%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU705^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:52:48 AM UTC 2026 % Result : Theorem 2.33s 2.58s % Output : Proof 2.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU705^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n028.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 17:47:50 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 2.33/2.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 2.33/2.58 % SZS status Theorem % 2.33/2.58 % SZS output start Proof % 2.33/2.58 ( % 2.33/2.58 (declare-sort $$unsorted 0) % 2.33/2.58 (declare-const tptp.emptyset $$unsorted) % 2.33/2.58 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 2.33/2.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 2.33/2.58 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 2.33/2.58 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 2.33/2.58 (declare-const tptp.ifSingleton Bool) % 2.33/2.58 (declare-const tptp.theprop Bool) % 2.33/2.58 (declare-const tptp.sepSubset Bool) % 2.33/2.58 (declare-const tptp.subsetE Bool) % 2.33/2.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 2.33/2.58 (define tptp.singleton () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_2) (= _let_2 (_ (_ tptp.setadjoin _let_1) tptp.emptyset)))))))) % 2.33/2.58 (define tptp.if () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xz" $$unsorted))) (let ((_let_3 (@var "Xphi" Bool))) (let ((_let_4 (@var "Xx" $$unsorted))) (let ((_let_5 (@var "A" $$unsorted))) (lambda (@list _let_5 _let_3 _let_4 _let_1) (_ tptp.setunion (_ (_ tptp.dsetconstr _let_5) (lambda (@list _let_2) (or (and _let_3 (= _let_2 _let_4)) (and (not _let_3) (= _let_2 _let_1))))))))))))) % 2.33/2.58 (define @t1 () (@var "B" $$unsorted)) % 2.33/2.58 (define @t2 () (@var "Xx" $$unsorted)) % 2.33/2.58 (define @t3 () (_ tptp.in @t2)) % 2.33/2.58 (define @t4 () (_ @t3 @t1)) % 2.33/2.58 (define @t5 () (@var "A" $$unsorted)) % 2.33/2.58 (define @t6 () (_ @t3 @t5)) % 2.33/2.58 (define @t7 () (=> @t6 @t4)) % 2.33/2.58 (define @t8 () (_ (_ tptp.subset @t5) @t1)) % 2.33/2.58 (define @t9 () (@list @t5 @t1 @t2)) % 2.33/2.58 (define @t10 () (forall @t9 (=> @t8 @t7))) % 2.33/2.58 (define @t11 () (= tptp.subsetE @t10)) % 2.33/2.58 (define @t12 () (@var "Xphi" (-> $$unsorted Bool))) % 2.33/2.58 (define @t13 () (_ @t12 @t2)) % 2.33/2.58 (define @t14 () (@list @t2)) % 2.33/2.58 (define @t15 () (lambda @t14 @t13)) % 2.33/2.58 (define @t16 () (_ tptp.dsetconstr @t5)) % 2.33/2.58 (define @t17 () (_ @t16 @t15)) % 2.33/2.58 (define @t18 () (_ (_ tptp.subset @t17) @t5)) % 2.33/2.58 (define @t19 () (@list @t5 @t12)) % 2.33/2.58 (define @t20 () (forall @t19 @t18)) % 2.33/2.58 (define @t21 () (= tptp.sepSubset @t20)) % 2.33/2.58 (define @t22 () (@var "X" $$unsorted)) % 2.33/2.58 (define @t23 () (_ tptp.setunion @t22)) % 2.33/2.58 (define @t24 () (_ (_ tptp.in @t23) @t22)) % 2.33/2.58 (define @t25 () (=> (_ tptp.singleton @t22) @t24)) % 2.33/2.58 (define @t26 () (@list @t22)) % 2.33/2.58 (define @t27 () (forall @t26 @t25)) % 2.33/2.58 (define @t28 () (= tptp.theprop @t27)) % 2.33/2.58 (define @t29 () (@var "Xy" $$unsorted)) % 2.33/2.58 (define @t30 () (@var "Xz" $$unsorted)) % 2.33/2.58 (define @t31 () (@var "Xphi" Bool)) % 2.33/2.58 (define @t32 () (not @t31)) % 2.33/2.58 (define @t33 () (and @t32 (= @t30 @t29))) % 2.33/2.58 (define @t34 () (and @t31 (= @t30 @t2))) % 2.33/2.58 (define @t35 () (or @t34 @t33)) % 2.33/2.58 (define @t36 () (@list @t30)) % 2.33/2.58 (define @t37 () (lambda @t36 @t35)) % 2.33/2.58 (define @t38 () (_ @t16 @t37)) % 2.33/2.58 (define @t39 () (_ (_ tptp.in @t29) @t5)) % 2.33/2.58 (define @t40 () (=> @t39 (_ tptp.singleton @t38))) % 2.33/2.58 (define @t41 () (@list @t29)) % 2.33/2.58 (define @t42 () (forall @t41 @t40)) % 2.33/2.58 (define @t43 () (=> @t6 @t42)) % 2.33/2.58 (define @t44 () (@list @t5 @t31 @t2)) % 2.33/2.58 (define @t45 () (forall @t44 @t43)) % 2.33/2.58 (define @t46 () (= tptp.ifSingleton @t45)) % 2.33/2.58 (define @t47 () (=> @t39 (_ (_ tptp.in (_ (_ (_ (_ tptp.if @t5) @t31) @t2) @t29)) @t5))) % 2.33/2.58 (define @t48 () (forall @t41 @t47)) % 2.33/2.58 (define @t49 () (=> @t6 @t48)) % 2.33/2.58 (define @t50 () (forall @t44 @t49)) % 2.33/2.58 (define @t51 () (=> tptp.ifSingleton @t50)) % 2.33/2.58 (define @t52 () (=> tptp.theprop @t51)) % 2.33/2.58 (define @t53 () (=> tptp.sepSubset @t52)) % 2.33/2.58 (define @t54 () (=> tptp.subsetE @t53)) % 2.33/2.58 (define @t55 () (not @t54)) % 2.33/2.58 (define @t56 () (_ (_ tptp.setadjoin @t2) tptp.emptyset)) % 2.33/2.58 (define @t57 () (= @t5 @t56)) % 2.33/2.58 (define @t58 () (and @t6 @t57)) % 2.33/2.58 (define @t59 () (exists @t14 @t58)) % 2.33/2.58 (define @t60 () (@list @t5)) % 2.33/2.58 (define @t61 () (lambda @t60 @t59)) % 2.33/2.58 (define @t62 () (@list @t5 @t31 @t2 @t29)) % 2.33/2.58 (define @t63 () (lambda @t62 (_ tptp.setunion @t38))) % 2.33/2.58 (define @t64 () (@var "BOUND_VARIABLE_7764" $$unsorted)) % 2.33/2.58 (define @t65 () (and @t31 (= @t2 @t30))) % 2.33/2.58 (define @t66 () (not (tptp.in @t64 @t5))) % 2.33/2.58 (define @t67 () (tptp.in @t2 @t5)) % 2.33/2.58 (define @t68 () (not @t67)) % 2.33/2.58 (define @t69 () (@list @t5 @t31 @t2 @t64)) % 2.33/2.58 (define @t70 () (forall @t69 (or @t68 @t66 (tptp.in (tptp.setunion (tptp.dsetconstr @t5 (lambda @t36 (or @t65 (and @t32 (= @t30 @t64)))))) @t5)))) % 2.33/2.58 (define @t71 () (@var "BOUND_VARIABLE_7683" $$unsorted)) % 2.33/2.58 (define @t72 () (and @t32 (= @t71 @t30))) % 2.33/2.58 (define @t73 () (or @t65 @t72)) % 2.33/2.58 (define @t74 () (lambda @t36 @t73)) % 2.33/2.58 (define @t75 () (tptp.dsetconstr @t5 @t74)) % 2.33/2.58 (define @t76 () (@var "BOUND_VARIABLE_7636" $$unsorted)) % 2.33/2.58 (define @t77 () (tptp.setadjoin @t76 tptp.emptyset)) % 2.33/2.58 (define @t78 () (= @t77 @t75)) % 2.33/2.58 (define @t79 () (not @t78)) % 2.33/2.58 (define @t80 () (tptp.in @t76 @t75)) % 2.33/2.58 (define @t81 () (not @t80)) % 2.33/2.58 (define @t82 () (or @t81 @t79)) % 2.33/2.58 (define @t83 () (@list @t76)) % 2.33/2.58 (define @t84 () (forall @t83 @t82)) % 2.33/2.58 (define @t85 () (not @t84)) % 2.33/2.58 (define @t86 () (not (tptp.in @t71 @t5))) % 2.33/2.58 (define @t87 () (or @t68 @t86 @t85)) % 2.33/2.58 (define @t88 () (or @t86 @t85)) % 2.33/2.58 (define @t89 () (or @t68 @t88)) % 2.33/2.58 (define @t90 () (@list @t5 @t31 @t2 @t71)) % 2.33/2.58 (define @t91 () (forall @t90 @t89)) % 2.33/2.58 (define @t92 () (@list @t71)) % 2.33/2.58 (define @t93 () (forall @t92 @t89)) % 2.33/2.58 (define @t94 () (forall @t92 @t88)) % 2.33/2.58 (define @t95 () (@list @t29)) % 2.33/2.58 (define @t96 () (or @t68 @t94)) % 2.33/2.58 (define @t97 () (lambda @t36 (or @t65 (and @t32 (= @t29 @t30))))) % 2.33/2.58 (define @t98 () (tptp.dsetconstr @t5 @t97)) % 2.33/2.58 (define @t99 () (not (tptp.in @t76 @t98))) % 2.33/2.58 (define @t100 () (not (forall @t83 (or @t99 (not (= @t77 @t98)))))) % 2.33/2.58 (define @t101 () (tptp.in @t29 @t5)) % 2.33/2.58 (define @t102 () (not @t101)) % 2.33/2.58 (define @t103 () (forall @t41 (or @t102 @t100))) % 2.33/2.58 (define @t104 () (not @t6)) % 2.33/2.58 (define @t105 () (or @t104 @t103)) % 2.33/2.58 (define @t106 () (not @t39)) % 2.33/2.58 (define @t107 () (or @t106 @t100)) % 2.33/2.58 (define @t108 () (not (= @t98 @t77))) % 2.33/2.58 (define @t109 () (or @t99 @t108)) % 2.33/2.58 (define @t110 () (_ @t16 @t97)) % 2.33/2.58 (define @t111 () (= @t110 @t77)) % 2.33/2.58 (define @t112 () (not @t111)) % 2.33/2.58 (define @t113 () (tptp.in @t76 @t110)) % 2.33/2.58 (define @t114 () (not @t113)) % 2.33/2.58 (define @t115 () (or @t114 @t112)) % 2.33/2.58 (define @t116 () (forall @t83 @t115)) % 2.33/2.58 (define @t117 () (not @t116)) % 2.33/2.58 (define @t118 () (tptp.setadjoin @t2 tptp.emptyset)) % 2.33/2.58 (define @t119 () (forall @t14 (or @t68 (not (= @t5 @t118))))) % 2.33/2.58 (define @t120 () (@list @t2)) % 2.33/2.58 (define @t121 () (not @t119)) % 2.33/2.58 (define @t122 () (lambda @t60 @t121)) % 2.33/2.58 (define @t123 () (=> @t39 (_ @t122 @t38))) % 2.33/2.58 (define @t124 () (forall @t41 @t123)) % 2.33/2.58 (define @t125 () (=> @t6 @t124)) % 2.33/2.58 (define @t126 () (forall @t44 @t125)) % 2.33/2.58 (define @t127 () (not @t57)) % 2.33/2.58 (define @t128 () (or @t104 @t127)) % 2.33/2.58 (define @t129 () (forall @t14 (not @t58))) % 2.33/2.58 (define @t130 () (not @t129)) % 2.33/2.58 (define @t131 () (=> tptp.ifSingleton @t70)) % 2.33/2.58 (define @t132 () (@var "BOUND_VARIABLE_7599" $$unsorted)) % 2.33/2.58 (define @t133 () (tptp.setadjoin @t132 tptp.emptyset)) % 2.33/2.58 (define @t134 () (not (tptp.in @t132 @t133))) % 2.33/2.58 (define @t135 () (tptp.in (tptp.setunion @t133) @t133)) % 2.33/2.58 (define @t136 () (or @t135 @t134)) % 2.33/2.58 (define @t137 () (not (= @t133 @t133))) % 2.33/2.58 (define @t138 () (or @t135 @t134 @t137)) % 2.33/2.58 (define @t139 () (@list @t132)) % 2.33/2.58 (define @t140 () (not (= @t22 @t133))) % 2.33/2.58 (define @t141 () (not (tptp.in @t132 @t22))) % 2.33/2.58 (define @t142 () (tptp.setunion @t22)) % 2.33/2.58 (define @t143 () (tptp.in @t142 @t22)) % 2.33/2.58 (define @t144 () (or @t140 @t143 @t141 @t140)) % 2.33/2.58 (define @t145 () (or @t143 @t141 @t140)) % 2.33/2.58 (define @t146 () (forall @t26 @t145)) % 2.33/2.58 (define @t147 () (forall @t139 @t146)) % 2.33/2.58 (define @t148 () (forall (@list @t132 @t22) @t145)) % 2.33/2.58 (define @t149 () (@list @t22 @t132)) % 2.33/2.58 (define @t150 () (not (= @t133 @t22))) % 2.33/2.58 (define @t151 () (or @t143 @t141 @t150)) % 2.33/2.58 (define @t152 () (or @t141 @t150)) % 2.33/2.58 (define @t153 () (or @t152 @t143)) % 2.33/2.58 (define @t154 () (forall @t149 @t153)) % 2.33/2.58 (define @t155 () (forall @t139 @t153)) % 2.33/2.58 (define @t156 () (forall @t139 @t152)) % 2.33/2.58 (define @t157 () (or @t156 @t143)) % 2.33/2.58 (define @t158 () (not (tptp.in @t2 @t22))) % 2.33/2.58 (define @t159 () (forall @t14 (or @t158 (not (= @t118 @t22))))) % 2.33/2.58 (define @t160 () (or @t159 @t24)) % 2.33/2.58 (define @t161 () (not @t159)) % 2.33/2.58 (define @t162 () (not (= @t22 @t118))) % 2.33/2.58 (define @t163 () (or @t158 @t162)) % 2.33/2.58 (define @t164 () (forall @t14 @t163)) % 2.33/2.58 (define @t165 () (not @t164)) % 2.33/2.58 (define @t166 () (_ @t122 @t22)) % 2.33/2.58 (define @t167 () (=> @t166 @t24)) % 2.33/2.58 (define @t168 () (forall @t26 @t167)) % 2.33/2.58 (define @t169 () (=> tptp.theprop @t131)) % 2.33/2.58 (define @t170 () (_ @t12 @t2)) % 2.33/2.58 (define @t171 () (lambda @t14 @t170)) % 2.33/2.58 (define @t172 () (tptp.dsetconstr @t5 @t171)) % 2.33/2.58 (define @t173 () (tptp.subset @t172 @t5)) % 2.33/2.58 (define @t174 () (=> tptp.sepSubset @t169)) % 2.33/2.58 (define @t175 () (tptp.in @t2 @t1)) % 2.33/2.58 (define @t176 () (tptp.subset @t5 @t1)) % 2.33/2.58 (define @t177 () (not @t8)) % 2.33/2.58 (define @t178 () (or @t177 @t104 @t4)) % 2.33/2.58 (define @t179 () (=> tptp.subsetE @t174)) % 2.33/2.58 (define @t180 () (and @t32 (= @t64 @t30))) % 2.33/2.58 (define @t181 () (or @t65 @t180)) % 2.33/2.58 (define @t182 () (lambda @t36 @t181)) % 2.33/2.58 (define @t183 () (tptp.dsetconstr @t5 @t182)) % 2.33/2.58 (define @t184 () (tptp.setunion @t183)) % 2.33/2.58 (define @t185 () (tptp.in @t184 @t5)) % 2.33/2.58 (define @t186 () (or @t68 @t66 @t185)) % 2.33/2.58 (define @t187 () (or @t66 @t185)) % 2.33/2.58 (define @t188 () (or @t68 @t187)) % 2.33/2.58 (define @t189 () (forall @t69 @t188)) % 2.33/2.58 (define @t190 () (@list @t64)) % 2.33/2.58 (define @t191 () (forall @t190 @t188)) % 2.33/2.58 (define @t192 () (forall @t190 @t187)) % 2.33/2.58 (define @t193 () (or @t68 @t192)) % 2.33/2.58 (define @t194 () (tptp.setunion @t98)) % 2.33/2.58 (define @t195 () (tptp.in @t194 @t5)) % 2.33/2.58 (define @t196 () (forall @t41 (or @t102 @t195))) % 2.33/2.58 (define @t197 () (or @t104 @t196)) % 2.33/2.58 (define @t198 () (_ tptp.setunion @t110)) % 2.33/2.58 (define @t199 () (_ (_ tptp.in @t198) @t5)) % 2.33/2.58 (define @t200 () (or @t106 @t199)) % 2.33/2.58 (define @t201 () (lambda @t41 @t198)) % 2.33/2.58 (define @t202 () (lambda (@list @t2 @t29) @t198)) % 2.33/2.58 (define @t203 () (lambda (@list @t31 @t2 @t29) @t198)) % 2.33/2.58 (define @t204 () (_ (lambda @t62 @t198) @t5)) % 2.33/2.58 (define @t205 () (=> @t39 (_ (_ tptp.in (_ (_ (_ @t204 @t31) @t2) @t29)) @t5))) % 2.33/2.58 (define @t206 () (forall @t41 @t205)) % 2.33/2.58 (define @t207 () (=> @t6 @t206)) % 2.33/2.58 (define @t208 () (forall @t44 @t207)) % 2.33/2.58 (define @t209 () (=> tptp.ifSingleton @t208)) % 2.33/2.58 (define @t210 () (=> tptp.theprop @t209)) % 2.33/2.58 (define @t211 () (=> tptp.sepSubset @t210)) % 2.33/2.58 (define @t212 () (=> tptp.subsetE @t211)) % 2.33/2.58 (define @t213 () (@quantifiers_skolemize @t70 3)) % 2.33/2.58 (define @t214 () (= @t30 @t213)) % 2.33/2.58 (define @t215 () (tptp.dsetconstr @t5 (lambda @t36 (or @t65 (and @t32 (= @t30 @t71)))))) % 2.33/2.58 (define @t216 () (forall @t90 (or @t68 @t86 (not (forall @t83 (or (not (tptp.in @t76 @t215)) (not (= @t77 @t215)))))))) % 2.33/2.58 (define @t217 () (@quantifiers_skolemize @t216 1)) % 2.33/2.58 (define @t218 () (not @t217)) % 2.33/2.58 (define @t219 () (and @t218 @t214)) % 2.33/2.58 (define @t220 () (and @t217 (= @t213 @t30))) % 2.33/2.58 (define @t221 () (or @t220 @t219)) % 2.33/2.58 (define @t222 () (lambda @t36 @t221)) % 2.33/2.58 (define @t223 () (@quantifiers_skolemize @t70 0)) % 2.33/2.58 (define @t224 () (tptp.dsetconstr @t223 @t222)) % 2.33/2.58 (define @t225 () (= @t77 @t224)) % 2.33/2.58 (define @t226 () (not @t225)) % 2.33/2.58 (define @t227 () (tptp.in @t76 @t224)) % 2.33/2.58 (define @t228 () (not @t227)) % 2.33/2.58 (define @t229 () (or @t228 @t226)) % 2.33/2.58 (define @t230 () (forall @t83 @t229)) % 2.33/2.58 (define @t231 () (not @t230)) % 2.33/2.58 (define @t232 () (tptp.in @t213 @t223)) % 2.33/2.58 (define @t233 () (not @t232)) % 2.33/2.58 (define @t234 () (or @t233 @t233 @t231)) % 2.33/2.58 (define @t235 () (lambda @t36 (or (and @t217 @t214) @t219))) % 2.33/2.58 (define @t236 () (tptp.dsetconstr @t223 @t235)) % 2.33/2.58 (define @t237 () (forall @t83 (or (not (tptp.in @t76 @t236)) (not (= @t77 @t236))))) % 2.33/2.58 (define @t238 () (not @t237)) % 2.33/2.58 (define @t239 () (or @t233 @t233 @t238)) % 2.33/2.58 (define @t240 () (@list false)) % 2.33/2.58 (define @t241 () (@list @t216)) % 2.33/2.58 (define @t242 () (@quantifiers_skolemize @t70 1)) % 2.33/2.58 (define @t243 () (not @t242)) % 2.33/2.58 (define @t244 () (and @t243 @t214)) % 2.33/2.58 (define @t245 () (@quantifiers_skolemize @t70 2)) % 2.33/2.58 (define @t246 () (= @t30 @t245)) % 2.33/2.58 (define @t247 () (and @t242 @t246)) % 2.33/2.58 (define @t248 () (or @t247 @t244)) % 2.33/2.58 (define @t249 () (lambda @t36 @t248)) % 2.33/2.58 (define @t250 () (@purify @t249)) % 2.33/2.58 (define @t251 () (tptp.dsetconstr @t223 @t250)) % 2.33/2.58 (define @t252 () (tptp.setunion @t251)) % 2.33/2.58 (define @t253 () (tptp.in @t252 @t223)) % 2.33/2.58 (define @t254 () (tptp.in @t245 @t223)) % 2.33/2.58 (define @t255 () (not @t254)) % 2.33/2.58 (define @t256 () (or @t255 @t233 @t253)) % 2.33/2.58 (define @t257 () (not @t256)) % 2.33/2.58 (define @t258 () (not @t70)) % 2.33/2.58 (define @t259 () (tptp.dsetconstr @t223 @t249)) % 2.33/2.58 (define @t260 () (tptp.setunion @t259)) % 2.33/2.58 (define @t261 () (tptp.in @t260 @t223)) % 2.33/2.58 (define @t262 () (or @t255 @t233 @t261)) % 2.33/2.58 (define @t263 () (not @t262)) % 2.33/2.58 (define @t264 () (and @t242 (= @t245 @t30))) % 2.33/2.58 (define @t265 () (or @t264 @t244)) % 2.33/2.58 (define @t266 () (lambda @t36 @t265)) % 2.33/2.58 (define @t267 () (tptp.dsetconstr @t223 @t266)) % 2.33/2.58 (define @t268 () (tptp.setunion @t267)) % 2.33/2.58 (define @t269 () (tptp.in @t268 @t223)) % 2.33/2.58 (define @t270 () (or @t255 @t233 @t269)) % 2.33/2.58 (define @t271 () (not @t270)) % 2.33/2.58 (define @t272 () (@list true)) % 2.33/2.58 (define @t273 () (@list @t256)) % 2.33/2.58 (define @t274 () (@list false false)) % 2.33/2.58 (define @t275 () (@purify @t235)) % 2.33/2.58 (define @t276 () (tptp.dsetconstr @t223 @t275)) % 2.33/2.58 (define @t277 () (@quantifiers_skolemize @t237 0)) % 2.33/2.58 (define @t278 () (tptp.setadjoin @t277 tptp.emptyset)) % 2.33/2.58 (define @t279 () (= @t278 @t276)) % 2.33/2.58 (define @t280 () (not @t279)) % 2.33/2.58 (define @t281 () (tptp.in @t277 @t276)) % 2.33/2.58 (define @t282 () (not @t281)) % 2.33/2.58 (define @t283 () (or @t282 @t280)) % 2.33/2.58 (define @t284 () (not @t283)) % 2.33/2.58 (define @t285 () (= @t236 @t278)) % 2.33/2.58 (define @t286 () (not @t285)) % 2.33/2.58 (define @t287 () (tptp.in @t277 @t236)) % 2.33/2.58 (define @t288 () (not @t287)) % 2.33/2.58 (define @t289 () (or @t288 @t286)) % 2.33/2.58 (define @t290 () (not @t289)) % 2.33/2.58 (define @t291 () (not (= @t278 @t236))) % 2.33/2.58 (define @t292 () (or @t288 @t291)) % 2.33/2.58 (define @t293 () (not @t292)) % 2.33/2.58 (define @t294 () (@list @t283)) % 2.33/2.58 (define @t295 () (tptp.in @t277 @t278)) % 2.33/2.58 (define @t296 () (not @t295)) % 2.33/2.58 (define @t297 () (tptp.in (tptp.setunion @t278) @t278)) % 2.33/2.58 (define @t298 () (or @t297 @t296)) % 2.33/2.58 (define @t299 () (tptp.in @t252 @t251)) % 2.33/2.58 (define @t300 () (not @t299)) % 2.33/2.58 (define @t301 () (tptp.subset @t251 @t223)) % 2.33/2.58 (define @t302 () (not @t301)) % 2.33/2.58 (define @t303 () (or @t302 @t300 @t253)) % 2.33/2.58 (define @t304 () (@const 0 $$unsorted)) % 2.33/2.58 (define @t305 () (= @t213 @t304)) % 2.33/2.58 (define @t306 () (and @t218 @t305)) % 2.33/2.58 (define @t307 () (not @t306)) % 2.33/2.58 (define @t308 () (and @t242 (= @t245 @t304))) % 2.33/2.58 (define @t309 () (and @t217 @t305)) % 2.33/2.58 (define @t310 () (not @t305)) % 2.33/2.58 (define @t311 () (and @t243 @t305)) % 2.33/2.58 (define @t312 () (not @t243)) % 2.33/2.58 (define @t313 () (or @t309 @t306)) % 2.33/2.58 (define @t314 () (or @t308 @t311)) % 2.33/2.58 (define @t315 () (= @t313 @t314)) % 2.33/2.58 (define @t316 () (not @t309)) % 2.33/2.58 (define @t317 () (@const 1 $$unsorted)) % 2.33/2.58 (define @t318 () (and @t243 (= @t213 @t317))) % 2.33/2.58 (define @t319 () (and @t243 @t242)) % 2.33/2.58 (define @t320 () (not @t319)) % 2.33/2.58 (define @t321 () (not (= @t213 @t213))) % 2.33/2.58 (define @t322 () (@var "BOUND_VARIABLE_284611" $$unsorted)) % 2.33/2.58 (define @t323 () (not (= @t213 @t322))) % 2.33/2.58 (define @t324 () (not (= @t322 @t213))) % 2.33/2.58 (define @t325 () (@list @t322)) % 2.33/2.58 (define @t326 () (or @t323 @t323)) % 2.33/2.58 (define @t327 () (forall @t325 @t323)) % 2.33/2.58 (define @t328 () (or @t242 @t327)) % 2.33/2.58 (define @t329 () (or @t242 @t324)) % 2.33/2.58 (define @t330 () (forall @t325 @t329)) % 2.33/2.58 (define @t331 () (not (= @t245 @t245))) % 2.33/2.58 (define @t332 () (@var "BOUND_VARIABLE_284604" $$unsorted)) % 2.33/2.58 (define @t333 () (not (= @t245 @t332))) % 2.33/2.58 (define @t334 () (not (= @t332 @t245))) % 2.33/2.58 (define @t335 () (@list @t332)) % 2.33/2.58 (define @t336 () (or @t333 @t333)) % 2.33/2.58 (define @t337 () (forall @t335 @t333)) % 2.33/2.58 (define @t338 () (or @t243 @t337)) % 2.33/2.58 (define @t339 () (or @t243 @t334)) % 2.33/2.58 (define @t340 () (forall @t335 @t339)) % 2.33/2.58 (define @t341 () (not @t214)) % 2.33/2.58 (define @t342 () (or @t242 @t341)) % 2.33/2.58 (define @t343 () (forall @t36 @t342)) % 2.33/2.58 (define @t344 () (@list @t30)) % 2.33/2.58 (define @t345 () (or @t243 (not @t246))) % 2.33/2.58 (define @t346 () (forall @t36 @t345)) % 2.33/2.58 (define @t347 () (and @t346 @t343)) % 2.33/2.58 (define @t348 () (forall @t36 (= @t248 false))) % 2.33/2.58 (define @t349 () (lambda (@list (@var "BOUND_VARIABLE_8395" $$unsorted)) false)) % 2.33/2.58 (define @t350 () (@purify @t349)) % 2.33/2.58 (define @t351 () (= @t250 @t350)) % 2.33/2.58 (define @t352 () (=> @t351 @t348)) % 2.33/2.58 (define @t353 () (= @t245 @t317)) % 2.33/2.58 (define @t354 () (and @t242 @t353)) % 2.33/2.58 (define @t355 () (or @t354 @t318)) % 2.33/2.58 (define @t356 () (_ @t349 @t317)) % 2.33/2.58 (define @t357 () (_ @t350 @t317)) % 2.33/2.58 (define @t358 () (and @t243 (= @t317 @t213))) % 2.33/2.58 (define @t359 () (and @t242 (= @t317 @t245))) % 2.33/2.58 (define @t360 () (or @t359 @t358)) % 2.33/2.58 (define @t361 () (_ @t249 @t317)) % 2.33/2.58 (define @t362 () (_ @t250 @t317)) % 2.33/2.58 (define @t363 () (= @t362 @t357)) % 2.33/2.58 (define @t364 () (not @t363)) % 2.33/2.58 (define @t365 () (or @t351 @t364)) % 2.33/2.58 (define @t366 () (tptp.in @t317 @t223)) % 2.33/2.58 (define @t367 () (and @t254 @t353)) % 2.33/2.58 (define @t368 () (= @t30 @t317)) % 2.33/2.58 (define @t369 () (and @t218 @t368)) % 2.33/2.58 (define @t370 () (and @t217 (= @t317 @t30))) % 2.33/2.58 (define @t371 () (or @t370 @t369)) % 2.33/2.58 (define @t372 () (lambda @t36 @t371)) % 2.33/2.58 (define @t373 () (tptp.dsetconstr @t223 @t372)) % 2.33/2.58 (define @t374 () (= @t77 @t373)) % 2.33/2.58 (define @t375 () (not @t374)) % 2.33/2.58 (define @t376 () (tptp.in @t76 @t373)) % 2.33/2.58 (define @t377 () (not @t376)) % 2.33/2.58 (define @t378 () (or @t377 @t375)) % 2.33/2.58 (define @t379 () (forall @t83 @t378)) % 2.33/2.58 (define @t380 () (not @t379)) % 2.33/2.58 (define @t381 () (not @t366)) % 2.33/2.58 (define @t382 () (or @t381 @t381 @t380)) % 2.33/2.58 (define @t383 () (lambda @t36 (or (and @t217 @t368) @t369))) % 2.33/2.58 (define @t384 () (tptp.dsetconstr @t223 @t383)) % 2.33/2.58 (define @t385 () (forall @t83 (or (not (tptp.in @t76 @t384)) (not (= @t77 @t384))))) % 2.33/2.58 (define @t386 () (not @t385)) % 2.33/2.58 (define @t387 () (or @t381 @t381 @t386)) % 2.33/2.58 (define @t388 () (@purify @t383)) % 2.33/2.58 (define @t389 () (tptp.dsetconstr @t223 @t388)) % 2.33/2.58 (define @t390 () (@quantifiers_skolemize @t385 0)) % 2.33/2.58 (define @t391 () (tptp.setadjoin @t390 tptp.emptyset)) % 2.33/2.58 (define @t392 () (= @t391 @t389)) % 2.33/2.58 (define @t393 () (not @t392)) % 2.33/2.58 (define @t394 () (tptp.in @t390 @t389)) % 2.33/2.58 (define @t395 () (not @t394)) % 2.33/2.58 (define @t396 () (or @t395 @t393)) % 2.33/2.58 (define @t397 () (not @t396)) % 2.33/2.58 (define @t398 () (= @t384 @t391)) % 2.33/2.58 (define @t399 () (not @t398)) % 2.33/2.58 (define @t400 () (tptp.in @t390 @t384)) % 2.33/2.58 (define @t401 () (not @t400)) % 2.33/2.58 (define @t402 () (or @t401 @t399)) % 2.33/2.58 (define @t403 () (not @t402)) % 2.33/2.58 (define @t404 () (not (= @t391 @t384))) % 2.33/2.58 (define @t405 () (or @t401 @t404)) % 2.33/2.58 (define @t406 () (not @t405)) % 2.33/2.58 (define @t407 () (tptp.in @t390 @t391)) % 2.33/2.58 (define @t408 () (and @t392 @t394)) % 2.33/2.58 (define @t409 () (not @t407)) % 2.33/2.58 (define @t410 () (tptp.setunion @t391)) % 2.33/2.58 (define @t411 () (tptp.in @t410 @t391)) % 2.33/2.58 (define @t412 () (or @t411 @t409)) % 2.33/2.58 (define @t413 () (@const 2 $$unsorted)) % 2.33/2.58 (define @t414 () (and @t243 (= @t213 @t413))) % 2.33/2.58 (define @t415 () (= @t317 @t413)) % 2.33/2.58 (define @t416 () (and @t218 @t415)) % 2.33/2.58 (define @t417 () (not @t416)) % 2.33/2.58 (define @t418 () (and @t217 @t415)) % 2.33/2.58 (define @t419 () (not @t415)) % 2.33/2.58 (define @t420 () (or @t418 @t416)) % 2.33/2.58 (define @t421 () (= @t245 @t413)) % 2.33/2.58 (define @t422 () (and @t242 @t421)) % 2.33/2.58 (define @t423 () (or @t422 @t414)) % 2.33/2.58 (define @t424 () (= @t420 @t423)) % 2.33/2.58 (define @t425 () (not @t421)) % 2.33/2.58 (define @t426 () (and @t353 @t415)) % 2.33/2.58 (define @t427 () (not @t353)) % 2.33/2.58 (define @t428 () (not @t418)) % 2.33/2.58 (define @t429 () (and @t353 @t419)) % 2.33/2.58 (define @t430 () (= @t413 @t317)) % 2.33/2.58 (define @t431 () (and @t218 @t430)) % 2.33/2.58 (define @t432 () (and @t217 @t430)) % 2.33/2.58 (define @t433 () (or @t432 @t431)) % 2.33/2.58 (define @t434 () (_ @t383 @t413)) % 2.33/2.58 (define @t435 () (_ @t388 @t413)) % 2.33/2.58 (define @t436 () (and @t243 (= @t413 @t213))) % 2.33/2.58 (define @t437 () (and @t242 (= @t413 @t245))) % 2.33/2.58 (define @t438 () (or @t437 @t436)) % 2.33/2.58 (define @t439 () (_ @t249 @t413)) % 2.33/2.58 (define @t440 () (_ @t250 @t413)) % 2.33/2.58 (define @t441 () (= @t440 @t435)) % 2.33/2.58 (define @t442 () (not @t441)) % 2.33/2.58 (define @t443 () (= @t250 @t388)) % 2.33/2.58 (define @t444 () (or @t443 @t442)) % 2.33/2.58 (define @t445 () (not @t443)) % 2.33/2.58 (define @t446 () (not @t411)) % 2.33/2.58 (define @t447 () (not @t300)) % 2.33/2.58 (define @t448 () (and @t300 @t443 @t392 @t411)) % 2.33/2.58 (define @t449 () (forall @t139 @t136)) % 2.33/2.58 (define @t450 () (forall @t9 (or (not @t176) @t68 @t175))) % 2.33/2.58 (define @t451 () (forall @t19 (tptp.subset (tptp.dsetconstr @t5 @t12) @t5))) % 2.33/2.58 (define @t452 () (not @t218)) % 2.33/2.58 (define @t453 () (= @t304 @t213)) % 2.33/2.58 (define @t454 () (and @t218 @t453)) % 2.33/2.58 (define @t455 () (and @t217 @t453)) % 2.33/2.58 (define @t456 () (or @t455 @t454)) % 2.33/2.58 (define @t457 () (_ @t235 @t304)) % 2.33/2.58 (define @t458 () (_ @t275 @t304)) % 2.33/2.58 (define @t459 () (and @t243 @t453)) % 2.33/2.58 (define @t460 () (and @t242 (= @t304 @t245))) % 2.33/2.58 (define @t461 () (or @t460 @t459)) % 2.33/2.58 (define @t462 () (_ @t249 @t304)) % 2.33/2.58 (define @t463 () (_ @t250 @t304)) % 2.33/2.58 (define @t464 () (= @t463 @t458)) % 2.33/2.58 (define @t465 () (not @t464)) % 2.33/2.58 (define @t466 () (= @t250 @t275)) % 2.33/2.58 (define @t467 () (or @t466 @t465)) % 2.33/2.58 (define @t468 () (not @t466)) % 2.33/2.58 (define @t469 () (not @t297)) % 2.33/2.58 (define @t470 () (and @t297 @t279 @t466 @t300)) % 2.33/2.58 (assume @p1 @t11) % 2.33/2.58 (assume @p2 @t21) % 2.33/2.58 (assume @p3 @t28) % 2.33/2.58 (assume @p4 @t46) % 2.33/2.58 (assume @p5 @t55) % 2.33/2.58 (assume @p6 true) % 2.33/2.58 (step @p7 (= tptp.singleton @t61) :rule refl :args (@t61)) % 2.33/2.58 (step @p8 (= tptp.if @t63) :rule refl :args (@t63)) % 2.33/2.58 (step @p9 :rule refl :args (@t70)) % 2.33/2.58 (step @p10 :rule eq-symm :args (@t71 @t30)) % 2.33/2.58 (step @p11 :rule refl :args (@t32)) % 2.33/2.58 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t72)) % 2.33/2.58 (step @p13 :rule refl :args (@t65)) % 2.33/2.58 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t73)) % 2.33/2.58 (step @p15 :rule cong :premises (@p14) :args (@t74)) % 2.33/2.58 (step @p16 :rule refl :args (@t5)) % 2.33/2.58 (step @p17 :rule cong :premises (@p16 @p15) :args (@t75)) % 2.33/2.58 (step @p18 :rule refl :args (@t77)) % 2.33/2.58 (step @p19 :rule cong :premises (@p18 @p17) :args (@t78)) % 2.33/2.58 (step @p20 :rule cong :premises (@p19) :args (@t79)) % 2.33/2.58 (step @p21 :rule refl :args (@t76)) % 2.33/2.58 (step @p22 :rule cong :premises (@p21 @p17) :args (@t80)) % 2.33/2.58 (step @p23 :rule cong :premises (@p22) :args (@t81)) % 2.33/2.58 (step @p24 :rule nary_cong :premises (@p23 @p20) :args (@t82)) % 2.33/2.58 (step @p25 :rule cong :premises (@p24) :args (@t84)) % 2.33/2.58 (step @p26 :rule cong :premises (@p25) :args (@t85)) % 2.33/2.58 (step @p27 :rule refl :args (@t86)) % 2.33/2.58 (step @p28 :rule refl :args (@t68)) % 2.33/2.58 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26) :args (@t87)) % 2.33/2.58 (step @p30 :rule aci_norm :args ((= @t89 @t87))) % 2.33/2.58 (step @p31 :rule trans :premises (@p30 @p29)) % 2.33/2.58 (step @p32 :rule cong :premises (@p31) :args (@t91)) % 2.33/2.58 (step @p33 :rule quant-merge-prenex :args ((= (forall @t44 @t93) @t91))) % 2.33/2.58 (step @p34 :rule alpha_equiv :args (@t94 (@list @t71) @t95)) % 2.33/2.58 (step @p35 :rule refl :args (@t68)) % 2.33/2.58 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t96)) % 2.33/2.58 (step @p37 :rule quant-miniscope-or :args ((= @t93 @t96))) % 2.33/2.58 (step @p38 :rule trans :premises (@p37 @p36)) % 2.33/2.58 (step @p39 :rule symm :premises (@p38)) % 2.33/2.58 (step @p40 :rule cong :premises (@p39) :args ((forall @t44 (or @t68 @t103)))) % 2.33/2.58 (step @p41 :rule trans :premises (@p40 @p33)) % 2.33/2.58 (step @p42 :rule trans :premises (@p41 @p32)) % 2.33/2.58 (step @p43 :rule refl :args (@t103)) % 2.33/2.58 (step @p44 :rule refl :args (@t67)) % 2.33/2.58 (step @p45 :rule refl :args (@t6)) % 2.33/2.58 (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t6 @t67))) % 2.33/2.58 (step @p47 :rule symm :premises (@p46)) % 2.33/2.58 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 2.33/2.58 (step @p49 :rule cong :premises (@p48) :args (@t104)) % 2.33/2.58 (step @p50 :rule nary_cong :premises (@p49 @p43) :args 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@p547) :args (@t300 (@list true false false) (@list @t253 @t301 @t303))) % 2.33/2.58 (step @p555 :rule cnf_and_pos :args (@t306 0)) % 2.33/2.58 (step @p556 :rule reordering :premises (@p555) :args ((or @t218 @t307))) % 2.33/2.58 (step @p557 :rule cnf_and_pos :args (@t308 0)) % 2.33/2.58 (step @p558 :rule reordering :premises (@p557) :args ((or @t242 (not @t308)))) % 2.33/2.58 (step @p559 :rule cnf_and_neg :args (@t309)) % 2.33/2.58 (step @p560 :rule reordering :premises (@p559) :args ((or @t218 @t309 @t310))) % 2.33/2.58 (step @p561 :rule refl :args (@t310)) % 2.33/2.58 (step @p562 :rule bool-double-not-elim :args (@t242)) % 2.33/2.58 (step @p563 :rule refl :args (@t311)) % 2.33/2.58 (step @p564 :rule nary_cong :premises (@p563 @p562 @p561) :args ((or @t311 @t312 @t310))) % 2.33/2.58 (step @p565 :rule cnf_and_neg :args (@t311)) % 2.33/2.58 (step @p566 :rule eq_resolve :premises (@p565 @p564)) % 2.33/2.58 (step @p567 :rule reordering :premises (@p566) :args ((or @t242 @t311 @t310))) % 2.33/2.58 (step @p568 :rule cnf_or_neg :args (@t313 0)) % 2.33/2.58 (step @p569 :rule cnf_or_neg :args (@t314 1)) % 2.33/2.58 (step @p570 :rule cnf_equiv_neg2 :args (@t315)) % 2.33/2.58 (step @p571 :rule chain_m_resolution :premises (@p570 @p569 @p568 @p567 @p560) :args ((or @t242 @t218 @t315 @t310) (@list false false false false) (@list @t314 @t313 @t311 @t309))) % 2.33/2.58 (step @p572 :rule cnf_and_pos :args (@t309 1)) % 2.33/2.58 (step @p573 :rule reordering :premises (@p572) :args ((or @t305 @t316))) % 2.33/2.58 (step @p574 :rule cnf_and_pos :args (@t311 1)) % 2.33/2.58 (step @p575 :rule reordering :premises (@p574) :args ((or @t305 (not @t311)))) % 2.33/2.58 (step @p576 :rule cnf_or_pos :args (@t313)) % 2.33/2.58 (step @p577 :rule reordering :premises (@p576) :args ((or @t309 @t306 (not @t313)))) % 2.33/2.58 (step @p578 :rule cnf_or_pos :args (@t314)) % 2.33/2.58 (step @p579 :rule reordering :premises (@p578) :args ((or @t308 @t311 (not @t314)))) % 2.33/2.58 (step @p580 :rule cnf_equiv_neg1 :args (@t315)) % 2.33/2.58 (step @p581 :rule reordering :premises (@p580) :args ((or @t313 @t314 @t315))) % 2.33/2.58 (step @p582 :rule chain_m_resolution :premises (@p581 @p579 @p577 @p575 @p573 @p571 @p558 @p556) :args ((or @t242 @t218 @t315) (@list true true true true true true true) (@list @t314 @t313 @t311 @t309 @t305 @t308 @t306))) % 2.33/2.58 (step @p583 :rule cnf_and_pos :args (@t318 0)) % 2.33/2.58 (step @p584 :rule reordering :premises (@p583) :args ((or @t243 (not @t318)))) % 2.33/2.58 (step @p585 :rule cnf_and_pos :args (@t319 0)) % 2.33/2.58 (step @p586 :rule reordering :premises (@p585) :args ((or @t243 @t320))) % 2.33/2.58 (step @p587 :rule aci_norm :args ((= (or @t242 false) @t242))) % 2.33/2.58 (step @p588 :rule eq-refl :args (@t213)) % 2.33/2.58 (step @p589 :rule cong :premises (@p588) :args (@t321)) % 2.33/2.58 (step @p590 :rule trans :premises (@p589 @p146)) % 2.33/2.58 (step @p591 :rule quant-var-elim-eq :args ((= (forall @t325 (or @t324 @t323)) @t321))) % 2.33/2.58 (step @p592 :rule refl :args (@t323)) % 2.33/2.58 (step @p593 :rule eq-symm :args (@t213 @t322)) % 2.33/2.58 (step @p594 :rule cong :premises (@p593) :args (@t323)) % 2.33/2.58 (step @p595 :rule nary_cong :premises (@p594 @p592) :args (@t326)) % 2.33/2.58 (step @p596 :rule aci_norm :args ((= @t323 @t326))) % 2.33/2.58 (step @p597 :rule trans :premises (@p596 @p595)) % 2.33/2.58 (step @p598 :rule cong :premises (@p597) :args (@t327)) % 2.33/2.58 (step @p599 :rule trans :premises (@p598 @p591)) % 2.33/2.58 (step @p600 :rule trans :premises (@p599 @p590)) % 2.33/2.58 (step @p601 :rule nary_cong :premises (@p457 @p600) :args (@t328)) % 2.33/2.58 (step @p602 :rule trans :premises (@p601 @p587)) % 2.33/2.58 (step @p603 :rule quant-miniscope-or :args ((= (forall @t325 (or @t242 @t323)) @t328))) % 2.33/2.58 (step @p604 :rule trans :premises (@p603 @p602)) % 2.33/2.58 (step @p605 :rule eq-symm :args (@t322 @t213)) % 2.33/2.58 (step @p606 :rule cong :premises (@p605) :args (@t324)) % 2.33/2.58 (step @p607 :rule nary_cong :premises (@p457 @p606) :args (@t329)) % 2.33/2.58 (step @p608 :rule cong :premises (@p607) :args (@t330)) % 2.33/2.58 (step @p609 :rule trans :premises (@p608 @p604)) % 2.33/2.58 (step @p610 :rule aci_norm :args ((= (or @t243 false) @t243))) % 2.33/2.58 (step @p611 :rule eq-refl :args (@t245)) % 2.33/2.58 (step @p612 :rule cong :premises (@p611) :args (@t331)) % 2.33/2.58 (step @p613 :rule trans :premises (@p612 @p146)) % 2.33/2.58 (step @p614 :rule quant-var-elim-eq :args ((= (forall @t335 (or @t334 @t333)) @t331))) % 2.33/2.58 (step @p615 :rule refl :args (@t333)) % 2.33/2.58 (step @p616 :rule eq-symm :args (@t245 @t332)) % 2.33/2.58 (step @p617 :rule cong :premises (@p616) :args (@t333)) % 2.33/2.58 (step @p618 :rule nary_cong :premises (@p617 @p615) :args (@t336)) % 2.33/2.58 (step @p619 :rule aci_norm :args ((= @t333 @t336))) % 2.33/2.58 (step @p620 :rule trans :premises (@p619 @p618)) % 2.33/2.58 (step @p621 :rule cong :premises (@p620) :args (@t337)) % 2.33/2.58 (step @p622 :rule trans :premises (@p621 @p614)) % 2.33/2.58 (step @p623 :rule trans :premises (@p622 @p613)) % 2.33/2.58 (step @p624 :rule refl :args (@t243)) % 2.33/2.58 (step @p625 :rule nary_cong :premises (@p624 @p623) :args (@t338)) % 2.33/2.58 (step @p626 :rule trans :premises (@p625 @p610)) % 2.33/2.58 (step @p627 :rule quant-miniscope-or :args ((= (forall @t335 (or @t243 @t333)) @t338))) % 2.33/2.58 (step @p628 :rule trans :premises (@p627 @p626)) % 2.33/2.58 (step @p629 :rule eq-symm :args (@t332 @t245)) % 2.33/2.58 (step @p630 :rule cong :premises (@p629) :args (@t334)) % 2.33/2.58 (step @p631 :rule nary_cong :premises (@p624 @p630) :args (@t339)) % 2.33/2.58 (step @p632 :rule cong :premises (@p631) :args (@t340)) % 2.33/2.58 (step @p633 :rule trans :premises (@p632 @p628)) % 2.33/2.58 (step @p634 :rule nary_cong :premises (@p633 @p609) :args ((and @t340 @t330))) % 2.33/2.58 (step @p635 :rule alpha_equiv :args (@t343 @t344 (@list @t322))) % 2.33/2.58 (step @p636 :rule alpha_equiv :args (@t346 @t344 (@list @t332))) % 2.33/2.58 (step @p637 :rule nary_cong :premises (@p636 @p635) :args (@t347)) % 2.33/2.58 (step @p638 :rule quant-miniscope-and :args ((= (forall @t36 (and @t345 @t342)) @t347))) % 2.33/2.58 (step @p639 :rule trans :premises (@p638 @p637)) % 2.33/2.58 (step @p640 :rule trans :premises (@p639 @p634)) % 2.33/2.58 (step @p641 :rule refl :args (@t341)) % 2.33/2.58 (step @p642 :rule bool-double-not-elim :args (@t242)) % 2.33/2.58 (step @p643 :rule nary_cong :premises (@p642 @p641) :args ((or @t312 @t341))) % 2.33/2.58 (step @p644 :rule bool-and-de-morgan :args (@t243 @t214 true)) % 2.33/2.58 (step @p645 :rule trans :premises (@p644 @p643)) % 2.33/2.58 (step @p646 :rule bool-and-de-morgan :args (@t242 @t246 true)) % 2.33/2.58 (step @p647 :rule nary_cong :premises (@p646 @p645) :args ((and (not @t247) (not @t244)))) % 2.33/2.58 (step @p648 :rule bool-or-de-morgan :args (@t247 @t244 false)) % 2.33/2.58 (step @p649 :rule trans :premises (@p648 @p647)) % 2.33/2.58 (step @p650 :rule cong :premises (@p649) :args ((forall @t36 (not @t248)))) % 2.33/2.58 (step @p651 :rule trans :premises (@p650 @p640)) % 2.33/2.58 (step @p652 :rule bool-eq-false :args (@t248)) % 2.33/2.58 (step @p653 :rule cong :premises (@p652) :args (@t348)) % 2.33/2.58 (step @p654 :rule trans :premises (@p653 @p651)) % 2.33/2.58 (step @p655 :rule refl :args (@t351)) % 2.33/2.58 (step @p656 :rule cong :premises (@p655 @p654) :args (@t352)) % 2.33/2.58 ; WARNING: add trust step for TRUST % 2.33/2.58 ; trust TRUST THEORY_LEMMA % 2.33/2.58 (step @p657 :rule trust :premises () :args (@t352)) % 2.33/2.58 (step @p658 :rule eq_resolve :premises (@p657 @p656)) % 2.33/2.58 (step @p659 :rule implies_elim :premises (@p658)) % 2.33/2.58 (step @p660 :rule aci_norm :args ((= (or @t351 @t355) (or @t351 @t354 @t318)))) % 2.33/2.58 (step @p661 :rule bool-double-not-elim :args (@t355)) % 2.33/2.58 (step @p662 :rule bool-eq-false :args (@t355)) % 2.33/2.58 (step @p663 :rule