%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV252^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:55:41 AM UTC 2026 % Result : Theorem 150.55s 150.88s % Output : Proof 150.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV252^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n019.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 18:22:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 150.55/150.88 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.55/150.88 --- 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... % 150.55/150.88 --- 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... % 150.55/150.88 --- Run --ho-elim --full-saturate-quant at 18s... % 150.55/150.88 % SZS status Theorem % 150.55/150.88 % SZS output start Proof % 150.55/150.88 ( % 150.55/150.88 (declare-sort $$unsorted 0) % 150.55/150.88 (define @t1 () (@var "Xx" $$unsorted)) % 150.55/150.88 (define @t2 () (@var "S" (-> $$unsorted Bool))) % 150.55/150.88 (define @t3 () (_ @t2 @t1)) % 150.55/150.88 (define @t4 () (@var "Xx0" $$unsorted)) % 150.55/150.88 (define @t5 () (@var "K" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 150.55/150.88 (define @t6 () (_ @t5 @t2)) % 150.55/150.88 (define @t7 () (_ @t6 @t4)) % 150.55/150.88 (define @t8 () (_ @t2 @t4)) % 150.55/150.88 (define @t9 () (@list @t4)) % 150.55/150.88 (define @t10 () (forall @t9 (=> @t8 @t7))) % 150.55/150.88 (define @t11 () (and @t10 @t3)) % 150.55/150.88 (define @t12 () (@list @t2)) % 150.55/150.88 (define @t13 () (exists @t12 @t11)) % 150.55/150.88 (define @t14 () (@var "Xx1" $$unsorted)) % 150.55/150.88 (define @t15 () (_ @t6 @t14)) % 150.55/150.88 (define @t16 () (_ @t2 @t14)) % 150.55/150.88 (define @t17 () (@list @t14)) % 150.55/150.88 (define @t18 () (forall @t17 (=> @t16 @t15))) % 150.55/150.88 (define @t19 () (and @t18 @t8)) % 150.55/150.88 (define @t20 () (exists @t12 @t19)) % 150.55/150.88 (define @t21 () (lambda @t9 @t20)) % 150.55/150.88 (define @t22 () (= (_ (_ @t5 @t21) @t1) @t13)) % 150.55/150.88 (define @t23 () (@list @t1)) % 150.55/150.88 (define @t24 () (forall @t23 @t22)) % 150.55/150.88 (define @t25 () (@var "Xy" (-> $$unsorted Bool))) % 150.55/150.88 (define @t26 () (_ (_ @t5 @t25) @t4)) % 150.55/150.88 (define @t27 () (@var "Xx" (-> $$unsorted Bool))) % 150.55/150.88 (define @t28 () (_ (_ @t5 @t27) @t4)) % 150.55/150.88 (define @t29 () (forall @t9 (=> @t28 @t26))) % 150.55/150.88 (define @t30 () (_ @t25 @t4)) % 150.55/150.88 (define @t31 () (_ @t27 @t4)) % 150.55/150.88 (define @t32 () (forall @t9 (=> @t31 @t30))) % 150.55/150.88 (define @t33 () (=> @t32 @t29)) % 150.55/150.88 (define @t34 () (@list @t27 @t25)) % 150.55/150.88 (define @t35 () (forall @t34 @t33)) % 150.55/150.88 (define @t36 () (and @t35 @t35)) % 150.55/150.88 (define @t37 () (=> @t36 @t24)) % 150.55/150.88 (define @t38 () (@list @t5)) % 150.55/150.88 (define @t39 () (forall @t38 @t37)) % 150.55/150.88 (define @t40 () (not @t39)) % 150.55/150.88 (define @t41 () (@var "BOUND_VARIABLE_7545" $$unsorted)) % 150.55/150.88 (define @t42 () (@var "BOUND_VARIABLE_7615" (@ho-elim-sort (-> $$unsorted Bool)))) % 150.55/150.88 (define @t43 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 150.55/150.88 (define @t44 () (@var "BOUND_VARIABLE_7602" (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)))) % 150.55/150.88 (define @t45 () (@const 1 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)) (@ho-elim-sort (-> $$unsorted Bool)) (@ho-elim-sort (-> $$unsorted Bool))))) % 150.55/150.88 (define @t46 () (not (_ @t43 @t42 @t4))) % 150.55/150.88 (define @t47 () (@list @t42)) % 150.55/150.88 (define @t48 () (not (forall @t47 (or (not (forall @t9 (or @t46 (_ @t43 (_ @t45 @t44 @t42) @t4)))) (not (_ @t43 @t42 @t41)))))) % 150.55/150.88 (define @t49 () (@const 2 (@ho-elim-sort (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)) $$unsorted Bool)))) % 150.55/150.88 (define @t50 () (@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))))) % 150.55/150.88 (define @t51 () (_ @t43 (_ @t45 @t44 (_ @t50 @t49 @t44)) @t41)) % 150.55/150.88 (define @t52 () (@var "BOUND_VARIABLE_7478" $$unsorted)) % 150.55/150.88 (define @t53 () (@var "BOUND_VARIABLE_7631" (@ho-elim-sort (-> $$unsorted Bool)))) % 150.55/150.88 (define @t54 () (@var "BOUND_VARIABLE_7635" (@ho-elim-sort (-> $$unsorted Bool)))) % 150.55/150.88 (define @t55 () (not (forall @t9 (or (not (_ @t43 @t54 @t4)) (_ @t43 @t53 @t4))))) % 150.55/150.88 (define @t56 () (@list @t54 @t53 @t52)) % 150.55/150.88 (define @t57 () (not (forall @t56 (or @t55 (not (_ @t43 (_ @t45 @t44 @t54) @t52)) (_ @t43 (_ @t45 @t44 @t53) @t52))))) % 150.55/150.88 (define @t58 () (@list @t44 @t41)) % 150.55/150.88 (define @t59 () (forall @t58 (or @t57 (= @t51 @t48)))) % 150.55/150.88 (define @t60 () (@quantifiers_skolemize @t59 0)) % 150.55/150.88 (define @t61 () (_ @t50 @t49 @t60)) % 150.55/150.88 (define @t62 () (_ @t45 @t60 @t61)) % 150.55/150.88 (define @t63 () (_ @t43 @t62 @t4)) % 150.55/150.88 (define @t64 () (_ @t43 @t61 @t4)) % 150.55/150.88 (define @t65 () (forall @t9 (or (not @t64) @t63))) % 150.55/150.88 (define @t66 () (@quantifiers_skolemize @t65 0)) % 150.55/150.88 (define @t67 () (_ @t43 @t61 @t66)) % 150.55/150.88 (define @t68 () (_ @t43 @t62 @t66)) % 150.55/150.88 (define @t69 () (not @t67)) % 150.55/150.88 (define @t70 () (or @t69 @t68)) % 150.55/150.88 (define @t71 () (@var "BOUND_VARIABLE_7580" $$unsorted)) % 150.55/150.88 (define @t72 () (@var "BOUND_VARIABLE_7662" (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)))) % 150.55/150.88 (define @t73 () (not (_ @t43 @t42 @t14))) % 150.55/150.88 (define @t74 () (not (forall @t47 (or (not (forall @t17 (or @t73 (_ @t43 (_ @t45 @t72 @t42) @t14)))) (not (_ @t43 @t42 @t71)))))) % 150.55/150.88 (define @t75 () (_ @t43 (_ @t50 @t49 @t72) @t71)) % 150.55/150.88 (define @t76 () (forall (@list @t72 @t71) (= @t74 @t75))) % 150.55/150.88 (define @t77 () (@var "BOUND_VARIABLE_7579" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 150.55/150.88 (define @t78 () (@const 4 (-> (-> (-> $$unsorted Bool) $$unsorted Bool) $$unsorted Bool))) % 150.55/150.88 (define @t79 () (_ @t2 @t14)) % 150.55/150.88 (define @t80 () (not @t79)) % 150.55/150.88 (define @t81 () (forall (@list @t77 @t71) (= (not (forall @t12 (or (not (forall @t17 (or @t80 (_ @t77 @t2 @t14)))) (not (_ @t2 @t71))))) (_ @t78 @t77 @t71)))) % 150.55/150.88 (define @t82 () (_ @t45 @t60 @t42)) % 150.55/150.88 (define @t83 () (not (forall @t17 (or @t73 (_ @t43 @t82 @t14))))) % 150.55/150.88 (define @t84 () (forall @t47 (or @t83 (not (_ @t43 @t42 @t66))))) % 150.55/150.88 (define @t85 () (not @t84)) % 150.55/150.88 (define @t86 () (= @t67 @t85)) % 150.55/150.88 (define @t87 () (@quantifiers_skolemize @t84 0)) % 150.55/150.88 (define @t88 () (_ @t43 @t87 @t66)) % 150.55/150.88 (define @t89 () (not @t88)) % 150.55/150.88 (define @t90 () (_ @t45 @t60 @t87)) % 150.55/150.88 (define @t91 () (forall @t17 (or (not (_ @t43 @t87 @t14)) (_ @t43 @t90 @t14)))) % 150.55/150.88 (define @t92 () (not @t91)) % 150.55/150.88 (define @t93 () (or @t92 @t89)) % 150.55/150.88 (define @t94 () (not @t93)) % 150.55/150.88 (define @t95 () (_ @t43 @t90 @t66)) % 150.55/150.88 (define @t96 () (or @t89 @t95)) % 150.55/150.88 (define @t97 () (or @t57 (= @t48 @t51))) % 150.55/150.88 (define @t98 () (forall @t58 @t97)) % 150.55/150.88 (define @t99 () (not @t98)) % 150.55/150.88 (define @t100 () (_ @t5 @t2 @t4)) % 150.55/150.88 (define @t101 () (_ @t2 @t4)) % 150.55/150.88 (define @t102 () (not @t101)) % 150.55/150.88 (define @t103 () (forall @t9 (or @t102 @t100))) % 150.55/150.88 (define @t104 () (not @t103)) % 150.55/150.88 (define @t105 () (not (forall @t12 (or @t104 (not (_ @t2 @t41)))))) % 150.55/150.88 (define @t106 () (_ @t5 @t25 @t52)) % 150.55/150.88 (define @t107 () (not (_ @t5 @t27 @t52))) % 150.55/150.88 (define @t108 () (_ @t25 @t4)) % 150.55/150.88 (define @t109 () (_ @t27 @t4)) % 150.55/150.88 (define @t110 () (forall @t9 (or (not @t109) @t108))) % 150.55/150.88 (define @t111 () (not @t110)) % 150.55/150.88 (define @t112 () (or @t111 @t107 @t106)) % 150.55/150.88 (define @t113 () (@list @t27 @t25 @t52)) % 150.55/150.88 (define @t114 () (forall @t113 @t112)) % 150.55/150.88 (define @t115 () (not @t114)) % 150.55/150.88 (define @t116 () (@list @t5 @t41)) % 150.55/150.88 (define @t117 () (not (forall @t116 (or @t115 (= @t105 (_ @t5 (_ @t78 @t5) @t41)))))) % 150.55/150.88 (define @t118 () (_ @t5 @t2 @t14)) % 150.55/150.88 (define @t119 () (or @t80 @t118)) % 150.55/150.88 (define @t120 () (forall @t17 @t119)) % 150.55/150.88 (define @t121 () (not @t120)) % 150.55/150.88 (define @t122 () (or @t121 @t102)) % 150.55/150.88 (define @t123 () (forall @t12 @t122)) % 150.55/150.88 (define @t124 () (not @t123)) % 150.55/150.88 (define @t125 () (lambda @t9 @t124)) % 150.55/150.88 (define @t126 () (= @t105 (_ @t5 @t125 @t41))) % 150.55/150.88 (define @t127 () (or @t115 @t126)) % 150.55/150.88 (define @t128 () (forall @t116 @t127)) % 150.55/150.88 (define @t129 () (@list @t41)) % 150.55/150.88 (define @t130 () (forall @t129 @t127)) % 150.55/150.88 (define @t131 () (forall @t129 @t126)) % 150.55/150.88 (define @t132 () (or @t115 @t131)) % 150.55/150.88 (define @t133 () (_ @t5 @t125 @t1)) % 150.55/150.88 (define @t134 () (_ @t2 @t1)) % 150.55/150.88 (define @t135 () (not (forall @t12 (or @t104 (not @t134))))) % 150.55/150.88 (define @t136 () (forall @t23 (= @t135 @t133))) % 150.55/150.88 (define @t137 () (not @t8)) % 150.55/150.88 (define @t138 () (not @t16)) % 150.55/150.88 (define @t139 () (or @t138 @t15)) % 150.55/150.88 (define @t140 () (forall @t17 @t139)) % 150.55/150.88 (define @t141 () (lambda @t9 (not (forall @t12 (or (not @t140) @t137))))) % 150.55/150.88 (define @t142 () (_ (_ @t5 @t125) @t1)) % 150.55/150.88 (define @t143 () (= @t142 @t135)) % 150.55/150.88 (define @t144 () (not @t3)) % 150.55/150.88 (define @t145 () (or @t104 @t144)) % 150.55/150.88 (define @t146 () (and @t103 @t3)) % 150.55/150.88 (define @t147 () (forall @t12 (not @t146))) % 150.55/150.88 (define @t148 () (not @t147)) % 150.55/150.88 (define @t149 () (or @t137 @t7)) % 150.55/150.88 (define @t150 () (or @t121 @t137)) % 150.55/150.88 (define @t151 () (and @t120 @t8)) % 150.55/150.88 (define @t152 () (forall @t12 (not @t151))) % 150.55/150.88 (define @t153 () (not @t152)) % 150.55/150.88 (define @t154 () (or @t107 @t106)) % 150.55/150.88 (define @t155 () (or @t111 @t154)) % 150.55/150.88 (define @t156 () (forall @t113 @t155)) % 150.55/150.88 (define @t157 () (@list @t52)) % 150.55/150.88 (define @t158 () (forall @t157 @t155)) % 150.55/150.88 (define @t159 () (forall @t157 @t154)) % 150.55/150.88 (define @t160 () (or @t111 @t159)) % 150.55/150.88 (define @t161 () (_ @t5 @t25 @t4)) % 150.55/150.88 (define @t162 () (_ @t5 @t27 @t4)) % 150.55/150.88 (define @t163 () (forall @t9 (or (not @t162) @t161))) % 150.55/150.88 (define @t164 () (not @t28)) % 150.55/150.88 (define @t165 () (or @t164 @t26)) % 150.55/150.88 (define @t166 () (not @t31)) % 150.55/150.88 (define @t167 () (or @t166 @t30)) % 150.55/150.88 (define @t168 () (forall @t56 (or @t55 (not (_ @t43 (_ @t45 @t60 @t54) @t52)) (_ @t43 (_ @t45 @t60 @t53) @t52)))) % 150.55/150.88 (define @t169 () (@quantifiers_skolemize @t59 1)) % 150.55/150.88 (define @t170 () (not (_ @t43 @t42 @t169))) % 150.55/150.88 (define @t171 () (forall @t47 (or (not (forall @t9 (or @t46 (_ @t43 @t82 @t4)))) @t170))) % 150.55/150.88 (define @t172 () (not @t171)) % 150.55/150.88 (define @t173 () (_ @t43 @t62 @t169)) % 150.55/150.88 (define @t174 () (= @t173 @t172)) % 150.55/150.88 (define @t175 () (not @t168)) % 150.55/150.88 (define @t176 () (or @t175 @t174)) % 150.55/150.88 (define @t177 () (@list true)) % 150.55/150.88 (define @t178 () (@list @t176)) % 150.55/150.88 (define @t179 () (not @t95)) % 150.55/150.88 (define @t180 () (forall @t9 (or (not (_ @t43 @t87 @t4)) @t64))) % 150.55/150.88 (define @t181 () (not @t180)) % 150.55/150.88 (define @t182 () (or @t181 @t179 @t68)) % 150.55/150.88 (define @t183 () (@quantifiers_skolemize @t180 0)) % 150.55/150.88 (define @t184 () (_ @t43 @t61 @t183)) % 150.55/150.88 (define @t185 () (_ @t43 @t87 @t183)) % 150.55/150.88 (define @t186 () (not @t185)) % 150.55/150.88 (define @t187 () (or @t186 @t184)) % 150.55/150.88 (define @t188 () (not @t187)) % 150.55/150.88 (define @t189 () (or @t92 @t186)) % 150.55/150.88 (define @t190 () (forall @t47 (or @t83 (not (_ @t43 @t42 @t183))))) % 150.55/150.88 (define @t191 () (not @t190)) % 150.55/150.88 (define @t192 () (= @t184 @t191)) % 150.55/150.88 (define @t193 () (not @t192)) % 150.55/150.88 (define @t194 () (not @t70)) % 150.55/150.88 (define @t195 () (not @t65)) % 150.55/150.88 (define @t196 () (@list false)) % 150.55/150.88 (define @t197 () (_ @t43 @t61 @t169)) % 150.55/150.88 (define @t198 () (not @t197)) % 150.55/150.88 (define @t199 () (or @t198 @t173)) % 150.55/150.88 (define @t200 () (not @t173)) % 150.55/150.88 (define @t201 () (_ @t45 @t60 @t62)) % 150.55/150.88 (define @t202 () (forall @t9 (or (not @t63) (_ @t43 @t201 @t4)))) % 150.55/150.88 (define @t203 () (@quantifiers_skolemize @t202 0)) % 150.55/150.88 (define @t204 () (_ @t43 @t62 @t203)) % 150.55/150.88 (define @t205 () (_ @t43 @t201 @t203)) % 150.55/150.88 (define @t206 () (not @t204)) % 150.55/150.88 (define @t207 () (or @t206 @t205)) % 150.55/150.88 (define @t208 () (or @t195 @t206 @t205)) % 150.55/150.88 (define @t209 () (not @t207)) % 150.55/150.88 (define @t210 () (not @t202)) % 150.55/150.88 (define @t211 () (or @t210 @t200)) % 150.55/150.88 (define @t212 () (@var "BOUND_VARIABLE_11042" (@ho-elim-sort (-> $$unsorted Bool)))) % 150.55/150.88 (define @t213 () (@var "BOUND_VARIABLE_11043" $$unsorted)) % 150.55/150.88 (define @t214 () (@list @t212 @t213)) % 150.55/150.88 (define @t215 () (forall @t47 (or @t83 @t170))) % 150.55/150.88 (define @t216 () (not @t215)) % 150.55/150.88 (define @t217 () (= @t197 @t216)) % 150.55/150.88 (define @t218 () (not @t217)) % 150.55/150.88 (assume @p1 @t40) % 150.55/150.88 (assume @p2 true) % 150.55/150.88 (step @p3 :rule bool-double-not-elim :args (@t67)) % 150.55/150.88 (step @p4 :rule refl :args (@t70)) % 150.55/150.88 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t70 (not @t69)))) % 150.55/150.88 (step @p6 :rule cnf_or_neg :args (@t70 0)) % 150.55/150.88 (step @p7 :rule eq_resolve :premises (@p6 @p5)) % 150.55/150.88 (step @p8 :rule reordering :premises (@p7) :args ((or @t67 @t70))) % 150.55/150.88 (step @p9 :rule cnf_or_neg :args (@t70 1)) % 150.55/150.88 (step @p10 :rule eq-symm :args (@t74 @t75)) % 150.55/150.88 (step @p11 :rule cong :premises (@p10) :args (@t76)) % 150.55/150.88 ; WARNING: add trust step for TRUST % 150.55/150.88 ; trust