%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU859^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:53:26 AM UTC 2026 % Result : Theorem 153.86s 154.12s % Output : Proof 153.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU859^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.36 % Computer : n006.cluster.edu % 0.18/0.36 % Model : x86_64 x86_64 % 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.36 % Memory : 8042.1875MB % 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.36 % CPULimit : 300 % 0.18/0.36 % WCLimit : 300 % 0.18/0.36 % DateTime : Tue Jun 2 17:55:34 EDT 2026 % 0.18/0.36 % CPUTime : % 0.31/0.52 %----Proving TH0 % 153.86/154.12 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 153.86/154.12 --- 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... % 153.86/154.12 --- 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... % 153.86/154.12 --- Run --ho-elim --full-saturate-quant at 18s... % 153.86/154.12 % SZS status Theorem % 153.86/154.12 % SZS output start Proof % 153.86/154.12 ( % 153.86/154.12 (declare-sort tptp.a 0) % 153.86/154.12 (define @t1 () (@var "Xx" tptp.a)) % 153.86/154.12 (define @t2 () (@var "Xt" tptp.a)) % 153.86/154.12 (define @t3 () (@var "Xr" (-> tptp.a Bool))) % 153.86/154.12 (define @t4 () (_ @t3 @t2)) % 153.86/154.12 (define @t5 () (or @t4 (= @t2 @t1))) % 153.86/154.12 (define @t6 () (@list @t2)) % 153.86/154.12 (define @t7 () (lambda @t6 @t5)) % 153.86/154.12 (define @t8 () (@var "Xw" (-> (-> tptp.a Bool) Bool))) % 153.86/154.12 (define @t9 () (@var "Xx0" tptp.a)) % 153.86/154.12 (define @t10 () (@var "Xr0" (-> tptp.a Bool))) % 153.86/154.12 (define @t11 () (_ @t10 @t2)) % 153.86/154.12 (define @t12 () (or @t11 (= @t2 @t9))) % 153.86/154.12 (define @t13 () (lambda @t6 @t12)) % 153.86/154.12 (define @t14 () (_ @t8 @t10)) % 153.86/154.12 (define @t15 () (=> @t14 (_ @t8 @t13))) % 153.86/154.12 (define @t16 () (@list @t10 @t9)) % 153.86/154.12 (define @t17 () (forall @t16 @t15)) % 153.86/154.12 (define @t18 () (lambda (@list @t9) false)) % 153.86/154.12 (define @t19 () (and (_ @t8 @t18) @t17)) % 153.86/154.12 (define @t20 () (=> @t19 (_ @t8 @t7))) % 153.86/154.12 (define @t21 () (@list @t8)) % 153.86/154.12 (define @t22 () (forall @t21 @t20)) % 153.86/154.12 (define @t23 () (_ @t8 @t3)) % 153.86/154.12 (define @t24 () (=> @t19 @t23)) % 153.86/154.12 (define @t25 () (forall @t21 @t24)) % 153.86/154.12 (define @t26 () (=> @t25 @t22)) % 153.86/154.12 (define @t27 () (@list @t3 @t1)) % 153.86/154.12 (define @t28 () (forall @t27 @t26)) % 153.86/154.12 (define @t29 () (not @t28)) % 153.86/154.12 (define @t30 () (@var "BOUND_VARIABLE_7602" (@ho-elim-sort (-> tptp.a Bool)))) % 153.86/154.12 (define @t31 () (@const 0 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a tptp.a Bool)))) % 153.86/154.12 (define @t32 () (@const 1 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a tptp.a Bool)) (@ho-elim-sort (-> tptp.a Bool)) (@ho-elim-sort (-> tptp.a tptp.a Bool))))) % 153.86/154.12 (define @t33 () (@const 2 (-> (@ho-elim-sort (-> tptp.a tptp.a Bool)) tptp.a (@ho-elim-sort (-> tptp.a Bool))))) % 153.86/154.12 (define @t34 () (@var "BOUND_VARIABLE_7617" (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) Bool)))) % 153.86/154.12 (define @t35 () (@const 3 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) Bool)) (@ho-elim-sort (-> tptp.a Bool)) Bool))) % 153.86/154.12 (define @t36 () (@var "BOUND_VARIABLE_7622" (@ho-elim-sort (-> tptp.a Bool)))) % 153.86/154.12 (define @t37 () (@const 4 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a tptp.a Bool)))) % 153.86/154.12 (define @t38 () (_ @t33 (_ @t32 @t37 @t36) @t9)) % 153.86/154.12 (define @t39 () (@list @t36 @t9)) % 153.86/154.12 (define @t40 () (@const 5 (@ho-elim-sort (-> tptp.a Bool)))) % 153.86/154.12 (define @t41 () (@var "BOUND_VARIABLE_7638" (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) Bool)))) % 153.86/154.12 (define @t42 () (not (forall @t39 (or (not (_ @t35 @t41 @t36)) (_ @t35 @t41 @t38))))) % 153.86/154.12 (define @t43 () (not (_ @t35 @t41 @t40))) % 153.86/154.12 (define @t44 () (@list @t41)) % 153.86/154.12 (define @t45 () (forall (@list @t30 @t1 @t34) (or (not (forall @t44 (or @t43 @t42 (_ @t35 @t41 @t30)))) (not (_ @t35 @t34 @t40)) (not (forall @t39 (or (not (_ @t35 @t34 @t36)) (_ @t35 @t34 @t38)))) (_ @t35 @t34 (_ @t33 (_ @t32 @t31 @t30) @t1))))) % 153.86/154.12 (define @t46 () (@const 6 (-> (-> tptp.a Bool) tptp.a tptp.a Bool))) % 153.86/154.12 (define @t47 () (@var "BOUND_VARIABLE_7501" (-> (-> tptp.a Bool) Bool))) % 153.86/154.12 (define @t48 () (@const 7 (-> (-> tptp.a Bool) tptp.a tptp.a Bool))) % 153.86/154.12 (define @t49 () (_ (_ @t48 @t10) @t9)) % 153.86/154.12 (define @t50 () (not (_ @t47 @t10))) % 153.86/154.12 (define @t51 () (@const 8 (-> tptp.a Bool))) % 153.86/154.12 (define @t52 () (_ @t8 @t3)) % 153.86/154.12 (define @t53 () (_ @t8 @t10)) % 153.86/154.12 (define @t54 () (not @t53)) % 153.86/154.12 (define @t55 () (@list @t3 @t1 @t47)) % 153.86/154.12 (define @t56 () (not (forall @t55 (or (not (forall @t21 (or (not (_ @t8 @t51)) (not (forall @t16 (or @t54 (_ @t8 @t49)))) @t52))) (not (_ @t47 @t51)) (not (forall @t16 (or @t50 (_ @t47 @t49)))) (_ @t47 (_ (_ @t46 @t3) @t1)))))) % 153.86/154.12 (define @t57 () (= @t1 @t2)) % 153.86/154.12 (define @t58 () (_ @t3 @t2)) % 153.86/154.12 (define @t59 () (or @t58 @t57)) % 153.86/154.12 (define @t60 () (lambda @t6 @t59)) % 153.86/154.12 (define @t61 () (_ @t47 @t60)) % 153.86/154.12 (define @t62 () (= @t9 @t2)) % 153.86/154.12 (define @t63 () (_ @t10 @t2)) % 153.86/154.12 (define @t64 () (or @t63 @t62)) % 153.86/154.12 (define @t65 () (lambda @t6 @t64)) % 153.86/154.12 (define @t66 () (not (forall @t16 (or @t50 (_ @t47 @t65))))) % 153.86/154.12 (define @t67 () (@var "BOUND_VARIABLE_7546" tptp.a)) % 153.86/154.12 (define @t68 () (lambda (@list @t67) false)) % 153.86/154.12 (define @t69 () (not (_ @t47 @t68))) % 153.86/154.12 (define @t70 () (_ @t8 @t65)) % 153.86/154.12 (define @t71 () (forall @t16 (or @t54 @t70))) % 153.86/154.12 (define @t72 () (not @t71)) % 153.86/154.12 (define @t73 () (_ @t8 @t68)) % 153.86/154.12 (define @t74 () (not @t73)) % 153.86/154.12 (define @t75 () (forall @t21 (or @t74 @t72 @t52))) % 153.86/154.12 (define @t76 () (not @t75)) % 153.86/154.12 (define @t77 () (or @t76 @t69 @t66 @t61)) % 153.86/154.12 (define @t78 () (or @t69 @t66 @t61)) % 153.86/154.12 (define @t79 () (or @t76 @t78)) % 153.86/154.12 (define @t80 () (forall @t55 @t79)) % 153.86/154.12 (define @t81 () (@list @t47)) % 153.86/154.12 (define @t82 () (forall @t81 @t79)) % 153.86/154.12 (define @t83 () (forall @t81 @t78)) % 153.86/154.12 (define @t84 () (or @t76 @t83)) % 153.86/154.12 (define @t85 () (_ @t8 @t60)) % 153.86/154.12 (define @t86 () (forall @t21 (or @t74 @t72 @t85))) % 153.86/154.12 (define @t87 () (or @t4 @t57)) % 153.86/154.12 (define @t88 () (lambda @t6 @t87)) % 153.86/154.12 (define @t89 () (_ @t8 @t88)) % 153.86/154.12 (define @t90 () (_ @t8 @t68)) % 153.86/154.12 (define @t91 () (not @t90)) % 153.86/154.12 (define @t92 () (or @t91 @t72 @t89)) % 153.86/154.12 (define @t93 () (or @t91 @t72)) % 153.86/154.12 (define @t94 () (and @t90 @t71)) % 153.86/154.12 (define @t95 () (not @t94)) % 153.86/154.12 (define @t96 () (or @t11 @t62)) % 153.86/154.12 (define @t97 () (lambda @t6 @t96)) % 153.86/154.12 (define @t98 () (_ @t8 @t97)) % 153.86/154.12 (define @t99 () (not @t14)) % 153.86/154.12 (define @t100 () (or @t99 @t98)) % 153.86/154.12 (define @t101 () (or @t91 @t72 @t23)) % 153.86/154.12 (define @t102 () (@quantifiers_skolemize @t45 1)) % 153.86/154.12 (define @t103 () (@quantifiers_skolemize @t45 0)) % 153.86/154.12 (define @t104 () (_ @t33 (_ @t32 @t31 @t103) @t102)) % 153.86/154.12 (define @t105 () (@quantifiers_skolemize @t45 2)) % 153.86/154.12 (define @t106 () (_ @t35 @t105 @t104)) % 153.86/154.12 (define @t107 () (forall @t39 (or (not (_ @t35 @t105 @t36)) (_ @t35 @t105 @t38)))) % 153.86/154.12 (define @t108 () (not @t107)) % 153.86/154.12 (define @t109 () (_ @t35 @t105 @t40)) % 153.86/154.12 (define @t110 () (not @t109)) % 153.86/154.12 (define @t111 () (forall @t44 (or @t43 @t42 (_ @t35 @t41 @t103)))) % 153.86/154.12 (define @t112 () (not @t111)) % 153.86/154.12 (define @t113 () (or @t112 @t110 @t108 @t106)) % 153.86/154.12 (define @t114 () (not @t106)) % 153.86/154.12 (define @t115 () (@list true)) % 153.86/154.12 (define @t116 () (@list @t113)) % 153.86/154.12 (define @t117 () (_ @t35 @t105 @t103)) % 153.86/154.12 (define @t118 () (or @t110 @t108 @t117)) % 153.86/154.12 (define @t119 () (_ @t33 (_ @t32 @t37 @t103) @t102)) % 153.86/154.12 (define @t120 () (_ @t35 @t105 @t119)) % 153.86/154.12 (define @t121 () (not @t117)) % 153.86/154.12 (define @t122 () (or @t121 @t120)) % 153.86/154.12 (define @t123 () (@list false false)) % 153.86/154.12 (define @t124 () (@var "y" (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) Bool)))) % 153.86/154.12 (define @t125 () (@var "x" (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) Bool)))) % 153.86/154.12 (define @t126 () (@var "z" (@ho-elim-sort (-> tptp.a Bool)))) % 153.86/154.12 (define @t127 () (@list @t126)) % 153.86/154.12 (define @t128 () (@var "ii" (@ho-elim-sort (-> tptp.a Bool)))) % 153.86/154.12 (define @t129 () (_ @t35 @t105 @t128)) % 153.86/154.12 (define @t130 () (= @t40 @t128)) % 153.86/154.12 (define @t131 () (and (not @t130) @t129)) % 153.86/154.12 (define @t132 () (@var "v" (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) Bool)))) % 153.86/154.12 (define @t133 () (_ @t35 @t132 @t128)) % 153.86/154.12 (define @t134 () (@list @t128)) % 153.86/154.12 (define @t135 () (@list @t132)) % 153.86/154.12 (define @t136 () (forall @t135 (not (forall @t134 (= @t133 @t131))))) % 153.86/154.12 (define @t137 () (@quantifiers_skolemize @t136 0)) % 153.86/154.12 (define @t138 () (_ @t35 @t137 @t128)) % 153.86/154.12 (define @t139 () (ite @t130 @t109 @t138)) % 153.86/154.12 (define @t140 () (forall @t135 (not (forall @t134 (= @t133 @t139))))) % 153.86/154.12 (define @t141 () (@quantifiers_skolemize @t140 0)) % 153.86/154.12 (define @t142 () (forall @t127 (= (_ @t35 @t105 @t126) (_ @t35 @t141 @t126)))) % 153.86/154.12 (define @t143 () (@quantifiers_skolemize @t142 0)) % 153.86/154.12 (define @t144 () (_ @t35 @t141 @t143)) % 153.86/154.12 (define @t145 () (_ @t35 @t105 @t143)) % 153.86/154.12 (define @t146 () (= @t145 @t144)) % 153.86/154.12 (define @t147 () (@var "u" (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) Bool)))) % 153.86/154.12 (define @t148 () (@var "e" Bool)) % 153.86/154.12 (define @t149 () (@var "i" (@ho-elim-sort (-> tptp.a Bool)))) % 153.86/154.12 (define @t150 () (forall (@list @t147 @t148 @t149) (not (forall @t135 (not (forall @t134 (= @t133 (ite (= @t149 @t128) @t148 (_ @t35 @t147 @t128))))))))) % 153.86/154.12 (define @t151 () (_ @t35 @t141 @t128)) % 153.86/154.12 (define @t152 () (forall @t134 (= @t139 @t151))) % 153.86/154.12 (define @t153 () (not @t140)) % 153.86/154.12 (define @t154 () (forall @t134 (= @t151 @t139))) % 153.86/154.12 (define @t155 () (not (not @t154))) % 153.86/154.12 (define @t156 () (_ @t35 @t137 @t143)) % 153.86/154.12 (define @t157 () (= @t40 @t143)) % 