%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP049-1 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 09:15:53 AM UTC 2026 % Result : Unsatisfiable 1.12s 1.34s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : TOP049-1 : TPTP v9.2.1. Released v8.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.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 : Wed Jun 3 01:29:13 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.12/1.34 % SZS status Unsatisfiable % 1.12/1.34 % SZS output start Proof % 1.12/1.35 ( % 1.12/1.35 (declare-sort $$unsorted 0) % 1.12/1.35 (declare-const tptp.a8 $$unsorted) % 1.12/1.35 (declare-const tptp.a6 $$unsorted) % 1.12/1.35 (declare-const tptp.a10 $$unsorted) % 1.12/1.35 (declare-const tptp.a4 $$unsorted) % 1.12/1.35 (declare-const tptp.a3 $$unsorted) % 1.12/1.35 (declare-const tptp.tuple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.a2 $$unsorted) % 1.12/1.35 (declare-const tptp.a1 $$unsorted) % 1.12/1.35 (declare-const tptp.a5 $$unsorted) % 1.12/1.35 (declare-const tptp.a9 $$unsorted) % 1.12/1.35 (declare-const tptp.a7 $$unsorted) % 1.12/1.35 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (define @t1 () (@var "X" $$unsorted)) % 1.12/1.35 (define @t2 () (tptp.product @t1 @t1)) % 1.12/1.35 (define @t3 () (forall (@list @t1) (= @t2 @t1))) % 1.12/1.35 (define @t4 () (@var "Y" $$unsorted)) % 1.12/1.35 (define @t5 () (tptp.product @t1 @t4)) % 1.12/1.35 (define @t6 () (tptp.product @t5 @t4)) % 1.12/1.35 (define @t7 () (forall (@list @t1 @t4) (= @t6 @t1))) % 1.12/1.35 (define @t8 () (@var "Z" $$unsorted)) % 1.12/1.35 (define @t9 () (forall (@list @t1 @t4 @t8) (= (tptp.product @t5 @t8) (tptp.product (tptp.product @t1 @t8) (tptp.product @t4 @t8))))) % 1.12/1.35 (define @t10 () (tptp.product tptp.a9 tptp.a7)) % 1.12/1.35 (define @t11 () (= tptp.a1 @t10)) % 1.12/1.35 (define @t12 () (tptp.product tptp.a1 tptp.a2)) % 1.12/1.35 (define @t13 () (= tptp.a3 @t12)) % 1.12/1.35 (define @t14 () (tptp.product tptp.a3 tptp.a4)) % 1.12/1.35 (define @t15 () (= tptp.a2 @t14)) % 1.12/1.35 (define @t16 () (tptp.product tptp.a2 tptp.a10)) % 1.12/1.35 (define @t17 () (= tptp.a5 @t16)) % 1.12/1.35 (define @t18 () (tptp.product tptp.a5 tptp.a4)) % 1.12/1.35 (define @t19 () (= tptp.a6 @t18)) % 1.12/1.35 (define @t20 () (tptp.product tptp.a6 tptp.a1)) % 1.12/1.35 (define @t21 () (= tptp.a7 @t20)) % 1.12/1.35 (define @t22 () (tptp.product tptp.a7 tptp.a4)) % 1.12/1.35 (define @t23 () (= tptp.a8 @t22)) % 1.12/1.35 (define @t24 () (tptp.product tptp.a8 tptp.a9)) % 1.12/1.35 (define @t25 () (= tptp.a10 @t24)) % 1.12/1.35 (define @t26 () (tptp.product tptp.a10 tptp.a3)) % 1.12/1.35 (define @t27 () (= tptp.a4 @t26)) % 1.12/1.35 (define @t28 () (tptp.product tptp.a4 tptp.a8)) % 1.12/1.35 (define @t29 () (= tptp.a9 @t28)) % 1.12/1.35 (define @t30 () (tptp.tuple tptp.a1 tptp.a9 tptp.a8 tptp.a6 tptp.a7 tptp.a2 tptp.a3 tptp.a4 tptp.a5)) % 1.12/1.35 (define @t31 () (= @t30 (tptp.tuple tptp.a2 tptp.a10 tptp.a9 tptp.a7 tptp.a8 tptp.a3 tptp.a4 tptp.a5 tptp.a6))) % 1.12/1.35 (define @t32 () (tptp.product tptp.a4 tptp.a1)) % 1.12/1.35 (define @t33 () (tptp.product tptp.a5 tptp.a1)) % 1.12/1.35 (define @t34 () (tptp.product tptp.a3 tptp.a8)) % 1.12/1.35 (define @t35 () (tptp.product tptp.a10 tptp.a8)) % 1.12/1.35 (define @t36 () (tptp.product tptp.a2 tptp.a4)) % 1.12/1.35 (define @t37 () (tptp.product tptp.a1 tptp.a4)) % 1.12/1.35 (define @t38 () (tptp.product tptp.a10 tptp.a4)) % 1.12/1.35 (define @t39 () (tptp.product tptp.a6 tptp.a4)) % 1.12/1.35 (define @t40 () (tptp.product tptp.a9 tptp.a3)) % 1.12/1.35 (define @t41 () (tptp.product tptp.a4 tptp.a9)) % 1.12/1.35 (define @t42 () (tptp.product tptp.a7 tptp.a9)) % 1.12/1.35 (define @t43 () (tptp.product @t37 tptp.a3)) % 1.12/1.35 (define @t44 () (tptp.product @t39 tptp.a3)) % 1.12/1.35 (define @t45 () (tptp.product @t32 tptp.a2)) % 1.12/1.35 (define @t46 () (tptp.product @t34 tptp.a2)) % 1.12/1.35 (define @t47 () (tptp.product tptp.a4 @t37)) % 1.12/1.35 (define @t48 () (tptp.product @t41 tptp.a8)) % 1.12/1.35 (define @t49 () (tptp.product @t42 tptp.a8)) % 1.12/1.35 (define @t50 () (tptp.product @t34 tptp.a3)) % 1.12/1.35 (define @t51 () (tptp.product @t38 tptp.a4)) % 1.12/1.35 (define @t52 () (tptp.product @t36 tptp.a4)) % 1.12/1.35 (define @t53 () (tptp.product @t37 tptp.a4)) % 1.12/1.35 (define @t54 () (tptp.product tptp.a3 @t40)) % 1.12/1.35 (define @t55 () (tptp.product tptp.a1 @t36)) % 1.12/1.35 (define @t56 () (tptp.product @t37 tptp.a10)) % 1.12/1.35 (define @t57 () (tptp.product tptp.a2 @t45)) % 1.12/1.35 (define @t58 () (tptp.product tptp.a2 @t46)) % 1.12/1.35 (define @t59 () (tptp.product tptp.a3 @t50)) % 1.12/1.35 (define @t60 () (tptp.product @t56 tptp.a4)) % 1.12/1.35 (define @t61 () (tptp.product @t53 @t38)) % 1.12/1.35 (define @t62 () (= @t60 @t61)) % 1.12/1.35 (define @t63 () (= @t61 @t60)) % 1.12/1.35 (define @t64 () (tptp.product tptp.a7 tptp.a2)) % 1.12/1.35 (define @t65 () (tptp.product @t35 tptp.a4)) % 1.12/1.35 (define @t66 () (tptp.product @t56 @t43)) % 1.12/1.35 (define @t67 () (tptp.product tptp.a8 tptp.a3)) % 1.12/1.35 (define @t68 () (tptp.product @t40 @t54)) % 1.12/1.35 (define @t69 () (tptp.product tptp.a8 @t54)) % 1.12/1.35 (define @t70 () (tptp.product tptp.a1 @t38)) % 1.12/1.35 (define @t71 () (tptp.product tptp.a9 tptp.a2)) % 1.12/1.35 (define @t72 () (tptp.product @t10 tptp.a2)) % 1.12/1.35 (define @t73 () (= @t72 (tptp.product @t71 @t64))) % 1.12/1.35 (define @t74 () (tptp.product @t37 @t36)) % 1.12/1.35 (define @t75 () (tptp.product @t12 tptp.a4)) % 1.12/1.35 (define @t76 () (= @t75 @t74)) % 1.12/1.35 (define @t77 () (tptp.product @t36 @t38)) % 1.12/1.35 (define @t78 () (tptp.product @t16 tptp.a4)) % 1.12/1.35 (define @t79 () (= @t78 @t77)) % 1.12/1.35 (define @t80 () (tptp.product @t33 @t32)) % 1.12/1.35 (define @t81 () (tptp.product @t18 tptp.a1)) % 1.12/1.35 (define @t82 () (= @t81 @t80)) % 1.12/1.35 (define @t83 () (tptp.product @t39 @t37)) % 1.12/1.35 (define @t84 () (= (tptp.product @t20 tptp.a4) @t83)) % 1.12/1.35 (define @t85 () (tptp.product @t42 @t41)) % 1.12/1.35 (define @t86 () (tptp.product @t22 tptp.a9)) % 1.12/1.35 (define @t87 () (= @t86 @t85)) % 1.12/1.35 (define @t88 () (tptp.product @t67 @t40)) % 1.12/1.35 (define @t89 () (tptp.product @t24 tptp.a3)) % 1.12/1.35 (define @t90 () (= @t89 @t88)) % 1.12/1.35 (define @t91 () (tptp.product @t35 @t34)) % 1.12/1.35 (define @t92 () (tptp.product @t26 tptp.a8)) % 1.12/1.35 (define @t93 () (= @t92 @t91)) % 1.12/1.35 (define @t94 () (= tptp.a3 (tptp.product @t14 tptp.a4))) % 1.12/1.35 (define @t95 () (tptp.product @t18 tptp.a4)) % 1.12/1.35 (define @t96 () (= tptp.a5 @t95)) % 1.12/1.35 (define @t97 () (tptp.product (tptp.product @t33 tptp.a2) @t45)) % 1.12/1.35 (define @t98 () (tptp.product @t80 tptp.a2)) % 1.12/1.35 (define @t99 () (= @t98 @t97)) % 1.12/1.35 (define @t100 () (tptp.product (tptp.product @t35 tptp.a2) @t46)) % 1.12/1.35 (define @t101 () (tptp.product @t91 tptp.a2)) % 1.12/1.35 (define @t102 () (= @t101 @t100)) % 1.12/1.35 (define @t103 () (tptp.product @t53 @t52)) % 1.12/1.35 (define @t104 () (tptp.product @t74 tptp.a4)) % 1.12/1.35 (define @t105 () (= @t104 @t103)) % 1.12/1.35 (define @t106 () (tptp.product tptp.a4 @t36)) % 1.12/1.35 (define @t107 () (= @t74 (tptp.product @t55 @t106))) % 1.12/1.35 (define @t108 () (tptp.product tptp.a4 @t38)) % 1.12/1.35 (define @t109 () (= @t77 (tptp.product (tptp.product tptp.a2 @t38) @t108))) % 1.12/1.35 (define @t110 () (tptp.product @t52 @t51)) % 1.12/1.35 (define @t111 () (= (tptp.product @t77 tptp.a4) @t110)) % 1.12/1.35 (define @t112 () (tptp.product (tptp.product tptp.a6 @t37) @t47)) % 1.12/1.35 (define @t113 () (= @t83 @t112)) % 1.12/1.35 (define @t114 () (tptp.product @t35 tptp.a3)) % 1.12/1.35 (define @t115 () (tptp.product @t114 @t50)) % 1.12/1.35 (define @t116 () (tptp.product @t91 tptp.a3)) % 1.12/1.35 (define @t117 () (= @t116 @t115)) % 1.12/1.35 (define @t118 () (tptp.product @t44 @t43)) % 1.12/1.35 (define @t119 () (= (tptp.product @t83 tptp.a3) @t118)) % 1.12/1.35 (define @t120 () (tptp.product (tptp.product tptp.a8 @t40) @t54)) % 1.12/1.35 (define @t121 () (= @t88 @t120)) % 1.12/1.35 (define @t122 () (tptp.product @t49 @t48)) % 1.12/1.35 (define @t123 () (tptp.product @t85 tptp.a8)) % 1.12/1.35 (define @t124 () (= @t123 @t122)) % 1.12/1.35 (define @t125 () (= tptp.a1 @t53)) % 1.12/1.35 (define @t126 () (tptp.product tptp.a10 @t36)) % 1.12/1.35 (define @t127 () (tptp.product @t126 @t36)) % 1.12/1.35 (define @t128 () (= tptp.a10 @t127)) % 1.12/1.35 (define @t129 () (= tptp.a10 @t51)) % 1.12/1.35 (define @t130 () (tptp.product @t43 @t40)) % 1.12/1.35 (define @t131 () (tptp.product @t44 @t40)) % 1.12/1.35 (define @t132 () (tptp.product @t131 @t130)) % 1.12/1.35 (define @t133 () (= (tptp.product @t118 @t40) @t132)) % 1.12/1.35 (define @t134 () (tptp.product (tptp.product @t33 @t45) @t57)) % 1.12/1.35 (define @t135 () (= @t97 @t134)) % 1.12/1.35 (define @t136 () (tptp.product (tptp.product @t35 @t46) @t58)) % 1.12/1.35 (define @t137 () (= @t100 @t136)) % 1.12/1.35 (define @t138 () (tptp.product (tptp.product tptp.a6 @t47) (tptp.product @t37 @t47))) % 1.12/1.35 (define @t139 () (= @t112 @t138)) % 1.12/1.35 (define @t140 () (tptp.product (tptp.product @t49 tptp.a3) (tptp.product @t48 tptp.a3))) % 1.12/1.35 (define @t141 () (tptp.product @t122 tptp.a3)) % 1.12/1.35 (define @t142 () (= @t141 @t140)) % 1.12/1.35 (define @t143 () (tptp.product (tptp.product @t35 @t50) @t59)) % 1.12/1.35 (define @t144 () (= @t115 @t143)) % 1.12/1.35 (define @t145 () (tptp.product @t51 tptp.a3)) % 1.12/1.35 (define @t146 () (tptp.product @t52 tptp.a3)) % 1.12/1.35 (define @t147 () (tptp.product @t146 @t145)) % 1.12/1.35 (define @t148 () (= (tptp.product @t110 tptp.a3) @t147)) % 1.12/1.35 (define @t149 () (tptp.product @t103 @t40)) % 1.12/1.35 (define @t150 () (= @t149 (tptp.product (tptp.product @t53 @t40) (tptp.product @t52 @t40)))) % 1.12/1.35 (define @t151 () (tptp.product @t69 @t68)) % 1.12/1.35 (define @t152 () (= @t120 @t151)) % 1.12/1.35 (define @t153 () (tptp.product @t74 @t126)) % 1.12/1.35 (define @t154 () (tptp.product @t56 @t36)) % 1.12/1.35 (define @t155 () (= @t154 @t153)) % 1.12/1.35 (define @t156 () (tptp.product @t22 @t36)) % 1.12/1.35 (define @t157 () (tptp.product @t64 tptp.a4)) % 1.12/1.35 (define @t158 () (= @t157 @t156)) % 1.12/1.35 (define @t159 () (tptp.product @t39 @t36)) % 1.12/1.35 (define @t160 () (tptp.product tptp.a6 tptp.a2)) % 1.12/1.35 (define @t161 () (tptp.product @t160 tptp.a4)) % 1.12/1.35 (define @t162 () (= @t161 @t159)) % 1.12/1.35 (define @t163 () (= tptp.a1 (tptp.product tptp.a1 tptp.a1))) % 1.12/1.35 (define @t164 () (= tptp.a10 (tptp.product tptp.a10 tptp.a10))) % 1.12/1.35 (define @t165 () (tptp.product @t55 tptp.a10)) % 1.12/1.35 (define @t166 () (tptp.product @t165 tptp.a10)) % 1.12/1.35 (define @t167 () (= @t55 @t166)) % 1.12/1.35 (define @t168 () (= tptp.a8 (tptp.product @t24 tptp.a9))) % 1.12/1.35 (define @t169 () (= @t37 (tptp.product @t43 tptp.a3))) % 1.12/1.35 (define @t170 () (= tptp.a1 (tptp.product (tptp.product tptp.a1 @t43) @t43))) % 1.12/1.35 (define @t171 () (tptp.product @t154 tptp.a4)) % 1.12/1.35 (define @t172 () (= @t171 (tptp.product @t60 @t52))) % 1.12/1.35 (define @t173 () (tptp.product (tptp.product @t33 @t57) (tptp.product @t45 @t57))) % 1.12/1.35 (define @t174 () (= @t134 @t173)) % 1.12/1.35 (define @t175 () (tptp.product (tptp.product @t35 @t58) (tptp.product @t46 @t58))) % 1.12/1.35 (define @t176 () (= @t136 @t175)) % 1.12/1.35 (define @t177 () (= @t143 (tptp.product (tptp.product @t35 @t59) (tptp.product @t50 @t59)))) % 1.12/1.35 (define @t178 () (tptp.product @t154 @t43)) % 1.12/1.35 (define @t179 () (= @t178 (tptp.product @t66 (tptp.product @t36 @t43)))) % 1.12/1.35 (define @t180 () (tptp.product @t18 @t53)) % 1.12/1.35 (define @t181 () (= (tptp.product (tptp.product tptp.a5 @t37) tptp.a4) @t180)) % 1.12/1.35 (define @t182 () (tptp.product @t51 @t36)) % 1.12/1.35 (define @t183 () (tptp.product (tptp.product @t38 tptp.a2) tptp.a4)) % 1.12/1.35 (define @t184 () (= @t183 @t182)) % 1.12/1.35 (define @t185 () (tptp.product @t37 @t51)) % 1.12/1.35 (define @t186 () (tptp.product @t70 tptp.a4)) % 1.12/1.35 (define @t187 () (= @t186 @t185)) % 1.12/1.35 (define @t188 () (tptp.product tptp.a9 @t36)) % 1.12/1.35 (define @t189 () (tptp.product @t154 @t188)) % 1.12/1.35 (define @t190 () (tptp.product (tptp.product @t56 tptp.a9) @t36)) % 1.12/1.35 (define @t191 () (= @t190 @t189)) % 1.12/1.35 (define @t192 () (tptp.product @t26 @t67)) % 1.12/1.35 (define @t193 () (= @t114 @t192)) % 1.12/1.35 (define @t194 () (tptp.product tptp.a1 tptp.a3)) % 1.12/1.35 (define @t195 () (tptp.product @t194 tptp.a4)) % 1.12/1.35 (define @t196 () (= @t195 (tptp.product @t37 @t14))) % 1.12/1.35 (define @t197 () (tptp.product tptp.a4 tptp.a3)) % 1.12/1.35 (define @t198 () (tptp.product @t114 @t197)) % 1.12/1.35 (define @t199 () (tptp.product @t65 tptp.a3)) % 1.12/1.35 (define @t200 () (= @t199 @t198)) % 1.12/1.35 (define @t201 () (tptp.product tptp.a5 tptp.a3)) % 1.12/1.35 (define @t202 () (tptp.product @t201 tptp.a4)) % 1.12/1.35 (define @t203 () (= @t202 (tptp.product @t18 @t14))) % 1.12/1.35 (define @t204 () (tptp.product @t157 tptp.a4)) % 1.12/1.35 (define @t205 () (= @t64 @t204)) % 1.12/1.35 (define @t206 () (= @t65 (tptp.product @t199 tptp.a3))) % 1.12/1.35 (define @t207 () (tptp.product @t66 tptp.a1)) % 1.12/1.35 (define @t208 () (tptp.product @t207 tptp.a1)) % 1.12/1.35 (define @t209 () (= @t66 @t208)) % 1.12/1.35 (define @t210 () (= tptp.a9 (tptp.product @t10 tptp.a7))) % 1.12/1.35 (define @t211 () (tptp.product @t88 @t40)) % 1.12/1.35 (define @t212 () (= @t67 @t211)) % 1.12/1.35 (define @t213 () (tptp.product @t151 @t68)) % 1.12/1.35 (define @t214 () (= @t69 @t213)) % 1.12/1.35 (define @t215 () (tptp.product @t186 tptp.a4)) % 1.12/1.35 (define @t216 () (= @t215 (tptp.product @t186 (tptp.product tptp.a4 tptp.a4)))) % 1.12/1.35 (define @t217 () (tptp.product @t37 @t52)) % 1.12/1.35 (define @t218 () (tptp.product @t43 @t52)) % 1.12/1.35 (define @t219 () (= @t218 (tptp.product @t217 (tptp.product tptp.a3 @t52)))) % 1.12/1.35 (define @t220 () (tptp.product @t199 @t67)) % 1.12/1.35 (define @t221 () (= (tptp.product (tptp.product @t65 tptp.a8) tptp.a3) @t220)) % 1.12/1.35 (define @t222 () (tptp.product @t64 tptp.a3)) % 1.12/1.35 (define @t223 () (tptp.product tptp.a3 @t43)) % 1.12/1.35 (define @t224 () (tptp.product @t56 @t64)) % 1.12/1.35 (define @t225 () (tptp.product @t64 @t38)) % 1.12/1.35 (define @t226 () (tptp.product @t225 @t108)) % 1.12/1.35 (define @t227 () (tptp.product @t71 tptp.a2)) % 1.12/1.35 (define @t228 () (tptp.product @t114 tptp.a9)) % 1.12/1.35 (define @t229 () (tptp.product @t228 tptp.a4)) % 1.12/1.35 (define @t230 () (tptp.product @t70 @t64)) % 1.12/1.35 (define @t231 () (tptp.product @t40 tptp.a4)) % 1.12/1.35 (define @t232 () (and @t11 @t13 @t15 @t17 @t19 @t21 @t23 @t25 @t27 @t29 @t73 @t76 @t79 @t82 @t84 @t87 @t90 @t93 @t94 @t96 @t99 @t102 @t105 @t107 @t109 @t111 @t113 @t117 @t119 @t121 @t124 @t125 @t128 @t129 @t133 @t135 @t137 @t139 @t142 @t144 @t148 @t150 @t152 @t155 @t158 @t162 @t163 @t164 @t167 @t168 @t169 @t170 @t172 @t174 @t176 @t177 @t179 @t181 @t184 @t187 @t191 @t63 @t193 @t196 @t200 @t203 @t205 @t206 @t209 @t210 @t212 @t214 @t216 @t219 @t221)) % 1.12/1.35 (assume @p1 @t3) % 1.12/1.35 (assume @p2 @t7) % 1.12/1.35 (assume @p3 @t9) % 1.12/1.35 (assume @p4 @t11) % 1.12/1.35 (assume @p5 @t13) % 1.12/1.35 (assume @p6 @t15) % 1.12/1.35 (assume @p7 @t17) % 1.12/1.35 (assume @p8 @t19) % 1.12/1.35 (assume @p9 @t21) % 1.12/1.35 (assume @p10 @t23) % 1.12/1.35 (assume @p11 @t25) % 1.12/1.35 (assume @p12 @t27) % 1.12/1.35 (assume @p13 @t29) % 1.12/1.35 (assume @p14 (not @t31)) % 1.12/1.35 (step @p15 :rule instantiate :premises (@p3) :args ((@list tptp.a9 tptp.a7 tptp.a2))) % 1.12/1.35 (step @p16 :rule instantiate :premises (@p3) :args ((@list tptp.a1 tptp.a2 tptp.a4))) % 1.12/1.35 (step @p17 :rule instantiate :premises (@p3) :args ((@list tptp.a2 tptp.a10 tptp.a4))) % 1.12/1.35 (step @p18 :rule instantiate :premises (@p3) :args ((@list tptp.a5 tptp.a4 tptp.a1))) % 1.12/1.35 (step @p19 :rule instantiate :premises (@p3) :args ((@list tptp.a6 tptp.a1 tptp.a4))) % 1.12/1.35 (step @p20 :rule instantiate :premises (@p3) :args ((@list tptp.a7 tptp.a4 tptp.a9))) % 1.12/1.35 (step @p21 :rule instantiate :premises (@p3) :args ((@list tptp.a8 tptp.a9 tptp.a3))) % 1.12/1.35 (step @p22 :rule instantiate :premises (@p3) :args ((@list