 0.80/1.08 (define @t146 () (= @t144 @t104)) % 0.80/1.08 (define @t147 () (or @t121 @t144)) % 0.80/1.08 (define @t148 () (|tptp.'>='| @t53 @t57)) % 0.80/1.08 (define @t149 () (not @t148)) % 0.80/1.08 (define @t150 () (or @t99 @t149 (= @t57 @t53))) % 0.80/1.08 (define @t151 () (= @t53 @t57)) % 0.80/1.08 (define @t152 () (or @t99 @t149 @t151)) % 0.80/1.08 (define @t153 () (@list @t90)) % 0.80/1.08 (define @t154 () (|tptp.'+'| |tptp.'0'| @t90)) % 0.80/1.08 (define @t155 () (|tptp.'>='| |tptp.'1'| @t154)) % 0.80/1.08 (define @t156 () (not @t155)) % 0.80/1.08 (define @t157 () (|tptp.'>='| @t154 |tptp.'1'|)) % 0.80/1.08 (define @t158 () (not @t157)) % 0.80/1.08 (define @t159 () (or @t158 @t156 (= @t154 |tptp.'1'|))) % 0.80/1.08 (define @t160 () (= |tptp.'1'| @t154)) % 0.80/1.08 (define @t161 () (or @t158 @t156 @t160)) % 0.80/1.08 (define @t162 () (|tptp.'>='| @t115 |tptp.'1'|)) % 0.80/1.08 (define @t163 () (|tptp.'>='| |tptp.'1'| @t90)) % 0.80/1.08 (define @t164 () (= @t162 @t163)) % 0.80/1.08 (define @t165 () (|tptp.'>='| @t90 @t90)) % 0.80/1.08 (define @t166 () (= @t157 @t165)) % 0.80/1.08 (define @t167 () (= @t165 @t157)) % 0.80/1.08 (define @t168 () (or @t118 @t165)) % 0.80/1.08 (define @t169 () (|tptp.'+'| @t90 |tptp.'0'|)) % 0.80/1.08 (define @t170 () (= @t154 @t169)) % 0.80/1.08 (define @t171 () (|tptp.'+'| @t90 @t90)) % 0.80/1.08 (define @t172 () (|tptp.'>='| @t128 @t53)) % 0.80/1.08 (define @t173 () (|tptp.'>='| @t53 @t55)) % 0.80/1.08 (define @t174 () (= @t172 @t173)) % 0.80/1.08 (define @t175 () (|tptp.'+'| @t53 @t59)) % 0.80/1.08 (define @t176 () (|tptp.'==>'| @t53 @t175)) % 0.80/1.08 (define @t177 () (|tptp.'>='| @t175 @t52)) % 0.80/1.08 (define @t178 () (|tptp.'>='| @t59 @t59)) % 0.80/1.08 (define @t179 () (= @t177 @t178)) % 0.80/1.08 (define @t180 () (= @t178 @t177)) % 0.80/1.08 (define @t181 () (or @t123 @t178)) % 0.80/1.08 (define @t182 () (|tptp.'>='| @t176 @t59)) % 0.80/1.08 (define @t183 () (not @t177)) % 0.80/1.08 (define @t184 () (or @t183 @t182)) % 0.80/1.08 (define @t185 () (|tptp.'>='| @t175 @t175)) % 0.80/1.08 (define @t186 () (or @t123 @t185)) % 0.80/1.08 (define @t187 () (|tptp.'>='| @t59 @t176)) % 0.80/1.08 (define @t188 () (= @t185 @t187)) % 0.80/1.08 (define @t189 () (= @t59 @t176)) % 0.80/1.08 (define @t190 () (not @t182)) % 0.80/1.08 (define @t191 () (not @t187)) % 0.80/1.08 (define @t192 () (or @t191 @t190 @t189)) % 0.80/1.08 (define @t193 () (|tptp.'+'| @t59 |tptp.'0'|)) % 0.80/1.08 (define @t194 () (|tptp.'>='| @t52 @t193)) % 0.80/1.08 (define @t195 () (not @t194)) % 0.80/1.08 (define @t196 () (|tptp.'>='| @t193 @t52)) % 0.80/1.08 (define @t197 () (not @t196)) % 0.80/1.08 (define @t198 () (or @t197 @t195 (= @t193 @t52))) % 0.80/1.08 (define @t199 () (= @t52 @t193)) % 0.80/1.08 (define @t200 () (or @t197 @t195 @t199)) % 0.80/1.08 (define @t201 () (|tptp.'==>'| @t59 @t52)) % 0.80/1.08 (define @t202 () (|tptp.'>='| |tptp.'1'| @t201)) % 0.80/1.08 (define @t203 () (|tptp.'>='| (|tptp.'+'| @t59 |tptp.'1'|) @t52)) % 0.80/1.08 (define @t204 () (= @t203 @t202)) % 0.80/1.08 (define @t205 () (|tptp.'