%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET741^4 : TPTP v9.2.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:48:33 AM UTC 2026 % Result : Theorem 151.68s 151.91s % Output : Proof 151.68s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET741^4 : TPTP v9.2.1. Released v3.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n011.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 16:10:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 151.68/151.91 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 151.68/151.91 --- 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... % 151.68/151.91 --- 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... % 151.68/151.91 --- Run --ho-elim --full-saturate-quant at 18s... % 151.68/151.91 % SZS status Theorem % 151.68/151.91 % SZS output start Proof % 151.68/151.91 ( % 151.68/151.91 (declare-sort $$unsorted 0) % 151.68/151.91 (define tptp.fun_image () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "F" (-> $$unsorted $$unsorted)))) (let ((_let_3 (@var "Y" $$unsorted))) (let ((_let_4 (@var "A" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_4 _let_3) (exists (@list _let_1) (and (_ _let_4 _let_1) (= _let_3 (_ _let_2 _let_1)))))))))) % 151.68/151.91 (define tptp.fun_composition () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "F" (-> $$unsorted $$unsorted)))) (let ((_let_3 (@var "G" (-> $$unsorted $$unsorted)))) (lambda (@list _let_2 _let_3 _let_1) (_ _let_3 (_ _let_2 _let_1))))))) % 151.68/151.91 (define tptp.fun_inv_image () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "F" (-> $$unsorted $$unsorted)))) (let ((_let_3 (@var "Y" $$unsorted))) (let ((_let_4 (@var "B" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_4 _let_1) (exists (@list _let_3) (and (_ _let_4 _let_3) (= _let_3 (_ _let_2 _let_1)))))))))) % 151.68/151.91 (define tptp.fun_injective () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "F" (-> $$unsorted $$unsorted)))) (lambda (@list _let_3) (forall (@list _let_2 _let_1) (=> (= (_ _let_3 _let_2) (_ _let_3 _let_1)) (= _let_2 _let_1)))))))) % 151.68/151.91 (define tptp.fun_surjective () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "F" (-> $$unsorted $$unsorted)))) (let ((_let_3 (@var "Y" $$unsorted))) (lambda (@list _let_2) (forall (@list _let_3) (exists (@list _let_1) (= _let_3 (_ _let_2 _let_1))))))))) % 151.68/151.91 (define tptp.fun_bijective () (let ((_let_1 (@var "F" (-> $$unsorted $$unsorted)))) (lambda (@list _let_1) (and (_ tptp.fun_injective _let_1) (_ tptp.fun_surjective _let_1))))) % 151.68/151.91 (define tptp.fun_decreasing () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "F" (-> $$unsorted $$unsorted)))) (let ((_let_3 (@var "Y" $$unsorted))) (let ((_let_4 (@var "SMALLER" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2 _let_4) (forall (@list _let_1 _let_3) (=> (_ (_ _let_4 _let_1) _let_3) (_ (_ _let_4 (_ _let_2 _let_3)) (_ _let_2 _let_1)))))))))) % 151.68/151.91 (define tptp.fun_increasing () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "F" (-> $$unsorted $$unsorted)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "SMALLER" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2 _let_4) (forall (@list _let_3 _let_1) (=> (_ (_ _let_4 _let_3) _let_1) (_ (_ _let_4 (_ _let_2 _let_3)) (_ _let_2 _let_1)))))))))) % 151.68/151.91 (define @t1 () (@var "H" (-> $$unsorted $$unsorted))) % 151.68/151.91 (define @t2 () (@var "G" (-> $$unsorted $$unsorted))) % 151.68/151.91 (define @t3 () (@var "F" (-> $$unsorted $$unsorted))) % 151.68/151.91 (define @t4 () (and (_ tptp.fun_injective (_ (_ tptp.fun_composition (_ (_ tptp.fun_composition @t3) @t2)) @t1)) (_ tptp.fun_surjective (_ (_ tptp.fun_composition (_ (_ tptp.fun_composition @t2) @t1)) @t3)) (_ tptp.fun_surjective (_ (_ tptp.fun_composition (_ (_ tptp.fun_composition @t1) @t3)) @t2)))) % 151.68/151.91 (define @t5 () (=> @t4 (_ tptp.fun_bijective @t1))) % 151.68/151.91 (define @t6 () (@list @t3 @t2 @t1)) % 151.68/151.91 (define @t7 () (forall @t6 @t5)) % 151.68/151.91 (define @t8 () (not @t7)) % 151.68/151.91 (define @t9 () (@var "X" $$unsorted)) % 151.68/151.91 (define @t10 () (_ @t3 @t9)) % 151.68/151.91 (define @t11 () (@var "Y" $$unsorted)) % 151.68/151.91 (define @t12 () (= @t11 @t10)) % 151.68/151.91 (define @t13 () (@var "A" (-> $$unsorted Bool))) % 151.68/151.91 (define @t14 () (@list @t9)) % 151.68/151.91 (define @t15 () (lambda (@list @t3 @t13 @t11) (exists @t14 (and (_ @t13 @t9) @t12)))) % 151.68/151.91 (define @t16 () (_ @t2 @t10)) % 151.68/151.91 (define @t17 () (lambda (@list @t3 @t2 @t9) @t16)) % 151.68/151.91 (define @t18 () (@var "B" (-> $$unsorted Bool))) % 151.68/151.91 (define @t19 () (@list @t11)) % 151.68/151.91 (define @t20 () (lambda (@list @t3 @t18 @t9) (exists @t19 (and (_ @t18 @t11) @t12)))) % 