tptp.a10 tptp.a3 tptp.a8))) % 1.12/1.35 (step @p23 :rule eq-symm :args (@t6 @t1)) % 1.12/1.35 (step @p24 :rule cong :premises (@p23) :args (@t7)) % 1.12/1.35 (step @p25 :rule eq_resolve :premises (@p2 @p24)) % 1.12/1.35 (step @p26 :rule instantiate :premises (@p25) :args ((@list tptp.a3 tptp.a4))) % 1.12/1.35 (step @p27 :rule instantiate :premises (@p25) :args ((@list tptp.a5 tptp.a4))) % 1.12/1.35 (step @p28 :rule instantiate :premises (@p3) :args ((@list @t33 @t32 tptp.a2))) % 1.12/1.35 (step @p29 :rule instantiate :premises (@p3) :args ((@list @t35 @t34 tptp.a2))) % 1.12/1.35 (step @p30 :rule instantiate :premises (@p3) :args ((@list @t37 @t36 tptp.a4))) % 1.12/1.35 (step @p31 :rule instantiate :premises (@p3) :args ((@list tptp.a1 tptp.a4 @t36))) % 1.12/1.35 (step @p32 :rule instantiate :premises (@p3) :args ((@list tptp.a2 tptp.a4 @t38))) % 1.12/1.35 (step @p33 :rule instantiate :premises (@p3) :args ((@list @t36 @t38 tptp.a4))) % 1.12/1.35 (step @p34 :rule instantiate :premises (@p3) :args ((@list tptp.a6 tptp.a4 @t37))) % 1.12/1.35 (step @p35 :rule instantiate :premises (@p3) :args ((@list @t35 @t34 tptp.a3))) % 1.12/1.35 (step @p36 :rule instantiate :premises (@p3) :args ((@list @t39 @t37 tptp.a3))) % 1.12/1.35 (step @p37 :rule instantiate :premises (@p3) :args ((@list tptp.a8 tptp.a3 @t40))) % 1.12/1.35 (step @p38 :rule instantiate :premises (@p3) :args ((@list @t42 @t41 tptp.a8))) % 1.12/1.35 (step @p39 :rule instantiate :premises (@p25) :args ((@list tptp.a1 tptp.a4))) % 1.12/1.35 (step @p40 :rule instantiate :premises (@p25) :args ((@list tptp.a10 @t36))) % 1.12/1.35 (step @p41 :rule instantiate :premises (@p25) :args ((@list tptp.a10 tptp.a4))) % 1.12/1.35 (step @p42 :rule instantiate :premises (@p3) :args ((@list @t44 @t43 @t40))) % 1.12/1.35 (step @p43 :rule instantiate :premises (@p3) :args ((@list @t33 tptp.a2 @t45))) % 1.12/1.35 (step @p44 :rule instantiate :premises (@p3) :args ((@list @t35 tptp.a2 @t46))) % 1.12/1.35 (step @p45 :rule instantiate :premises (@p3) :args ((@list tptp.a6 @t37 @t47))) % 1.12/1.35 (step @p46 :rule instantiate :premises (@p3) :args ((@list @t49 @t48 tptp.a3))) % 1.12/1.35 (step @p47 :rule instantiate :premises (@p3) :args ((@list @t35 tptp.a3 @t50))) % 1.12/1.35 (step @p48 :rule instantiate :premises (@p3) :args ((@list @t52 @t51 tptp.a3))) % 1.12/1.35 (step @p49 :rule instantiate :premises (@p3) :args ((@list @t53 @t52 @t40))) % 1.12/1.35 (step @p50 :rule instantiate :premises (@p3) :args ((@list tptp.a8 @t40 @t54))) % 1.12/1.35 (step @p51 :rule instantiate :premises (@p3) :args ((@list @t37 tptp.a10 @t36))) % 1.12/1.35 (step @p52 :rule instantiate :premises (@p3) :args ((@list tptp.a7 tptp.a2 tptp.a4))) % 1.12/1.35 (step @p53 :rule instantiate :premises (@p3) :args ((@list tptp.a6 tptp.a2 tptp.a4))) % 1.12/1.35 (step @p54 :rule eq-symm :args (@t2 @t1)) % 1.12/1.35 (step @p55 :rule cong :premises (@p54) :args (@t3)) % 1.12/1.35 (step @p56 :rule eq_resolve :premises (@p1 @p55)) % 1.12/1.35 (step @p57 :rule instantiate :premises (@p56) :args ((@list tptp.a1))) % 1.12/1.35 (step @p58 :rule instantiate :premises (@p56) :args ((@list tptp.a10))) % 1.12/1.35 (step @p59 :rule instantiate :premises (@p25) :args ((@list @t55 tptp.a10))) % 1.12/1.35 (step @p60 :rule instantiate :premises (@p25) :args ((@list tptp.a8 tptp.a9))) % 1.12/1.35 (step @p61 :rule instantiate :premises (@p25) :args ((@list @t37 tptp.a3))) % 1.12/1.35 (step @p62 :rule instantiate :premises (@p25) :args ((@list tptp.a1 @t43))) % 1.12/1.35 (step @p63 :rule instantiate :premises (@p3) :args ((@list @t56 @t36 tptp.a4))) % 1.12/1.35 (step @p64 :rule instantiate :premises (@p3) :args ((@list @t33 @t45 @t57))) % 1.12/1.35 (step @p65 :rule instantiate :premises (@p3) :args ((@list @t35 @t46 @t58))) % 1.12/1.35 (step @p66 :rule instantiate :premises (@p3) :args ((@list @t35 @t50 @t59))) % 1.12/1.35 (step @p67 :rule instantiate :premises (@p3) :args ((@list @t56 @t36 @t43))) % 1.12/1.35 (step @p68 :rule instantiate :premises (@p3) :args ((@list tptp.a5 @t37 tptp.a4))) % 1.12/1.35 (step @p69 :rule instantiate :premises (@p3) :args ((@list @t38 tptp.a2 