>='| @t84 @t52)) % 0.80/1.08 (define @t206 () (|tptp.'>='| @t52 (|tptp.'==>'| @t57 @t52))) % 0.80/1.08 (define @t207 () (= @t205 @t206)) % 0.80/1.08 (define @t208 () (|tptp.'>='| |tptp.'0'| @t201)) % 0.80/1.08 (define @t209 () (= @t196 @t208)) % 0.80/1.08 (define @t210 () (|tptp.'+'| |tptp.'1'| |tptp.'0'|)) % 0.80/1.08 (define @t211 () (= @t115 @t210)) % 0.80/1.08 (define @t212 () (= |tptp.'1'| @t115)) % 0.80/1.08 (define @t213 () (= @t57 @t76)) % 0.80/1.08 (define @t214 () (= @t55 @t57)) % 0.80/1.08 (define @t215 () (= @t64 @t84)) % 0.80/1.08 (define @t216 () (= @t53 (|tptp.'+'| @t53 |tptp.'0'|))) % 0.80/1.08 (define @t217 () (= @t59 @t193)) % 0.80/1.08 (define @t218 () (= @t52 @t54)) % 0.80/1.08 (define @t219 () (and @t211 @t212 @t213 @t214 @t151 @t215 @t107 @t71 @t216 @t217 @t199 @t189)) % 0.80/1.08 (assume @p1 (forall (@list @t3 @t2 @t1) (= (|tptp.'+'| @t4 @t1) (|tptp.'+'| @t3 (|tptp.'+'| @t2 @t1))))) % 0.80/1.08 (assume @p2 @t5) % 0.80/1.08 (assume @p3 @t8) % 0.80/1.08 (assume @p4 (forall @t7 (|tptp.'>='| @t3 @t3))) % 0.80/1.08 (assume @p5 (forall (@list @t10 @t11 @t9) (=> (and (|tptp.'>='| @t10 @t11) (|tptp.'>='| @t11 @t9)) (|tptp.'>='| @t10 @t9)))) % 0.80/1.08 (assume @p6 @t19) % 0.80/1.08 (assume @p7 @t23) % 0.80/1.08 (assume @p8 (forall @t7 (|tptp.'>='| @t3 |tptp.'0'|))) % 0.80/1.08 (assume @p9 @t29) % 0.80/1.08 (assume @p10 @t35) % 0.80/1.08 (assume @p11 @t41) % 0.80/1.08 (assume @p12 @t43) % 0.80/1.08 (assume @p13 @t45) % 0.80/1.08 (assume @p14 @t50) % 0.80/1.08 (assume @p15 true) % 0.80/1.08 (step @p16 :rule eq-symm :args (@t47 @t46)) % 0.80/1.08 (step @p17 :rule cong :premises (@p16) :args (@t49)) % 0.80/1.08 (step @p18 :rule cong :premises (@p17) :args (@t50)) % 0.80/1.08 (step @p19 :rule eq_resolve :premises (@p14 @p18)) % 0.80/1.08 (step @p20 :rule skolemize :premises (@p19)) % 0.80/1.08 (step @p21 :rule instantiate :premises (@p2) :args ((@list |tptp.'0'| |tptp.'1'|))) % 0.80/1.08 (step @p22 :rule eq-symm :args (@t42 |tptp.'1'|)) % 0.80/1.08 (step @p23 :rule cong :premises (@p22) :args (@t43)) % 0.80/1.08 (step @p24 :rule eq_resolve :premises (@p12 @p23)) % 0.80/1.08 (step @p25 :rule instantiate :premises (@p24) :args (@t51)) % 0.80/1.08 (step @p26 :rule instantiate :premises (@p2) :args ((@list @t55 |tptp.'0'|))) % 0.80/1.08 (step @p27 :rule eq-symm :args (@t6 @t3)) % 0.80/1.08 (step @p28 :rule cong :premises (@p27) :args (@t8)) % 0.80/1.08 (step @p29 :rule eq_resolve :premises (@p3 @p28)) % 0.80/1.08 (step @p30 :rule instantiate :premises (@p29) :args (@t56)) % 0.80/1.08 (step @p31 :rule instantiate :premises (@p2) :args ((@list @t52 @t57))) % 0.80/1.08 (step @p32 :rule instantiate :premises (@p29) :args (@t58)) % 0.80/1.08 (step @p33 :rule instantiate :premises (@p29) :args (@t60)) % 0.80/1.08 (step @p34 :rule aci_norm :args ((= (or (or @t62 @t61) @t14) @t63))) % 0.80/1.08 (step @p35 :rule 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(assume-push @p517 @t71) % 0.80/1.09 (assume-push @p518 @t216) % 0.80/1.09 (assume-push @p519 @t217) % 0.80/1.09 (assume-push @p520 @t199) % 0.80/1.09 (assume-push @p521 @t189) % 0.80/1.09 (step @p447 :rule cong :premises (@p244 @p323) :args ((|tptp.'