TRUST PREPROCESS_HO_ELIM % 150.55/150.88 (step @p12 :rule trust :premises () :args ((= @t81 @t76))) % 150.55/150.88 (step @p13 :rule trans :premises (@p12 @p11)) % 150.55/150.88 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 150.55/150.88 (step @p14 :rule trust :premises () :args (@t81)) % 150.55/150.88 (step @p15 :rule eq_resolve :premises (@p14 @p13)) % 150.55/150.88 (step @p16 :rule instantiate :premises (@p15) :args ((@list @t60 @t66))) % 150.55/150.88 (step @p17 :rule cnf_equiv_pos1 :args (@t86)) % 150.55/150.88 (step @p18 :rule reordering :premises (@p17) :args ((or @t69 @t85 (not @t86)))) % 150.55/150.88 (step @p19 :rule refl :args (@t94)) % 150.55/150.88 (step @p20 :rule bool-double-not-elim :args (@t84)) % 150.55/150.88 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or (not @t85) @t94))) % 150.55/150.88 (assume-push @p338 @t85) % 150.55/150.88 (step @p23 :rule skolemize :premises (@p338)) % 150.55/150.88 (step-pop @p339 :rule scope :premises (@p23)) % 150.55/150.88 (step @p24 :rule process_scope :premises (@p339) :args (@t94)) % 150.55/150.88 (step @p26 :rule implies_elim :premises (@p24)) % 150.55/150.88 (step @p27 :rule eq_resolve :premises (@p26 @p21)) % 150.55/150.88 (step @p28 :rule bool-double-not-elim :args (@t91)) % 150.55/150.88 (step @p29 :rule refl :args (@t93)) % 150.55/150.88 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t93 (not @t92)))) % 150.55/150.88 (step @p31 :rule cnf_or_neg :args (@t93 0)) % 150.55/150.88 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 150.55/150.88 (step @p33 :rule reordering :premises (@p32) :args ((or @t91 @t93))) % 150.55/150.88 (step @p34 :rule bool-double-not-elim :args (@t88)) % 150.55/150.88 (step @p35 :rule nary_cong :premises (@p29 @p34) :args ((or @t93 (not @t89)))) % 150.55/150.88 (step @p36 :rule cnf_or_neg :args (@t93 1)) % 150.55/150.88 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 150.55/150.88 (step @p38 :rule reordering :premises (@p37) :args ((or @t88 @t93))) % 150.55/150.88 (assume-push @p340 @t91) % 150.55/150.88 (step @p40 :rule instantiate :premises (@p340) :args ((@list @t66))) % 150.55/150.88 (step-pop @p341 :rule scope :premises (@p40)) % 150.55/150.88 (step @p41 :rule process_scope :premises (@p341) :args (@t96)) % 150.55/150.88 (step @p43 :rule implies_elim :premises (@p41)) % 150.55/150.88 (step @p44 :rule cnf_or_pos :args (@t96)) % 150.55/150.88 (step @p45 :rule reordering :premises (@p44) :args ((or @t89 @t95 (not @t96)))) % 150.55/150.88 (step @p46 :rule eq-symm :args (@t48 @t51)) % 150.55/150.88 (step @p47 :rule refl :args (@t57)) % 150.55/150.88 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t97)) % 150.55/150.88 (step @p49 :rule cong :premises (@p48) :args (@t98)) % 150.55/150.88 (step @p50 :rule cong :premises (@p49) :args (@t99)) % 150.55/150.88 ; trust TRUST PREPROCESS_HO_ELIM % 150.55/150.88 (step @p51 :rule trust :premises () :args ((= @t117 @t99))) % 150.55/150.88 ; trust TRUST PREPROCESS_HO_ELIM % 150.55/150.88 (step @p52 :rule trust :premises () :args ((= (not @t128) @t117))) % 150.55/150.88 (step @p53 :rule quant-merge-prenex :args ((= (forall @t38 @t130) @t128))) % 150.55/150.88 (step @p54 :rule alpha_equiv :args (@t131 (@list @t41) (@list @t1))) % 150.55/150.88 (step @p55 :rule refl :args (@t115)) % 150.55/150.88 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t132)) % 150.55/150.88 (step @p57 :rule quant-miniscope-or :args ((= @t130 @t132))) % 150.55/150.88 (step @p58 :rule trans :premises (@p57 @p56)) % 150.55/150.88 (step @p59 :rule symm :premises (@p58)) % 150.55/150.88 (step @p60 :rule cong :premises (@p59) :args ((forall @t38 (or @t115 @t136)))) % 150.55/150.88 (step @p61 :rule trans :premises (@p60 @p53)) % 150.55/150.88 (step @p62 :rule bool-impl-elim :args (@t114 @t136)) % 150.55/150.88 (step @p63 :rule cong :premises (@p62) :args ((forall @t38 (=> @t114 @t136)))) % 150.55/150.88 (step @p64 :rule trans :premises (@p63 @p61)) % 150.55/150.88 (step @p65 :rule eq-symm :args (@t133 @t135)) % 150.55/150.88 (step @p66 :rule cong :premises (@p65) :args ((forall @t23 (= @t133 @t135)))) % 150.55/150.88 (step @p67 :rule refl :args (@t135)) % 150.55/150.88 (step @p68 :rule refl :args ((_ @t5 @t141 @t1))) % 150.55/150.88 (step @p69 :rule refl :args (@t1)) % 150.55/150.88 (step @p70 :rule refl :args (@t101)) % 150.55/150.88 (step @p71 :rule cong :premises (@p70) :args (@t102)) % 150.55/150.88 (step @p72 :rule refl :args (@t118)) % 150.55/150.88 (step @p73 :rule refl :args (@t79)) % 150.55/150.88 (step @p74 :rule cong :premises (@p73) :args (@t80)) % 150.55/150.88 (step @p75 :rule nary_cong :premises (@p74 @p72) :args (@t119)) % 150.55/150.88 (step @p76 :rule cong :premises (@p75) :args (@t120)) % 150.55/150.88 (step @p77 :rule cong :premises (@p76) :args (@t121)) % 150.55/150.88 (step @p78 :rule nary_cong :premises (@p77 @p71) :args (@t122)) % 150.55/150.88 (step @p79 :rule cong :premises (@p78) :args (@t123)) % 150.55/150.88 (step @p80 :rule cong :premises (@p79) :args (@t124)) % 150.55/150.88 (step @p81 :rule cong :premises (@p80) :args (@t125)) % 150.55/150.88 (step @p82 :rule cong :premises (@p81 @p69) :args (@t133)) % 150.55/150.88 (step @p83 :rule trans :premises (@p82 @p68)) % 150.55/150.88 (step @p84 :rule refl :args (@t5)) % 150.55/150.88 (step @p85 :rule ho_cong :premises (@p84 @p81)) % 150.55/150.88 (step @p86 :rule ho_cong :premises (@p85 @p69)) % 150.55/150.88 (step @p87 :rule cong :premises (@p86 @p83) :args ((= @t142 @t133))) % 150.55/150.88 (step @p88 :rule symm :premises (@p87)) % 150.55/150.88 (step @p89 :rule refl :args ((_ (_ @t5 @t141) @t1))) % 150.55/150.88 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 150.55/150.88 (step @p91 :rule cong :premises (@p90 @p67) :args (@t143)) % 150.55/150.88 (step @p92 :rule cong :premises (@p91) :args ((forall @t23 @t143))) % 150.55/150.88 (step @p93 :rule trans :premises (@p92 @p66)) % 150.55/150.88 (step @p94 :rule refl :args (@t134)) % 150.55/150.88 (step @p95 :rule refl :args (@t3)) % 150.55/150.88 (step @p96 :rule cong :premises (@p95 @p94) :args ((= @t3 @t134))) % 150.55/150.88 (step @p97 :rule symm :premises (@p96)) % 150.55/150.88 (step @p98 :rule eq_resolve :premises (@p95 @p97)) % 150.55/150.88 (step @p99 :rule cong :premises (@p98) :args (@t144)) % 150.55/150.88 (step @p100 :rule refl :args (@t104)) % 150.55/150.88 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t145)) % 150.55/150.88 (step @p102 :rule cong :premises (@p101) :args ((forall @t12 @t145))) % 150.55/150.88 (step @p103 :rule bool-and-de-morgan :args (@t103 @t3 true)) % 150.55/150.88 (step @p104 :rule cong :premises (@p103) :args (@t147)) % 150.55/150.88 (step @p105 :rule trans :premises (@p104 @p102)) % 150.55/150.88 (step @p106 :rule cong :premises (@p105) :args (@t148)) % 150.55/150.88 (step @p107 :rule exists-elim :args ((= (exists @t12 @t146) @t148))) % 150.55/150.88 (step @p108 :rule trans :premises (@p107 @p106)) % 150.55/150.88 (step @p109 :rule refl :args (@t3)) % 150.55/150.88 (step @p110 :rule refl :args (@t100)) % 150.55/150.88 (step @p111 :rule refl :args (@t7)) % 150.55/150.88 (step @p112 :rule cong :premises (@p111 @p110) :args ((= @t7 @t100))) % 150.55/150.88 (step @p113 :rule symm :premises (@p112)) % 150.55/150.88 (step @p114 :rule eq_resolve :premises (@p111 @p113)) % 150.55/150.88 (step @p115 :rule refl :args (@t8)) % 150.55/150.88 (step @p116 :rule cong :premises (@p115 @p70) :args ((= @t8 @t101))) % 150.55/150.88 (step @p117 :rule symm :premises (@p116)) % 150.55/150.88 (step @p118 :rule eq_resolve :premises (@p115 @p117)) % 150.55/150.88 (step @p119 :rule cong :premises (@p118) :args (@t137)) % 150.55/150.88 (step @p120 :rule nary_cong :premises (@p119 @p114) :args (@t149)) % 150.55/150.88 (step @p121 :rule cong :premises (@p120) :args ((forall @t9 @t149))) % 150.55/150.88 (step @p122 :rule bool-impl-elim :args (@t8 @t7)) % 150.55/150.88 (step @p123 :rule cong :premises (@p122) :args (@t10)) % 150.55/150.88 (step @p124 :rule trans :premises (@p123 @p121)) % 150.55/150.88 (step @p125 :rule nary_cong :premises (@p124 @p109) :args (@t11)) % 150.55/150.88 (step @p126 :rule cong :premises (@p125) :args (@t13)) % 150.55/150.88 (step @p127 :rule trans :premises (@p126 @p108)) % 150.55/150.88 (step @p128 :rule refl :args (@t1)) % 150.55/150.88 (step @p129 :rule refl :args (@t121)) % 150.55/150.88 (step @p130 :rule nary_cong :premises (@p129 @p119) :args (@t150)) % 150.55/150.88 (step @p131 :rule cong :premises (@p130) :args ((forall @t12 @t150))) % 150.55/150.88 (step @p132 :rule bool-and-de-morgan :args (@t120 @t8 true)) % 150.55/150.88 (step @p133 :rule cong :premises (@p132) :args (@t152)) % 150.55/150.88 (step @p134 :rule trans :premises (@p133 @p131)) % 150.55/150.88 (step @p135 :rule cong :premises (@p134) :args (@t153)) % 150.55/150.88 (step @p136 :rule exists-elim :args ((= (exists @t12 @t151) @t153))) % 150.55/150.88 (step @p137 :rule trans :premises (@p136 @p135)) % 150.55/150.88 (step @p138 :rule refl :args (@t8)) % 150.55/150.88 (step @p139 :rule refl :args (@t15)) % 150.55/150.88 (step @p140 :rule cong :premises (@p139 @p72) :args ((= @t15 @t118))) % 150.55/150.88 (step @p141 :rule symm :premises (@p140)) % 150.55/150.88 (step @p142 :rule eq_resolve :premises (@p139 @p141)) % 150.55/150.88 (step @p143 :rule refl :args (@t16)) % 150.55/150.88 (step @p144 :rule cong :premises (@p143 @p73) :args ((= @t16 @t79))) % 150.55/150.88 (step @p145 :rule symm :premises (@p144)) % 150.55/150.88 (step @p146 :rule eq_resolve :premises (@p143 @p145)) % 150.55/150.88 (step @p147 :rule cong :premises (@p146) :args (@t138)) % 150.55/150.88 (step @p148 :rule nary_cong :premises (@p147 @p142) :args (@t139)) % 150.55/150.88 (step @p149 :rule cong :premises (@p148) :args (@t140)) % 150.55/150.88 (step @p150 :rule