%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU788^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:53:12 AM UTC 2026 % Result : Theorem 151.91s 152.19s % Output : Proof 151.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU788^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n026.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 17:51:55 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.51 %----Proving TH0 % 151.91/152.19 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 151.91/152.19 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 151.91/152.19 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 151.91/152.19 --- Run --ho-elim --full-saturate-quant at 18s... % 151.91/152.19 % SZS status Theorem % 151.91/152.19 % SZS output start Proof % 151.91/152.19 ( % 151.91/152.19 (declare-sort $$unsorted 0) % 151.91/152.19 (declare-const tptp.breln1unionE Bool) % 151.91/152.19 (declare-const tptp.breln1unionIR Bool) % 151.91/152.19 (declare-const tptp.breln1unionIL Bool) % 151.91/152.19 (declare-const tptp.breln1unionprop Bool) % 151.91/152.19 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 151.91/152.19 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 151.91/152.19 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 151.91/152.19 (declare-const tptp.subbreln1 Bool) % 151.91/152.19 (declare-const tptp.setextsub Bool) % 151.91/152.19 (declare-const tptp.breln1 (-> $$unsorted $$unsorted Bool)) % 151.91/152.19 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 151.91/152.19 (define @t1 () (@var "B" $$unsorted)) % 151.91/152.19 (define @t2 () (@var "A" $$unsorted)) % 151.91/152.19 (define @t3 () (= @t2 @t1)) % 151.91/152.19 (define @t4 () (_ (_ tptp.subset @t1) @t2)) % 151.91/152.19 (define @t5 () (=> @t4 @t3)) % 151.91/152.19 (define @t6 () (_ (_ tptp.subset @t2) @t1)) % 151.91/152.19 (define @t7 () (@list @t2 @t1)) % 151.91/152.19 (define @t8 () (forall @t7 (=> @t6 @t5))) % 151.91/152.19 (define @t9 () (= tptp.setextsub @t8)) % 151.91/152.19 (define @t10 () (@var "S" $$unsorted)) % 151.91/152.19 (define @t11 () (@var "R" $$unsorted)) % 151.91/152.19 (define @t12 () (_ (_ tptp.subset @t11) @t10)) % 151.91/152.19 (define @t13 () (@var "Xy" $$unsorted)) % 151.91/152.19 (define @t14 () (@var "Xx" $$unsorted)) % 151.91/152.19 (define @t15 () (_ (_ tptp.kpair @t14) @t13)) % 151.91/152.19 (define @t16 () (_ tptp.in @t15)) % 151.91/152.19 (define @t17 () (_ @t16 @t10)) % 151.91/152.19 (define @t18 () (_ @t16 @t11)) % 151.91/152.19 (define @t19 () (=> @t18 @t17)) % 151.91/152.19 (define @t20 () (_ (_ tptp.in @t13) @t2)) % 151.91/152.19 (define @t21 () (@list @t13)) % 151.91/152.19 (define @t22 () (forall @t21 (=> @t20 @t19))) % 151.91/152.19 (define @t23 () (_ (_ tptp.in @t14) @t2)) % 151.91/152.19 (define @t24 () (=> @t23 @t22)) % 151.91/152.19 (define @t25 () (@list @t14)) % 151.91/152.19 (define @t26 () (forall @t25 @t24)) % 151.91/152.19 (define @t27 () (=> @t26 @t12)) % 151.91/152.19 (define @t28 () (_ tptp.breln1 @t2)) % 151.91/152.19 (define @t29 () (_ @t28 @t10)) % 151.91/152.19 (define @t30 () (=> @t29 @t27)) % 151.91/152.19 (define @t31 () (@list @t10)) % 151.91/152.19 (define @t32 () (forall @t31 @t30)) % 151.91/152.19 (define @t33 () (_ @t28 @t11)) % 151.91/152.19 (define @t34 () (=> @t33 @t32)) % 151.91/152.19 (define @t35 () (@list @t2 @t11)) % 151.91/152.19 (define @t36 () (forall @t35 @t34)) % 151.91/152.19 (define @t37 () (= tptp.subbreln1 @t36)) % 151.91/152.19 (define @t38 () (_ (_ tptp.binunion @t11) @t10)) % 151.91/152.19 (define @t39 () (_ @t28 @t38)) % 151.91/152.19 (define @t40 () (forall @t31 (=> @t29 @t39))) % 151.91/152.19 (define @t41 () (=> @t33 @t40)) % 151.91/152.19 (define @t42 () (forall @t35 @t41)) % 151.91/152.19 (define @t43 () (= tptp.breln1unionprop @t42)) % 151.91/152.19 (define @t44 () (_ @t16 @t38)) % 151.91/152.19 (define @t45 () (=> @t18 @t44)) % 151.91/152.19 (define @t46 () (forall @t21 (=> @t20 @t45))) % 151.91/152.19 (define @t47 () (=> @t23 @t46)) % 151.91/152.19 (define @t48 () (forall @t25 @t47)) % 151.91/152.19 (define @t49 () (=> @t29 @t48)) % 151.91/152.19 (define @t50 () (forall @t31 @t49)) % 151.91/152.19 (define @t51 () (=> @t33 @t50)) % 151.91/152.19 (define @t52 () (forall @t35 @t51)) % 151.91/152.19 (define @t53 () (= tptp.breln1unionIL @t52)) % 151.91/152.19 (define @t54 () (=> @t17 @t44)) % 151.91/152.19 (define @t55 () (forall @t21 (=> @t20 @t54))) % 151.91/152.19 (define @t56 () (=> @t23 @t55)) % 151.91/152.19 (define @t57 () (forall @t25 @t56)) % 151.91/152.19 (define @t58 () (=> @t29 @t57)) % 151.91/152.19 (define @t59 () (forall @t31 @t58)) % 151.91/152.19 (define @t60 () (=> @t33 @t59)) % 151.91/152.19 (define @t61 () (forall @t35 @t60)) % 151.91/152.19 (define @t62 () (= tptp.breln1unionIR @t61)) % 151.91/152.19 (define @t63 () (or @t18 @t17)) % 151.91/152.19 (define @t64 () (=> @t44 @t63)) % 151.91/152.19 (define @t65 () (forall @t21 (=> @t20 @t64))) % 151.91/152.19 (define @t66 () (=> @t23 @t65)) % 151.91/152.19 (define @t67 () (forall @t25 @t66)) % 151.91/152.19 (define @t68 () (=> @t29 @t67)) % 151.91/152.19 (define @t69 () (forall @t31 @t68)) % 151.91/152.19 (define @t70 () (=> @t33 @t69)) % 151.91/152.19 (define @t71 () (forall @t35 @t70)) % 151.91/152.19 (define @t72 () (= tptp.breln1unionE @t71)) % 151.91/152.19 (define @t73 () (_ (_ tptp.binunion @t10) @t11)) % 151.91/152.19 (define @t74 () (= @t38 @t73)) % 151.91/152.19 (define @t75 () (forall @t31 (=> @t29 @t74))) % 151.91/152.19 (define @t76 () (=> @t33 @t75)) % 151.91/152.19 (define @t77 () (forall @t35 @t76)) % 151.91/152.19 (define @t78 () (=> tptp.breln1unionE @t77)) % 151.91/152.19 (define @t79 () (=> tptp.breln1unionIR @t78)) % 151.91/152.19 (define @t80 () (=> tptp.breln1unionIL @t79)) % 151.91/152.19 (define @t81 () (=> tptp.breln1unionprop @t80)) % 151.91/152.19 (define @t82 () (=> tptp.subbreln1 @t81)) % 151.91/152.19 (define @t83 () (=> tptp.setextsub @t82)) % 151.91/152.19 (define @t84 () (not @t83)) % 151.91/152.19 (define @t85 () (@var "BOUND_VARIABLE_7900" $$unsorted)) % 151.91/152.19 (define @t86 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)))) % 151.91/152.19 (define @t87 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted))))) % 151.91/152.19 (define @t88 () (_ @t87 @t86 @t11)) % 151.91/152.19 (define @t89 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 151.91/152.19 (define @t90 () (_ @t89 @t88 @t85)) % 151.91/152.19 (define @t91 () (_ @t89 (_ @t87 @t86 @t85) @t11)) % 151.91/152.19 (define @t92 () (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 151.91/152.19 (define @t93 () (@const 4 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 151.91/152.19 (define @t94 () (_ @t93 @t92 @t2)) % 151.91/152.19 (define @t95 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 151.91/152.19 (define @t96 () (not (_ @t95 @t94 @t85))) % 151.91/152.19 (define @t97 () (not (_ @t95 @t94 @t11))) % 151.91/152.19 (define @t98 () (or @t97 @t96 (= @t90 @t91))) % 151.91/152.19 (define @t99 () (@list @t2 @t11 @t85)) % 151.91/152.19 (define @t100 () (forall @t99 @t98)) % 151.91/152.19 (define @t101 () (@var "BOUND_VARIABLE_7862" $$unsorted)) % 151.91/152.19 (define @t102 () (@var "BOUND_VARIABLE_7866" $$unsorted)) % 151.91/152.19 (define @t103 () (@var "BOUND_VARIABLE_7864" $$unsorted)) % 151.91/152.19 (define @t104 () (@const 6 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)))) % 151.91/152.19 (define @t105 () (@const 7 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 151.91/152.19 (define @t106 () (_ @t93 @t105 (_ @t89 (_ @t87 @t104 @t103) @t102))) % 151.91/152.19 (define @t107 () (@list @t2 @t11 @t101 @t103 @t102)) % 151.91/152.19 (define @t108 () (forall @t107 (or @t97 (not (_ @t95 @t94 @t101)) (not (_ @t95 (_ @t93 @t105 @t103) @t2)) (not (_ @t95 (_ @t93 @t105 @t102) @t2)) (not (_ @t95 @t106 (_ @t89 @t88 @t101))) (_ @t95 @t106 @t11) (_ @t95 @t106 @t101)))) % 151.91/152.19 (define @t109 () (=> @t108 @t100)) % 151.91/152.19 (define @t110 () (@var "BOUND_VARIABLE_7778" $$unsorted)) % 151.91/152.19 (define @t111 () (@var "BOUND_VARIABLE_7782" $$unsorted)) % 151.91/152.19 (define @t112 () (@var "BOUND_VARIABLE_7780" $$unsorted)) % 151.91/152.19 (define @t113 () (_ @t93 @t105 (_ @t89 (_ @t87 @t104 @t112) @t111))) % 151.91/152.19 (define @t114 () (@list @t2 @t11 @t110 @t112 @t111)) % 151.91/152.19 (define @t115 () (forall @t114 (or @t97 (not (_ @t95 @t94 @t110)) (not (_ @t95 (_ @t93 @t105 @t112) @t2)) (not (_ @t95 (_ @t93 @t105 @t111) @t2)) (not (_ @t95 @t113 @t110)) (_ @t95 @t113 (_ @t89 @t88 @t110))))) % 151.91/152.19 (define @t116 () (=> @t115 @t109)) % 151.91/152.19 (define @t117 () (@var "BOUND_VARIABLE_7696" $$unsorted)) % 151.91/152.19 (define @t118 () (@var "BOUND_VARIABLE_7700" $$unsorted)) % 151.91/152.19 (define @t119 () (@var "BOUND_VARIABLE_7698" $$unsorted)) % 151.91/152.19 (define @t120 () (_ @t93 @t105 (_ @t89 (_ @t87 @t104 @t119) @t118))) % 151.91/152.19 (define @t121 () (@list @t2 @t11 @t117 @t119 @t118)) % 151.91/152.19 (define @t122 () (forall @t121 (or @t97 (not (_ @t95 @t94 @t117)) (not (_ @t95 (_ @t93 @t105 @t119) @t2)) (not (_ @t95 (_ @t93 @t105 @t118) @t2)) (not (_ @t95 @t120 @t11)) (_ @t95 @t120 (_ @t89 @t88 @t117))))) % 151.91/152.19 (define @t123 () (=> @t122 @t116)) % 151.91/152.19 (define @t124 () (@var "BOUND_VARIABLE_7625" $$unsorted)) % 151.91/152.19 (define @t125 () (@list @t2 @t11 @t124)) % 151.91/152.19 (define @t126 () (forall @t125 (or @t97 (not (_ @t95 @t94 @t124)) (_ @t95 @t94 (_ @t89 @t88 @t124))))) % 151.91/152.19 (define @t127 () (=> @t126 @t123)) % 151.91/152.19 (define @t128 () (@var "BOUND_VARIABLE_7595" $$unsorted)) % 151.91/152.19 (define @t129 () (@const 8 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 151.91/152.19 (define @t130 () (@var "BOUND_VARIABLE_7559" $$unsorted)) % 151.91/152.19 (define @t131 () (_ @t93 @t105 (_ @t89 (_ @t87 @t104 @t14) @t130))) % 151.91/152.19 (define @t132 () (_ @t93 @t105 @t130)) % 151.91/152.19 (define @t133 () (_ @t93 @t105 @t14)) % 151.91/152.19 (define @t134 () (@list @t14 @t130)) % 151.91/152.19 (define @t135 () (@list @t2 @t11 @t128)) % 151.91/152.19 (define @t136 () (forall @t135 (or @t97 (not (_ @t95 @t94 @t128)) (not (forall @t134 (or (not (_ @t95 @t133 @t2)) (not (_ @t95 @t132 @t2)) (not (_ @t95 @t131 @t11)) (_ @t95 @t131 @t128)))) (_ @t95 (_ @t93 @t129 @t11) @t128)))) % 151.91/152.19 (define @t137 () (=> @t136 @t127)) % 151.91/152.19 (define @t138 () (forall @t7 (or (not (_ @t95 (_ @t93 @t129 @t2) @t1)) (not (_ @t95 (_ @t93 @t129 @t1) @t2)) @t3))) % 151.91/152.19 (define @t139 () (=> @t138 @t137)) % 151.91/152.19 (define @t140 () (not @t139)) % 151.91/152.19 (define @t141 () (= (tptp.binunion @t11 @t85) (tptp.binunion @t85 @t11))) % 151.91/152.19 (define @t142 () (not (tptp.breln1 @t2 @t85))) % 151.91/152.19 (define @t143 () (tptp.breln1 @t2 @t11)) % 151.91/152.19 (define @t144 () (not @t143)) % 151.91/152.19 (define @t145 () (or @t144 @t142 @t141)) % 151.91/152.19 (define @t146 () (forall @t99 @t145)) % 151.91/152.19 (define @t147 () (tptp.kpair @t103 @t102)) % 151.91/152.19 (define @t148 () (tptp.in @t147 @t101)) % 151.91/152.19 (define @t149 () (tptp.in @t147 @t11)) % 151.91/152.19 (define @t150 () (not (tptp.in @t147 (tptp.binunion @t11 @t101)))) % 151.91/152.19 (define @t151 () (not (tptp.in @t102 @t2))) % 151.91/152.19 (define @t152 () (not (tptp.in @t103 @t2))) % 151.91/152.19 (define @t153 () (not (tptp.breln1 @t2 @t101))) % 151.91/152.19 (define @t154 () (or @t144 @t153 @t152 @t151 @t150 @t149 @t148)) % 151.91/152.19 (define @t155 () (tptp.kpair @t112 @t111)) % 151.91/152.19 (define @t156 () (tptp.in @t155 (tptp.binunion @t11 @t110))) % 151.91/152.19 (define @t157 () (not (tptp.in @t155 @t110))) % 151.91/152.19 (define @t158 () (not (tptp.in @t111 @t2))) % 151.91/152.19 (define @t159 () (not (tptp.in @t112 @t2))) % 151.91/152.19 (define @t160 () (not (tptp.breln1 @t2 @t110))) % 151.91/152.19 (define @t161 () (or @t144 @t160 @t159 @t158 @t157 @t156)) % 151.91/152.19 (define @t162 () (tptp.kpair @t119 @t118)) % 151.91/152.19 (define @t163 () (tptp.in @t162 (tptp.binunion @t11 @t117))) % 151.91/152.19 (define @t164 () (not (tptp.in @t162 @t11))) % 151.91/152.19 (define @t165 () (not (tptp.in @t118 @t2))) % 151.91/152.19 (define @t166 () (not (tptp.in @t119 @t2))) % 151.91/152.19 (define @t167 () (not (tptp.breln1 @t2 @t117))) % 151.91/152.19 (define @t168 () (or @t144 @t167 @t166 @t165 @t164 @t163)) % 151.91/152.19 (define @t169 () (tptp.breln1 @t2 (tptp.binunion @t11 @t124))) % 151.91/152.19 (define @t170 () (not (tptp.breln1 @t2 @t124))) % 151.91/152.19 (define @t171 () (or @t144 @t170 @t169)) % 151.91/152.19 (define @t172 () (tptp.subset @t11 @t128)) % 151.91/152.19 (define @t173 () (tptp.kpair @t14 @t130)) % 151.91/152.19 (define @t174 () (not (tptp.in @t173 @t11))) % 151.91/152.19 (define @t175 () (not (tptp.in @t130 @t2))) % 151.91/152.19 (define @t176 () (tptp.in @t14 @t2)) % 151.91/152.19 (define @t177 () (not @t176)) % 151.91/152.19 (define @t178 () (not (forall @t134 (or @t177 @t175 @t174 (tptp.in @t173 @t128))))) % 151.91/152.19 (define @t179 () (not (tptp.breln1 @t2 @t128))) % 151.91/152.19 (define @t180 () (or @t144 @t179 @t178 @t172)) % 151.91/152.19 (define @t181 () (tptp.subset @t1 @t2)) % 151.91/152.19 (define @t182 () (tptp.subset @t2 @t1)) % 151.91/152.19 (define @t183 () (or @t153 @t152 @t151 @t150 @t149 @t148)) % 