==>'| @t53 @t101))) % 0.80/1.09 (step @p448 :rule symm :premises (@p21)) % 0.80/1.09 (step @p449 :rule trans :premises (@p448 @p270 @p229)) % 0.80/1.09 (step @p450 :rule symm :premises (@p341)) % 0.80/1.09 (step @p451 :rule trans :premises (@p30 @p450)) % 0.80/1.09 (step @p452 :rule cong :premises (@p451 @p449) :args ((|tptp.'==>'| @t55 @t210))) % 0.80/1.09 (step @p453 :rule symm :premises (@p26)) % 0.80/1.09 (step @p454 :rule cong :premises (@p453 @p76) :args ((|tptp.'+'| @t76 @t52))) % 0.80/1.09 (step @p455 :rule symm :premises (@p434)) % 0.80/1.09 (step @p456 :rule trans :premises (@p33 @p455)) % 0.80/1.09 (step @p457 :rule symm :premises (@p32)) % 0.80/1.09 (step @p458 :rule trans :premises (@p457 @p341 @p335)) % 0.80/1.09 (step @p459 :rule trans :premises (@p32 @p458 @p30 @p26)) % 0.80/1.09 (step @p460 :rule cong :premises (@p459 @p456) :args (@t175)) % 0.80/1.09 (step @p461 :rule trans :premises (@p460 @p454 @p409 @p408 @p25 @p21)) % 0.80/1.09 (step @p462 :rule refl :args (@t55)) % 0.80/1.09 (step @p463 :rule cong :premises (@p462 @p461) :args ((|tptp.'==>'| @t55 @t175))) % 0.80/1.09 (step @p464 :rule refl :args (@t175)) % 0.80/1.09 (step @p465 :rule symm :premises (@p451)) % 0.80/1.09 (step @p466 :rule cong :premises (@p465 @p464) :args (@t176)) % 0.80/1.09 (step @p467 :rule trans :premises (@p434 @p420 @p373 @p466 @p463 @p452 @p447)) % 0.80/1.09 (step-pop @p522 :rule scope :premises (@p467)) % 0.80/1.09 (step-pop @p523 :rule scope :premises (@p522)) % 0.80/1.09 (step-pop @p524 :rule scope :premises (@p523)) % 0.80/1.09 (step-pop @p525 :rule scope :premises (@p524)) % 0.80/1.09 (step-pop @p526 :rule scope :premises (@p525)) % 0.80/1.09 (step-pop @p527 :rule scope :premises (@p526)) % 0.80/1.09 (step-pop @p528 :rule scope :premises (@p527)) % 0.80/1.09 (step-pop @p529 :rule scope :premises (@p528)) % 0.80/1.09 (step-pop @p530 :rule scope :premises (@p529)) % 0.80/1.09 (step-pop @p531 :rule scope :premises (@p530)) % 0.80/1.09 (step-pop @p532 :rule scope :premises (@p531)) % 0.80/1.09 (step-pop @p533 :rule scope :premises (@p532)) % 0.80/1.09 (step @p468 :rule process_scope :premises (@p533) :args (@t218)) % 0.80/1.09 (step @p481 :rule implies_elim :premises (@p468)) % 0.80/1.09 (step @p482 :rule cnf_and_neg :args (@t219)) % 0.80/1.09 (step @p483 :rule resolution :premises (@p482 @p481) :args (true @t219)) % 0.80/1.09 (step @p484 :rule reordering :premises (@p483) :args ((or @t218 (not @t211) (not @t212) (not @t213) (not @t214) (not @t151) (not @t215) (not @t107) (not @t71) (not @t216) (not @t217) (not @t199) (not @t189)))) % 0.80/1.09 (step @p485 false :rule chain_m_resolution :premises (@p484 @p434 @p373 @p341 @p229 @p116 @p33 @p32 @p31 @p30 @p26 @p25 @p21 @p20) :args (false (@list false false false false false false false false false false false false true) (@list @t199 @t189 @t151 @t107 @t71 @t217 @t216 @t215 @t214 @t213 @t212 @t211 @t218))) % 0.80/1.09 ) % 0.80/1.09 % SZS output end Proof % 0.80/1.09 % cvc5 exiting %------------------------------------------------------------------------------