%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU795^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:53:13 AM UTC 2026 % Result : Theorem 179.76s 180.10s % Output : Proof 179.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU795^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.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 17:51:44 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 179.76/180.10 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 179.76/180.10 --- 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... % 179.76/180.10 --- 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... % 179.76/180.10 --- Run --ho-elim --full-saturate-quant at 18s... % 179.76/180.10 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 179.76/180.10 % SZS status Theorem % 179.76/180.10 % SZS output start Proof % 179.76/180.10 ( % 179.76/180.10 (declare-sort $$unsorted 0) % 179.76/180.10 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 179.76/180.10 (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted)) % 179.76/180.10 (declare-const tptp.image1Ex1 Bool) % 179.76/180.10 (declare-const tptp.in__Cong Bool) % 179.76/180.10 (declare-const tptp.descrp Bool) % 179.76/180.10 (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1)))))))))) % 179.76/180.10 (define tptp.image1 () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xf" (-> $$unsorted $$unsorted)))) (let ((_let_3 (@var "Xx" $$unsorted))) (let ((_let_4 (@var "A" $$unsorted))) (let ((_let_5 (@var "B" $$unsorted))) (lambda (@list _let_4 _let_2) (_ tptp.descr (lambda (@list _let_5) (forall (@list _let_3) (= (_ (_ tptp.in _let_3) _let_5) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_4) (= _let_3 (_ _let_2 _let_1))))))))))))))) % 179.76/180.10 (define @t1 () (@var "Xx" $$unsorted)) % 179.76/180.10 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 179.76/180.10 (define @t3 () (_ @t2 @t1)) % 179.76/180.10 (define @t4 () (@list @t1)) % 179.76/180.10 (define @t5 () (lambda @t4 @t3)) % 179.76/180.10 (define @t6 () (_ tptp.descr @t5)) % 179.76/180.10 (define @t7 () (_ @t2 @t6)) % 179.76/180.10 (define @t8 () (=> (_ tptp.exu @t5) @t7)) % 179.76/180.10 (define @t9 () (@list @t2)) % 179.76/180.10 (define @t10 () (forall @t9 @t8)) % 179.76/180.10 (define @t11 () (= tptp.descrp @t10)) % 179.76/180.10 (define @t12 () (@var "B" $$unsorted)) % 179.76/180.10 (define @t13 () (@var "Xy" $$unsorted)) % 179.76/180.10 (define @t14 () (_ tptp.in @t13)) % 179.76/180.10 (define @t15 () (_ @t14 @t12)) % 179.76/180.10 (define @t16 () (@var "A" $$unsorted)) % 179.76/180.10 (define @t17 () (_ tptp.in @t1)) % 179.76/180.10 (define @t18 () (_ @t17 @t16)) % 179.76/180.10 (define @t19 () (= @t18 @t15)) % 179.76/180.10 (define @t20 () (= @t1 @t13)) % 179.76/180.10 (define @t21 () (@list @t1 @t13)) % 179.76/180.10 (define @t22 () (forall @t21 (=> @t20 @t19))) % 179.76/180.10 (define @t23 () (= @t16 @t12)) % 179.76/180.10 (define @t24 () (=> @t23 @t22)) % 179.76/180.10 (define @t25 () (@list @t16 @t12)) % 179.76/180.10 (define @t26 () (forall @t25 @t24)) % 179.76/180.10 (define @t27 () (= tptp.in__Cong @t26)) % 179.76/180.10 (define @t28 () (@var "Xf" (-> $$unsorted $$unsorted))) % 179.76/180.10 (define @t29 () (_ @t28 @t13)) % 179.76/180.10 (define @t30 () (= @t1 @t29)) % 179.76/180.10 (define @t31 () (_ @t14 @t16)) % 179.76/180.10 (define @t32 () (and @t31 @t30)) % 179.76/180.10 (define @t33 () (@list @t13)) % 179.76/180.10 (define @t34 () (exists @t33 @t32)) % 179.76/180.10 (define @t35 () (_ @t17 @t12)) % 179.76/180.10 (define @t36 () (= @t35 @t34)) % 179.76/180.10 (define @t37 () (forall @t4 @t36)) % 179.76/180.10 (define @t38 () (@list @t12)) % 179.76/180.10 (define @t39 () (lambda @t38 @t37)) % 179.76/180.10 (define @t40 () (@list @t16 @t28)) % 179.76/180.10 (define @t41 () (forall @t40 (_ tptp.exu @t39))) % 179.76/180.10 (define @t42 () (= tptp.image1Ex1 @t41)) % 179.76/180.10 (define @t43 () (lambda @t33 @t29)) % 179.76/180.10 (define @t44 () (= (_ @t17 (_ (_ tptp.image1 @t16) @t43)) @t34)) % 179.76/180.10 (define @t45 () (@list @t16 @t28 @t1)) % 179.76/180.10 (define @t46 () (forall @t45 @t44)) % 179.76/180.10 (define @t47 () (=> tptp.image1Ex1 @t46)) % 179.76/180.10 (define @t48 () (=> tptp.in__Cong @t47)) % 179.76/180.10 (define @t49 () (=> tptp.descrp @t48)) % 179.76/180.10 (define @t50 () (not @t49)) % 179.76/180.10 (define @t51 () (_ @t2 @t13)) % 179.76/180.10 (define @t52 () (forall @t33 (=> @t51 @t20))) % 179.76/180.10 (define @t53 () (and @t3 @t52)) % 179.76/180.10 (define @t54 () (exists @t4 @t53)) % 179.76/180.10 (define @t55 () (lambda @t9 @t54)) % 179.76/180.10 (define @t56 () (lambda @t40 (_ tptp.descr @t39))) % 179.76/180.10 (define @t57 () (@var "BOUND_VARIABLE_7902" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 179.76/180.10 (define @t58 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 179.76/180.10 (define @t59 () (_ @t58 @t57 @t13)) % 179.76/180.10 (define @t60 () (@const 1 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 179.76/180.10 (define @t61 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 179.76/180.10 (define @t62 () (_ @t61 @t60 @t13)) % 179.76/180.10 (define @t63 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 179.76/180.10 (define @t64 () (not (_ @t63 @t62 @t16))) % 179.76/180.10 (define @t65 () (not (forall @t33 (or @t64 (not (= @t1 @t59)))))) % 179.76/180.10 (define @t66 () (@const 4 (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted Bool)))) % 179.76/180.10 (define @t67 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted Bool))))) % 179.76/180.10 (define @t68 () (@const 6 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted Bool)) (@ho-elim-sort (-> $$unsorted $$unsorted)) (@ho-elim-sort (-> $$unsorted Bool))))) % 179.76/180.10 (define @t69 () (@const 7 (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)))) % 179.76/180.10 (define @t70 () (@const 8 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))) % 179.76/180.10 (define @t71 () (_ @t63 (_ @t61 @t60 @t1) (_ @t70 @t69 (_ @t68 (_ @t67 @t66 @t16) @t57)))) % 179.76/180.10 (define @t72 () (@list @t16 @t57 @t1)) % 179.76/180.10 (define @t73 () (forall @t72 (= @t65 @t71))) % 179.76/180.10 (define @t74 () (@var "BOUND_VARIABLE_7677" $$unsorted)) % 179.76/180.10 (define @t75 () (_ @t58 @t57 @t74)) % 179.76/180.10 (define @t76 () (@var "BOUND_VARIABLE_7701" $$unsorted)) % 179.76/180.10 (define @t77 () (_ @t61 @t60 @t74)) % 179.76/180.10 (define @t78 () (not (_ @t63 @t77 @t16))) % 179.76/180.10 (define @t79 () (@list @t74)) % 179.76/180.10 (define @t80 () (_ @t61 @t60 @t76)) % 179.76/180.10 (define @t81 () (_ @t63 @t80 @t13)) % 179.76/180.10 (define @t82 () (not (= @t75 @t76))) % 179.76/180.10 (define @t83 () (or @t78 @t82)) % 179.76/180.10 (define @t84 () (forall @t79 @t83)) % 179.76/180.10 (define @t85 () (not @t84)) % 179.76/180.10 (define @t86 () (@list @t76)) % 179.76/180.10 (define @t87 () (forall @t86 (= @t81 @t85))) % 179.76/180.10 (define @t88 () (not @t87)) % 179.76/180.10 (define @t89 () (or @t88 @t20)) % 179.76/180.10 (define @t90 () (forall @t33 @t89)) % 179.76/180.10 (define @t91 () (not @t90)) % 179.76/180.10 (define @t92 () (@var "BOUND_VARIABLE_7652" $$unsorted)) % 179.76/180.10 (define @t93 () (_ @t61 @t60 @t92)) % 179.76/180.10 (define @t94 () (_ @t63 @t93 @t1)) % 179.76/180.10 (define @t95 () (not (= @t59 @t92))) % 179.76/180.10 (define @t96 () (or @t64 @t95)) % 179.76/180.10 (define @t97 () (forall @t33 @t96)) % 179.76/180.10 (define @t98 () (not @t97)) % 179.76/180.10 (define @t99 () (@list @t92)) % 179.76/180.10 (define @t100 () (forall @t99 (= @t94 @t98))) % 179.76/180.10 (define @t101 () (not @t100)) % 179.76/180.10 (define @t102 () (or @t101 @t91)) % 179.76/180.10 (define @t103 () (forall @t4 @t102)) % 179.76/180.10 (define @t104 () (not @t103)) % 179.76/180.10 (define @t105 () (forall (@list @t16 @t57) @t104)) % 179.76/180.10 (define @t106 () (=> @t105 @t73)) % 179.76/180.10 (define @t107 () (@var "BOUND_VARIABLE_7579" $$unsorted)) % 179.76/180.10 (define @t108 () (= @t13 @t107)) % 179.76/180.10 (define @t109 () (@var "BOUND_VARIABLE_7983" (@ho-elim-sort (-> $$unsorted Bool)))) % 179.76/180.10 (define @t110 () (forall (@list @t109 @t107) (or (_ @t63 @t109 (_ @t70 @t69 @t109)) (not (_ @t63 @t109 @t107)) (not (forall @t33 (or (not (_ @t63 @t109 @t13)) @t108)))))) % 179.76/180.10 (define @t111 () (=> @t110 @t106)) % 179.76/180.10 (define @t112 () (not @t111)) % 179.76/180.10 (define @t113 () (@const 9 (-> $$unsorted (-> $$unsorted $$unsorted) $$unsorted Bool))) % 179.76/180.10 (define @t114 () (_ @t28 @t13)) % 179.76/180.10 (define @t115 () (tptp.in @t13 @t16)) % 179.76/180.10 (define @t116 () (not @t115)) % 179.76/180.10 (define @t117 () (forall @t33 (or @t116 (not (= @t1 @t114))))) % 179.76/180.10 (define @t118 () (not @t117)) % 179.76/180.10 (define @t119 () (_ @t28 @t74)) % 179.76/180.10 (define @t120 () (not (tptp.in @t74 @t16))) % 179.76/180.10 (define @t121 () (tptp.in @t76 @t13)) % 179.76/180.10 (define @t122 () (tptp.in @t92 @t1)) % 179.76/180.10 (define @t123 () (not (forall @t99 (= @t122 (not (forall @t33 (or @t116 (not (= @t114 @t92))))))))) % 179.76/180.10 (define @t124 () (forall @t40 (not (forall @t4 (or @t123 (not (forall @t33 (or (not (forall @t86 (= @t121 (not (forall @t79 (or @t120 (not (= @t119 @t76)))))))) @t20)))))))) % 179.76/180.10 (define @t125 () (_ @t2 @t13)) % 179.76/180.10 (define @t126 () (not @t125)) % 179.76/180.10 (define @t127 () (not (_ @t2 @t107))) % 179.76/180.10 (define @t128 () (_ @t2 (tptp.descr @t2))) % 179.76/180.10 (define @t129 () (@list @t2 @t107)) % 179.76/180.10 (define @t130 () (forall @t129 (or @t128 @t127 (not (forall @t33 (or @t126 @t108)))))) % 179.76/180.10 (define @t131 () (not (=> @t130 (=> @t124 (forall @t45 (= @t118 (tptp.in @t1 (tptp.descr (_ (_ @t113 @t16) @t28))))))))) % 179.76/180.10 (define @t132 () (@var "BOUND_VARIABLE_7767" $$unsorted)) % 179.76/180.10 (define @t133 () (= @t114 @t132)) % 179.76/180.10 (define @t134 () (not @t133)) % 179.76/180.10 (define @t135 () (or @t116 @t134)) % 179.76/180.10 (define @t136 () (forall @t33 @t135)) % 179.76/180.10 (define @t137 () (not @t136)) % 179.76/180.10 (define @t138 () (tptp.in @t132 @t12)) % 179.76/180.10 (define @t139 () (= @t138 @t137)) % 179.76/180.10 (define @t140 () (@list @t132)) % 179.76/180.10 (define @t141 () (forall @t140 @t139)) % 179.76/180.10 (define @t142 () (lambda @t38 @t141)) % 179.76/180.10 (define @t143 () (tptp.descr @t142)) % 179.76/180.10 (define @t144 () (tptp.in @t1 @t143)) % 179.76/180.10 (define @t145 () (forall @t45 (= @t118 @t144))) % 179.76/180.10 (define @t146 () (=> @t124 @t145)) % 179.76/180.10 (define @t147 () (=> @t130 (=> true @t146))) % 179.76/180.10 (define @t148 () (not (= @t76 @t119))) % 179.76/180.10 (define @t149 () (or @t120 @t148)) % 179.76/180.10 (define @t150 () (forall @t79 @t149)) % 179.76/180.10 (define @t151 () (not @t150)) % 179.76/180.10 (define @t152 () (forall @t86 (= @t151 @t121))) % 179.76/180.10 (define @t153 () (not @t152)) % 179.76/180.10 (define @t154 () (or @t153 @t20)) % 179.76/180.10 (define @t155 () (forall @t33 @t154)) % 179.76/180.10 (define @t156 () (not @t155)) % 179.76/180.10 (define @t157 () (or @t123 @t156)) % 179.76/180.10 (define @t158 () (not (forall @t79 (or @t120 (not (= @t1 @t119)))))) % 179.76/180.10 (define @t159 () (forall @t4 (= @t158 (tptp.in @t1 @t13)))) % 179.76/180.10 (define @t160 () (@list @t1)) % 179.76/180.10 (define @t161 () (not @t159)) % 179.76/180.10 (define @t162 () (or @t161 @t20)) % 179.76/180.10 (define @t163 () (forall @t33 @t162)) % 179.76/180.10 (define @t164 () (not @t163)) % 179.76/180.10 (define @t165 () (or @t123 @t164)) % 179.76/180.10 (define @t166 () (tptp.in @t1 @t12)) % 179.76/180.10 (define @t167 () (@list @t13)) % 179.76/180.10 (define @t168 () (= @t118 @t166)) % 179.76/180.10 (define @t169 () (forall @t4 @t168)) % 179.76/180.10 (define @t170 () (lambda @t38 @t169)) % 179.76/180.10 (define @t171 () (not (_ @t170 @t13))) % 179.76/180.10 (define @t172 () (or @t171 @t20)) % 179.76/180.10 (define @t173 () (forall @t33 @t172)) % 179.76/180.10 (define @t174 () (not @t173)) % 179.76/180.10 (define @t175 () (not (= @t92 @t114))) % 179.76/180.10 (define @t176 () (or @t116 @t175)) % 179.76/180.10 (define @t177 () (forall @t33 @t176)) % 179.76/180.10 (define @t178 () (not @t177)) % 179.76/180.10 (define @t179 () (forall @t99 (= @t178 @t122))) % 179.76/180.10 (define @t180 () (not (_ @t170 @t1))) % 179.76/180.10 (define @t181 () (or @t180 @t174)) % 179.76/180.10 (define @t182 () (forall @t4 @t181)) % 179.76/180.10 (define @t183 () (not @t182)) % 179.76/180.10 (define @t184 () (forall @t33 (or @t126 @t20))) % 179.76/180.10 (define @t185 () (not @t184)) % 179.76/180.10 (define @t186 () (_ @t2 @t1)) % 179.76/180.10 (define @t187 () (forall @t4 (or (not @t186) @t185))) % 179.76/180.10 (define @t188 () (not @t187)) % 179.76/180.10 (define @t189 () (lambda @t9 @t188)) % 179.76/180.10 (define @t190 () (= @t35 @t118)) % 179.76/180.10 (define @t191 () (not @t30)) % 179.76/180.10 (define @t192 () (not @t31)) % 179.76/180.10 (define @t193 () (or @t192 @t191)) % 179.76/180.10 (define @t194 () (forall @t33 (not @t32))) % 179.76/180.10 (define @t195 () (not @t194)) % 179.76/180.10 (define @t196 () (forall @t40 (_ @t189 @t39))) % 179.76/180.10 (define @t197 () (not @t3)) % 179.76/180.10 (define @t198 () (or @t197 @t185)) % 179.76/180.10 (define @t199 () (and @t3 @t184)) % 179.76/180.10 (define @t200 () (forall @t4 (not @t199))) % 179.76/180.10 (define @t201 () (not @t200)) % 179.76/180.10 (define @t202 () (not @t51)) % 179.76/180.10 (define @t203 () (or @t202 @t20)) % 179.76/180.10 (define @t204 () (=> tptp.image1Ex1 @t145)) % 179.76/180.10 (define @t205 () (@var "BOUND_VARIABLE_7620" $$unsorted)) % 179.76/180.10 (define @t206 () (@list @t12 @t205)) % 179.76/180.10 (define @t207 () (tptp.in @t205 @t12)) % 179.76/180.10 (define @t208 () (not (= @t12 @t12))) % 179.76/180.10 (define @t209 () (or @t208 (= @t207 @t207))) % 179.76/180.10 (define @t210 () (= (tptp.in @t205 @t16) @t207)) % 179.76/180.10 (define @t211 () (not @t23)) % 179.76/180.10 (define @t212 () (or @t211 @t211 @t210)) % 179.76/180.10 (define @t213 () (@list @t16)) % 179.76/180.10 (define @t214 () (or @t211 @t210)) % 179.76/180.10 (define @t215 () (forall @t213 @t214)) % 179.76/180.10 (define @t216 () (forall @t206 @t215)) % 179.76/180.10 (define @t217 () (forall (@list @t12 @t205 @t16) @t214)) % 179.76/180.10 (define @t218 () (forall (@list @t16 @t12 @t205) @t214)) % 179.76/180.10 (define @t219 () (@list @t205)) % 179.76/180.10 (define @t220 () (forall @t219 @t214)) % 179.76/180.10 (define @t221 () (forall @t219 @t210)) % 179.76/180.10 (define @t222 () (or @t211 @t221)) % 179.76/180.10 (define @t223 () (tptp.in @t13 @t12)) % 179.76/180.10 (define @t224 () (= @t115 @t223)) % 179.76/180.10 (define @t225 () (forall @t33 @t224)) % 179.76/180.10 (define @t226 () (not (= @t13 @t13))) % 179.76/180.10 (define @t227 () (or @t226 @t224)) % 179.76/180.10 (define @t228 () (tptp.in @t1 @t16)) % 179.76/180.10 (define @t229 () (= @t228 @t223)) % 179.76/180.10 (define @t230 () (not @t20)) % 179.76/180.10 (define @t231 () (or @t230 @t230 @t229)) % 179.76/180.10 (define @t232 () (or @t230 @t229)) % 179.76/180.10 (define @t233 () (forall @t4 @t232)) % 179.76/180.10 (define @t234 () (forall @t33 @t233)) % 179.76/180.10 (define @t235 () (forall (@list @t13 @t1) @t232)) % 179.76/180.10 (define @t236 () (or @t230 @t19)) % 179.76/180.10 (define @t237 () (=> tptp.in__Cong @t204)) % 179.76/180.10 (define @t238 () (or @t126 (= @t107 @t13))) % 179.76/180.10 (define @t239 () (forall @t33 @t238)) % 179.76/180.10 (define @t240 () (not @t239)) % 179.76/180.10 (define @t241 () (or @t128 @t127 @t240)) % 179.76/180.10 (define @t242 () (or @t127 @t240)) % 179.76/180.10 (define @t243 () (or @t242 @t128)) % 179.76/180.10 (define @t244 () (forall @t129 @t243)) % 179.76/180.10 (define @t245 () (@list @t107)) % 179.76/180.10 (define @t246 () (forall @t245 @t243)) % 179.76/180.10 (define @t247 () (forall @t245 @t242)) % 179.76/180.10 (define @t248 () (or @t247 @t128)) % 179.76/180.10 (define @t249 () (lambda @t4 @t186)) % 179.76/180.10 (define @t250 () (tptp.descr @t249)) % 179.76/180.10 (define @t251 () (_ @t2 @t250)) % 179.76/180.10 (define @t252 () (or @t187 @t251)) % 179.76/180.10 (define @t253 () (or @t187 @t7)) % 179.76/180.10 (define @t254 () (_ @t5 @t13)) % 179.76/180.10 (define @t255 () (not @t254)) % 179.76/180.10 (define @t256 () (or @t255 @t20)) % 179.76/180.10 (define @t257 () (forall @t33 @t256)) % 179.76/180.10 (define @t258 () (not @t257)) % 179.76/180.10 (define @t259 () (_ @t5 @t1)) % 179.76/180.10 (define @t260 () (not @t259)) % 179.76/180.10 (define @t261 () (or @t260 @t258)) % 179.76/180.10 (define @t262 () (forall @t4 @t261)) % 179.76/180.10 (define @t263 () (not @t262)) % 179.76/180.10 (define @t264 () (_ @t189 @t5)) % 179.76/180.10 (define @t265 () (=> @t264 @t7)) % 179.76/180.10 (define @t266 () (forall @t9 @t265)) % 179.76/180.10 (define @t267 () (=> tptp.descrp @t237)) % 179.76/180.10 (define @t268 () (lambda @t38 (forall @t140 (= (_ (_ tptp.in @t132) @t12) (not (forall @t33 (or @t192 (not (= @t29 @t132))))))))) % 179.76/180.10 (define @t269 () (_ tptp.descr @t268)) % 179.76/180.10 (define @t270 () (_ tptp.descr @t142)) % 179.76/180.10 (define @t271 () (= @t118 (_ @t17 @t270))) % 179.76/180.10 (define @t272 () (not (= @t132 @t114))) % 179.76/180.10 (define @t273 () (or @t116 @t272)) % 179.76/180.10 (define @t274 () (forall @t33 @t273)) % 179.76/180.10 (define @t275 () (not @t274)) % 179.76/180.10 (define @t276 () (forall @t140 (= @t275 @t138))) % 179.76/180.10 (define @t277 () (lambda @t38 @t276)) % 179.76/180.10 (define @t278 () (= @t118 (_ @t17 (_ tptp.descr @t277)))) % 179.76/180.10 (define @t279 () (_ tptp.descr @t170)) % 179.76/180.10 (define @t280 () (= @t118 (_ @t17 @t279))) % 179.76/180.10 (define @t281 () (or @t116 @t191)) % 179.76/180.10 (define @t282 () (_ @t43 @t13)) % 179.76/180.10 (define @t283 () (= @t1 @t282)) % 179.76/180.10 (define @t284 () (not @t283)) % 179.76/180.10 (define @t285 () (or @t116 @t284)) % 179.76/180.10 (define @t286 () (forall @t33 @t285)) % 179.76/180.10 (define @t287 () (not @t286)) % 179.76/180.10 (define @t288 () (forall @t4 (= @t287 @t166))) % 179.76/180.10 (define @t289 () (lambda @t38 @t288)) % 179.76/180.10 (define @t290 () (lambda (@list @t28) @t279)) % 179.76/180.10 (define @t291 () (_ (lambda @t40 @t279) @t16)) % 179.76/180.10 (define @t292 () (_ @t17 (_ @t291 @t43))) % 179.76/180.10 (define @t293 () (forall @t45 (= @t292 @t34))) % 179.76/180.10 (define @t294 () (=> tptp.image1Ex1 @t293)) % 179.76/180.10 (define @t295 () (=> tptp.in__Cong @t294)) % 179.76/180.10 (define @t296 () (=> tptp.descrp @t295)) % 179.76/180.10 (define @t297 () (forall @t72 (= @t71 @t65))) % 179.76/180.10 (define @t298 () (@quantifiers_skolemize @t297 1)) % 179.76/180.10 (define @t299 () (@quantifiers_skolemize @t297 0)) % 179.76/180.10 (define @t300 () (not (forall @t79 (or (not (_ @t63 @t77 @t299)) (not (= @t76 (_ @t58 @t298 @t74))))))) % 179.76/180.10 (define @t301 () (not (forall @t86 (= @t81 @t300)))) % 179.76/180.10 (define @t302 () (_ @t58 @t298 @t13)) % 179.76/180.10 (define @t303 () (not (_ @t63 @t62 @t299))) % 179.76/180.10 (define @t304 () (not (forall @t33 (or @t303 (not (= @t92 @t302)))))) % 179.76/180.10 (define @t305 () (forall @t4 (or (not (forall @t99 (= @t94 @t304))) (not (forall @t33 (or @t301 @t20)))))) % 179.76/180.10 (define @t306 () (@quantifiers_skolemize @t305 0)) % 179.76/180.10 (define @t307 () (= @t13 @t306)) % 179.76/180.10 (define @t308 () (forall @t33 (or @t301 @t307))) % 179.76/180.10 (define @t309 () (not @t308)) % 179.76/180.10 (define @t310 () (_ @t63 @t93 @t306)) % 179.76/180.10 (define @t311 () (forall @t99 (= @t304 @t310))) % 179.76/180.10 (define @t312 () (not @t311)) % 179.76/180.10 (define @t313 () (or @t312 @t309)) % 179.76/180.10 (define @t314 () (not @t313)) % 179.76/180.10 (define @t315 () (not @t305)) % 179.76/180.10 (define @t316 () (or @t301 (= @t306 @t13))) % 179.76/180.10 (define @t317 () (forall @t33 @t316)) % 179.76/180.10 (define @t318 () (not @t317)) % 179.76/180.10 (define @t319 () (forall @t99 (= @t310 @t304))) % 179.76/180.10 (define @t320 () (not @t319)) % 179.76/180.10 (define @t321 () (or @t320 @t318)) % 179.76/180.10 (define @t322 () (not @t321)) % 179.76/180.10 (define @t323 () (@list true)) % 179.76/180.10 (define @t324 () (@list @t313)) % 179.76/180.10 (define @t325 () (_ @t68 (_ @t67 @t66 @t299) @t298)) % 179.76/180.10 (define @t326 () (_ @t70 @t69 @t325)) % 179.76/180.10 (define @t327 () (= @t326 @t306)) % 179.76/180.10 (define @t328 () (_ @t63 @t80 @t326)) % 179.76/180.10 (define @t329 () (forall @t86 (= @t328 @t300))) % 179.76/180.10 (define @t330 () (not @t329)) % 179.76/180.10 (define @t331 () (or @t330 @t327)) % 179.76/180.10 (define @t332 () (forall @t86 (= @t300 @t328))) % 179.76/180.10 (define @t333 () (not @t332)) % 179.76/180.10 (define @t334 () (or @t333 @t327)) % 179.76/180.10 (define @t335 () (@list false)) % 179.76/180.10 (define @t336 () (@list @t308)) % 179.76/180.10 (define @t337 () (@var "BOUND_VARIABLE_7871" $$unsorted)) % 179.76/180.10 (define @t338 () (_ @t61 @t60 @t132)) % 179.76/180.10 (define @t339 () (_ @t63 @t338 @t337)) % 179.76/180.10 (define @t340 () (@var "BOUND_VARIABLE_8047" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 179.76/180.10 (define @t341 () (@var "BOUND_VARIABLE_7869" $$unsorted)) % 179.76/180.10 (define @t342 () (not (forall @t33 (or (not (_ @t63 @t62 @t341)) (not (= @t132 (_ @t58 @t340 @t13))))))) % 179.76/180.10 (define @t343 () (_ @t63 (_ @t68 (_ @t67 @t66 @t341) @t340) @t337)) % 179.76/180.10 (define @t344 () (forall @t140 (= @t339 @t342))) % 179.76/180.10 (define @t345 () (forall (@list @t341 @t340 @t337) (= @t343 @t344))) % 179.76/180.10 (define @t346 () (@var "BOUND_VARIABLE_7870" (-> $$unsorted $$unsorted))) % 179.76/180.10 (define @t347 () (forall (@list @t341 @t346 @t337) (= (_ @t113 @t341 @t346 @t337) (forall @t140 (= (tptp.in @t132 @t337) (not (forall @t33 (or (not (tptp.in @t13 @t341)) (not (= @t132 (_ @t346 @t13))))))))))) % 179.76/180.10 (define @t348 () (forall @t33 (or (not (_ @t63 @t325 @t13)) @t307))) % 179.76/180.10 (define @t349 () (@quantifiers_skolemize @t348 0)) % 179.76/180.10 (define @t350 () (_ @t63 @t325 @t349)) % 179.76/180.10 (define @t351 () (= @t306 @t349)) % 179.76/180.10 (define @t352 () (not @t350)) % 179.76/180.10 (define @t353 () (or @t352 @t351)) % 179.76/180.10 (define @t354 () (not (forall @t33 (or @t303 (not (= @t132 @t302)))))) % 179.76/180.10 (define @t355 () (forall @t140 (= @t354 (_ @t63 @t338 @t349)))) % 179.76/180.10 (define @t356 () (= @t350 @t355)) % 179.76/180.10 (define @t357 () (_ @t63 @t80 @t349)) % 179.76/180.10 (define @t358 () (forall @t86 (= @t357 @t300))) % 179.76/180.10 (define @t359 () (not @t358)) % 179.76/180.10 (define @t360 () (= @t349 @t306)) % 179.76/180.10 (define @t361 () (or @t359 @t360)) % 179.76/180.10 (define @t362 () (forall @t86 (= @t300 @t357))) % 179.76/180.10 (define @t363 () (not @t362)) % 179.76/180.10 (define @t364 () (or @t363 @t351)) % 179.76/180.10 (define @t365 () (@list @t74 @t76)) % 179.76/180.10 (define @t366 () (@list @t13 @t132)) % 179.76/180.10 (define @t367 () (not @t353)) % 179.76/180.10 (define @t368 () (not @t348)) % 179.76/180.10 (define @t369 () (or @t352 @t360)) % 179.76/180.10 (define @t370 () (not @t369)) % 179.76/180.10 (define @t371 () (@var "BOUND_VARIABLE_14415" $$unsorted)) % 179.76/180.10 (define @t372 () (@var "BOUND_VARIABLE_14414" $$unsorted)) % 179.76/180.10 (define @t373 () (@list @t372 @t371)) % 179.76/180.10 (define @t374 () (forall @t140 (= @t354 (_ @t63 @t338 @t306)))) % 179.76/180.10 (define @t375 () (_ @t63 @t325 @t306)) % 179.76/180.10 (define @t376 () (= @t375 @t374)) % 179.76/180.10 (define @t377 () (@list false false)) % 179.76/180.10 (define @t378 () (not @t375)) % 179.76/180.10 (define @t379 () (_ @t63 @t325 @t326)) % 179.76/180.10 (define @t380 () (or @t379 @t378 @t368)) % 179.76/180.10 (define @t381 () (forall @t140 (= @t354 (_ @t63 @t338 @t326)))) % 179.76/180.10 (define @t382 () (= @t379 @t381)) % 179.76/180.10 (define @t383 () (@quantifiers_skolemize @t297 2)) % 179.76/180.10 (define @t384 () (forall @t33 (or @t303 (not (= @t383 @t302))))) % 179.76/180.10 (define @t385 () (_ @t61 @t60 @t383)) % 179.76/180.10 (define @t386 () (_ @t63 @t385 @t326)) % 179.76/180.10 (define @t387 () (not @t386)) % 179.76/180.10 (define @t388 () (not @t384)) % 179.76/180.10 (define @t389 () (= @t386 @t388)) % 179.76/180.10 (define @t390 () (not @t388)) % 179.76/180.10 (define @t391 () (_ @t63 @t385 @t306)) % 179.76/180.10 (define @t392 () (= @t388 @t391)) % 179.76/180.10 (define @t393 () (not @t392)) % 179.76/180.10 (define @t394 () (not @t391)) % 179.76/180.10 (define @t395 () (and @t386 @t327)) % 179.76/180.10 (define @t396 () (not @t327)) % 179.76/180.10 (define @t397 () (and @t387 @t327)) % 179.76/180.10 (assume @p1 @t11) % 179.76/180.10 (assume @p2 @t27) % 179.76/180.10 (assume @p3 @t42) % 179.76/180.10 (assume @p4 @t50) % 179.76/180.10 (assume @p5 true) % 179.76/180.10 (step @p6 (= tptp.exu @t55) :rule refl :args (@t55)) % 179.76/180.10 (step @p7 (= tptp.image1 @t56) :rule refl :args (@t56)) % 179.76/180.10 (step @p8 :rule eq-symm :args (@t65 @t71)) % 179.76/180.10 (step @p9 :rule cong :premises (@p8) :args (@t73)) % 179.76/180.10 (step @p10 :rule refl :args (@t20)) % 179.76/180.10 (step @p11 :rule eq-symm :args ((not (forall @t79 (or @t78 (not (= @t76 @t75))))) @t81)) % 179.76/180.10 (step @p12 :rule refl :args (@t81)) % 179.76/180.10 (step @p13 :rule eq-symm :args (@t75 @t76)) % 179.76/180.10 (step @p14 :rule cong :premises (@p13) :args (@t82)) % 179.76/180.10 (step @p15 :rule refl :args (@t78)) % 179.76/180.10 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t83)) % 179.76/180.10 (step @p17 :rule cong :premises (@p16) :args (@t84)) % 179.76/180.10 (step @p18 :rule cong :premises (@p17) :args (@t85)) % 179.76/180.10 (step @p19 :rule cong :premises (@p18 @p12) :args ((= @t85 @t81))) % 179.76/180.10 (step @p20 :rule trans :premises (@p19 @p11)) % 179.76/180.10 (step @p21 :rule eq-symm :args (@t81 @t85)) % 179.76/180.10 (step @p22 :rule trans :premises (@p21 @p20)) % 179.76/180.10 (step @p23 :rule cong :premises (@p22) :args (@t87)) % 179.76/180.10 (step @p24 :rule cong :premises (@p23) :args (@t88)) % 179.76/180.10 (step @p25 :rule nary_cong :premises (@p24 @p10) :args (@t89)) % 179.76/180.10 (step @p26 :rule cong :premises (@p25) :args (@t90)) % 179.76/180.10 (step @p27 :rule cong :premises (@p26) :args (@t91)) % 179.76/180.10 (step @p28 :rule eq-symm :args ((not (forall @t33 (or @t64 (not (= @t92 @t59))))) @t94)) % 179.76/180.10 (step @p29 :rule refl :args (@t94)) % 179.76/180.10 (step @p30 :rule eq-symm :args (@t59 @t92)) % 179.76/180.10 (step @p31 :rule cong :premises (@p30) :args (@t95)) % 179.76/180.10 (step @p32 :rule refl :args (@t64)) % 179.76/180.10 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t96)) % 179.76/180.10 (step @p34 :rule cong :premises (@p33) :args (@t97)) % 179.76/180.10 (step @p35 :rule cong :premises (@p34) :args (@t98)) % 179.76/180.10 (step @p36 :rule cong :premises (@p35 @p29) :args ((= @t98 @t94))) % 179.76/180.10 (step @p37 :rule trans :premises (@p36 @p28)) % 179.76/180.10 (step @p38 :rule eq-symm :args (@t94 @t98)) % 179.76/180.10 (step @p39 :rule trans :premises (@p38 @p37)) % 179.76/180.10 (step @p40 :rule cong :premises (@p39) :args (@t100)) % 179.76/180.10 (step @p41 :rule cong :premises (@p40) :args (@t101)) % 179.76/180.10 (step @p42 :rule nary_cong :premises (@p41 @p27) :args (@t102)) % 179.76/180.10 (step @p43 :rule cong :premises (@p42) :args (@t103)) % 179.76/180.10 (step @p44 :rule cong :premises (@p43) :args (@t104)) % 179.76/180.10 (step @p45 :rule cong :premises (@p44) :args (@t105)) % 179.76/180.10 (step @p46 :rule cong :premises (@p45 @p9) :args (@t106)) % 179.76/180.10 (step @p47 :rule refl :args (@t110)) % 179.76/180.10 (step @p48 :rule cong :premises (@p47 @p46) :args (@t111)) % 179.76/180.10 (step @p49 :rule cong :premises (@p48) :args (@t112)) % 179.76/180.10 ; WARNING: add trust step for TRUST % 179.76/180.10 ; trust TRUST PREPROCESS_HO_ELIM % 179.76/180.10 (step @p50 :rule trust :premises () :args ((= @t131 @t112))) % 179.76/180.10 ; trust TRUST PREPROCESS_HO_ELIM % 179.76/180.10 (step @p51 :rule trust :premises () :args ((= (not (=> @t130 @t146)) @t131))) % 179.76/180.10 (step @p52 :rule bool-impl-true2 :args (@t146)) % 179.76/180.10 (step @p53 :rule refl :args (@t130)) % 179.76/180.10 (step @p54 :rule cong :premises (@p53 @p52) :args (@t147)) % 179.76/180.10 (step @p55 :rule cong :premises (@p54) :args ((not @t147))) % 179.76/180.10 (step @p56 :rule refl :args (@t145)) % 179.76/180.10 (step @p57 :rule eq-symm :args (@t76 @t119)) % 179.76/180.10 (step @p58 :rule cong :premises (@p57) :args (@t148)) % 179.76/180.10 (step @p59 :rule refl :args (@t120)) % 179.76/180.10 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t149)) % 179.76/180.10 (step @p61 :rule cong :premises (@p60) :args (@t150)) % 179.76/180.10 (step @p62 :rule cong :premises (@p61) :args (@t151)) % 