%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO542^1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 09:13:05 AM UTC 2026 % Result : Theorem 151.57s 151.82s % Output : Proof 151.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO542^1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n002.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 00:20:03 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 151.57/151.82 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 151.57/151.82 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 151.57/151.82 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 151.57/151.82 --- Run --ho-elim --full-saturate-quant at 18s... % 151.57/151.82 % SZS status Theorem % 151.57/151.82 % SZS output start Proof % 151.57/151.82 ( % 151.57/151.82 (declare-sort $$unsorted 0) % 151.57/151.82 (declare-const tptp.epsii (-> (-> (-> $$unsorted $$unsorted) Bool) $$unsorted $$unsorted)) % 151.57/151.82 (define tptp.if () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted $$unsorted)))) (let ((_let_3 (@var "Z" (-> $$unsorted $$unsorted)))) (let ((_let_4 (@var "B" Bool))) (let ((_let_5 (@var "X" (-> $$unsorted $$unsorted)))) (lambda (@list _let_4 _let_5 _let_2 _let_1) (_ (_ tptp.epsii (lambda (@list _let_3) (or (and _let_4 (= _let_3 _let_5)) (and (not _let_4) (= _let_3 _let_2))))) _let_1)))))))) % 151.57/151.82 (define @t1 () (@var "P" (-> (-> $$unsorted $$unsorted) Bool))) % 151.57/151.82 (define @t2 () (_ tptp.epsii @t1)) % 151.57/151.82 (define @t3 () (_ @t1 @t2)) % 151.57/151.82 (define @t4 () (@var "X" (-> $$unsorted $$unsorted))) % 151.57/151.82 (define @t5 () (_ @t1 @t4)) % 151.57/151.82 (define @t6 () (@list @t4)) % 151.57/151.82 (define @t7 () (exists @t6 @t5)) % 151.57/151.82 (define @t8 () (=> @t7 @t3)) % 151.57/151.82 (define @t9 () (@list @t1)) % 151.57/151.82 (define @t10 () (forall @t9 @t8)) % 151.57/151.82 (define @t11 () (@var "Y" (-> $$unsorted $$unsorted))) % 151.57/151.82 (define @t12 () (@var "B" Bool)) % 151.57/151.82 (define @t13 () (_ (_ (_ tptp.if @t12) @t4) @t11)) % 151.57/151.82 (define @t14 () (= @t13 @t11)) % 151.57/151.82 (define @t15 () (= @t13 @t4)) % 151.57/151.82 (define @t16 () (or @t15 @t14)) % 151.57/151.82 (define @t17 () (@list @t12 @t4 @t11)) % 151.57/151.82 (define @t18 () (forall @t17 @t16)) % 151.57/151.82 (define @t19 () (not @t18)) % 151.57/151.82 (define @t20 () (@var "__flatten_var_0" $$unsorted)) % 151.57/151.82 (define @t21 () (@var "Z" (-> $$unsorted $$unsorted))) % 151.57/151.82 (define @t22 () (not @t12)) % 151.57/151.82 (define @t23 () (and @t22 (= @t21 @t11))) % 151.57/151.82 (define @t24 () (and @t12 (= @t21 @t4))) % 151.57/151.82 (define @t25 () (or @t24 @t23)) % 151.57/151.82 (define @t26 () (@list @t21)) % 151.57/151.82 (define @t27 () (lambda @t26 @t25)) % 151.57/151.82 (define @t28 () (@list @t12 @t4 @t11 @t20)) % 151.57/151.82 (define @t29 () (lambda @t28 (_ (_ tptp.epsii @t27) @t20))) % 151.57/151.82 (define @t30 () (@var "y" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 151.57/151.82 (define @t31 () (@var "x" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 151.57/151.82 (define @t32 () (@var "z" $$unsorted)) % 151.57/151.82 (define @t33 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 151.57/151.82 (define @t34 () (@list @t32)) % 151.57/151.82 (define @t35 () (@var "BOUND_VARIABLE_7625" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 151.57/151.82 (define @t36 () (@var "BOUND_VARIABLE_7626" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 151.57/151.82 (define @t37 () (@const 1 (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted)))) % 151.57/151.82 (define @t38 () (@const 2 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted)) (@ho-elim-sort (-> $$unsorted $$unsorted)) (@ho-elim-sort (-> Bool (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))))) % 151.57/151.82 (define @t39 () (@const 3 (-> (@ho-elim-sort (-> Bool (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted)) Bool (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))))) % 151.57/151.82 (define @t40 () (@const 4 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted)) (@ho-elim-sort (-> $$unsorted $$unsorted)) (@ho-elim-sort (-> $$unsorted $$unsorted))))) % 151.57/151.82 (define @t41 () (_ @t40 (_ @t39 (_ @t38 @t37 @t36) @t12) @t35)) % 151.57/151.82 (define @t42 () (forall (@list @t12 @t36 @t35) (or (= @t36 @t41) (= @t35 @t41)))) % 151.57/151.82 (define @t43 () (@quantifiers_skolemize @t42 2)) % 151.57/151.82 (define @t44 () (@quantifiers_skolemize @t42 0)) % 151.57/151.82 (define @t45 () (@purify @t44)) % 151.57/151.82 (define @t46 () (@quantifiers_skolemize @t42 1)) % 151.57/151.82 (define @t47 () (_ @t38 @t37 @t46)) % 151.57/151.82 (define @t48 () (_ @t40 (_ @t39 @t47 @t45) @t43)) % 151.57/151.82 (define @t49 () (not @t42)) % 151.57/151.82 (define @t50 () (@const 5 (-> (-> $$unsorted $$unsorted) Bool (-> $$unsorted $$unsorted) $$unsorted $$unsorted))) % 151.57/151.82 (define @t51 () (_ (_ (_ @t50 @t4) @t12) @t11)) % 151.57/151.82 (define @t52 () (not (forall @t17 (or (= @t4 @t51) (= @t11 @t51))))) % 151.57/151.82 (define @t53 () (lambda @t26 (or (and @t12 (= @t4 @t21)) (and @t22 (= @t11 @t21))))) % 151.57/151.82 (define @t54 () (tptp.epsii @t53 @t20)) % 151.57/151.82 (define @t55 () (@list @t20)) % 151.57/151.82 (define @t56 () (lambda @t55 @t54)) % 151.57/151.82 (define @t57 () (_ (_ tptp.epsii @t53) @t20)) % 151.57/151.82 (define @t58 () (lambda @t55 @t57)) % 151.57/151.82 (define @t59 () (= @t11 @t58)) % 151.57/151.82 (define @t60 () (= @t4 @t58)) % 151.57/151.82 (define @t61 () (or @t60 @t59)) % 151.57/151.82 (define @t62 () (lambda (@list @t11 @t20) @t57)) % 151.57/151.82 (define @t63 () (lambda (@list @t4 @t11 @t20) @t57)) % 151.57/151.82 (define @t64 () (_ (lambda @t28 @t57) @t12)) % 151.57/151.82 (define @t65 () (_ (_ @t64 @t4) @t11)) % 151.57/151.82 (define @t66 () (= @t65 @t11)) % 151.57/151.82 (define @t67 () (= @t65 @t4)) % 151.57/151.82 (define @t68 () (or @t67 @t66)) % 151.57/151.82 (define @t69 () (forall @t17 @t68)) % 151.57/151.82 (define @t70 () (= @t43 @t48)) % 151.57/151.82 (define @t71 () (= @t46 @t48)) % 151.57/151.82 (define @t72 () (or @t71 @t70)) % 151.57/151.82 (define @t73 () (not @t72)) % 151.57/151.82 (define @t74 () (_ @t39 @t47 @t44)) % 151.57/151.82 (define @t75 () (_ @t40 @t74 @t43)) % 151.57/151.82 (define @t76 () (= @t43 @t75)) % 151.57/151.82 (define @t77 () (= @t46 @t75)) % 151.57/151.82 (define @t78 () (or @t77 @t76)) % 151.57/151.82 (define @t79 () (not @t78)) % 151.57/151.82 (define @t80 () (@list true)) % 151.57/151.82 (define @t81 () (@list @t72)) % 151.57/151.82 (define @t82 () (_ @t33 @t48 @t32)) % 151.57/151.82 (define @t83 () (forall @t34 (= (_ @t33 @t43 @t32) @t82))) % 151.57/151.82 (define @t84 () (not @t83)) % 151.57/151.82 (define @t85 () (or @t84 @t70)) % 151.57/151.82 (define @t86 () (@list true false)) % 151.57/151.82 (define @t87 () (@var "BOUND_VARIABLE_7550" $$unsorted)) % 151.57/151.82 (define @t88 () (@var "BOUND_VARIABLE_7652" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 151.57/151.82 (define @t89 () (@var "BOUND_VARIABLE_7548" Bool)) % 151.57/151.82 (define @t90 () (@var "BOUND_VARIABLE_7653" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 151.57/151.82 (define @t91 () (_ @t33 (_ @t40 (_ @t39 (_ @t38 @t37 @t90) @t89) @t88) @t87)) % 151.57/151.82 (define @t92 () (@const 6 (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool (@ho-elim-sort (-> $$unsorted $$unsorted)) (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool)))) % 151.57/151.82 (define @t93 () (@const 7 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool (@ho-elim-sort (-> $$unsorted $$unsorted)) (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool)) (@ho-elim-sort (-> $$unsorted $$unsorted)) (@ho-elim-sort (-> Bool (@ho-elim-sort (-> $$unsorted $$unsorted)) (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool))))) % 151.57/151.82 (define @t94 () (@const 8 (-> (@ho-elim-sort (-> Bool (@ho-elim-sort (-> $$unsorted $$unsorted)) (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool)) Bool (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool))))) % 151.57/151.82 (define @t95 () (@const 9 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool)) (@ho-elim-sort (-> $$unsorted $$unsorted)) (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool))))) % 151.57/151.82 (define @t96 () (@const 10 (@ho-elim-sort (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool)) $$unsorted $$unsorted)))) % 151.57/151.82 (define @t97 () (@const 11 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool)) $$unsorted $$unsorted)) (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool)) (@ho-elim-sort (-> $$unsorted $$unsorted))))) % 151.57/151.82 (define @t98 () (_ @t33 (_ @t97 @t96 (_ @t95 (_ @t94 (_ @t93 @t92 @t90) @t89) @t88)) @t87)) % 151.57/151.82 (define @t99 () (@list @t90 @t89 @t88 @t87)) % 151.57/151.82 (define @t100 () (forall @t99 (= @t91 @t98))) % 151.57/151.82 (define @t101 () (@var "BOUND_VARIABLE_7549" (-> $$unsorted $$unsorted))) % 151.57/151.82 (define @t102 () (@var "BOUND_VARIABLE_7547" (-> $$unsorted $$unsorted))) % 151.57/151.82 (define @t103 () (@const 12 (-> (-> $$unsorted $$unsorted) Bool (-> $$unsorted $$unsorted) (-> $$unsorted $$unsorted) Bool))) % 151.57/151.82 (define @t104 () (forall (@list @t102 @t89 @t101 @t87) (= (_ @t50 @t102 @t89 @t101 @t87) (tptp.epsii (_ (_ (_ @t103 @t102) @t89) @t101) @t87)))) % 151.57/151.82 (define @t105 () (@quantifiers_skolemize @t83 0)) % 151.57/151.82 (define @t106 () (_ @t93 @t92 @t46)) % 151.57/151.82 (define @t107 () (_ @t95 (_ @t94 @t106 @t45) @t43)) % 151.57/151.82 (define @t108 () (_ @t97 @t96 @t107)) % 151.57/151.82 (define @t109 () (_ @t33 @t108 @t105)) % 151.57/151.82 (define @t110 () (_ @t33 @t48 @t105)) % 151.57/151.82 (define @t111 () (forall @t99 (= @t98 @t91))) % 151.57/151.82 (define @t112 () (= @t109 @t110)) % 151.57/151.82 (define @t113 () (@list @t46 @t45 @t43 @t105)) % 151.57/151.82 (define @t114 () (= @t110 @t109)) % 151.57/151.82 (define @t115 () (@list false)) % 151.57/151.82 (define @t116 () (@list @t111)) % 151.57/151.82 (define @t117 () (@var "BOUND_VARIABLE_7693" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 151.57/151.82 (define @t118 () (@var "BOUND_VARIABLE_7692" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 151.57/151.82 (define @t119 () (@var "BOUND_VARIABLE_7583" Bool)) % 151.57/151.82 (define @t120 () (not @t119)) % 151.57/151.82 (define @t121 () (and @t120 (= @t117 @t118))) % 151.57/151.82 (define @t122 () (@var "BOUND_VARIABLE_7694" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 151.57/151.82 (define @t123 () (and @t119 (= @t122 @t118))) % 151.57/151.82 (define @t124 () (or @t123 @t121)) % 151.57/151.82 (define @t125 () (@const 13 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool)) (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool))) % 151.57/151.82 (define @t126 () (_ @t125 (_ @t95 (_ @t94 (_ @t93 @t92 @t122) @t119) @t117) @t118)) % 151.57/151.82 (define @t127 () (@list @t122 @t119 @t117 @t118)) % 151.57/151.82 (define @t128 () (forall @t127 (= @t124 @t126))) % 151.57/151.82 (define @t129 () (@var "BOUND_VARIABLE_7585" (-> $$unsorted $$unsorted))) % 151.57/151.82 (define @t130 () (@var "BOUND_VARIABLE_7584" (-> $$unsorted $$unsorted))) % 151.57/151.82 (define @t131 () (@var "BOUND_VARIABLE_7582" (-> $$unsorted $$unsorted))) % 151.57/151.82 (define @t132 () (forall (@list @t131 @t119 @t130 @t129) (= (or (and @t119 (= @t131 @t129)) (and @t120 (= @t130 @t129))) (_ @t103 @t131 @t119 @t130 @t129)))) % 151.57/151.82 (define @t133 () (not @t45)) % 151.57/151.82 (define @t134 () (and @t133 (= @t108 @t43))) % 151.57/151.82 (define @t135 () (and @t45 (= @t108 @t46))) % 151.57/151.82 (define @t136 () (or @t135 @t134)) % 151.57/151.82 (define @t137 () (_ @t125 @t107 @t108)) % 151.57/151.82 (define @t138 () (= @t137 @t136)) % 151.57/151.82 (define @t139 () (forall @t127 (= @t126 (or (and @t119 (= @t118 @t122)) (and @t120 (= @t118 @t117)))))) % 151.57/151.82 (define @t140 () (= @t43 @t108)) % 151.57/151.82 (define @t141 () (and @t133 @t140)) % 151.57/151.82 (define @t142 () (and @t45 (= @t46 @t108))) % 151.57/151.82 (define @t143 () (or @t142 @t141)) % 151.57/151.82 (define @t144 () (= @t137 @t143)) % 151.57/151.82 (define @t145 () (@list @t139)) % 151.57/151.82 (define @t146 () (@var "BOUND_VARIABLE_7604" (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool)))) % 151.57/151.82 (define @t147 () (@var "BOUND_VARIABLE_7615" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 151.57/151.82 (define @t148 () (_ @t1 @t2)) % 151.57/151.82 (define @t149 () (@var "BOUND_VARIABLE_7481" (-> $$unsorted $$unsorted))) % 151.57/151.82 (define @t150 () (not (_ @t1 @t149))) % 151.57/151.82 (define @t151 () (or @t150 @t148)) % 151.57/151.82 (define @t152 () (forall (@list @t1 @t149) @t151)) % 151.57/151.82 (define @t153 () (@list @t149)) % 151.57/151.82 (define @t154 () (forall @t153 @t151)) % 151.57/151.82 (define @t155 () (forall @t153 @t150)) % 151.57/151.82 (define @t156 () (or @t155 @t148)) % 151.57/151.82 (define @t157 () (_ @t1 @t4)) % 151.57/151.82 (define @t158 () (forall @t6 (not @t157))) % 151.57/151.82 (define @t159 () (or @t158 @t3)) % 151.57/151.82 (define @t160 () (not @t158)) % 151.57/151.82 (define @t161 () (not @t5)) % 151.57/151.82 (define @t162 () (forall @t6 @t161)) % 151.57/151.82 (define @t163 () (not @t162)) % 151.57/151.82 (define @t164 () (and @t133 (= @t43 @t43))) % 151.57/151.82 (define @t165 () (and @t45 (= @t43 @t46))) % 151.57/151.82 (define @t166 () (or @t165 @t164)) % 151.57/151.82 (define @t167 () (_ @t125 @t107 @t43)) % 151.57/151.82 (define @t168 () (= @t167 @t166)) % 151.57/151.82 (define @t169 () (= @t46 @t43)) % 151.57/151.82 (define @t170 () (or (and @t45 @t169) @t133)) % 151.57/151.82 (define @t171 () (= @t167 @t170)) % 151.57/151.82 (define @t172 () (@purify true)) % 151.57/151.82 (define @t173 () (forall @t34 (= (_ @t33 @t46 @t32) @t82))) % 151.57/151.82 (define @t174 () (not @t173)) % 151.57/151.82 (define @t175 () (or @t174 @t71)) % 151.57/151.82 (define @t176 () (@quantifiers_skolemize @t173 0)) % 151.57/151.82 (define @t177 () (_ @t33 @t108 @t176)) % 151.57/151.82 (define @t178 () (_ @t33 @t48 @t176)) % 151.57/151.82 (define @t179 () (= @t177 @t178)) % 151.57/151.82 (define @t180 () (@list @t46 @t45 @t43 @t176)) % 151.57/151.82 (define @t181 () (= @t178 @t177)) % 151.57/151.82 (define @t182 () (_ @t94 @t106 @t172)) % 151.57/151.82 (define @t183 () (_ @t95 @t182 @t43)) % 151.57/151.82 (define @t184 () (_ @t97 @t96 @t183)) % 151.57/151.82 (define @t185 () (= @t46 @t184)) % 151.57/151.82 (define @t186 () (_ @t94 @t106 true)) % 151.57/151.82 (define @t187 () (_ @t95 @t186 @t43)) % 151.57/151.82 (define @t188 () (_ @t125 @t187 @t184)) % 151.57/151.82 (define @t189 () (= @t188 @t185)) % 151.57/151.82 (define @t190 () (not true)) % 151.57/151.82 (define @t191 () (and @t190 (= @t184 @t43))) % 151.57/151.82 (define @t192 () (= @t184 @t46)) % 151.57/151.82 (define @t193 () (and true @t192)) % 151.57/151.82 (define @t194 () (or @t193 @t191)) % 151.57/151.82 (define @t195 () (= @t188 @t194)) % 151.57/151.82 (define @t196 () (_ @t125 @t183 @t184)) % 151.57/151.82 (define @t197 () (= @t196 @t185)) % 151.57/151.82 (define @t198 () (_ @t125 @t187 @t46)) % 151.57/151.82 (define @t199 () (and @t190 @t169)) % 151.57/151.82 (define @t200 () (= @t46 @t46)) % 151.57/151.82 (define @t201 () (and true @t200)) % 151.57/151.82 (define @t202 () (or @t201 @t199)) % 151.57/151.82 (define @t203 () (= @t198 @t202)) % 151.57/151.82 (define @t204 () (_ @t125 @t183 @t46)) % 151.57/151.82 (define @t205 () (not @t204)) % 151.57/151.82 (define @t206 () (or @t205 @t196)) % 151.57/151.82 (define @t207 () (@list false false)) % 151.57/151.82 (define @t208 () (_ @t33 @t46 @t176)) % 151.57/151.82 (define @t209 () (= @t208 @t178)) % 151.57/151.82 (define @t210 () (and @t45 @t172 @t181 @t185)) % 151.57/151.82 (define @t211 () (@list @t45)) % 151.57/151.82 (define @t212 () (not @t167)) % 151.57/151.82 (define @t213 () (or @t212 @t137)) % 151.57/151.82 (define @t214 () (not @t142)) % 151.57/151.82 (define @t215 () (_ @t33 @t43 @t105)) % 151.57/151.82 (define @t216 () (= @t215 @t110)) % 151.57/151.82 (define @t217 () (and @t114 @t140)) % 151.57/151.82 (assume @p1 @t10) % 151.57/151.82 (assume @p2 @t19) % 151.57/151.82 (assume @p3 true) % 