%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV244^6 : TPTP v9.2.1. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:55:40 AM UTC 2026 % Result : Theorem 150.48s 150.80s % Output : Proof 150.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV244^6 : TPTP v9.2.1. Released v5.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n014.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 18:22:28 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.50 %----Proving TH0 % 150.48/150.80 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.48/150.80 --- 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... % 150.48/150.80 --- 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... % 150.48/150.80 --- Run --ho-elim --full-saturate-quant at 18s... % 150.48/150.80 % SZS status Theorem % 150.48/150.80 % SZS output start Proof % 150.48/150.80 ( % 150.48/150.80 (declare-sort $$unsorted 0) % 150.48/150.80 (define @t1 () (@var "Xx" $$unsorted)) % 150.48/150.80 (define @t2 () (@var "S" (-> $$unsorted Bool))) % 150.48/150.80 (define @t3 () (_ @t2 @t1)) % 150.48/150.80 (define @t4 () (@var "Xx0" $$unsorted)) % 150.48/150.80 (define @t5 () (@var "K" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 150.48/150.80 (define @t6 () (_ @t5 @t2)) % 150.48/150.80 (define @t7 () (_ @t6 @t4)) % 150.48/150.80 (define @t8 () (_ @t2 @t4)) % 150.48/150.80 (define @t9 () (@list @t4)) % 150.48/150.80 (define @t10 () (forall @t9 (=> @t8 @t7))) % 150.48/150.80 (define @t11 () (and @t10 @t3)) % 150.48/150.80 (define @t12 () (@list @t2)) % 150.48/150.80 (define @t13 () (exists @t12 @t11)) % 150.48/150.80 (define @t14 () (@var "Xx1" $$unsorted)) % 150.48/150.80 (define @t15 () (_ @t6 @t14)) % 150.48/150.80 (define @t16 () (_ @t2 @t14)) % 150.48/150.80 (define @t17 () (@list @t14)) % 150.48/150.80 (define @t18 () (forall @t17 (=> @t16 @t15))) % 150.48/150.80 (define @t19 () (and @t18 @t8)) % 150.48/150.80 (define @t20 () (exists @t12 @t19)) % 150.48/150.80 (define @t21 () (lambda @t9 @t20)) % 150.48/150.80 (define @t22 () (= (_ (_ @t5 @t21) @t1) @t13)) % 150.48/150.80 (define @t23 () (@list @t1)) % 150.48/150.80 (define @t24 () (forall @t23 @t22)) % 150.48/150.80 (define @t25 () (@var "Xy" (-> $$unsorted Bool))) % 150.48/150.80 (define @t26 () (_ (_ @t5 @t25) @t4)) % 150.48/150.80 (define @t27 () (@var "Xx" (-> $$unsorted Bool))) % 150.48/150.80 (define @t28 () (_ (_ @t5 @t27) @t4)) % 150.48/150.80 (define @t29 () (forall @t9 (=> @t28 @t26))) % 150.48/150.80 (define @t30 () (_ @t25 @t4)) % 150.48/150.80 (define @t31 () (_ @t27 @t4)) % 150.48/150.80 (define @t32 () (forall @t9 (=> @t31 @t30))) % 150.48/150.80 (define @t33 () (=> @t32 @t29)) % 150.48/150.80 (define @t34 () (@list @t27 @t25)) % 150.48/150.80 (define @t35 () (forall @t34 @t33)) % 150.48/150.80 (define @t36 () (=> @t35 @t24)) % 150.48/150.80 (define @t37 () (@list @t5)) % 150.48/150.80 (define @t38 () (forall @t37 @t36)) % 150.48/150.80 (define @t39 () (not @t38)) % 150.48/150.80 (define @t40 () (@var "BOUND_VARIABLE_7544" $$unsorted)) % 150.48/150.80 (define @t41 () (@var "BOUND_VARIABLE_7614" (@ho-elim-sort (-> $$unsorted Bool)))) % 150.48/150.80 (define @t42 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 150.48/150.80 (define @t43 () (@var "BOUND_VARIABLE_7601" (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)))) % 150.48/150.80 (define @t44 () (@const 1 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)) (@ho-elim-sort (-> $$unsorted Bool)) (@ho-elim-sort (-> $$unsorted Bool))))) % 150.48/150.80 (define @t45 () (not (_ @t42 @t41 @t4))) % 150.48/150.80 (define @t46 () (@list @t41)) % 150.48/150.80 (define @t47 () (not (forall @t46 (or (not (forall @t9 (or @t45 (_ @t42 (_ @t44 @t43 @t41) @t4)))) (not (_ @t42 @t41 @t40)))))) % 150.48/150.80 (define @t48 () (@const 2 (@ho-elim-sort (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)) $$unsorted Bool)))) % 150.48/150.80 (define @t49 () (@const 3 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)) $$unsorted Bool)) (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)) (@ho-elim-sort (-> $$unsorted Bool))))) % 150.48/150.80 (define @t50 () (_ @t42 (_ @t44 @t43 (_ @t49 @t48 @t43)) @t40)) % 150.48/150.80 (define @t51 () (@var "BOUND_VARIABLE_7477" $$unsorted)) % 150.48/150.80 (define @t52 () (@var "BOUND_VARIABLE_7630" (@ho-elim-sort (-> $$unsorted Bool)))) % 150.48/150.80 (define @t53 () (@var "BOUND_VARIABLE_7634" (@ho-elim-sort (-> $$unsorted Bool)))) % 150.48/150.80 (define @t54 () (not (forall @t9 (or (not (_ @t42 @t53 @t4)) (_ @t42 @t52 @t4))))) % 150.48/150.80 (define @t55 () (@list @t53 @t52 @t51)) % 150.48/150.80 (define @t56 () (not (forall @t55 (or @t54 (not (_ @t42 (_ @t44 @t43 @t53) @t51)) (_ @t42 (_ @t44 @t43 @t52) @t51))))) % 150.48/150.80 (define @t57 () (@list @t43 @t40)) % 150.48/150.80 (define @t58 () (forall @t57 (or @t56 (= @t50 @t47)))) % 150.48/150.80 (define @t59 () (@quantifiers_skolemize @t58 0)) % 150.48/150.80 (define @t60 () (_ @t49 @t48 @t59)) % 150.48/150.80 (define @t61 () (_ @t44 @t59 @t60)) % 150.48/150.80 (define @t62 () (_ @t42 @t61 @t4)) % 150.48/150.80 (define @t63 () (_ @t42 @t60 @t4)) % 150.48/150.80 (define @t64 () (forall @t9 (or (not @t63) @t62))) % 150.48/150.80 (define @t65 () (@quantifiers_skolemize @t64 0)) % 150.48/150.80 (define @t66 () (_ @t42 @t60 @t65)) % 150.48/150.80 (define @t67 () (_ @t42 @t61 @t65)) % 150.48/150.80 (define @t68 () (not @t66)) % 150.48/150.80 (define @t69 () (or @t68 @t67)) % 150.48/150.80 (define @t70 () (@var "BOUND_VARIABLE_7579" $$unsorted)) % 150.48/150.80 (define @t71 () (@var "BOUND_VARIABLE_7661" (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)))) % 150.48/150.80 (define @t72 () (not (_ @t42 @t41 @t14))) % 150.48/150.80 (define @t73 () (not (forall @t46 (or (not (forall @t17 (or @t72 (_ @t42 (_ @t44 @t71 @t41) @t14)))) (not (_ @t42 @t41 @t70)))))) % 150.48/150.80 (define @t74 () (_ @t42 (_ @t49 @t48 @t71) @t70)) % 150.48/150.80 (define @t75 () (forall (@list @t71 @t70) (= @t73 @t74))) % 150.48/150.80 (define @t76 () (@var "BOUND_VARIABLE_7578" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 150.48/150.80 (define @t77 () (@const 4 (-> (-> (-> $$unsorted Bool) $$unsorted Bool) $$unsorted Bool))) % 150.48/150.80 (define @t78 () (_ @t2 @t14)) % 150.48/150.80 (define @t79 () (not @t78)) % 150.48/150.80 (define @t80 () (forall (@list @t76 @t70) (= (not (forall @t12 (or (not (forall @t17 (or @t79 (_ @t76 @t2 @t14)))) (not (_ @t2 @t70))))) (_ @t77 @t76 @t70)))) % 150.48/150.80 (define @t81 () (_ @t44 @t59 @t41)) % 150.48/150.80 (define @t82 () (not (forall @t17 (or @t72 (_ @t42 @t81 @t14))))) % 150.48/150.80 (define @t83 () (forall @t46 (or @t82 (not (_ @t42 @t41 @t65))))) % 150.48/150.80 (define @t84 () (not @t83)) % 150.48/150.80 (define @t85 () (= @t66 @t84)) % 150.48/150.80 (define @t86 () (@quantifiers_skolemize @t83 0)) % 150.48/150.80 (define @t87 () (_ @t42 @t86 @t65)) % 150.48/150.80 (define @t88 () (not @t87)) % 150.48/150.80 (define @t89 () (_ @t44 @t59 @t86)) % 150.48/150.80 (define @t90 () (forall @t17 (or (not (_ @t42 @t86 @t14)) (_ @t42 @t89 @t14)))) % 150.48/150.80 (define @t91 () (not @t90)) % 150.48/150.80 (define @t92 () (or @t91 @t88)) % 150.48/150.80 (define @t93 () (not @t92)) % 150.48/150.80 (define @t94 () (_ @t42 @t89 @t65)) % 150.48/150.80 (define @t95 () (or @t88 @t94)) % 150.48/150.80 (define @t96 () (or @t56 (= @t47 @t50))) % 150.48/150.80 (define @t97 () (forall @t57 @t96)) % 150.48/150.80 (define @t98 () (not @t97)) % 150.48/150.80 (define @t99 () (_ @t5 @t2 @t4)) % 150.48/150.80 (define @t100 () (_ @t2 @t4)) % 150.48/150.80 (define @t101 () (not @t100)) % 150.48/150.80 (define @t102 () (forall @t9 (or @t101 @t99))) % 150.48/150.80 (define @t103 () (not @t102)) % 150.48/150.80 (define @t104 () (not (forall @t12 (or @t103 (not (_ @t2 @t40)))))) % 150.48/150.80 (define @t105 () (_ @t5 @t25 @t51)) % 150.48/150.80 (define @t106 () (not (_ @t5 @t27 @t51))) % 150.48/150.80 (define @t107 () (_ @t25 @t4)) % 150.48/150.80 (define @t108 () (_ @t27 @t4)) % 150.48/150.80 (define @t109 () (forall @t9 (or (not @t108) @t107))) % 150.48/150.80 (define @t110 () (not @t109)) % 150.48/150.80 (define @t111 () (or @t110 @t106 @t105)) % 150.48/150.80 (define @t112 () (@list @t27 @t25 @t51)) % 150.48/150.80 (define @t113 () (forall @t112 @t111)) % 150.48/150.80 (define @t114 () (not @t113)) % 150.48/150.80 (define @t115 () (@list @t5 @t40)) % 150.48/150.80 (define @t116 () (not (forall @t115 (or @t114 (= @t104 (_ @t5 (_ @t77 @t5) @t40)))))) % 150.48/150.80 (define @t117 () (_ @t5 @t2 @t14)) % 150.48/150.80 (define @t118 () (or @t79 @t117)) % 150.48/150.80 (define @t119 () (forall @t17 @t118)) % 150.48/150.80 (define @t120 () (not @t119)) % 150.48/150.80 (define @t121 () (or @t120 @t101)) % 150.48/150.80 (define @t122 () (forall @t12 @t121)) % 150.48/150.80 (define @t123 () (not @t122)) % 150.48/150.80 (define @t124 () (lambda @t9 @t123)) % 150.48/150.80 (define @t125 () (= @t104 (_ @t5 @t124 @t40))) % 150.48/150.80 (define @t126 () (or @t114 @t125)) % 150.48/150.80 (define @t127 () (forall @t115 @t126)) % 150.48/150.80 (define @t128 () (@list @t40)) % 150.48/150.80 (define @t129 () (forall @t128 @t126)) % 150.48/150.80 (define @t130 () (forall @t128 @t125)) % 150.48/150.80 (define @t131 () (or @t114 @t130)) % 150.48/150.80 (define @t132 () (_ @t5 @t124 @t1)) % 150.48/150.80 (define @t133 () (_ @t2 @t1)) % 150.48/150.80 (define @t134 () (not (forall @t12 (or @t103 (not @t133))))) % 150.48/150.80 (define @t135 () (forall @t23 (= @t134 @t132))) % 150.48/150.80 (define @t136 () (not @t8)) % 150.48/150.80 (define @t137 () (not @t16)) % 150.48/150.80 (define @t138 () (or @t137 @t15)) % 150.48/150.80 (define @t139 () (forall @t17 @t138)) % 150.48/150.80 (define @t140 () (lambda @t9 (not (forall @t12 (or (not @t139) @t136))))) % 150.48/150.80 (define @t141 () (_ (_ @t5 @t124) @t1)) % 150.48/150.80 (define @t142 () (= @t141 @t134)) % 150.48/150.80 (define @t143 () (not @t3)) % 150.48/150.80 (define @t144 () (or @t103 @t143)) % 150.48/150.80 (define @t145 () (and @t102 @t3)) % 150.48/150.80 (define @t146 () (forall @t12 (not @t145))) % 150.48/150.80 (define @t147 () (not @t146)) % 150.48/150.80 (define @t148 () (or @t136 @t7)) % 150.48/150.80 (define @t149 () (or @t120 @t136)) % 150.48/150.80 (define @t150 () (and @t119 @t8)) % 150.48/150.80 (define @t151 () (forall @t12 (not @t150))) % 150.48/150.80 (define @t152 () (not @t151)) % 150.48/150.80 (define @t153 () (or @t106 @t105)) % 150.48/150.80 (define @t154 () (or @t110 @t153)) % 150.48/150.80 (define @t155 () (forall @t112 @t154)) % 150.48/150.80 (define @t156 () (@list @t51)) % 150.48/150.80 (define @t157 () (forall @t156 @t154)) % 150.48/150.80 (define @t158 () (forall @t156 @t153)) % 150.48/150.80 (define @t159 () (or @t110 @t158)) % 150.48/150.80 (define @t160 () (_ @t5 @t25 @t4)) % 150.48/150.80 (define @t161 () (_ @t5 @t27 @t4)) % 150.48/150.80 (define @t162 () (forall @t9 (or (not @t161) @t160))) % 150.48/150.80 (define @t163 () (not @t28)) % 150.48/150.80 (define @t164 () (or @t163 @t26)) % 150.48/150.80 (define @t165 () (not @t31)) % 150.48/150.80 (define @t166 () (or @t165 @t30)) % 150.48/150.80 (define @t167 () (forall @t55 (or @t54 (not (_ @t42 (_ @t44 @t59 @t53) @t51)) (_ @t42 (_ @t44 @t59 @t52) @t51)))) % 150.48/150.80 (define @t168 () (@quantifiers_skolemize @t58 1)) % 150.48/150.80 (define @t169 () (not (_ @t42 @t41 @t168))) % 150.48/150.80 (define @t170 () (forall @t46 (or (not (forall @t9 (or @t45 (_ @t42 @t81 @t4)))) @t169))) % 150.48/150.80 (define @t171 () (not @t170)) % 150.48/150.80 (define @t172 () (_ @t42 @t61 @t168)) % 150.48/150.80 (define @t173 () (= @t172 @t171)) % 150.48/150.80 (define @t174 () (not @t167)) % 150.48/150.80 (define @t175 () (or @t174 @t173)) % 150.48/150.80 (define @t176 () (@list true)) % 150.48/150.80 (define @t177 () (@list @t175)) % 150.48/150.80 (define @t178 () (not @t94)) % 150.48/150.80 (define @t179 () (forall @t9 (or (not (_ @t42 @t86 @t4)) @t63))) % 150.48/150.80 (define @t180 () (not @t179)) % 150.48/150.80 (define @t181 () (or @t180 @t178 @t67)) % 150.48/150.80 (define @t182 () (@quantifiers_skolemize @t179 0)) % 150.48/150.80 (define @t183 () (_ @t42 @t60 @t182)) % 150.48/150.80 (define @t184 () (_ @t42 @t86 @t182)) % 150.48/150.80 (define @t185 () (not @t184)) % 150.48/150.80 (define @t186 () (or @t185 @t183)) % 150.48/150.80 (define @t187 () (not @t186)) % 150.48/150.80 (define @t188 () (or @t91 @t185)) % 150.48/150.80 (define @t189 () (forall @t46 (or @t82 (not (_ @t42 @t41 @t182))))) % 150.48/150.80 (define @t190 () (not @t189)) % 150.48/150.80 (define @t191 () (= @t183 @t190)) % 150.48/150.80 (define @t192 () (not @t191)) % 150.48/150.80 (define @t193 () (not @t69)) % 150.48/150.80 (define @t194 () (not @t64)) % 150.48/150.80 (define @t195 () (@list false)) % 150.48/150.80 (define @t196 () (_ @t42 @t60 @t168)) % 150.48/150.80 (define @t197 () (not @t196)) % 150.48/150.80 (define @t198 () (or @t197 @t172)) % 150.48/150.80 (define @t199 () (not @t172)) % 150.48/150.80 (define @t200 () (_ @t44 @t59 @t61)) % 150.48/150.80 (define @t201 () (forall @t9 (or (not @t62) (_ @t42 @t200 @t4)))) % 150.48/150.80 (define @t202 () (@quantifiers_skolemize @t201 0)) % 150.48/150.80 (define @t203 () (_ @t42 @t61 @t202)) % 150.48/150.80 (define @t204 () (_ @t42 @t200 @t202)) % 150.48/150.80 (define @t205 () (not @t203)) % 150.48/150.80 (define @t206 () (or @t205 @t204)) % 150.48/150.80 (define @t207 () (or @t194 @t205 @t204)) % 150.48/150.80 (define @t208 () (not @t206)) % 150.48/150.80 (define @t209 () (not @t201)) % 150.48/150.80 (define @t210 () (or @t209 @t199)) % 150.48/150.80 (define @t211 () (@var "BOUND_VARIABLE_11041" (@ho-elim-sort (-> $$unsorted Bool)))) % 150.48/150.80 (define @t212 () (@var "BOUND_VARIABLE_11042" $$unsorted)) % 150.48/150.80 (define @t213 () (@list @t211 @t212)) % 150.48/150.80 (define @t214 () (forall @t46 (or @t82 @t169))) % 150.48/150.80 (define @t215 () (not @t214)) % 150.48/150.80 (define @t216 () (= @t196 @t215)) % 150.48/150.80 (define @t217 () (not @t216)) % 150.48/150.80 (assume @p1 @t39) % 150.48/150.80 (assume @p2 true) % 150.48/150.80 (step @p3 :rule bool-double-not-elim :args (@t66)) % 150.48/150.80 (step @p4 :rule refl :args (@t69)) % 150.48/150.80 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t69 (not @t68)))) % 150.48/150.80 (step @p6 :rule cnf_or_neg :args (@t69 0)) % 150.48/150.80 (step @p7 :rule eq_resolve :premises (@p6 @p5)) % 150.48/150.80 (step @p8 :rule reordering :premises (@p7) :args ((or @t66 @t69))) % 150.48/150.80 (step @p9 :rule cnf_or_neg :args (@t69 1)) % 150.48/150.80 (step @p10 :rule eq-symm :args (@t73 @t74)) % 