evaluate :args ((not false))) % 2.33/2.58 (step @p664 :rule beta-reduce :args ((= @t356 false))) % 2.33/2.58 (step @p665 :rule cong :premises (@p664) :args ((not @t356))) % 2.33/2.58 (step @p666 :rule trans :premises (@p665 @p663)) % 2.33/2.58 (step @p667 :rule refl :args (@t317)) % 2.33/2.58 (step @p668 :rule skolem_intro :args (@t350)) % 2.33/2.58 (step @p669 :rule ho_cong :premises (@p668 @p667)) % 2.33/2.58 (step @p670 :rule cong :premises (@p669) :args ((not @t357))) % 2.33/2.58 (step @p671 :rule bool-eq-false :args (@t357)) % 2.33/2.58 (step @p672 :rule trans :premises (@p671 @p670 @p666)) % 2.33/2.58 (step @p673 :rule true_elim :premises (@p672)) % 2.33/2.58 (step @p674 :rule eq-refl :args (@t355)) % 2.33/2.58 (step @p675 :rule eq-symm :args (@t317 @t213)) % 2.33/2.58 (step @p676 :rule nary_cong :premises (@p624 @p675) :args (@t358)) % 2.33/2.58 (step @p677 :rule eq-symm :args (@t317 @t245)) % 2.33/2.58 (step @p678 :rule nary_cong :premises (@p457 @p677) :args (@t359)) % 2.33/2.58 (step @p679 :rule nary_cong :premises (@p678 @p676) :args (@t360)) % 2.33/2.58 (step @p680 :rule beta-reduce :args ((= @t361 @t360))) % 2.33/2.58 (step @p681 :rule trans :premises (@p680 @p679)) % 2.33/2.58 (step @p682 :rule refl :args (@t355)) % 2.33/2.58 (step @p683 :rule cong :premises (@p682 @p681) :args ((= @t355 @t361))) % 2.33/2.58 (step @p684 :rule trans :premises (@p683 @p674)) % 2.33/2.58 (step @p685 :rule eq-symm :args (@t361 @t355)) % 2.33/2.58 (step @p686 :rule trans :premises (@p685 @p684)) % 2.33/2.58 (step @p687 :rule ho_cong :premises (@p442 @p667)) % 2.33/2.58 (step @p688 :rule cong :premises (@p687 @p682) :args ((= @t362 @t355))) % 2.33/2.58 (step @p689 :rule trans :premises (@p688 @p686)) % 2.33/2.58 (step @p690 :rule true_elim :premises (@p689)) % 2.33/2.58 (step @p691 :rule cong :premises (@p690 @p673) :args (@t363)) % 2.33/2.58 (step @p692 :rule trans :premises (@p691 @p662)) % 2.33/2.58 (step @p693 :rule cong :premises (@p692) :args (@t364)) % 2.33/2.58 (step @p694 :rule trans :premises (@p693 @p661)) % 2.33/2.58 (step @p695 :rule nary_cong :premises (@p655 @p694) :args (@t365)) % 2.33/2.58 (step @p696 :rule trans :premises (@p695 @p660)) % 2.33/2.58 ; trust TRUST THEORY_LEMMA % 2.33/2.58 (step @p697 :rule trust :premises () :args (@t365)) % 2.33/2.58 (step @p698 :rule eq_resolve :premises (@p697 @p696)) % 2.33/2.58 (step @p699 :rule cnf_and_pos :args (@t354 1)) % 2.33/2.58 (step @p700 :rule reordering :premises (@p699) :args ((or @t353 (not @t354)))) % 2.33/2.58 (step @p701 :rule bool-double-not-elim :args (@t254)) % 2.33/2.58 (step @p702 :rule nary_cong :premises (@p477 @p701) :args ((or @t256 (not @t255)))) % 2.33/2.58 (step @p703 :rule cnf_or_neg :args (@t256 0)) % 2.33/2.58 (step @p704 :rule eq_resolve :premises (@p703 @p702)) % 2.33/2.58 (step @p705 :rule reordering :premises (@p704) :args ((or @t254 @t256))) % 2.33/2.58 (step @p706 :rule chain_m_resolution :premises (@p705 @p475) :args (@t254 @t272 @t273)) % 2.33/2.58 (assume-push @p1097 @t254) % 2.33/2.58 (assume-push @p1098 @t353) % 2.33/2.58 (assume-push @p1099 @t254) % 2.33/2.58 (assume-push @p1100 @t353) % 2.33/2.58 (step @p711 :rule true_intro :premises (@p706)) % 2.33/2.58 (step @p712 :rule symm :premises (@p1098)) % 2.33/2.58 (step @p713 :rule cong :premises (@p712 @p417) :args (@t366)) % 2.33/2.58 (step @p714 :rule trans :premises (@p713 @p711)) % 2.33/2.58 (step @p715 :rule true_elim :premises (@p714)) % 2.33/2.58 (step-pop @p1101 :rule scope :premises (@p715)) % 2.33/2.58 (step-pop @p1102 :rule scope :premises (@p1101)) % 2.33/2.58 (step @p716 :rule process_scope :premises (@p1102) :args (@t366)) % 2.33/2.58 (step @p719 :rule and_intro :premises (@p706 @p1098)) % 2.33/2.58 (step @p720 :rule modus_ponens :premises (@p719 @p716)) % 2.33/2.58 (step-pop @p1103 :rule scope :premises (@p720)) % 2.33/2.58 (step-pop @p1104 :rule scope :premises (@p1103)) % 2.33/2.58 (step @p721 :rule process_scope :premises (@p1104) :args (@t366)) % 2.33/2.58 (step @p724 :rule implies_elim :premises (@p721)) % 2.33/2.58 (step @p725 :rule cnf_and_neg :args (@t367)) % 2.33/2.58 (step @p726 :rule resolution :premises (@p725 @p724) :args (true @t367)) % 2.33/2.58 (step @p727 :rule refl :args (@t369)) % 2.33/2.58 (step @p728 :rule eq-symm :args (@t317 @t30)) % 2.33/2.58 (step @p729 :rule nary_cong :premises (@p413 @p728) :args (@t370)) % 2.33/2.58 (step @p730 :rule nary_cong :premises (@p729 @p727) :args (@t371)) % 2.33/2.58 (step @p731 :rule cong :premises (@p730) :args (@t372)) % 2.33/2.58 (step @p732 :rule cong :premises (@p417 @p731) :args (@t373)) % 2.33/2.58 (step @p733 :rule cong :premises (@p18 @p732) :args (@t374)) % 2.33/2.58 (step @p734 :rule cong :premises (@p733) :args (@t375)) % 2.33/2.58 (step @p735 :rule cong :premises (@p21 @p732) :args (@t376)) % 2.33/2.58 (step @p736 :rule cong :premises (@p735) :args (@t377)) % 2.33/2.58 (step @p737 :rule nary_cong :premises (@p736 @p734) :args (@t378)) % 2.33/2.58 (step @p738 :rule cong :premises (@p737) :args (@t379)) % 2.33/2.58 (step @p739 :rule cong :premises (@p738) :args (@t380)) % 2.33/2.58 (step @p740 :rule refl :args (@t381)) % 2.33/2.58 (step @p741 :rule nary_cong :premises (@p740 @p740 @p739) :args (@t382)) % 2.33/2.58 (step @p742 :rule cong :premises (@p428 @p741) :args ((=> @t216 @t382))) % 2.33/2.58 (assume-push @p1105 @t216) % 2.33/2.58 (step @p744 :rule instantiate :premises (@p410) :args ((@list @t223 @t217 @t317 @t317))) % 2.33/2.58 (step-pop @p1106 :rule scope :premises (@p744)) % 2.33/2.58 (step @p745 :rule process_scope :premises (@p1106) :args (@t382)) % 2.33/2.58 (step @p747 :rule eq_resolve :premises (@p745 @p742)) % 2.33/2.58 (step @p748 :rule implies_elim :premises (@p747)) % 2.33/2.58 (step @p749 :rule chain_m_resolution :premises (@p748 @p410) :args (@t387 @t240 @t241)) % 2.33/2.58 (step @p750 :rule cnf_or_pos :args (@t387)) % 2.33/2.58 (step @p751 :rule factoring :premises (@p750)) % 2.33/2.58 (step @p752 :rule reordering :premises (@p751) :args ((or @t381 @t386 (not @t387)))) % 2.33/2.58 (step @p753 :rule refl :args (@t397)) % 2.33/2.58 (step @p754 :rule bool-double-not-elim :args (@t385)) % 2.33/2.58 (step @p755 :rule nary_cong :premises (@p754 @p753) :args ((or (not @t386) @t397))) % 2.33/2.58 (step @p756 :rule eq-symm :args (@t389 @t391)) % 2.33/2.58 (step @p757 :rule refl :args (@t391)) % 2.33/2.58 (step @p758 :rule eq-refl :args (@t383)) % 2.33/2.58 (step @p759 :rule skolem_intro :args (@t388)) % 2.33/2.58 (step @p760 :rule refl :args (@t383)) % 2.33/2.58 (step @p761 :rule cong :premises (@p760 @p759) :args ((= @t383 @t388))) % 2.33/2.58 (step @p762 :rule trans :premises (@p761 @p758)) % 2.33/2.58 (step @p763 :rule true_elim :premises (@p762)) % 2.33/2.58 (step @p764 :rule cong :premises (@p417 @p763) :args (@t384)) % 2.33/2.58 (step @p765 :rule cong :premises (@p764 @p757) :args (@t398)) % 2.33/2.58 (step @p766 :rule trans :premises (@p765 @p756)) % 2.33/2.58 (step @p767 :rule cong :premises (@p766) :args (@t399)) % 2.33/2.58 (step @p768 :rule refl :args (@t390)) % 2.33/2.58 (step @p769 :rule cong :premises (@p768 @p764) :args (@t400)) % 2.33/2.58 (step @p770 :rule cong :premises (@p769) :args (@t401)) % 2.33/2.58 (step @p771 :rule nary_cong :premises (@p770 @p767) :args (@t402)) % 2.33/2.58 (step @p772 :rule cong :premises (@p771) :args (@t403)) % 