%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO388^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 09:12:33 AM UTC 2026 % Result : Theorem 160.23s 160.58s % Output : Proof 160.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO388^5 : TPTP v9.2.1. Released v4.0.0. % 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 : n008.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 : Wed Jun 3 00:06:33 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 160.23/160.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 160.23/160.58 --- 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... % 160.23/160.58 --- 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... % 160.23/160.58 --- Run --ho-elim --full-saturate-quant at 18s... % 160.23/160.58 % SZS status Theorem % 160.23/160.58 % SZS output start Proof % 160.23/160.58 ( % 160.23/160.58 (declare-sort $$unsorted 0) % 160.23/160.58 (declare-const tptp.cQ_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 160.23/160.58 (declare-const tptp.cP_1 (-> $$unsorted $$unsorted Bool)) % 160.23/160.58 (declare-const tptp.cQ_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 160.23/160.58 (declare-const tptp.cQ_6 (-> $$unsorted $$unsorted $$unsorted Bool)) % 160.23/160.58 (declare-const tptp.cQ_3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 160.23/160.58 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 160.23/160.58 (declare-const tptp.cP_5 (-> $$unsorted $$unsorted Bool)) % 160.23/160.58 (declare-const tptp.cQ_5 (-> $$unsorted $$unsorted $$unsorted Bool)) % 160.23/160.58 (declare-const tptp.d $$unsorted) % 160.23/160.58 (declare-const tptp.c $$unsorted) % 160.23/160.58 (declare-const tptp.b $$unsorted) % 160.23/160.58 (declare-const tptp.a $$unsorted) % 160.23/160.58 (declare-const tptp.cP_4 (-> $$unsorted $$unsorted Bool)) % 160.23/160.58 (declare-const tptp.cQ_4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 160.23/160.58 (declare-const tptp.cP_3 (-> $$unsorted $$unsorted Bool)) % 160.23/160.58 (declare-const tptp.cP_2 (-> $$unsorted $$unsorted Bool)) % 160.23/160.58 (define @t1 () (@var "Xz" $$unsorted)) % 160.23/160.58 (define @t2 () (@var "Xy" $$unsorted)) % 160.23/160.58 (define @t3 () (@var "Xx" $$unsorted)) % 160.23/160.58 (define @t4 () (_ (_ (_ tptp.cQ_6 @t3) @t2) @t1)) % 160.23/160.58 (define @t5 () (not @t4)) % 160.23/160.58 (define @t6 () (@list @t3 @t2 @t1)) % 160.23/160.58 (define @t7 () (forall @t6 @t5)) % 160.23/160.58 (define @t8 () (@var "Xw" $$unsorted)) % 160.23/160.58 (define @t9 () (@var "Xv" $$unsorted)) % 160.23/160.58 (define @t10 () (@var "Xu" $$unsorted)) % 160.23/160.58 (define @t11 () (_ (_ (_ tptp.cQ_6 @t10) @t9) @t8)) % 160.23/160.58 (define @t12 () (_ tptp.f @t1)) % 160.23/160.58 (define @t13 () (_ (_ tptp.cP_5 @t12) @t8)) % 160.23/160.58 (define @t14 () (not @t13)) % 160.23/160.58 (define @t15 () (_ tptp.f @t2)) % 160.23/160.58 (define @t16 () (_ (_ tptp.cP_5 @t15) @t9)) % 160.23/160.58 (define @t17 () (not @t16)) % 160.23/160.58 (define @t18 () (_ tptp.f @t3)) % 160.23/160.58 (define @t19 () (_ tptp.cP_5 @t18)) % 160.23/160.58 (define @t20 () (_ @t19 @t10)) % 160.23/160.58 (define @t21 () (not @t20)) % 160.23/160.58 (define @t22 () (_ (_ (_ tptp.cQ_5 @t3) @t2) @t1)) % 160.23/160.58 (define @t23 () (not @t22)) % 160.23/160.58 (define @t24 () (or @t23 @t21 @t17 @t14 @t11)) % 160.23/160.58 (define @t25 () (@list @t3 @t2 @t1 @t10 @t9 @t8)) % 160.23/160.58 (define @t26 () (forall @t25 @t24)) % 160.23/160.58 (define @t27 () (_ @t19 @t2)) % 160.23/160.58 (define @t28 () (_ (_ tptp.cP_5 @t3) @t2)) % 160.23/160.58 (define @t29 () (not @t28)) % 160.23/160.58 (define @t30 () (or @t29 @t27)) % 160.23/160.58 (define @t31 () (@list @t3 @t2)) % 160.23/160.58 (define @t32 () (forall @t31 @t30)) % 160.23/160.58 (define @t33 () (_ (_ tptp.cP_5 tptp.d) @t3)) % 160.23/160.58 (define @t34 () (@list @t3)) % 160.23/160.58 (define @t35 () (forall @t34 @t33)) % 160.23/160.58 (define @t36 () (_ (_ tptp.cP_5 tptp.c) tptp.c)) % 160.23/160.58 (define @t37 () (_ (_ tptp.cP_5 tptp.b) tptp.b)) % 160.23/160.58 (define @t38 () (_ (_ tptp.cP_5 tptp.a) tptp.a)) % 160.23/160.58 (define @t39 () (_ (_ (_ tptp.cQ_5 @t10) @t9) @t8)) % 160.23/160.58 (define @t40 () (_ (_ tptp.cP_4 @t12) @t8)) % 160.23/160.58 (define @t41 () (not @t40)) % 160.23/160.58 (define @t42 () (_ (_ tptp.cP_4 @t15) @t9)) % 160.23/160.58 (define @t43 () (not @t42)) % 160.23/160.58 (define @t44 () (_ tptp.cP_4 @t18)) % 160.23/160.58 (define @t45 () (_ @t44 @t10)) % 160.23/160.58 (define @t46 () (not @t45)) % 160.23/160.58 (define @t47 () (_ (_ (_ tptp.cQ_4 @t3) @t2) @t1)) % 160.23/160.58 (define @t48 () (not @t47)) % 160.23/160.58 (define @t49 () (or @t48 @t46 @t43 @t41 @t39)) % 160.23/160.58 (define @t50 () (forall @t25 @t49)) % 160.23/160.58 (define @t51 () (_ @t44 @t2)) % 160.23/160.58 (define @t52 () (_ (_ tptp.cP_4 @t3) @t2)) % 160.23/160.58 (define @t53 () (not @t52)) % 160.23/160.58 (define @t54 () (or @t53 @t51)) % 160.23/160.58 (define @t55 () (forall @t31 @t54)) % 160.23/160.58 (define @t56 () (_ (_ tptp.cP_4 tptp.d) @t3)) % 160.23/160.58 (define @t57 () (forall @t34 @t56)) % 160.23/160.58 (define @t58 () (_ (_ tptp.cP_4 tptp.c) tptp.c)) % 160.23/160.58 (define @t59 () (_ (_ tptp.cP_4 tptp.b) tptp.b)) % 160.23/160.58 (define @t60 () (_ (_ tptp.cP_4 tptp.a) tptp.a)) % 160.23/160.58 (define @t61 () (_ (_ (_ tptp.cQ_4 @t10) @t9) @t8)) % 160.23/160.58 (define @t62 () (_ (_ tptp.cP_3 @t12) @t8)) % 160.23/160.58 (define @t63 () (not @t62)) % 160.23/160.58 (define @t64 () (_ (_ tptp.cP_3 @t15) @t9)) % 160.23/160.58 (define @t65 () (not @t64)) % 160.23/160.58 (define @t66 () (_ tptp.cP_3 @t18)) % 160.23/160.58 (define @t67 () (_ @t66 @t10)) % 160.23/160.58 (define @t68 () (not @t67)) % 160.23/160.58 (define @t69 () (_ (_ (_ tptp.cQ_3 @t3) @t2) @t1)) % 160.23/160.58 (define @t70 () (not @t69)) % 160.23/160.58 (define @t71 () (or @t70 @t68 @t65 @t63 @t61)) % 160.23/160.58 (define @t72 () (forall @t25 @t71)) % 160.23/160.58 (define @t73 () (_ @t66 @t2)) % 160.23/160.58 (define @t74 () (_ (_ tptp.cP_3 @t3) @t2)) % 160.23/160.58 (define @t75 () (not @t74)) % 160.23/160.58 (define @t76 () (or @t75 @t73)) % 160.23/160.58 (define @t77 () (forall @t31 @t76)) % 160.23/160.58 (define @t78 () (_ (_ tptp.cP_3 tptp.d) @t3)) % 160.23/160.58 (define @t79 () (forall @t34 @t78)) % 160.23/160.58 (define @t80 () (_ (_ tptp.cP_3 tptp.c) tptp.c)) % 160.23/160.58 (define @t81 () (_ (_ tptp.cP_3 tptp.b) tptp.b)) % 160.23/160.58 (define @t82 () (_ (_ tptp.cP_3 tptp.a) tptp.a)) % 160.23/160.58 (define @t83 () (_ (_ (_ tptp.cQ_3 @t10) @t9) @t8)) % 160.23/160.58 (define @t84 () (_ (_ tptp.cP_2 @t12) @t8)) % 160.23/160.58 (define @t85 () (not @t84)) % 160.23/160.58 (define @t86 () (_ (_ tptp.cP_2 @t15) @t9)) % 160.23/160.58 (define @t87 () (not @t86)) % 160.23/160.58 (define @t88 () (_ tptp.cP_2 @t18)) % 