%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU639^2 : 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 : n029.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 08:52:32 AM UTC 2026 % Result : Theorem 158.49s 158.82s % Output : Proof 158.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU639^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:44:17 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 158.49/158.82 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 158.49/158.82 --- 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... % 158.49/158.82 --- 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... % 158.49/158.82 --- Run --ho-elim --full-saturate-quant at 18s... % 158.49/158.82 % SZS status Theorem % 158.49/158.82 % SZS output start Proof % 158.49/158.82 ( % 158.49/158.82 (declare-sort $$unsorted 0) % 158.49/158.82 (declare-const tptp.emptyset $$unsorted) % 158.49/158.82 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 158.49/158.82 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 158.49/158.82 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 158.49/158.82 (declare-const tptp.eqinunit Bool) % 158.49/158.82 (declare-const tptp.uniqinunit Bool) % 158.49/158.82 (declare-const tptp.setext Bool) % 158.49/158.82 (declare-const tptp.dsetconstrER Bool) % 158.49/158.82 (declare-const tptp.dsetconstrEL Bool) % 158.49/158.82 (declare-const tptp.dsetconstrI Bool) % 158.49/158.82 (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)))))))) % 158.49/158.82 (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1))))))))) % 158.49/158.82 (define @t1 () (@var "Xy" $$unsorted)) % 158.49/158.82 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 158.49/158.82 (define @t3 () (_ @t2 @t1)) % 158.49/158.82 (define @t4 () (@list @t1)) % 158.49/158.82 (define @t5 () (lambda @t4 @t3)) % 158.49/158.82 (define @t6 () (@var "A" $$unsorted)) % 158.49/158.82 (define @t7 () (_ tptp.dsetconstr @t6)) % 158.49/158.82 (define @t8 () (_ @t7 @t5)) % 158.49/158.82 (define @t9 () (@var "Xx" $$unsorted)) % 158.49/158.82 (define @t10 () (_ tptp.in @t9)) % 158.49/158.82 (define @t11 () (_ @t10 @t8)) % 158.49/158.82 (define @t12 () (_ @t2 @t9)) % 158.49/158.82 (define @t13 () (=> @t12 @t11)) % 158.49/158.82 (define @t14 () (_ @t10 @t6)) % 158.49/158.82 (define @t15 () (@list @t6 @t2 @t9)) % 158.49/158.82 (define @t16 () (forall @t15 (=> @t14 @t13))) % 158.49/158.82 (define @t17 () (= tptp.dsetconstrI @t16)) % 158.49/158.82 (define @t18 () (forall @t15 (=> @t11 @t14))) % 158.49/158.82 (define @t19 () (= tptp.dsetconstrEL @t18)) % 158.49/158.82 (define @t20 () (forall @t15 (=> @t11 @t12))) % 158.49/158.82 (define @t21 () (= tptp.dsetconstrER @t20)) % 158.49/158.82 (define @t22 () (@var "B" $$unsorted)) % 158.49/158.82 (define @t23 () (= @t6 @t22)) % 158.49/158.82 (define @t24 () (_ @t10 @t22)) % 158.49/158.82 (define @t25 () (@list @t9)) % 158.49/158.82 (define @t26 () (forall @t25 (=> @t24 @t14))) % 158.49/158.82 (define @t27 () (=> @t26 @t23)) % 158.49/158.82 (define @t28 () (forall @t25 (=> @t14 @t24))) % 158.49/158.82 (define @t29 () (=> @t28 @t27)) % 158.49/158.82 (define @t30 () (@list @t6 @t22)) % 158.49/158.82 (define @t31 () (forall @t30 @t29)) % 158.49/158.82 (define @t32 () (= tptp.setext @t31)) % 158.49/158.82 (define @t33 () (= @t9 @t1)) % 158.49/158.82 (define @t34 () (_ (_ tptp.setadjoin @t1) tptp.emptyset)) % 158.49/158.82 (define @t35 () (_ @t10 @t34)) % 158.49/158.82 (define @t36 () (@list @t9 @t1)) % 158.49/158.82 (define @t37 () (forall @t36 (=> @t35 @t33))) % 158.49/158.82 (define @t38 () (= tptp.uniqinunit @t37)) % 158.49/158.82 (define @t39 () (forall @t36 (=> @t33 @t35))) % 158.49/158.82 (define @t40 () (= tptp.eqinunit @t39)) % 158.49/158.82 (define @t41 () (=> @t3 (= @t1 @t9))) % 158.49/158.82 (define @t42 () (_ (_ tptp.in @t1) @t6)) % 158.49/158.82 (define @t43 () (=> @t42 @t41)) % 158.49/158.82 (define @t44 () (forall @t4 @t43)) % 158.49/158.82 (define @t45 () (=> @t44 (_ (_ tptp.ex1 @t6) @t5))) % 158.49/158.82 (define @t46 () (=> @t12 @t45)) % 158.49/158.82 (define @t47 () (=> @t14 @t46)) % 158.49/158.82 (define @t48 () (forall @t15 @t47)) % 158.49/158.82 (define @t49 () (=> tptp.eqinunit @t48)) % 158.49/158.82 (define @t50 () (=> tptp.uniqinunit @t49)) % 158.49/158.82 (define @t51 () (=> tptp.setext @t50)) % 158.49/158.82 (define @t52 () (=> tptp.dsetconstrER @t51)) % 158.49/158.82 (define @t53 () (=> tptp.dsetconstrEL @t52)) % 158.49/158.82 (define @t54 () (=> tptp.dsetconstrI @t53)) % 158.49/158.82 (define @t55 () (not @t54)) % 158.49/158.82 (define @t56 () (_ (_ tptp.setadjoin @t9) tptp.emptyset)) % 158.49/158.82 (define @t57 () (= @t6 @t56)) % 158.49/158.82 (define @t58 () (and @t14 @t57)) % 158.49/158.82 (define @t59 () (exists @t25 @t58)) % 158.49/158.82 (define @t60 () (@list @t6)) % 158.49/158.82 (define @t61 () (lambda @t60 @t59)) % 158.49/158.82 (define @t62 () (lambda @t25 @t12)) % 158.49/158.82 (define @t63 () (_ @t7 @t62)) % 158.49/158.82 (define @t64 () (@list @t6 @t2)) % 158.49/158.82 (define @t65 () (lambda @t64 (_ tptp.singleton @t63))) % 158.49/158.82 (define @t66 () (@var "BOUND_VARIABLE_7829" (@ho-elim-sort (-> $$unsorted Bool)))) % 158.49/158.82 (define @t67 () (@const 0 (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)))) % 158.49/158.82 (define @t68 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) $$unsorted (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))))) % 158.49/158.82 (define @t69 () (@const 2 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))) % 158.49/158.82 (define @t70 () (_ @t69 (_ @t68 @t67 @t6) @t66)) % 158.49/158.82 (define @t71 () (@var "BOUND_VARIABLE_7714" $$unsorted)) % 158.49/158.82 (define @t72 () (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)))) % 158.49/158.82 (define @t73 () (@const 4 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted))))) % 158.49/158.82 (define @t74 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 158.49/158.82 (define @t75 () (_ @t74 (_ @t73 @t72 @t71) tptp.emptyset)) % 158.49/158.82 (define @t76 () (not (= @t70 @t75))) % 158.49/158.82 (define @t77 () (@const 6 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 