150.48/150.80 (step @p11 :rule cong :premises (@p10) :args (@t75)) % 150.48/150.80 ; WARNING: add trust step for TRUST % 150.48/150.80 ; trust TRUST PREPROCESS_HO_ELIM % 150.48/150.80 (step @p12 :rule trust :premises () :args ((= @t80 @t75))) % 150.48/150.80 (step @p13 :rule trans :premises (@p12 @p11)) % 150.48/150.80 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 150.48/150.80 (step @p14 :rule trust :premises () :args (@t80)) % 150.48/150.80 (step @p15 :rule eq_resolve :premises (@p14 @p13)) % 150.48/150.80 (step @p16 :rule instantiate :premises (@p15) :args ((@list @t59 @t65))) % 150.48/150.80 (step @p17 :rule cnf_equiv_pos1 :args (@t85)) % 150.48/150.80 (step @p18 :rule reordering :premises (@p17) :args ((or @t68 @t84 (not @t85)))) % 150.48/150.80 (step @p19 :rule refl :args (@t93)) % 150.48/150.80 (step @p20 :rule bool-double-not-elim :args (@t83)) % 150.48/150.80 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or (not @t84) @t93))) % 150.48/150.80 (assume-push @p336 @t84) % 150.48/150.80 (step @p23 :rule skolemize :premises (@p336)) % 150.48/150.80 (step-pop @p337 :rule scope :premises (@p23)) % 150.48/150.80 (step @p24 :rule process_scope :premises (@p337) :args (@t93)) % 150.48/150.80 (step @p26 :rule implies_elim :premises (@p24)) % 150.48/150.80 (step @p27 :rule eq_resolve :premises (@p26 @p21)) % 150.48/150.80 (step @p28 :rule bool-double-not-elim :args (@t90)) % 150.48/150.80 (step @p29 :rule refl :args (@t92)) % 150.48/150.80 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t92 (not @t91)))) % 150.48/150.80 (step @p31 :rule cnf_or_neg :args (@t92 0)) % 150.48/150.80 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 150.48/150.80 (step @p33 :rule reordering :premises (@p32) :args ((or @t90 @t92))) % 150.48/150.80 (step @p34 :rule bool-double-not-elim :args (@t87)) % 150.48/150.80 (step @p35 :rule nary_cong :premises (@p29 @p34) :args ((or @t92 (not @t88)))) % 150.48/150.80 (step @p36 :rule cnf_or_neg :args (@t92 1)) % 150.48/150.80 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 150.48/150.80 (step @p38 :rule reordering :premises (@p37) :args ((or @t87 @t92))) % 150.48/150.80 (assume-push @p338 @t90) % 150.48/150.80 (step @p40 :rule instantiate :premises (@p338) :args ((@list @t65))) % 150.48/150.80 (step-pop @p339 :rule scope :premises (@p40)) % 150.48/150.80 (step @p41 :rule process_scope :premises (@p339) :args (@t95)) % 150.48/150.80 (step @p43 :rule implies_elim :premises (@p41)) % 150.48/150.80 (step @p44 :rule cnf_or_pos :args (@t95)) % 150.48/150.80 (step @p45 :rule reordering :premises (@p44) :args ((or @t88 @t94 (not @t95)))) % 150.48/150.80 (step @p46 :rule eq-symm :args (@t47 @t50)) % 150.48/150.80 (step @p47 :rule refl :args (@t56)) % 150.48/150.80 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t96)) % 150.48/150.80 (step @p49 :rule cong :premises (@p48) :args (@t97)) % 150.48/150.80 (step @p50 :rule cong :premises (@p49) :args (@t98)) % 150.48/150.80 ; trust TRUST PREPROCESS_HO_ELIM % 150.48/150.80 (step @p51 :rule trust :premises () :args ((= @t116 @t98))) % 150.48/150.80 ; trust TRUST PREPROCESS_HO_ELIM % 150.48/150.80 (step @p52 :rule trust :premises () :args ((= (not @t127) @t116))) % 150.48/150.80 (step @p53 :rule quant-merge-prenex :args ((= (forall @t37 @t129) @t127))) % 150.48/150.80 (step @p54 :rule alpha_equiv :args (@t130 (@list @t40) (@list @t1))) % 150.48/150.80 (step @p55 :rule refl :args (@t114)) % 150.48/150.80 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t131)) % 150.48/150.80 (step @p57 :rule quant-miniscope-or :args ((= @t129 @t131))) % 150.48/150.80 (step @p58 :rule trans :premises (@p57 @p56)) % 150.48/150.80 (step @p59 :rule symm :premises (@p58)) % 150.48/150.80 (step @p60 :rule cong :premises (@p59) :args ((forall @t37 (or @t114 @t135)))) % 150.48/150.80 (step @p61 :rule trans :premises (@p60 @p53)) % 150.48/150.80 (step @p62 :rule bool-impl-elim :args (@t113 @t135)) % 150.48/150.80 (step @p63 :rule cong :premises (@p62) :args ((forall @t37 (=> @t113 @t135)))) % 150.48/150.80 (step @p64 :rule trans :premises (@p63 @p61)) % 150.48/150.80 (step @p65 :rule eq-symm :args (@t132 @t134)) % 150.48/150.80 (step @p66 :rule cong :premises (@p65) :args ((forall @t23 (= @t132 @t134)))) % 150.48/150.80 (step @p67 :rule refl :args (@t134)) % 150.48/150.80 (step @p68 :rule refl :args ((_ @t5 @t140 @t1))) % 150.48/150.80 (step @p69 :rule refl :args (@t1)) % 150.48/150.80 (step @p70 :rule refl :args (@t100)) % 150.48/150.80 (step @p71 :rule cong :premises (@p70) :args (@t101)) % 150.48/150.80 (step @p72 :rule refl :args (@t117)) % 150.48/150.80 (step @p73 :rule refl :args (@t78)) % 150.48/150.80 (step @p74 :rule cong :premises (@p73) :args (@t79)) % 150.48/150.80 (step @p75 :rule nary_cong :premises (@p74 @p72) :args (@t118)) % 150.48/150.80 (step @p76 :rule cong :premises (@p75) :args (@t119)) % 150.48/150.80 (step @p77 :rule cong :premises (@p76) :args (@t120)) % 150.48/150.80 (step @p78 :rule nary_cong :premises (@p77 @p71) :args (@t121)) % 150.48/150.80 (step @p79 :rule cong :premises (@p78) :args (@t122)) % 150.48/150.80 (step @p80 :rule cong :premises (@p79) :args (@t123)) % 150.48/150.80 (step @p81 :rule cong :premises (@p80) :args (@t124)) % 150.48/150.80 (step @p82 :rule cong :premises (@p81 @p69) :args (@t132)) % 150.48/150.80 (step @p83 :rule trans :premises (@p82 @p68)) % 150.48/150.80 (step @p84 :rule refl :args (@t5)) % 150.48/150.80 (step @p85 :rule ho_cong :premises (@p84 @p81)) % 150.48/150.80 (step @p86 :rule ho_cong :premises (@p85 @p69)) % 150.48/150.80 (step @p87 :rule cong :premises (@p86 @p83) :args ((= @t141 @t132))) % 150.48/150.80 (step @p88 :rule symm :premises (@p87)) % 150.48/150.80 (step @p89 :rule refl :args ((_ (_ @t5 @t140) @t1))) % 150.48/150.80 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 150.48/150.80 (step @p91 :rule cong :premises (@p90 @p67) :args (@t142)) % 150.52/150.80 (step @p92 :rule cong :premises (@p91) :args ((forall @t23 @t142))) % 150.52/150.80 (step @p93 :rule trans :premises (@p92 @p66)) % 150.52/150.80 (step @p94 :rule refl :args (@t133)) % 150.52/150.80 (step @p95 :rule refl :args (@t3)) % 150.52/150.80 (step @p96 :rule cong :premises (@p95 @p94) :args ((= @t3 @t133))) % 150.52/150.80 (step @p97 :rule symm :premises (@p96)) % 150.52/150.80 (step @p98 :rule eq_resolve :premises (@p95 @p97)) % 150.52/150.80 (step @p99 :rule cong :premises (@p98) :args (@t143)) % 150.52/150.80 (step @p100 :rule refl :args (@t103)) % 150.52/150.80 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t144)) % 150.52/150.80 (step @p102 :rule cong :premises (@p101) :args ((forall @t12 @t144))) % 150.52/150.80 (step @p103 :rule bool-and-de-morgan :args (@t102 @t3 true)) % 150.52/150.80 (step @p104 :rule cong :premises (@p103) :args (@t146)) % 150.52/150.80 (step @p105 :rule trans :premises (@p104 @p102)) % 150.52/150.80 (step @p106 :rule cong :premises (@p105) :args (@t147)) % 150.52/150.80 (step @p107 :rule exists-elim :args ((= (exists @t12 @t145) @t147))) % 150.52/150.80 (step @p108 :rule trans :premises (@p107 @p106)) % 150.52/150.80 (step @p109 :rule refl :args (@t3)) % 150.52/150.80 (step @p110 :rule refl :args (@t99)) % 150.52/150.80 (step @p111 :rule refl :args (@t7)) % 150.52/150.80 (step @p112 :rule cong :premises (@p111 @p110) :args ((= @t7 @t99))) % 150.52/150.80 (step @p113 :rule symm :premises (@p112)) % 150.52/150.80 (step @p114 :rule eq_resolve :premises (@p111 @p113)) % 150.52/150.80 (step @p115 :rule refl :args (@t8)) % 150.52/150.80 (step @p116 :rule cong :premises (@p115 @p70) :args ((= @t8 @t100))) % 150.52/150.80 (step @p117 :rule symm :premises (@p116)) % 150.52/150.80 (step @p118 :rule eq_resolve :premises (@p115 @p117)) % 150.52/150.80 (step @p119 :rule cong :premises (@p118) :args (@t136)) % 150.52/150.80 (step @p120 :rule nary_cong :premises (@p119 @p114) :args (@t148)) % 150.52/150.80 (step @p121 :rule cong :premises (@p120) :args ((forall @t9 @t148))) % 150.52/150.80 (step @p122 :rule bool-impl-elim :args (@t8 @t7)) % 150.52/150.80 (step @p123 :rule cong :premises (@p122) :args (@t10)) % 150.52/150.80 (step @p124 :rule trans :premises (@p123 @p121)) % 150.52/150.80 (step @p125 :rule nary_cong :premises (@p124 @p109) :args (@t11)) % 150.52/150.80 (step @p126 :rule cong :premises (@p125) :args (@t13)) % 150.52/150.80 (step @p127 :rule trans :premises (@p126 @p108)) % 150.52/150.80 (step @p128 :rule refl :args (@t1)) % 150.52/150.80 (step @p129 :rule refl :args (@t120)) % 150.52/150.80 (step @p130 :rule nary_cong :premises (@p129 @p119) :args (@t149)) % 150.52/150.80 (step @p131 :rule cong :premises (@p130) :args ((forall @t12 @t149))) % 150.52/150.80 (step @p132 :rule bool-and-de-morgan :args (@t119 @t8 true)) % 150.52/150.80 (step @p133 :rule cong :premises (@p132) :args (@t151)) % 150.52/150.80 (step @p134 :rule trans :premises (@p133 @p131)) % 150.52/150.80 (step @p135 :rule cong :premises (@p134) :args (@t152)) % 150.52/150.80 (step @p136 :rule exists-elim :args ((= (exists @t12 @t150) @t152))) % 150.52/150.80 (step @p137 :rule trans :premises (@p136 @p135)) % 150.52/150.80 (step @p138 :rule refl :args (@t8)) % 150.52/150.80 (step @p139 :rule refl :args (@t15)) % 150.52/150.80 (step @p140 :rule cong :premises (@p139 @p72) :args ((= @t15 @t117))) % 150.52/150.80 (step @p141 :rule symm :premises (@p140)) % 150.52/150.80 (step @p142 :rule eq_resolve :premises (@p139 @p141)) % 150.52/150.80 (step @p143 :rule refl :args (@t16)) % 150.52/150.80 (step @p144 :rule cong :premises (@p143 @p73) :args ((= @t16 @t78))) % 150.52/150.80 (step @p145 :rule symm :premises (@p144)) % 150.52/150.80 (step @p146 :rule eq_resolve :premises (@p143 @p145)) % 150.52/150.80 (step @p147 :rule cong :premises (@p146) :args (@t137)) % 150.52/150.80 (step @p148 :rule nary_cong :premises (@p147 @p142) :args (@t138)) % 150.52/150.80 (step @p149 :rule cong :premises (@p148) :args (@t139)) % 150.52/150.80 (step @p150 :rule bool-impl-elim :args (@t16 @t15)) % 150.52/150.80 (step @p151 :rule cong :premises (@p150) :args (@t18)) % 150.52/150.80 (step @p152 :rule trans :premises (@p151 @p149)) % 150.52/150.80 (step @p153 :rule nary_cong :premises (@p152 @p138) :args (@t19)) % 150.52/150.80 (step @p154 :rule cong :premises (@p153) :args (@t20)) % 150.52/150.80 (step @p155 :rule trans :premises (@p154 @p137)) % 150.52/150.80 (step @p156 :rule cong :premises (@p155) :args (@t21)) % 150.52/150.80 (step @p157 :rule refl :args (@t5)) % 150.52/150.80 (step @p158 :rule ho_cong :premises (@p157 @p156)) % 150.52/150.80 (step @p159 :rule ho_cong :premises (@p158 @p128)) % 150.52/150.80 (step @p160 :rule cong :premises (@p159 @p127) :args (@t22)) % 150.52/150.80 (step @p161 :rule cong :premises (@p160) :args (@t24)) % 150.52/150.80 (step @p162 :rule trans :premises (@p161 @p93)) % 150.52/150.80 (step @p163 :rule aci_norm :args ((= @t154 @t111))) % 150.52/150.80 (step @p164 :rule cong :premises (@p163) :args (@t155)) % 150.52/150.80 (step @p165 :rule quant-merge-prenex :args ((= (forall @t34 @t157) @t155))) % 150.52/150.80 (step @p166 :rule alpha_equiv :args (@t158 (@list @t51) (@list @t4))) % 150.52/150.80 (step @p167 :rule refl :args (@t110)) % 150.52/150.80 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t159)) % 150.52/150.80 (step @p169 :rule quant-miniscope-or :args ((= @t157 @t159))) % 150.52/150.80 (step @p170 :rule trans :premises (@p169 @p168)) % 150.52/150.80 (step @p171 :rule symm :premises (@p170)) % 150.52/150.80 (step @p172 :rule cong :premises (@p171) :args ((forall @t34 (or @t110 @t162)))) % 150.52/150.80 (step @p173 :rule trans :premises (@p172 @p165)) % 150.52/150.80 (step @p174 :rule trans :premises (@p173 @p164)) % 150.52/150.80 (step @p175 :rule bool-impl-elim :args (@t109 @t162)) % 150.52/150.80 (step @p176 :rule cong :premises (@p175) :args ((forall @t34 (=> @t109 @t162)))) % 150.52/150.80 (step @p177 :rule trans :premises (@p176 @p174)) % 150.52/150.80 (step @p178 :rule refl :args (@t160)) % 150.52/150.80 (step @p179 :rule refl :args (@t26)) % 150.52/150.80 (step @p180 :rule cong :premises (@p179 @p178) :args ((= @t26 @t160))) % 150.52/150.80 (step @p181 :rule symm :premises (@p180)) % 150.52/150.80 (step @p182 :rule eq_resolve :premises (@p179 @p181)) % 150.52/150.80 (step @p183 :rule refl :args (@t161)) % 150.52/150.80 (step @p184 :rule refl :args (@t28)) % 150.52/150.80 (step @p185 :rule cong :premises (@p184 @p183) :args ((= @t28 @t161))) % 150.52/150.80 (step @p186 :rule symm :premises (@p185)) % 150.52/150.80 (step @p187 :rule eq_resolve :premises (@p184 @p186)) % 150.52/150.80 (step @p188 :rule cong :premises (@p187) :args (@t163)) % 150.52/150.80 (step @p189 :rule nary_cong :premises (@p188 @p182) :args (@t164)) % 150.52/150.80 (step @p190 :rule cong :premises (@p189) :args ((forall @t9 @t164))) % 150.52/150.80 (step @p191 :rule bool-impl-elim :args (@t28 @t26)) % 150.52/150.80 (step @p192 :rule cong :premises (@p191) :args (@t29)) % 150.52/150.80 (step @p193 :rule trans :premises (@p192 @p190)) % 150.52/150.80 (step @p194 :rule refl :args (@t107)) % 150.52/150.80 (step @p195 :rule refl :args (@t30)) % 150.52/150.80 (step @p196 :rule cong :premises (@p195 @p194) :args ((= @t30 @t107))) % 150.52/150.80 (step @p197 :rule symm :premises (@p196)) % 150.52/150.80 (step @p198 :rule eq_resolve :premises (@p195 @p197)) % 150.52/150.80 (step @p199 :rule refl :args (@t108)) % 150.52/150.80 (step @p200 :rule refl :args (@t31)) % 150.52/150.80 (step @p201 :rule cong :premises (@p200 @p199) :args ((= @t31 @t108))) % 150.52/150.80 (step @p202 :rule symm :premises (@p201)) % 150.52/150.80 (step @p203 :rule eq_resolve :premises (@p200 @p202)) % 150.52/150.80 (step @p204 :rule cong :premises (@p203) :args (@t165)) % 150.52/150.80 (step @p205 :rule nary_cong :premises (@p204 @p198) :args (@t166)) % 150.52/150.80 (step @p206 :rule cong :premises (@p205) :args ((forall @t9 @t166))) % 150.52/150.80 (step @p207 :rule bool-impl-elim :args (@t31 @t30)) % 150.52/150.80 (step @p208 :rule cong :premises (@p207) :args (@t32)) % 150.52/150.80 (step @p209 :rule trans :premises (@p208 @p206)) % 150.52/150.80 (step @p210 :rule cong :premises (@p209 @p193) :args (@t33)) % 150.52/150.80 (step @p211 :rule cong :premises (@p210) :args (@t35)) % 150.52/150.80 (step @p212 :rule trans :premises (@p211 @p177)) % 150.52/150.80 (step @p213 :rule cong :premises (@p212 @p162) :args (@t36)) % 150.52/150.80 (step @p214 :rule cong :premises (@p213) :args (@t38)) % 150.52/150.80 (step @p215 :rule trans :premises (@p214 @p64)) % 150.52/150.80 (step @p216 :rule cong :premises (@p215) :args (@t39)) % 150.52/150.80 (step @p217 :rule trans :premises (@p216 @p52 @p51 @p50)) % 150.52/150.80 (step @p218 :rule eq_resolve :premises (@p1 @p217)) % 150.52/150.80 (step @p219 :rule skolemize :premises (@p218)) % 150.52/150.80 (step @p220 :rule bool-double-not-elim :args (@t167)) % 150.52/150.80 (step @p221 :rule refl :args (@t175)) % 150.52/150.80 (step @p222 :rule nary_cong :premises (@p221 @p220) :args ((or @t175 (not @t174)))) % 150.52/150.80 (step @p223 :rule cnf_or_neg :args (@t175 0)) % 150.52/150.80 (step @p224 :rule eq_resolve :premises (@p223 @p222)) % 150.52/150.80 (step @p225 :rule reordering :premises (@p224) :args ((or @t167 @t175))) % 150.52/150.80 (step @p226 :rule chain_m_resolution :premises (@p225 @p219) :args (@t167 @t176 @t177)) % 150.52/150.80 (step @p227 :rule instantiate :premises (@p226) :args ((@list @t86 @t60 @t65))) % 150.52/150.80 (step @p228 :rule cnf_or_pos :args (@t181)) % 150.52/150.80 (step @p229 :rule reordering :premises (@p228) :args ((or @t67 @t178 @t180 (not @t181)))) % 150.52/150.80 (step @p230 :rule refl :args (@t187)) % 150.52/150.80 (step @p231 :rule bool-double-not-elim :args (@t179)) % 150.52/150.80 (step @p232 :rule nary_cong :premises (@p231 @p230) :args ((or (not @t180) @t187))) % 150.52/150.80 (assume-push @p340 @t180) % 150.52/150.80 (step @p234 :rule skolemize :premises (@p340)) % 150.52/150.80 (step-pop @p341 :rule scope :premises (@p234)) % 150.52/150.80 (step @p235 :rule process_scope :premises (@p341) :args (@t187)) % 150.52/150.80 (step @p237 :rule implies_elim :premises (@p235)) % 150.52/150.80 (step @p238 :rule eq_resolve :premises (@p237 @p232)) % 150.52/150.80 (step @p239 :rule bool-double-not-elim :args (@t184)) % 150.52/150.80 (step @p240 :rule refl :args (@t186)) % 150.52/150.80 (step @p241 :rule nary_cong :premises (@p240 @p239) :args ((or @t186 (not @t185)))) % 150.52/150.80 (step @p242 :rule cnf_or_neg :args (@t186 0)) % 150.52/150.80 (step @p243 :rule eq_resolve :premises (@p242 @p241)) % 150.52/150.80 (step @p244 :rule reordering :premises (@p243) :args ((or @t184 @t186))) % 150.52/150.80 (step @p245 :rule cnf_or_neg :args (@t186 1)) % 150.52/150.80 (step @p246 :rule cnf_or_pos :args (@t188)) % 150.52/150.80 (step @p247 :rule reordering :premises (@p246) :args ((or @t91 @t185 (not @t188)))) % 150.52/150.80 (step @p248 :rule instantiate :premises (@p15) :args ((@list @t59 @t182))) % 150.52/150.80 (step @p249 :rule bool-double-not-elim :args (@t189)) % 150.52/150.80 (step @p250 :rule refl :args (@t183)) % 150.52/150.80 (step @p251 :rule refl :args (@t192)) % 150.52/150.80 (step @p252 :rule nary_cong :premises (@p251 @p250 @p249) :args ((or @t192 @t183 (not @t190)))) % 150.52/150.80 (step @p253 :rule cnf_equiv_pos2 :args (@t191)) % 150.52/150.80 (step @p254 :rule eq_resolve :premises (@p253 @p252)) % 150.52/150.80 (step @p255 :rule reordering :premises (@p254) :args ((or @t183 @t189 @t192))) % 150.52/150.80 (assume-push @p342 @t189) % 150.52/150.80 (step @p257 :rule instantiate :premises (@p342) :args ((@list @t86))) % 150.52/150.80 (step-pop @p343 :rule scope :premises (@p257)) % 150.52/150.80 (step @p258 :rule process_scope :premises (@p343) :args (@t188)) % 150.52/150.80 (step @p260 :rule implies_elim :premises (@p258)) % 150.52/150.80 (step @p261 :rule chain_m_resolution :premises (@p260 @p255 @p248 @p247 @p245 @p244 @p238 @p229 @p227 @p45 @p43 @p38 @p33 @p27 @p18 @p16 @p9 @p8) :args (@t69 (@list false false true true false true true false false false false false true true false true false) (@list @t189 @t191 @t188 @t183 @t184 @t186 @t179 @t181 @t94 @t95 @t87 @t90 @t92 @t83 @t85 @t67 @t66))) % 150.52/150.80 (step @p262 :rule refl :args (@t193)) % 150.52/150.80 (step @p263 :rule bool-double-not-elim :args (@t64)) % 150.52/150.80 (step @p264 :rule nary_cong :premises (@p263 @p262) :args ((or (not @t194) @t193))) % 150.52/150.80 (assume-push @p344 @t194) % 150.52/150.80 (step @p266 :rule skolemize :premises (@p344)) % 150.52/150.80 (step-pop @p345 :rule scope :premises (@p266)) % 150.52/150.80 (step @p267 :rule process_scope :premises (@p345) :args (@t193)) % 150.52/150.80 (step @p269 :rule implies_elim :premises (@p267)) % 150.52/150.80 (step @p270 :rule eq_resolve :premises (@p269 @p264)) % 150.52/150.80 (step @p271 :rule chain_m_resolution :premises (@p270 @p261) :args (@t64 @t195 (@list @t69))) % 150.52/150.80 (assume-push @p346 @t64) % 150.52/150.80 (step @p273 :rule instantiate :premises (@p346) :args ((@list @t168))) % 150.52/150.80 (step-pop @p347 :rule scope :premises (@p273)) % 150.52/150.80 (step @p274 :rule process_scope :premises (@p347) :args (@t198)) % 150.52/150.80 (step @p276 :rule implies_elim :premises (@p274)) % 150.52/150.80 (step @p277 :rule chain_m_resolution :premises (@p276 @p271) :args (@t198 @t195 (@list @t64))) % 150.52/150.80 (step @p278 :rule cnf_or_neg :args (@t175 1)) % 150.52/150.80 (step @p279 :rule chain_m_resolution :premises (@p278 @p219) :args ((not @t173) @t176 @t177)) % 150.52/150.80 (step @p280 :rule bool-double-not-elim :args (@t170)) % 150.52/150.80 (step @p281 :rule refl :args (@t199)) % 150.52/150.80 (step @p282 :rule refl :args (@t173)) % 150.52/150.80 (step @p283 :rule nary_cong :premises (@p282 @p281 @p280) :args ((or @t173 @t199 (not @t171)))) % 150.52/150.80 (step @p284 :rule cnf_equiv_neg2 :args (@t173)) % 150.52/150.80 (step @p285 :rule eq_resolve :premises (@p284 @p283)) % 150.52/150.80 (step @p286 :rule reordering :premises (@p285) :args ((or @t170 @t173 @t199))) % 150.52/150.80 (step @p287 :rule bool-double-not-elim :args (@t203)) % 150.52/150.80 (step @p288 :rule refl :args (@t206)) % 150.52/150.80 (step @p289 :rule nary_cong :premises (@p288 @p287) :args ((or @t206 (not @t205)))) % 150.52/150.80 (step @p290 :rule cnf_or_neg :args (@t206 0)) % 150.52/150.80 (step @p291 :rule eq_resolve :premises (@p290 @p289)) % 150.52/150.80 (step @p292 :rule reordering :premises (@p291) :args ((or @t203 @t206))) % 150.52/150.80 (step @p293 :rule cnf_or_neg :args (@t206 1)) % 150.52/150.80 (step @p294 :rule instantiate :premises (@p226) :args ((@list @t60 @t61 @t202))) % 150.52/150.80 (step @p295 :rule cnf_or_pos :args (@t207)) % 150.52/150.80 (step @p296 :rule reordering :premises (@p295) :args ((or @t205 @t204 @t194 (not @t207)))) % 150.52/150.80 (step @p297 :rule chain_m_resolution :premises (@p296 @p294 @p271 @p293 @p292) :args (@t206 (@list false false true false) (@list @t207 @t64 @t204 @t203))) % 150.52/150.80 (step @p298 :rule refl :args (@t208)) % 150.52/150.80 (step @p299 :rule bool-double-not-elim :args (@t201)) % 150.52/150.80 (step @p300 :rule nary_cong :premises (@p299 @p298) :args ((or (not @t209) @t208))) % 150.52/150.80 (assume-push @p348 @t209) % 150.52/150.80 (step @p302 :rule skolemize :premises (@p348)) % 150.52/150.80 (step-pop @p349 :rule scope :premises (@p302)) % 150.52/150.80 (step @p303 :rule process_scope :premises (@p349) :args (@t208)) % 150.52/150.80 (step @p305 :rule implies_elim :premises (@p303)) % 150.52/150.80 (step @p306 :rule eq_resolve :premises (@p305 @p300)) % 150.52/150.80 (step @p307 :rule chain_m_resolution :premises (@p306 @p297) :args (@t201 @t195 (@list @t206))) % 150.52/150.80 (step @p308 :rule cnf_or_pos :args (@t210)) % 150.52/150.80 (step @p309 :rule reordering :premises (@p308) :args ((or @t199 @t209 (not @t210)))) % 150.52/150.80 (assume-push @p350 @t170) % 150.52/150.80 (step @p311 :rule instantiate :premises (@p350) :args ((@list @t61))) % 150.52/150.80 (step-pop @p351 :rule scope :premises (@p311)) % 150.52/150.80 (step @p312 :rule process_scope :premises (@p351) :args (@t210)) % 150.52/150.80 (step @p314 :rule implies_elim :premises (@p312)) % 150.52/150.80 (step @p315 :rule chain_m_resolution :premises (@p314 @p309 @p307 @p286 @p279) :args (@t199 (@list true false false true) (@list @t210 @t201 @t170 @t173))) % 150.52/150.80 (step @p316 :rule cnf_or_pos :args (@t198)) % 150.52/150.80 (step @p317 :rule reordering :premises (@p316) :args ((or @t172 @t197 (not @t198)))) % 150.52/150.80 (step @p318 :rule chain_m_resolution :premises (@p317 @p315 @p277) :args (@t197 (@list true false) (@list @t172 @t198))) % 150.52/150.80 (step @p319 :rule cnf_equiv_neg1 :args (@t173)) % 150.52/150.80 (step @p320 :rule reordering :premises (@p319) :args ((or @t172 @t171 @t173))) % 150.52/150.80 (step @p321 :rule chain_m_resolution :premises (@p320 @p315 @p279) :args (@t171 (@list true true) (@list @t172 @t173))) % 150.52/150.80 (step @p322 :rule alpha_equiv :args ((forall (@list @t211) (or (not (forall (@list @t212) (or (not (_ @t42 @t211 @t212)) (_ @t42 (_ @t44 @t59 @t211) @t212)))) (not (_ @t42 @t211 @t168)))) @t213 (@list @t41 @t14))) % 150.52/150.80 (step @p323 :rule alpha_equiv :args (@t170 (@list @t41 @t4) @t213)) % 150.52/150.80 (step @p324 :rule trans :premises (@p323 @p322)) % 150.52/150.80 (step @p325 :rule equiv_elim2 :premises (@p324)) % 150.52/150.80 (step @p326 :rule chain_m_resolution :premises (@p325 @p321) :args (@t215 @t176 (@list @t170))) % 150.52/150.80 (step @p327 :rule instantiate :premises (@p15) :args ((@list @t59 @t168))) % 150.52/150.80 (step @p328 :rule bool-double-not-elim :args (@t214)) % 150.52/150.80 (step @p329 :rule refl :args (@t196)) % 150.52/150.80 (step @p330 :rule refl :args (@t217)) % 150.52/150.80 (step @p331 :rule nary_cong :premises (@p330 @p329 @p328) :args ((or @t217 @t196 (not @t215)))) % 150.52/150.80 (step @p332 :rule cnf_equiv_pos2 :args (@t216)) % 150.52/150.80 (step @p333 :rule eq_resolve :premises (@p332 @p331)) % 150.52/150.80 (step @p334 :rule reordering :premises (@p333) :args ((or @t196 @t214 @t217))) % 150.52/150.80 (step @p335 false :rule chain_m_resolution :premises (@p334 @p327 @p326 @p318) :args (false (@list false true true) (@list @t216 @t214 @t196))) % 150.52/150.80 ) % 150.52/150.80 % SZS output end Proof % 150.52/150.80 % cvc5 exiting %------------------------------------------------------------------------------