151.57/151.82 (step @p4 (= tptp.if @t29) :rule refl :args (@t29)) % 151.57/151.82 ; WARNING: add trust step for TRUST % 151.57/151.82 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 151.57/151.82 (step @p5 :rule trust :premises () :args ((forall (@list @t31 @t30) (or (not (forall @t34 (= (_ @t33 @t31 @t32) (_ @t33 @t30 @t32)))) (= @t31 @t30))))) % 151.57/151.82 (step @p6 :rule instantiate :premises (@p5) :args ((@list @t43 @t48))) % 151.57/151.82 ; trust TRUST PREPROCESS_HO_ELIM % 151.57/151.82 (step @p7 :rule trust :premises () :args ((= @t52 @t49))) % 151.57/151.82 ; trust TRUST PREPROCESS_HO_ELIM % 151.57/151.82 (step @p8 :rule trust :premises () :args ((= (not (forall @t17 (or (= @t4 @t56) (= @t11 @t56)))) @t52))) % 151.57/151.82 (step @p9 :rule refl :args (@t54)) % 151.57/151.82 (step @p10 :rule refl :args (@t57)) % 151.57/151.82 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t57 @t54))) % 151.57/151.82 (step @p12 :rule symm :premises (@p11)) % 151.57/151.82 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 151.57/151.82 (step @p14 :rule cong :premises (@p13) :args (@t58)) % 151.57/151.82 (step @p15 :rule refl :args (@t11)) % 151.57/151.82 (step @p16 :rule cong :premises (@p15 @p14) :args (@t59)) % 151.57/151.82 (step @p17 :rule refl :args (@t4)) % 151.57/151.82 (step @p18 :rule cong :premises (@p17 @p14) :args (@t60)) % 151.57/151.82 (step @p19 :rule nary_cong :premises (@p18 @p16) :args (@t61)) % 151.57/151.82 (step @p20 :rule cong :premises (@p19) :args ((forall @t17 @t61))) % 151.57/151.82 (step @p21 :rule eq-symm :args (@t58 @t11)) % 151.57/151.82 (step @p22 :rule refl :args (@t11)) % 151.57/151.82 (step @p23 :rule beta-reduce :args ((= (_ @t62 @t11) @t58))) % 151.57/151.82 (step @p24 :rule beta-reduce :args ((= (_ @t63 @t4) @t62))) % 151.57/151.82 (step @p25 :rule refl :args (@t4)) % 151.57/151.82 (step @p26 :rule beta-reduce :args ((= @t64 @t63))) % 151.57/151.82 (step @p27 :rule ho_cong :premises (@p26 @p25)) % 151.57/151.82 (step @p28 :rule trans :premises (@p27 @p24)) % 151.57/151.82 (step @p29 :rule ho_cong :premises (@p28 @p22)) % 151.57/151.82 (step @p30 :rule trans :premises (@p29 @p23)) % 151.57/151.82 (step @p31 :rule cong :premises (@p30 @p22) :args (@t66)) % 151.57/151.82 (step @p32 :rule trans :premises (@p31 @p21)) % 151.57/151.82 (step @p33 :rule eq-symm :args (@t58 @t4)) % 151.57/151.82 (step @p34 :rule cong :premises (@p30 @p25) :args (@t67)) % 151.57/151.82 (step @p35 :rule trans :premises (@p34 @p33)) % 151.57/151.82 (step @p36 :rule nary_cong :premises (@p35 @p32) :args (@t68)) % 151.57/151.82 (step @p37 :rule cong :premises (@p36) :args (@t69)) % 151.57/151.82 (step @p38 :rule trans :premises (@p37 @p20)) % 151.57/151.82 (step @p39 :rule cong :premises (@p38) :args ((not @t69))) % 151.57/151.82 (step @p40 :rule refl :args (@t12)) % 151.57/151.82 (step @p41 :rule refl :args (@t20)) % 151.57/151.82 (step @p42 :rule eq-symm :args (@t21 @t11)) % 151.57/151.82 (step @p43 :rule refl :args (@t22)) % 151.57/151.82 (step @p44 :rule nary_cong :premises (@p43 @p42) :args (@t23)) % 151.57/151.82 (step @p45 :rule eq-symm :args (@t21 @t4)) % 151.57/151.82 (step @p46 :rule nary_cong :premises (@p40 @p45) :args (@t24)) % 151.57/151.82 (step @p47 :rule nary_cong :premises (@p46 @p44) :args (@t25)) % 151.57/151.82 (step @p48 :rule cong :premises (@p47) :args (@t27)) % 151.57/151.82 (step @p49 :rule refl :args (tptp.epsii)) % 151.57/151.82 (step @p50 :rule ho_cong :premises (@p49 @p48)) % 151.57/151.82 (step @p51 :rule ho_cong :premises (@p50 @p41)) % 151.57/151.82 (step @p52 :rule cong :premises (@p51) :args (@t29)) % 151.57/151.82 (step @p53 :rule trans :premises (@p4 @p52)) % 151.57/151.82 (step @p54 :rule ho_cong :premises (@p53 @p40)) % 151.57/151.82 (step @p55 :rule ho_cong :premises (@p54 @p25)) % 151.57/151.82 (step @p56 :rule ho_cong :premises (@p55 @p22)) % 151.57/151.82 (step @p57 :rule cong :premises (@p56 @p22) :args (@t14)) % 151.57/151.82 (step @p58 :rule cong :premises (@p56 @p25) :args (@t15)) % 151.57/151.82 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t16)) % 151.57/151.82 (step @p60 :rule cong :premises (@p59) :args (@t18)) % 151.57/151.82 (step @p61 :rule cong :premises (@p60) :args (@t19)) % 151.57/151.82 (step @p62 :rule trans :premises (@p61 @p39)) % 151.57/151.82 (step @p63 :rule trans :premises (@p62 @p8 @p7)) % 151.57/151.82 (step @p64 :rule eq_resolve :premises (@p2 @p63)) % 151.57/151.82 (step @p65 :rule refl :args (@t73)) % 151.57/151.82 (step @p66 :rule bool-double-not-elim :args (@t42)) % 151.57/151.82 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or (not @t49) @t73))) % 151.57/151.82 (step @p68 :rule refl :args (@t43)) % 151.57/151.82 (step @p69 :rule eq-refl :args (@t44)) % 151.57/151.82 (step @p70 :rule skolem_intro :args (@t45)) % 151.57/151.82 (step @p71 :rule refl :args (@t44)) % 151.57/151.82 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t44 @t45))) % 151.57/151.82 (step @p73 :rule trans :premises (@p72 @p69)) % 151.57/151.82 (step @p74 :rule true_elim :premises (@p73)) % 151.57/151.82 (step @p75 :rule refl :args (@t47)) % 151.57/151.82 (step @p76 :rule cong :premises (@p75 @p74) :args (@t74)) % 151.57/151.82 (step @p77 :rule cong :premises (@p76 @p68) :args (@t75)) % 151.57/151.82 (step @p78 :rule cong :premises (@p68 @p77) :args (@t76)) % 151.57/151.82 (step @p79 :rule refl :args (@t46)) % 151.57/151.82 (step @p80 :rule cong :premises (@p79 @p77) :args (@t77)) % 151.57/151.82 (step @p81 :rule nary_cong :premises (@p80 @p78) :args (@t78)) % 151.57/151.82 (step @p82 :rule cong :premises (@p81) :args (@t79)) % 151.57/151.82 (step @p83 :rule refl :args (@t49)) % 151.57/151.82 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t49 @t79))) % 151.57/151.82 (assume-push @p371 @t49) % 151.57/151.82 (step @p86 :rule skolemize :premises (@p64)) % 151.57/151.82 (step-pop @p372 :rule scope :premises (@p86)) % 151.57/151.82 (step @p87 :rule process_scope :premises (@p372) :args (@t79)) % 151.57/151.82 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 151.57/151.82 (step @p90 :rule implies_elim :premises (@p89)) % 151.57/151.82 (step @p91 :rule eq_resolve :premises (@p90 @p67)) % 151.57/151.82 (step @p92 :rule chain_m_resolution :premises (@p91 @p64) :args (@t73 @t80 (@list @t42))) % 151.57/151.82 (step @p93 :rule cnf_or_neg :args (@t72 1)) % 151.57/151.82 (step @p94 :rule chain_m_resolution :premises (@p93 @p92) :args ((not @t70) @t80 @t81)) % 151.57/151.82 (step @p95 :rule cnf_or_pos :args (@t85)) % 151.57/151.82 (step @p96 :rule reordering :premises (@p95) :args ((or @t70 @t84 (not @t85)))) % 151.57/151.82 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p6) :args (@t84 @t86 (@list @t70 @t85))) % 151.57/151.82 (step @p98 :rule skolemize :premises (@p97)) % 151.57/151.82 (step @p99 :rule eq-symm :args (@t91 @t98)) % 151.57/151.82 (step @p100 :rule cong :premises (@p99) :args (@t100)) % 151.57/151.82 ; trust TRUST PREPROCESS_HO_ELIM % 151.57/151.82 (step @p101 :rule trust :premises () :args ((= @t104 @t100))) % 151.57/151.82 (step @p102 :rule trans :premises (@p101 @p100)) % 151.57/151.82 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 151.57/151.82 (step @p103 :rule trust :premises () :args (@t104)) % 151.57/151.82 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 151.57/151.82 (step @p105 :rule eq-symm :args (@t109 @t110)) % 151.57/151.82 (step @p106 :rule refl :args (@t111)) % 151.57/151.82 (step @p107 :rule cong :premises (@p106 @p105) :args ((=> @t111 @t112))) % 151.57/151.82 (assume-push @p373 @t111) % 151.57/151.82 (step @p109 :rule instantiate :premises (@p104) :args (@t113)) % 151.57/151.82 (step-pop @p374 :rule scope :premises (@p109)) % 151.57/151.82 (step @p110 :rule process_scope :premises (@p374) :args (@t112)) % 151.57/151.82 (step @p112 :rule eq_resolve :premises (@p110 @p107)) % 151.57/151.82 (step @p113 :rule implies_elim :premises (@p112)) % 151.57/151.82 (step @p114 :rule chain_m_resolution :premises (@p113 @p104) :args (@t114 @t115 @t116)) % 151.57/151.82 (step @p115 :rule eq-symm :args (@t117 @t118)) % 151.57/151.82 (step @p116 :rule refl :args (@t120)) % 151.57/151.82 (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t121)) % 151.57/151.82 (step @p118 :rule eq-symm :args (@t122 @t118)) % 151.57/151.82 (step @p119 :rule refl :args (@t119)) % 151.57/151.82 (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t123)) % 151.57/151.82 (step @p121 :rule nary_cong :premises (@p120 @p117) :args (@t124)) % 151.57/151.82 (step @p122 :rule refl :args (@t126)) % 151.57/151.82 (step @p123 :rule cong :premises (@p122 @p121) :args ((= @t126 @t124))) % 151.57/151.82 (step @p124 :rule eq-symm :args (@t124 @t126)) % 151.57/151.82 (step @p125 :rule trans :premises (@p124 @p123)) % 151.57/151.82 (step @p126 :rule cong :premises (@p125) :args (@t128)) % 151.57/151.82 ; trust TRUST PREPROCESS_HO_ELIM % 151.57/151.82 (step @p127 :rule trust :premises () :args ((= @t132 @t128))) % 151.57/151.82 (step @p128 :rule trans :premises (@p127 @p126)) % 151.57/151.82 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 151.57/151.82 (step @p129 :rule trust :premises () :args (@t132)) % 151.57/151.82 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 151.57/151.82 (step @p131 :rule eq-symm :args (@t108 @t43)) % 151.57/151.82 (step @p132 :rule refl :args (@t133)) % 151.57/151.82 (step @p133 :rule nary_cong :premises (@p132 @p131) :args (@t134)) % 151.57/151.82 (step @p134 :rule eq-symm :args (@t108 @t46)) % 151.57/151.82 (step @p135 :rule refl :args (@t45)) % 151.57/151.82 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t135)) % 151.57/151.82 (step @p137 :rule nary_cong :premises (@p136 @p133) :args (@t136)) % 151.57/151.82 (step @p138 :rule refl :args (@t137)) % 151.57/151.82 (step @p139 :rule cong :premises (@p138 @p137) :args (@t138)) % 151.57/151.82 (step @p140 :rule refl :args (@t139)) % 151.57/151.82 (step @p141 :rule cong :premises (@p140 @p139) :args ((=> @t139 @t138))) % 151.57/151.82 (assume-push @p375 @t139) % 151.57/151.82 (step @p143 :rule instantiate :premises (@p130) :args ((@list @t46 @t45 @t43 @t108))) % 151.57/151.82 (step-pop @p376 :rule scope :premises (@p143)) % 151.57/151.82 (step @p144 :rule process_scope :premises (@p376) :args (@t138)) % 151.57/151.82 (step @p146 :rule eq_resolve :premises (@p144 @p141)) % 151.57/151.82 (step @p147 :rule implies_elim :premises (@p146)) % 151.57/151.82 (step @p148 :rule chain_m_resolution :premises (@p147 @p130) :args (@t144 @t115 @t145)) % 151.57/151.82 ; trust TRUST PREPROCESS_HO_ELIM % 151.57/151.82 (step @p149 :rule trust :premises () :args ((= @t152 (forall (@list @t146 @t147) (or (not (_ @t125 @t146 @t147)) (_ @t125 @t146 (_ @t97 @t96 @t146))))))) % 151.57/151.82 (step @p150 :rule quant-merge-prenex :args ((= (forall @t9 @t154) @t152))) % 151.57/151.82 (step @p151 :rule refl :args (@t148)) % 151.57/151.82 (step @p152 :rule alpha_equiv :args (@t155 (@list @t149) (@list @t4))) % 