151.91/152.19 (define @t184 () (or @t144 @t183)) % 151.91/152.19 (define @t185 () (forall @t107 @t184)) % 151.91/152.19 (define @t186 () (@list @t101 @t103 @t102)) % 151.91/152.19 (define @t187 () (forall @t186 @t184)) % 151.91/152.19 (define @t188 () (forall @t186 @t183)) % 151.91/152.19 (define @t189 () (@var "BOUND_VARIABLE_7839" $$unsorted)) % 151.91/152.19 (define @t190 () (@var "BOUND_VARIABLE_7837" $$unsorted)) % 151.91/152.19 (define @t191 () (or @t144 @t188)) % 151.91/152.19 (define @t192 () (tptp.kpair @t190 @t189)) % 151.91/152.19 (define @t193 () (tptp.in @t192 @t10)) % 151.91/152.19 (define @t194 () (tptp.in @t192 @t11)) % 151.91/152.19 (define @t195 () (tptp.binunion @t11 @t10)) % 151.91/152.19 (define @t196 () (not (tptp.in @t192 @t195))) % 151.91/152.19 (define @t197 () (not (tptp.in @t189 @t2))) % 151.91/152.19 (define @t198 () (not (tptp.in @t190 @t2))) % 151.91/152.19 (define @t199 () (tptp.breln1 @t2 @t10)) % 151.91/152.19 (define @t200 () (not @t199)) % 151.91/152.19 (define @t201 () (or @t200 @t198 @t197 @t196 @t194 @t193)) % 151.91/152.19 (define @t202 () (@list @t10 @t190 @t189)) % 151.91/152.19 (define @t203 () (forall @t202 @t201)) % 151.91/152.19 (define @t204 () (not @t33)) % 151.91/152.19 (define @t205 () (or @t204 @t203)) % 151.91/152.19 (define @t206 () (or @t198 @t197 @t196 @t194 @t193)) % 151.91/152.19 (define @t207 () (or @t200 @t206)) % 151.91/152.19 (define @t208 () (forall @t202 @t207)) % 151.91/152.19 (define @t209 () (@list @t190 @t189)) % 151.91/152.19 (define @t210 () (forall @t209 @t207)) % 151.91/152.19 (define @t211 () (forall @t209 @t206)) % 151.91/152.19 (define @t212 () (@var "BOUND_VARIABLE_7816" $$unsorted)) % 151.91/152.19 (define @t213 () (or @t200 @t211)) % 151.91/152.19 (define @t214 () (tptp.kpair @t14 @t212)) % 151.91/152.19 (define @t215 () (tptp.in @t214 @t10)) % 151.91/152.19 (define @t216 () (tptp.in @t214 @t11)) % 151.91/152.19 (define @t217 () (not (tptp.in @t214 @t195))) % 151.91/152.19 (define @t218 () (not (tptp.in @t212 @t2))) % 151.91/152.19 (define @t219 () (or @t177 @t218 @t217 @t216 @t215)) % 151.91/152.19 (define @t220 () (@list @t14 @t212)) % 151.91/152.19 (define @t221 () (forall @t220 @t219)) % 151.91/152.19 (define @t222 () (not @t29)) % 151.91/152.19 (define @t223 () (or @t222 @t221)) % 151.91/152.19 (define @t224 () (or @t218 @t217 @t216 @t215)) % 151.91/152.19 (define @t225 () (or @t177 @t224)) % 151.91/152.19 (define @t226 () (forall @t220 @t225)) % 151.91/152.19 (define @t227 () (@list @t212)) % 151.91/152.19 (define @t228 () (forall @t227 @t225)) % 151.91/152.19 (define @t229 () (forall @t227 @t224)) % 151.91/152.19 (define @t230 () (@list @t13)) % 151.91/152.19 (define @t231 () (or @t177 @t229)) % 151.91/152.19 (define @t232 () (tptp.kpair @t14 @t13)) % 151.91/152.19 (define @t233 () (tptp.in @t232 @t10)) % 151.91/152.19 (define @t234 () (tptp.in @t232 @t11)) % 151.91/152.19 (define @t235 () (tptp.in @t232 @t195)) % 151.91/152.19 (define @t236 () (tptp.in @t13 @t2)) % 151.91/152.19 (define @t237 () (not @t236)) % 151.91/152.19 (define @t238 () (forall @t21 (or @t237 (not @t235) @t234 @t233))) % 151.91/152.19 (define @t239 () (not @t23)) % 151.91/152.19 (define @t240 () (or @t239 @t238)) % 151.91/152.19 (define @t241 () (_ tptp.in @t232)) % 151.91/152.19 (define @t242 () (not @t44)) % 151.91/152.19 (define @t243 () (not @t20)) % 151.91/152.19 (define @t244 () (or @t243 @t242 @t18 @t17)) % 151.91/152.19 (define @t245 () (or @t242 @t18 @t17)) % 151.91/152.19 (define @t246 () (=> tptp.breln1unionE @t146)) % 151.91/152.19 (define @t247 () (or @t160 @t159 @t158 @t157 @t156)) % 151.91/152.19 (define @t248 () (or @t144 @t247)) % 151.91/152.19 (define @t249 () (forall @t114 @t248)) % 151.91/152.19 (define @t250 () (@list @t110 @t112 @t111)) % 151.91/152.19 (define @t251 () (forall @t250 @t248)) % 151.91/152.19 (define @t252 () (forall @t250 @t247)) % 151.91/152.19 (define @t253 () (@var "BOUND_VARIABLE_7756" $$unsorted)) % 151.91/152.19 (define @t254 () (@var "BOUND_VARIABLE_7754" $$unsorted)) % 151.91/152.19 (define @t255 () (or @t144 @t252)) % 151.91/152.19 (define @t256 () (tptp.kpair @t254 @t253)) % 151.91/152.19 (define @t257 () (tptp.in @t256 @t195)) % 151.91/152.19 (define @t258 () (not (tptp.in @t256 @t10))) % 151.91/152.19 (define @t259 () (not (tptp.in @t253 @t2))) % 151.91/152.19 (define @t260 () (not (tptp.in @t254 @t2))) % 151.91/152.19 (define @t261 () (or @t200 @t260 @t259 @t258 @t257)) % 151.91/152.19 (define @t262 () (@list @t10 @t254 @t253)) % 151.91/152.19 (define @t263 () (forall @t262 @t261)) % 151.91/152.19 (define @t264 () (or @t204 @t263)) % 151.91/152.19 (define @t265 () (or @t260 @t259 @t258 @t257)) % 151.91/152.19 (define @t266 () (or @t200 @t265)) % 151.91/152.19 (define @t267 () (forall @t262 @t266)) % 151.91/152.19 (define @t268 () (@list @t254 @t253)) % 151.91/152.19 (define @t269 () (forall @t268 @t266)) % 151.91/152.19 (define @t270 () (forall @t268 @t265)) % 151.91/152.19 (define @t271 () (@var "BOUND_VARIABLE_7734" $$unsorted)) % 151.91/152.19 (define @t272 () (or @t200 @t270)) % 151.91/152.19 (define @t273 () (tptp.kpair @t14 @t271)) % 151.91/152.19 (define @t274 () (tptp.in @t273 @t195)) % 151.91/152.19 (define @t275 () (not (tptp.in @t273 @t10))) % 151.91/152.19 (define @t276 () (not (tptp.in @t271 @t2))) % 151.91/152.19 (define @t277 () (or @t177 @t276 @t275 @t274)) % 151.91/152.19 (define @t278 () (@list @t14 @t271)) % 151.91/152.19 (define @t279 () (forall @t278 @t277)) % 151.91/152.19 (define @t280 () (or @t222 @t279)) % 151.91/152.19 (define @t281 () (or @t276 @t275 @t274)) % 151.91/152.19 (define @t282 () (or @t177 @t281)) % 151.91/152.19 (define @t283 () (forall @t278 @t282)) % 151.91/152.19 (define @t284 () (@list @t271)) % 151.91/152.19 (define @t285 () (forall @t284 @t282)) % 151.91/152.19 (define @t286 () (forall @t284 @t281)) % 151.91/152.19 (define @t287 () (or @t177 @t286)) % 151.91/152.19 (define @t288 () (forall @t21 (or @t237 (not @t233) @t235))) % 151.91/152.19 (define @t289 () (or @t239 @t288)) % 151.91/152.19 (define @t290 () (not @t17)) % 151.91/152.19 (define @t291 () (or @t243 @t290 @t44)) % 151.91/152.19 (define @t292 () (=> tptp.breln1unionIR @t246)) % 151.91/152.19 (define @t293 () (or @t167 @t166 @t165 @t164 @t163)) % 151.91/152.19 (define @t294 () (or @t144 @t293)) % 151.91/152.19 (define @t295 () (forall @t121 @t294)) % 151.91/152.19 (define @t296 () (@list @t117 @t119 @t118)) % 151.91/152.19 (define @t297 () (forall @t296 @t294)) % 151.91/152.19 (define @t298 () (forall @t296 @t293)) % 151.91/152.19 (define @t299 () (@var "BOUND_VARIABLE_7674" $$unsorted)) % 151.91/152.19 (define @t300 () (@var "BOUND_VARIABLE_7672" $$unsorted)) % 