160.23/160.58 (define @t89 () (_ @t88 @t10)) % 160.23/160.58 (define @t90 () (not @t89)) % 160.23/160.58 (define @t91 () (_ (_ (_ tptp.cQ_2 @t3) @t2) @t1)) % 160.23/160.58 (define @t92 () (not @t91)) % 160.23/160.58 (define @t93 () (or @t92 @t90 @t87 @t85 @t83)) % 160.23/160.58 (define @t94 () (forall @t25 @t93)) % 160.23/160.58 (define @t95 () (_ @t88 @t2)) % 160.23/160.58 (define @t96 () (_ (_ tptp.cP_2 @t3) @t2)) % 160.23/160.58 (define @t97 () (not @t96)) % 160.23/160.58 (define @t98 () (or @t97 @t95)) % 160.23/160.58 (define @t99 () (forall @t31 @t98)) % 160.23/160.58 (define @t100 () (_ (_ tptp.cP_2 tptp.d) @t3)) % 160.23/160.58 (define @t101 () (forall @t34 @t100)) % 160.23/160.58 (define @t102 () (_ (_ tptp.cP_2 tptp.c) tptp.c)) % 160.23/160.58 (define @t103 () (_ (_ tptp.cP_2 tptp.b) tptp.b)) % 160.23/160.58 (define @t104 () (_ (_ tptp.cP_2 tptp.a) tptp.a)) % 160.23/160.58 (define @t105 () (_ (_ (_ tptp.cQ_2 @t10) @t9) @t8)) % 160.23/160.58 (define @t106 () (_ (_ tptp.cP_1 @t12) @t8)) % 160.23/160.58 (define @t107 () (not @t106)) % 160.23/160.58 (define @t108 () (_ (_ tptp.cP_1 @t15) @t9)) % 160.23/160.58 (define @t109 () (not @t108)) % 160.23/160.58 (define @t110 () (_ tptp.cP_1 @t18)) % 160.23/160.58 (define @t111 () (_ @t110 @t10)) % 160.23/160.58 (define @t112 () (not @t111)) % 160.23/160.58 (define @t113 () (_ (_ (_ tptp.cQ_1 @t3) @t2) @t1)) % 160.23/160.58 (define @t114 () (not @t113)) % 160.23/160.58 (define @t115 () (or @t114 @t112 @t109 @t107 @t105)) % 160.23/160.58 (define @t116 () (forall @t25 @t115)) % 160.23/160.58 (define @t117 () (_ @t110 @t2)) % 160.23/160.58 (define @t118 () (_ (_ tptp.cP_1 @t3) @t2)) % 160.23/160.58 (define @t119 () (not @t118)) % 160.23/160.58 (define @t120 () (or @t119 @t117)) % 160.23/160.58 (define @t121 () (forall @t31 @t120)) % 160.23/160.58 (define @t122 () (_ (_ tptp.cP_1 tptp.d) @t3)) % 160.23/160.58 (define @t123 () (forall @t34 @t122)) % 160.23/160.58 (define @t124 () (_ (_ tptp.cP_1 tptp.c) tptp.c)) % 160.23/160.58 (define @t125 () (_ (_ tptp.cP_1 tptp.b) tptp.b)) % 160.23/160.58 (define @t126 () (_ (_ tptp.cP_1 tptp.a) tptp.a)) % 160.23/160.58 (define @t127 () (_ (_ (_ tptp.cQ_1 tptp.a) tptp.b) tptp.c)) % 160.23/160.58 (define @t128 () (and @t127 @t126 @t125 @t124 @t123 @t121 @t116 @t104 @t103 @t102 @t101 @t99 @t94 @t82 @t81 @t80 @t79 @t77 @t72 @t60 @t59 @t58 @t57 @t55 @t50 @t38 @t37 @t36 @t35 @t32 @t26 @t7)) % 160.23/160.58 (define @t129 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 160.23/160.58 (define @t130 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))) % 160.23/160.58 (define @t131 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 160.23/160.58 (define @t132 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 160.23/160.58 (define @t133 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 160.23/160.58 (define @t134 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 160.23/160.58 (define @t135 () (_ @t134 @t133 @t1)) % 160.23/160.58 (define @t136 () (@const 6 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 160.23/160.58 (define @t137 () (_ @t134 @t133 @t2)) % 160.23/160.58 (define @t138 () (_ @t134 @t133 @t3)) % 160.23/160.58 (define @t139 () (_ @t131 @t136 @t138)) % 160.23/160.58 (define @t140 () (@const 7 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 160.23/160.58 (define @t141 () (_ @t132 (_ @t131 @t136 tptp.c) tptp.c)) % 160.23/160.58 (define @t142 () (_ @t132 (_ @t131 @t136 tptp.b) tptp.b)) % 160.23/160.58 (define @t143 () (_ @t132 (_ @t131 @t136 tptp.a) tptp.a)) % 160.23/160.58 (define @t144 () (@const 8 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 160.23/160.58 (define @t145 () (_ @t131 @t144 @t138)) % 160.23/160.58 (define @t146 () (@const 9 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 160.23/160.58 (define @t147 () (forall @t25 (or (not (_ @t132 (_ @t131 (_ @t130 @t146 @t3) @t2) @t1)) (not (_ @t132 @t145 @t10)) (not (_ @t132 (_ @t131 @t144 @t137) @t9)) (not (_ @t132 (_ @t131 @t144 @t135) @t8)) (_ @t132 (_ @t131 (_ @t130 @t140 @t10) @t9) @t8)))) % 160.23/160.58 (define @t148 () (_ @t132 (_ @t131 @t144 tptp.c) tptp.c)) % 160.23/160.58 (define @t149 () (_ @t132 (_ @t131 @t144 tptp.b) tptp.b)) % 160.23/160.58 (define @t150 () (_ @t132 (_ @t131 @t144 tptp.a) tptp.a)) % 160.23/160.58 (define @t151 () (@const 10 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 160.23/160.58 (define @t152 () (_ @t131 @t151 @t138)) % 160.23/160.58 (define @t153 () (@const 11 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 160.23/160.58 (define @t154 () (_ @t132 (_ @t131 @t151 tptp.c) tptp.c)) % 160.23/160.58 (define @t155 () (_ @t132 (_ @t131 @t151 tptp.b) tptp.b)) % 160.23/160.58 (define @t156 () (_ @t132 (_ @t131 @t151 tptp.a) tptp.a)) % 160.23/160.58 (define @t157 () (@const 12 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 160.23/160.58 (define @t158 () (_ @t131 @t157 @t138)) % 160.23/160.58 (define @t159 () (@const 13 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 160.23/160.58 (define @t160 () (_ @t132 (_ @t131 @t157 tptp.c) tptp.c)) % 160.23/160.58 (define @t161 () (_ @t132 (_ @t131 @t157 tptp.b) tptp.b)) % 160.23/160.58 (define @t162 () (_ @t132 (_ @t131 @t157 tptp.a) tptp.a)) % 160.23/160.58 (define @t163 () (@const 14 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 160.23/160.58 (define @t164 () (_ @t131 @t163 @t138)) % 160.23/160.58 (define @t165 () (@const 15 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 160.23/160.58 (define @t166 () (_ @t132 (_ @t131 @t163 tptp.c) tptp.c)) % 160.23/160.58 (define @t167 () (_ @t132 (_ @t131 @t163 tptp.b) tptp.b)) % 160.23/160.58 (define @t168 () (_ @t132 (_ @t131 @t163 tptp.a) tptp.a)) % 160.23/160.58 (define @t169 () (_ @t132 (_ @t131 (_ @t130 @t165 tptp.a) tptp.b) tptp.c)) % 160.23/160.58 (define @t170 () (tptp.cQ_6 @t3 @t2 @t1)) % 160.23/160.58 (define @t171 () (tptp.cQ_6 @t10 @t9 @t8)) % 160.23/160.58 (define @t172 () (tptp.f @t1)) % 160.23/160.58 (define @t173 () (tptp.cP_5 @t172 @t8)) % 160.23/160.58 (define @t174 () (tptp.f @t2)) % 160.23/160.58 (define @t175 () (tptp.cP_5 @t174 @t9)) % 160.23/160.58 (define @t176 () (tptp.f @t3)) % 160.23/160.58 (define @t177 () (tptp.cP_5 @t176 @t10)) % 160.23/160.58 (define @t178 () (tptp.cQ_5 @t3 @t2 @t1)) % 160.23/160.58 (define @t179 () (tptp.cP_5 @t176 @t2)) % 160.23/160.58 (define @t180 () (tptp.cP_5 @t3 @t2)) % 160.23/160.58 (define @t181 () (tptp.cP_5 tptp.d @t3)) % 160.23/160.58 (define @t182 () (tptp.cQ_5 @t10 @t9 @t8)) % 160.23/160.58 (define @t183 () (tptp.cP_4 @t172 @t8)) % 160.23/160.58 (define @t184 () (tptp.cP_4 @t174 @t9)) % 160.23/160.58 (define @t185 () (tptp.cP_4 @t176 @t10)) % 160.23/160.58 (define @t186 () (tptp.cQ_4 @t3 @t2 @t1)) % 160.23/160.58 (define @t187 () (tptp.cP_4 @t176 @t2)) % 160.23/160.58 (define @t188 () (tptp.cP_4 @t3 @t2)) % 160.23/160.58 (define @t189 () (tptp.cP_4 tptp.d @t3)) % 160.23/160.58 (define @t190 () (tptp.cQ_4 @t10 @t9 @t8)) % 160.23/160.58 (define @t191 () (tptp.cP_3 @t172 @t8)) % 160.23/160.58 (define @t192 () (tptp.cP_3 @t174 @t9)) % 160.23/160.58 (define @t193 () (tptp.cP_3 @t176 @t10)) % 160.23/160.58 (define @t194 () (tptp.cQ_3 @t3 @t2 @t1)) % 160.23/160.58 (define @t195 () (tptp.cP_3 @t176 @t2)) % 160.23/160.58 (define @t196 () (tptp.cP_3 @t3 @t2)) % 160.23/160.58 (define @t197 () (tptp.cP_3 tptp.d @t3)) % 160.23/160.58 (define @t198 () (tptp.cQ_3 @t10 @t9 @t8)) % 160.23/160.58 (define @t199 () (tptp.cP_2 @t172 @t8)) % 160.23/160.58 (define @t200 () (tptp.cP_2 @t174 @t9)) % 160.23/160.58 (define @t201 () (tptp.cP_2 @t176 @t10)) % 160.23/160.58 (define @t202 () (tptp.cQ_2 @t3 @t2 @t1)) % 160.23/160.58 (define @t203 () (tptp.cP_2 @t176 @t2)) % 160.23/160.58 (define @t204 () (tptp.cP_2 @t3 @t2)) % 160.23/160.58 (define @t205 () (tptp.cP_2 tptp.d @t3)) % 160.23/160.58 (define @t206 () (tptp.cQ_2 @t10 @t9 @t8)) % 160.23/160.58 (define @t207 () (tptp.cP_1 @t172 @t8)) % 160.23/160.58 (define @t208 () (tptp.cP_1 @t174 @t9)) % 160.23/160.58 (define @t209 () (tptp.cP_1 @t176 @t10)) % 160.23/160.58 (define @t210 () (tptp.cQ_1 @t3 @t2 @t1)) % 160.23/160.58 (define @t211 () (tptp.cP_1 @t176 @t2)) % 160.23/160.58 (define @t212 () (tptp.cP_1 @t3 @t2)) % 160.23/160.58 (define @t213 () (tptp.cP_1 tptp.d @t3)) % 160.23/160.58 (define @t214 () (_ tptp.cP_5 @t176)) % 160.23/160.58 (define @t215 () (_ tptp.cP_4 @t176)) % 160.23/160.58 (define @t216 () (_ tptp.cP_3 @t176)) % 160.23/160.58 (define @t217 () (_ tptp.cP_2 @t176)) % 160.23/160.58 (define @t218 () (_ tptp.cP_1 @t176)) % 160.23/160.58 (define @t219 () (@list tptp.c tptp.c)) % 160.23/160.58 (define @t220 () (_ @t134 @t133 tptp.c)) % 160.23/160.58 (define @t221 () (_ @t132 (_ @t131 @t144 @t220) tptp.c)) % 160.23/160.58 (define @t222 () (not @t148)) % 160.23/160.58 (define @t223 () (or @t222 @t221)) % 160.23/160.58 (define @t224 () (@list false false)) % 160.23/160.58 (define @t225 () (@list tptp.a tptp.b tptp.c tptp.a tptp.b tptp.c)) % 160.23/160.58 (define @t226 () (_ @t132 (_ @t131 @t136 @t220) tptp.c)) % 160.23/160.58 (define @t227 () (not @t141)) % 160.23/160.58 (define @t228 () (or @t227 @t226)) % 160.23/160.58 (define @t229 () (@list tptp.b tptp.b)) % 160.23/160.58 (define @t230 () (_ @t134 @t133 tptp.b)) % 160.23/160.58 (define @t231 () (_ @t132 (_ @t131 @t136 @t230) tptp.b)) % 160.23/160.58 (define @t232 () (not @t142)) % 160.23/160.58 (define @t233 () (or @t232 @t231)) % 160.23/160.58 (define @t234 () (@list tptp.a tptp.a)) % 160.23/160.58 (define @t235 () (_ @t134 @t133 tptp.a)) % 160.23/160.58 (define @t236 () (_ @t132 (_ @t131 @t136 @t235) tptp.a)) % 160.23/160.58 (define @t237 () (not @t143)) % 160.23/160.58 (define @t238 () (or @t237 @t236)) % 160.23/160.58 (define @t239 () (_ @t132 (_ @t131 (_ @t130 @t129 tptp.a) tptp.b) tptp.c)) % 160.23/160.58 (define @t240 () (not @t226)) % 160.23/160.58 (define @t241 () (not @t231)) % 160.23/160.58 (define @t242 () (not @t236)) % 160.23/160.58 (define @t243 () (_ @t132 (_ @t131 (_ @t130 @t140 tptp.a) tptp.b) tptp.c)) % 160.23/160.58 (define @t244 () (not @t243)) % 160.23/160.58 (define @t245 () (or @t244 @t242 @t241 @t240 @t239)) % 160.23/160.58 (define @t246 () (@list false false false true false)) % 160.23/160.58 (define @t247 () (_ @t132 (_ @t131 @t151 @t220) tptp.c)) % 160.23/160.58 (define @t248 () (not @t154)) % 160.23/160.58 (define @t249 () (or @t248 @t247)) % 160.23/160.58 (define @t250 () (_ @t132 (_ @t131 @t157 @t220) tptp.c)) % 160.23/160.58 (define @t251 () (not @t160)) % 160.23/160.58 (define @t252 () (or @t251 @t250)) % 160.23/160.58 (define @t253 () (_ @t132 (_ @t131 @t163 @t220) tptp.c)) % 160.23/160.58 (define @t254 () (not @t166)) % 160.23/160.58 (define @t255 () (or @t254 @t253)) % 160.23/160.58 (define @t256 () (_ @t132 (_ @t131 @t163 @t230) tptp.b)) % 160.23/160.58 (define @t257 () (not @t167)) % 160.23/160.58 (define @t258 () (or @t257 @t256)) % 160.23/160.58 (define @t259 () (_ @t132 (_ @t131 @t163 @t235) tptp.a)) % 160.23/160.58 (define @t260 () (not @t168)) % 160.23/160.58 (define @t261 () (or @t260 @t259)) % 160.23/160.58 (define @t262 () (_ @t132 (_ @t131 (_ @t130 @t159 tptp.a) tptp.b) tptp.c)) % 160.23/160.58 (define @t263 () (not @t253)) % 160.23/160.58 (define @t264 () (not @t256)) % 160.23/160.58 (define @t265 () (not @t259)) % 160.23/160.58 (define @t266 () (not @t169)) % 160.23/160.58 (define @t267 () (or @t266 @t265 @t264 @t263 @t262)) % 160.23/160.58 (define @t268 () (@list false false false false false)) % 160.23/160.58 (define @t269 () (_ @t132 (_ @t131 @t157 @t230) tptp.b)) % 160.23/160.58 (define @t270 () (not @t161)) % 160.23/160.58 (define @t271 () (or @t270 @t269)) % 160.23/160.58 (define @t272 () (_ @t132 (_ @t131 @t157 @t235) tptp.a)) % 160.23/160.58 (define @t273 () (not @t162)) % 160.23/160.58 (define @t274 () (or @t273 @t272)) % 160.23/160.58 (define @t275 () (_ @t132 (_ @t131 (_ @t130 @t153 tptp.a) tptp.b) tptp.c)) % 160.23/160.58 (define @t276 () (not @t250)) % 160.23/160.58 (define @t277 () (not @t269)) % 160.23/160.58 (define @t278 () (not @t272)) % 160.23/160.58 (define @t279 () (not @t262)) % 160.23/160.58 (define @t280 () (or @t279 @t278 @t277 @t276 @t275)) % 160.23/160.58 (define @t281 () (_ @t132 (_ @t131 @t151 @t230) tptp.b)) % 160.23/160.58 (define @t282 () (not @t155)) % 160.23/160.58 (define @t283 () (or @t282 @t281)) % 160.23/160.58 (define @t284 () (_ @t132 (_ @t131 @t151 @t235) tptp.a)) % 160.23/160.58 (define @t285 () (not @t156)) % 160.23/160.58 (define @t286 () (or @t285 @t284)) % 160.23/160.58 (define @t287 () (_ @t132 (_ @t131 (_ @t130 @t146 tptp.a) tptp.b) tptp.c)) % 160.23/160.58 (define @t288 () (not @t247)) % 160.23/160.58 (define @t289 () (not @t281)) % 160.23/160.58 (define @t290 () (not @t284)) % 160.23/160.58 (define @t291 () (not @t275)) % 160.23/160.58 (define @t292 () (or @t291 @t290 @t289 @t288 @t287)) % 160.23/160.58 (define @t293 () (_ @t132 (_ @t131 @t144 @t230) tptp.b)) % 160.23/160.58 (define @t294 () (not @t149)) % 160.23/160.58 (define @t295 () (or @t294 @t293)) % 160.23/160.58 (define @t296 () (_ @t132 (_ @t131 @t144 @t235) tptp.a)) % 160.23/160.58 (define @t297 () (not @t150)) % 160.23/160.58 (define @t298 () (or @t297 @t296)) % 160.23/160.58 (define @t299 () (not @t221)) % 160.23/160.58 (define @t300 () (not @t293)) % 160.23/160.58 (define @t301 () (not @t296)) % 160.23/160.58 (define @t302 () (not @t287)) % 160.23/160.58 (define @t303 () (or @t302 @t301 @t300 @t299 @t243)) % 160.23/160.58 (define @t304 () (not @t303)) % 160.23/160.58 (assume @p1 (not (not @t128))) % 160.23/160.58 (assume @p2 true) % 160.23/160.58 ; WARNING: add trust step for TRUST % 160.23/160.58 ; trust TRUST PREPROCESS_HO_ELIM % 160.23/160.58 (step @p3 :rule trust :premises () :args ((= (and @t127 @t126 @t125 @t124 (forall @t34 @t213) (forall @t31 (or (not @t212) @t211)) (forall @t25 (or (not @t210) (not @t209) (not @t208) (not @t207) @t206)) @t104 @t103 @t102 (forall @t34 @t205) (forall @t31 (or (not @t204) @t203)) (forall @t25 (or (not @t202) (not @t201) (not @t200) (not @t199) @t198)) @t82 @t81 @t80 (forall @t34 @t197) (forall @t31 (or (not @t196) @t195)) (forall @t25 (or (not @t194) (not @t193) (not @t192) (not @t191) @t190)) @t60 @t59 @t58 (forall @t34 @t189) (forall @t31 (or (not @t188) @t187)) (forall @t25 (or (not @t186) (not @t185) (not @t184) (not @t183) @t182)) @t38 @t37 @t36 (forall @t34 @t181) (forall @t31 (or (not @t180) @t179)) (forall @t25 (or (not @t178) (not @t177) (not @t175) (not @t173) @t171)) (forall @t6 (not @t170))) (and @t169 @t168 @t167 @t166 (forall @t34 (_ @t132 (_ @t131 @t163 tptp.d) @t3)) (forall @t31 (or (not (_ @t132 (_ @t131 @t163 @t3) @t2)) (_ @t132 @t164 @t2))) (forall @t25 (or (not (_ @t132 (_ @t131 (_ @t130 @t165 @t3) @t2) @t1)) (not (_ @t132 @t164 @t10)) (not (_ @t132 (_ @t131 @t163 @t137) @t9)) (not (_ @t132 (_ @t131 @t163 @t135) @t8)) (_ @t132 (_ @t131 (_ @t130 @t159 @t10) @t9) @t8))) @t162 @t161 @t160 (forall @t34 (_ @t132 (_ @t131 @t157 tptp.d) @t3)) (forall @t31 (or (not (_ @t132 (_ @t131 @t157 @t3) @t2)) (_ @t132 @t158 @t2))) (forall @t25 (or (not (_ @t132 (_ @t131 (_ @t130 @t159 @t3) @t2) @t1)) (not (_ @t132 @t158 @t10)) (not (_ @t132 (_ @t131 @t157 @t137) @t9)) (not (_ @t132 (_ @t131 @t157 @t135) @t8)) (_ @t132 (_ @t131 (_ @t130 @t153 @t10) @t9) @t8))) @t156 @t155 @t154 (forall @t34 (_ @t132 (_ @t131 @t151 tptp.d) @t3)) (forall @t31 (or (not (_ @t132 (_ @t131 @t151 @t3) @t2)) (_ @t132 @t152 @t2))) (forall @t25 (or (not (_ @t132 (_ @t131 (_ @t130 @t153 @t3) @t2) @t1)) (not (_ @t132 @t152 @t10)) (not (_ @t132 (_ @t131 @t151 @t137) @t9)) (not (_ @t132 (_ @t131 @t151 @t135) @t8)) (_ @t132 (_ @t131 (_ @t130 @t146 @t10) @t9) @t8))) @t150 @t149 @t148 (forall @t34 (_ @t132 (_ @t131 @t144 tptp.d) @t3)) (forall @t31 (or (not (_ @t132 (_ @t131 @t144 @t3) @t2)) (_ @t132 @t145 @t2))) @t147 @t143 @t142 @t141 (forall @t34 (_ @t132 (_ @t131 @t136 tptp.d) @t3)) (forall @t31 (or (not (_ @t132 (_ @t131 @t136 @t3) @t2)) (_ @t132 @t139 @t2))) (forall @t25 (or (not (_ @t132 (_ @t131 (_ @t130 @t140 @t3) @t2) @t1)) (not (_ @t132 @t139 @t10)) (not (_ @t132 (_ @t131 @t136 @t137) @t9)) (not (_ @t132 (_ @t131 @t136 @t135) @t8)) (_ @t132 (_ @t131 (_ @t130 @t129 @t10) @t9) @t8))) (forall @t6 (not (_ @t132 (_ @t131 (_ @t130 @t129 @t3) @t2) @t1))))))) % 160.23/160.58 (step @p4 :rule refl :args (@t170)) % 160.23/160.58 (step @p5 :rule refl :args (@t4)) % 160.23/160.58 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t4 @t170))) % 160.23/160.58 (step @p7 :rule symm :premises (@p6)) % 160.23/160.58 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 160.23/160.58 (step @p9 :rule cong :premises (@p8) :args (@t5)) % 160.23/160.58 (step @p10 :rule cong :premises (@p9) :args (@t7)) % 160.23/160.58 (step @p11 :rule refl :args (@t171)) % 160.23/160.58 (step @p12 :rule refl :args (@t11)) % 160.23/160.58 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t11 @t171))) % 160.23/160.58 (step @p14 :rule symm :premises (@p13)) % 160.23/160.58 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 160.23/160.58 (step @p16 :rule refl :args ((tptp.cP_5 @t12 @t8))) % 160.23/160.58 (step @p17 :rule refl :args (@t8)) % 160.23/160.58 (step @p18 :rule refl :args (@t172)) % 