151.57/151.82 (step @p153 :rule nary_cong :premises (@p152 @p151) :args (@t156)) % 151.57/151.82 (step @p154 :rule quant-miniscope-or :args ((= @t154 @t156))) % 151.57/151.82 (step @p155 :rule trans :premises (@p154 @p153)) % 151.57/151.82 (step @p156 :rule symm :premises (@p155)) % 151.57/151.82 (step @p157 :rule cong :premises (@p156) :args ((forall @t9 (or @t158 @t148)))) % 151.57/151.82 (step @p158 :rule trans :premises (@p157 @p150)) % 151.57/151.82 (step @p159 :rule refl :args (@t148)) % 151.57/151.82 (step @p160 :rule refl :args (@t3)) % 151.57/151.82 (step @p161 :rule cong :premises (@p160 @p159) :args ((= @t3 @t148))) % 151.57/151.82 (step @p162 :rule symm :premises (@p161)) % 151.57/151.82 (step @p163 :rule eq_resolve :premises (@p160 @p162)) % 151.57/151.82 (step @p164 :rule refl :args (@t158)) % 151.57/151.82 (step @p165 :rule nary_cong :premises (@p164 @p163) :args (@t159)) % 151.57/151.82 (step @p166 :rule cong :premises (@p165) :args ((forall @t9 @t159))) % 151.57/151.82 (step @p167 :rule trans :premises (@p166 @p158)) % 151.57/151.82 (step @p168 :rule bool-double-not-elim :args (@t158)) % 151.57/151.82 (step @p169 :rule nary_cong :premises (@p168 @p160) :args ((or (not @t160) @t3))) % 151.57/151.82 (step @p170 :rule bool-impl-elim :args (@t160 @t3)) % 151.57/151.82 (step @p171 :rule trans :premises (@p170 @p169)) % 151.57/151.82 (step @p172 :rule cong :premises (@p171) :args ((forall @t9 (=> @t160 @t3)))) % 151.57/151.82 (step @p173 :rule trans :premises (@p172 @p167)) % 151.57/151.82 (step @p174 :rule refl :args (@t3)) % 151.57/151.82 (step @p175 :rule refl :args (@t157)) % 151.57/151.82 (step @p176 :rule refl :args (@t5)) % 151.57/151.82 (step @p177 :rule cong :premises (@p176 @p175) :args ((= @t5 @t157))) % 151.57/151.82 (step @p178 :rule symm :premises (@p177)) % 151.57/151.82 (step @p179 :rule eq_resolve :premises (@p176 @p178)) % 151.57/151.82 (step @p180 :rule cong :premises (@p179) :args (@t161)) % 151.57/151.82 (step @p181 :rule cong :premises (@p180) :args (@t162)) % 151.57/151.82 (step @p182 :rule cong :premises (@p181) :args (@t163)) % 151.57/151.82 (step @p183 :rule exists-elim :args ((= @t7 @t163))) % 151.57/151.82 (step @p184 :rule trans :premises (@p183 @p182)) % 151.57/151.82 (step @p185 :rule cong :premises (@p184 @p174) :args (@t8)) % 151.57/151.82 (step @p186 :rule cong :premises (@p185) :args (@t10)) % 151.57/151.82 (step @p187 :rule trans :premises (@p186 @p173)) % 151.57/151.82 (step @p188 :rule trans :premises (@p187 @p149)) % 151.57/151.82 (step @p189 :rule eq_resolve :premises (@p1 @p188)) % 151.57/151.82 (step @p190 :rule instantiate :premises (@p189) :args ((@list @t107 @t43))) % 151.57/151.82 (step @p191 :rule aci_norm :args ((= (and @t133 true) @t133))) % 151.57/151.82 (step @p192 :rule eq-refl :args (@t43)) % 151.57/151.82 (step @p193 :rule nary_cong :premises (@p132 @p192) :args (@t164)) % 151.57/151.82 (step @p194 :rule trans :premises (@p193 @p191)) % 151.57/151.82 (step @p195 :rule eq-symm :args (@t43 @t46)) % 151.57/151.82 (step @p196 :rule nary_cong :premises (@p135 @p195) :args (@t165)) % 151.57/151.82 (step @p197 :rule nary_cong :premises (@p196 @p194) :args (@t166)) % 151.57/151.82 (step @p198 :rule refl :args (@t167)) % 151.57/151.82 (step @p199 :rule cong :premises (@p198 @p197) :args (@t168)) % 151.57/151.82 (step @p200 :rule cong :premises (@p140 @p199) :args ((=> @t139 @t168))) % 151.57/151.82 (assume-push @p377 @t139) % 151.57/151.82 (step @p202 :rule instantiate :premises (@p130) :args ((@list @t46 @t45 @t43 @t43))) % 151.57/151.82 (step-pop @p378 :rule scope :premises (@p202)) % 151.57/151.82 (step @p203 :rule process_scope :premises (@p378) :args (@t168)) % 151.57/151.82 (step @p205 :rule eq_resolve :premises (@p203 @p200)) % 151.57/151.82 (step @p206 :rule implies_elim :premises (@p205)) % 151.57/151.82 (step @p207 :rule chain_m_resolution :premises (@p206 @p130) :args (@t171 @t115 @t145)) % 151.57/151.82 (step @p208 :rule bool-eq-true :args (@t172)) % 151.57/151.82 (step @p209 :rule skolem_intro :args (@t172)) % 151.57/151.82 (step @p210 :rule eq_resolve :premises (@p209 @p208)) % 151.57/151.82 (step @p211 :rule instantiate :premises (@p5) :args ((@list @t46 @t48))) % 151.57/151.82 (step @p212 :rule cnf_or_neg :args (@t72 0)) % 151.57/151.82 (step @p213 :rule chain_m_resolution :premises (@p212 @p92) :args ((not @t71) @t80 @t81)) % 151.57/151.82 (step @p214 :rule cnf_or_pos :args (@t175)) % 151.57/151.82 (step @p215 :rule reordering :premises (@p214) :args ((or @t71 @t174 (not @t175)))) % 151.57/151.82 (step @p216 :rule chain_m_resolution :premises (@p215 @p213 @p211) :args (@t174 @t86 (@list @t71 @t175))) % 151.57/151.82 (step @p217 :rule skolemize :premises (@p216)) % 151.57/151.82 (step @p218 :rule eq-symm :args (@t177 @t178)) % 151.57/151.82 (step @p219 :rule cong :premises (@p106 @p218) :args ((=> @t111 @t179))) % 151.57/151.82 (assume-push @p379 @t111) % 151.57/151.82 (step @p221 :rule instantiate :premises (@p104) :args (@t180)) % 151.57/151.82 (step-pop @p380 :rule scope :premises (@p221)) % 151.57/151.82 (step @p222 :rule process_scope :premises (@p380) :args (@t179)) % 151.57/151.82 (step @p224 :rule eq_resolve :premises (@p222 @p219)) % 151.57/151.82 (step @p225 :rule implies_elim :premises (@p224)) % 151.57/151.82 (step @p226 :rule chain_m_resolution :premises (@p225 @p104) :args (@t181 @t115 @t116)) % 151.57/151.82 (step @p227 :rule refl :args (@t185)) % 151.57/151.82 (step @p228 :rule refl :args (@t184)) % 151.57/151.82 (step @p229 :rule symm :premises (@p209)) % 151.57/151.82 (step @p230 :rule refl :args (@t106)) % 151.57/151.82 (step @p231 :rule cong :premises (@p230 @p229) :args (@t186)) % 151.57/151.82 (step @p232 :rule cong :premises (@p231 @p68) :args (@t187)) % 151.57/151.82 (step @p233 :rule cong :premises (@p232 @p228) :args (@t188)) % 151.57/151.82 (step @p234 :rule cong :premises (@p233 @p227) :args (@t189)) % 151.57/151.82 (step @p235 :rule cong :premises (@p140 @p234) :args ((=> @t139 @t189))) % 151.57/151.82 (step @p236 :rule aci_norm :args ((= (or @t185 false) @t185))) % 151.57/151.82 (step @p237 :rule absorb :args ((= (and false (= @t43 @t184)) false))) % 151.57/151.82 (step @p238 :rule eq-symm :args (@t184 @t43)) % 151.57/151.82 (step @p239 :rule evaluate :args (@t190)) % 151.57/151.82 (step @p240 :rule nary_cong :premises (@p239 @p238) :args (@t191)) % 151.57/151.82 (step @p241 :rule trans :premises (@p240 @p237)) % 151.57/151.82 (step @p242 :rule eq-symm :args (@t184 @t46)) % 151.57/151.82 (step @p243 :rule aci_norm :args ((= @t193 @t192))) % 151.57/151.82 (step @p244 :rule trans :premises (@p243 @p242)) % 151.57/151.82 (step @p245 :rule nary_cong :premises (@p244 @p241) :args (@t194)) % 151.57/151.82 (step @p246 :rule trans :premises (@p245 @p236)) % 151.57/151.82 (step @p247 :rule refl :args (@t188)) % 151.57/151.82 (step @p248 :rule cong :premises (@p247 @p246) :args (@t195)) % 151.57/151.82 (step @p249 :rule cong :premises (@p140 @p248) :args ((=> @t139 @t195))) % 151.57/151.82 (assume-push @p381 @t139) % 151.57/151.82 (step @p251 :rule instantiate :premises (@p130) :args ((@list @t46 true @t43 @t184))) % 151.57/151.82 (step-pop @p382 :rule scope :premises (@p251)) % 151.57/151.82 (step @p252 :rule process_scope :premises (@p382) :args (@t195)) % 151.57/151.82 (step @p254 :rule eq_resolve :premises (@p252 @p249)) % 151.57/151.82 (step @p255 :rule eq_resolve :premises (@p254 @p235)) % 151.57/151.82 (step @p256 :rule implies_elim :premises (@p255)) % 151.57/151.82 (step @p257 :rule chain_m_resolution :premises (@p256 @p130) :args (@t197 @t115 @t145)) % 151.57/151.82 (step @p258 :rule instantiate :premises (@p189) :args ((@list @t183 @t46))) % 151.57/151.82 (step @p259 :rule cong :premises (@p232 @p79) :args (@t198)) % 151.57/151.82 (step @p260 :rule cong :premises (@p140 @p259) :args ((=> @t139 @t198))) % 151.57/151.82 (step @p261 :rule bool-eq-true :args (@t198)) % 151.57/151.82 (step @p262 :rule evaluate :args ((or true false))) % 151.57/151.82 (step @p263 :rule absorb :args ((= (and false @t169) false))) % 151.57/151.82 (step @p264 :rule refl :args (@t169)) % 151.57/151.82 (step @p265 :rule nary_cong :premises (@p239 @p264) :args (@t199)) % 151.57/151.82 (step @p266 :rule trans :premises (@p265 @p263)) % 151.57/151.82 (step @p267 :rule eq-refl :args (@t46)) % 151.57/151.82 (step @p268 :rule aci_norm :args ((= @t201 @t200))) % 151.57/151.82 (step @p269 :rule trans :premises (@p268 @p267)) % 151.57/151.82 (step @p270 :rule nary_cong :premises (@p269 @p266) :args (@t202)) % 151.57/151.82 (step @p271 :rule trans :premises (@p270 @p262)) % 151.57/151.82 (step @p272 :rule refl :args (@t198)) % 151.57/151.82 (step @p273 :rule cong :premises (@p272 @p271) :args (@t203)) % 151.57/151.82 (step @p274 :rule trans :premises (@p273 @p261)) % 151.57/151.82 (step @p275 :rule cong :premises (@p140 @p274) :args ((=> @t139 @t203))) % 151.57/151.82 (assume-push @p383 @t139) % 151.57/151.82 (step @p277 :rule instantiate :premises (@p130) :args ((@list @t46 true @t43 @t46))) % 151.57/151.82 (step-pop @p384 :rule scope :premises (@p277)) % 151.57/151.82 (step @p278 :rule process_scope :premises (@p384) :args (@t203)) % 151.57/151.82 (step @p280 :rule eq_resolve :premises (@p278 @p275)) % 151.57/151.82 (step @p281 :rule eq_resolve :premises (@p280 @p260)) % 151.57/151.82 (step @p282 :rule implies_elim :premises (@p281)) % 151.57/151.82 (step @p283 :rule chain_m_resolution :premises (@p282 @p130) :args (@t204 @t115 @t145)) % 151.57/151.82 (step @p284 :rule cnf_or_pos :args (@t206)) % 151.57/151.82 (step @p285 :rule reordering :premises (@p284) :args ((or @t205 @t196 (not @t206)))) % 151.57/151.82 (step @p286 :rule chain_m_resolution :premises (@p285 @p283 @p258) :args (@t196 @t207 (@list @t204 @t206))) % 151.57/151.82 (step @p287 :rule cnf_equiv_pos1 :args (@t197)) % 151.57/151.82 (step @p288 :rule reordering :premises (@p287) :args ((or (not @t196) @t185 (not @t197)))) % 151.57/151.82 (step @p289 :rule chain_m_resolution :premises (@p288 @p286 @p257) :args (@t185 @t207 (@list @t196 @t197))) % 151.57/151.82 (assume-push @p385 @t45) % 151.57/151.82 (assume-push @p386 @t172) % 151.57/151.82 (assume-push @p387 @t181) % 151.57/151.82 (assume-push @p388 @t185) % 151.57/151.82 (assume-push @p389 @t181) % 151.57/151.82 (assume-push @p390 @t45) % 151.57/151.82 (assume-push @p391 @t172) % 151.57/151.82 (assume-push @p392 @t185) % 151.57/151.82 (step @p221 :rule instantiate :premises (@p104) :args (@t180)) % 151.57/151.82 (step @p298 :rule refl :args (@t176)) % 151.57/151.82 (step @p299 :rule true_intro :premises (@p385)) % 151.57/151.82 (step @p300 :rule symm :premises (@p299)) % 151.57/151.82 (step @p301 :rule trans :premises (@p209 @p300)) % 151.57/151.82 (step @p302 :rule cong :premises (@p230 @p301) :args (@t182)) % 151.57/151.82 (step @p303 :rule cong :premises (@p302 @p68) :args (@t183)) % 151.57/151.82 (step @p304 :rule refl :args (@t96)) % 151.57/151.82 (step @p305 :rule cong :premises (@p304 @p303) :args (@t184)) % 151.57/151.82 (step @p306 :rule trans :premises (@p289 @p305)) % 151.57/151.82 (step @p307 :rule cong :premises (@p306 @p298) :args (@t208)) % 151.57/151.82 (step @p308 :rule trans :premises (@p307 @p221)) % 151.57/151.82 (step-pop @p393 :rule scope :premises (@p308)) % 151.57/151.82 (step-pop @p394 :rule scope :premises (@p393)) % 151.57/151.82 (step-pop @p395 :rule scope :premises (@p394)) % 151.57/151.82 (step-pop @p396 :rule scope :premises (@p395)) % 151.57/151.82 (step @p309 :rule process_scope :premises (@p396) :args (@t209)) % 151.57/151.82 (step @p314 :rule and_intro :premises (@p226 @p385 @p210 @p289)) % 151.57/151.82 (step @p315 :rule modus_ponens :premises (@p314 @p309)) % 151.57/151.82 (step-pop @p397 :rule scope :premises (@p315)) % 151.57/151.82 (step-pop @p398 :rule scope :premises (@p397)) % 151.57/151.82 (step-pop @p399 :rule scope :premises (@p398)) % 151.57/151.82 (step-pop @p400 :rule scope :premises (@p399)) % 151.57/151.82 (step @p316 :rule process_scope :premises (@p400) :args (@t209)) % 151.57/151.82 (step @p321 :rule implies_elim :premises (@p316)) % 151.57/151.82 (step @p322 :rule cnf_and_neg :args (@t210)) % 151.57/151.82 (step @p323 :rule resolution :premises (@p322 @p321) :args (true @t210)) % 151.57/151.82 (step @p324 :rule reordering :premises (@p323) :args ((or @t133 (not @t172) @t209 (not @t181) (not @t185)))) % 151.57/151.82 (step @p325 :rule chain_m_resolution :premises (@p324 @p289 @p226 @p217 @p210) :args (@t133 (@list false false true false) (@list @t185 @t181 @t209 @t172))) % 151.57/151.82 (step @p326 :rule bool-double-not-elim :args (@t45)) % 151.57/151.82 (step @p327 :rule refl :args (@t170)) % 151.57/151.82 (step @p328 :rule nary_cong :premises (@p327 @p326) :args ((or @t170 (not @t133)))) % 151.57/151.82 (step @p329 :rule cnf_or_neg :args (@t170 1)) % 151.57/151.82 (step @p330 :rule eq_resolve :premises (@p329 @p328)) % 151.57/151.82 (step @p331 :rule reordering :premises (@p330) :args ((or @t45 @t170))) % 151.57/151.82 (step @p332 :rule chain_m_resolution :premises (@p331 @p325) :args (@t170 @t80 @t211)) % 151.57/151.82 (step @p333 :rule cnf_equiv_pos2 :args (@t171)) % 151.57/151.82 (step @p334 :rule reordering :premises (@p333) :args ((or @t167 (not @t170) (not @t171)))) % 151.57/151.82 (step @p335 :rule chain_m_resolution :premises (@p334 @p332 @p207) :args (@t167 @t207 (@list @t170 @t171))) % 151.57/151.82 (step @p336 :rule cnf_or_pos :args (@t213)) % 151.57/151.82 (step @p337 :rule reordering :premises (@p336) :args ((or @t212 @t137 (not @t213)))) % 151.57/151.82 (step @p338 :rule chain_m_resolution :premises (@p337 @p335 @p190) :args (@t137 @t207 (@list @t167 @t213))) % 151.57/151.82 (step @p339 :rule cnf_equiv_pos1 :args (@t144)) % 151.57/151.82 (step @p340 :rule reordering :premises (@p339) :args ((or (not @t137) @t143 (not @t144)))) % 151.57/151.82 (step @p341 :rule chain_m_resolution :premises (@p340 @p338 @p148) :args (@t143 @t207 (@list @t137 @t144))) % 151.57/151.82 (step @p342 :rule cnf_and_pos :args (@t142 0)) % 151.57/151.82 (step @p343 :rule reordering :premises (@p342) :args ((or @t45 @t214))) % 151.57/151.82 (step @p344 :rule chain_m_resolution :premises (@p343 @p325) :args (@t214 @t80 @t211)) % 151.57/151.82 (step @p345 :rule cnf_or_pos :args (@t143)) % 151.57/151.82 (step @p346 :rule reordering :premises (@p345) :args ((or @t142 @t141 (not @t143)))) % 151.57/151.82 (step @p347 :rule chain_m_resolution :premises (@p346 @p344 @p341) :args (@t141 @t86 (@list @t142 @t143))) % 151.57/151.83 (step @p348 :rule cnf_and_pos :args (@t141 1)) % 151.57/151.83 (step @p349 :rule reordering :premises (@p348) :args ((or @t140 (not @t141)))) % 151.57/151.83 (step @p350 :rule chain_m_resolution :premises (@p349 @p347) :args (@t140 @t115 (@list @t141))) % 151.57/151.83 (assume-push @p401 @t114) % 151.57/151.83 (assume-push @p402 @t140) % 151.57/151.83 (assume-push @p403 @t114) % 151.57/151.83 (assume-push @p404 @t140) % 151.57/151.83 (step @p109 :rule instantiate :premises (@p104) :args (@t113)) % 151.57/151.83 (step @p355 :rule refl :args (@t105)) % 151.57/151.83 (step @p356 :rule cong :premises (@p402 @p355) :args (@t215)) % 151.57/151.83 (step @p357 :rule trans :premises (@p356 @p109)) % 151.57/151.83 (step-pop @p405 :rule scope :premises (@p357)) % 151.57/151.83 (step-pop @p406 :rule scope :premises (@p405)) % 151.57/151.83 (step @p358 :rule process_scope :premises (@p406) :args (@t216)) % 151.57/151.83 (step @p361 :rule and_intro :premises (@p114 @p402)) % 151.57/151.83 (step @p362 :rule modus_ponens :premises (@p361 @p358)) % 151.57/151.83 (step-pop @p407 :rule scope :premises (@p362)) % 151.57/151.83 (step-pop @p408 :rule scope :premises (@p407)) % 151.57/151.83 (step @p363 :rule process_scope :premises (@p408) :args (@t216)) % 151.57/151.83 (step @p366 :rule implies_elim :premises (@p363)) % 151.57/151.83 (step @p367 :rule cnf_and_neg :args (@t217)) % 151.57/151.83 (step @p368 :rule resolution :premises (@p367 @p366) :args (true @t217)) % 151.57/151.83 (step @p369 :rule reordering :premises (@p368) :args ((or @t216 (not @t114) (not @t140)))) % 151.57/151.83 (step @p370 false :rule chain_m_resolution :premises (@p369 @p350 @p114 @p98) :args (false (@list false false true) (@list @t140 @t114 @t216))) % 151.57/151.83 ) % 151.57/151.83 % SZS output end Proof % 151.57/151.83 % cvc5 exiting %------------------------------------------------------------------------------