tptp.a4))) % 1.12/1.35 (step @p70 :rule instantiate :premises (@p3) :args ((@list tptp.a1 @t38 tptp.a4))) % 1.12/1.35 (step @p71 :rule instantiate :premises (@p3) :args ((@list @t56 tptp.a9 @t36))) % 1.12/1.35 (step @p72 :rule eq-symm :args (@t60 @t61)) % 1.12/1.35 (step @p73 :rule refl :args (@t9)) % 1.12/1.35 (step @p74 :rule cong :premises (@p73 @p72) :args ((=> @t9 @t62))) % 1.12/1.35 (assume-push @p653 @t9) % 1.12/1.35 (step @p76 :rule instantiate :premises (@p3) :args ((@list @t37 tptp.a10 tptp.a4))) % 1.12/1.35 (step-pop @p654 :rule scope :premises (@p76)) % 1.12/1.35 (step @p77 :rule process_scope :premises (@p654) :args (@t62)) % 1.12/1.35 (step @p79 :rule eq_resolve :premises (@p77 @p74)) % 1.12/1.35 (step @p80 :rule implies_elim :premises (@p79)) % 1.12/1.35 (step @p81 :rule chain_m_resolution :premises (@p80 @p3) :args (@t63 (@list false) (@list @t9))) % 1.12/1.35 (step @p82 :rule instantiate :premises (@p3) :args ((@list tptp.a10 tptp.a8 tptp.a3))) % 1.12/1.35 (step @p83 :rule instantiate :premises (@p3) :args ((@list tptp.a1 tptp.a3 tptp.a4))) % 1.12/1.35 (step @p84 :rule instantiate :premises (@p3) :args ((@list @t35 tptp.a4 tptp.a3))) % 1.12/1.35 (step @p85 :rule instantiate :premises (@p3) :args ((@list tptp.a5 tptp.a3 tptp.a4))) % 1.12/1.35 (step @p86 :rule instantiate :premises (@p25) :args ((@list @t64 tptp.a4))) % 1.12/1.35 (step @p87 :rule instantiate :premises (@p25) :args ((@list @t65 tptp.a3))) % 1.12/1.35 (step @p88 :rule instantiate :premises (@p25) :args ((@list @t66 tptp.a1))) % 1.12/1.35 (step @p89 :rule instantiate :premises (@p25) :args ((@list tptp.a9 tptp.a7))) % 1.12/1.35 (step @p90 :rule instantiate :premises (@p25) :args ((@list @t67 @t40))) % 1.12/1.35 (step @p91 :rule instantiate :premises (@p25) :args ((@list @t69 @t68))) % 1.12/1.35 (step @p92 :rule instantiate :premises (@p3) :args ((@list @t70 tptp.a4 tptp.a4))) % 1.12/1.35 (step @p93 :rule instantiate :premises (@p3) :args ((@list @t37 tptp.a3 @t52))) % 1.12/1.35 (step @p94 :rule instantiate :premises (@p3) :args ((@list @t65 tptp.a8 tptp.a3))) % 1.12/1.35 (assume-push @p655 @t11) % 1.12/1.35 (assume-push @p656 @t13) % 1.12/1.35 (assume-push @p657 @t15) % 1.12/1.35 (assume-push @p658 @t17) % 1.12/1.35 (assume-push @p659 @t19) % 1.12/1.35 (assume-push @p660 @t21) % 1.12/1.35 (assume-push @p661 @t23) % 1.12/1.35 (assume-push @p662 @t25) % 1.12/1.35 (assume-push @p663 @t27) % 1.12/1.35 (assume-push @p664 @t29) % 1.12/1.35 (assume-push @p665 @t73) % 1.12/1.35 (assume-push @p666 @t76) % 1.12/1.35 (assume-push @p667 @t79) % 1.12/1.35 (assume-push @p668 @t82) % 1.12/1.35 (assume-push @p669 @t84) % 1.12/1.35 (assume-push @p670 @t87) % 1.12/1.35 (assume-push @p671 @t90) % 1.12/1.35 (assume-push @p672 @t93) % 1.12/1.35 (assume-push @p673 @t94) % 1.12/1.35 (assume-push @p674 @t96) % 1.12/1.35 (assume-push @p675 @t99) % 1.12/1.35 (assume-push @p676 @t102) % 1.12/1.35 (assume-push @p677 @t105) % 1.12/1.35 (assume-push @p678 @t107) % 1.12/1.35 (assume-push @p679 @t109) % 1.12/1.35 (assume-push @p680 @t111) % 1.12/1.35 (assume-push @p681 @t113) % 1.12/1.35 (assume-push @p682 @t117) % 1.12/1.35 (assume-push @p683 @t119) % 1.12/1.35 (assume-push @p684 @t121) % 1.12/1.35 (assume-push @p685 @t124) % 1.12/1.35 (assume-push @p686 @t125) % 1.12/1.35 (assume-push @p687 @t128) % 1.12/1.35 (assume-push @p688 @t129) % 1.12/1.35 (assume-push @p689 @t133) % 1.12/1.35 (assume-push @p690 @t135) % 1.12/1.35 (assume-push @p691 @t137) % 1.12/1.35 (assume-push @p692 @t139) % 1.12/1.35 (assume-push @p693 @t142) % 1.12/1.35 (assume-push @p694 @t144) % 1.12/1.35 (assume-push @p695 @t148) % 1.12/1.35 (assume-push @p696 @t150) % 1.12/1.35 (assume-push @p697 @t152) % 1.12/1.35 (assume-push @p698 @t155) % 1.12/1.35 (assume-push @p699 @t158) % 1.12/1.35 (assume-push @p700 @t162) % 1.12/1.35 (assume-push @p701 @t163) % 1.12/1.35 (assume-push @p702 @t164) % 1.12/1.35 (assume-push @p703 @t167) % 1.12/1.35 (assume-push @p704 @t168) % 1.12/1.35 (assume-push @p705 @t169) % 1.12/1.35 (assume-push @p706 @t170) % 1.12/1.35 (assume-push @p707 @t172) % 1.12/1.35 (assume-push @p708 @t174) % 1.12/1.35 (assume-push @p709 @t176) % 1.12/1.35 (assume-push @p710 @t177) % 1.12/1.35 (assume-push @p711 @t179) % 1.12/1.35 (assume-push @p712 @t181) % 1.12/1.35 (assume-push @p713 @t184) % 1.12/1.35 (assume-push @p714 @t187) % 1.12/1.35 (assume-push @p715 @t191) % 1.12/1.35 (assume-push @p716 @t63) % 1.12/1.35 (assume-push @p717 @t193) % 1.12/1.35 (assume-push @p718 @t196) % 1.12/1.35 (assume-push @p719 @t200) % 1.12/1.35 (assume-push @p720 @t203) % 1.12/1.35 (assume-push @p721 @t205) % 1.12/1.35 (assume-push @p722 @t206) % 1.12/1.35 (assume-push @p723 @t209) % 1.12/1.35 (assume-push @p724 @t210) % 1.12/1.35 (assume-push @p725 @t212) % 1.12/1.35 (assume-push @p726 @t214) % 1.12/1.35 (assume-push @p727 @t216) % 1.12/1.35 (assume-push @p728 @t219) % 1.12/1.35 (assume-push @p729 @t221) % 1.12/1.35 (step @p170 :rule symm :premises (@p8)) % 1.12/1.35 (step @p171 :rule refl :args (tptp.a4)) % 1.12/1.35 (step @p172 :rule symm :premises (@p7)) % 1.12/1.35 (step @p173 :rule cong :premises (@p172 @p171) :args (@t78)) % 1.12/1.35 (step @p174 :rule refl :args (tptp.a10)) % 1.12/1.35 (step @p175 :rule symm :premises (@p6)) % 1.12/1.35 (step @p176 :rule symm :premises (@p5)) % 1.12/1.35 (step @p177 :rule cong :premises (@p176 @p171) :args (@t75)) % 1.12/1.35 (step @p178 :rule symm :premises (@p16)) % 1.12/1.35 (step @p179 :rule symm :premises (@p31)) % 1.12/1.35 (step @p180 :rule refl :args (@t36)) % 1.12/1.35 (step @p181 :rule symm :premises (@p12)) % 1.12/1.35 (step @p182 :rule symm :premises (@p26)) % 1.12/1.35 (step @p183 :rule cong :premises (@p6 @p171) :args (@t36)) % 1.12/1.35 (step @p184 :rule trans :premises (@p183 @p182)) % 1.12/1.35 (step @p185 :rule cong :premises (@p174 @p184) :args (@t126)) % 1.12/1.35 (step @p186 :rule trans :premises (@p185 @p181)) % 1.12/1.35 (step @p187 :rule cong :premises (@p186 @p180) :args (@t127)) % 1.12/1.35 (step @p188 :rule trans :premises (@p40 @p187)) % 1.12/1.35 (step @p189 :rule refl :args (@t55)) % 1.12/1.35 (step @p190 :rule cong :premises (@p189 @p188) :args (@t165)) % 1.12/1.35 (step @p191 :rule trans :premises (@p190 @p179 @p178 @p177 @p175)) % 1.12/1.35 (step @p192 :rule cong :premises (@p191 @p174) :args (@t166)) % 1.12/1.35 (step @p193 :rule symm :premises (@p184)) % 1.12/1.35 (step @p194 :rule refl :args (tptp.a1)) % 1.12/1.35 (step @p195 :rule cong :premises (@p194 @p193) :args (@t194)) % 1.12/1.35 (step @p196 :rule trans :premises (@p195 @p59 @p192 @p172)) % 1.12/1.35 (step @p197 :rule trans :premises (@p196 @p7)) % 1.12/1.35 (step @p198 :rule cong :premises (@p197 @p171) :args (@t195)) % 1.12/1.35 (step @p199 :rule symm :premises (@p83)) % 1.12/1.35 (step @p200 :rule trans :premises (@p184 @p5)) % 1.12/1.35 (step @p201 :rule cong :premises (@p200 @p171) :args (@t52)) % 1.12/1.35 (step @p202 :rule trans :premises (@p201 @p177)) % 1.12/1.35 (step @p203 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1.12/1.35 (step @p497 :rule cong :premises (@p210 @p311) :args (@t223)) % 1.12/1.35 (step @p498 :rule trans :premises (@p62 @p366 @p497)) % 1.12/1.35 (step @p499 :rule symm :premises (@p204)) % 1.12/1.35 (step @p500 :rule symm :premises (@p198)) % 1.12/1.35 (step @p501 :rule trans :premises (@p8 @p223 @p500 @p83 @p499)) % 1.12/1.35 (step @p502 :rule trans :premises (@p170 @p501)) % 1.12/1.35 (step @p503 :rule cong :premises (@p502 @p498) :args (@t81)) % 1.12/1.35 (step @p504 :rule symm :premises (@p325)) % 1.12/1.35 (step @p505 :rule trans :premises (@p9 @p504 @p503 @p496 @p495 @p491 @p393 @p392 @p391 @p377 @p376 @p88 @p372 @p356 @p355 @p62 @p366 @p468 @p467 @p456 @p455 @p484 @p481 @p254)) % 1.12/1.35 (step @p506 :rule symm :premises (@p503)) % 1.12/1.35 (step @p507 :rule symm :premises (@p495)) % 1.12/1.35 (step @p508 :rule symm :premises (@p491)) % 1.12/1.35 (step @p509 :rule symm :premises (@p354)) % 1.12/1.35 (step @p510 :rule symm :premises (@p352)) % 1.12/1.35 (step @p511 :rule 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:premises (@p194 @p523) :args (@t55)) % 1.12/1.35 (step @p525 :rule symm :premises (@p59)) % 1.12/1.35 (step @p526 :rule symm :premises (@p192)) % 1.12/1.35 (step @p527 :rule symm :premises (@p484)) % 1.12/1.35 (step @p528 :rule symm :premises (@p481)) % 1.12/1.35 (step @p529 :rule trans :premises (@p10 @p528 @p527 @p86 @p323 @p464 @p461 @p362 @p357 @p57 @p442 @p441 @p440 @p439 @p92 @p438 @p51 @p298 @p183 @p182 @p5 @p360 @p437 @p436 @p435 @p85 @p434 @p433 @p432 @p229 @p228 @p7 @p526 @p525 @p524 @p522 @p518 @p512)) % 1.12/1.35 (step @p530 :rule symm :premises (@p90)) % 1.12/1.35 (step @p531 :rule symm :premises (@p384)) % 1.12/1.35 (step @p532 :rule symm :premises (@p382)) % 1.12/1.35 (step @p533 :rule symm :premises (@p380)) % 1.12/1.35 (step @p534 :rule cong :premises (@p448 @p210) :args (@t116)) % 1.12/1.35 (step @p535 :rule symm :premises (@p35)) % 1.12/1.35 (step @p536 :rule symm :premises (@p47)) % 1.12/1.35 (step @p537 :rule symm :premises (@p66)) % 1.12/1.35 (step @p538 :rule 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(@p770)) % 1.12/1.35 (step-pop @p772 :rule scope :premises (@p771)) % 1.12/1.35 (step-pop @p773 :rule scope :premises (@p772)) % 1.12/1.35 (step-pop @p774 :rule scope :premises (@p773)) % 1.12/1.35 (step-pop @p775 :rule scope :premises (@p774)) % 1.12/1.35 (step-pop @p776 :rule scope :premises (@p775)) % 1.12/1.35 (step-pop @p777 :rule scope :premises (@p776)) % 1.12/1.35 (step-pop @p778 :rule scope :premises (@p777)) % 1.12/1.35 (step-pop @p779 :rule scope :premises (@p778)) % 1.12/1.35 (step-pop @p780 :rule scope :premises (@p779)) % 1.12/1.35 (step-pop @p781 :rule scope :premises (@p780)) % 1.12/1.35 (step-pop @p782 :rule scope :premises (@p781)) % 1.12/1.35 (step-pop @p783 :rule scope :premises (@p782)) % 1.12/1.35 (step-pop @p784 :rule scope :premises (@p783)) % 1.12/1.35 (step-pop @p785 :rule scope :premises (@p784)) % 1.12/1.35 (step-pop @p786 :rule scope :premises (@p785)) % 1.12/1.35 (step-pop @p787 :rule scope :premises (@p786)) % 1.12/1.35 (step-pop @p788 :rule scope 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process_scope :premises (@p804) :args (@t31)) % 1.12/1.35 (step @p648 :rule implies_elim :premises (@p572)) % 1.12/1.35 (step @p649 :rule cnf_and_neg :args (@t232)) % 1.12/1.35 (step @p650 :rule resolution :premises (@p649 @p648) :args (true @t232)) % 1.12/1.35 (step @p651 :rule reordering :premises (@p650) :args ((or @t31 (not @t11) (not @t13) (not @t15) (not @t17) (not @t19) (not @t21) (not @t23) (not @t25) (not @t27) (not @t29) (not @t73) (not @t76) (not @t79) (not @t82) (not @t84) (not @t87) (not @t90) (not @t93) (not @t94) (not @t96) (not @t99) (not @t102) (not @t105) (not @t107) (not @t109) (not @t111) (not @t113) (not @t117) (not @t119) (not @t121) (not @t124) (not @t125) (not @t128) (not @t129) (not @t133) (not @t135) (not @t137) (not @t139) (not @t142) (not @t144) (not @t148) (not @t150) (not @t152) (not @t155) (not @t158) (not @t162) (not @t163) (not @t164) (not @t167) (not @t168) (not @t169) (not @t170) (not @t172) (not @t174) (not @t176) (not @t177) (not @t179) (not @t181) (not @t184) (not @t187) (not @t191) (not @t63) (not @t193) (not @t196) (not @t200) (not @t203) (not @t205) (not @t206) (not @t209) (not @t210) (not @t212) (not @t214) (not @t216) (not @t219) (not @t221)))) % 1.12/1.35 (step @p652 false :rule chain_m_resolution :premises (@p651 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p83 @p82 @p81 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p22 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p13 @p12 @p11 @p10 @p9 @p8 @p7 @p6 @p5 @p4) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true false false false false false false false false false false) (@list @t221 @t219 @t216 @t214 @t212 @t210 @t209 @t206 @t205 @t203 @t200 @t196 @t193 @t63 @t191 @t187 @t184 @t181 @t179 @t177 @t176 @t174 @t172 @t170 @t169 @t168 @t167 @t164 @t163 @t162 @t158 @t155 @t152 @t150 @t148 @t144 @t142 @t139 @t137 @t135 @t133 @t129 @t128 @t125 @t124 @t121 @t119 @t117 @t113 @t111 @t109 @t107 @t105 @t102 @t99 @t96 @t94 @t93 @t90 @t87 @t84 @t82 @t79 @t76 @t73 @t31 @t29 @t27 @t25 @t23 @t21 @t19 @t17 @t15 @t13 @t11))) % 1.12/1.35 ) % 1.12/1.35 % SZS output end Proof % 1.12/1.35 % cvc5 exiting %------------------------------------------------------------------------------