2.33/2.58 (step @p773 :rule refl :args (@t386)) % 2.33/2.58 (step @p774 :rule cong :premises (@p773 @p772) :args ((=> @t386 @t403))) % 2.33/2.58 (step @p775 :rule eq-symm :args (@t391 @t384)) % 2.33/2.58 (step @p776 :rule cong :premises (@p775) :args (@t404)) % 2.33/2.58 (step @p777 :rule refl :args (@t401)) % 2.33/2.58 (step @p778 :rule nary_cong :premises (@p777 @p776) :args (@t405)) % 2.33/2.58 (step @p779 :rule cong :premises (@p778) :args (@t406)) % 2.33/2.58 (step @p780 :rule cong :premises (@p773 @p779) :args ((=> @t386 @t406))) % 2.33/2.58 (step @p781 :rule trans :premises (@p780 @p774)) % 2.33/2.58 (assume-push @p1107 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(step @p855 :rule cnf_equiv_neg1 :args (@t424)) % 2.33/2.58 (step @p856 :rule reordering :premises (@p855) :args ((or @t420 @t423 @t424))) % 2.33/2.58 (step @p857 :rule cnf_or_pos :args (@t423)) % 2.33/2.58 (step @p858 :rule reordering :premises (@p857) :args ((or @t422 @t414 (not @t423)))) % 2.33/2.58 (step @p859 :rule cnf_and_pos :args (@t422 1)) % 2.33/2.58 (step @p860 :rule reordering :premises (@p859) :args ((or @t421 (not @t422)))) % 2.33/2.58 (step @p861 :rule refl :args (@t425)) % 2.33/2.58 (step @p862 :rule bool-double-not-elim :args (@t415)) % 2.33/2.58 (step @p863 :rule refl :args (@t427)) % 2.33/2.58 (step @p864 :rule nary_cong :premises (@p863 @p862 @p861) :args ((or @t427 (not @t419) @t425))) % 2.33/2.58 (assume-push @p1125 @t353) % 2.33/2.58 (assume-push @p1126 @t419) % 2.33/2.58 (assume-push @p1127 @t419) % 2.33/2.58 (assume-push @p1128 @t353) % 2.33/2.58 (step @p869 :rule false_intro :premises (@p1126)) % 2.33/2.58 (step @p870 :rule refl :args (@t413)) % 2.33/2.58 (step @p871 :rule cong :premises (@p1125 @p870) :args (@t421)) % 2.33/2.58 (step @p872 :rule trans :premises (@p871 @p869)) % 2.33/2.58 (step @p873 :rule false_elim :premises (@p872)) % 2.33/2.58 (step-pop @p1129 :rule scope :premises (@p873)) % 2.33/2.58 (step-pop @p1130 :rule scope :premises (@p1129)) % 2.33/2.58 (step @p874 :rule process_scope :premises (@p1130) :args (@t425)) % 2.33/2.58 (step @p877 :rule and_intro :premises (@p1126 @p1125)) % 2.33/2.58 (step @p878 :rule modus_ponens :premises (@p877 @p874)) % 2.33/2.58 (step-pop @p1131 :rule scope :premises (@p878)) % 2.33/2.58 (step-pop @p1132 :rule scope :premises (@p1131)) % 2.33/2.58 (step @p879 :rule process_scope :premises (@p1132) :args (@t425)) % 2.33/2.58 (step @p882 :rule implies_elim :premises (@p879)) % 2.33/2.58 (step @p883 :rule cnf_and_neg :args (@t429)) % 2.33/2.58 (step @p884 :rule resolution :premises (@p883 @p882) :args (true @t429)) % 2.33/2.58 (step @p885 :rule eq_resolve :premises (@p884 @p864)) % 2.33/2.58 (step @p886 :rule chain_m_resolution :premises (@p885 @p860 @p858 @p856 @p854 @p852 @p850 @p825 @p823 @p700 @p698 @p584 @p659 @p586) :args ((or @t243 @t218 @t424) (@list false false false true true true true true false false true true true) (@list @t421 @t422 @t423 @t420 @t418 @t415 @t416 @t414 @t353 @t354 @t318 @t351 @t319))) % 2.33/2.58 (step @p887 :rule eq-symm :args (@t423 @t420)) % 2.33/2.58 (step @p888 :rule eq-refl :args (@t420)) % 2.33/2.58 (step @p889 :rule eq-symm :args (@t413 @t317)) % 2.33/2.58 (step @p890 :rule refl :args (@t218)) % 2.33/2.58 (step @p891 :rule nary_cong :premises (@p890 @p889) :args (@t431)) % 2.33/2.58 (step @p892 :rule nary_cong :premises (@p413 @p889) :args (@t432)) % 2.33/2.58 (step @p893 :rule nary_cong :premises (@p892 @p891) :args (@t433)) % 2.33/2.58 (step @p894 :rule beta-reduce :args ((= @t434 @t433))) % 2.33/2.58 (step @p895 :rule trans :premises (@p894 @p893)) % 2.33/2.58 (step @p896 :rule refl :args (@t420)) % 2.33/2.58 (step @p897 :rule cong 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% 2.33/2.58 ; trust TRUST THEORY_LEMMA % 2.33/2.58 (step @p927 :rule trust :premises () :args (@t444)) % 2.33/2.58 (step @p928 :rule eq_resolve :premises (@p927 @p926)) % 2.33/2.58 (step @p929 :rule refl :args (@t445)) % 2.33/2.58 (step @p930 :rule refl :args (@t446)) % 2.33/2.58 (step @p931 :rule refl :args (@t393)) % 2.33/2.58 (step @p932 :rule bool-double-not-elim :args (@t299)) % 2.33/2.58 (step @p933 :rule nary_cong :premises (@p932 @p931 @p930 @p929) :args ((or @t447 @t393 @t446 @t445))) % 2.33/2.58 (assume-push @p1133 @t300) % 2.33/2.58 (assume-push @p1134 @t443) % 2.33/2.58 (assume-push @p1135 @t392) % 2.33/2.58 (assume-push @p1136 @t411) % 2.33/2.58 (step @p938 :rule evaluate :args ((= true false))) % 2.33/2.58 (step @p939 :rule false_intro :premises (@p554)) % 2.33/2.58 (step @p940 :rule symm :premises (@p1134)) % 2.33/2.58 (step @p941 :rule cong :premises (@p417 @p940) :args (@t389)) % 2.33/2.58 (step @p942 :rule trans :premises (@p1135 @p941)) % 2.33/2.58 (step @p943 :rule 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(step-pop @p1146 :rule scope :premises (@p1145)) % 2.33/2.58 (step-pop @p1147 :rule scope :premises (@p1146)) % 2.33/2.58 (step-pop @p1148 :rule scope :premises (@p1147)) % 2.33/2.58 (step @p959 :rule process_scope :premises (@p1148) :args (@t448)) % 2.33/2.58 (step @p964 :rule implies_elim :premises (@p959)) % 2.33/2.58 (step @p965 :rule resolution :premises (@p964 @p949) :args (true @t448)) % 2.33/2.58 (step @p966 :rule not_and :premises (@p965)) % 2.33/2.58 (step @p967 :rule eq_resolve :premises (@p966 @p933)) % 2.33/2.58 (step @p968 :rule chain_m_resolution :premises (@p967 @p554 @p928 @p886 @p821 @p819 @p818 @p799 @p794 @p788 @p752 @p749 @p726 @p706 @p700 @p698 @p659 @p586 @p584 @p582) :args ((or @t218 @t315) (@list true false false false false false false false true true false false false false false true true true false) (@list @t299 @t443 @t424 @t411 @t412 @t407 @t392 @t394 @t396 @t385 @t387 @t366 @t254 @t353 @t354 @t351 @t319 @t318 @t242))) % 2.33/2.58 (step @p969 :rule 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process_scope :premises (@p1152) :args (@t303)) % 2.33/2.58 (step @p984 :rule implies_elim :premises (@p982)) % 2.33/2.58 (assume-push @p1153 @t451) % 2.33/2.58 (step-pop @p1154 :rule scope :premises (@p549)) % 2.33/2.58 (step @p986 :rule process_scope :premises (@p1154) :args (@t301)) % 2.33/2.58 (step @p988 :rule implies_elim :premises (@p986)) % 2.33/2.58 (step @p989 :rule refl :args (@t419)) % 2.33/2.58 (step @p990 :rule bool-double-not-elim :args (@t217)) % 2.33/2.58 (step @p991 :rule refl :args (@t416)) % 2.33/2.58 (step @p992 :rule nary_cong :premises (@p991 @p990 @p989) :args ((or @t416 @t452 @t419))) % 2.33/2.58 (step @p993 :rule cnf_and_neg :args (@t416)) % 2.33/2.58 (step @p994 :rule eq_resolve :premises (@p993 @p992)) % 2.33/2.58 (step @p995 :rule reordering :premises (@p994) :args ((or @t217 @t416 @t419))) % 2.33/2.58 (step @p996 :rule cnf_or_neg :args (@t420 1)) % 2.33/2.58 (step @p997 :rule chain_m_resolution :premises (@p830 @p829 @p832 @p996 @p849 @p995 @p928 @p967 @p553 @p550 @p988 @p548 @p984 @p546 @p821 @p980 @p531 @p818 @p794 @p799 @p788 @p752 @p748 @p410 @p726 @p705 @p474 @p437) :args ((or @t217 @t243 @t427 @t419) (@list true false false false false true true true true false false false false false false false false false false true true false false false false true true) (@list @t423 @t422 @t420 @t421 @t416 @t424 @t443 @t299 @t253 @t301 @t451 @t303 @t450 @t411 @t412 @t449 @t407 @t394 @t392 @t396 @t385 @t387 @t216 @t366 @t254 @t256 @t70))) % 2.33/2.58 (step @p998 :rule cnf_and_pos :args (@t416 1)) % 2.33/2.58 (step @p999 :rule reordering :premises (@p998) :args ((or @t415 @t417))) % 2.33/2.58 (step @p1000 :rule chain_m_resolution :premises (@p858 @p856 @p860 @p854 @p885 @p999 @p997 @p928 @p967 @p554 @p821 @p819 @p818 @p799 @p794 @p788 @p752 @p749 @p726 @p706 @p700 @p698 @p823 @p584 @p976) :args ((or @t217 @t243 @t351) (@list false true true true true true true true true false false false false false true true false false false false false true true true) (@list @t423 @t422 @t420 @t421 @t416 @t415 @t424 @t443 @t299 @t411 @t412 @t407 @t392 @t394 @t396 @t385 @t387 @t366 @t254 @t353 @t354 @t414 @t318 @t418))) % 2.33/2.58 (step @p1001 :rule refl :args (@t306)) % 2.33/2.58 (step @p1002 :rule nary_cong :premises (@p1001 @p990 @p561) :args ((or @t306 @t452 @t310))) % 2.33/2.58 (step @p1003 :rule cnf_and_neg :args (@t306)) % 2.33/2.58 (step @p1004 :rule eq_resolve :premises (@p1003 @p1002)) % 2.33/2.58 (step @p1005 :rule reordering :premises (@p1004) :args ((or @t217 @t306 @t310))) % 2.33/2.58 (step @p1006 :rule cnf_or_neg :args (@t313 1)) % 2.33/2.58 (step @p1007 :rule chain_m_resolution :premises (@p570 @p569 @p1006 @p567 @p1005 @p968) :args ((or @t242 @t315 @t310) (@list false false false false true) (@list @t314 @t313 @t311 @t306 @t217))) % 2.33/2.58 (step @p1008 :rule cnf_and_pos :args (@t306 1)) % 2.33/2.58 (step @p1009 :rule reordering :premises (@p1008) :args ((or @t305 @t307))) % 2.33/2.58 (step @p1010 :rule chain_m_resolution :premises (@p581 @p579 @p577 @p575 @p1009 @p1007 @p558 @p1000 @p974 @p970 @p968) :args (@t315 (@list true true true true true true true true true true) (@list @t314 @t313 @t311 @t306 @t305 @t308 @t242 @t351 @t309 @t217))) % 2.33/2.58 (step @p1011 :rule eq-symm :args (@t314 @t313)) % 2.33/2.58 (step @p1012 :rule eq-refl :args (@t313)) % 2.33/2.58 (step @p1013 :rule eq-symm :args (@t304 @t213)) % 2.33/2.58 (step @p1014 :rule nary_cong :premises (@p890 @p1013) :args (@t454)) % 2.33/2.58 (step @p1015 :rule nary_cong :premises (@p413 @p1013) :args (@t455)) % 2.33/2.58 (step @p1016 :rule nary_cong :premises (@p1015 @p1014) :args (@t456)) % 2.33/2.58 (step @p1017 :rule beta-reduce :args ((= @t457 @t456))) % 2.33/2.58 (step @p1018 :rule trans :premises (@p1017 @p1016)) % 2.33/2.58 (step @p1019 :rule refl :args (@t313)) % 2.33/2.58 (step @p1020 :rule cong :premises (@p1019 @p1018) :args ((= @t313 @t457))) % 2.33/2.58 (step @p1021 :rule trans :premises (@p1020 @p1012)) % 2.33/2.58 (step @p1022 :rule eq-symm :args (@t457 @t313)) % 2.33/2.58 (step @p1023 :rule trans :premises (@p1022 @p1021)) % 2.33/2.58 (step @p1024 :rule refl :args (@t304)) % 2.33/2.58 (step @p1025 :rule ho_cong :premises (@p493 @p1024)) % 2.33/2.58 (step @p1026 :rule cong :premises (@p1025 @p1019) :args ((= @t458 @t313))) % 2.33/2.58 (step @p1027 :rule trans :premises (@p1026 @p1023)) % 2.33/2.58 (step @p1028 :rule true_elim :premises (@p1027)) % 2.33/2.58 (step @p1029 :rule eq-refl :args (@t314)) % 2.33/2.58 (step @p1030 :rule nary_cong :premises (@p624 @p1013) :args (@t459)) % 2.33/2.58 (step @p1031 :rule eq-symm :args (@t304 @t245)) % 2.33/2.58 (step @p1032 :rule nary_cong :premises (@p457 @p1031) :args (@t460)) % 2.33/2.58 (step @p1033 :rule nary_cong :premises (@p1032 @p1030) :args (@t461)) % 2.33/2.58 (step @p1034 :rule beta-reduce :args ((= @t462 @t461))) % 2.33/2.58 (step @p1035 :rule trans :premises (@p1034 @p1033)) % 2.33/2.58 (step @p1036 :rule refl :args (@t314)) % 2.33/2.58 (step @p1037 :rule cong :premises (@p1036 @p1035) :args ((= @t314 @t462))) % 2.33/2.58 (step @p1038 :rule trans :premises (@p1037 @p1029)) % 2.33/2.58 (step @p1039 :rule eq-symm :args (@t462 @t314)) % 2.33/2.58 (step @p1040 :rule trans :premises (@p1039 @p1038)) % 2.33/2.58 (step @p1041 :rule ho_cong :premises (@p442 @p1024)) % 2.33/2.58 (step @p1042 :rule cong :premises (@p1041 @p1036) :args ((= @t463 @t314))) % 2.33/2.58 (step @p1043 :rule trans :premises (@p1042 @p1040)) % 2.33/2.58 (step @p1044 :rule true_elim :premises (@p1043)) % 2.33/2.58 (step @p1045 :rule cong :premises (@p1044 @p1028) :args (@t464)) % 2.33/2.58 (step @p1046 :rule trans :premises (@p1045 @p1011)) % 2.33/2.58 (step @p1047 :rule cong :premises (@p1046) :args (@t465)) % 2.33/2.58 (step @p1048 :rule refl :args (@t466)) % 2.33/2.58 (step @p1049 :rule nary_cong :premises (@p1048 @p1047) :args (@t467)) % 2.33/2.58 ; trust TRUST THEORY_LEMMA % 2.33/2.58 (step @p1050 :rule trust :premises () :args (@t467)) % 2.33/2.58 (step @p1051 :rule eq_resolve :premises (@p1050 @p1049)) % 2.33/2.58 (step @p1052 :rule chain_m_resolution :premises (@p1051 @p1010) :args (@t466 @t240 (@list @t315))) % 2.33/2.58 (step @p1053 :rule refl :args (@t468)) % 2.33/2.59 (step @p1054 :rule refl :args (@t469)) % 2.33/2.59 (step @p1055 :rule refl :args (@t280)) % 2.33/2.59 (step @p1056 :rule nary_cong :premises (@p1055 @p1054 @p932 @p1053) :args ((or @t280 @t469 @t447 @t468))) % 2.33/2.59 (assume-push @p1155 @t297) % 2.33/2.59 (assume-push @p1156 @t279) % 2.33/2.59 (assume-push @p1157 @t466) % 2.33/2.59 (assume-push @p1158 @t300) % 2.33/2.59 (step @p1061 :rule evaluate :args ((= false true))) % 2.33/2.59 (step @p1062 :rule true_intro :premises (@p545)) % 2.33/2.59 (step @p1063 :rule symm :premises (@p530)) % 2.33/2.59 (step @p1064 :rule cong :premises (@p417 @p1157) :args (@t251)) % 2.33/2.59 (step @p1065 :rule trans :premises (@p1064 @p1063)) % 2.33/2.59 (step @p1066 :rule cong :premises (@p1065) :args (@t252)) % 2.33/2.59 (step @p1067 :rule cong :premises (@p1066 @p1065) :args (@t299)) % 2.33/2.59 (step @p939 :rule false_intro :premises (@p554)) % 2.33/2.59 (step @p1068 :rule symm :premises (@p939)) % 2.33/2.59 (step @p1069 :rule trans :premises (@p1068 @p1067 @p1062)) % 2.33/2.59 (step @p1070 false :rule eq_resolve :premises (@p1069 @p1061)) % 2.33/2.59 (step-pop @p1159 :rule scope :premises (@p1070)) % 2.33/2.59 (step-pop @p1160 :rule scope :premises (@p1159)) % 2.33/2.59 (step-pop @p1161 :rule scope :premises (@p1160)) % 2.33/2.59 (step-pop @p1162 :rule scope :premises (@p1161)) % 2.33/2.59 (step @p1071 :rule process_scope :premises (@p1162) :args (false)) % 2.33/2.59 (assume-push @p1163 @t279) % 2.33/2.59 (assume-push @p1164 @t297) % 2.33/2.59 (assume-push @p1165 @t300) % 2.33/2.59 (assume-push @p1166 @t466) % 2.33/2.59 (step @p1080 :rule and_intro :premises (@p545 @p530 @p1166 @p554)) % 2.33/2.59 (step-pop @p1167 :rule scope :premises (@p1080)) % 2.33/2.59 (step-pop @p1168 :rule scope :premises (@p1167)) % 2.33/2.59 (step-pop @p1169 :rule scope :premises (@p1168)) % 2.33/2.59 (step-pop @p1170 :rule scope :premises (@p1169)) % 2.33/2.59 (step @p1081 :rule process_scope :premises (@p1170) :args (@t470)) % 2.33/2.59 (step @p1086 :rule implies_elim :premises (@p1081)) % 2.33/2.59 (step @p1087 :rule resolution :premises (@p1086 @p1071) :args (true @t470)) % 2.33/2.59 (step @p1088 :rule not_and :premises (@p1087)) % 2.33/2.59 (step @p1089 :rule eq_resolve :premises (@p1088 @p1056)) % 2.33/2.59 (step @p1090 false :rule chain_m_resolution :premises (@p1089 @p1052 @p554 @p545 @p530) :args (false (@list false true false false) (@list @t466 @t299 @t297 @t279))) % 2.33/2.59 ) % 2.33/2.59 % SZS output end Proof % 2.33/2.59 % cvc5 exiting %------------------------------------------------------------------------------