158.49/158.82 (define @t78 () (@const 7 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 158.49/158.82 (define @t79 () (_ @t78 @t77 @t71)) % 158.49/158.82 (define @t80 () (@const 8 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 158.49/158.82 (define @t81 () (not (_ @t80 @t79 @t70))) % 158.49/158.82 (define @t82 () (or @t81 @t76)) % 158.49/158.82 (define @t83 () (@list @t71)) % 158.49/158.82 (define @t84 () (forall @t83 @t82)) % 158.49/158.82 (define @t85 () (not @t84)) % 158.49/158.82 (define @t86 () (_ @t78 @t77 @t1)) % 158.49/158.82 (define @t87 () (not (forall @t4 (or (not (_ @t80 @t86 @t6)) (not (_ @t80 @t66 @t1)) @t33)))) % 158.49/158.82 (define @t88 () (_ @t80 @t66 @t9)) % 158.49/158.82 (define @t89 () (not @t88)) % 158.49/158.82 (define @t90 () (_ @t78 @t77 @t9)) % 158.49/158.82 (define @t91 () (_ @t80 @t90 @t6)) % 158.49/158.82 (define @t92 () (not @t91)) % 158.49/158.82 (define @t93 () (or @t92 @t89 @t87 @t85)) % 158.49/158.82 (define @t94 () (@list @t6 @t66 @t9)) % 158.49/158.82 (define @t95 () (forall @t94 @t93)) % 158.49/158.82 (define @t96 () (_ @t74 (_ @t73 @t72 @t1) tptp.emptyset)) % 158.49/158.82 (define @t97 () (forall @t4 (_ @t80 @t86 @t96))) % 158.49/158.82 (define @t98 () (=> @t97 @t95)) % 158.49/158.82 (define @t99 () (forall @t36 (or (not (_ @t80 @t90 @t96)) @t33))) % 158.49/158.82 (define @t100 () (=> @t99 @t98)) % 158.49/158.82 (define @t101 () (_ @t80 @t90 @t22)) % 158.49/158.82 (define @t102 () (forall @t30 (or (not (forall @t25 (or @t92 @t101))) (not (forall @t25 (or (not @t101) @t91))) @t23))) % 158.49/158.82 (define @t103 () (=> @t102 @t100)) % 158.49/158.82 (define @t104 () (_ @t80 @t90 @t70)) % 158.49/158.82 (define @t105 () (not @t104)) % 158.49/158.82 (define @t106 () (forall @t94 (or @t105 @t88))) % 158.49/158.82 (define @t107 () (=> @t106 @t103)) % 158.49/158.82 (define @t108 () (forall @t94 (or @t105 @t91))) % 158.49/158.82 (define @t109 () (=> @t108 @t107)) % 158.49/158.82 (define @t110 () (forall @t94 (or @t92 @t89 @t104))) % 158.49/158.82 (define @t111 () (=> @t110 @t109)) % 158.49/158.82 (define @t112 () (not @t111)) % 158.49/158.82 (define @t113 () (tptp.setadjoin @t71 tptp.emptyset)) % 158.49/158.82 (define @t114 () (tptp.dsetconstr @t6 @t2)) % 158.49/158.82 (define @t115 () (not (tptp.in @t71 @t114))) % 158.49/158.82 (define @t116 () (not (forall @t83 (or @t115 (not (= @t114 @t113)))))) % 158.49/158.82 (define @t117 () (_ @t2 @t1)) % 158.49/158.82 (define @t118 () (tptp.in @t1 @t6)) % 158.49/158.82 (define @t119 () (forall @t4 (or (not @t118) (not @t117) @t33))) % 158.49/158.82 (define @t120 () (not @t119)) % 158.49/158.82 (define @t121 () (_ @t2 @t9)) % 158.49/158.82 (define @t122 () (not @t121)) % 158.49/158.82 (define @t123 () (tptp.in @t9 @t6)) % 158.49/158.82 (define @t124 () (not @t123)) % 158.49/158.82 (define @t125 () (forall @t15 (or @t124 @t122 @t120 @t116))) % 158.49/158.82 (define @t126 () (tptp.setadjoin @t1 tptp.emptyset)) % 158.49/158.82 (define @t127 () (tptp.in @t1 @t126)) % 158.49/158.82 (define @t128 () (tptp.in @t9 @t126)) % 158.49/158.82 (define @t129 () (tptp.in @t9 @t22)) % 158.49/158.82 (define @t130 () (forall @t25 (or (not @t129) @t123))) % 158.49/158.82 (define @t131 () (not @t130)) % 158.49/158.82 (define @t132 () (forall @t25 (or @t124 @t129))) % 158.49/158.82 (define @t133 () (not @t132)) % 158.49/158.82 (define @t134 () (or @t133 @t131 @t23)) % 158.49/158.82 (define @t135 () (tptp.in @t9 @t114)) % 158.49/158.82 (define @t136 () (not @t135)) % 158.49/158.82 (define @t137 () (not (= @t1 @t1))) % 158.49/158.82 (define @t138 () (or @t137 @t127)) % 158.49/158.82 (define @t139 () (not @t33)) % 158.49/158.82 (define @t140 () (or @t139 @t139 @t128)) % 158.49/158.82 (define @t141 () (or @t139 @t128)) % 158.49/158.82 (define @t142 () (forall @t25 @t141)) % 158.49/158.82 (define @t143 () (forall @t4 @t142)) % 158.49/158.82 (define @t144 () (forall (@list @t1 @t9) @t141)) % 158.49/158.82 (define @t145 () (or @t139 @t35)) % 158.49/158.82 (define @t146 () (=> tptp.eqinunit @t125)) % 158.49/158.82 (define @t147 () (not @t35)) % 158.49/158.82 (define @t148 () (or @t147 @t33)) % 158.49/158.82 (define @t149 () (=> tptp.uniqinunit @t146)) % 158.49/158.82 (define @t150 () (=> @t130 @t23)) % 158.49/158.82 (define @t151 () (not @t24)) % 158.49/158.82 (define @t152 () (or @t151 @t14)) % 158.49/158.82 (define @t153 () (not @t14)) % 158.49/158.82 (define @t154 () (or @t153 @t24)) % 158.49/158.82 (define @t155 () (=> tptp.setext @t149)) % 158.49/158.82 (define @t156 () (lambda @t4 @t117)) % 158.49/158.82 (define @t157 () (tptp.dsetconstr @t6 @t156)) % 158.49/158.82 (define @t158 () (tptp.in @t9 @t157)) % 158.49/158.82 (define @t159 () (not @t158)) % 158.49/158.82 (define @t160 () (or @t159 @t121)) % 158.49/158.82 (define @t161 () (tptp.dsetconstr @t6 @t5)) % 158.49/158.82 (define @t162 () (not @t11)) % 158.49/158.82 (define @t163 () (or @t162 @t12)) % 158.49/158.82 (define @t164 () (=> tptp.dsetconstrER @t155)) % 158.49/158.82 (define @t165 () (or @t159 @t123)) % 158.49/158.82 (define @t166 () (or @t162 @t14)) % 158.49/158.82 (define @t167 () (=> tptp.dsetconstrEL @t164)) % 158.49/158.82 (define @t168 () (or @t124 @t122 @t158)) % 158.49/158.82 (define @t169 () (not @t12)) % 158.49/158.82 (define @t170 () (or @t153 @t169 @t11)) % 158.49/158.82 (define @t171 () (=> tptp.dsetconstrI @t167)) % 158.49/158.82 (define @t172 () (or @t153 @t169 @t120 @t116)) % 158.49/158.82 (define @t173 () (or @t169 @t120 @t116)) % 158.49/158.82 (define @t174 () (=> @t119 @t116)) % 158.49/158.82 (define @t175 () (=> @t12 @t174)) % 158.49/158.82 (define @t176 () (not (= @t113 @t114))) % 158.49/158.82 (define @t177 () (or @t115 @t176)) % 158.49/158.82 (define @t178 () (forall @t83 @t177)) % 158.49/158.82 (define @t179 () (not @t178)) % 158.49/158.82 (define @t180 () (=> @t119 @t179)) % 158.49/158.82 (define @t181 () (=> @t12 @t180)) % 158.49/158.82 (define @t182 () (=> @t14 @t181)) % 158.49/158.82 (define @t183 () (tptp.setadjoin @t9 tptp.emptyset)) % 158.49/158.82 (define @t184 () (forall @t25 (or @t136 (not (= @t183 @t114))))) % 158.49/158.82 (define @t185 () (@list @t9)) % 158.49/158.82 (define @t186 () (not @t184)) % 158.49/158.82 (define @t187 () (=> @t119 @t186)) % 158.49/158.82 (define @t188 () (=> @t12 @t187)) % 158.49/158.82 (define @t189 () (=> @t14 @t188)) % 158.49/158.82 (define @t190 () (= @t183 @t157)) % 158.49/158.82 (define @t191 () (not @t190)) % 158.49/158.82 (define @t192 () (or @t159 @t191)) % 158.49/158.82 (define @t193 () (= @t183 @t161)) % 158.49/158.82 (define @t194 () (not @t193)) % 158.49/158.82 (define @t195 () (tptp.in @t9 @t161)) % 158.49/158.82 (define @t196 () (not @t195)) % 158.49/158.82 (define @t197 () (or @t196 @t194)) % 158.49/158.82 (define @t198 () (forall @t25 @t197)) % 158.49/158.82 (define @t199 () (not @t198)) % 158.49/158.82 (define @t200 () (lambda (@list @t2) @t186)) % 158.49/158.82 (define @t201 () (_ (lambda @t64 @t186) @t6)) % 158.49/158.82 (define @t202 () (not @t3)) % 158.49/158.82 (define @t203 () (not @t42)) % 158.49/158.82 (define @t204 () (or @t203 @t202 @t33)) % 158.49/158.82 (define @t205 () (=> @t3 @t33)) % 158.49/158.82 (define @t206 () (=> @t44 (_ @t201 @t5))) % 158.49/158.82 (define @t207 () (=> @t12 @t206)) % 158.49/158.82 (define @t208 () (=> @t14 @t207)) % 158.49/158.82 (define @t209 () (forall @t15 @t208)) % 158.49/158.82 (define @t210 () (=> tptp.eqinunit @t209)) % 158.49/158.82 (define @t211 () (=> tptp.uniqinunit @t210)) % 158.49/158.82 (define @t212 () (=> tptp.setext @t211)) % 158.49/158.82 (define @t213 () (=> tptp.dsetconstrER @t212)) % 158.49/158.82 (define @t214 () (=> tptp.dsetconstrEL @t213)) % 158.49/158.82 (define @t215 () (=> tptp.dsetconstrI @t214)) % 158.49/158.82 (define @t216 () (@var "BOUND_VARIABLE_7522" $$unsorted)) % 158.49/158.82 (define @t217 () (_ @t2 @t216)) % 158.49/158.82 (define @t218 () (@list @t216)) % 158.49/158.82 (define @t219 () (lambda @t218 @t217)) % 158.49/158.82 (define @t220 () (tptp.dsetconstr @t6 @t219)) % 158.49/158.82 (define @t221 () (= @t183 @t220)) % 158.49/158.82 (define @t222 () (not @t221)) % 158.49/158.82 (define @t223 () (tptp.in @t9 @t220)) % 158.49/158.82 (define @t224 () (not @t223)) % 158.49/158.82 (define @t225 () (or @t224 @t222)) % 158.49/158.82 (define @t226 () (_ @t2 @t216)) % 158.49/158.82 (define @t227 () (lambda @t218 @t226)) % 158.49/158.82 (define @t228 () (_ @t7 @t227)) % 158.49/158.82 (define @t229 () (= @t183 @t228)) % 158.49/158.82 (define @t230 () (not @t229)) % 158.49/158.82 (define @t231 () (tptp.in @t9 @t228)) % 158.49/158.82 (define @t232 () (not @t231)) % 158.49/158.82 (define @t233 () (or @t232 @t230)) % 158.49/158.82 (define @t234 () (= @t183 @t63)) % 158.49/158.82 (define @t235 () (not @t234)) % 158.49/158.82 (define @t236 () (tptp.in @t9 @t63)) % 158.49/158.82 (define @t237 () (not @t236)) % 158.49/158.82 (define @t238 () (or @t237 @t235)) % 158.49/158.82 (define @t239 () (not (= @t63 @t183))) % 158.49/158.82 (define @t240 () (or @t237 @t239)) % 158.49/158.82 (define @t241 () (forall @t25 @t240)) % 158.49/158.82 (define @t242 () (not @t241)) % 158.49/158.82 (define @t243 () (not @t57)) % 158.49/158.82 (define @t244 () (or @t153 @t243)) % 158.49/158.82 (define @t245 () (forall @t25 (not @t58))) % 158.49/158.82 (define @t246 () (not @t245)) % 158.49/158.82 (define @t247 () (forall @t94 (or @t92 @t89 @t87 (not (forall @t83 (or @t81 (not (= @t75 @t70)))))))) % 158.49/158.82 (define @t248 () (@quantifiers_skolemize @t247 2)) % 158.49/158.82 (define @t249 () (@quantifiers_skolemize @t247 1)) % 158.49/158.82 (define @t250 () (@quantifiers_skolemize @t247 0)) % 158.49/158.82 (define @t251 () (_ @t69 (_ @t68 @t67 @t250) @t249)) % 158.49/158.82 (define @t252 () (forall @t83 (or (not (_ @t80 @t79 @t251)) (not (= @t75 @t251))))) % 158.49/158.82 (define @t253 () (not @t252)) % 158.49/158.82 (define @t254 () (not (_ @t80 @t249 @t1))) % 158.49/158.82 (define @t255 () (not (_ @t80 @t86 @t250))) % 158.49/158.82 (define @t256 () (forall @t4 (or @t255 @t254 (= @t1 @t248)))) % 158.49/158.82 (define @t257 () (not @t256)) % 158.49/158.82 (define @t258 () (_ @t80 @t249 @t248)) % 158.49/158.82 (define @t259 () (not @t258)) % 158.49/158.82 (define @t260 () (_ @t78 @t77 @t248)) % 158.49/158.82 (define @t261 () (_ @t80 @t260 @t250)) % 158.49/158.82 (define @t262 () (not @t261)) % 158.49/158.82 (define @t263 () (or @t262 @t259 @t257 @t253)) % 158.49/158.82 (define @t264 () (not @t263)) % 158.49/158.82 (define @t265 () (not @t247)) % 158.49/158.82 (define @t266 () (or @t255 @t254 (= @t248 @t1))) % 158.49/158.82 (define @t267 () (forall @t4 @t266)) % 158.49/158.82 (define @t268 () (not @t267)) % 158.49/158.82 (define @t269 () (or @t262 @t259 @t268 @t253)) % 158.49/158.82 (define @t270 () (not @t269)) % 158.49/158.82 (define @t271 () (@list true)) % 158.49/158.82 (define @t272 () (@list @t263)) % 158.49/158.82 (define @t273 () (_ @t80 @t260 @t251)) % 158.49/158.82 (define @t274 () (or @t262 @t259 @t273)) % 158.49/158.82 (define @t275 () (_ @t74 (_ @t73 @t72 @t248) tptp.emptyset)) % 158.49/158.82 (define @t276 () (_ @t80 @t90 @t275)) % 158.49/158.82 (define @t277 () (_ @t80 @t90 @t251)) % 158.49/158.82 (define @t278 () (forall @t25 (or (not @t277) @t276))) % 158.49/158.82 (define @t279 () (not @t278)) % 158.49/158.82 (define @t280 () (forall @t25 (or (not @t276) @t277))) % 158.49/158.82 (define @t281 () (not @t280)) % 158.49/158.82 (define @t282 () (= @t275 @t251)) % 158.49/158.82 (define @t283 () (or @t281 @t279 @t282)) % 158.49/158.82 (define @t284 () (= @t251 @t275)) % 158.49/158.82 (define @t285 () (or @t281 @t279 @t284)) % 158.49/158.82 (define @t286 () (@list false)) % 158.49/158.82 (define @t287 () (@quantifiers_skolemize @t278 0)) % 158.49/158.82 (define @t288 () (_ @t78 @t77 @t287)) % 158.49/158.82 (define @t289 () (_ @t80 @t288 @t251)) % 158.49/158.82 (define @t290 () (_ @t80 @t288 @t275)) % 158.49/158.82 (define @t291 () (not @t289)) % 158.49/158.82 (define @t292 () (or @t291 @t290)) % 158.49/158.82 (define @t293 () (@list @t250 @t249 @t287)) % 158.49/158.82 (define @t294 () (_ @t80 @t249 @t287)) % 158.49/158.82 (define @t295 () (or @t291 @t294)) % 158.49/158.82 (define @t296 () (_ @t80 @t288 @t250)) % 158.49/158.82 (define @t297 () (or @t291 @t296)) % 158.49/158.82 (define @t298 () (not @t294)) % 158.49/158.82 (define @t299 () (not @t296)) % 158.49/158.82 (define @t300 () (or @t299 @t298 (= @t287 @t248))) % 158.49/158.82 (define @t301 () (= @t248 @t287)) % 158.49/158.82 (define @t302 () (or @t299 @t298 @t301)) % 158.49/158.82 (define @t303 () (@list @t248)) % 158.49/158.82 (define @t304 () (not @t301)) % 158.49/158.82 (define @t305 () (_ @t80 @t260 @t275)) % 158.49/158.82 (define @t306 () (not @t305)) % 158.49/158.82 (define @t307 () (not @t290)) % 158.49/158.82 (define @t308 () (= false true)) % 158.49/158.82 (define @t309 () (and @t305 @t301 @t307)) % 158.49/158.82 (define @t310 () (not @t292)) % 158.49/158.82 (define @t311 () (not @t282)) % 158.49/158.82 (define @t312 () (not @t273)) % 158.49/158.82 (define @t313 () (or @t312 @t311)) % 158.49/158.82 (define @t314 () (not @t284)) % 158.49/158.82 (define @t315 () (or @t312 @t314)) % 158.49/158.82 (define @t316 () (@list false false)) % 158.49/158.82 (define @t317 () (@quantifiers_skolemize @t280 0)) % 158.49/158.82 (define @t318 () (_ @t78 @t77 @t317)) % 158.49/158.82 (define @t319 () (_ @t80 @t318 @t251)) % 158.49/158.82 (define @t320 () (_ @t80 @t318 @t275)) % 158.49/158.82 (define @t321 () (not @t320)) % 158.49/158.82 (define @t322 () (or @t321 @t319)) % 158.49/158.82 (define @t323 () (not @t322)) % 158.49/158.82 (define @t324 () (not @t319)) % 158.49/158.82 (define @t325 () (@list @t322)) % 158.49/158.82 (define @t326 () (or @t321 (= @t317 @t248))) % 158.49/158.82 (define @t327 () (= @t248 @t317)) % 158.49/158.82 (define @t328 () (or @t321 @t327)) % 158.49/158.82 (define @t329 () (not @t327)) % 158.49/158.82 (define @t330 () (and @t273 @t327 @t324)) % 158.49/158.82 (assume @p1 @t17) % 158.49/158.82 (assume @p2 @t19) % 158.49/158.82 (assume @p3 @t21) % 158.49/158.82 (assume @p4 @t32) % 158.49/158.82 (assume @p5 @t38) % 158.49/158.82 (assume @p6 @t40) % 158.49/158.82 (assume @p7 @t55) % 158.49/158.82 (assume @p8 true) % 158.49/158.82 (step @p9 (= tptp.singleton @t61) :rule refl :args (@t61)) % 158.49/158.82 (step @p10 (= tptp.ex1 @t65) :rule refl :args (@t65)) % 158.49/158.82 (step @p11 :rule eq-symm :args (@t70 @t75)) % 158.49/158.82 (step @p12 :rule cong :premises (@p11) :args (@t76)) % 158.49/158.82 (step @p13 :rule refl :args (@t81)) % 158.49/158.82 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t82)) % 158.49/158.82 (step @p15 :rule cong :premises (@p14) :args (@t84)) % 158.49/158.82 (step @p16 :rule cong :premises (@p15) :args (@t85)) % 158.49/158.82 (step @p17 :rule refl :args (@t87)) % 158.49/158.82 (step @p18 :rule refl :args (@t89)) % 158.49/158.82 (step @p19 :rule refl :args (@t92)) % 158.49/158.82 (step @p20 :rule nary_cong :premises (@p19 @p18 @p17 @p16) :args (@t93)) % 158.49/158.82 (step @p21 :rule cong :premises (@p20) :args (@t95)) % 158.49/158.82 (step @p22 :rule refl :args (@t97)) % 158.49/158.82 (step @p23 :rule cong :premises (@p22 @p21) :args (@t98)) % 158.49/158.82 (step @p24 :rule refl :args (@t99)) % 158.49/158.82 (step @p25 :rule cong :premises (@p24 @p23) :args (@t100)) % 158.49/158.82 (step @p26 :rule refl :args (@t102)) % 158.49/158.82 (step @p27 :rule cong :premises (@p26 @p25) :args (@t103)) % 158.49/158.82 (step @p28 :rule refl :args (@t106)) % 158.49/158.82 (step @p29 :rule cong :premises (@p28 @p27) :args (@t107)) % 158.49/158.82 (step @p30 :rule refl :args (@t108)) % 158.49/158.82 (step @p31 :rule cong :premises (@p30 @p29) :args (@t109)) % 158.49/158.82 (step @p32 :rule refl :args (@t110)) % 158.49/158.82 (step @p33 :rule cong :premises (@p32 @p31) :args (@t111)) % 158.49/158.82 (step @p34 :rule cong :premises (@p33) :args (@t112)) % 158.49/158.82 ; WARNING: add trust step for TRUST % 158.49/158.82 ; trust TRUST PREPROCESS_HO_ELIM % 158.49/158.82 (step @p35 :rule trust :premises () :args ((= (not (=> (forall @t15 (or @t124 @t122 @t135)) (=> (forall @t15 (or @t136 @t123)) (=> (forall @t15 (or @t136 @t121)) (=> (forall @t30 @t134) (=> (forall @t36 (or (not @t128) @t33)) (=> (forall @t4 @t127) @t125))))))) @t112))) % 158.49/158.82 (step @p36 :rule refl :args (@t125)) % 158.49/158.82 (step @p37 :rule aci_norm :args ((= (or false @t127) @t127))) % 158.49/158.82 (step @p38 :rule refl :args (@t127)) % 158.49/158.82 (step @p39 :rule evaluate :args ((not true))) % 158.49/158.82 (step @p40 :rule eq-refl :args (@t1)) % 158.49/158.82 (step @p41 :rule cong :premises (@p40) :args (@t137)) % 158.49/158.82 (step @p42 :rule trans :premises (@p41 @p39)) % 158.49/158.82 (step @p43 :rule nary_cong :premises (@p42 @p38) :args (@t138)) % 158.49/158.82 (step @p44 :rule trans :premises (@p43 @p37)) % 158.49/158.82 (step @p45 :rule cong :premises (@p44) :args ((forall @t4 @t138))) % 158.49/158.82 (step @p46 :rule quant-var-elim-eq :args ((= (forall @t25 @t140) @t138))) % 158.49/158.82 (step @p47 :rule aci_norm :args ((= @t141 @t140))) % 158.49/158.82 (step @p48 :rule cong :premises (@p47) :args (@t142)) % 158.49/158.82 (step @p49 :rule trans :premises (@p48 @p46)) % 158.49/158.82 (step @p50 :rule cong :premises (@p49) :args (@t143)) % 158.49/158.82 (step @p51 :rule quant-merge-prenex :args ((= @t143 @t144))) % 158.49/158.82 (step @p52 :rule symm :premises (@p51)) % 158.49/158.82 (step @p53 :rule quant_var_reordering :args ((= (forall @t36 @t141) @t144))) % 158.49/158.82 (step @p54 :rule trans :premises (@p53 @p52 @p50)) % 158.49/158.82 (step @p55 :rule trans :premises (@p54 @p45)) % 158.49/158.82 (step @p56 :rule refl :args ((tptp.in @t9 @t34))) % 158.49/158.82 (step @p57 :rule refl :args (@t126)) % 158.49/158.82 (step @p58 :rule refl :args (@t9)) % 158.49/158.82 (step @p59 :rule cong :premises (@p58 @p57) :args (@t128)) % 158.49/158.82 (step @p60 :rule trans :premises (@p59 @p56)) % 158.49/158.82 (step @p61 :rule refl :args (@t10)) % 158.49/158.82 (step @p62 :rule ho_cong :premises (@p61 @p57)) % 158.49/158.82 (step @p63 :rule cong :premises (@p62 @p60) :args ((= (_ @t10 @t126) @t128))) % 158.49/158.82 (step @p64 :rule symm :premises (@p63)) % 158.49/158.82 (step @p65 :rule refl :args (@t35)) % 158.49/158.82 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 158.49/158.82 (step @p67 :rule refl :args (@t34)) % 158.49/158.82 (step @p68 :rule cong :premises (@p67 @p57) :args ((= @t34 @t126))) % 158.49/158.82 (step @p69 :rule symm :premises (@p68)) % 158.49/158.82 