179.76/180.10 (step @p63 :rule refl :args (@t121)) % 179.76/180.10 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t121 @t151))) % 179.76/180.10 (step @p65 :rule eq-symm :args (@t151 @t121)) % 179.76/180.10 (step @p66 :rule trans :premises (@p65 @p64)) % 179.76/180.10 (step @p67 :rule cong :premises (@p66) :args (@t152)) % 179.76/180.10 (step @p68 :rule cong :premises (@p67) :args (@t153)) % 179.76/180.10 (step @p69 :rule nary_cong :premises (@p68 @p10) :args (@t154)) % 179.76/180.10 (step @p70 :rule cong :premises (@p69) :args (@t155)) % 179.76/180.10 (step @p71 :rule cong :premises (@p70) :args (@t156)) % 179.76/180.10 (step @p72 :rule refl :args (@t123)) % 179.76/180.10 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t157)) % 179.76/180.10 (step @p74 :rule cong :premises (@p73) :args ((forall @t4 @t157))) % 179.76/180.10 (step @p75 :rule refl :args (@t20)) % 179.76/180.10 (step @p76 :rule alpha_equiv :args (@t159 @t160 (@list @t76))) % 179.76/180.10 (step @p77 :rule cong :premises (@p76) :args (@t161)) % 179.76/180.10 (step @p78 :rule nary_cong :premises (@p77 @p75) :args (@t162)) % 179.76/180.10 (step @p79 :rule cong :premises (@p78) :args (@t163)) % 179.76/180.10 (step @p80 :rule cong :premises (@p79) :args (@t164)) % 179.76/180.10 (step @p81 :rule refl :args (@t123)) % 179.76/180.10 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t165)) % 179.76/180.10 (step @p83 :rule cong :premises (@p82) :args ((forall @t4 @t165))) % 179.76/180.10 (step @p84 :rule trans :premises (@p83 @p74)) % 179.76/180.10 (step @p85 :rule beta-reduce :args ((= (_ (lambda @t38 (forall @t4 (= @t158 @t166))) @t13) @t159))) % 179.76/180.10 (step @p86 :rule refl :args (@t13)) % 179.76/180.10 (step @p87 :rule refl :args (@t166)) % 179.76/180.10 (step @p88 :rule alpha_equiv :args (@t117 @t167 (@list @t74))) % 179.76/180.10 (step @p89 :rule cong :premises (@p88) :args (@t118)) % 179.76/180.10 (step @p90 :rule cong :premises (@p89 @p87) :args (@t168)) % 179.76/180.10 (step @p91 :rule cong :premises (@p90) :args (@t169)) % 179.76/180.10 (step @p92 :rule cong :premises (@p91) :args (@t170)) % 179.76/180.10 (step @p93 :rule ho_cong :premises (@p92 @p86)) % 179.76/180.10 (step @p94 :rule trans :premises (@p93 @p85)) % 179.76/180.10 (step @p95 :rule cong :premises (@p94) :args (@t171)) % 179.76/180.10 (step @p96 :rule nary_cong :premises (@p95 @p10) :args (@t172)) % 179.76/180.10 (step @p97 :rule cong :premises (@p96) :args (@t173)) % 179.76/180.10 (step @p98 :rule cong :premises (@p97) :args (@t174)) % 179.76/180.10 (step @p99 :rule eq-symm :args (@t92 @t114)) % 179.76/180.10 (step @p100 :rule cong :premises (@p99) 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trans :premises (@p342 @p315)) % 179.76/180.10 (step @p344 :rule bool-double-not-elim :args (@t187)) % 179.76/180.10 (step @p345 :rule nary_cong :premises (@p344 @p327) :args ((or (not @t188) @t7))) % 179.76/180.10 (step @p346 :rule bool-impl-elim :args (@t188 @t7)) % 179.76/180.10 (step @p347 :rule trans :premises (@p346 @p345)) % 179.76/180.10 (step @p348 :rule cong :premises (@p347) :args ((forall @t9 (=> @t188 @t7)))) % 179.76/180.10 (step @p349 :rule trans :premises (@p348 @p343)) % 179.76/180.10 (step @p350 :rule refl :args (@t7)) % 179.76/180.10 (step @p351 :rule beta-reduce :args ((= @t254 @t51))) % 179.76/180.10 (step @p352 :rule cong :premises (@p351) :args (@t255)) % 179.76/180.10 (step @p353 :rule nary_cong :premises (@p352 @p10) :args (@t256)) % 179.76/180.10 (step @p354 :rule cong :premises (@p353) :args (@t257)) % 179.76/180.10 (step @p355 :rule trans :premises (@p354 @p190)) % 179.76/180.10 (step @p356 :rule cong :premises (@p355) :args (@t258)) % 179.76/180.10 (step @p357 :rule beta-reduce :args ((= @t259 @t3))) % 179.76/180.10 (step @p358 :rule cong :premises (@p357) :args (@t260)) % 179.76/180.10 (step @p359 :rule nary_cong :premises (@p358 @p356) :args (@t261)) % 179.76/180.10 (step @p360 :rule cong :premises (@p359) :args (@t262)) % 179.76/180.10 (step @p361 :rule trans :premises (@p360 @p176)) % 179.76/180.10 (step @p362 :rule cong :premises (@p361) :args (@t263)) % 179.76/180.10 (step @p363 :rule beta-reduce :args ((= @t264 @t263))) % 179.76/180.10 (step @p364 :rule trans :premises (@p363 @p362)) % 179.76/180.10 (step @p365 :rule cong :premises (@p364 @p350) :args (@t265)) % 179.76/180.10 (step @p366 :rule cong :premises (@p365) :args (@t266)) % 179.76/180.10 (step @p367 :rule trans :premises (@p366 @p349)) % 179.76/180.10 (step @p368 :rule refl :args (tptp.descrp)) % 179.76/180.10 (step @p369 :rule cong :premises (@p368 @p367) :args ((= tptp.descrp @t266))) % 179.76/180.10 (step @p370 :rule refl :args (@t5)) % 179.76/180.10 (step @p371 :rule ho_cong :premises (@p199 @p370)) % 179.76/180.10 (step @p372 :rule cong :premises (@p371 @p350) :args (@t8)) % 179.76/180.10 (step @p373 :rule cong :premises (@p372) :args (@t10)) % 179.76/180.10 (step @p374 :rule cong :premises (@p368 @p373) :args (@t11)) % 179.76/180.10 (step @p375 :rule trans :premises (@p374 @p369)) % 179.76/180.10 (step @p376 :rule eq_resolve :premises (@p1 @p375)) % 179.76/180.10 (step @p377 :rule cong :premises (@p376 @p287) :args (@t267)) % 179.76/180.10 (step @p378 :rule cong :premises (@p377) :args ((not @t267))) % 179.76/180.10 (step @p379 :rule trans :premises (@p378 @p55)) % 179.76/180.10 (step @p380 :rule refl :args ((tptp.in @t1 @t269))) % 179.76/180.10 (step @p381 :rule refl :args ((tptp.descr @t268))) % 179.76/180.10 (step @p382 :rule refl :args (@t132)) % 179.76/180.10 (step @p383 :rule cong :premises (@p135 @p382) :args (@t133)) % 179.76/180.10 (step @p384 :rule cong :premises (@p383) :args (@t134)) % 179.76/180.10 (step @p385 :rule cong :premises (@p142) :args (@t116)) % 179.76/180.10 (step @p386 :rule nary_cong :premises (@p385 @p384) :args (@t135)) % 179.76/180.10 (step @p387 :rule cong :premises (@p386) :args (@t136)) % 179.76/180.10 (step @p388 :rule cong :premises (@p387) :args (@t137)) % 179.76/180.10 (step @p389 :rule refl :args (@t138)) % 179.76/180.10 (step @p390 :rule cong :premises (@p389 @p388) :args (@t139)) % 179.76/180.10 (step @p391 :rule cong :premises (@p390) :args (@t141)) % 179.76/180.10 (step @p392 :rule cong :premises (@p391) :args (@t142)) % 179.76/180.10 (step @p393 :rule cong :premises (@p392) :args (@t143)) % 179.76/180.10 (step @p394 :rule trans :premises (@p393 @p381)) % 179.76/180.10 (step @p395 :rule cong :premises (@p112 @p394) :args (@t144)) % 179.76/180.10 (step @p396 :rule trans :premises (@p395 @p380)) % 179.76/180.10 (step @p397 :rule refl :args (@t17)) % 179.76/180.10 (step @p398 :rule ho_cong :premises (@p397 @p394)) % 179.76/180.10 (step @p399 :rule cong :premises (@p398 @p396) :args ((= (_ @t17 @t143) @t144))) % 179.76/180.10 (step @p400 :rule symm :premises (@p399)) % 179.76/180.10 (step @p401 :rule refl :args ((_ @t17 @t269))) % 179.76/180.10 (step @p402 :rule eq_resolve :premises (@p401 @p400)) % 179.76/180.10 (step @p403 :rule ho_cong :premises (@p329 @p392)) % 179.76/180.10 (step @p404 :rule cong :premises (@p403 @p394) :args ((= @t270 @t143))) % 179.76/180.10 (step @p405 :rule symm :premises (@p404)) % 179.76/180.10 (step @p406 :rule refl :args (@t269)) % 179.76/180.10 (step @p407 :rule eq_resolve :premises (@p406 @p405)) % 179.76/180.10 (step @p408 :rule ho_cong :premises (@p397 @p407)) % 179.76/180.10 (step @p409 :rule trans :premises (@p408 @p402)) % 179.76/180.10 (step @p410 :rule cong :premises (@p126 @p409) :args (@t271)) % 179.76/180.10 (step @p411 :rule cong :premises (@p410) :args ((forall @t45 @t271))) % 179.76/180.10 (step @p412 :rule eq-symm :args (@t132 @t114)) % 179.76/180.10 (step @p413 :rule cong :premises (@p412) :args (@t272)) % 179.76/180.10 (step @p414 :rule nary_cong :premises (@p101 @p413) :args (@t273)) % 179.76/180.10 (step @p415 :rule cong :premises (@p414) :args (@t274)) % 179.76/180.10 (step @p416 :rule cong :premises (@p415) :args (@t275)) % 179.76/180.10 (step @p417 :rule refl :args (@t138)) % 179.76/180.10 (step @p418 :rule cong :premises (@p417 @p416) :args ((= @t138 @t275))) % 179.76/180.10 (step @p419 :rule eq-symm :args (@t275 @t138)) % 179.76/180.10 (step @p420 :rule trans :premises (@p419 @p418)) % 179.76/180.10 (step @p421 :rule cong :premises (@p420) :args (@t276)) % 179.76/180.10 (step @p422 :rule cong :premises (@p421) :args (@t277)) % 179.76/180.10 (step @p423 :rule refl :args (tptp.descr)) % 179.76/180.10 (step @p424 :rule ho_cong :premises (@p423 @p422)) % 179.76/180.10 (step @p425 :rule refl :args (@t17)) % 179.76/180.10 (step @p426 :rule ho_cong :premises (@p425 @p424)) % 179.76/180.10 (step @p427 :rule refl :args (@t118)) % 179.76/180.10 (step @p428 :rule cong :premises (@p427 @p426) :args (@t278)) % 179.76/180.10 (step @p429 :rule cong :premises (@p428) :args ((forall @t45 @t278))) % 179.76/180.10 (step @p430 :rule trans :premises (@p429 @p411)) % 179.76/180.10 (step @p431 :rule alpha_equiv :args (@t169 @t160 (@list @t132))) % 179.76/180.10 (step @p432 :rule cong :premises (@p431) :args (@t170)) % 179.76/180.10 (step @p433 :rule ho_cong :premises (@p329 @p432)) % 179.76/180.10 (step @p434 :rule ho_cong :premises (@p397 @p433)) % 179.76/180.10 (step @p435 :rule cong :premises (@p126 @p434) :args (@t280)) % 179.76/180.10 (step @p436 :rule cong :premises (@p435) :args ((forall @t45 @t280))) % 179.76/180.10 (step @p437 :rule trans :premises (@p436 @p430)) % 179.76/180.10 (step @p438 :rule refl :args (@t116)) % 179.76/180.10 (step @p439 :rule nary_cong :premises (@p438 @p141) :args (@t281)) % 179.76/180.10 (step @p440 :rule cong :premises (@p439) :args ((forall @t33 @t281))) % 179.76/180.10 (step @p441 :rule beta-reduce :args ((= @t282 @t29))) % 179.76/180.10 (step @p442 :rule refl :args (@t1)) % 179.76/180.10 (step @p443 :rule cong :premises (@p442 @p441) :args (@t283)) % 179.76/180.10 (step @p444 :rule cong :premises (@p443) :args (@t284)) % 179.76/180.10 (step @p445 :rule nary_cong :premises (@p101 @p444) :args (@t285)) % 179.76/180.10 (step @p446 :rule cong :premises (@p445) :args (@t286)) % 179.76/180.10 (step @p447 :rule trans :premises (@p446 @p440)) % 179.76/180.10 (step @p448 :rule cong :premises (@p447) :args (@t287)) % 179.76/180.10 (step @p449 :rule refl :args (@t166)) % 179.76/180.10 (step @p450 :rule cong :premises (@p449 @p448) :args ((= @t166 @t287))) % 179.76/180.10 (step @p451 :rule trans :premises (@p450 @p124)) % 179.76/180.10 (step @p452 :rule eq-symm :args (@t287 @t166)) % 179.76/180.10 (step @p453 :rule trans :premises (@p452 @p451)) % 179.76/180.10 (step @p454 :rule cong :premises (@p453) :args (@t288)) % 179.76/180.10 (step @p455 :rule cong :premises (@p454) :args (@t289)) % 179.76/180.10 (step @p456 :rule ho_cong :premises (@p423 @p455)) % 179.76/180.10 (step @p457 :rule beta-reduce :args ((= (_ @t290 @t43) (_ tptp.descr @t289)))) % 179.76/180.10 (step @p458 :rule trans :premises (@p457 @p456)) % 179.76/180.10 (step @p459 :rule refl :args (@t43)) % 179.76/180.10 (step @p460 :rule beta-reduce :args ((= @t291 @t290))) % 179.76/180.10 (step @p461 :rule ho_cong :premises (@p460 @p459)) % 179.76/180.10 (step @p462 :rule trans :premises (@p461 @p458)) % 179.76/180.10 (step @p463 :rule ho_cong :premises (@p425 @p462)) % 179.76/180.10 (step @p464 :rule cong :premises (@p155 @p463) :args ((= @t34 @t292))) % 179.76/180.10 (step @p465 :rule eq-symm :args (@t292 @t34)) % 179.76/180.10 (step @p466 :rule trans :premises (@p465 @p464)) % 179.76/180.10 (step @p467 :rule cong :premises (@p466) :args (@t293)) % 179.76/180.10 (step @p468 :rule trans :premises (@p467 @p437)) % 179.76/180.10 (step @p469 :rule cong :premises (@p165 @p468) :args (@t294)) % 179.76/180.10 (step @p470 :rule cong :premises (@p282 @p469) :args (@t295)) % 179.76/180.10 (step @p471 :rule cong :premises (@p368 @p470) :args (@t296)) % 179.76/180.10 (step @p472 :rule cong :premises (@p471) :args ((not @t296))) % 179.76/180.10 (step @p473 :rule refl :args (@t34)) % 179.76/180.10 (step @p474 :rule refl :args (@t16)) % 179.76/180.10 (step @p475 :rule ho_cong :premises (@p423 @p160)) % 179.76/180.10 (step @p476 :rule cong :premises (@p475) :args (@t56)) % 179.76/180.10 (step @p477 :rule trans :premises (@p7 @p476)) % 179.76/180.10 (step @p478 :rule ho_cong :premises (@p477 @p474)) % 179.76/180.10 (step @p479 :rule ho_cong :premises (@p478 @p459)) % 179.76/180.10 (step @p480 :rule ho_cong :premises (@p425 @p479)) % 179.76/180.10 (step @p481 :rule cong :premises (@p480 @p473) :args (@t44)) % 179.76/180.10 (step @p482 :rule cong :premises (@p481) :args (@t46)) % 179.76/180.10 (step @p483 :rule cong :premises (@p165 @p482) :args (@t47)) % 179.76/180.10 (step @p484 :rule cong :premises (@p282 @p483) :args (@t48)) % 179.76/180.10 (step @p485 :rule cong :premises (@p368 @p484) :args (@t49)) % 179.76/180.10 (step @p486 :rule cong :premises (@p485) :args (@t50)) % 179.76/180.10 (step @p487 :rule trans :premises (@p486 @p472)) % 179.76/180.10 (step @p488 :rule trans :premises (@p487 @p379 @p51 @p50 @p49)) % 179.76/180.10 (step @p489 :rule eq_resolve :premises (@p4 @p488)) % 179.76/180.10 (step @p490 :rule not_implies_elim2 :premises (@p489)) % 179.76/180.10 (step @p491 :rule not_implies_elim1 :premises (@p490)) % 179.76/180.10 (step @p492 :rule instantiate :premises (@p491) :args ((@list @t299 @t298))) % 179.76/180.10 (step @p493 :rule refl :args (@t314)) % 179.76/180.10 (step @p494 :rule bool-double-not-elim :args (@t305)) % 179.76/180.10 (step @p495 :rule nary_cong :premises (@p494 @p493) :args ((or (not @t315) @t314))) % 179.76/180.10 (step @p496 :rule eq-symm :args (@t306 @t13)) % 179.76/180.10 (step @p497 :rule refl :args (@t301)) % 179.76/180.10 (step @p498 :rule nary_cong :premises (@p497 @p496) :args (@t316)) % 179.76/180.10 (step @p499 :rule cong :premises (@p498) :args (@t317)) % 179.76/180.10 (step @p500 :rule cong :premises (@p499) :args (@t318)) % 179.76/180.10 (step @p501 :rule eq-symm :args (@t310 @t304)) % 179.76/180.10 (step @p502 :rule cong :premises (@p501) :args (@t319)) % 179.76/180.10 (step @p503 :rule cong :premises (@p502) :args (@t320)) % 179.76/180.10 (step @p504 :rule nary_cong :premises (@p503 @p500) :args (@t321)) % 179.76/180.10 (step @p505 :rule cong :premises (@p504) :args (@t322)) % 179.76/180.10 (step @p506 :rule refl :args (@t315)) % 179.76/180.10 (step @p507 :rule cong :premises (@p506 @p505) :args ((=> @t315 @t322))) % 179.76/180.10 (assume-push @p696 @t315) % 179.76/180.10 (step @p509 :rule skolemize :premises (@p492)) % 179.76/180.10 (step-pop @p697 :rule scope :premises (@p509)) % 179.76/180.10 (step @p510 :rule process_scope :premises (@p697) :args (@t322)) % 179.76/180.10 (step @p512 :rule eq_resolve :premises (@p510 @p507)) % 179.76/180.10 (step @p513 :rule implies_elim :premises (@p512)) % 179.76/180.10 (step @p514 :rule eq_resolve :premises (@p513 @p495)) % 179.76/180.10 (step @p515 :rule chain_m_resolution :premises (@p514 @p492) :args (@t314 @t323 (@list @t305))) % 179.76/180.10 (step @p516 :rule bool-double-not-elim :args (@t308)) % 179.76/180.10 (step @p517 :rule refl :args (@t313)) % 179.76/180.10 (step @p518 :rule nary_cong :premises (@p517 @p516) :args ((or @t313 (not @t309)))) % 179.76/180.10 (step @p519 :rule cnf_or_neg :args (@t313 1)) % 179.76/180.10 (step @p520 :rule eq_resolve :premises (@p519 @p518)) % 179.76/180.10 (step @p521 :rule reordering :premises (@p520) :args ((or @t308 @t313))) % 179.76/180.10 (step @p522 :rule chain_m_resolution :premises (@p521 @p515) :args (@t308 @t323 @t324)) % 179.76/180.10 (step @p523 :rule refl :args (@t327)) % 179.76/180.10 (step @p524 :rule eq-symm :args (@t328 @t300)) % 179.76/180.10 (step @p525 :rule cong :premises (@p524) :args (@t329)) % 179.76/180.10 (step @p526 :rule cong :premises (@p525) :args (@t330)) % 179.76/180.10 (step @p527 :rule nary_cong :premises (@p526 @p523) :args (@t331)) % 179.76/180.10 (step @p528 :rule refl :args (@t308)) % 179.76/180.10 (step @p529 :rule cong :premises (@p528 @p527) :args ((=> @t308 @t331))) % 179.76/180.10 (assume-push @p698 @t308) % 179.76/180.10 (step @p531 :rule instantiate :premises (@p522) :args ((@list @t326))) % 179.76/180.10 (step-pop @p699 :rule scope :premises (@p531)) % 179.76/180.10 (step @p532 :rule process_scope :premises (@p699) :args (@t331)) % 179.76/180.10 (step @p534 :rule eq_resolve :premises (@p532 @p529)) % 179.76/180.10 (step @p535 :rule implies_elim :premises (@p534)) % 179.76/180.10 (step @p536 :rule chain_m_resolution :premises (@p535 @p522) :args (@t334 @t335 @t336)) % 179.76/180.10 (step @p537 :rule eq-symm :args ((forall @t140 (= @t342 @t339)) @t343)) % 179.76/180.10 (step @p538 :rule refl :args (@t343)) % 179.76/180.10 (step @p539 :rule eq-symm :args (@t339 @t342)) % 179.76/180.10 (step @p540 :rule cong :premises (@p539) :args (@t344)) % 179.76/180.10 (step @p541 :rule cong :premises (@p540 @p538) :args ((= @t344 @t343))) % 179.76/180.10 (step @p542 :rule trans :premises (@p541 @p537)) % 179.76/180.10 (step @p543 :rule eq-symm :args (@t343 @t344)) % 179.76/180.10 (step @p544 :rule trans :premises (@p543 @p542)) % 179.76/180.10 (step @p545 :rule cong :premises (@p544) :args (@t345)) % 179.76/180.10 ; trust TRUST PREPROCESS_HO_ELIM % 179.76/180.10 (step @p546 :rule trust :premises () :args ((= @t347 @t345))) % 179.76/180.10 (step @p547 :rule trans :premises (@p546 @p545)) % 179.76/180.10 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 179.76/180.10 (step @p548 :rule trust :premises () :args (@t347)) % 179.76/180.10 (step @p549 :rule eq_resolve :premises (@p548 @p547)) % 179.76/180.10 (step @p550 :rule instantiate :premises (@p549) :args ((@list @t299 @t298 @t326))) % 179.76/180.10 (step @p551 :rule not_implies_elim1 :premises (@p489)) % 179.76/180.10 (step @p552 :rule instantiate :premises (@p551) :args ((@list @t325 @t306))) % 179.76/180.10 (step @p553 :rule bool-double-not-elim :args (@t350)) % 179.76/180.10 (step @p554 :rule refl :args (@t353)) % 179.76/180.10 (step @p555 :rule nary_cong :premises (@p554 @p553) :args ((or @t353 (not @t352)))) % 179.76/180.10 (step @p556 :rule cnf_or_neg :args (@t353 0)) % 179.76/180.10 (step @p557 :rule eq_resolve :premises (@p556 @p555)) % 179.76/180.10 (step @p558 :rule reordering :premises (@p557) :args ((or @t350 @t353))) % 179.76/180.10 (step @p559 :rule cnf_or_neg :args (@t353 1)) % 179.76/180.10 (step @p560 :rule instantiate :premises (@p549) :args ((@list @t299 @t298 @t349))) % 179.76/180.10 (step @p561 :rule cnf_equiv_pos1 :args (@t356)) % 179.76/180.10 (step @p562 :rule reordering :premises (@p561) :args ((or @t352 @t355 (not @t356)))) % 179.76/180.10 (step @p563 :rule eq-symm :args (@t349 @t306)) % 179.76/180.10 (step @p564 :rule eq-symm :args (@t357 @t300)) % 179.76/180.10 (step @p565 :rule cong :premises (@p564) :args (@t358)) % 179.76/180.10 (step @p566 :rule cong :premises (@p565) :args (@t359)) % 179.76/180.10 (step @p567 :rule nary_cong :premises (@p566 @p563) :args (@t361)) % 179.76/180.10 (step @p568 :rule cong :premises (@p528 @p567) :args ((=> @t308 @t361))) % 179.76/180.10 (assume-push @p700 @t308) % 179.76/180.10 (step @p570 :rule instantiate :premises (@p522) :args ((@list @t349))) % 179.76/180.10 (step-pop @p701 :rule scope :premises (@p570)) % 179.76/180.10 (step @p571 :rule process_scope :premises (@p701) :args (@t361)) % 179.76/180.10 (step @p573 :rule eq_resolve :premises (@p571 @p568)) % 179.76/180.10 (step @p574 :rule implies_elim :premises (@p573)) % 179.76/180.10 (step @p575 :rule chain_m_resolution :premises (@p574 @p522) :args (@t364 @t335 @t336)) % 179.76/180.10 (step @p576 :rule cnf_or_pos :args (@t364)) % 179.76/180.10 (step @p577 :rule reordering :premises (@p576) :args ((or @t351 @t363 (not @t364)))) % 179.76/180.10 (step @p578 :rule alpha_equiv :args (@t362 @t365 @t366)) % 179.76/180.10 (step @p579 :rule equiv_elim2 :premises (@p578)) % 179.76/180.10 (step @p580 :rule chain_m_resolution :premises (@p579 @p577 @p575 @p562 @p560 @p559 @p558) :args (@t353 (@list true false false false true false) (@list @t362 @t364 @t355 @t356 @t351 @t350))) % 179.76/180.10 (step @p581 :rule refl :args (@t367)) % 179.76/180.10 (step @p582 :rule bool-double-not-elim :args (@t348)) % 179.76/180.10 (step @p583 :rule nary_cong :premises (@p582 @p581) :args ((or (not @t368) @t367))) % 179.76/180.10 (step @p584 :rule refl :args (@t352)) % 179.76/180.10 (step @p585 :rule nary_cong :premises (@p584 @p563) :args (@t369)) % 179.76/180.10 (step @p586 :rule cong :premises (@p585) :args (@t370)) % 179.76/180.10 (step @p587 :rule refl :args (@t368)) % 179.76/180.10 (step @p588 :rule cong :premises (@p587 @p586) :args ((=> @t368 @t370))) % 179.76/180.10 (assume-push @p702 @t368) % 179.76/180.10 (step @p590 :rule skolemize :premises (@p702)) % 179.76/180.10 (step-pop @p703 :rule scope :premises (@p590)) % 179.76/180.10 (step @p591 :rule process_scope :premises (@p703) :args (@t370)) % 179.76/180.10 (step @p593 :rule eq_resolve :premises (@p591 @p588)) % 179.76/180.10 (step @p594 :rule implies_elim :premises (@p593)) % 179.76/180.10 (step @p595 :rule eq_resolve :premises (@p594 @p583)) % 179.76/180.10 (step @p596 :rule chain_m_resolution :premises (@p595 @p580) :args (@t348 @t335 (@list @t353))) % 179.76/180.10 (step @p597 :rule instantiate :premises (@p549) :args ((@list @t299 @t298 @t306))) % 179.76/180.10 (step @p598 :rule bool-double-not-elim :args (@t311)) % 179.76/180.10 (step @p599 :rule nary_cong :premises (@p517 @p598) :args ((or @t313 (not @t312)))) % 179.76/180.10 (step @p600 :rule cnf_or_neg :args (@t313 0)) % 179.76/180.10 (step @p601 :rule eq_resolve :premises (@p600 @p599)) % 179.76/180.10 (step @p602 :rule reordering :premises (@p601) :args ((or @t311 @t313))) % 179.76/180.10 (step @p603 :rule chain_m_resolution :premises (@p602 @p515) :args (@t311 @t323 @t324)) % 179.76/180.10 (step @p604 :rule alpha_equiv :args ((forall (@list @t371) (= (not (forall (@list @t372) (or (not (_ @t63 (_ @t61 @t60 @t372) @t299)) (not (= @t371 (_ @t58 @t298 @t372)))))) (_ @t63 (_ @t61 @t60 @t371) @t306))) @t373 @t366)) % 179.76/180.10 (step @p605 :rule alpha_equiv :args (@t311 (@list @t13 @t92) @t373)) % 179.76/180.10 (step @p606 :rule trans :premises (@p605 @p604)) % 179.76/180.10 (step @p607 :rule equiv_elim1 :premises (@p606)) % 179.76/180.10 (step @p608 :rule chain_m_resolution :premises (@p607 @p603) :args (@t374 @t335 (@list @t311))) % 179.76/180.10 (step @p609 :rule cnf_equiv_pos2 :args (@t376)) % 179.76/180.10 (step @p610 :rule reordering :premises (@p609) :args ((or @t375 (not @t374) (not @t376)))) % 179.76/180.10 (step @p611 :rule chain_m_resolution :premises (@p610 @p608 @p597) :args (@t375 @t377 (@list @t374 @t376))) % 179.76/180.10 (step @p612 :rule cnf_or_pos :args (@t380)) % 179.76/180.10 (step @p613 :rule reordering :premises (@p612) :args ((or @t379 @t378 @t368 (not @t380)))) % 179.76/180.10 (step @p614 :rule chain_m_resolution :premises (@p613 @p611 @p596 @p552) :args (@t379 (@list false false false) (@list @t375 @t348 @t380))) % 179.76/180.10 (step @p615 :rule cnf_equiv_pos1 :args (@t382)) % 179.76/180.10 (step @p616 :rule reordering :premises (@p615) :args ((or @t381 (not @t379) (not @t382)))) % 179.76/180.10 (step @p617 :rule chain_m_resolution :premises (@p616 @p614 @p550) :args (@t381 @t377 (@list @t379 @t382))) % 179.76/180.10 (step @p618 :rule alpha_equiv :args (@t381 @t366 @t365)) % 179.76/180.10 (step @p619 :rule equiv_elim1 :premises (@p618)) % 179.76/180.10 (step @p620 :rule chain_m_resolution :premises (@p619 @p617) :args (@t332 @t335 (@list @t381))) % 179.76/180.10 (step @p621 :rule cnf_or_pos :args (@t334)) % 179.76/180.10 (step @p622 :rule reordering :premises (@p621) :args ((or @t327 @t333 (not @t334)))) % 179.76/180.10 (step @p623 :rule chain_m_resolution :premises (@p622 @p620 @p536) :args (@t327 @t377 (@list @t332 @t334))) % 179.76/180.10 (step @p624 :rule not_implies_elim2 :premises (@p490)) % 179.76/180.10 (step @p625 :rule skolemize :premises (@p624)) % 179.76/180.10 (step @p626 :rule bool-double-not-elim :args (@t384)) % 179.76/180.10 (step @p627 :rule refl :args (@t387)) % 179.76/180.10 (step @p628 :rule refl :args (@t389)) % 179.76/180.10 (step @p629 :rule nary_cong :premises (@p628 @p627 @p626) :args ((or @t389 @t387 @t390))) % 179.76/180.10 (step @p630 :rule cnf_equiv_neg2 :args (@t389)) % 179.76/180.10 (step @p631 :rule eq_resolve :premises (@p630 @p629)) % 179.76/180.10 (step @p632 :rule reordering :premises (@p631) :args ((or @t384 @t389 @t387))) % 179.76/180.10 (step @p633 :rule instantiate :premises (@p603) :args ((@list @t383))) % 179.76/180.10 (step @p634 :rule cnf_equiv_pos2 :args (@t392)) % 179.76/180.10 (step @p635 :rule reordering :premises (@p634) :args ((or @t388 @t394 @t393))) % 179.76/180.10 (assume-push @p704 @t386) % 179.76/180.10 (assume-push @p705 @t327) % 179.76/180.10 (assume-push @p706 @t386) % 179.76/180.10 (assume-push @p707 @t327) % 179.76/180.10 (step @p640 :rule true_intro :premises (@p704)) % 179.76/180.10 (step @p641 :rule symm :premises (@p705)) % 179.76/180.10 (step @p642 :rule refl :args (@t385)) % 179.76/180.10 (step @p643 :rule cong :premises (@p642 @p641) :args (@t391)) % 179.76/180.10 (step @p644 :rule trans :premises (@p643 @p640)) % 179.76/180.10 (step @p645 :rule true_elim :premises (@p644)) % 179.76/180.10 (step-pop @p708 :rule scope :premises (@p645)) % 179.76/180.10 (step-pop @p709 :rule scope :premises (@p708)) % 179.76/180.10 (step @p646 :rule process_scope :premises (@p709) :args (@t391)) % 179.76/180.10 (step @p649 :rule and_intro :premises (@p704 @p705)) % 179.76/180.10 (step @p650 :rule modus_ponens :premises (@p649 @p646)) % 179.76/180.10 (step-pop @p710 :rule scope :premises (@p650)) % 179.76/180.10 (step-pop @p711 :rule scope :premises (@p710)) % 179.76/180.10 (step @p651 :rule process_scope :premises (@p711) :args (@t391)) % 179.76/180.10 (step @p654 :rule implies_elim :premises (@p651)) % 179.76/180.10 (step @p655 :rule cnf_and_neg :args (@t395)) % 179.76/180.10 (step @p656 :rule resolution :premises (@p655 @p654) :args (true @t395)) % 179.76/180.10 (step @p657 :rule reordering :premises (@p656) :args ((or @t387 @t391 @t396))) % 179.76/180.10 (step @p658 :rule chain_m_resolution :premises (@p657 @p623 @p635 @p633 @p632 @p625) :args (@t387 (@list false true false false true) (@list @t327 @t391 @t392 @t384 @t389))) % 179.76/180.10 (step @p659 :rule cnf_equiv_neg1 :args (@t389)) % 179.76/180.10 (step @p660 :rule reordering :premises (@p659) :args ((or @t386 @t388 @t389))) % 179.76/180.10 (step @p661 :rule chain_m_resolution :premises (@p660 @p658 @p625) :args (@t388 (@list true true) (@list @t386 @t389))) % 179.76/180.10 (step @p662 :rule refl :args (@t391)) % 179.76/180.10 (step @p663 :rule refl :args (@t393)) % 179.76/180.10 (step @p664 :rule nary_cong :premises (@p663 @p626 @p662) :args ((or @t393 @t390 @t391))) % 179.76/180.10 (step @p665 :rule cnf_equiv_pos1 :args (@t392)) % 179.76/180.10 (step @p666 :rule eq_resolve :premises (@p665 @p664)) % 179.76/180.10 (step @p667 :rule reordering :premises (@p666) :args ((or @t384 @t391 @t393))) % 179.76/180.10 (step @p668 :rule chain_m_resolution :premises (@p667 @p661 @p633) :args (@t391 (@list true false) (@list @t384 @t392))) % 179.76/180.10 (step @p669 :rule refl :args (@t394)) % 179.76/180.10 (step @p670 :rule refl :args (@t396)) % 179.76/180.10 (step @p671 :rule bool-double-not-elim :args (@t386)) % 179.76/180.10 (step @p672 :rule nary_cong :premises (@p671 @p670 @p669) :args ((or (not @t387) @t396 @t394))) % 179.76/180.10 (assume-push @p712 @t387) % 179.76/180.10 (assume-push @p713 @t327) % 179.76/180.10 (assume-push @p714 @t387) % 179.76/180.10 (assume-push @p715 @t327) % 179.76/180.10 (step @p677 :rule false_intro :premises (@p712)) % 179.76/180.10 (step @p678 :rule symm :premises (@p713)) % 179.76/180.10 (step @p642 :rule refl :args (@t385)) % 179.76/180.10 (step @p679 :rule cong :premises (@p642 @p678) :args (@t391)) % 179.76/180.10 (step @p680 :rule trans :premises (@p679 @p677)) % 179.76/180.10 (step @p681 :rule false_elim :premises (@p680)) % 179.76/180.10 (step-pop @p716 :rule scope :premises (@p681)) % 179.76/180.10 (step-pop @p717 :rule scope :premises (@p716)) % 179.76/180.10 (step @p682 :rule process_scope :premises (@p717) :args (@t394)) % 179.76/180.10 (step @p685 :rule and_intro :premises (@p712 @p713)) % 179.76/180.10 (step @p686 :rule modus_ponens :premises (@p685 @p682)) % 179.76/180.10 (step-pop @p718 :rule scope :premises (@p686)) % 179.76/180.10 (step-pop @p719 :rule scope :premises (@p718)) % 179.76/180.11 (step @p687 :rule process_scope :premises (@p719) :args (@t394)) % 179.76/180.11 (step @p690 :rule implies_elim :premises (@p687)) % 179.76/180.11 (step @p691 :rule cnf_and_neg :args (@t397)) % 179.76/180.11 (step @p692 :rule resolution :premises (@p691 @p690) :args (true @t397)) % 179.76/180.11 (step @p693 :rule eq_resolve :premises (@p692 @p672)) % 179.76/180.11 (step @p694 :rule reordering :premises (@p693) :args ((or @t386 @t394 @t396))) % 179.76/180.11 (step @p695 false :rule chain_m_resolution :premises (@p694 @p668 @p658 @p623) :args (false (@list false true false) (@list @t391 @t386 @t327))) % 179.76/180.11 ) % 179.76/180.11 % SZS output end Proof % 179.76/180.11 % cvc5 exiting %------------------------------------------------------------------------------