151.68/151.91 (define @t21 () (_ @t3 @t11)) % 151.68/151.91 (define @t22 () (= @t10 @t21)) % 151.68/151.91 (define @t23 () (=> @t22 (= @t9 @t11))) % 151.68/151.91 (define @t24 () (@list @t9 @t11)) % 151.68/151.91 (define @t25 () (forall @t24 @t23)) % 151.68/151.91 (define @t26 () (@list @t3)) % 151.68/151.91 (define @t27 () (lambda @t26 @t25)) % 151.68/151.91 (define @t28 () (exists @t14 @t12)) % 151.68/151.91 (define @t29 () (forall @t19 @t28)) % 151.68/151.91 (define @t30 () (lambda @t26 @t29)) % 151.68/151.91 (define @t31 () (and (_ tptp.fun_injective @t3) (_ tptp.fun_surjective @t3))) % 151.68/151.91 (define @t32 () (lambda @t26 @t31)) % 151.68/151.91 (define @t33 () (@var "SMALLER" (-> $$unsorted $$unsorted Bool))) % 151.68/151.91 (define @t34 () (_ (_ @t33 @t9) @t11)) % 151.68/151.91 (define @t35 () (@list @t3 @t33)) % 151.68/151.91 (define @t36 () (lambda @t35 (forall @t24 (=> @t34 (_ (_ @t33 @t21) @t10))))) % 151.68/151.91 (define @t37 () (lambda @t35 (forall @t24 (=> @t34 (_ (_ @t33 @t10) @t21))))) % 151.68/151.91 (define @t38 () (@var "BOUND_VARIABLE_7866" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 151.68/151.91 (define @t39 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 151.68/151.91 (define @t40 () (_ @t39 @t38 @t9)) % 151.68/151.91 (define @t41 () (@var "BOUND_VARIABLE_7845" $$unsorted)) % 151.68/151.91 (define @t42 () (not (= @t40 @t41))) % 151.68/151.91 (define @t43 () (forall @t14 @t42)) % 151.68/151.91 (define @t44 () (not @t43)) % 151.68/151.91 (define @t45 () (@var "BOUND_VARIABLE_7837" $$unsorted)) % 151.68/151.91 (define @t46 () (@var "BOUND_VARIABLE_7835" $$unsorted)) % 151.68/151.91 (define @t47 () (= @t46 @t45)) % 151.68/151.91 (define @t48 () (_ @t39 @t38 @t46)) % 151.68/151.91 (define @t49 () (_ @t39 @t38 @t45)) % 151.68/151.91 (define @t50 () (not (= @t48 @t49))) % 151.68/151.91 (define @t51 () (or @t50 @t47)) % 151.68/151.91 (define @t52 () (and @t51 @t44)) % 151.68/151.91 (define @t53 () (@var "BOUND_VARIABLE_7882" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 151.68/151.91 (define @t54 () (@var "BOUND_VARIABLE_7884" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 151.68/151.91 (define @t55 () (not (forall @t19 (not (forall @t14 (not (= @t11 (_ @t39 @t54 (_ @t39 @t53 @t40))))))))) % 151.68/151.91 (define @t56 () (not (forall @t19 (not (forall @t14 (not (= @t11 (_ @t39 @t53 (_ @t39 @t38 (_ @t39 @t54 @t9)))))))))) % 151.68/151.91 (define @t57 () (= @t11 @t9)) % 151.68/151.91 (define @t58 () (_ @t39 @t38 (_ @t39 @t54 (_ @t39 @t53 @t9)))) % 151.68/151.91 (define @t59 () (_ @t39 @t38 (_ @t39 @t54 (_ @t39 @t53 @t11)))) % 151.68/151.91 (define @t60 () (not (= @t58 @t59))) % 151.68/151.91 (define @t61 () (or @t60 @t57)) % 151.68/151.91 (define @t62 () (forall @t24 @t61)) % 151.68/151.91 (define @t63 () (not @t62)) % 151.68/151.91 (define @t64 () (or @t63 @t56 @t55 @t52)) % 151.68/151.91 (define @t65 () (@list @t53 @t54 @t38 @t46 @t45 @t41)) % 151.68/151.91 (define @t66 () (forall @t65 @t64)) % 151.68/151.91 (define @t67 () (not @t66)) % 151.68/151.91 (define @t68 () (_ @t1 @t9)) % 151.68/151.91 (define @t69 () (not (= (_ @t1 @t46) (_ @t1 @t45)))) % 151.68/151.91 (define @t70 () (_ @t3 @t68)) % 151.68/151.91 (define @t71 () (_ @t2 @t70)) % 151.68/151.91 (define @t72 () (forall @t19 (not (forall @t14 (not (= @t11 @t71)))))) % 151.68/151.91 (define @t73 () (not @t72)) % 151.68/151.91 (define @t74 () (_ @t2 @t9)) % 151.68/151.91 (define @t75 () (_ @t1 @t74)) % 151.68/151.91 (define @t76 () (_ @t3 @t75)) % 151.68/151.91 (define @t77 () (forall @t19 (not (forall @t14 (not (= @t11 @t76)))))) % 151.68/151.91 (define @t78 () (not @t77)) % 151.68/151.91 (define @t79 () (_ @t3 @t11)) % 151.68/151.91 (define @t80 () (_ @t2 @t79)) % 151.68/151.91 (define @t81 () (_ @t1 @t80)) % 151.68/151.91 (define @t82 () (_ @t3 @t9)) % 151.68/151.91 (define @t83 () (_ @t2 @t82)) % 151.68/151.91 (define @t84 () (_ @t1 @t83)) % 151.68/151.91 (define @t85 () (forall @t24 (or (not (= @t84 @t81)) @t57))) % 151.68/151.91 (define @t86 () (not @t85)) % 151.68/151.91 (define @t87 () (@list @t3 @t2 @t1 @t46 @t45 @t41)) % 151.68/151.91 (define @t88 () (not (= @t41 @t68))) % 151.68/151.91 (define @t89 () (forall @t14 @t88)) % 151.68/151.91 (define @t90 () (not @t89)) % 151.68/151.91 (define @t91 () (or @t69 (= @t45 @t46))) % 151.68/151.91 (define @t92 () (and @t91 @t90)) % 151.68/151.91 (define @t93 () (or @t86 @t78 @t73 @t92)) % 151.68/151.91 (define @t94 () (forall @t87 @t93)) % 151.68/151.91 (define @t95 () (@list @t46 @t45 @t41)) % 151.68/151.91 (define @t96 () (forall @t95 @t93)) % 151.68/151.91 (define @t97 () (forall (@list @t41) @t90)) % 151.68/151.91 (define @t98 () (forall @t95 @t90)) % 151.68/151.91 (define @t99 () (forall (@list @t46 @t45) @t91)) % 151.68/151.91 (define @t100 () (forall @t95 @t91)) % 151.68/151.91 (define @t101 () (and @t100 @t98)) % 151.68/151.91 (define @t102 () (forall @t95 @t92)) % 151.68/151.91 (define @t103 () (or @t86 @t78 @t73 @t102)) % 151.68/151.91 (define @t104 () (and (forall @t24 (or (not (= @t68 (_ @t1 @t11))) @t57)) (forall @t19 (not (forall @t14 (not (= @t11 @t68))))))) % 151.68/151.91 (define @t105 () (or @t86 @t78 @t73 @t104)) % 151.68/151.91 (define @t106 () (or @t86 @t78 @t73)) % 151.68/151.91 (define @t107 () (and @t85 @t77 @t72)) % 151.68/151.91 (define @t108 () (forall @t19 (not (forall @t14 (not (= @t11 @t82)))))) % 151.68/151.91 (define @t109 () (forall @t24 (or (not (= @t82 @t79)) @t57))) % 151.68/151.91 (define @t110 () (_ (lambda @t26 (and @t109 @t108)) @t1)) % 151.68/151.91 (define @t111 () (_ @t1 @t9)) % 151.68/151.91 (define @t112 () (_ @t3 @t111)) % 151.68/151.91 (define @t113 () (_ @t2 @t112)) % 151.68/151.91 (define @t114 () (= @t11 @t113)) % 151.68/151.91 (define @t115 () (not @t114)) % 151.68/151.91 (define @t116 () (lambda @t14 @t113)) % 151.68/151.91 (define @t117 () (_ @t116 @t9)) % 151.68/151.91 (define @t118 () (= @t11 @t117)) % 151.68/151.91 (define @t119 () (not @t118)) % 151.68/151.91 (define @t120 () (forall @t14 @t119)) % 151.68/151.91 (define @t121 () (not @t120)) % 151.68/151.91 (define @t122 () (forall @t19 @t121)) % 151.68/151.91 (define @t123 () (lambda @t26 @t108)) % 151.68/151.91 (define @t124 () (@list @t2 @t9)) % 151.68/151.91 (define @t125 () (lambda @t14 @t112)) % 151.68/151.91 (define @t126 () (_ @t125 @t9)) % 151.68/151.91 (define @t127 () (lambda @t124 (_ @t2 @t126))) % 151.68/151.91 (define @t128 () (lambda @t124 (_ @t2 @t111))) % 151.68/151.91 (define @t129 () (_ @t17 @t1)) % 151.68/151.91 (define @t130 () (_ @t2 @t9)) % 151.68/151.91 (define @t131 () (_ @t1 @t130)) % 151.68/151.91 (define @t132 () (_ @t3 @t131)) % 151.68/151.91 (define @t133 () (= @t11 @t132)) % 151.68/151.91 (define @t134 () (not @t133)) % 151.68/151.91 (define @t135 () (lambda @t14 @t132)) % 151.68/151.91 (define @t136 () (_ @t135 @t9)) % 151.68/151.91 (define @t137 () (= @t11 @t136)) % 151.68/151.91 (define @t138 () (not @t137)) % 151.68/151.91 (define @t139 () (forall @t14 @t138)) % 151.68/151.91 (define @t140 () (not @t139)) % 151.68/151.91 (define @t141 () (forall @t19 @t140)) % 151.68/151.91 (define @t142 () (@var "BOUND_VARIABLE_7741" (-> $$unsorted $$unsorted))) % 151.68/151.91 (define @t143 () (@list @t142 @t9)) % 151.68/151.91 (define @t144 () (lambda @t14 @t131)) % 151.68/151.91 (define @t145 () (_ @t144 @t9)) % 151.68/151.91 (define @t146 () (lambda @t143 (_ @t142 @t145))) % 151.68/151.91 (define @t147 () (@list @t2)) % 151.68/151.91 (define @t148 () (@var "BOUND_VARIABLE_7724" (-> $$unsorted $$unsorted))) % 151.68/151.91 (define @t149 () (lambda (@list @t148 @t9) (_ @t148 @t130))) % 151.68/151.91 (define @t150 () (_ @t2 @t21)) % 151.68/151.91 (define @t151 () (_ @t1 @t150)) % 151.68/151.91 (define @t152 () (_ @t1 @t16)) % 151.68/151.91 (define @t153 () (= @t152 @t151)) % 151.68/151.91 (define @t154 () (not @t153)) % 151.68/151.91 (define @t155 () (or @t154 @t57)) % 151.68/151.91 (define @t156 () (lambda @t14 @t152)) % 151.68/151.91 (define @t157 () (_ @t156 @t11)) % 151.68/151.91 (define @t158 () (_ @t156 @t9)) % 151.68/151.91 (define @t159 () (= @t158 @t157)) % 151.68/151.91 (define @t160 () (not @t159)) % 151.68/151.91 (define @t161 () (or @t160 @t57)) % 151.68/151.91 (define @t162 () (forall @t24 @t161)) % 151.68/151.91 (define @t163 () (lambda @t26 @t109)) % 151.68/151.91 (define @t164 () (@var "BOUND_VARIABLE_7681" (-> $$unsorted $$unsorted))) % 151.68/151.91 (define @t165 () (@list @t164 @t9)) % 151.68/151.91 (define @t166 () (lambda @t14 @t16)) % 151.68/151.91 (define @t167 () (_ @t166 @t9)) % 151.68/151.91 (define @t168 () (lambda @t165 (_ @t164 @t167))) % 151.68/151.91 (define @t169 () (lambda @t124 @t16)) % 151.68/151.91 (define @t170 () (_ @t17 @t3)) % 151.68/151.91 (define @t171 () (and (_ @t163 (_ (_ @t17 (_ @t170 @t2)) @t1)) (_ @t123 (_ (_ @t17 (_ (_ @t17 @t2) @t1)) @t3)) (_ @t123 (_ (_ @t17 (_ @t129 @t3)) @t2)))) % 151.68/151.91 (define @t172 () (=> @t171 @t110)) % 151.68/151.91 (define @t173 () (forall @t6 @t172)) % 151.68/151.91 (define @t174 () (_ @t123 @t3)) % 151.68/151.91 (define @t175 () (_ @t163 @t3)) % 151.68/151.91 (define @t176 () (not @t12)) % 151.68/151.91 (define @t177 () (forall @t14 @t176)) % 151.68/151.91 (define @t178 () (not @t177)) % 151.68/151.91 (define @t179 () (not @t22)) % 151.68/151.91 (define @t180 () (or @t179 @t57)) % 151.68/151.91 (define @t181 () (forall @t65 (or (not (forall @t24 (or (not (= @t59 @t58)) @t57))) @t56 @t55 (and (or (not (= @t49 @t48)) @t47) (not (forall @t14 (not (= @t41 @t40)))))))) % 151.68/151.91 (define @t182 () (@quantifiers_skolemize @t181 0)) % 151.68/151.91 (define @t183 () (@quantifiers_skolemize @t181 1)) % 151.68/151.91 (define @t184 () (@quantifiers_skolemize @t181 2)) % 151.68/151.91 (define @t185 () (forall @t24 (or (not (= (_ @t39 @t184 (_ @t39 @t183 (_ @t39 @t182 @t11))) (_ @t39 @t184 (_ @t39 @t183 (_ @t39 @t182 @t9))))) @t57))) % 151.68/151.91 (define @t186 () (_ @t39 @t184 @t9)) % 151.68/151.91 (define @t187 () (@quantifiers_skolemize @t181 5)) % 151.68/151.91 (define @t188 () (forall @t14 (not (= @t187 @t186)))) % 151.68/151.91 (define @t189 () (not @t188)) % 151.68/151.91 (define @t190 () (@quantifiers_skolemize @t181 4)) % 151.68/151.91 (define @t191 () (@quantifiers_skolemize @t181 3)) % 151.68/151.91 (define @t192 () (= @t191 @t190)) % 151.68/151.91 (define @t193 () (_ @t39 @t184 @t190)) % 151.68/151.91 (define @t194 () (= @t193 (_ @t39 @t184 @t191))) % 151.68/151.91 (define @t195 () (not @t194)) % 151.68/151.91 (define @t196 () (or @t195 @t192)) % 151.68/151.91 (define @t197 () (and @t196 @t189)) % 151.68/151.91 (define @t198 () (_ @t39 @t183 (_ @t39 @t182 @t186))) % 151.68/151.91 (define @t199 () (forall @t19 (not (forall @t14 (not (= @t11 @t198)))))) % 151.68/151.91 (define @t200 () (not @t199)) % 151.68/151.91 (define @t201 () (_ @t39 @t182 (_ @t39 @t184 (_ @t39 @t183 @t9)))) % 151.68/151.91 (define @t202 () (forall @t19 (not (forall @t14 (not (= @t11 @t201)))))) % 151.68/151.91 (define @t203 () (not @t202)) % 151.68/151.91 (define @t204 () (not @t185)) % 151.68/151.91 (define @t205 () (or @t204 @t203 @t200 @t197)) % 151.68/151.91 (define @t206 () (@list true)) % 151.68/151.91 (define @t207 () (@list @t205)) % 151.68/151.91 (define @t208 () (forall @t14 (not (= @t191 @t198)))) % 151.68/151.91 (define @t209 () (_ @t39 @t184 (@quantifiers_skolemize @t208 0))) % 151.68/151.91 (define @t210 () (forall @t14 (not (= @t190 @t198)))) % 151.68/151.91 (define @t211 () (_ @t39 @t184 (@quantifiers_skolemize @t210 0))) % 151.68/151.91 (define @t212 () (_ @t39 @t183 (_ @t39 @t182 @t211))) % 151.68/151.91 (define @t213 () (= @t190 @t212)) % 151.68/151.91 (define @t214 () (not @t210)) % 151.68/151.91 (define @t215 () (not @t213)) % 151.68/151.91 (define @t216 () (not @t215)) % 151.68/151.91 (define @t217 () (_ @t39 @t182 @t209)) % 151.68/151.91 (define @t218 () (_ @t39 @t183 @t217)) % 151.68/151.91 (define @t219 () (= @t191 @t218)) % 151.68/151.91 (define @t220 () (not @t208)) % 151.68/151.91 (define @t221 () (not @t219)) % 151.68/151.91 (define @t222 () (not @t221)) % 151.68/151.91 (define @t223 () (_ @t39 @t182 @t187)) % 151.68/151.91 (define @t224 () (forall @t14 (not (= @t201 @t223)))) % 151.68/151.91 (define @t225 () (_ @t39 @t183 (@quantifiers_skolemize @t224 0))) % 151.68/151.91 (define @t226 () (_ @t39 @t184 @t225)) % 151.68/151.91 (define @t227 () (not (= @t223 @t201))) % 151.68/151.91 (define @t228 () (forall @t14 @t227)) % 151.68/151.91 (define @t229 () (not @t228)) % 151.68/151.91 (define @t230 () (not @t224)) % 151.68/151.91 (define @t231 () (@list false)) % 151.68/151.91 (define @t232 () (_ @t39 @t182 @t226)) % 151.68/151.91 (define @t233 () (= @t223 @t232)) % 151.68/151.91 (define @t234 () (= @t232 @t223)) % 151.68/151.91 (define @t235 () (not (not @t234))) % 151.68/151.91 (define @t236 () (_ @t39 @t183 @t223)) % 151.68/151.91 (define @t237 () (_ @t39 @t184 @t236)) % 151.68/151.91 (define @t238 () (= @t187 @t226)) % 151.68/151.91 (define @t239 () (= @t237 (_ @t39 @t184 (_ @t39 @t183 @t232)))) % 151.68/151.91 (define @t240 () (not @t239)) % 151.68/151.91 (define @t241 () (or @t240 @t238)) % 151.68/151.91 (define @t242 () (not @t196)) % 151.68/151.91 (define @t243 () (@list @t196)) % 151.68/151.91 (define @t244 () (_ @t39 @t184 @t218)) % 151.68/151.91 (define @t245 () (= @t244 (_ @t39 @t184 @t212))) % 151.68/151.91 (define @t246 () (and @t194 @t219 @t213)) % 151.68/151.91 (define @t247 () (= @t209 @t211)) % 151.68/151.91 (define @t248 () (and @t219 @t213 @t247)) % 151.68/151.91 (define @t249 () (not @t247)) % 151.68/151.91 (define @t250 () (@list true false false)) % 151.68/151.91 (define @t251 () (not @t245)) % 151.68/151.91 (define @t252 () (or @t251 @t247)) % 151.68/151.91 (assume @p1 @t8) % 151.68/151.91 (assume @p2 true) % 151.68/151.91 (step @p3 (= tptp.fun_image @t15) :rule refl :args (@t15)) % 151.68/151.91 (step @p4 (= tptp.fun_composition @t17) :rule refl :args (@t17)) % 151.68/151.91 (step @p5 (= tptp.fun_inv_image @t20) :rule refl :args (@t20)) % 151.68/151.91 (step @p6 (= tptp.fun_injective @t27) :rule refl :args (@t27)) % 151.68/151.91 (step @p7 (= tptp.fun_surjective @t30) :rule refl :args (@t30)) % 151.68/151.91 (step @p8 (= tptp.fun_bijective @t32) :rule refl :args (@t32)) % 151.68/151.91 (step @p9 (= tptp.fun_decreasing @t36) :rule refl :args (@t36)) % 151.68/151.91 (step @p10 (= tptp.fun_increasing @t37) :rule refl :args (@t37)) % 151.68/151.91 (step @p11 :rule eq-symm :args (@t40 @t41)) % 151.68/151.91 (step @p12 :rule cong :premises (@p11) :args (@t42)) % 151.68/151.91 (step @p13 :rule cong :premises (@p12) :args (@t43)) % 151.68/151.91 (step @p14 :rule cong :premises (@p13) :args (@t44)) % 151.68/151.91 (step @p15 :rule refl :args (@t47)) % 151.68/151.91 (step @p16 :rule eq-symm :args (@t48 @t49)) % 151.68/151.91 (step @p17 :rule cong :premises (@p16) :args (@t50)) % 151.68/151.91 (step @p18 :rule nary_cong :premises (@p17 @p15) :args (@t51)) % 151.68/151.91 (step @p19 :rule nary_cong :premises (@p18 @p14) :args (@t52)) % 151.68/151.91 (step @p20 :rule refl :args (@t55)) % 151.68/151.91 (step @p21 :rule refl :args (@t56)) % 151.68/151.91 (step @p22 :rule refl :args (@t57)) % 151.68/151.91 (step @p23 :rule eq-symm :args (@t58 @t59)) % 151.68/151.91 (step @p24 :rule cong :premises (@p23) :args (@t60)) % 151.68/151.91 (step @p25 :rule nary_cong :premises (@p24 @p22) :args (@t61)) % 151.68/151.91 (step @p26 :rule cong :premises (@p25) :args (@t62)) % 151.68/151.91 (step @p27 :rule cong :premises (@p26) :args (@t63)) % 151.68/151.91 (step @p28 :rule nary_cong :premises (@p27 @p21 @p20 @p19) :args (@t64)) % 151.68/151.91 (step @p29 :rule cong :premises (@p28) :args (@t66)) % 151.68/151.91 (step @p30 :rule cong :premises (@p29) :args (@t67)) % 151.68/151.91 ; WARNING: add trust step for TRUST % 151.68/151.91 ; trust TRUST PREPROCESS_HO_ELIM % 151.68/151.91 (step @p31 :rule trust :premises () :args ((= (not (forall @t87 (or @t86 @t78 @t73 (and (or @t69 @t47) (not (forall @t14 (not (= @t68 @t41)))))))) @t67))) % 151.68/151.91 (step @p32 :rule eq-symm :args (@t41 @t68)) % 151.68/151.91 (step @p33 :rule cong :premises (@p32) :args (@t88)) % 151.68/151.91 (step @p34 :rule cong :premises (@p33) :args (@t89)) % 151.68/151.91 (step @p35 :rule cong :premises (@p34) :args (@t90)) % 151.68/151.91 (step @p36 :rule eq-symm :args (@t45 @t46)) % 151.68/151.91 (step @p37 :rule refl :args (@t69)) % 151.68/151.91 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t91)) % 151.68/151.91 (step @p39 :rule nary_cong :premises (@p38 @p35) :args (@t92)) % 151.68/151.91 (step @p40 :rule refl :args (@t73)) % 151.68/151.91 (step @p41 :rule refl :args (@t78)) % 151.68/151.91 (step @p42 :rule refl :args (@t86)) % 151.68/151.91 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40 @p39) :args (@t93)) % 151.68/151.91 (step @p44 :rule cong :premises (@p43) :args (@t94)) % 151.68/151.91 (step @p45 :rule quant-merge-prenex :args ((= (forall @t6 @t96) @t94))) % 151.68/151.91 (step @p46 :rule alpha_equiv :args (@t97 (@list @t41) (@list @t11))) % 151.68/151.91 (step @p47 :rule quant-unused-vars :args ((= @t98 @t97))) % 151.68/151.91 (step @p48 :rule trans :premises (@p47 @p46)) % 151.68/151.91 (step @p49 :rule alpha_equiv :args (@t99 (@list @t46 @t45) (@list @t9 @t11))) % 151.68/151.91 (step @p50 :rule quant-unused-vars :args ((= @t100 @t99))) % 151.68/151.91 (step @p51 :rule trans :premises (@p50 @p49)) % 151.68/151.91 (step @p52 :rule nary_cong :premises (@p51 @p48) :args (@t101)) % 151.68/151.91 (step @p53 :rule quant-miniscope-and :args ((= @t102 @t101))) % 151.68/151.91 (step @p54 :rule trans :premises (@p53 @p52)) % 151.68/151.91 (step @p55 :rule refl :args (@t73)) % 151.68/151.91 (step @p56 :rule refl :args (@t78)) % 151.68/151.91 (step @p57 :rule refl :args (@t86)) % 151.68/151.91 (step @p58 :rule nary_cong :premises (@p57 @p56 @p55 @p54) :args (@t103)) % 151.68/151.91 (step @p59 :rule quant-miniscope-or :args ((= @t96 @t103))) % 151.68/151.91 (step @p60 :rule trans :premises (@p59 @p58)) % 151.68/151.91 (step @p61 :rule symm :premises (@p60)) % 151.68/151.91 (step @p62 :rule cong :premises (@p61) :args ((forall @t6 @t105))) % 151.68/151.91 (step @p63 :rule trans :premises (@p62 @p45)) % 151.68/151.91 (step @p64 :rule trans :premises (@p63 @p44)) % 151.68/151.91 (step @p65 :rule aci_norm :args ((= (or @t106 @t104) @t105))) % 151.68/151.91 (step @p66 :rule refl :args (@t104)) % 151.68/151.91 (step @p67 :rule aci_norm :args ((= (or @t86 (or @t78 @t73)) @t106))) % 151.68/151.91 (step @p68 :rule bool-and-de-morgan :args (@t77 @t72 true)) % 151.68/151.91 (step @p69 :rule nary_cong :premises (@p57 @p68) :args ((or @t86 (not (and @t77 @t72))))) % 151.68/151.91 (step @p70 :rule bool-and-de-morgan :args (@t85 @t77 (and @t72))) % 151.68/151.91 (step @p71 :rule trans :premises (@p70 @p69)) % 151.68/151.91 (step @p72 :rule trans :premises (@p71 @p67)) % 151.68/151.91 (step @p73 :rule nary_cong :premises (@p72 @p66) :args ((or (not @t107) @t104))) % 151.68/151.91 (step @p74 :rule trans :premises (@p73 @p65)) % 151.68/151.91 (step @p75 :rule bool-impl-elim :args (@t107 @t104)) % 151.68/151.91 (step @p76 :rule trans :premises (@p75 @p74)) % 151.68/151.91 (step @p77 :rule cong :premises (@p76) :args ((forall @t6 (=> @t107 @t104)))) % 151.68/151.91 (step @p78 :rule trans :premises (@p77 @p64)) % 151.68/151.91 (step @p79 :rule beta-reduce :args ((= @t110 @t104))) % 151.68/151.91 (step @p80 :rule refl :args ((_ @t2 @t112))) % 151.68/151.91 (step @p81 :rule refl :args ((_ @t3 @t111))) % 151.68/151.91 (step @p82 :rule refl :args (@t68)) % 151.68/151.91 (step @p83 :rule cong :premises (@p82) :args (@t70)) % 151.68/151.91 (step @p84 :rule trans :premises (@p83 @p81)) % 151.68/151.91 (step @p85 :rule cong :premises (@p84) :args (@t71)) % 151.68/151.91 (step @p86 :rule trans :premises (@p85 @p80)) % 151.68/151.91 (step @p87 :rule refl :args (@t2)) % 151.68/151.91 (step @p88 :rule ho_cong :premises (@p87 @p84)) % 151.68/151.91 (step @p89 :rule cong :premises (@p88 @p86) :args ((= (_ @t2 @t70) @t71))) % 151.68/151.91 (step @p90 :rule symm :premises (@p89)) % 151.68/151.91 (step @p91 :rule refl :args (@t113)) % 151.68/151.91 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 151.68/151.91 (step @p93 :rule refl :args (@t3)) % 151.68/151.91 (step @p94 :rule ho_cong :premises (@p93 @p82)) % 151.68/151.91 (step @p95 :rule cong :premises (@p94 @p84) :args ((= (_ @t3 @t68) @t70))) % 151.68/151.91 (step @p96 :rule symm :premises (@p95)) % 151.68/151.91 (step @p97 :rule refl :args (@t112)) % 151.68/151.91 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 151.68/151.91 (step @p99 :rule refl :args (@t111)) % 151.68/151.91 (step @p100 :rule cong :premises (@p99 @p82) :args ((= @t111 @t68))) % 151.68/151.91 (step @p101 :rule symm :premises (@p100)) % 151.68/151.91 (step @p102 :rule eq_resolve :premises (@p99 @p101)) % 151.68/151.91 (step @p103 :rule ho_cong :premises (@p93 @p102)) % 151.68/151.91 (step @p104 :rule trans :premises (@p103 @p98)) % 151.68/151.91 (step @p105 :rule ho_cong :premises (@p87 @p104)) % 151.68/151.91 (step @p106 :rule trans :premises (@p105 @p92)) % 151.68/151.91 (step @p107 :rule refl :args (@t11)) % 151.68/151.91 (step @p108 :rule cong :premises (@p107 @p106) :args (@t114)) % 151.68/151.91 (step @p109 :rule cong :premises (@p108) :args (@t115)) % 151.68/151.91 (step @p110 :rule cong :premises (@p109) :args ((forall @t14 @t115))) % 151.68/151.91 (step @p111 :rule beta-reduce :args ((= @t117 @t113))) % 151.68/151.91 (step @p112 :rule refl :args (@t11)) % 151.68/151.91 (step @p113 :rule cong :premises (@p112 @p111) :args (@t118)) % 151.68/151.91 (step @p114 :rule cong :premises (@p113) :args (@t119)) % 151.68/151.91 (step @p115 :rule cong :premises (@p114) :args (@t120)) % 151.68/151.91 (step @p116 :rule trans :premises (@p115 @p110)) % 151.68/151.91 (step @p117 :rule cong :premises (@p116) :args (@t121)) % 151.68/151.91 (step @p118 :rule cong :premises (@p117) :args (@t122)) % 151.68/151.91 (step @p119 :rule beta-reduce :args ((= (_ @t123 @t116) @t122))) % 151.68/151.91 (step @p120 :rule trans :premises (@p119 @p118)) % 151.68/151.91 (step @p121 :rule beta-reduce :args ((= (_ (lambda @t124 @t113) @t2) @t116))) % 151.68/151.91 (step @p122 :rule refl :args (@t2)) % 151.68/151.91 (step @p123 :rule beta-reduce :args ((= @t126 @t112))) % 151.68/151.91 (step @p124 :rule ho_cong :premises (@p122 @p123)) % 151.68/151.91 (step @p125 :rule cong :premises (@p124) :args (@t127)) % 151.68/151.91 (step @p126 :rule beta-reduce :args ((= (_ @t17 @t125) @t127))) % 151.68/151.91 (step @p127 :rule trans :premises (@p126 @p125)) % 151.68/151.91 (step @p128 :rule beta-reduce :args ((= (_ @t128 @t3) @t125))) % 151.68/151.91 (step @p129 :rule refl :args (@t3)) % 151.68/151.91 (step @p130 :rule beta-reduce :args ((= @t129 @t128))) % 151.68/151.91 (step @p131 :rule ho_cong :premises (@p130 @p129)) % 151.68/151.91 (step @p132 :rule trans :premises (@p131 @p128)) % 151.68/151.91 (step @p133 :rule refl :args (@t17)) % 151.68/151.91 (step @p134 :rule ho_cong :premises (@p133 @p132)) % 151.68/151.91 (step @p135 :rule trans :premises (@p134 @p127)) % 151.68/151.91 (step @p136 :rule ho_cong :premises (@p135 @p122)) % 151.68/151.91 (step @p137 :rule trans :premises (@p136 @p121)) % 151.68/151.91 (step @p138 :rule refl :args (@t123)) % 151.68/151.91 (step @p139 :rule ho_cong :premises (@p138 @p137)) % 151.68/151.91 (step @p140 :rule trans :premises (@p139 @p120)) % 151.68/151.91 (step @p141 :rule refl :args ((_ @t3 @t131))) % 151.68/151.91 (step @p142 :rule refl :args ((_ @t1 @t130))) % 151.68/151.91 (step @p143 :rule refl :args (@t74)) % 151.68/151.91 (step @p144 :rule cong :premises (@p143) :args (@t75)) % 151.68/151.91 (step @p145 :rule trans :premises (@p144 @p142)) % 151.68/151.91 (step @p146 :rule cong :premises (@p145) :args (@t76)) % 151.68/151.91 (step @p147 :rule trans :premises (@p146 @p141)) % 151.68/151.91 (step @p148 :rule ho_cong :premises (@p93 @p145)) % 151.68/151.91 (step @p149 :rule cong :premises (@p148 @p147) :args ((= (_ @t3 @t75) @t76))) % 151.68/151.91 (step @p150 :rule symm :premises (@p149)) % 151.68/151.91 (step @p151 :rule refl :args (@t132)) % 151.68/151.91 (step @p152 :rule eq_resolve :premises (@p151 @p150)) % 151.68/151.91 (step @p153 :rule refl :args (@t1)) % 151.68/151.91 (step @p154 :rule ho_cong :premises (@p153 @p143)) % 151.68/151.91 (step @p155 :rule cong :premises (@p154 @p145) :args ((= (_ @t1 @t74) @t75))) % 151.68/151.91 (step @p156 :rule symm :premises (@p155)) % 151.68/151.91 (step @p157 :rule refl :args (@t131)) % 151.68/151.91 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 151.68/151.91 (step @p159 :rule refl :args (@t130)) % 151.68/151.91 (step @p160 :rule cong :premises (@p159 @p143) :args ((= @t130 @t74))) % 151.68/151.91 (step @p161 :rule symm :premises (@p160)) % 151.68/151.91 (step @p162 :rule eq_resolve :premises (@p159 @p161)) % 151.68/151.91 (step @p163 :rule ho_cong :premises (@p153 @p162)) % 151.68/151.91 (step @p164 :rule trans :premises (@p163 @p158)) % 151.68/151.91 (step @p165 :rule ho_cong :premises (@p93 @p164)) % 151.68/151.91 (step @p166 :rule trans :premises (@p165 @p152)) % 151.68/151.91 (step @p167 :rule cong :premises (@p107 @p166) :args (@t133)) % 151.68/151.91 (step @p168 :rule cong :premises (@p167) :args (@t134)) % 151.68/151.91 (step @p169 :rule cong :premises (@p168) :args ((forall @t14 @t134))) % 151.68/151.91 (step @p170 :rule beta-reduce :args ((= @t136 @t132))) % 151.68/151.91 (step @p171 :rule cong :premises (@p112 @p170) :args (@t137)) % 151.68/151.91 (step @p172 :rule cong :premises (@p171) :args (@t138)) % 151.68/151.91 (step @p173 :rule cong :premises (@p172) :args (@t139)) % 151.68/151.91 (step @p174 :rule trans :premises (@p173 @p169)) % 151.68/151.91 (step @p175 :rule cong :premises (@p174) :args (@t140)) % 151.68/151.91 (step @p176 :rule cong :premises (@p175) :args (@t141)) % 151.68/151.91 (step @p177 :rule beta-reduce :args ((= (_ @t123 @t135) @t141))) % 151.68/151.91 (step @p178 :rule trans :premises (@p177 @p176)) % 151.68/151.91 (step @p179 :rule beta-reduce :args ((= (_ (lambda @t143 (_ @t142 @t131)) @t3) @t135))) % 151.68/151.91 (step @p180 :rule beta-reduce :args ((= @t145 @t131))) % 151.68/151.91 (step @p181 :rule refl :args (@t142)) % 151.68/151.91 (step @p182 :rule ho_cong :premises (@p181 @p180)) % 151.68/151.91 (step @p183 :rule cong :premises (@p182) :args (@t146)) % 151.68/151.91 (step @p184 :rule beta-reduce :args ((= (_ (lambda (@list @t3 @t142 @t9) (_ @t142 @t10)) @t144) @t146))) % 151.68/151.91 (step @p185 :rule trans :premises (@p184 @p183)) % 151.68/151.91 (step 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(step @p424 :rule cong :premises (@p423 @p422) :args ((=> @t230 @t235))) % 151.68/151.91 (assume-push @p523 @t230) % 151.68/151.91 (step @p426 :rule skolemize :premises (@p416)) % 151.68/151.91 (step-pop @p524 :rule scope :premises (@p426)) % 151.68/151.91 (step @p427 :rule process_scope :premises (@p524) :args (@t235)) % 151.68/151.91 (step @p429 :rule eq_resolve :premises (@p427 @p424)) % 151.68/151.91 (step @p430 :rule implies_elim :premises (@p429)) % 151.68/151.91 (step @p431 :rule eq_resolve :premises (@p430 @p419)) % 151.68/151.91 (step @p432 :rule chain_m_resolution :premises (@p431 @p416) :args (@t233 @t206 (@list @t224))) % 151.68/151.91 (step @p433 :rule refl :args (@t183)) % 151.68/151.91 (step @p434 :rule cong :premises (@p433 @p432) :args (@t236)) % 151.68/151.91 (step @p435 :rule refl :args (@t184)) % 151.68/151.91 (step @p436 :rule cong :premises (@p435 @p434) :args (@t237)) % 151.68/151.91 (step @p437 :rule cnf_or_pos :args (@t241)) % 151.68/151.91 (step @p438 :rule reordering :premises (@p437) :args ((or @t240 @t238 (not @t241)))) % 151.68/151.91 (step @p439 :rule chain_m_resolution :premises (@p438 @p436 @p397) :args (@t238 (@list false false) (@list @t239 @t241))) % 151.68/151.91 (assume-push @p525 @t188) % 151.68/151.91 (step @p441 :rule instantiate :premises (@p525) :args ((@list @t225))) % 151.68/151.91 (step-pop @p526 :rule scope :premises (@p441)) % 151.68/151.91 (step @p442 :rule process_scope :premises (@p526) :args ((not @t238))) % 151.68/151.91 (step @p444 :rule implies_elim :premises (@p442)) % 151.68/151.91 (step @p445 :rule chain_m_resolution :premises (@p444 @p439) :args (@t189 @t231 (@list @t238))) % 151.68/151.91 (step @p446 :rule bool-double-not-elim :args (@t188)) % 151.68/151.91 (step @p447 :rule refl :args (@t242)) % 151.68/151.91 (step @p448 :rule refl :args (@t197)) % 151.68/151.91 (step @p449 :rule nary_cong :premises (@p448 @p447 @p446) :args ((or @t197 @t242 (not @t189)))) % 151.68/151.91 (step @p450 :rule cnf_and_neg :args (@t197)) % 151.68/151.91 (step @p451 :rule eq_resolve :premises (@p450 @p449)) % 151.68/151.91 (step @p452 :rule reordering :premises (@p451) :args ((or @t188 @t197 @t242))) % 151.68/151.91 (step @p453 :rule chain_m_resolution :premises (@p452 @p445 @p396) :args (@t242 (@list true true) (@list @t188 @t197))) % 151.68/151.91 (step @p454 :rule bool-double-not-elim :args (@t194)) % 151.68/151.91 (step @p455 :rule refl :args (@t196)) % 151.68/151.91 (step @p456 :rule nary_cong :premises (@p455 @p454) :args ((or @t196 (not @t195)))) % 151.68/151.91 (step @p457 :rule cnf_or_neg :args (@t196 0)) % 151.68/151.91 (step @p458 :rule eq_resolve :premises (@p457 @p456)) % 151.68/151.91 (step @p459 :rule reordering :premises (@p458) :args ((or @t194 @t196))) % 151.68/151.91 (step @p460 :rule chain_m_resolution :premises (@p459 @p453) :args (@t194 @t206 @t243)) % 151.68/151.91 (assume-push @p527 @t194) % 151.68/151.91 (assume-push @p528 @t219) % 151.68/151.91 (assume-push @p529 @t213) % 151.68/151.91 (assume-push @p530 @t213) % 151.68/151.91 (assume-push @p531 @t194) % 151.68/151.91 (assume-push @p532 @t219) % 151.68/151.91 (step @p467 :rule cong :premises (@p435 @p379) :args (@t193)) % 151.68/151.91 (step @p468 :rule symm :premises (@p527)) % 151.68/151.91 (step @p469 :rule symm :premises (@p394)) % 151.68/151.91 (step @p470 :rule cong :premises (@p435 @p469) :args (@t244)) % 151.68/151.91 (step @p471 :rule trans :premises (@p470 @p468 @p467)) % 151.68/151.91 (step-pop @p533 :rule scope :premises (@p471)) % 151.68/151.91 (step-pop @p534 :rule scope :premises (@p533)) % 151.68/151.91 (step-pop @p535 :rule scope :premises (@p534)) % 151.68/151.91 (step @p472 :rule process_scope :premises (@p535) :args (@t245)) % 151.68/151.91 (step @p476 :rule and_intro :premises (@p379 @p527 @p394)) % 151.68/151.91 (step @p477 :rule modus_ponens :premises (@p476 @p472)) % 151.68/151.91 (step-pop @p536 :rule scope :premises (@p477)) % 151.68/151.91 (step-pop @p537 :rule scope :premises (@p536)) % 151.68/151.91 (step-pop @p538 :rule scope :premises (@p537)) % 151.68/151.91 (step @p478 :rule process_scope :premises (@p538) :args (@t245)) % 151.68/151.91 (step @p482 :rule implies_elim :premises (@p478)) % 151.68/151.91 (step @p483 :rule cnf_and_neg :args (@t246)) % 151.68/151.91 (step @p484 :rule resolution :premises (@p483 @p482) :args (true @t246)) % 151.68/151.91 (step @p485 :rule chain_m_resolution :premises (@p484 @p460 @p394 @p379) :args (@t245 (@list false false false) (@list @t194 @t219 @t213))) % 151.68/151.91 (step @p486 :rule cnf_or_neg :args (@t196 1)) % 151.68/151.91 (step @p487 :rule chain_m_resolution :premises (@p486 @p453) :args ((not @t192) @t206 @t243)) % 151.68/151.91 (assume-push @p539 @t219) % 151.68/151.91 (assume-push @p540 @t213) % 151.68/151.91 (assume-push @p541 @t247) % 151.68/151.91 (assume-push @p542 @t213) % 151.68/151.91 (assume-push @p543 @t247) % 151.68/151.91 (assume-push @p544 @t219) % 151.68/151.91 (step @p494 :rule symm :premises (@p379)) % 151.68/151.91 (step @p495 :rule refl :args (@t182)) % 151.68/151.91 (step @p496 :rule cong :premises (@p495 @p541) :args (@t217)) % 151.68/151.91 (step @p497 :rule cong :premises (@p433 @p496) :args (@t218)) % 151.68/151.91 (step @p498 :rule trans :premises (@p394 @p497 @p494)) % 151.68/151.91 (step-pop @p545 :rule scope :premises (@p498)) % 151.68/151.91 (step-pop @p546 :rule scope :premises (@p545)) % 151.68/151.91 (step-pop @p547 :rule scope :premises (@p546)) % 151.68/151.91 (step @p499 :rule process_scope :premises (@p547) :args (@t192)) % 151.68/151.91 (step @p503 :rule and_intro :premises (@p379 @p541 @p394)) % 151.68/151.91 (step @p504 :rule modus_ponens :premises (@p503 @p499)) % 151.68/151.91 (step-pop @p548 :rule scope :premises (@p504)) % 151.68/151.91 (step-pop @p549 :rule scope :premises (@p548)) % 151.68/151.91 (step-pop @p550 :rule scope :premises (@p549)) % 151.68/151.91 (step @p505 :rule process_scope :premises (@p550) :args (@t192)) % 151.68/151.91 (step @p509 :rule implies_elim :premises (@p505)) % 151.68/151.91 (step @p510 :rule cnf_and_neg :args (@t248)) % 151.68/151.91 (step @p511 :rule resolution :premises (@p510 @p509) :args (true @t248)) % 151.68/151.91 (step @p512 :rule reordering :premises (@p511) :args ((or @t192 @t221 @t215 @t249))) % 151.68/151.91 (step @p513 :rule chain_m_resolution :premises (@p512 @p487 @p394 @p379) :args (@t249 @t250 (@list @t192 @t219 @t213))) % 151.68/151.91 (step @p514 :rule cnf_or_pos :args (@t252)) % 151.68/151.91 (step @p515 :rule reordering :premises (@p514) :args ((or @t251 @t247 (not @t252)))) % 151.68/151.91 (step @p516 false :rule chain_m_resolution :premises (@p515 @p513 @p485 @p358) :args (false @t250 (@list @t247 @t245 @t252))) % 151.68/151.91 ) % 151.68/151.91 % SZS output end Proof % 151.68/151.91 % cvc5 exiting %------------------------------------------------------------------------------