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 158.49/158.82 (step @p71 :rule ho_cong :premises (@p61 @p70)) % 158.49/158.82 (step @p72 :rule trans :premises (@p71 @p66)) % 158.49/158.82 (step @p73 :rule refl :args (@t139)) % 158.49/158.82 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t145)) % 158.49/158.82 (step @p75 :rule cong :premises (@p74) :args ((forall @t36 @t145))) % 158.49/158.82 (step @p76 :rule trans :premises (@p75 @p55)) % 158.49/158.82 (step @p77 :rule bool-impl-elim :args (@t33 @t35)) % 158.49/158.82 (step @p78 :rule cong :premises (@p77) :args (@t39)) % 158.49/158.82 (step @p79 :rule trans :premises (@p78 @p76)) % 158.49/158.82 (step @p80 :rule refl :args (tptp.eqinunit)) % 158.49/158.82 (step @p81 :rule cong :premises (@p80 @p79) :args (@t40)) % 158.49/158.82 (step @p82 :rule eq_resolve :premises (@p6 @p81)) % 158.49/158.82 (step @p83 :rule cong :premises (@p82 @p36) :args (@t146)) % 158.49/158.82 (step @p84 :rule refl :args (@t33)) % 158.49/158.82 (step @p85 :rule cong :premises (@p72) :args (@t147)) % 158.49/158.82 (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t148)) % 158.49/158.82 (step @p87 :rule cong :premises (@p86) :args ((forall @t36 @t148))) % 158.49/158.82 (step @p88 :rule bool-impl-elim :args (@t35 @t33)) % 158.49/158.82 (step @p89 :rule cong :premises (@p88) :args (@t37)) % 158.49/158.82 (step @p90 :rule trans :premises (@p89 @p87)) % 158.49/158.82 (step @p91 :rule refl :args (tptp.uniqinunit)) % 158.49/158.82 (step @p92 :rule cong :premises (@p91 @p90) :args (@t38)) % 158.49/158.82 (step @p93 :rule eq_resolve :premises (@p5 @p92)) % 158.49/158.82 (step @p94 :rule cong :premises (@p93 @p83) :args (@t149)) % 158.49/158.82 (step @p95 :rule aci_norm :args ((= (or @t133 (or @t131 @t23)) @t134))) % 158.49/158.82 (step @p96 :rule bool-impl-elim :args (@t130 @t23)) % 158.49/158.82 (step @p97 :rule refl :args (@t133)) % 158.49/158.82 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t133 @t150))) % 158.49/158.82 (step @p99 :rule trans :premises (@p98 @p95)) % 158.49/158.82 (step @p100 :rule bool-impl-elim :args (@t132 @t150)) % 158.49/158.82 (step @p101 :rule trans :premises (@p100 @p99)) % 158.49/158.82 (step @p102 :rule cong :premises (@p101) :args ((forall @t30 (=> @t132 @t150)))) % 158.49/158.82 (step @p103 :rule refl :args (@t23)) % 158.49/158.82 (step @p104 :rule refl :args (@t123)) % 158.49/158.82 (step @p105 :rule refl :args (@t14)) % 158.49/158.82 (step @p106 :rule cong :premises (@p105 @p104) :args ((= @t14 @t123))) % 158.49/158.82 (step @p107 :rule symm :premises (@p106)) % 158.49/158.82 (step @p108 :rule eq_resolve :premises (@p105 @p107)) % 158.49/158.82 (step @p109 :rule refl :args (@t129)) % 158.49/158.82 (step @p110 :rule refl :args (@t24)) % 158.49/158.82 (step @p111 :rule cong :premises (@p110 @p109) :args ((= @t24 @t129))) % 158.49/158.82 (step @p112 :rule symm :premises (@p111)) % 158.49/158.82 (step @p113 :rule eq_resolve :premises (@p110 @p112)) % 158.49/158.82 (step @p114 :rule cong :premises (@p113) :args (@t151)) % 158.49/158.82 (step @p115 :rule nary_cong :premises (@p114 @p108) :args (@t152)) % 158.49/158.82 (step @p116 :rule cong :premises (@p115) :args ((forall @t25 @t152))) % 158.49/158.82 (step @p117 :rule bool-impl-elim :args (@t24 @t14)) % 158.49/158.82 (step @p118 :rule cong :premises (@p117) :args (@t26)) % 158.49/158.82 (step @p119 :rule trans :premises (@p118 @p116)) % 158.49/158.82 (step @p120 :rule cong :premises (@p119 @p103) :args (@t27)) % 158.49/158.82 (step @p121 :rule cong :premises (@p108) :args (@t153)) % 158.49/158.82 (step @p122 :rule nary_cong :premises (@p121 @p113) :args (@t154)) % 158.49/158.82 (step @p123 :rule cong :premises (@p122) :args ((forall @t25 @t154))) % 158.49/158.82 (step @p124 :rule bool-impl-elim :args (@t14 @t24)) % 158.49/158.82 (step @p125 :rule cong :premises (@p124) :args (@t28)) % 158.49/158.82 (step @p126 :rule trans :premises (@p125 @p123)) % 158.49/158.82 (step @p127 :rule cong :premises (@p126 @p120) :args (@t29)) % 158.49/158.82 (step @p128 :rule cong :premises (@p127) :args (@t31)) % 158.49/158.82 (step @p129 :rule trans :premises (@p128 @p102)) % 158.49/158.82 (step @p130 :rule refl :args (tptp.setext)) % 158.49/158.82 (step @p131 :rule cong :premises (@p130 @p129) :args (@t32)) % 158.49/158.82 (step @p132 :rule eq_resolve :premises (@p4 @p131)) % 158.49/158.82 (step @p133 :rule cong :premises (@p132 @p94) :args (@t155)) % 158.49/158.82 (step @p134 :rule refl :args (@t121)) % 158.49/158.82 (step @p135 :rule lambda-elim :args ((= @t156 @t2))) % 158.49/158.82 (step @p136 :rule refl :args (@t6)) % 158.49/158.82 (step @p137 :rule cong :premises (@p136 @p135) :args (@t157)) % 158.49/158.82 (step @p138 :rule refl :args (@t9)) % 158.49/158.82 (step @p139 :rule cong :premises (@p138 @p137) :args (@t158)) % 158.49/158.82 (step @p140 :rule cong :premises (@p139) :args (@t159)) % 158.49/158.82 (step @p141 :rule nary_cong :premises (@p140 @p134) :args (@t160)) % 158.49/158.82 (step @p142 :rule cong :premises (@p141) :args ((forall @t15 @t160))) % 158.49/158.82 (step @p143 :rule refl :args (@t121)) % 158.49/158.82 (step @p144 :rule refl :args (@t12)) % 158.49/158.82 (step @p145 :rule cong :premises (@p144 @p143) :args ((= @t12 @t121))) % 158.49/158.82 (step @p146 :rule symm :premises (@p145)) % 158.49/158.82 (step @p147 :rule eq_resolve :premises (@p144 @p146)) % 158.49/158.82 (step @p148 :rule refl :args ((tptp.in @t9 @t8))) % 158.49/158.82 (step @p149 :rule refl :args (@t161)) % 158.49/158.82 (step @p150 :rule refl :args (@t117)) % 158.49/158.82 (step @p151 :rule cong :premises (@p150) :args (@t156)) % 158.49/158.82 (step @p152 :rule refl :args (@t6)) % 158.49/158.82 (step @p153 :rule cong :premises (@p152 @p151) :args (@t157)) % 158.49/158.82 (step @p154 :rule trans :premises (@p153 @p149)) % 158.49/158.82 (step @p155 :rule cong :premises (@p58 @p154) :args (@t158)) % 158.49/158.82 (step @p156 :rule trans :premises (@p155 @p148)) % 158.49/158.82 (step @p157 :rule ho_cong :premises (@p61 @p154)) % 158.49/158.82 (step @p158 :rule cong :premises (@p157 @p156) :args ((= (_ @t10 @t157) @t158))) % 158.49/158.82 (step @p159 :rule symm :premises (@p158)) % 158.49/158.82 (step @p160 :rule