153.86/154.12 (define @t158 () (ite @t157 @t109 @t156)) % 153.86/154.12 (define @t159 () (= @t158 @t144)) % 153.86/154.12 (define @t160 () (@list @t143)) % 153.86/154.12 (define @t161 () (= @t144 @t158)) % 153.86/154.12 (define @t162 () (@list false)) % 153.86/154.12 (define @t163 () (not @t161)) % 153.86/154.12 (define @t164 () (not @t158)) % 153.86/154.12 (define @t165 () (not @t156)) % 153.86/154.12 (define @t166 () (not @t157)) % 153.86/154.12 (define @t167 () (= @t133 (ite @t130 false @t129))) % 153.86/154.12 (define @t168 () (forall @t134 @t167)) % 153.86/154.12 (define @t169 () (not @t168)) % 153.86/154.12 (define @t170 () (forall @t135 @t169)) % 153.86/154.12 (define @t171 () (not @t170)) % 153.86/154.12 (define @t172 () (not @t136)) % 153.86/154.12 (define @t173 () (forall @t134 (= @t131 @t138))) % 153.86/154.12 (define @t174 () (forall @t134 (= @t138 @t131))) % 153.86/154.12 (define @t175 () (not (not @t174))) % 153.86/154.12 (define @t176 () (and @t166 @t145)) % 153.86/154.12 (define @t177 () (= @t176 @t156)) % 153.86/154.12 (define @t178 () (not @t177)) % 153.86/154.12 (define @t179 () (not @t176)) % 153.86/154.12 (define @t180 () (not @t145)) % 153.86/154.12 (define @t181 () (and @t109 @t157 @t180)) % 153.86/154.12 (define @t182 () (not @t146)) % 153.86/154.12 (define @t183 () (not @t142)) % 153.86/154.12 (define @t184 () (= @t105 @t141)) % 153.86/154.12 (define @t185 () (or @t183 @t184)) % 153.86/154.12 (define @t186 () (@var "y" (@ho-elim-sort (-> tptp.a Bool)))) % 153.86/154.12 (define @t187 () (@var "x" (@ho-elim-sort (-> tptp.a Bool)))) % 153.86/154.12 (define @t188 () (@var "z" tptp.a)) % 153.86/154.12 (define @t189 () (@const 9 (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool))) % 153.86/154.12 (define @t190 () (@list @t188)) % 153.86/154.12 (define @t191 () (forall @t190 (= (_ @t189 @t104 @t188) (_ @t189 @t119 @t188)))) % 153.86/154.12 (define @t192 () (@quantifiers_skolemize @t191 0)) % 153.86/154.12 (define @t193 () (_ @t189 @t119 @t192)) % 153.86/154.12 (define @t194 () (_ @t189 @t104 @t192)) % 153.86/154.12 (define @t195 () (= @t194 @t193)) % 153.86/154.12 (define @t196 () (@var "BOUND_VARIABLE_7570" tptp.a)) % 153.86/154.12 (define @t197 () (@var "BOUND_VARIABLE_7569" tptp.a)) % 153.86/154.12 (define @t198 () (= @t197 @t196)) % 153.86/154.12 (define @t199 () (@var "BOUND_VARIABLE_7663" (@ho-elim-sort (-> tptp.a Bool)))) % 153.86/154.12 (define @t200 () (or (_ @t189 @t199 @t196) @t198)) % 153.86/154.12 (define @t201 () (_ @t189 (_ @t33 (_ @t32 @t31 @t199) @t197) @t196)) % 153.86/154.12 (define @t202 () (forall (@list @t199 @t197 @t196) (= @t200 @t201))) % 153.86/154.12 (define @t203 () (@var "BOUND_VARIABLE_7568" (-> tptp.a Bool))) % 153.86/154.12 (define @t204 () (forall (@list @t203 @t197 @t196) (= (or (_ @t203 @t196) @t198) (_ @t46 @t203 @t197 @t196)))) % 153.86/154.12 (define @t205 () (@list @t103 @t102 @t192)) % 153.86/154.12 (define @t206 () (or (_ @t189 @t103 @t192) (= @t102 @t192))) % 153.86/154.12 (define @t207 () (= @t194 @t206)) % 153.86/154.12 (define @t208 () (not @t207)) % 153.86/154.12 (define @t209 () (not @t194)) % 153.86/154.12 (define @t210 () (@var "BOUND_VARIABLE_7580" tptp.a)) % 153.86/154.12 (define @t211 () (@var "BOUND_VARIABLE_7579" tptp.a)) % 153.86/154.12 (define @t212 () (= @t211 @t210)) % 153.86/154.12 (define @t213 () (@var "BOUND_VARIABLE_7681" (@ho-elim-sort (-> tptp.a Bool)))) % 153.86/154.12 (define @t214 () (or (_ @t189 @t213 @t210) @t212)) % 153.86/154.12 (define @t215 () (_ @t189 (_ @t33 (_ @t32 @t37 @t213) @t211) @t210)) % 153.86/154.12 (define @t216 () (forall (@list @t213 @t211 @t210) (= @t214 @t215))) % 153.86/154.12 (define @t217 () (@var "BOUND_VARIABLE_7578" (-> tptp.a Bool))) % 153.86/154.12 (define @t218 () (forall (@list @t217 @t211 @t210) (= (or (_ @t217 @t210) @t212) (_ @t48 @t217 @t211 @t210)))) % 153.86/154.12 (define @t219 () (= @t193 @t206)) % 153.86/154.12 (define @t220 () (not @t219)) % 153.86/154.12 (define @t221 () (not @t206)) % 153.86/154.12 (define @t222 () (@list false false false true)) % 153.86/154.12 (define @t223 () (not @t195)) % 153.86/154.12 (define @t224 () (not @t191)) % 153.86/154.12 (define @t225 () (= @t104 @t119)) % 153.86/154.12 (define @t226 () (or @t224 @t225)) % 153.86/154.12 (define @t227 () (not @t225)) % 153.86/154.12 (define @t228 () (not @t184)) % 153.86/154.12 (define @t229 () (not @t120)) % 153.86/154.12 (define @t230 () (and @t114 @t184 @t225 @t120)) % 153.86/154.12 (assume @p1 @t29) % 153.86/154.12 (assume @p2 true) % 153.86/154.12 ; WARNING: add trust step for TRUST % 153.86/154.12 ; trust TRUST PREPROCESS_HO_ELIM % 153.86/154.12 (step @p3 :rule trust :premises () :args ((= @t56 (not @t45)))) % 153.86/154.12 ; trust TRUST PREPROCESS_HO_ELIM % 153.86/154.12 (step @p4 :rule trust :premises () :args ((= (not (forall @t55 @t77)) @t56))) % 153.86/154.12 (step @p5 :rule aci_norm :args ((= @t79 @t77))) % 153.86/154.12 (step @p6 :rule cong :premises (@p5) :args (@t80)) % 153.86/154.12 (step @p7 :rule quant-merge-prenex :args ((= (forall @t27 @t82) @t80))) % 153.86/154.12 (step @p8 :rule alpha_equiv :args (@t83 (@list @t47) (@list @t8))) % 153.86/154.12 (step @p9 :rule refl :args (@t76)) % 153.86/154.12 (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t84)) % 153.86/154.12 (step @p11 :rule quant-miniscope-or :args ((= @t82 @t84))) % 153.86/154.12 (step @p12 :rule trans :premises (@p11 @p10)) % 153.86/154.12 (step @p13 :rule symm :premises (@p12)) % 153.86/154.12 (step @p14 :rule cong :premises (@p13) :args ((forall @t27 (or @t76 @t86)))) % 153.86/154.12 (step @p15 :rule trans :premises (@p14 @p7)) % 153.86/154.12 (step @p16 :rule trans :premises (@p15 @p6)) % 153.86/154.12 (step @p17 :rule bool-impl-elim :args (@t75 @t86)) % 153.86/154.12 (step @p18 :rule cong :premises (@p17) :args ((forall @t27 (=> @t75 @t86)))) % 153.86/154.12 (step @p19 :rule trans :premises (@p18 @p16)) % 153.86/154.12 (step @p20 :rule refl :args ((_ @t8 @t88))) % 153.86/154.12 (step @p21 :rule refl :args (@t57)) % 153.86/154.12 (step @p22 :rule refl :args (@t58)) % 153.86/154.12 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t59)) % 153.86/154.12 (step @p24 :rule cong :premises (@p23) :args (@t60)) % 153.86/154.12 (step @p25 :rule cong :premises (@p24) :args (@t85)) % 153.86/154.12 (step @p26 :rule trans :premises (@p25 @p20)) % 153.86/154.12 (step @p27 :rule refl :args (@t8)) % 153.86/154.12 (step @p28 :rule ho_cong :premises (@p27 @p24)) % 153.86/154.12 (step @p29 :rule cong :premises (@p28 @p26) :args ((= (_ @t8 @t60) @t85))) % 153.86/154.12 (step @p30 :rule symm :premises (@p29)) % 153.86/154.12 (step @p31 :rule refl :args (@t89)) % 153.86/154.12 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 153.86/154.12 (step @p33 :rule refl :args (@t4)) % 153.86/154.12 (step @p34 :rule cong :premises (@p33 @p22) :args ((= @t4 @t58))) % 153.86/154.12 (step @p35 :rule symm :premises (@p34)) % 153.86/154.12 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 153.86/154.12 (step @p37 :rule nary_cong :premises (@p36 @p21) :args (@t87)) % 153.86/154.12 (step @p38 :rule cong :premises (@p37) :args (@t88)) % 153.86/154.12 (step @p39 :rule ho_cong :premises (@p27 @p38)) % 153.86/154.12 (step @p40 :rule trans :premises (@p39 @p32)) % 153.86/154.12 (step @p41 :rule refl :args (@t72)) % 153.86/154.12 (step @p42 :rule refl :args ((_ @t8 @t68))) % 153.86/154.12 (step @p43 :rule refl :args (@t68)) % 153.86/154.12 (step @p44 :rule cong :premises (@p43) :args (@t73)) % 153.86/154.12 (step @p45 :rule trans :premises (@p44 @p42)) % 153.86/154.12 (step @p46 :rule ho_cong :premises (@p27 @p43)) % 153.86/154.12 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t90 @t73))) % 153.86/154.12 (step @p48 :rule symm :premises (@p47)) % 153.86/154.12 (step @p49 :rule refl :args ((_ @t8 @t68))) % 153.86/154.12 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 153.86/154.12 (step @p51 :rule cong :premises (@p50) :args (@t91)) % 153.86/154.12 (step @p52 :rule nary_cong :premises (@p51 @p41 @p40) :args (@t92)) % 153.86/154.12 (step @p53 :rule cong :premises (@p52) :args ((forall @t21 @t92))) % 153.86/154.12 (step @p54 :rule aci_norm :args ((= (or @t93 @t89) @t92))) % 153.86/154.12 (step @p55 :rule bool-and-de-morgan :args (@t90 @t71 true)) % 153.86/154.12 (step @p56 :rule nary_cong :premises (@p55 @p31) :args ((or @t95 @t89))) % 153.86/154.12 (step @p57 :rule trans :premises (@p56 @p54)) % 153.86/154.12 (step @p58 :rule bool-impl-elim :args (@t94 @t89)) % 153.86/154.12 (step @p59 :rule trans :premises (@p58 @p57)) % 153.86/154.12 (step @p60 :rule cong :premises (@p59) :args ((forall @t21 (=> @t94 @t89)))) % 153.86/154.12 (step @p61 :rule trans :premises (@p60 @p53)) % 153.86/154.12 (step @p62 :rule eq-symm :args (@t2 @t1)) % 153.86/154.12 (step @p63 :rule refl :args (@t4)) % 153.86/154.12 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t5)) % 153.86/154.12 (step @p65 :rule cong :premises (@p64) :args (@t7)) % 153.86/154.12 (step @p66 :rule refl :args (@t8)) % 153.86/154.12 (step @p67 :rule ho_cong :premises (@p66 @p65)) % 153.86/154.12 (step @p68 :rule refl :args ((_ @t8 @t97))) % 153.86/154.12 (step @p69 :rule refl :args (@t62)) % 153.86/154.12 (step @p70 :rule refl :args (@t63)) % 153.86/154.12 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t64)) % 153.86/154.12 (step @p72 :rule cong :premises (@p71) :args (@t65)) % 153.86/154.12 (step @p73 :rule cong :premises (@p72) :args (@t70)) % 153.86/154.12 (step @p74 :rule trans :premises (@p73 @p68)) % 153.86/154.12 (step @p75 :rule ho_cong :premises (@p27 @p72)) % 153.86/154.12 (step @p76 :rule cong :premises (@p75 @p74) :args ((= (_ @t8 @t65) @t70))) % 153.86/154.12 (step @p77 :rule symm :premises (@p76)) % 153.86/154.12 (step @p78 :rule refl :args (@t98)) % 153.86/154.12 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 153.86/154.12 (step @p80 :rule refl :args (@t11)) % 153.86/154.12 (step @p81 :rule cong :premises (@p80 @p70) :args ((= @t11 @t63))) % 153.86/154.12 (step @p82 :rule symm :premises (@p81)) % 153.86/154.12 (step @p83 :rule eq_resolve :premises (@p80 @p82)) % 153.86/154.12 (step @p84 :rule nary_cong :premises (@p83 @p69) :args (@t96)) % 153.86/154.12 (step @p85 :rule cong :premises (@p84) :args (@t97)) % 153.86/154.12 (step @p86 :rule ho_cong :premises (@p27 @p85)) % 153.86/154.12 (step @p87 :rule trans :premises (@p86 @p79)) % 153.86/154.12 (step @p88 :rule refl :args (@t53)) % 153.86/154.12 (step @p89 :rule refl :args (@t14)) % 153.86/154.12 (step @p90 :rule cong :premises (@p89 @p88) :args ((= @t14 @t53))) % 153.86/154.12 (step @p91 :rule symm :premises (@p90)) % 153.86/154.12 (step @p92 :rule eq_resolve :premises (@p89 @p91)) % 153.86/154.12 (step @p93 :rule cong :premises (@p92) :args (@t99)) % 153.86/154.12 (step @p94 :rule nary_cong :premises (@p93 @p87) :args (@t100)) % 153.86/154.12 (step @p95 :rule cong :premises (@p94) :args ((forall @t16 @t100))) % 153.86/154.12 (step @p96 :rule bool-impl-elim :args (@t14 @t98)) % 153.86/154.12 (step @p97 :rule cong :premises (@p96) :args ((forall @t16 (=> @t14 @t98)))) % 153.86/154.12 (step @p98 :rule trans :premises (@p97 @p95)) % 153.86/154.12 (step @p99 :rule eq-symm :args (@t2 @t9)) % 153.86/154.12 (step @p100 :rule refl :args (@t11)) % 153.86/154.12 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t12)) % 153.86/154.12 (step @p102 :rule cong :premises (@p101) :args (@t13)) % 153.86/154.12 (step @p103 :rule ho_cong :premises (@p66 @p102)) % 153.86/154.12 (step @p104 :rule refl :args (@t14)) % 153.86/154.12 (step @p105 :rule cong :premises (@p104 @p103) :args (@t15)) % 153.86/154.12 (step @p106 :rule cong :premises (@p105) :args (@t17)) % 153.86/154.12 (step @p107 :rule trans :premises (@p106 @p98)) % 153.86/154.12 (step @p108 :rule symm :premises (@p43)) % 153.86/154.12 (step @p109 :rule alpha_equiv :args (@t18 (@list @t9) (@list @t67))) % 153.86/154.12 (step @p110 :rule trans :premises (@p109 @p108)) % 153.86/154.12 (step @p111 :rule ho_cong :premises (@p66 @p110)) % 153.86/154.12 (step @p112 :rule nary_cong :premises (@p111 @p107) :args (@t19)) % 153.86/154.12 (step @p113 :rule cong :premises (@p112 @p67) :args (@t20)) % 153.86/154.12 (step @p114 :rule cong :premises (@p113) :args (@t22)) % 153.86/154.12 (step @p115 :rule trans :premises (@p114 @p61)) % 153.86/154.12 (step @p116 :rule refl :args (@t52)) % 153.86/154.12 (step @p117 :rule refl :args (@t23)) % 153.86/154.12 (step @p118 :rule cong :premises (@p117 @p116) :args ((= @t23 @t52))) % 153.86/154.12 (step @p119 :rule symm :premises (@p118)) % 153.86/154.12 (step @p120 :rule eq_resolve :premises (@p117 @p119)) % 153.86/154.12 (step @p121 :rule nary_cong :premises (@p51 @p41 @p120) :args (@t101)) % 153.86/154.12 (step @p122 :rule cong :premises (@p121) :args ((forall @t21 @t101))) % 153.86/154.12 (step @p123 :rule aci_norm :args ((= (or @t93 @t23) @t101))) % 153.86/154.12 (step @p124 :rule nary_cong :premises (@p55 @p117) :args ((or @t95 @t23))) % 153.86/154.12 (step @p125 :rule trans :premises (@p124 @p123)) % 153.86/154.12 (step @p126 :rule bool-impl-elim :args (@t94 @t23)) % 153.86/154.12 (step @p127 :rule trans :premises (@p126 @p125)) % 153.86/154.12 (step @p128 :rule cong :premises (@p127) :args ((forall @t21 (=> @t94 @t23)))) % 153.86/154.12 (step @p129 :rule trans :premises (@p128 @p122)) % 153.86/154.12 (step @p130 :rule refl :args (@t23)) % 153.86/154.12 (step @p131 :rule cong :premises (@p112 @p130) :args (@t24)) % 153.86/154.12 (step @p132 :rule cong :premises (@p131) :args (@t25)) % 153.86/154.12 (step @p133 :rule trans :premises (@p132 @p129)) % 153.86/154.12 (step @p134 :rule cong :premises (@p133 @p115) :args (@t26)) % 153.86/154.12 (step @p135 :rule cong :premises (@p134) :args (@t28)) % 153.86/154.12 (step @p136 :rule trans :premises (@p135 @p19)) % 153.86/154.12 (step @p137 :rule cong :premises (@p136) :args (@t29)) % 153.86/154.12 (step @p138 :rule trans :premises (@p137 @p4 @p3)) % 153.86/154.12 (step @p139 :rule eq_resolve :premises (@p1 @p138)) % 153.86/154.12 (step @p140 :rule skolemize :premises (@p139)) % 153.86/154.12 (step @p141 :rule cnf_or_neg :args (@t113 3)) % 153.86/154.12 (step @p142 :rule chain_m_resolution :premises (@p141 @p140) :args (@t114 @t115 @t116)) % 153.86/154.12 (step @p143 :rule bool-double-not-elim :args (@t107)) % 153.86/154.12 (step @p144 :rule refl :args (@t113)) % 153.86/154.12 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or @t113 (not @t108)))) % 153.86/154.12 (step @p146 :rule cnf_or_neg :args (@t113 2)) % 153.86/154.12 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 153.86/154.12 (step @p148 :rule reordering :premises (@p147) :args ((or @t107 @t113))) % 153.86/154.12 (step @p149 :rule chain_m_resolution :premises (@p148 @p140) :args (@t107 @t115 @t116)) % 153.86/154.12 (step @p150 :rule instantiate :premises (@p149) :args ((@list @t103 @t102))) % 153.86/154.12 (step @p151 :rule bool-double-not-elim :args (@t111)) % 153.86/154.12 (step @p152 :rule nary_cong :premises (@p144 @p151) :args ((or @t113 (not @t112)))) % 153.86/154.12 (step @p153 :rule cnf_or_neg :args (@t113 0)) % 153.86/154.12 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 153.86/154.12 (step @p155 :rule reordering :premises (@p154) :args ((or @t111 @t113))) % 153.86/154.12 (step @p156 :rule chain_m_resolution :premises (@p155 @p140) :args (@t111 @t115 @t116)) % 153.86/154.12 (step @p157 :rule instantiate :premises (@p156) :args ((@list @t105))) % 153.86/154.12 (step @p158 :rule bool-double-not-elim :args (@t109)) % 153.86/154.12 (step @p159 :rule nary_cong :premises (@p144 @p158) :args ((or @t113 (not @t110)))) % 153.86/154.12 (step @p160 :rule cnf_or_neg :args (@t113 1)) % 153.86/154.12 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 153.86/154.12 (step @p162 :rule reordering :premises (@p161) :args ((or @t109 @t113))) % 153.86/154.12 (step @p163 :rule chain_m_resolution :premises (@p162 @p140) :args (@t109 @t115 @t116)) % 153.86/154.12 (step @p164 :rule cnf_or_pos :args (@t118)) % 153.86/154.12 (step @p165 :rule reordering :premises (@p164) :args ((or @t110 @t108 @t117 (not @t118)))) % 153.86/154.12 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p149 @p157) :args (@t117 (@list false false false) (@list @t109 @t107 @t118))) % 153.86/154.12 (step @p167 :rule cnf_or_pos :args (@t122)) % 153.86/154.12 (step @p168 :rule reordering :premises (@p167) :args ((or @t121 @t120 (not @t122)))) % 153.86/154.12 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p150) :args (@t120 @t123 (@list @t117 @t122))) % 153.86/154.12 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 153.86/154.12 (step @p170 :rule trust :premises () :args ((forall (@list @t125 @t124) (or (not (forall @t127 (= (_ @t35 @t125 @t126) (_ @t35 @t124 @t126)))) (= @t125 @t124))))) % 153.86/154.12 (step @p171 :rule instantiate :premises (@p170) :args ((@list @t105 @t141))) % 153.86/154.12 (step @p172 :rule cnf_equiv_neg2 :args (@t146)) % 153.86/154.12 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 153.86/154.12 (step @p173 :rule trust :premises () :args (@t150)) % 153.86/154.12 (step @p174 :rule instantiate :premises (@p173) :args ((@list @t137 @t109 @t40))) % 153.86/154.12 (step @p175 :rule refl :args (@t152)) % 153.86/154.12 (step @p176 :rule bool-double-not-elim :args (@t140)) % 153.86/154.12 (step @p177 :rule nary_cong :premises (@p176 @p175) :args ((or (not @t153) @t152))) % 153.86/154.12 (step @p178 :rule eq-symm :args (@t151 @t139)) % 153.86/154.12 (step @p179 :rule cong :premises (@p178) :args (@t154)) % 153.86/154.12 (step @p180 :rule bool-double-not-elim :args (@t154)) % 153.86/154.12 (step @p181 :rule trans :premises (@p180 @p179)) % 153.86/154.12 (step @p182 :rule refl :args (@t153)) % 153.86/154.12 (step @p183 :rule cong :premises (@p182 @p181) :args ((=> @t153 @t155))) % 153.86/154.12 (assume-push @p389 @t153) % 153.86/154.12 (step @p185 :rule skolemize :premises (@p174)) % 153.86/154.12 (step-pop @p390 :rule scope :premises (@p185)) % 153.86/154.12 (step @p186 :rule process_scope :premises (@p390) :args (@t155)) % 153.86/154.12 (step @p188 :rule eq_resolve :premises (@p186 @p183)) % 153.86/154.12 (step @p189 :rule implies_elim :premises (@p188)) % 153.86/154.12 (step @p190 :rule eq_resolve :premises (@p189 @p177)) % 153.86/154.12 (step @p191 :rule chain_m_resolution :premises (@p190 @p174) :args (@t152 @t115 (@list @t140))) % 153.86/154.12 (step @p192 :rule eq-symm :args (@t158 @t144)) % 153.86/154.12 (step @p193 :rule cong :premises (@p175 @p192) :args ((=> @t152 @t159))) % 153.86/154.12 (assume-push @p391 @t152) % 153.86/154.12 (step @p195 :rule instantiate :premises (@p191) :args (@t160)) % 153.86/154.12 (step-pop @p392 :rule scope :premises (@p195)) % 153.86/154.12 (step @p196 :rule process_scope :premises (@p392) :args (@t159)) % 153.86/154.12 (step @p198 :rule eq_resolve :premises (@p196 @p193)) % 153.86/154.12 (step @p199 :rule implies_elim :premises (@p198)) % 153.86/154.12 (step @p200 :rule chain_m_resolution :premises (@p199 @p191) :args (@t161 @t162 (@list @t152))) % 153.86/154.12 (step @p201 :rule cnf_equiv_pos2 :args (@t161)) % 153.86/154.12 (step @p202 :rule reordering :premises (@p201) :args ((or @t144 @t164 @t163))) % 153.86/154.12 (step @p203 :rule cnf_ite_neg3 :args (@t158)) % 153.86/154.12 (step @p204 :rule reordering :premises (@p203) :args ((or @t110 @t158 @t165))) % 153.86/154.12 (step @p205 :rule cnf_ite_neg1 :args (@t158)) % 153.86/154.12 (step @p206 :rule reordering :premises (@p205) :args ((or @t110 @t166 @t158))) % 153.86/154.12 (step @p207 :rule ite-then-false :args (@t130 @t129)) % 153.86/154.12 (step @p208 :rule refl :args (@t133)) % 153.86/154.12 (step @p209 :rule cong :premises (@p208 @p207) :args (@t167)) % 153.86/154.12 (step @p210 :rule cong :premises (@p209) :args (@t168)) % 153.86/154.12 (step @p211 :rule cong :premises (@p210) :args (@t169)) % 153.86/154.12 (step @p212 :rule cong :premises (@p211) :args (@t170)) % 153.86/154.12 (step @p213 :rule cong :premises (@p212) :args (@t171)) % 153.86/154.12 (step @p214 :rule refl :args (@t150)) % 153.86/154.12 (step @p215 :rule cong :premises (@p214 @p213) :args ((=> @t150 @t171))) % 153.86/154.12 (assume-push @p393 @t150) % 153.86/154.12 (step @p217 :rule instantiate :premises (@p173) :args ((@list @t105 false @t40))) % 153.86/154.12 (step-pop @p394 :rule scope :premises (@p217)) % 153.86/154.12 (step @p218 :rule process_scope :premises (@p394) :args (@t171)) % 153.86/154.12 (step @p220 :rule eq_resolve :premises (@p218 @p215)) % 153.86/154.12 (step @p221 :rule implies_elim :premises (@p220)) % 153.86/154.12 (step @p222 :rule chain_m_resolution :premises (@p221 @p173) :args (@t172 @t162 (@list @t150))) % 153.86/154.12 (step @p223 :rule refl :args (@t173)) % 153.86/154.12 (step @p224 :rule bool-double-not-elim :args (@t136)) % 153.86/154.12 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or (not @t172) @t173))) % 153.86/154.12 (step @p226 :rule eq-symm :args (@t138 @t131)) % 153.86/154.12 (step @p227 :rule cong :premises (@p226) :args (@t174)) % 153.86/154.12 (step @p228 :rule bool-double-not-elim :args (@t174)) % 153.86/154.12 (step @p229 :rule trans :premises (@p228 @p227)) % 153.86/154.12 (step @p230 :rule refl :args (@t172)) % 153.86/154.12 (step @p231 :rule cong :premises (@p230 @p229) :args ((=> @t172 @t175))) % 153.86/154.12 (assume-push @p395 @t172) % 153.86/154.12 (step @p233 :rule skolemize :premises (@p222)) % 153.86/154.12 (step-pop @p396 :rule scope :premises (@p233)) % 153.86/154.12 (step @p234 :rule process_scope :premises (@p396) :args (@t175)) % 153.86/154.12 (step @p236 :rule eq_resolve :premises (@p234 @p231)) % 153.86/154.12 (step @p237 :rule implies_elim :premises (@p236)) % 153.86/154.12 (step @p238 :rule eq_resolve :premises (@p237 @p225)) % 153.86/154.12 (step @p239 :rule chain_m_resolution :premises (@p238 @p222) :args (@t173 @t115 (@list @t136))) % 153.86/154.12 (step @p240 :rule instantiate :premises (@p239) :args (@t160)) % 153.86/154.12 (step @p241 :rule cnf_equiv_pos1 :args (@t177)) % 153.86/154.12 (step @p242 :rule reordering :premises (@p241) :args ((or @t156 @t179 @t178))) % 153.86/154.12 (step @p243 :rule refl :args (@t180)) % 153.86/154.12 (step @p244 :rule bool-double-not-elim :args (@t157)) % 153.86/154.12 (step @p245 :rule refl :args (@t176)) % 153.86/154.12 (step @p246 :rule nary_cong :premises (@p245 @p244 @p243) :args ((or @t176 (not @t166) @t180))) % 153.86/154.12 (step @p247 :rule cnf_and_neg :args (@t176)) % 153.86/154.12 (step @p248 :rule eq_resolve :premises (@p247 @p246)) % 153.86/154.12 (step @p249 :rule reordering :premises (@p248) :args ((or @t180 @t157 @t176))) % 153.86/154.12 (step @p250 :rule chain_m_resolution :premises (@p249 @p242 @p240 @p206 @p163 @p204 @p163 @p202 @p200 @p172) :args ((or @t146 @t180) (@list true false true false true false true false true) (@list @t176 @t177 @t157 @t109 @t156 @t109 @t158 @t161 @t144))) % 153.86/154.12 (step @p251 :rule cnf_equiv_neg1 :args (@t146)) % 153.86/154.12 (step @p252 :rule reordering :premises (@p251) :args ((or @t145 @t144 @t146))) % 153.86/154.12 (step @p253 :rule cnf_and_pos :args (@t176 1)) % 153.86/154.12 (step @p254 :rule reordering :premises (@p253) :args ((or @t145 @t179))) % 153.86/154.12 (step @p255 :rule cnf_equiv_pos1 :args (@t161)) % 153.86/154.12 (step @p256 :rule reordering :premises (@p255) :args ((or (not @t144) @t158 @t163))) % 153.86/154.12 (step @p257 :rule cnf_equiv_pos2 :args (@t177)) % 153.86/154.12 (step @p258 :rule reordering :premises (@p257) :args ((or @t176 @t165 @t178))) % 153.86/154.12 (step @p259 :rule cnf_ite_pos2 :args (@t158)) % 153.86/154.12 (step @p260 :rule reordering :premises (@p259) :args ((or @t157 @t156 @t164))) % 153.86/154.12 (step @p261 :rule refl :args (@t166)) % 153.86/154.12 (step @p262 :rule bool-double-not-elim :args (@t145)) % 153.86/154.12 (step @p263 :rule refl :args (@t110)) % 153.86/154.12 (step @p264 :rule nary_cong :premises (@p263 @p262 @p261) :args ((or @t110 (not @t180) @t166))) % 153.86/154.12 (assume-push @p397 @t109) % 153.86/154.12 (assume-push @p398 @t157) % 153.86/154.12 (assume-push @p399 @t180) % 153.86/154.12 (step @p268 :rule evaluate :args ((= false true))) % 153.86/154.12 (step @p269 :rule true_intro :premises (@p163)) % 153.86/154.12 (step @p270 :rule symm :premises (@p398)) % 153.86/154.12 (step @p271 :rule refl :args (@t105)) % 153.86/154.12 (step @p272 :rule cong :premises (@p271 @p270) :args (@t145)) % 153.86/154.12 (step @p273 :rule false_intro :premises (@p399)) % 153.86/154.12 (step @p274 :rule symm :premises (@p273)) % 153.86/154.12 (step @p275 :rule trans :premises (@p274 @p272 @p269)) % 153.86/154.12 (step @p276 false :rule eq_resolve :premises (@p275 @p268)) % 153.86/154.12 (step-pop @p400 :rule scope :premises (@p276)) % 153.86/154.12 (step-pop @p401 :rule scope :premises (@p400)) % 153.86/154.12 (step-pop @p402 :rule scope :premises (@p401)) % 153.86/154.12 (step @p277 :rule process_scope :premises (@p402) :args (false)) % 153.86/154.12 (assume-push @p403 @t109) % 153.86/154.12 (assume-push @p404 @t180) % 153.86/154.12 (assume-push @p405 @t157) % 153.86/154.12 (step @p284 :rule and_intro :premises (@p163 @p405 @p404)) % 153.86/154.12 (step-pop @p406 :rule scope :premises (@p284)) % 153.86/154.12 (step-pop @p407 :rule scope :premises (@p406)) % 153.86/154.12 (step-pop @p408 :rule scope :premises (@p407)) % 153.86/154.12 (step @p285 :rule process_scope :premises (@p408) :args (@t181)) % 153.86/154.12 (step @p289 :rule implies_elim :premises (@p285)) % 153.86/154.12 (step @p290 :rule resolution :premises (@p289 @p277) :args (true @t181)) % 153.86/154.12 (step @p291 :rule not_and :premises (@p290)) % 153.86/154.12 (step @p292 :rule eq_resolve :premises (@p291 @p264)) % 153.86/154.12 (step @p293 :rule chain_m_resolution :premises (@p292 @p163 @p260 @p258 @p240 @p256 @p200 @p254 @p252 @p250) :args (@t146 (@list false false true false false false true false true) (@list @t109 @t157 @t156 @t177 @t158 @t161 @t176 @t144 @t145))) % 153.86/154.12 (step @p294 :rule refl :args (@t182)) % 153.86/154.12 (step @p295 :rule bool-double-not-elim :args (@t142)) % 153.86/154.12 (step @p296 :rule nary_cong :premises (@p295 @p294) :args ((or (not @t183) @t182))) % 153.86/154.12 (assume-push @p409 @t183) % 153.86/154.12 (step @p298 :rule skolemize :premises (@p409)) % 153.86/154.12 (step-pop @p410 :rule scope :premises (@p298)) % 153.86/154.12 (step @p299 :rule process_scope :premises (@p410) :args (@t182)) % 153.86/154.12 (step @p301 :rule implies_elim :premises (@p299)) % 153.86/154.12 (step @p302 :rule eq_resolve :premises (@p301 @p296)) % 153.86/154.12 (step @p303 :rule chain_m_resolution :premises (@p302 @p293) :args (@t142 @t162 (@list @t146))) % 153.86/154.12 (step @p304 :rule cnf_or_pos :args (@t185)) % 153.86/154.12 (step @p305 :rule reordering :premises (@p304) :args ((or @t183 @t184 (not @t185)))) % 153.86/154.12 (step @p306 :rule chain_m_resolution :premises (@p305 @p303 @p171) :args (@t184 @t123 (@list @t142 @t185))) % 153.86/154.12 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 153.86/154.12 (step @p307 :rule trust :premises () :args ((forall (@list @t187 @t186) (or (not (forall @t190 (= (_ @t189 @t187 @t188) (_ @t189 @t186 @t188)))) (= @t187 @t186))))) % 153.86/154.12 (step @p308 :rule instantiate :premises (@p307) :args ((@list @t104 @t119))) % 153.86/154.12 (step @p309 :rule cnf_equiv_neg2 :args (@t195)) % 153.86/154.12 (step @p310 :rule eq-symm :args (@t200 @t201)) % 153.86/154.12 (step @p311 :rule cong :premises (@p310) :args (@t202)) % 153.86/154.12 ; trust TRUST PREPROCESS_HO_ELIM % 153.86/154.12 (step @p312 :rule trust :premises () :args ((= @t204 @t202))) % 153.86/154.12 (step @p313 :rule trans :premises (@p312 @p311)) % 153.86/154.12 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 153.86/154.12 (step @p314 :rule trust :premises () :args (@t204)) % 153.86/154.12 (step @p315 :rule eq_resolve :premises (@p314 @p313)) % 153.86/154.12 (step @p316 :rule instantiate :premises (@p315) :args (@t205)) % 153.86/154.12 (step @p317 :rule cnf_equiv_pos1 :args (@t207)) % 153.86/154.12 (step @p318 :rule reordering :premises (@p317) :args ((or @t209 @t206 @t208))) % 153.86/154.12 (step @p319 :rule eq-symm :args (@t214 @t215)) % 153.86/154.12 (step @p320 :rule cong :premises (@p319) :args (@t216)) % 153.86/154.12 ; trust TRUST PREPROCESS_HO_ELIM % 153.86/154.12 (step @p321 :rule trust :premises () :args ((= @t218 @t216))) % 153.86/154.12 (step @p322 :rule trans :premises (@p321 @p320)) % 153.86/154.12 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 153.86/154.12 (step @p323 :rule trust :premises () :args (@t218)) % 153.86/154.12 (step @p324 :rule eq_resolve :premises (@p323 @p322)) % 153.86/154.12 (step @p325 :rule instantiate :premises (@p324) :args (@t205)) % 153.86/154.12 (step @p326 :rule cnf_equiv_pos2 :args (@t219)) % 153.86/154.12 (step @p327 :rule reordering :premises (@p326) :args ((or @t193 @t221 @t220))) % 153.86/154.12 (step @p328 :rule chain_m_resolution :premises (@p327 @p325 @p318 @p316 @p309) :args ((or @t195 @t209) @t222 (@list @t219 @t206 @t207 @t193))) % 153.86/154.12 (step @p329 :rule cnf_equiv_neg1 :args (@t195)) % 153.86/154.12 (step @p330 :rule reordering :premises (@p329) :args ((or @t194 @t193 @t195))) % 153.86/154.12 (step @p331 :rule cnf_equiv_pos2 :args (@t207)) % 153.86/154.12 (step @p332 :rule reordering :premises (@p331) :args ((or @t194 @t221 @t208))) % 153.86/154.12 (step @p333 :rule cnf_equiv_pos1 :args (@t219)) % 153.86/154.12 (step @p334 :rule reordering :premises (@p333) :args ((or (not @t193) @t206 @t220))) % 153.86/154.12 (step @p335 :rule chain_m_resolution :premises (@p334 @p325 @p332 @p316 @p330 @p328) :args (@t195 (@list false true false false true) (@list @t219 @t206 @t207 @t193 @t194))) % 153.86/154.12 (step @p336 :rule refl :args (@t223)) % 153.86/154.12 (step @p337 :rule bool-double-not-elim :args (@t191)) % 153.86/154.12 (step @p338 :rule nary_cong :premises (@p337 @p336) :args ((or (not @t224) @t223))) % 153.86/154.12 (assume-push @p411 @t224) % 153.86/154.12 (step @p340 :rule skolemize :premises (@p411)) % 153.86/154.12 (step-pop @p412 :rule scope :premises (@p340)) % 153.86/154.12 (step @p341 :rule process_scope :premises (@p412) :args (@t223)) % 153.86/154.12 (step @p343 :rule implies_elim :premises (@p341)) % 153.86/154.12 (step @p344 :rule eq_resolve :premises (@p343 @p338)) % 153.86/154.12 (step @p345 :rule chain_m_resolution :premises (@p344 @p335) :args (@t191 @t162 (@list @t195))) % 153.86/154.12 (step @p346 :rule cnf_or_pos :args (@t226)) % 153.86/154.12 (step @p347 :rule reordering :premises (@p346) :args ((or @t225 @t224 (not @t226)))) % 153.86/154.12 (step @p348 :rule chain_m_resolution :premises (@p347 @p345 @p308) :args (@t225 @t123 (@list @t191 @t226))) % 153.86/154.12 (step @p349 :rule refl :args (@t227)) % 153.86/154.12 (step @p350 :rule refl :args (@t228)) % 153.86/154.12 (step @p351 :rule refl :args (@t229)) % 153.86/154.12 (step @p352 :rule bool-double-not-elim :args (@t106)) % 153.86/154.12 (step @p353 :rule nary_cong :premises (@p352 @p351 @p350 @p349) :args ((or (not @t114) @t229 @t228 @t227))) % 153.86/154.12 (assume-push @p413 @t114) % 153.86/154.12 (assume-push @p414 @t184) % 153.86/154.12 (assume-push @p415 @t225) % 153.86/154.12 (assume-push @p416 @t120) % 153.86/154.12 (step @p358 :rule evaluate :args ((= true false))) % 153.86/154.12 (step @p359 :rule false_intro :premises (@p142)) % 153.86/154.12 (step @p360 :rule symm :premises (@p415)) % 153.86/154.12 (step @p361 :rule symm :premises (@p414)) % 153.86/154.12 (step @p362 :rule cong :premises (@p361 @p360) :args ((_ @t35 @t141 @t119))) % 153.86/154.12 (step @p363 :rule refl :args (@t119)) % 153.86/154.12 (step @p364 :rule cong :premises (@p414 @p363) :args (@t120)) % 153.86/154.12 (step @p365 :rule true_intro :premises (@p169)) % 153.86/154.12 (step @p366 :rule symm :premises (@p365)) % 153.86/154.12 (step @p367 :rule trans :premises (@p366 @p364 @p362 @p359)) % 153.86/154.12 (step @p368 false :rule eq_resolve :premises (@p367 @p358)) % 153.86/154.12 (step-pop @p417 :rule scope :premises (@p368)) % 153.86/154.12 (step-pop @p418 :rule scope :premises (@p417)) % 153.86/154.12 (step-pop @p419 :rule scope :premises (@p418)) % 153.86/154.12 (step-pop @p420 :rule scope :premises (@p419)) % 153.86/154.12 (step @p369 :rule process_scope :premises (@p420) :args (false)) % 153.86/154.12 (assume-push @p421 @t114) % 153.86/154.12 (assume-push @p422 @t120) % 153.86/154.12 (assume-push @p423 @t184) % 153.86/154.12 (assume-push @p424 @t225) % 153.86/154.12 (step @p378 :rule and_intro :premises (@p142 @p423 @p424 @p169)) % 153.86/154.12 (step-pop @p425 :rule scope :premises (@p378)) % 153.86/154.12 (step-pop @p426 :rule scope :premises (@p425)) % 153.86/154.12 (step-pop @p427 :rule scope :premises (@p426)) % 153.86/154.12 (step-pop @p428 :rule scope :premises (@p427)) % 153.86/154.12 (step @p379 :rule process_scope :premises (@p428) :args (@t230)) % 153.86/154.12 (step @p384 :rule implies_elim :premises (@p379)) % 153.86/154.12 (step @p385 :rule resolution :premises (@p384 @p369) :args (true @t230)) % 153.86/154.12 (step @p386 :rule not_and :premises (@p385)) % 153.86/154.12 (step @p387 :rule eq_resolve :premises (@p386 @p353)) % 153.86/154.12 (step @p388 false :rule chain_m_resolution :premises (@p387 @p348 @p306 @p169 @p142) :args (false @t222 (@list @t225 @t184 @t120 @t106))) % 153.86/154.12 ) % 153.86/154.12 % SZS output end Proof % 153.86/154.12 % cvc5 exiting %------------------------------------------------------------------------------