151.91/152.19 (define @t301 () (or @t144 @t298)) % 151.91/152.19 (define @t302 () (tptp.kpair @t300 @t299)) % 151.91/152.19 (define @t303 () (tptp.in @t302 @t195)) % 151.91/152.19 (define @t304 () (not (tptp.in @t302 @t11))) % 151.91/152.19 (define @t305 () (not (tptp.in @t299 @t2))) % 151.91/152.19 (define @t306 () (not (tptp.in @t300 @t2))) % 151.91/152.19 (define @t307 () (or @t200 @t306 @t305 @t304 @t303)) % 151.91/152.19 (define @t308 () (@list @t10 @t300 @t299)) % 151.91/152.19 (define @t309 () (forall @t308 @t307)) % 151.91/152.19 (define @t310 () (or @t204 @t309)) % 151.91/152.19 (define @t311 () (or @t306 @t305 @t304 @t303)) % 151.91/152.19 (define @t312 () (or @t200 @t311)) % 151.91/152.19 (define @t313 () (forall @t308 @t312)) % 151.91/152.19 (define @t314 () (@list @t300 @t299)) % 151.91/152.19 (define @t315 () (forall @t314 @t312)) % 151.91/152.19 (define @t316 () (forall @t314 @t311)) % 151.91/152.19 (define @t317 () (@var "BOUND_VARIABLE_7652" $$unsorted)) % 151.91/152.19 (define @t318 () (or @t200 @t316)) % 151.91/152.19 (define @t319 () (tptp.kpair @t14 @t317)) % 151.91/152.19 (define @t320 () (tptp.in @t319 @t195)) % 151.91/152.19 (define @t321 () (not (tptp.in @t319 @t11))) % 151.91/152.19 (define @t322 () (not (tptp.in @t317 @t2))) % 151.91/152.19 (define @t323 () (or @t177 @t322 @t321 @t320)) % 151.91/152.19 (define @t324 () (@list @t14 @t317)) % 151.91/152.19 (define @t325 () (forall @t324 @t323)) % 151.91/152.19 (define @t326 () (or @t222 @t325)) % 151.91/152.19 (define @t327 () (or @t322 @t321 @t320)) % 151.91/152.19 (define @t328 () (or @t177 @t327)) % 151.91/152.19 (define @t329 () (forall @t324 @t328)) % 151.91/152.19 (define @t330 () (@list @t317)) % 151.91/152.19 (define @t331 () (forall @t330 @t328)) % 151.91/152.19 (define @t332 () (forall @t330 @t327)) % 151.91/152.19 (define @t333 () (or @t177 @t332)) % 151.91/152.19 (define @t334 () (not @t234)) % 151.91/152.19 (define @t335 () (forall @t21 (or @t237 @t334 @t235))) % 151.91/152.19 (define @t336 () (or @t239 @t335)) % 151.91/152.19 (define @t337 () (not @t18)) % 151.91/152.19 (define @t338 () (or @t243 @t337 @t44)) % 151.91/152.19 (define @t339 () (=> tptp.breln1unionIL @t292)) % 151.91/152.19 (define @t340 () (or @t170 @t169)) % 151.91/152.19 (define @t341 () (or @t144 @t340)) % 151.91/152.19 (define @t342 () (forall @t125 @t341)) % 151.91/152.19 (define @t343 () (@list @t124)) % 151.91/152.19 (define @t344 () (forall @t343 @t341)) % 151.91/152.19 (define @t345 () (forall @t343 @t340)) % 151.91/152.19 (define @t346 () (@list @t10)) % 151.91/152.19 (define @t347 () (or @t144 @t345)) % 151.91/152.19 (define @t348 () (tptp.breln1 @t2 @t195)) % 151.91/152.19 (define @t349 () (forall @t31 (or @t200 @t348))) % 151.91/152.19 (define @t350 () (or @t204 @t349)) % 151.91/152.19 (define @t351 () (or @t222 @t39)) % 151.91/152.19 (define @t352 () (=> tptp.breln1unionprop @t339)) % 151.91/152.19 (define @t353 () (or @t179 @t178 @t172)) % 151.91/152.19 (define @t354 () (or @t144 @t353)) % 151.91/152.19 (define @t355 () (forall @t135 @t354)) % 151.91/152.19 (define @t356 () (@list @t128)) % 151.91/152.19 (define @t357 () (forall @t356 @t354)) % 151.91/152.19 (define @t358 () (forall @t356 @t353)) % 151.91/152.19 (define @t359 () (or @t144 @t358)) % 151.91/152.19 (define @t360 () (tptp.subset @t11 @t10)) % 151.91/152.19 (define @t361 () (tptp.in @t173 @t10)) % 151.91/152.19 (define @t362 () (or @t177 @t175 @t174 @t361)) % 151.91/152.19 (define @t363 () (forall @t134 @t362)) % 151.91/152.19 (define @t364 () (not @t363)) % 151.91/152.19 (define @t365 () (forall @t31 (or @t200 @t364 @t360))) % 151.91/152.19 (define @t366 () (or @t204 @t365)) % 151.91/152.19 (define @t367 () (or @t222 @t364 @t12)) % 151.91/152.19 (define @t368 () (=> @t363 @t12)) % 151.91/152.19 (define @t369 () (or @t175 @t174 @t361)) % 151.91/152.19 (define @t370 () (or @t177 @t369)) % 151.91/152.19 (define @t371 () (forall @t134 @t370)) % 151.91/152.19 (define @t372 () (@list @t130)) % 151.91/152.19 (define @t373 () (forall @t372 @t370)) % 151.91/152.19 (define @t374 () (forall @t372 @t369)) % 151.91/152.19 (define @t375 () (or @t177 @t374)) % 151.91/152.19 (define @t376 () (forall @t21 (or @t237 @t334 @t233))) % 151.91/152.19 (define @t377 () (or @t239 @t376)) % 151.91/152.19 (define @t378 () (or @t243 @t337 @t17)) % 151.91/152.19 (define @t379 () (=> tptp.subbreln1 @t352)) % 151.91/152.19 (define @t380 () (not @t4)) % 151.91/152.19 (define @t381 () (not @t6)) % 151.91/152.19 (define @t382 () (or @t381 @t380 @t3)) % 151.91/152.19 (define @t383 () (=> tptp.setextsub @t379)) % 151.91/152.19 (define @t384 () (or @t142 @t141)) % 151.91/152.19 (define @t385 () (or @t144 @t384)) % 151.91/152.19 (define @t386 () (forall @t99 @t385)) % 151.91/152.19 (define @t387 () (@list @t85)) % 151.91/152.19 (define @t388 () (forall @t387 @t385)) % 151.91/152.19 (define @t389 () (forall @t387 @t384)) % 151.91/152.19 (define @t390 () (or @t144 @t389)) % 151.91/152.19 (define @t391 () (tptp.binunion @t10 @t11)) % 151.91/152.19 (define @t392 () (forall @t31 (or @t200 (= @t195 @t391)))) % 151.91/152.19 (define @t393 () (or @t204 @t392)) % 151.91/152.19 (define @t394 () (or @t222 @t74)) % 151.91/152.19 (define @t395 () (forall @t99 (or @t97 @t96 (= @t91 @t90)))) % 151.91/152.19 (define @t396 () (@quantifiers_skolemize @t395 0)) % 151.91/152.19 (define @t397 () (@quantifiers_skolemize @t395 1)) % 151.91/152.19 (define @t398 () (@quantifiers_skolemize @t395 2)) % 151.91/152.19 (define @t399 () (_ @t89 (_ @t87 @t86 @t398) @t397)) % 151.91/152.19 (define @t400 () (_ @t95 @t131 @t399)) % 151.91/152.19 (define @t401 () (not (_ @t95 @t132 @t396))) % 151.91/152.19 (define @t402 () (not (_ @t95 @t133 @t396))) % 151.91/152.19 (define @t403 () (forall @t134 (or @t402 @t401 (not (_ @t95 @t131 @t397)) @t400))) % 151.91/152.19 (define @t404 () (@quantifiers_skolemize @t403 0)) % 151.91/152.19 (define @t405 () (_ @t95 (_ @t93 @t105 @t404) @t396)) % 151.91/152.19 (define @t406 () (@quantifiers_skolemize @t403 1)) % 151.91/152.19 (define @t407 () (_ @t93 @t105 (_ @t89 (_ @t87 @t104 @t404) @t406))) % 151.91/152.19 (define @t408 () (_ @t95 @t407 @t399)) % 151.91/152.19 (define @t409 () (_ @t95 @t407 @t397)) % 151.91/152.19 (define @t410 () (not @t409)) % 151.91/152.19 (define @t411 () (_ @t95 (_ @t93 @t105 @t406) @t396)) % 151.91/152.19 (define @t412 () (not @t411)) % 151.91/152.19 (define @t413 () (not @t405)) % 151.91/152.19 (define @t414 () (or @t413 @t412 @t410 @t408)) % 151.91/152.19 (define @t415 () (_ @t93 @t92 @t396)) % 151.91/152.19 (define @t416 () (_ @t95 @t415 @t397)) % 151.91/152.19 (define @t417 () (_ @t89 (_ @t87 @t86 @t397) @t398)) % 151.91/152.19 (define @t418 () (= @t399 @t417)) % 151.91/152.19 (define @t419 () (_ @t95 @t415 @t398)) % 151.91/152.19 (define @t420 () (not @t419)) % 151.91/152.19 (define @t421 () (not @t416)) % 151.91/152.19 (define @t422 () (or @t421 @t420 @t418)) % 151.91/152.19 (define @t423 () (@list true)) % 151.91/152.19 (define @t424 () (@list @t422)) % 151.91/152.19 (define @t425 () (or @t420 @t421 @t413 @t412 @t410 @t408)) % 151.91/152.19 (define @t426 () (@list false false false true false false false)) % 151.91/152.19 (define @t427 () (not @t414)) % 151.91/152.19 (define @t428 () (not @t403)) % 151.91/152.19 (define @t429 () (@list false)) % 151.91/152.19 (define @t430 () (_ @t95 @t131 @t417)) % 151.91/152.19 (define @t431 () (forall @t134 (or @t402 @t401 (not @t430) @t400))) % 151.91/152.19 (define @t432 () (@quantifiers_skolemize @t431 1)) % 151.91/152.19 (define @t433 () (@quantifiers_skolemize @t431 0)) % 151.91/152.19 (define @t434 () (_ @t93 @t105 (_ @t89 (_ @t87 @t104 @t433) @t432))) % 151.91/152.19 (define @t435 () (_ @t95 @t434 @t399)) % 151.91/152.19 (define @t436 () (_ @t95 @t434 @t397)) % 151.91/152.19 (define @t437 () (not @t436)) % 151.91/152.19 (define @t438 () (_ @t95 (_ @t93 @t105 @t432) @t396)) % 151.91/152.19 (define @t439 () (not @t438)) % 151.91/152.19 (define @t440 () (_ @t95 (_ @t93 @t105 @t433) @t396)) % 151.91/152.19 (define @t441 () (not @t440)) % 151.91/152.19 (define @t442 () (or @t441 @t439 @t437 @t435)) % 151.91/152.19 (define @t443 () (forall @t134 (or @t402 @t401 (not @t400) @t430))) % 151.91/152.19 (define @t444 () (@quantifiers_skolemize @t443 0)) % 151.91/152.19 (define @t445 () (_ @t95 (_ @t93 @t105 @t444) @t396)) % 151.91/152.19 (define @t446 () (@quantifiers_skolemize @t443 1)) % 151.91/152.19 (define @t447 () (_ @t93 @t105 (_ @t89 (_ @t87 @t104 @t444) @t446))) % 151.91/152.19 (define @t448 () (_ @t95 @t447 @t417)) % 151.91/152.19 (define @t449 () (_ @t95 @t447 @t399)) % 151.91/152.19 (define @t450 () (not @t449)) % 151.91/152.19 (define @t451 () (_ @t95 (_ @t93 @t105 @t446) @t396)) % 151.91/152.19 (define @t452 () (not @t451)) % 151.91/152.19 (define @t453 () (not @t445)) % 151.91/152.19 (define @t454 () (or @t453 @t452 @t450 @t448)) % 151.91/152.19 (define @t455 () (_ @t95 @t447 @t397)) % 151.91/152.19 (define @t456 () (not @t455)) % 151.91/152.19 (define @t457 () (or @t421 @t420 @t453 @t452 @t456 @t448)) % 151.91/152.19 (define @t458 () (forall @t134 (or @t402 @t401 (not (_ @t95 @t131 @t398)) @t430))) % 151.91/152.19 (define @t459 () (@quantifiers_skolemize @t458 0)) % 151.91/152.19 (define @t460 () (_ @t95 (_ @t93 @t105 @t459) @t396)) % 151.91/152.19 (define @t461 () (@quantifiers_skolemize @t458 1)) % 151.91/152.19 (define @t462 () (_ @t93 @t105 (_ @t89 (_ @t87 @t104 @t459) @t461))) % 151.91/152.19 (define @t463 () (_ @t95 @t462 @t417)) % 151.91/152.19 (define @t464 () (_ @t95 @t462 @t398)) % 151.91/152.19 (define @t465 () (not @t464)) % 151.91/152.19 (define @t466 () (_ @t95 (_ @t93 @t105 @t461) @t396)) % 151.91/152.19 (define @t467 () (not @t466)) % 151.91/152.19 (define @t468 () (not @t460)) % 151.91/152.19 (define @t469 () (or @t468 @t467 @t465 @t463)) % 151.91/152.19 (define @t470 () (or @t421 @t420 @t468 @t467 @t465 @t463)) % 151.91/152.19 (define @t471 () (not @t469)) % 151.91/152.19 (define @t472 () (not @t458)) % 151.91/152.19 (define @t473 () (_ @t95 @t447 @t398)) % 151.91/152.19 (define @t474 () (not @t473)) % 151.91/152.19 (define @t475 () (or @t453 @t452 @t474 @t448)) % 151.91/152.19 (define @t476 () (or @t420 @t421 @t453 @t452 @t450 @t473 @t455)) % 151.91/152.19 (define @t477 () (not @t454)) % 151.91/152.19 (define @t478 () (not @t443)) % 151.91/152.19 (define @t479 () (_ @t95 @t415 @t399)) % 151.91/152.19 (define @t480 () (or @t420 @t421 @t479)) % 151.91/152.19 (define @t481 () (@list false false false)) % 151.91/152.19 (define @t482 () (_ @t95 @t415 @t417)) % 151.91/152.19 (define @t483 () (or @t421 @t420 @t482)) % 151.91/152.19 (define @t484 () (_ @t95 (_ @t93 @t129 @t399) @t417)) % 151.91/152.19 (define @t485 () (not @t482)) % 151.91/152.19 (define @t486 () (not @t479)) % 151.91/152.19 (define @t487 () (or @t486 @t485 @t478 @t484)) % 151.91/152.19 (define @t488 () (_ @t95 (_ @t93 @t129 @t417) @t399)) % 151.91/152.19 (define @t489 () (not @t488)) % 151.91/152.19 (define @t490 () (not @t484)) % 151.91/152.19 (define @t491 () (or @t490 @t489 @t418)) % 151.91/152.19 (define @t492 () (not @t431)) % 151.91/152.19 (define @t493 () (or @t485 @t486 @t492 @t488)) % 151.91/152.19 (define @t494 () (@list false false true false)) % 151.91/152.19 (define @t495 () (_ @t95 @t434 @t417)) % 151.91/152.19 (define @t496 () (not @t495)) % 151.91/152.19 (define @t497 () (or @t441 @t439 @t496 @t435)) % 151.91/152.19 (define @t498 () (not @t497)) % 151.91/152.19 (define @t499 () (@list @t497)) % 151.91/152.19 (define @t500 () (_ @t95 @t434 @t398)) % 151.91/152.19 (define @t501 () (not @t500)) % 151.91/152.19 (define @t502 () (or @t420 @t421 @t441 @t439 @t501 @t435)) % 151.91/152.19 (define @t503 () (or @t421 @t420 @t441 @t439 @t496 @t436 @t500)) % 151.91/152.19 (define @t504 () (not @t503)) % 151.91/152.19 (assume @p1 @t9) % 151.91/152.19 (assume @p2 @t37) % 151.91/152.19 (assume @p3 @t43) % 151.91/152.19 (assume @p4 @t53) % 151.91/152.19 (assume @p5 @t62) % 151.91/152.19 (assume @p6 @t72) % 151.91/152.19 (assume @p7 @t84) % 151.91/152.19 (assume @p8 true) % 151.91/152.19 (step @p9 :rule eq-symm :args (@t90 @t91)) % 151.91/152.19 (step @p10 :rule refl :args (@t96)) % 151.91/152.19 (step @p11 :rule refl :args (@t97)) % 151.91/152.19 (step @p12 :rule nary_cong :premises (@p11 @p10 @p9) :args (@t98)) % 151.91/152.19 (step @p13 :rule cong :premises (@p12) :args (@t100)) % 151.91/152.19 (step @p14 :rule refl :args (@t108)) % 151.91/152.19 (step @p15 :rule cong :premises (@p14 @p13) :args (@t109)) % 151.91/152.19 (step @p16 :rule refl :args (@t115)) % 151.91/152.19 (step @p17 :rule cong :premises (@p16 @p15) :args (@t116)) % 151.91/152.19 (step @p18 :rule refl :args (@t122)) % 151.91/152.19 (step @p19 :rule cong :premises (@p18 @p17) :args (@t123)) % 151.91/152.19 (step @p20 :rule refl :args (@t126)) % 151.91/152.19 (step @p21 :rule cong :premises (@p20 @p19) :args (@t127)) % 151.91/152.19 (step @p22 :rule refl :args (@t136)) % 151.91/152.19 (step @p23 :rule cong :premises (@p22 @p21) :args (@t137)) % 151.91/152.19 (step @p24 :rule refl :args (@t138)) % 151.91/152.19 (step @p25 :rule cong :premises (@p24 @p23) :args (@t139)) % 151.91/152.19 (step @p26 :rule cong :premises (@p25) :args (@t140)) % 151.91/152.19 ; WARNING: add trust step for TRUST % 151.91/152.19 ; trust TRUST PREPROCESS_HO_ELIM % 151.91/152.19 (step @p27 :rule trust :premises () :args ((= (not (=> (forall @t7 (or (not @t182) (not @t181) @t3)) (=> (forall @t135 @t180) (=> (forall @t125 @t171) (=> (forall @t121 @t168) (=> (forall @t114 @t161) (=> (forall @t107 @t154) @t146))))))) @t140))) % 151.91/152.19 (step @p28 :rule refl :args (@t146)) % 151.91/152.19 (step @p29 :rule aci_norm :args ((= @t184 @t154))) % 151.91/152.19 (step @p30 :rule cong :premises (@p29) :args (@t185)) % 151.91/152.19 (step @p31 :rule quant-merge-prenex :args ((= (forall @t35 @t187) @t185))) % 151.91/152.19 (step @p32 :rule alpha_equiv :args (@t188 (@list @t101 @t103 @t102) (@list @t10 @t190 @t189))) % 151.91/152.19 (step @p33 :rule refl :args (@t144)) % 151.91/152.19 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t191)) % 151.91/152.19 (step @p35 :rule quant-miniscope-or :args ((= @t187 @t191))) % 151.91/152.19 (step @p36 :rule trans :premises (@p35 @p34)) % 151.91/152.19 (step @p37 :rule symm :premises (@p36)) % 151.91/152.19 (step @p38 :rule cong :premises (@p37) :args ((forall @t35 (or @t144 @t203)))) % 151.91/152.19 (step @p39 :rule trans :premises (@p38 @p31)) % 151.91/152.19 (step @p40 :rule trans :premises (@p39 @p30)) % 151.91/152.19 (step @p41 :rule refl :args (@t203)) % 151.91/152.19 (step @p42 :rule refl :args (@t143)) % 151.91/152.19 (step @p43 :rule refl :args (@t33)) % 151.91/152.19 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t33 @t143))) % 151.91/152.19 (step @p45 :rule symm :premises (@p44)) % 151.91/152.19 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 151.91/152.19 (step @p47 :rule cong :premises (@p46) :args (@t204)) % 151.91/152.19 (step @p48 :rule nary_cong :premises (@p47 @p41) :args (@t205)) % 151.91/152.19 (step @p49 :rule cong :premises (@p48) :args ((forall @t35 @t205))) % 151.91/152.19 (step @p50 :rule trans :premises (@p49 @p40)) % 151.91/152.19 (step @p51 :rule bool-impl-elim :args (@t33 @t203)) % 151.91/152.19 (step @p52 :rule cong :premises (@p51) :args ((forall @t35 (=> @t33 @t203)))) % 151.91/152.19 (step @p53 :rule trans :premises (@p52 @p50)) % 151.91/152.19 (step @p54 :rule aci_norm :args ((= @t207 @t201))) % 151.91/152.19 (step @p55 :rule cong :premises (@p54) :args (@t208)) % 151.91/152.19 (step @p56 :rule quant-merge-prenex :args ((= (forall @t31 @t210) @t208))) % 151.91/152.19 (step @p57 :rule alpha_equiv :args (@t211 (@list @t190 @t189) (@list @t14 @t212))) % 151.91/152.19 (step @p58 :rule refl :args (@t200)) % 151.91/152.19 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t213)) % 151.91/152.19 (step @p60 :rule quant-miniscope-or :args ((= @t210 @t213))) % 151.91/152.19 (step @p61 :rule trans :premises (@p60 @p59)) % 151.91/152.19 (step @p62 :rule symm :premises (@p61)) % 151.91/152.19 (step @p63 :rule cong :premises (@p62) :args ((forall @t31 (or @t200 @t221)))) % 151.91/152.19 (step @p64 :rule trans :premises (@p63 @p56)) % 151.91/152.19 (step @p65 :rule trans :premises (@p64 @p55)) % 151.91/152.19 (step @p66 :rule refl :args (@t221)) % 151.91/152.19 (step @p67 :rule refl :args (@t199)) % 151.91/152.19 (step @p68 :rule refl :args (@t29)) % 151.91/152.19 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t29 @t199))) % 151.91/152.19 (step @p70 :rule symm :premises (@p69)) % 151.91/152.19 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 151.91/152.19 (step @p72 :rule cong :premises (@p71) :args (@t222)) % 151.91/152.19 (step @p73 :rule nary_cong :premises (@p72 @p66) :args (@t223)) % 151.91/152.19 (step @p74 :rule cong :premises (@p73) :args ((forall @t31 @t223))) % 151.91/152.19 (step @p75 :rule trans :premises (@p74 @p65)) % 151.91/152.19 (step @p76 :rule bool-impl-elim :args (@t29 @t221)) % 151.91/152.19 (step @p77 :rule cong :premises (@p76) :args ((forall @t31 (=> @t29 @t221)))) % 151.91/152.19 (step @p78 :rule trans :premises (@p77 @p75)) % 151.91/152.19 (step @p79 :rule aci_norm :args ((= @t225 @t219))) % 151.91/152.19 (step @p80 :rule cong :premises (@p79) :args (@t226)) % 151.91/152.19 (step @p81 :rule quant-merge-prenex :args ((= (forall @t25 @t228) @t226))) % 151.91/152.19 (step @p82 :rule alpha_equiv :args (@t229 (@list @t212) @t230)) % 151.91/152.19 (step @p83 :rule refl :args (@t177)) % 151.91/152.19 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t231)) % 151.91/152.19 (step @p85 :rule quant-miniscope-or :args ((= @t228 @t231))) % 151.91/152.19 (step @p86 :rule trans :premises (@p85 @p84)) % 151.91/152.19 (step @p87 :rule symm :premises (@p86)) % 151.91/152.19 (step @p88 :rule cong :premises (@p87) :args ((forall @t25 (or @t177 @t238)))) % 151.91/152.19 (step @p89 :rule trans :premises (@p88 @p81)) % 151.91/152.19 (step @p90 :rule trans :premises (@p89 @p80)) % 151.91/152.19 (step @p91 :rule refl :args (@t238)) % 151.91/152.19 (step @p92 :rule refl :args (@t176)) % 151.91/152.19 (step @p93 :rule refl :args (@t23)) % 151.91/152.19 (step @p94 :rule cong :premises (@p93 @p92) :args ((= @t23 @t176))) % 151.91/152.19 (step @p95 :rule symm :premises (@p94)) % 151.91/152.19 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 151.91/152.19 (step @p97 :rule cong :premises (@p96) :args (@t239)) % 151.91/152.19 (step @p98 :rule nary_cong :premises (@p97 @p91) :args (@t240)) % 151.91/152.19 (step @p99 :rule cong :premises (@p98) :args ((forall @t25 @t240))) % 151.91/152.19 (step @p100 :rule trans :premises (@p99 @p90)) % 151.91/152.19 (step @p101 :rule bool-impl-elim :args (@t23 @t238)) % 151.91/152.19 (step @p102 :rule cong :premises (@p101) :args ((forall @t25 (=> @t23 @t238)))) % 151.91/152.19 (step @p103 :rule trans :premises (@p102 @p100)) % 151.91/152.19 (step @p104 :rule refl :args ((tptp.in @t15 @t10))) % 151.91/152.19 (step @p105 :rule refl :args (@t10)) % 151.91/152.19 (step @p106 :rule refl :args (@t232)) % 151.91/152.19 (step @p107 :rule cong :premises (@p106 @p105) :args (@t233)) % 151.91/152.19 (step @p108 :rule trans :premises (@p107 @p104)) % 151.91/152.19 (step @p109 :rule refl :args (tptp.in)) % 151.91/152.19 (step @p110 :rule ho_cong :premises (@p109 @p106)) % 151.91/152.19 (step @p111 :rule ho_cong :premises (@p110 @p105)) % 151.91/152.19 (step @p112 :rule cong :premises (@p111 @p108) :args ((= (_ @t241 @t10) @t233))) % 151.91/152.19 (step @p113 :rule symm :premises (@p112)) % 151.91/152.19 (step @p114 :rule refl :args (@t17)) % 151.91/152.19 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 151.91/152.19 (step @p116 :rule refl :args (@t15)) % 151.91/152.19 (step @p117 :rule cong :premises (@p116 @p106) :args ((= @t15 @t232))) % 151.91/152.19 (step @p118 :rule symm :premises (@p117)) % 151.91/152.19 (step @p119 :rule eq_resolve :premises (@p116 @p118)) % 151.91/152.19 (step @p120 :rule ho_cong :premises (@p109 @p119)) % 151.91/152.19 (step @p121 :rule ho_cong :premises (@p120 @p105)) % 