%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU637^2 : 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 : n015.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 08:52:31 AM UTC 2026 % Result : Theorem 159.58s 159.83s % Output : Proof 159.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU637^2 : 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 % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:45:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.50 %----Proving TH0 % 159.58/159.83 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 159.58/159.83 --- 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... % 159.58/159.83 --- 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... % 159.58/159.83 --- Run --ho-elim --full-saturate-quant at 18s... % 159.58/159.83 % SZS status Theorem % 159.58/159.83 % SZS output start Proof % 159.58/159.83 ( % 159.58/159.83 (declare-sort $$unsorted 0) % 159.58/159.83 (declare-const tptp.emptyset $$unsorted) % 159.58/159.83 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 159.58/159.83 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 159.58/159.83 (declare-const tptp.eqinunit Bool) % 159.58/159.83 (declare-const tptp.uniqinunit Bool) % 159.58/159.83 (declare-const tptp.setext Bool) % 159.58/159.83 (declare-const tptp.dsetconstrER Bool) % 159.58/159.83 (declare-const tptp.dsetconstrEL Bool) % 159.58/159.83 (declare-const tptp.dsetconstrI Bool) % 159.58/159.83 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 159.58/159.83 (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)))))))) % 159.58/159.83 (define @t1 () (@var "Xy" $$unsorted)) % 159.58/159.83 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 159.58/159.83 (define @t3 () (_ @t2 @t1)) % 159.58/159.83 (define @t4 () (@list @t1)) % 159.58/159.83 (define @t5 () (lambda @t4 @t3)) % 159.58/159.83 (define @t6 () (@var "A" $$unsorted)) % 159.58/159.83 (define @t7 () (_ tptp.dsetconstr @t6)) % 159.58/159.83 (define @t8 () (_ @t7 @t5)) % 159.58/159.83 (define @t9 () (@var "Xx" $$unsorted)) % 159.58/159.83 (define @t10 () (_ tptp.in @t9)) % 159.58/159.83 (define @t11 () (_ @t10 @t8)) % 159.58/159.83 (define @t12 () (_ @t2 @t9)) % 159.58/159.83 (define @t13 () (=> @t12 @t11)) % 159.58/159.83 (define @t14 () (_ @t10 @t6)) % 159.58/159.83 (define @t15 () (@list @t6 @t2 @t9)) % 159.58/159.83 (define @t16 () (forall @t15 (=> @t14 @t13))) % 159.58/159.83 (define @t17 () (= tptp.dsetconstrI @t16)) % 159.58/159.83 (define @t18 () (forall @t15 (=> @t11 @t14))) % 159.58/159.83 (define @t19 () (= tptp.dsetconstrEL @t18)) % 159.58/159.83 (define @t20 () (forall @t15 (=> @t11 @t12))) % 159.58/159.83 (define @t21 () (= tptp.dsetconstrER @t20)) % 159.58/159.83 (define @t22 () (@var "B" $$unsorted)) % 159.58/159.83 (define @t23 () (= @t6 @t22)) % 159.58/159.83 (define @t24 () (_ @t10 @t22)) % 159.58/159.83 (define @t25 () (@list @t9)) % 159.58/159.83 (define @t26 () (forall @t25 (=> @t24 @t14))) % 159.58/159.83 (define @t27 () (=> @t26 @t23)) % 159.58/159.83 (define @t28 () (forall @t25 (=> @t14 @t24))) % 159.58/159.83 (define @t29 () (=> @t28 @t27)) % 159.58/159.83 (define @t30 () (@list @t6 @t22)) % 159.58/159.83 (define @t31 () (forall @t30 @t29)) % 159.58/159.83 (define @t32 () (= tptp.setext @t31)) % 159.58/159.83 (define @t33 () (= @t9 @t1)) % 159.58/159.83 (define @t34 () (_ (_ tptp.setadjoin @t1) tptp.emptyset)) % 159.58/159.83 (define @t35 () (_ @t10 @t34)) % 159.58/159.83 (define @t36 () (@list @t9 @t1)) % 159.58/159.83 (define @t37 () (forall @t36 (=> @t35 @t33))) % 159.58/159.83 (define @t38 () (= tptp.uniqinunit @t37)) % 159.58/159.83 (define @t39 () (forall @t36 (=> @t33 @t35))) % 159.58/159.83 (define @t40 () (= tptp.eqinunit @t39)) % 159.58/159.83 (define @t41 () (lambda @t25 @t12)) % 159.58/159.83 (define @t42 () (_ @t7 @t41)) % 159.58/159.83 (define @t43 () (and @t14 @t12)) % 159.58/159.83 (define @t44 () (exists @t25 @t43)) % 159.58/159.83 (define @t45 () (=> @t44 (_ tptp.singleton @t42))) % 159.58/159.83 (define @t46 () (=> @t3 @t33)) % 159.58/159.83 (define @t47 () (=> @t12 @t46)) % 159.58/159.83 (define @t48 () (_ (_ tptp.in @t1) @t6)) % 159.58/159.83 (define @t49 () (forall @t4 (=> @t48 @t47))) % 159.58/159.83 (define @t50 () (=> @t14 @t49)) % 159.58/159.83 (define @t51 () (forall @t25 @t50)) % 159.58/159.83 (define @t52 () (=> @t51 @t45)) % 159.58/159.83 (define @t53 () (@list @t6 @t2)) % 159.58/159.83 (define @t54 () (forall @t53 @t52)) % 159.58/159.83 (define @t55 () (=> tptp.eqinunit @t54)) % 159.58/159.83 (define @t56 () (=> tptp.uniqinunit @t55)) % 159.58/159.83 (define @t57 () (=> tptp.setext @t56)) % 159.58/159.83 (define @t58 () (=> tptp.dsetconstrER @t57)) % 159.58/159.83 (define @t59 () (=> tptp.dsetconstrEL @t58)) % 159.58/159.83 (define @t60 () (=> tptp.dsetconstrI @t59)) % 159.58/159.83 (define @t61 () (not @t60)) % 159.58/159.83 (define @t62 () (_ (_ tptp.setadjoin @t9) tptp.emptyset)) % 159.58/159.83 (define @t63 () (= @t6 @t62)) % 159.58/159.83 (define @t64 () (and @t14 @t63)) % 159.58/159.83 (define @t65 () (exists @t25 @t64)) % 159.58/159.83 (define @t66 () (@list @t6)) % 159.58/159.83 (define @t67 () (lambda @t66 @t65)) % 159.58/159.83 (define @t68 () (@var "BOUND_VARIABLE_7712" $$unsorted)) % 159.58/159.83 (define @t69 () (@var "BOUND_VARIABLE_7797" (@ho-elim-sort (-> $$unsorted Bool)))) % 159.58/159.83 (define @t70 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 159.58/159.83 (define @t71 () (not (_ @t70 @t69 @t68))) % 159.58/159.83 (define @t72 () (@const 1 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 159.58/159.83 (define @t73 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 159.58/159.83 (define @t74 () (not (_ @t70 (_ @t73 @t72 @t68) @t6))) % 159.58/159.83 (define @t75 () (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)))) % 159.58/159.83 (define @t76 () (@const 4 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted))))) % 159.58/159.83 (define @t77 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 159.58/159.83 (define @t78 () (_ @t77 (_ @t76 @t75 @t9) tptp.emptyset)) % 159.58/159.83 (define @t79 () (@const 6 (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)))) % 159.58/159.83 (define @t80 () (@const 7 (-> (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) $$unsorted (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))))) % 159.58/159.83 (define @t81 () (@const 8 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))) % 159.58/159.83 (define @t82 () (_ @t81 (_ @t80 @t79 @t6) @t69)) % 159.58/159.83 (define @t83 () (not (= @t78 @t82))) % 159.58/159.83 (define @t84 () (_ @t73 @t72 @t9)) % 159.58/159.83 (define @t85 () (_ @t70 @t84 @t82)) % 159.58/159.83 (define @t86 () (not @t85)) % 159.58/159.83 (define @t87 () (or @t86 @t83)) % 159.58/159.83 (define @t88 () (forall @t25 @t87)) % 159.58/159.83 (define @t89 () (not @t88)) % 159.58/159.83 (define @t90 () (@var "BOUND_VARIABLE_7646" $$unsorted)) % 159.58/159.83 (define @t91 () (= @t9 @t90)) % 159.58/159.83 (define @t92 () (_ @t73 @t72 @t90)) % 159.58/159.83 (define @t93 () (_ @t70 @t69 @t9)) % 159.58/159.83 (define @t94 () (not @t93)) % 159.58/159.83 (define @t95 () (_ @t70 @t84 @t6)) % 159.58/159.83 (define @t96 () (not @t95)) % 159.58/159.83 (define @t97 () (@list @t9 @t90)) % 159.58/159.83 (define @t98 () (not (forall @t97 (or @t96 @t94 (not (_ @t70 @t92 @t6)) (not (_ @t70 @t69 @t90)) @t91)))) % 159.58/159.83 (define @t99 () (or @t98 @t89 @t74 @t71)) % 159.58/159.83 (define @t100 () (@list @t6 @t69 @t68)) % 159.58/159.83 (define @t101 () (forall @t100 @t99)) % 159.58/159.83 (define @t102 () (_ @t77 (_ @t76 @t75 @t1) tptp.emptyset)) % 159.58/159.83 (define @t103 () (forall @t4 (_ @t70 (_ @t73 @t72 @t1) @t102))) % 159.58/159.83 (define @t104 () (=> @t103 @t101)) % 159.58/159.83 (define @t105 () (forall @t36 (or (not (_ @t70 @t84 @t102)) @t33))) % 159.58/159.83 (define @t106 () (=> @t105 @t104)) % 159.58/159.83 (define @t107 () (_ @t70 @t84 @t22)) % 159.58/159.83 (define @t108 () (forall @t30 (or (not (forall @t25 (or @t96 @t107))) (not (forall @t25 (or (not @t107) @t95))) @t23))) % 159.58/159.83 (define @t109 () (=> @t108 @t106)) % 159.58/159.83 (define @t110 () (@list @t6 @t69 @t9)) % 159.58/159.83 (define @t111 () (forall @t110 (or @t86 @t93))) % 159.58/159.83 (define @t112 () (=> @t111 @t109)) % 159.58/159.83 (define @t113 () (forall @t110 (or @t86 @t95))) % 159.58/159.83 (define @t114 () (=> @t113 @t112)) % 159.58/159.83 (define @t115 () (forall @t110 (or @t96 @t94 @t85))) % 159.58/159.83 (define @t116 () (=> @t115 @t114)) % 159.58/159.83 (define @t117 () (not @t116)) % 159.58/159.83 (define @t118 () (not (_ @t2 @t68))) % 159.58/159.83 (define @t119 () (not (tptp.in @t68 @t6))) % 159.58/159.83 (define @t120 () (tptp.dsetconstr @t6 @t2)) % 159.58/159.83 (define @t121 () (tptp.setadjoin @t9 tptp.emptyset)) % 159.58/159.83 (define @t122 () (tptp.in @t9 @t120)) % 159.58/159.83 (define @t123 () (not @t122)) % 159.58/159.83 (define @t124 () (not (forall @t25 (or @t123 (not (= @t121 @t120)))))) % 159.58/159.83 (define @t125 () (not (_ @t2 @t90))) % 159.58/159.83 (define @t126 () (not (tptp.in @t90 @t6))) % 159.58/159.83 (define @t127 () (_ @t2 @t9)) % 159.58/159.83 (define @t128 () (not @t127)) % 159.58/159.83 (define @t129 () (tptp.in @t9 @t6)) % 159.58/159.83 (define @t130 () (not @t129)) % 159.58/159.83 (define @t131 () (or @t130 @t128 @t126 @t125 @t91)) % 159.58/159.83 (define @t132 () (forall @t97 @t131)) % 159.58/159.83 (define @t133 () (not @t132)) % 159.58/159.83 (define @t134 () (or @t133 @t124 @t119 @t118)) % 159.58/159.83 (define @t135 () (@list @t6 @t2 @t68)) % 159.58/159.83 (define @t136 () (forall @t135 @t134)) % 159.58/159.83 (define @t137 () (tptp.setadjoin @t1 tptp.emptyset)) % 159.58/159.83 (define @t138 () (tptp.in @t1 @t137)) % 159.58/159.83 (define @t139 () (tptp.in @t9 @t137)) % 159.58/159.83 (define @t140 () (tptp.in @t9 @t22)) % 159.58/159.83 (define @t141 () (forall @t25 (or (not @t140) @t129))) % 159.58/159.83 (define @t142 () (not @t141)) % 159.58/159.83 (define @t143 () (forall @t25 (or @t130 @t140))) % 159.58/159.83 (define @t144 () (not @t143)) % 159.58/159.83 (define @t145 () (or @t144 @t142 @t23)) % 159.58/159.83 (define @t146 () (not (= @t1 @t1))) % 159.58/159.83 (define @t147 () (or @t146 @t138)) % 159.58/159.83 (define @t148 () (not @t33)) % 159.58/159.83 (define @t149 () (or @t148 @t148 @t139)) % 159.58/159.83 (define @t150 () (or @t148 @t139)) % 159.58/159.83 (define @t151 () (forall @t25 @t150)) % 159.58/159.83 (define @t152 () (forall @t4 @t151)) % 159.58/159.83 (define @t153 () (forall (@list @t1 @t9) @t150)) % 159.58/159.83 (define @t154 () (or @t148 @t35)) % 159.58/159.83 (define @t155 () (=> tptp.eqinunit @t136)) % 159.58/159.83 (define @t156 () (not @t35)) % 159.58/159.83 (define @t157 () (or @t156 @t33)) % 159.58/159.83 (define @t158 () (=> tptp.uniqinunit @t155)) % 159.58/159.83 (define @t159 () (=> @t141 @t23)) % 159.58/159.83 (define @t160 () (not @t24)) % 159.58/159.83 (define @t161 () (or @t160 @t14)) % 159.58/159.83 (define @t162 () (not @t14)) % 159.58/159.83 (define @t163 () (or @t162 @t24)) % 159.58/159.83 (define @t164 () (=> tptp.setext @t158)) % 159.58/159.83 (define @t165 () (_ @t2 @t1)) % 159.58/159.83 (define @t166 () (lambda @t4 @t165)) % 159.58/159.83 (define @t167 () (tptp.dsetconstr @t6 @t166)) % 159.58/159.83 (define @t168 () (tptp.in @t9 @t167)) % 159.58/159.83 (define @t169 () (not @t168)) % 159.58/159.83 (define @t170 () (or @t169 @t127)) % 159.58/159.83 (define @t171 () (not @t11)) % 159.58/159.83 (define @t172 () (or @t171 @t12)) % 159.58/159.83 (define @t173 () (=> tptp.dsetconstrER @t164)) % 159.58/159.83 (define @t174 () (or @t169 @t129)) % 159.58/159.83 (define @t175 () (or @t171 @t14)) % 159.58/159.83 (define @t176 () (=> tptp.dsetconstrEL @t173)) % 159.58/159.83 (define @t177 () (or @t130 @t128 @t168)) % 159.58/159.83 (define @t178 () (not @t12)) % 159.58/159.83 (define @t179 () (or @t162 @t178 @t11)) % 159.58/159.83 (define @t180 () (=> tptp.dsetconstrI @t176)) % 159.58/159.83 (define @t181 () (or @t119 @t118)) % 159.58/159.83 (define @t182 () (or @t133 @t181 @t124)) % 159.58/159.83 (define @t183 () (forall @t135 @t182)) % 159.58/159.83 (define @t184 () (@list @t68)) % 159.58/159.83 (define @t185 () (forall @t184 @t182)) % 159.58/159.83 (define @t186 () (forall @t184 @t181)) % 159.58/159.83 (define @t187 () (@list @t9)) % 159.58/159.83 (define @t188 () (or @t133 @t186 @t124)) % 159.58/159.83 (define @t189 () (forall @t25 (or @t130 @t128))) % 159.58/159.83 (define @t190 () (or @t133 @t189 @t124)) % 159.58/159.83 (define @t191 () (not @t189)) % 159.58/159.83 (define @t192 () (=> @t191 @t124)) % 159.58/159.83 (define @t193 () (@var "BOUND_VARIABLE_7678" $$unsorted)) % 159.58/159.83 (define @t194 () (_ @t2 @t193)) % 159.58/159.83 (define @t195 () (@list @t193)) % 159.58/159.83 (define @t196 () (lambda @t195 @t194)) % 159.58/159.83 (define @t197 () (tptp.dsetconstr @t6 @t196)) % 159.58/159.83 (define @t198 () (= @t121 @t197)) % 159.58/159.83 (define @t199 () (not @t198)) % 159.58/159.83 (define @t200 () (tptp.in @t9 @t197)) % 159.58/159.83 (define @t201 () (not @t200)) % 159.58/159.83 (define @t202 () (or @t201 @t199)) % 159.58/159.83 (define @t203 () (_ @t2 @t193)) % 159.58/159.83 (define @t204 () (lambda @t195 @t203)) % 159.58/159.83 (define @t205 () (_ @t7 @t204)) % 159.58/159.83 (define @t206 () (= @t121 @t205)) % 159.58/159.83 (define @t207 () (not @t206)) % 159.58/159.83 (define @t208 () (tptp.in @t9 @t205)) % 159.58/159.83 (define @t209 () (not @t208)) % 159.58/159.83 (define @t210 () (or @t209 @t207)) % 159.58/159.83 (define @t211 () (= @t121 @t42)) % 159.58/159.83 (define @t212 () (not @t211)) % 159.58/159.83 (define @t213 () (tptp.in @t9 @t42)) % 159.58/159.83 (define @t214 () (not @t213)) % 159.58/159.83 (define @t215 () (or @t214 @t212)) % 159.58/159.83 (define @t216 () (not (= @t42 @t121))) % 159.58/159.83 (define @t217 () (or @t214 @t216)) % 159.58/159.83 (define @t218 () (forall @t25 @t217)) % 159.58/159.83 (define @t219 () (not @t218)) % 159.58/159.83 (define @t220 () (_ (lambda @t66 (not (forall @t25 (or @t130 (not (= @t6 @t121)))))) @t42)) % 159.58/159.83 (define @t221 () (or @t162 @t178)) % 159.58/159.83 (define @t222 () (forall @t25 (not @t43))) % 159.58/159.83 (define @t223 () (not @t222)) % 159.58/159.83 (define @t224 () (=> @t44 @t220)) % 159.58/159.83 (define @t225 () (or @t126 @t125 @t91)) % 159.58/159.83 (define @t226 () (or @t130 @t128 @t225)) % 159.58/159.83 (define @t227 () (forall @t97 @t226)) % 159.58/159.83 (define @t228 () (@list @t90)) % 159.58/159.83 (define @t229 () (forall @t228 @t226)) % 159.58/159.83 (define @t230 () (forall @t228 @t225)) % 159.58/159.83 (define @t231 () (or @t130 @t128 @t230)) % 159.58/159.83 (define @t232 () (tptp.in @t1 @t6)) % 159.58/159.83 (define @t233 () (forall @t4 (or (not @t232) (not @t165) @t33))) % 159.58/159.83 (define @t234 () (or @t162 @t178 @t233)) % 159.58/159.83 (define @t235 () (or @t178 @t233)) % 159.58/159.83 (define @t236 () (not @t3)) % 159.58/159.83 (define @t237 () (not @t48)) % 159.58/159.83 (define @t238 () (or @t237 @t236 @t33)) % 159.58/159.83 (define @t239 () (forall @t4 @t238)) % 159.58/159.83 (define @t240 () (or @t178 @t239)) % 159.58/159.83 (define @t241 () (or @t178 @t238)) % 159.58/159.83 (define @t242 () (or @t237 @t178 @t236 @t33)) % 159.58/159.83 (define @t243 () (or @t178 @t236 @t33)) % 159.58/159.83 (define @t244 () (=> @t51 @t224)) % 159.58/159.83 (define @t245 () (forall @t53 @t244)) % 159.58/159.83 (define @t246 () (=> tptp.eqinunit @t245)) % 159.58/159.83 (define @t247 () (=> tptp.uniqinunit @t246)) % 159.58/159.83 (define @t248 () (=> tptp.setext @t247)) % 159.58/159.83 (define @t249 () (=> tptp.dsetconstrER @t248)) % 159.58/159.83 (define @t250 () (=> tptp.dsetconstrEL @t249)) % 159.58/159.83 (define @t251 () (=> tptp.dsetconstrI @t250)) % 159.58/159.83 (define @t252 () (not @t63)) % 159.58/159.83 (define @t253 () (or @t162 @t252)) % 159.58/159.83 (define @t254 () (forall @t25 (not @t64))) % 159.58/159.83 (define @t255 () (not @t254)) % 159.58/159.83 (define @t256 () (forall @t100 (or @t98 (not (forall @t25 (or @t86 (not (= @t82 @t78))))) @t74 @t71))) % 159.58/159.83 (define @t257 () (@quantifiers_skolemize @t256 2)) % 159.58/159.83 (define @t258 () (@quantifiers_skolemize @t256 1)) % 159.58/159.83 (define @t259 () (@quantifiers_skolemize @t256 0)) % 159.58/159.83 (define @t260 () (_ @t70 @t258 @t257)) % 159.58/159.83 (define @t261 () (not @t260)) % 159.58/159.83 (define @t262 () (_ @t73 @t72 @t257)) % 159.58/159.83 (define @t263 () (_ @t70 @t262 @t259)) % 159.58/159.83 (define @t264 () (not @t263)) % 159.58/159.83 (define @t265 () (_ @t81 (_ @t80 @t79 @t259) @t258)) % 159.58/159.83 (define @t266 () (_ @t70 @t84 @t265)) % 159.58/159.83 (define @t267 () (not @t266)) % 159.58/159.83 (define @t268 () (forall @t25 (or @t267 (not (= @t78 @t265))))) % 159.58/159.83 (define @t269 () (not @t268)) % 159.58/159.83 (define @t270 () (forall @t97 (or (not (_ @t70 @t84 @t259)) (not (_ @t70 @t258 @t9)) (not (_ @t70 @t92 @t259)) (not (_ @t70 @t258 @t90)) @t91))) % 159.58/159.83 (define @t271 () (not @t270)) % 159.58/159.83 (define @t272 () (or @t271 @t269 @t264 @t261)) % 159.58/159.83 (define @t273 () (not @t272)) % 159.58/159.83 (define @t274 () (not @t256)) % 159.58/159.83 (define @t275 () (not (= @t265 @t78))) % 159.58/159.83 (define @t276 () (or @t267 @t275)) % 159.58/159.83 (define @t277 () (forall @t25 @t276)) % 159.58/159.83 (define @t278 () (not @t277)) % 159.58/159.83 (define @t279 () (or @t271 @t278 @t264 @t261)) % 159.58/159.83 (define @t280 () (not @t279)) % 159.58/159.83 (define @t281 () (@list true)) % 159.58/159.83 (define @t282 () (@list @t272)) % 159.58/159.83 (define @t283 () (_ @t70 @t262 @t265)) % 159.58/159.83 (define @t284 () (or @t264 @t261 @t283)) % 159.58/159.83 (define @t285 () (_ @t77 (_ @t76 @t75 @t257) tptp.emptyset)) % 159.58/159.83 (define @t286 () (_ @t70 @t84 @t285)) % 159.58/159.83 (define @t287 () (forall @t25 (or @t267 @t286))) % 159.58/159.83 (define @t288 () (not @t287)) % 159.58/159.83 (define @t289 () (forall @t25 (or (not @t286) @t266))) % 159.58/159.83 (define @t290 () (not @t289)) % 159.58/159.83 (define @t291 () (= @t285 @t265)) % 159.58/159.83 (define @t292 () (or @t290 @t288 @t291)) % 159.58/159.83 (define @t293 () (= @t265 @t285)) % 159.58/159.83 (define @t294 () (or @t290 @t288 @t293)) % 159.58/159.83 (define @t295 () (@list false)) % 159.58/159.83 (define @t296 () (@quantifiers_skolemize @t287 0)) % 159.58/159.83 (define @t297 () (_ @t73 @t72 @t296)) % 159.58/159.83 (define @t298 () (_ @t70 @t297 @t265)) % 159.58/159.83 (define @t299 () (_ @t70 @t297 @t285)) % 159.58/159.83 (define @t300 () (not @t298)) % 159.58/159.83 (define @t301 () (or @t300 @t299)) % 159.58/159.83 (define @t302 () (@list @t259 @t258 @t296)) % 159.58/159.83 (define @t303 () (_ @t70 @t258 @t296)) % 159.58/159.83 (define @t304 () (or @t300 @t303)) % 159.58/159.83 (define @t305 () (_ @t70 @t297 @t259)) % 159.58/159.83 (define @t306 () (or @t300 @t305)) % 159.58/159.83 (define @t307 () (= @t257 @t296)) % 159.58/159.83 (define @t308 () (not @t303)) % 159.58/159.83 (define @t309 () (not @t305)) % 159.58/159.83 (define @t310 () (or @t264 @t261 @t309 @t308 @t307)) % 159.58/159.83 (define @t311 () (@list @t257)) % 159.58/159.83 (define @t312 () (not @t307)) % 159.58/159.83 (define @t313 () (_ @t70 @t262 @t285)) % 159.58/159.83 (define @t314 () (not @t313)) % 159.58/159.83 (define @t315 () (not @t299)) % 159.58/159.83 (define @t316 () (= false true)) % 159.58/159.83 (define @t317 () (and @t313 @t307 @t315)) % 159.58/159.83 (define @t318 () (not @t301)) % 159.58/159.83 (define @t319 () (not @t291)) % 159.58/159.83 (define @t320 () (not @t283)) % 159.58/159.83 (define @t321 () (or @t320 @t319)) % 159.58/159.83 (define @t322 () (not @t293)) % 159.58/159.83 (define @t323 () (or @t320 @t322)) % 159.58/159.83 (define @t324 () (@list false false)) % 159.58/159.83 (define @t325 () (@quantifiers_skolemize @t289 0)) % 159.58/159.83 (define @t326 () (_ @t73 @t72 @t325)) % 159.58/159.83 (define @t327 () (_ @t70 @t326 @t265)) % 159.58/159.83 (define @t328 () (_ @t70 @t326 @t285)) % 159.58/159.83 (define @t329 () (not @t328)) % 159.58/159.83 (define @t330 () (or @t329 @t327)) % 159.58/159.83 (define @t331 () (not @t330)) % 159.58/159.83 (define @t332 () (not @t327)) % 159.58/159.83 (define @t333 () (@list @t330)) % 159.58/159.83 (define @t334 () (or @t329 (= @t325 @t257))) % 159.58/159.83 (define @t335 () (= @t257 @t325)) % 159.58/159.83 (define @t336 () (or @t329 @t335)) % 159.58/159.83 (define @t337 () (not @t335)) % 159.58/159.83 (define @t338 () (and @t283 @t335 @t332)) % 159.58/159.83 (assume @p1 @t17) % 159.58/159.83 (assume @p2 @t19) % 159.58/159.83 (assume @p3 @t21) % 159.58/159.83 (assume @p4 @t32) % 159.58/159.83 (assume @p5 @t38) % 159.58/159.83 (assume @p6 @t40) % 159.58/159.83 (assume @p7 @t61) % 159.58/159.83 (assume @p8 true) % 159.58/159.83 (step @p9 (= tptp.singleton @t67) :rule refl :args (@t67)) % 159.58/159.83 (step @p10 :rule refl :args (@t71)) % 159.58/159.83 (step @p11 :rule refl :args (@t74)) % 159.58/159.83 (step @p12 :rule eq-symm :args (@t78 @t82)) % 159.58/159.83 (step @p13 :rule cong :premises (@p12) :args (@t83)) % 159.58/159.83 (step @p14 :rule refl :args (@t86)) % 159.58/159.83 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t87)) % 159.58/159.83 (step @p16 :rule cong :premises (@p15) :args (@t88)) % 159.58/159.83 (step @p17 :rule cong :premises (@p16) :args (@t89)) % 159.58/159.83 (step @p18 :rule refl :args (@t98)) % 159.58/159.83 (step @p19 :rule nary_cong :premises (@p18 @p17 @p11 @p10) :args (@t99)) % 159.58/159.83 (step @p20 :rule cong :premises (@p19) :args (@t101)) % 159.58/159.83 (step @p21 :rule refl :args (@t103)) % 159.58/159.83 (step @p22 :rule cong :premises (@p21 @p20) :args (@t104)) % 159.58/159.83 (step @p23 :rule refl :args (@t105)) % 159.58/159.83 (step @p24 :rule cong :premises (@p23 @p22) :args (@t106)) % 159.58/159.83 (step @p25 :rule refl :args (@t108)) % 159.58/159.83 (step @p26 :rule cong :premises (@p25 @p24) :args (@t109)) % 159.58/159.83 (step @p27 :rule refl :args (@t111)) % 159.58/159.83 (step @p28 :rule cong :premises (@p27 @p26) :args (@t112)) % 159.58/159.83 (step @p29 :rule refl :args (@t113)) % 159.58/159.83 (step @p30 :rule cong :premises (@p29 @p28) :args (@t114)) % 159.58/159.83 (step @p31 :rule refl :args (@t115)) % 159.58/159.83 (step @p32 :rule cong :premises (@p31 @p30) :args (@t116)) % 159.58/159.83 (step @p33 :rule cong :premises (@p32) :args (@t117)) % 159.58/159.83 ; WARNING: add trust step for TRUST % 159.58/159.83 ; trust TRUST PREPROCESS_HO_ELIM % 159.58/159.83 (step @p34 :rule trust :premises () :args ((= (not (=> (forall @t15 (or @t130 @t128 @t122)) (=> (forall @t15 (or @t123 @t129)) (=> (forall @t15 (or @t123 @t127)) (=> (forall @t30 @t145) (=> (forall @t36 (or (not @t139) @t33)) (=> (forall @t4 @t138) @t136))))))) @t117))) % 159.58/159.83 (step @p35 :rule refl :args (@t136)) % 159.58/159.83 (step @p36 :rule aci_norm :args ((= (or false @t138) @t138))) % 159.58/159.83 (step @p37 :rule refl :args (@t138)) % 159.58/159.83 (step @p38 :rule evaluate :args ((not true))) % 159.58/159.83 (step @p39 :rule eq-refl :args (@t1)) % 159.58/159.83 (step @p40 :rule cong :premises (@p39) :args (@t146)) % 159.58/159.83 (step @p41 :rule trans :premises (@p40 @p38)) % 159.58/159.83 (step @p42 :rule nary_cong :premises (@p41 @p37) :args (@t147)) % 159.58/159.83 (step @p43 :rule trans :premises (@p42 @p36)) % 159.58/159.83 (step @p44 :rule cong :premises (@p43) :args ((forall @t4 @t147))) % 159.58/159.83 (step @p45 :rule quant-var-elim-eq :args ((= (forall @t25 @t149) @t147))) % 159.58/159.83 (step @p46 :rule aci_norm :args ((= @t150 @t149))) % 159.58/159.83 (step @p47 :rule cong :premises (@p46) :args (@t151)) % 159.58/159.83 (step @p48 :rule trans :premises (@p47 @p45)) % 159.58/159.83 (step @p49 :rule cong :premises (@p48) :args (@t152)) % 159.58/159.83 (step @p50 :rule quant-merge-prenex :args ((= @t152 @t153))) % 159.58/159.83 (step @p51 :rule symm :premises (@p50)) % 159.58/159.83 (step @p52 :rule quant_var_reordering :args ((= (forall @t36 @t150) @t153))) % 159.58/159.83 (step @p53 :rule trans :premises (@p52 @p51 @p49)) % 159.58/159.83 (step @p54 :rule trans :premises (@p53 @p44)) % 159.58/159.83 (step @p55 :rule refl :args ((tptp.in @t9 @t34))) % 159.58/159.83 (step @p56 :rule refl :args (@t137)) % 159.58/159.83 (step @p57 :rule refl :args (@t9)) % 159.58/159.83 (step @p58 :rule cong :premises (@p57 @p56) :args (@t139)) % 159.58/159.83 (step @p59 :rule trans :premises (@p58 @p55)) % 159.58/159.83 (step @p60 :rule refl :args (@t10)) % 159.58/159.83 (step @p61 :rule ho_cong :premises (@p60 @p56)) % 159.58/159.83 (step @p62 :rule cong :premises (@p61 @p59) :args ((= (_ @t10 @t137) @t139))) % 159.58/159.83 (step @p63 :rule symm :premises (@p62)) % 159.58/159.83 (step @p64 :rule refl :args (@t35)) % 159.58/159.83 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 159.58/159.83 (step @p66 :rule refl :args (@t34)) % 159.58/159.83 (step @p67 :rule cong :premises (@p66 @p56) :args ((= @t34 @t137))) % 159.58/159.83 (step @p68 :rule symm :premises (@p67)) % 159.58/159.83 (step @p69 :rule eq_resolve :premises (@p66 @p68)) % 159.58/159.83 (step @p70 :rule ho_cong :premises (@p60 @p69)) % 159.58/159.83 (step @p71 :rule trans :premises (@p70 @p65)) % 159.58/159.83 (step @p72 :rule refl :args (@t148)) % 159.58/159.83 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t154)) % 159.58/159.83 (step @p74 :rule cong :premises (@p73) :args ((forall @t36 @t154))) % 159.58/159.83 (step @p75 :rule trans :premises (@p74 @p54)) % 159.58/159.83 (step @p76 :rule bool-impl-elim :args (@t33 @t35)) % 159.58/159.83 (step @p77 :rule cong :premises (@p76) :args (@t39)) % 159.58/159.83 (step @p78 :rule trans :premises (@p77 @p75)) % 159.58/159.83 (step @p79 :rule refl :args (tptp.eqinunit)) % 159.58/159.83 (step @p80 :rule cong :premises (@p79 @p78) :args (@t40)) % 159.58/159.83 (step @p81 :rule eq_resolve :premises (@p6 @p80)) % 159.58/159.83 (step @p82 :rule cong :premises (@p81 @p35) :args (@t155)) % 159.58/159.83 (step @p83 :rule refl :args (@t33)) % 159.58/159.83 (step @p84 :rule cong :premises (@p71) :args (@t156)) % 159.58/159.83 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t157)) % 159.58/159.83 (step @p86 :rule cong :premises (@p85) :args ((forall @t36 @t157))) % 159.58/159.83 (step @p87 :rule bool-impl-elim :args (@t35 @t33)) % 159.58/159.83 (step @p88 :rule cong :premises (@p87) :args (@t37)) % 159.58/159.83 (step @p89 :rule trans :premises (@p88 @p86)) % 159.58/159.83 (step @p90 :rule refl :args (tptp.uniqinunit)) % 159.58/159.83 (step @p91 :rule cong :premises (@p90 @p89) :args (@t38)) % 159.58/159.83 (step @p92 :rule eq_resolve :premises (@p5 @p91)) % 159.58/159.83 (step @p93 :rule cong :premises (@p92 @p82) :args (@t158)) % 159.58/159.83 (step @p94 :rule aci_norm :args ((= (or @t144 (or @t142 @t23)) @t145))) % 159.58/159.83 (step @p95 :rule bool-impl-elim :args (@t141 @t23)) % 159.58/159.83 (step @p96 :rule refl :args (@t144)) % 159.58/159.83 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t144 @t159))) % 159.58/159.83 (step @p98 :rule trans :premises (@p97 @p94)) % 159.58/159.83 (step @p99 :rule bool-impl-elim :args (@t143 @t159)) % 159.58/159.83 (step @p100 :rule trans :premises (@p99 @p98)) % 159.58/159.83 (step @p101 :rule cong :premises (@p100) :args ((forall @t30 (=> @t143 @t159)))) % 159.58/159.83 (step @p102 :rule refl :args (@t23)) % 159.58/159.83 (step @p103 :rule refl :args (@t129)) % 159.58/159.83 (step @p104 :rule refl :args (@t14)) % 159.58/159.83 (step @p105 :rule cong :premises (@p104 @p103) :args ((= @t14 @t129))) % 159.58/159.83 (step @p106 :rule symm :premises (@p105)) % 159.58/159.83 (step @p107 :rule eq_resolve :premises (@p104 @p106)) % 159.58/159.83 (step @p108 :rule refl :args (@t140)) % 159.58/159.83 (step @p109 :rule refl :args (@t24)) % 159.58/159.83 (step @p110 :rule cong :premises (@p109 @p108) :args ((= @t24 @t140))) % 159.58/159.83 (step @p111 :rule symm :premises (@p110)) % 159.58/159.83 (step @p112 :rule eq_resolve :premises (@p109 @p111)) % 159.58/159.83 (step @p113 :rule cong :premises (@p112) :args (@t160)) % 159.58/159.83 (step @p114 :rule nary_cong :premises (@p113 @p107) :args (@t161)) % 159.58/159.83 (step @p115 :rule cong :premises (@p114) :args ((forall @t25 @t161))) % 159.58/159.83 (step @p116 :rule bool-impl-elim :args (@t24 @t14)) % 159.58/159.83 (step @p117 :rule cong :premises (@p116) :args (@t26)) % 159.58/159.83 (step @p118 :rule trans :premises (@p117 @p115)) % 159.58/159.83 (step @p119 :rule cong :premises (@p118 @p102) :args (@t27)) % 159.58/159.83 (step @p120 :rule cong :premises (@p107) :args (@t162)) % 159.58/159.83 (step @p121 :rule nary_cong :premises (@p120 @p112) :args (@t163)) % 159.58/159.83 (step @p122 :rule cong :premises (@p121) :args ((forall @t25 @t163))) % 159.58/159.83 (step @p123 :rule bool-impl-elim :args (@t14 @t24)) % 159.58/159.83 (step @p124 :rule cong :premises (@p123) :args (@t28)) % 159.58/159.83 (step @p125 :rule trans :premises (@p124 @p122)) % 159.58/159.83 (step @p126 :rule cong :premises (@p125 @p119) :args (@t29)) % 159.58/159.83 (step @p127 :rule cong :premises (@p126) :args (@t31)) % 159.58/159.83 (step @p128 :rule trans :premises (@p127 @p101)) % 159.58/159.83 (step @p129 :rule refl :args (tptp.setext)) % 159.58/159.83 (step @p130 :rule cong :premises (@p129 @p128) :args (@t32)) % 159.58/159.83 (step @p131 :rule eq_resolve :premises (@p4 @p130)) % 159.58/159.83 (step @p132 :rule cong :premises (@p131 @p93) :args (@t164)) % 159.58/159.83 (step @p133 :rule refl :args (@t127)) % 159.58/159.83 (step @p134 :rule lambda-elim :args ((= @t166 @t2))) % 159.58/159.83 (step @p135 :rule refl :args (@t6)) % 159.58/159.83 (step @p136 :rule cong :premises (@p135 @p134) :args (@t167)) % 159.58/159.83 (step @p137 :rule refl :args (@t9)) % 159.58/159.83 (step @p138 :rule cong :premises (@p137 @p136) 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(step @p470 :rule refl :args (@t301)) % 159.58/159.83 (step @p471 :rule nary_cong :premises (@p470 @p469) :args ((or @t301 (not @t300)))) % 159.58/159.83 (step @p472 :rule cnf_or_neg :args (@t301 0)) % 159.58/159.83 (step @p473 :rule eq_resolve :premises (@p472 @p471)) % 159.58/159.83 (step @p474 :rule reordering :premises (@p473) :args ((or @t298 @t301))) % 159.58/159.83 (step @p475 :rule cnf_or_neg :args (@t301 1)) % 159.58/159.83 (step @p476 :rule not_implies_elim1 :premises (@p411)) % 159.58/159.83 (step @p477 :rule instantiate :premises (@p476) :args (@t302)) % 159.58/159.83 (step @p478 :rule cnf_or_pos :args (@t304)) % 159.58/159.83 (step @p479 :rule reordering :premises (@p478) :args ((or @t300 @t303 (not @t304)))) % 159.58/159.83 (step @p480 :rule not_implies_elim1 :premises (@p410)) % 159.58/159.83 (step @p481 :rule instantiate :premises (@p480) :args (@t302)) % 159.58/159.83 (step @p482 :rule cnf_or_pos :args (@t306)) % 159.58/159.83 (step @p483 :rule reordering :premises 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159.58/159.83 (step @p527 :rule not_and :premises (@p526)) % 159.58/159.83 (step @p528 :rule eq_resolve :premises (@p527 @p498)) % 159.58/159.83 (step @p529 :rule chain_m_resolution :premises (@p528 @p494 @p492 @p490 @p446 @p452 @p483 @p481 @p479 @p477 @p475 @p474) :args (@t301 (@list false false false false false false false false false true false) (@list @t313 @t307 @t310 @t260 @t263 @t305 @t306 @t303 @t304 @t299 @t298))) % 159.58/159.83 (step @p530 :rule refl :args (@t318)) % 159.58/159.83 (step @p531 :rule bool-double-not-elim :args (@t287)) % 159.58/159.83 (step @p532 :rule nary_cong :premises (@p531 @p530) :args ((or (not @t288) @t318))) % 159.58/159.83 (assume-push @p646 @t288) % 159.58/159.83 (step @p534 :rule skolemize :premises (@p646)) % 159.58/159.83 (step-pop @p647 :rule scope :premises (@p534)) % 159.58/159.83 (step @p535 :rule process_scope :premises (@p647) :args (@t318)) % 159.58/159.83 (step @p537 :rule implies_elim :premises (@p535)) % 159.58/159.83 (step @p538 :rule 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159.58/159.83 (assume-push @p648 @t268) % 159.58/159.83 (step @p552 :rule instantiate :premises (@p545) :args (@t311)) % 159.58/159.83 (step-pop @p649 :rule scope :premises (@p552)) % 159.58/159.83 (step @p553 :rule process_scope :premises (@p649) :args (@t321)) % 159.58/159.83 (step @p555 :rule eq_resolve :premises (@p553 @p550)) % 159.58/159.83 (step @p556 :rule implies_elim :premises (@p555)) % 159.58/159.83 (step @p557 :rule chain_m_resolution :premises (@p556 @p545) :args (@t323 @t295 (@list @t268))) % 159.58/159.83 (step @p558 :rule cnf_or_pos :args (@t323)) % 159.58/159.83 (step @p559 :rule reordering :premises (@p558) :args ((or @t320 @t322 (not @t323)))) % 159.58/159.83 (step @p560 :rule chain_m_resolution :premises (@p559 @p455 @p557) :args (@t322 @t324 (@list @t283 @t323))) % 159.58/159.83 (step @p561 :rule cnf_or_pos :args (@t294)) % 159.58/159.83 (step @p562 :rule reordering :premises (@p561) :args ((or @t293 @t290 @t288 (not @t294)))) % 159.58/159.83 (step @p563 :rule chain_m_resolution :premises (@p562 @p560 @p539 @p468) :args (@t290 (@list true false false) (@list @t293 @t287 @t294))) % 159.58/159.83 (step @p564 :rule refl :args (@t331)) % 159.58/159.83 (step @p565 :rule bool-double-not-elim :args (@t289)) % 159.58/159.83 (step @p566 :rule nary_cong :premises (@p565 @p564) :args ((or (not @t290) @t331))) % 159.58/159.83 (assume-push @p650 @t290) % 159.58/159.83 (step @p568 :rule skolemize :premises (@p650)) % 159.58/159.83 (step-pop @p651 :rule scope :premises (@p568)) % 159.58/159.83 (step @p569 :rule process_scope :premises (@p651) :args (@t331)) % 159.58/159.83 (step @p571 :rule implies_elim :premises (@p569)) % 159.58/159.83 (step @p572 :rule eq_resolve :premises (@p571 @p566)) % 159.58/159.83 (step @p573 :rule chain_m_resolution :premises (@p572 @p563) :args (@t331 @t281 (@list @t289))) % 159.58/159.83 (step @p574 :rule cnf_or_neg :args (@t330 1)) % 159.58/159.83 (step @p575 :rule chain_m_resolution :premises (@p574 @p573) :args (@t332 @t281 @t333)) % 159.58/159.83 (step @p576 :rule not_implies_elim1 :premises (@p413)) % 159.58/159.83 (step @p577 :rule eq-symm :args (@t325 @t257)) % 159.58/159.83 (step @p578 :rule refl :args (@t329)) % 159.58/159.83 (step @p579 :rule nary_cong :premises (@p578 @p577) :args (@t334)) % 159.58/159.83 (step @p580 :rule cong :premises (@p23 @p579) :args ((=> @t105 @t334))) % 159.58/159.83 (assume-push @p652 @t105) % 159.58/159.83 (step @p582 :rule instantiate :premises (@p576) :args ((@list @t325 @t257))) % 159.58/159.83 (step-pop @p653 :rule scope :premises (@p582)) % 159.58/159.83 (step @p583 :rule process_scope :premises (@p653) :args (@t334)) % 159.58/159.83 (step @p585 :rule eq_resolve :premises (@p583 @p580)) % 159.58/159.83 (step @p586 :rule implies_elim :premises (@p585)) % 159.58/159.83 (step @p587 :rule chain_m_resolution :premises (@p586 @p576) :args (@t336 @t295 (@list @t105))) % 159.58/159.83 (step @p588 :rule bool-double-not-elim :args (@t328)) % 159.58/159.83 (step @p589 :rule 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@t283) % 159.58/159.83 (assume-push @p655 @t335) % 159.58/159.83 (assume-push @p656 @t332) % 159.58/159.83 (step @p502 :rule evaluate :args (@t316)) % 159.58/159.83 (step @p604 :rule true_intro :premises (@p455)) % 159.58/159.83 (step @p605 :rule refl :args (@t265)) % 159.58/159.83 (step @p606 :rule symm :premises (@p655)) % 159.58/159.83 (step @p506 :rule refl :args (@t72)) % 159.58/159.83 (step @p607 :rule cong :premises (@p506 @p606) :args (@t326)) % 159.58/159.83 (step @p608 :rule cong :premises (@p607 @p605) :args (@t327)) % 159.58/159.83 (step @p609 :rule false_intro :premises (@p656)) % 159.58/159.83 (step @p610 :rule symm :premises (@p609)) % 159.58/159.83 (step @p611 :rule trans :premises (@p610 @p608 @p604)) % 159.58/159.83 (step @p612 false :rule eq_resolve :premises (@p611 @p502)) % 159.58/159.83 (step-pop @p657 :rule scope :premises (@p612)) % 159.58/159.83 (step-pop @p658 :rule scope :premises (@p657)) % 159.58/159.83 (step-pop @p659 :rule scope :premises (@p658)) % 159.58/159.83 (step @p613 :rule process_scope :premises (@p659) :args (false)) % 159.58/159.83 (assume-push @p660 @t283) % 159.58/159.83 (assume-push @p661 @t332) % 159.58/159.83 (assume-push @p662 @t335) % 159.58/159.83 (step @p620 :rule and_intro :premises (@p455 @p662 @p661)) % 159.58/159.83 (step-pop @p663 :rule scope :premises (@p620)) % 159.58/159.83 (step-pop @p664 :rule scope :premises (@p663)) % 159.58/159.83 (step-pop @p665 :rule scope :premises (@p664)) % 159.58/159.83 (step @p621 :rule process_scope :premises (@p665) :args (@t338)) % 159.58/159.83 (step @p625 :rule implies_elim :premises (@p621)) % 159.58/159.83 (step @p626 :rule resolution :premises (@p625 @p613) :args (true @t338)) % 159.58/159.83 (step @p627 :rule not_and :premises (@p626)) % 159.58/159.83 (step @p628 :rule eq_resolve :premises (@p627 @p600)) % 159.58/159.83 (step @p629 false :rule chain_m_resolution :premises (@p628 @p597 @p575 @p455) :args (false (@list false true false) (@list @t335 @t327 @t283))) % 159.58/159.83 ) % 159.58/159.83 % SZS output end Proof % 159.58/159.83 % cvc5 exiting %------------------------------------------------------------------------------