refl :args (@t11)) % 158.49/158.82 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 158.49/158.82 (step @p162 :rule refl :args (@t7)) % 158.49/158.82 (step @p163 :rule ho_cong :premises (@p162 @p151)) % 158.49/158.82 (step @p164 :rule cong :premises (@p163 @p154) :args ((= (_ @t7 @t156) @t157))) % 158.49/158.82 (step @p165 :rule symm :premises (@p164)) % 158.49/158.82 (step @p166 :rule refl :args (@t8)) % 158.49/158.82 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 158.49/158.82 (step @p168 :rule refl :args (@t3)) % 158.49/158.82 (step @p169 :rule cong :premises (@p168 @p150) :args ((= @t3 @t117))) % 158.49/158.82 (step @p170 :rule symm :premises (@p169)) % 158.49/158.82 (step @p171 :rule eq_resolve :premises (@p168 @p170)) % 158.49/158.82 (step @p172 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(@p406 @p320)) % 158.49/158.82 (step @p408 :rule trans :premises (@p407 @p222 @p35 @p34)) % 158.49/158.82 (step @p409 :rule eq_resolve :premises (@p7 @p408)) % 158.49/158.82 (step @p410 :rule not_implies_elim1 :premises (@p409)) % 158.49/158.82 (step @p411 :rule instantiate :premises (@p410) :args ((@list @t250 @t249 @t248))) % 158.49/158.82 (step @p412 :rule not_implies_elim2 :premises (@p409)) % 158.49/158.82 (step @p413 :rule not_implies_elim2 :premises (@p412)) % 158.49/158.82 (step @p414 :rule not_implies_elim2 :premises (@p413)) % 158.49/158.82 (step @p415 :rule not_implies_elim2 :premises (@p414)) % 158.49/158.82 (step @p416 :rule not_implies_elim2 :premises (@p415)) % 158.49/158.82 (step @p417 :rule not_implies_elim2 :premises (@p416)) % 158.49/158.82 (step @p418 :rule refl :args (@t264)) % 158.49/158.82 (step @p419 :rule bool-double-not-elim :args (@t247)) % 158.49/158.82 (step @p420 :rule nary_cong :premises (@p419 @p418) :args ((or (not @t265) @t264))) % 158.49/158.82 (step @p421 :rule refl :args (@t253)) % 158.49/158.82 (step @p422 :rule eq-symm :args (@t248 @t1)) % 158.49/158.82 (step @p423 :rule refl :args (@t254)) % 158.49/158.82 (step @p424 :rule refl :args (@t255)) % 158.49/158.82 (step @p425 :rule nary_cong :premises (@p424 @p423 @p422) :args (@t266)) % 158.49/158.82 (step @p426 :rule cong :premises (@p425) :args (@t267)) % 158.49/158.82 (step @p427 :rule cong :premises (@p426) :args (@t268)) % 158.49/158.82 (step @p428 :rule refl :args (@t259)) % 158.49/158.82 (step @p429 :rule refl :args (@t262)) % 158.49/158.82 (step @p430 :rule nary_cong :premises (@p429 @p428 @p427 @p421) :args (@t269)) % 158.49/158.82 (step @p431 :rule cong :premises (@p430) :args (@t270)) % 158.49/158.82 (step @p432 :rule refl :args (@t265)) % 158.49/158.82 (step @p433 :rule cong :premises (@p432 @p431) :args ((=> @t265 @t270))) % 158.49/158.82 (assume-push @p644 @t265) % 158.49/158.82 (step @p435 :rule skolemize :premises (@p417)) % 158.49/158.82 (step-pop @p645 :rule scope :premises (@p435)) % 158.49/158.82 (step @p436 :rule process_scope :premises (@p645) :args (@t270)) % 158.49/158.82 (step @p438 :rule eq_resolve :premises (@p436 @p433)) % 158.49/158.82 (step @p439 :rule implies_elim :premises (@p438)) % 158.49/158.82 (step @p440 :rule eq_resolve :premises (@p439 @p420)) % 158.49/158.82 (step @p441 :rule chain_m_resolution :premises (@p440 @p417) :args (@t264 @t271 (@list @t247))) % 158.49/158.82 (step @p442 :rule bool-double-not-elim :args (@t258)) % 158.49/158.82 (step @p443 :rule refl :args (@t263)) % 158.49/158.82 (step @p444 :rule nary_cong :premises (@p443 @p442) :args ((or @t263 (not @t259)))) % 158.49/158.82 (step @p445 :rule cnf_or_neg :args (@t263 1)) % 158.49/158.82 (step @p446 :rule eq_resolve :premises (@p445 @p444)) % 158.49/158.82 (step @p447 :rule reordering :premises (@p446) :args ((or @t258 @t263))) % 158.49/158.82 (step @p448 :rule chain_m_resolution :premises (@p447 @p441) :args (@t258 @t271 @t272)) % 158.49/158.82 (step @p449 :rule bool-double-not-elim :args (@t261)) % 158.49/158.82 (step @p450 :rule nary_cong :premises (@p443 @p449) :args ((or @t263 (not @t262)))) % 158.49/158.82 (step @p451 :rule cnf_or_neg :args (@t263 0)) % 158.49/158.82 (step @p452 :rule eq_resolve :premises (@p451 @p450)) % 158.49/158.82 (step @p453 :rule reordering :premises (@p452) :args ((or @t261 @t263))) % 158.49/158.82 (step @p454 :rule chain_m_resolution :premises (@p453 @p441) :args (@t261 @t271 @t272)) % 158.49/158.82 (step @p455 :rule cnf_or_pos :args (@t274)) % 158.49/158.82 (step @p456 :rule reordering :premises (@p455) :args ((or @t262 @t259 @t273 (not @t274)))) % 158.49/158.82 (step @p457 :rule chain_m_resolution :premises (@p456 @p454 @p448 @p411) :args (@t273 (@list false false false) (@list @t261 @t258 @t274))) % 158.49/158.82 (step @p458 :rule not_implies_elim1 :premises (@p414)) % 158.49/158.82 (step @p459 :rule eq-symm :args (@t275 @t251)) % 158.49/158.82 (step @p460 :rule refl :args (@t279)) % 158.49/158.82 (step @p461 :rule refl :args (@t281)) % 158.49/158.82 (step @p462 :rule nary_cong :premises (@p461 @p460 @p459) :args (@t283)) % 158.49/158.82 (step @p463 :rule cong :premises (@p26 @p462) :args ((=> @t102 @t283))) % 158.49/158.82 (assume-push @p646 @t102) % 158.49/158.82 (step @p465 :rule instantiate :premises (@p458) :args ((@list @t275 @t251))) % 158.49/158.82 (step-pop @p647 :rule scope :premises (@p465)) % 158.49/158.82 (step @p466 :rule process_scope :premises (@p647) :args (@t283)) % 158.49/158.82 (step @p468 :rule eq_resolve :premises (@p466 @p463)) % 158.49/158.82 (step @p469 :rule implies_elim :premises (@p468)) % 158.49/158.82 (step @p470 :rule chain_m_resolution :premises (@p469 @p458) :args (@t285 @t286 (@list @t102))) % 158.49/158.82 (step @p471 :rule bool-double-not-elim :args (@t289)) % 158.49/158.82 (step @p472 :rule refl :args (@t292)) % 158.49/158.82 (step @p473 :rule nary_cong :premises (@p472 @p471) :args ((or @t292 (not @t291)))) % 158.49/158.82 (step @p474 :rule cnf_or_neg :args (@t292 0)) % 158.49/158.82 (step @p475 :rule eq_resolve :premises (@p474 @p473)) % 158.49/158.82 (step @p476 :rule reordering :premises (@p475) :args ((or @t289 @t292))) % 158.49/158.82 (step @p477 :rule cnf_or_neg :args (@t292 1)) % 158.49/158.82 (step @p478 :rule not_implies_elim1 :premises (@p413)) % 158.49/158.82 (step @p479 :rule instantiate :premises (@p478) :args (@t293)) % 158.49/158.82 (step @p480 :rule cnf_or_pos :args (@t295)) % 158.49/158.82 (step @p481 :rule reordering :premises (@p480) :args ((or @t291 @t294 (not @t295)))) % 158.49/158.82 (step @p482 :rule not_implies_elim1 :premises (@p412)) % 158.49/158.82 (step @p483 :rule instantiate :premises (@p482) :args (@t293)) % 158.49/158.82 (step @p484 :rule cnf_or_pos :args (@t297)) % 158.49/158.82 (step @p485 :rule reordering :premises (@p484) :args ((or @t291 @t296 (not @t297)))) % 158.49/158.82 (step @p486 :rule bool-double-not-elim :args (@t256)) % 158.49/158.82 (step @p487 :rule nary_cong :premises (@p443 @p486) :args ((or @t263 (not @t257)))) % 158.49/158.82 (step @p488 :rule cnf_or_neg :args (@t263 2)) % 158.49/158.82 (step @p489 :rule eq_resolve :premises (@p488 @p487)) % 158.49/158.82 (step @p490 :rule reordering :premises (@p489) :args ((or @t256 @t263))) % 158.49/158.82 (step @p491 :rule chain_m_resolution :premises (@p490 @p441) :args (@t256 @t271 @t272)) % 158.49/158.82 (step @p492 :rule eq-symm :args (@t287 @t248)) % 158.49/158.82 (step @p493 :rule refl :args (@t298)) % 158.49/158.82 (step @p494 :rule refl :args (@t299)) % 158.49/158.82 (step @p495 :rule nary_cong :premises (@p494 @p493 @p492) :args (@t300)) % 158.49/158.82 (step @p496 :rule refl :args (@t256)) % 158.49/158.82 (step @p497 :rule cong :premises (@p496 @p495) :args ((=> @t256 @t300))) % 158.49/158.82 (assume-push @p648 @t256) % 158.49/158.82 (step @p499 :rule instantiate :premises (@p491) :args ((@list @t287))) % 158.49/158.82 (step-pop @p649 :rule scope :premises (@p499)) % 158.49/158.82 (step @p500 :rule process_scope :premises (@p649) :args (@t300)) % 158.49/158.82 (step @p502 :rule eq_resolve :premises (@p500 @p497)) % 158.49/158.82 (step @p503 :rule implies_elim :premises (@p502)) % 158.49/158.82 (step @p504 :rule chain_m_resolution :premises (@p503 @p491) :args (@t302 @t286 (@list @t256))) % 158.49/158.82 (step @p505 :rule cnf_or_pos :args (@t302)) % 158.49/158.82 (step @p506 :rule reordering :premises (@p505) :args ((or @t299 @t298 @t301 (not @t302)))) % 158.49/158.82 (step @p507 :rule not_implies_elim1 :premises (@p416)) % 158.49/158.82 (step @p508 :rule instantiate :premises (@p507) :args (@t303)) % 158.49/158.82 (step @p509 :rule refl :args (@t304)) % 158.49/158.82 (step @p510 :rule bool-double-not-elim :args (@t290)) % 158.49/158.82 (step @p511 :rule refl :args (@t306)) % 158.49/158.82 (step @p512 :rule nary_cong :premises (@p511 @p510 @p509) :args ((or @t306 (not @t307) @t304))) % 158.49/158.82 (assume-push @p650 @t305) % 158.49/158.82 (assume-push @p651 @t301) % 158.49/158.82 (assume-push @p652 @t307) % 158.49/158.82 (step @p516 :rule evaluate :args (@t308)) % 158.49/158.82 (step @p517 :rule true_intro :premises (@p508)) % 158.49/158.82 (step @p518 :rule refl :args (@t275)) % 158.49/158.82 (step @p519 :rule symm :premises (@p651)) % 158.49/158.82 (step @p520 :rule refl :args (@t77)) % 158.49/158.82 (step @p521 :rule cong :premises (@p520 @p519) :args (@t288)) % 158.49/158.82 (step @p522 :rule cong :premises (@p521 @p518) :args (@t290)) % 158.49/158.82 (step @p523 :rule false_intro :premises (@p652)) % 158.49/158.82 (step @p524 :rule symm :premises (@p523)) % 158.49/158.82 (step @p525 :rule trans :premises (@p524 @p522 @p517)) % 158.49/158.82 (step @p526 false :rule eq_resolve :premises (@p525 @p516)) % 158.49/158.82 (step-pop @p653 :rule scope :premises (@p526)) % 158.49/158.82 (step-pop @p654 :rule scope :premises (@p653)) % 158.49/158.82 (step-pop @p655 :rule scope :premises (@p654)) % 158.49/158.82 (step @p527 :rule process_scope :premises (@p655) :args (false)) % 158.49/158.82 (assume-push @p656 @t305) % 158.49/158.82 (assume-push @p657 @t307) % 158.49/158.82 (assume-push @p658 @t301) % 158.49/158.82 (step @p534 :rule and_intro :premises (@p508 @p658 @p657)) % 158.49/158.82 (step-pop @p659 :rule scope :premises (@p534)) % 158.49/158.82 (step-pop @p660 :rule scope :premises (@p659)) % 158.49/158.82 (step-pop @p661 :rule scope :premises (@p660)) % 158.49/158.82 (step @p535 :rule process_scope :premises (@p661) :args (@t309)) % 158.49/158.82 (step @p539 :rule implies_elim :premises (@p535)) % 158.49/158.82 (step @p540 :rule resolution :premises (@p539 @p527) :args (true @t309)) % 158.49/158.82 (step @p541 :rule not_and :premises (@p540)) % 158.49/158.82 (step @p542 :rule eq_resolve :premises (@p541 @p512)) % 158.49/158.82 (step @p543 :rule chain_m_resolution :premises (@p542 @p508 @p506 @p504 @p485 @p483 @p481 @p479 @p477 @p476) :args (@t292 (@list false false false false false false false true false) (@list @t305 @t301 @t302 @t296 @t297 @t294 @t295 @t290 @t289))) % 158.49/158.82 (step @p544 :rule refl :args (@t310)) % 158.49/158.82 (step @p545 :rule bool-double-not-elim :args (@t278)) % 158.49/158.82 (step @p546 :rule nary_cong :premises (@p545 @p544) :args ((or (not @t279) @t310))) % 158.49/158.82 (assume-push @p662 @t279) % 158.49/158.82 (step @p548 :rule skolemize :premises (@p662)) % 158.49/158.82 (step-pop @p663 :rule scope :premises (@p548)) % 158.49/158.82 (step @p549 :rule process_scope :premises (@p663) :args (@t310)) % 158.49/158.82 (step @p551 :rule implies_elim :premises (@p549)) % 158.49/158.82 (step @p552 :rule eq_resolve :premises (@p551 @p546)) % 158.49/158.82 (step @p553 :rule chain_m_resolution :premises (@p552 @p543) :args (@t278 @t286 (@list @t292))) % 158.49/158.82 (step @p554 :rule bool-double-not-elim :args (@t252)) % 158.49/158.82 (step @p555 :rule nary_cong :premises (@p443 @p554) :args ((or @t263 (not @t253)))) % 158.49/158.82 (step @p556 :rule cnf_or_neg :args (@t263 3)) % 158.49/158.82 (step @p557 :rule eq_resolve :premises (@p556 @p555)) % 158.49/158.82 (step @p558 :rule reordering :premises (@p557) :args ((or @t252 @t263))) % 158.49/158.82 (step @p559 :rule chain_m_resolution :premises (@p558 @p441) :args (@t252 @t271 @t272)) % 158.49/158.82 (step @p560 :rule cong :premises (@p459) :args (@t311)) % 158.49/158.82 (step @p561 :rule refl :args (@t312)) % 158.49/158.82 (step @p562 :rule nary_cong :premises (@p561 @p560) :args (@t313)) % 158.49/158.82 (step @p563 :rule refl :args (@t252)) % 158.49/158.82 (step @p564 :rule cong :premises (@p563 @p562) :args ((=> @t252 @t313))) % 158.49/158.82 (assume-push @p664 @t252) % 158.49/158.82 (step @p566 :rule instantiate :premises (@p559) :args (@t303)) % 158.49/158.82 (step-pop @p665 :rule scope :premises (@p566)) % 158.49/158.82 (step @p567 :rule process_scope :premises (@p665) :args (@t313)) % 158.49/158.82 (step @p569 :rule eq_resolve :premises (@p567 @p564)) % 158.49/158.82 (step @p570 :rule implies_elim :premises (@p569)) % 158.49/158.82 (step @p571 :rule chain_m_resolution :premises (@p570 @p559) :args (@t315 @t286 (@list @t252))) % 158.49/158.82 (step @p572 :rule cnf_or_pos :args (@t315)) % 158.49/158.82 (step @p573 :rule reordering :premises (@p572) :args ((or @t312 @t314 (not @t315)))) % 158.49/158.82 (step @p574 :rule chain_m_resolution :premises (@p573 @p457 @p571) :args (@t314 @t316 (@list @t273 @t315))) % 158.49/158.82 (step @p575 :rule cnf_or_pos :args (@t285)) % 158.49/158.82 (step @p576 :rule reordering :premises (@p575) :args ((or @t284 @t281 @t279 (not @t285)))) % 158.49/158.82 (step @p577 :rule chain_m_resolution :premises (@p576 @p574 @p553 @p470) :args (@t281 (@list true false false) (@list @t284 @t278 @t285))) % 158.49/158.82 (step @p578 :rule refl :args (@t323)) % 158.49/158.82 (step @p579 :rule bool-double-not-elim :args (@t280)) % 158.49/158.82 (step @p580 :rule nary_cong :premises (@p579 @p578) :args ((or (not @t281) @t323))) % 158.49/158.82 (assume-push @p666 @t281) % 158.49/158.82 (step @p582 :rule skolemize :premises (@p666)) % 158.49/158.82 (step-pop @p667 :rule scope :premises (@p582)) % 158.49/158.82 (step @p583 :rule process_scope :premises (@p667) :args (@t323)) % 158.49/158.82 (step @p585 :rule implies_elim :premises (@p583)) % 158.49/158.82 (step @p586 :rule eq_resolve :premises (@p585 @p580)) % 158.49/158.82 (step @p587 :rule chain_m_resolution :premises (@p586 @p577) :args (@t323 @t271 (@list @t280))) % 158.49/158.82 (step @p588 :rule cnf_or_neg :args (@t322 1)) % 158.49/158.82 (step @p589 :rule chain_m_resolution :premises (@p588 @p587) :args (@t324 @t271 @t325)) % 158.49/158.82 (step @p590 :rule not_implies_elim1 :premises (@p415)) % 158.49/158.82 (step @p591 :rule eq-symm :args (@t317 @t248)) % 158.49/158.82 (step @p592 :rule refl :args (@t321)) % 158.49/158.82 (step @p593 :rule nary_cong :premises (@p592 @p591) :args (@t326)) % 158.49/158.82 (step @p594 :rule cong :premises (@p24 @p593) :args ((=> @t99 @t326))) % 158.49/158.82 (assume-push @p668 @t99) % 158.49/158.82 (step @p596 :rule instantiate :premises (@p590) :args ((@list @t317 @t248))) % 158.49/158.82 (step-pop @p669 :rule scope :premises (@p596)) % 158.49/158.82 (step @p597 :rule process_scope :premises (@p669) :args (@t326)) % 158.49/158.82 (step @p599 :rule eq_resolve :premises (@p597 @p594)) % 158.49/158.82 (step @p600 :rule implies_elim :premises (@p599)) % 158.49/158.82 (step @p601 :rule chain_m_resolution :premises (@p600 @p590) :args (@t328 @t286 (@list @t99))) % 158.49/158.82 (step @p602 :rule bool-double-not-elim :args (@t320)) % 158.49/158.82 (step @p603 :rule refl :args (@t322)) % 158.49/158.82 (step @p604 :rule nary_cong :premises (@p603 @p602) :args ((or @t322 (not @t321)))) % 158.49/158.82 (step @p605 :rule cnf_or_neg :args (@t322 0)) % 158.49/158.82 (step @p606 :rule eq_resolve :premises (@p605 @p604)) % 158.49/158.82 (step @p607 :rule reordering :premises (@p606) :args ((or @t320 @t322))) % 158.49/158.82 (step @p608 :rule chain_m_resolution :premises (@p607 @p587) :args (@t320 @t271 @t325)) % 158.49/158.82 (step @p609 :rule cnf_or_pos :args (@t328)) % 158.49/158.82 (step @p610 :rule reordering :premises (@p609) :args ((or @t321 @t327 (not @t328)))) % 158.49/158.82 (step @p611 :rule chain_m_resolution :premises (@p610 @p608 @p601) :args (@t327 @t316 (@list @t320 @t328))) % 158.49/158.82 (step @p612 :rule refl :args (@t329)) % 158.49/158.82 (step @p613 :rule bool-double-not-elim :args (@t319)) % 158.49/158.82 (step @p614 :rule nary_cong :premises (@p561 @p613 @p612) :args ((or @t312 (not @t324) @t329))) % 158.49/158.82 (assume-push @p670 @t273) % 158.49/158.82 (assume-push @p671 @t327) % 158.49/158.82 (assume-push @p672 @t324) % 158.49/158.82 (step @p516 :rule evaluate :args (@t308)) % 158.49/158.82 (step @p618 :rule true_intro :premises (@p457)) % 158.49/158.82 (step @p619 :rule refl :args (@t251)) % 158.49/158.82 (step @p620 :rule symm :premises (@p671)) % 158.49/158.82 (step @p520 :rule refl :args (@t77)) % 158.49/158.82 (step @p621 :rule cong :premises (@p520 @p620) :args (@t318)) % 158.49/158.82 (step @p622 :rule cong :premises (@p621 @p619) :args (@t319)) % 158.49/158.82 (step @p623 :rule false_intro :premises (@p672)) % 158.49/158.82 (step @p624 :rule symm :premises (@p623)) % 158.49/158.82 (step @p625 :rule trans :premises (@p624 @p622 @p618)) % 158.49/158.82 (step @p626 false :rule eq_resolve :premises (@p625 @p516)) % 158.49/158.82 (step-pop @p673 :rule scope :premises (@p626)) % 158.49/158.82 (step-pop @p674 :rule scope :premises (@p673)) % 158.49/158.82 (step-pop @p675 :rule scope :premises (@p674)) % 158.49/158.82 (step @p627 :rule process_scope :premises (@p675) :args (false)) % 158.49/158.82 (assume-push @p676 @t273) % 158.49/158.82 (assume-push @p677 @t324) % 158.49/158.82 (assume-push @p678 @t327) % 158.49/158.82 (step @p634 :rule and_intro :premises (@p457 @p678 @p677)) % 158.49/158.82 (step-pop @p679 :rule scope :premises (@p634)) % 158.49/158.82 (step-pop @p680 :rule scope :premises (@p679)) % 158.49/158.82 (step-pop @p681 :rule scope :premises (@p680)) % 158.49/158.82 (step @p635 :rule process_scope :premises (@p681) :args (@t330)) % 158.49/158.82 (step @p639 :rule implies_elim :premises (@p635)) % 158.49/158.82 (step @p640 :rule resolution :premises (@p639 @p627) :args (true @t330)) % 158.49/158.82 (step @p641 :rule not_and :premises (@p640)) % 158.49/158.82 (step @p642 :rule eq_resolve :premises (@p641 @p614)) % 158.49/158.82 (step @p643 false :rule chain_m_resolution :premises (@p642 @p611 @p589 @p457) :args (false (@list false true false) (@list @t327 @t319 @t273))) % 158.49/158.82 ) % 158.49/158.82 % SZS output end Proof % 158.49/158.82 % cvc5 exiting %------------------------------------------------------------------------------