151.91/152.19 (step @p122 :rule trans :premises (@p121 @p115)) % 151.91/152.19 (step @p123 :rule refl :args ((tptp.in @t15 @t11))) % 151.91/152.19 (step @p124 :rule refl :args (@t11)) % 151.91/152.19 (step @p125 :rule cong :premises (@p106 @p124) :args (@t234)) % 151.91/152.19 (step @p126 :rule trans :premises (@p125 @p123)) % 151.91/152.19 (step @p127 :rule ho_cong :premises (@p110 @p124)) % 151.91/152.19 (step @p128 :rule cong :premises (@p127 @p126) :args ((= (_ @t241 @t11) @t234))) % 151.91/152.19 (step @p129 :rule symm :premises (@p128)) % 151.91/152.19 (step @p130 :rule refl :args (@t18)) % 151.91/152.19 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 151.91/152.19 (step @p132 :rule ho_cong :premises (@p120 @p124)) % 151.91/152.19 (step @p133 :rule trans :premises (@p132 @p131)) % 151.91/152.19 (step @p134 :rule refl :args ((tptp.in @t15 @t38))) % 151.91/152.19 (step @p135 :rule refl :args (@t195)) % 151.91/152.19 (step @p136 :rule cong :premises (@p106 @p135) :args (@t235)) % 151.91/152.19 (step @p137 :rule trans :premises (@p136 @p134)) % 151.91/152.19 (step @p138 :rule ho_cong :premises (@p110 @p135)) % 151.91/152.19 (step @p139 :rule cong :premises (@p138 @p137) :args ((= (_ @t241 @t195) @t235))) % 151.91/152.19 (step @p140 :rule symm :premises (@p139)) % 151.91/152.19 (step @p141 :rule refl :args (@t44)) % 151.91/152.19 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 151.91/152.19 (step @p143 :rule refl :args (@t38)) % 151.91/152.19 (step @p144 :rule cong :premises (@p143 @p135) :args ((= @t38 @t195))) % 151.91/152.19 (step @p145 :rule symm :premises (@p144)) % 151.91/152.19 (step @p146 :rule eq_resolve :premises (@p143 @p145)) % 151.91/152.19 (step @p147 :rule ho_cong :premises (@p120 @p146)) % 151.91/152.19 (step @p148 :rule trans :premises (@p147 @p142)) % 151.91/152.19 (step @p149 :rule cong :premises (@p148) :args (@t242)) % 151.91/152.19 (step @p150 :rule refl :args (@t236)) % 151.91/152.19 (step @p151 :rule refl :args (@t20)) % 151.91/152.19 (step @p152 :rule cong :premises (@p151 @p150) :args ((= @t20 @t236))) % 151.91/152.19 (step @p153 :rule symm :premises (@p152)) % 151.91/152.19 (step @p154 :rule eq_resolve :premises (@p151 @p153)) % 151.91/152.19 (step @p155 :rule cong :premises (@p154) :args (@t243)) % 151.91/152.19 (step @p156 :rule nary_cong :premises (@p155 @p149 @p133 @p122) :args (@t244)) % 151.91/152.19 (step @p157 :rule cong :premises (@p156) :args ((forall @t21 @t244))) % 151.91/152.19 (step @p158 :rule aci_norm :args ((= (or @t243 @t245) @t244))) % 151.91/152.19 (step @p159 :rule aci_norm :args ((= (or @t242 @t63) @t245))) % 151.91/152.19 (step @p160 :rule bool-impl-elim :args (@t44 @t63)) % 151.91/152.19 (step @p161 :rule trans :premises (@p160 @p159)) % 151.91/152.19 (step @p162 :rule refl :args (@t243)) % 151.91/152.19 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t243 @t64))) % 151.91/152.19 (step @p164 :rule trans :premises (@p163 @p158)) % 151.91/152.19 (step @p165 :rule bool-impl-elim :args (@t20 @t64)) % 151.91/152.19 (step @p166 :rule trans :premises (@p165 @p164)) % 151.91/152.19 (step @p167 :rule cong :premises (@p166) :args (@t65)) % 151.91/152.19 (step @p168 :rule trans :premises (@p167 @p157)) % 151.91/152.19 (step @p169 :rule refl :args (@t23)) % 151.91/152.19 (step @p170 :rule cong :premises (@p169 @p168) :args (@t66)) % 151.91/152.19 (step @p171 :rule cong :premises (@p170) :args (@t67)) % 151.91/152.19 (step @p172 :rule trans :premises (@p171 @p103)) % 151.91/152.19 (step @p173 :rule refl :args (@t29)) % 151.91/152.19 (step @p174 :rule cong :premises (@p173 @p172) :args (@t68)) % 151.91/152.19 (step @p175 :rule cong :premises (@p174) :args (@t69)) % 151.91/152.19 (step @p176 :rule trans :premises (@p175 @p78)) % 151.91/152.19 (step @p177 :rule refl :args (@t33)) % 151.91/152.19 (step @p178 :rule cong :premises (@p177 @p176) :args (@t70)) % 151.91/152.19 (step @p179 :rule cong :premises (@p178) :args (@t71)) % 151.91/152.19 (step @p180 :rule trans :premises (@p179 @p53)) % 151.91/152.19 (step @p181 :rule refl :args (tptp.breln1unionE)) % 151.91/152.19 (step @p182 :rule cong :premises (@p181 @p180) :args (@t72)) % 151.91/152.19 (step @p183 :rule eq_resolve :premises (@p6 @p182)) % 151.91/152.19 (step @p184 :rule cong :premises (@p183 @p28) :args (@t246)) % 151.91/152.19 (step @p185 :rule aci_norm :args ((= @t248 @t161))) % 151.91/152.19 (step @p186 :rule cong :premises (@p185) :args (@t249)) % 151.91/152.19 (step @p187 :rule quant-merge-prenex :args ((= (forall @t35 @t251) @t249))) % 151.91/152.19 (step @p188 :rule alpha_equiv :args (@t252 (@list @t110 @t112 @t111) (@list @t10 @t254 @t253))) % 151.91/152.19 (step @p189 :rule nary_cong :premises (@p33 @p188) :args (@t255)) % 151.91/152.19 (step @p190 :rule quant-miniscope-or :args ((= @t251 @t255))) % 151.91/152.19 (step @p191 :rule trans :premises (@p190 @p189)) % 151.91/152.19 (step @p192 :rule symm :premises (@p191)) % 151.91/152.19 (step @p193 :rule cong :premises (@p192) :args ((forall @t35 (or @t144 @t263)))) % 151.91/152.19 (step @p194 :rule trans :premises (@p193 @p187)) % 151.91/152.19 (step @p195 :rule trans :premises (@p194 @p186)) % 151.91/152.19 (step @p196 :rule refl :args (@t263)) % 151.91/152.19 (step @p197 :rule nary_cong :premises (@p47 @p196) :args (@t264)) % 151.91/152.19 (step @p198 :rule cong :premises (@p197) :args ((forall @t35 @t264))) % 151.91/152.19 (step @p199 :rule trans :premises (@p198 @p195)) % 151.91/152.19 (step @p200 :rule bool-impl-elim :args (@t33 @t263)) % 151.91/152.19 (step @p201 :rule cong :premises (@p200) :args ((forall @t35 (=> @t33 @t263)))) % 151.91/152.19 (step @p202 :rule trans :premises (@p201 @p199)) % 151.91/152.19 (step @p203 :rule aci_norm :args ((= @t266 @t261))) % 151.91/152.19 (step @p204 :rule cong :premises (@p203) :args (@t267)) % 151.91/152.19 (step @p205 :rule quant-merge-prenex :args ((= (forall @t31 @t269) @t267))) % 151.91/152.19 (step @p206 :rule alpha_equiv :args (@t270 (@list @t254 @t253) (@list @t14 @t271))) % 151.91/152.19 (step @p207 :rule nary_cong :premises (@p58 @p206) :args (@t272)) % 151.91/152.19 (step @p208 :rule quant-miniscope-or :args ((= @t269 @t272))) % 151.91/152.19 (step @p209 :rule trans :premises (@p208 @p207)) % 151.91/152.19 (step @p210 :rule symm :premises (@p209)) % 151.91/152.19 (step @p211 :rule cong :premises (@p210) :args ((forall @t31 (or @t200 @t279)))) % 151.91/152.19 (step @p212 :rule trans :premises (@p211 @p205)) % 151.91/152.19 (step @p213 :rule trans :premises (@p212 @p204)) % 151.91/152.19 (step @p214 :rule refl :args (@t279)) % 151.91/152.19 (step @p215 :rule nary_cong :premises (@p72 @p214) :args (@t280)) % 151.91/152.19 (step @p216 :rule cong :premises (@p215) :args ((forall @t31 @t280))) % 151.91/152.19 (step @p217 :rule trans :premises (@p216 @p213)) % 151.91/152.19 (step @p218 :rule bool-impl-elim :args (@t29 @t279)) % 151.91/152.19 (step @p219 :rule cong :premises (@p218) :args ((forall @t31 (=> @t29 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% 151.91/152.19 (step @p669 :rule not_implies_elim1 :premises (@p532)) % 151.91/152.19 (step @p670 :rule instantiate :premises (@p669) :args ((@list @t396 @t398 @t397))) % 151.91/152.19 (step @p671 :rule cnf_or_pos :args (@t480)) % 151.91/152.19 (step @p672 :rule reordering :premises (@p671) :args ((or @t421 @t420 @t479 (not @t480)))) % 151.91/152.19 (step @p673 :rule chain_m_resolution :premises (@p672 @p562 @p568 @p670) :args (@t479 @t481 (@list @t416 @t419 @t480))) % 151.91/152.19 (step @p674 :rule instantiate :premises (@p669) :args ((@list @t396 @t397 @t398))) % 151.91/152.19 (step @p675 :rule cnf_or_pos :args (@t483)) % 151.91/152.19 (step @p676 :rule reordering :premises (@p675) :args ((or @t421 @t420 @t482 (not @t483)))) % 151.91/152.19 (step @p677 :rule chain_m_resolution :premises (@p676 @p562 @p568 @p674) :args (@t482 @t481 (@list @t416 @t419 @t483))) % 151.91/152.19 (step @p678 :rule cnf_or_pos :args (@t487)) % 151.91/152.19 (step @p679 :rule reordering :premises (@p678) :args ((or @t485 @t486 @t484 @t478 (not @t487)))) % 151.91/152.19 (step @p680 :rule chain_m_resolution :premises (@p679 @p677 @p673 @p668 @p594) :args (@t484 (@list false false false false) (@list @t482 @t479 @t443 @t487))) % 151.91/152.19 (step @p681 :rule cnf_or_neg :args (@t422 2)) % 151.91/152.19 (step @p682 :rule chain_m_resolution :premises (@p681 @p555) :args ((not @t418) @t423 @t424)) % 151.91/152.19 (step @p683 :rule cnf_or_pos :args (@t491)) % 151.91/152.19 (step @p684 :rule reordering :premises (@p683) :args ((or @t418 @t490 @t489 (not @t491)))) % 151.91/152.19 (step @p685 :rule chain_m_resolution :premises (@p684 @p682 @p680 @p593) :args (@t489 (@list true false false) (@list @t418 @t484 @t491))) % 151.91/152.19 (step @p686 :rule cnf_or_pos :args (@t493)) % 151.91/152.19 (step @p687 :rule reordering :premises (@p686) :args ((or @t485 @t486 @t488 @t492 (not @t493)))) % 151.91/152.19 (step @p688 :rule chain_m_resolution :premises (@p687 @p677 @p673 @p685 @p591) :args (@t492 @t494 (@list @t482 @t479 @t488 @t493))) % 151.91/152.19 (step @p689 :rule refl :args (@t498)) % 151.91/152.19 (step @p690 :rule bool-double-not-elim :args (@t431)) % 151.91/152.19 (step @p691 :rule nary_cong :premises (@p690 @p689) :args ((or (not @t492) @t498))) % 151.91/152.19 (assume-push @p746 @t492) % 151.91/152.19 (step @p693 :rule skolemize :premises (@p746)) % 151.91/152.19 (step-pop @p747 :rule scope :premises (@p693)) % 151.91/152.19 (step @p694 :rule process_scope :premises (@p747) :args (@t498)) % 151.91/152.19 (step @p696 :rule implies_elim :premises (@p694)) % 151.91/152.19 (step @p697 :rule eq_resolve :premises (@p696 @p691)) % 151.91/152.19 (step @p698 :rule chain_m_resolution :premises (@p697 @p688) :args (@t498 @t423 (@list @t431))) % 151.91/152.19 (step @p699 :rule cnf_or_neg :args (@t497 3)) % 151.91/152.19 (step @p700 :rule chain_m_resolution :premises (@p699 @p698) :args ((not @t435) @t423 @t499)) % 151.91/152.19 (step @p701 :rule bool-double-not-elim :args (@t438)) % 151.91/152.19 (step @p702 :rule refl :args (@t497)) % 151.91/152.19 (step @p703 :rule nary_cong :premises (@p702 @p701) :args ((or @t497 (not @t439)))) % 151.91/152.19 (step @p704 :rule cnf_or_neg :args (@t497 1)) % 151.91/152.19 (step @p705 :rule eq_resolve :premises (@p704 @p703)) % 151.91/152.19 (step @p706 :rule reordering :premises (@p705) :args ((or @t438 @t497))) % 151.91/152.19 (step @p707 :rule chain_m_resolution :premises (@p706 @p698) :args (@t438 @t423 @t499)) % 151.91/152.19 (step @p708 :rule bool-double-not-elim :args (@t440)) % 151.91/152.19 (step @p709 :rule nary_cong :premises (@p702 @p708) :args ((or @t497 (not @t441)))) % 151.91/152.19 (step @p710 :rule cnf_or_neg :args (@t497 0)) % 151.91/152.19 (step @p711 :rule eq_resolve :premises (@p710 @p709)) % 151.91/152.19 (step @p712 :rule reordering :premises (@p711) :args ((or @t440 @t497))) % 151.91/152.19 (step @p713 :rule chain_m_resolution :premises (@p712 @p698) :args (@t440 @t423 @t499)) % 151.91/152.19 (step @p714 :rule cnf_or_pos :args (@t442)) % 151.91/152.19 (step @p715 :rule reordering :premises (@p714) :args ((or @t441 @t439 @t435 @t437 (not @t442)))) % 151.91/152.19 (step @p716 :rule chain_m_resolution :premises (@p715 @p713 @p707 @p700 @p589) :args (@t437 @t494 (@list @t440 @t438 @t435 @t442))) % 151.91/152.19 (step @p717 :rule instantiate :premises (@p612) :args ((@list @t396 @t398 @t397 @t433 @t432))) % 151.91/152.19 (step @p718 :rule cnf_or_pos :args (@t502)) % 151.91/152.19 (step @p719 :rule reordering :premises (@p718) :args ((or @t421 @t420 @t441 @t439 @t435 @t501 (not @t502)))) % 151.91/152.19 (step @p720 :rule chain_m_resolution :premises (@p719 @p562 @p568 @p713 @p707 @p700 @p717) :args (@t501 (@list false false false false true false) (@list @t416 @t419 @t440 @t438 @t435 @t502))) % 151.91/152.19 (step @p721 :rule bool-double-not-elim :args (@t495)) % 151.91/152.19 (step @p722 :rule nary_cong :premises (@p702 @p721) :args ((or @t497 (not @t496)))) % 151.91/152.19 (step @p723 :rule cnf_or_neg :args (@t497 2)) % 151.91/152.19 (step @p724 :rule eq_resolve :premises (@p723 @p722)) % 151.91/152.19 (step @p725 :rule reordering :premises (@p724) :args ((or @t495 @t497))) % 151.91/152.19 (step @p726 :rule chain_m_resolution :premises (@p725 @p698) :args (@t495 @t423 @t499)) % 151.91/152.19 (step @p727 :rule cnf_or_pos :args (@t503)) % 151.91/152.19 (step @p728 :rule reordering :premises (@p727) :args ((or @t421 @t420 @t441 @t439 @t496 @t500 @t436 @t504))) % 151.91/152.19 (step @p729 :rule chain_m_resolution :premises (@p728 @p562 @p568 @p713 @p707 @p726 @p720 @p716) :args (@t504 (@list false false false false false true true) (@list @t416 @t419 @t440 @t438 @t495 @t500 @t436))) % 151.91/152.19 (assume-push @p748 @t108) % 151.91/152.19 (step @p731 :rule instantiate :premises (@p536) :args ((@list @t396 @t397 @t398 @t433 @t432))) % 151.91/152.19 (step-pop @p749 :rule scope :premises (@p731)) % 151.91/152.19 (step @p732 :rule process_scope :premises (@p749) :args (@t503)) % 151.91/152.19 (step @p734 :rule implies_elim :premises (@p732)) % 151.91/152.19 (step @p735 false :rule chain_m_resolution :premises (@p734 @p729 @p536) :args (false (@list true false) (@list @t503 @t108))) % 151.91/152.19 ) % 151.91/152.19 % SZS output end Proof % 151.91/152.19 % cvc5 exiting %------------------------------------------------------------------------------