bool-impl-elim :args (@t16 @t15)) % 150.55/150.88 (step @p151 :rule cong :premises (@p150) :args (@t18)) % 150.55/150.88 (step @p152 :rule trans :premises (@p151 @p149)) % 150.55/150.88 (step @p153 :rule nary_cong :premises (@p152 @p138) :args (@t19)) % 150.55/150.88 (step @p154 :rule cong :premises (@p153) :args (@t20)) % 150.55/150.88 (step @p155 :rule trans :premises (@p154 @p137)) % 150.55/150.88 (step @p156 :rule cong :premises (@p155) :args (@t21)) % 150.55/150.88 (step @p157 :rule refl :args (@t5)) % 150.55/150.88 (step @p158 :rule ho_cong :premises (@p157 @p156)) % 150.55/150.88 (step @p159 :rule ho_cong :premises (@p158 @p128)) % 150.55/150.88 (step @p160 :rule cong :premises (@p159 @p127) :args (@t22)) % 150.55/150.88 (step @p161 :rule cong :premises (@p160) :args (@t24)) % 150.55/150.88 (step @p162 :rule trans :premises (@p161 @p93)) % 150.55/150.88 (step @p163 :rule aci_norm :args ((= @t155 @t112))) % 150.55/150.88 (step @p164 :rule cong :premises (@p163) :args (@t156)) % 150.55/150.88 (step @p165 :rule quant-merge-prenex :args ((= (forall @t34 @t158) @t156))) % 150.55/150.88 (step @p166 :rule alpha_equiv :args (@t159 (@list @t52) (@list @t4))) % 150.55/150.88 (step @p167 :rule refl :args (@t111)) % 150.55/150.88 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t160)) % 150.55/150.88 (step @p169 :rule quant-miniscope-or :args ((= @t158 @t160))) % 150.55/150.88 (step @p170 :rule trans :premises (@p169 @p168)) % 150.55/150.88 (step @p171 :rule symm :premises (@p170)) % 150.55/150.88 (step @p172 :rule cong :premises (@p171) :args ((forall @t34 (or @t111 @t163)))) % 150.55/150.88 (step @p173 :rule trans :premises (@p172 @p165)) % 150.55/150.88 (step @p174 :rule trans :premises (@p173 @p164)) % 150.55/150.88 (step @p175 :rule bool-impl-elim :args (@t110 @t163)) % 150.55/150.88 (step @p176 :rule cong :premises (@p175) :args ((forall @t34 (=> @t110 @t163)))) % 150.55/150.88 (step @p177 :rule trans :premises (@p176 @p174)) % 150.55/150.88 (step @p178 :rule refl :args (@t161)) % 150.55/150.88 (step @p179 :rule refl :args (@t26)) % 150.55/150.88 (step @p180 :rule cong :premises (@p179 @p178) :args ((= @t26 @t161))) % 150.55/150.88 (step @p181 :rule symm :premises (@p180)) % 150.55/150.88 (step @p182 :rule eq_resolve :premises (@p179 @p181)) % 150.55/150.88 (step @p183 :rule refl :args (@t162)) % 150.55/150.88 (step @p184 :rule refl :args (@t28)) % 150.55/150.88 (step @p185 :rule cong :premises (@p184 @p183) :args ((= @t28 @t162))) % 150.55/150.88 (step @p186 :rule symm :premises (@p185)) % 150.55/150.88 (step @p187 :rule eq_resolve :premises (@p184 @p186)) % 150.55/150.88 (step @p188 :rule cong :premises (@p187) :args (@t164)) % 150.55/150.88 (step @p189 :rule nary_cong :premises (@p188 @p182) :args (@t165)) % 150.55/150.88 (step @p190 :rule cong :premises (@p189) :args ((forall @t9 @t165))) % 150.55/150.88 (step @p191 :rule bool-impl-elim :args (@t28 @t26)) % 150.55/150.88 (step @p192 :rule cong :premises (@p191) :args (@t29)) % 150.55/150.88 (step @p193 :rule trans :premises (@p192 @p190)) % 150.55/150.88 (step @p194 :rule refl :args (@t108)) % 150.55/150.88 (step @p195 :rule refl :args (@t30)) % 150.55/150.88 (step @p196 :rule cong :premises (@p195 @p194) :args ((= @t30 @t108))) % 150.55/150.88 (step @p197 :rule symm :premises (@p196)) % 150.55/150.88 (step @p198 :rule eq_resolve :premises (@p195 @p197)) % 150.55/150.88 (step @p199 :rule refl :args (@t109)) % 150.55/150.88 (step @p200 :rule refl :args (@t31)) % 150.55/150.88 (step @p201 :rule cong :premises (@p200 @p199) :args ((= @t31 @t109))) % 150.55/150.88 (step @p202 :rule symm :premises (@p201)) % 150.55/150.88 (step @p203 :rule eq_resolve :premises (@p200 @p202)) % 150.55/150.88 (step @p204 :rule cong :premises (@p203) :args (@t166)) % 150.55/150.88 (step @p205 :rule nary_cong :premises (@p204 @p198) :args (@t167)) % 150.55/150.88 (step @p206 :rule cong :premises (@p205) :args ((forall @t9 @t167))) % 150.55/150.88 (step @p207 :rule bool-impl-elim :args (@t31 @t30)) % 150.55/150.88 (step @p208 :rule cong :premises (@p207) :args (@t32)) % 150.55/150.88 (step @p209 :rule trans :premises (@p208 @p206)) % 150.55/150.88 (step @p210 :rule cong :premises (@p209 @p193) :args (@t33)) % 150.55/150.88 (step @p211 :rule cong :premises (@p210) :args (@t35)) % 150.55/150.88 (step @p212 :rule trans :premises (@p211 @p177)) % 150.55/150.88 (step @p213 :rule aci_norm :args ((= @t36 @t35))) % 150.55/150.88 (step @p214 :rule trans :premises (@p213 @p212)) % 150.55/150.88 (step @p215 :rule cong :premises (@p214 @p162) :args (@t37)) % 150.55/150.88 (step @p216 :rule cong :premises (@p215) :args (@t39)) % 150.55/150.88 (step @p217 :rule trans :premises (@p216 @p64)) % 150.55/150.88 (step @p218 :rule cong :premises (@p217) :args (@t40)) % 150.55/150.88 (step @p219 :rule trans :premises (@p218 @p52 @p51 @p50)) % 150.55/150.88 (step @p220 :rule eq_resolve :premises (@p1 @p219)) % 150.55/150.88 (step @p221 :rule skolemize :premises (@p220)) % 150.55/150.88 (step @p222 :rule bool-double-not-elim :args (@t168)) % 150.55/150.88 (step @p223 :rule refl :args (@t176)) % 150.55/150.88 (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((or @t176 (not @t175)))) % 150.55/150.88 (step @p225 :rule cnf_or_neg :args (@t176 0)) % 150.55/150.88 (step @p226 :rule eq_resolve :premises (@p225 @p224)) % 150.55/150.88 (step @p227 :rule reordering :premises (@p226) :args ((or @t168 @t176))) % 150.55/150.88 (step @p228 :rule chain_m_resolution :premises (@p227 @p221) :args (@t168 @t177 @t178)) % 150.55/150.88 (step @p229 :rule instantiate :premises (@p228) :args ((@list @t87 @t61 @t66))) % 150.55/150.88 (step @p230 :rule cnf_or_pos :args (@t182)) % 150.55/150.88 (step @p231 :rule reordering :premises (@p230) :args ((or @t68 @t179 @t181 (not @t182)))) % 150.55/150.88 (step @p232 :rule refl :args (@t188)) % 150.55/150.88 (step @p233 :rule bool-double-not-elim :args (@t180)) % 150.55/150.88 (step @p234 :rule nary_cong :premises (@p233 @p232) :args ((or (not @t181) @t188))) % 150.55/150.88 (assume-push @p342 @t181) % 150.55/150.88 (step @p236 :rule skolemize :premises (@p342)) % 150.55/150.88 (step-pop @p343 :rule scope :premises (@p236)) % 150.55/150.88 (step @p237 :rule process_scope :premises (@p343) :args (@t188)) % 150.55/150.88 (step @p239 :rule implies_elim :premises (@p237)) % 150.55/150.88 (step @p240 :rule eq_resolve :premises (@p239 @p234)) % 150.55/150.88 (step @p241 :rule bool-double-not-elim :args (@t185)) % 150.55/150.88 (step @p242 :rule refl :args (@t187)) % 150.55/150.88 (step @p243 :rule nary_cong :premises (@p242 @p241) :args ((or @t187 (not @t186)))) % 150.55/150.88 (step @p244 :rule cnf_or_neg :args (@t187 0)) % 150.55/150.88 (step @p245 :rule eq_resolve :premises (@p244 @p243)) % 150.55/150.88 (step @p246 :rule reordering :premises (@p245) :args ((or @t185 @t187))) % 150.55/150.88 (step @p247 :rule cnf_or_neg :args (@t187 1)) % 150.55/150.88 (step @p248 :rule cnf_or_pos :args (@t189)) % 150.55/150.88 (step @p249 :rule reordering :premises (@p248) :args ((or @t92 @t186 (not @t189)))) % 150.55/150.88 (step @p250 :rule instantiate :premises (@p15) :args ((@list @t60 @t183))) % 150.55/150.88 (step @p251 :rule bool-double-not-elim :args (@t190)) % 150.55/150.88 (step @p252 :rule refl :args (@t184)) % 150.55/150.88 (step @p253 :rule refl :args (@t193)) % 150.55/150.88 (step @p254 :rule nary_cong :premises (@p253 @p252 @p251) :args ((or @t193 @t184 (not @t191)))) % 150.55/150.88 (step @p255 :rule cnf_equiv_pos2 :args (@t192)) % 150.55/150.88 (step @p256 :rule eq_resolve :premises (@p255 @p254)) % 150.55/150.88 (step @p257 :rule reordering :premises (@p256) :args ((or @t184 @t190 @t193))) % 150.55/150.88 (assume-push @p344 @t190) % 150.55/150.88 (step @p259 :rule instantiate :premises (@p344) :args ((@list @t87))) % 150.55/150.88 (step-pop @p345 :rule scope :premises (@p259)) % 150.55/150.88 (step @p260 :rule process_scope :premises (@p345) :args (@t189)) % 150.55/150.88 (step @p262 :rule implies_elim :premises (@p260)) % 150.55/150.88 (step @p263 :rule chain_m_resolution :premises (@p262 @p257 @p250 @p249 @p247 @p246 @p240 @p231 @p229 @p45 @p43 @p38 @p33 @p27 @p18 @p16 @p9 @p8) :args (@t70 (@list false false true true false true true false false false false false true true false true false) (@list @t190 @t192 @t189 @t184 @t185 @t187 @t180 @t182 @t95 @t96 @t88 @t91 @t93 @t84 @t86 @t68 @t67))) % 150.55/150.88 (step @p264 :rule refl :args (@t194)) % 150.55/150.88 (step @p265 :rule bool-double-not-elim :args (@t65)) % 150.55/150.88 (step @p266 :rule nary_cong :premises (@p265 @p264) :args ((or (not @t195) @t194))) % 150.55/150.88 (assume-push @p346 @t195) % 150.55/150.88 (step @p268 :rule skolemize :premises (@p346)) % 150.55/150.88 (step-pop @p347 :rule scope :premises (@p268)) % 150.55/150.88 (step @p269 :rule process_scope :premises (@p347) :args (@t194)) % 150.55/150.88 (step @p271 :rule implies_elim :premises (@p269)) % 150.55/150.88 (step @p272 :rule eq_resolve :premises (@p271 @p266)) % 150.55/150.88 (step @p273 :rule chain_m_resolution :premises (@p272 @p263) :args (@t65 @t196 (@list @t70))) % 150.55/150.88 (assume-push @p348 @t65) % 150.55/150.88 (step @p275 :rule instantiate :premises (@p348) :args ((@list @t169))) % 150.55/150.88 (step-pop @p349 :rule scope :premises (@p275)) % 150.55/150.88 (step @p276 :rule process_scope :premises (@p349) :args (@t199)) % 150.55/150.88 (step @p278 :rule implies_elim :premises (@p276)) % 150.55/150.88 (step @p279 :rule chain_m_resolution :premises (@p278 @p273) :args (@t199 @t196 (@list @t65))) % 150.55/150.88 (step @p280 :rule cnf_or_neg :args (@t176 1)) % 150.55/150.88 (step @p281 :rule chain_m_resolution :premises (@p280 @p221) :args ((not @t174) @t177 @t178)) % 150.55/150.88 (step @p282 :rule bool-double-not-elim :args (@t171)) % 150.55/150.88 (step @p283 :rule refl :args (@t200)) % 150.55/150.88 (step @p284 :rule refl :args (@t174)) % 150.55/150.88 (step @p285 :rule nary_cong :premises (@p284 @p283 @p282) :args ((or @t174 @t200 (not @t172)))) % 150.55/150.88 (step @p286 :rule cnf_equiv_neg2 :args (@t174)) % 150.55/150.88 (step @p287 :rule eq_resolve :premises (@p286 @p285)) % 150.55/150.88 (step @p288 :rule reordering :premises (@p287) :args ((or @t171 @t174 @t200))) % 150.55/150.88 (step @p289 :rule bool-double-not-elim :args (@t204)) % 150.55/150.88 (step @p290 :rule refl :args (@t207)) % 150.55/150.88 (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((or @t207 (not @t206)))) % 150.55/150.88 (step @p292 :rule cnf_or_neg :args (@t207 0)) % 150.55/150.88 (step @p293 :rule eq_resolve :premises (@p292 @p291)) % 150.55/150.88 (step @p294 :rule reordering :premises (@p293) :args ((or @t204 @t207))) % 150.55/150.88 (step @p295 :rule cnf_or_neg :args (@t207 1)) % 150.55/150.88 (step @p296 :rule instantiate :premises (@p228) :args ((@list @t61 @t62 @t203))) % 150.55/150.88 (step @p297 :rule cnf_or_pos :args (@t208)) % 150.55/150.88 (step @p298 :rule reordering :premises (@p297) :args ((or @t206 @t205 @t195 (not @t208)))) % 150.55/150.88 (step @p299 :rule chain_m_resolution :premises (@p298 @p296 @p273 @p295 @p294) :args (@t207 (@list false false true false) (@list @t208 @t65 @t205 @t204))) % 150.55/150.88 (step @p300 :rule refl :args (@t209)) % 150.55/150.88 (step @p301 :rule bool-double-not-elim :args (@t202)) % 150.55/150.88 (step @p302 :rule nary_cong :premises (@p301 @p300) :args ((or (not @t210) @t209))) % 150.55/150.88 (assume-push @p350 @t210) % 150.55/150.88 (step @p304 :rule skolemize :premises (@p350)) % 150.55/150.88 (step-pop @p351 :rule scope :premises (@p304)) % 150.55/150.88 (step @p305 :rule process_scope :premises (@p351) :args (@t209)) % 150.55/150.88 (step @p307 :rule implies_elim :premises (@p305)) % 150.55/150.88 (step @p308 :rule eq_resolve :premises (@p307 @p302)) % 150.55/150.88 (step @p309 :rule chain_m_resolution :premises (@p308 @p299) :args (@t202 @t196 (@list @t207))) % 150.55/150.88 (step @p310 :rule cnf_or_pos :args (@t211)) % 150.55/150.88 (step @p311 :rule reordering :premises (@p310) :args ((or @t200 @t210 (not @t211)))) % 150.55/150.88 (assume-push @p352 @t171) % 150.55/150.88 (step @p313 :rule instantiate :premises (@p352) :args ((@list @t62))) % 150.55/150.88 (step-pop @p353 :rule scope :premises (@p313)) % 150.55/150.88 (step @p314 :rule process_scope :premises (@p353) :args (@t211)) % 150.55/150.88 (step @p316 :rule implies_elim :premises (@p314)) % 150.55/150.88 (step @p317 :rule chain_m_resolution :premises (@p316 @p311 @p309 @p288 @p281) :args (@t200 (@list true false false true) (@list @t211 @t202 @t171 @t174))) % 150.55/150.88 (step @p318 :rule cnf_or_pos :args (@t199)) % 150.55/150.88 (step @p319 :rule reordering :premises (@p318) :args ((or @t173 @t198 (not @t199)))) % 150.55/150.88 (step @p320 :rule chain_m_resolution :premises (@p319 @p317 @p279) :args (@t198 (@list true false) (@list @t173 @t199))) % 150.55/150.88 (step @p321 :rule cnf_equiv_neg1 :args (@t174)) % 150.55/150.88 (step @p322 :rule reordering :premises (@p321) :args ((or @t173 @t172 @t174))) % 150.55/150.88 (step @p323 :rule chain_m_resolution :premises (@p322 @p317 @p281) :args (@t172 (@list true true) (@list @t173 @t174))) % 150.55/150.88 (step @p324 :rule alpha_equiv :args ((forall (@list @t212) (or (not (forall (@list @t213) (or (not (_ @t43 @t212 @t213)) (_ @t43 (_ @t45 @t60 @t212) @t213)))) (not (_ @t43 @t212 @t169)))) @t214 (@list @t42 @t14))) % 150.55/150.88 (step @p325 :rule alpha_equiv :args (@t171 (@list @t42 @t4) @t214)) % 150.55/150.88 (step @p326 :rule trans :premises (@p325 @p324)) % 150.55/150.88 (step @p327 :rule equiv_elim2 :premises (@p326)) % 150.55/150.88 (step @p328 :rule chain_m_resolution :premises (@p327 @p323) :args (@t216 @t177 (@list @t171))) % 150.55/150.88 (step @p329 :rule instantiate :premises (@p15) :args ((@list @t60 @t169))) % 150.55/150.88 (step @p330 :rule bool-double-not-elim :args (@t215)) % 150.55/150.88 (step @p331 :rule refl :args (@t197)) % 150.55/150.88 (step @p332 :rule refl :args (@t218)) % 150.55/150.88 (step @p333 :rule nary_cong :premises (@p332 @p331 @p330) :args ((or @t218 @t197 (not @t216)))) % 150.55/150.88 (step @p334 :rule cnf_equiv_pos2 :args (@t217)) % 150.55/150.88 (step @p335 :rule eq_resolve :premises (@p334 @p333)) % 150.55/150.88 (step @p336 :rule reordering :premises (@p335) :args ((or @t197 @t215 @t218))) % 150.55/150.88 (step @p337 false :rule chain_m_resolution :premises (@p336 @p329 @p328 @p320) :args (false (@list false true true) (@list @t217 @t215 @t197))) % 150.55/150.88 ) % 150.55/150.88 % SZS output end Proof % 150.55/150.88 % cvc5 exiting %------------------------------------------------------------------------------