160.23/160.58 (step @p19 :rule cong :premises (@p18 @p17) :args (@t173)) % 160.23/160.58 (step @p20 :rule trans :premises (@p19 @p16)) % 160.23/160.58 (step @p21 :rule refl :args (tptp.cP_5)) % 160.23/160.58 (step @p22 :rule ho_cong :premises (@p21 @p18)) % 160.23/160.58 (step @p23 :rule ho_cong :premises (@p22 @p17)) % 160.23/160.58 (step @p24 :rule cong :premises (@p23 @p20) :args ((= (_ (_ tptp.cP_5 @t172) @t8) @t173))) % 160.23/160.58 (step @p25 :rule symm :premises (@p24)) % 160.23/160.58 (step @p26 :rule refl :args (@t13)) % 160.23/160.58 (step @p27 :rule eq_resolve :premises (@p26 @p25)) % 160.23/160.58 (step @p28 :rule refl :args (@t12)) % 160.23/160.58 (step @p29 :rule cong :premises (@p28 @p18) :args ((= @t12 @t172))) % 160.23/160.58 (step @p30 :rule symm :premises (@p29)) % 160.23/160.58 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 160.23/160.58 (step @p32 :rule ho_cong :premises (@p21 @p31)) % 160.23/160.58 (step @p33 :rule ho_cong :premises (@p32 @p17)) % 160.23/160.58 (step @p34 :rule trans :premises (@p33 @p27)) % 160.23/160.58 (step @p35 :rule cong :premises (@p34) :args (@t14)) % 160.23/160.58 (step @p36 :rule refl :args ((tptp.cP_5 @t15 @t9))) % 160.23/160.58 (step @p37 :rule refl :args (@t9)) % 160.23/160.58 (step @p38 :rule refl :args (@t174)) % 160.23/160.58 (step @p39 :rule cong :premises (@p38 @p37) :args (@t175)) % 160.23/160.58 (step @p40 :rule trans :premises (@p39 @p36)) % 160.23/160.58 (step @p41 :rule ho_cong :premises (@p21 @p38)) % 160.23/160.58 (step @p42 :rule ho_cong :premises (@p41 @p37)) % 160.23/160.58 (step @p43 :rule cong :premises (@p42 @p40) :args ((= (_ (_ tptp.cP_5 @t174) @t9) @t175))) % 160.23/160.58 (step @p44 :rule symm :premises (@p43)) % 160.23/160.58 (step @p45 :rule refl :args (@t16)) % 160.23/160.58 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 160.23/160.58 (step @p47 :rule refl :args (@t15)) % 160.23/160.58 (step @p48 :rule cong :premises (@p47 @p38) :args ((= @t15 @t174))) % 160.23/160.58 (step @p49 :rule symm :premises (@p48)) % 160.23/160.58 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 160.23/160.58 (step @p51 :rule ho_cong :premises (@p21 @p50)) % 160.23/160.58 (step @p52 :rule ho_cong :premises (@p51 @p37)) % 160.23/160.58 (step @p53 :rule trans :premises (@p52 @p46)) % 160.23/160.58 (step @p54 :rule cong :premises (@p53) :args (@t17)) % 160.23/160.58 (step @p55 :rule refl :args ((tptp.cP_5 @t18 @t10))) % 160.23/160.58 (step @p56 :rule refl :args (@t10)) % 160.23/160.58 (step @p57 :rule refl :args (@t176)) % 160.23/160.58 (step @p58 :rule cong :premises (@p57 @p56) :args (@t177)) % 160.23/160.58 (step @p59 :rule trans :premises (@p58 @p55)) % 160.23/160.58 (step @p60 :rule ho_cong :premises (@p21 @p57)) % 160.23/160.58 (step @p61 :rule ho_cong :premises (@p60 @p56)) % 160.23/160.58 (step @p62 :rule cong :premises (@p61 @p59) :args ((= (_ @t214 @t10) @t177))) % 160.23/160.58 (step @p63 :rule symm :premises (@p62)) % 160.23/160.58 (step @p64 :rule refl :args (@t20)) % 160.23/160.58 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 160.23/160.58 (step @p66 :rule refl :args (@t18)) % 160.23/160.58 (step @p67 :rule cong :premises (@p66 @p57) :args ((= @t18 @t176))) % 160.23/160.58 (step @p68 :rule symm :premises (@p67)) % 160.23/160.58 (step @p69 :rule eq_resolve :premises (@p66 @p68)) % 160.23/160.58 (step @p70 :rule ho_cong :premises (@p21 @p69)) % 160.23/160.58 (step @p71 :rule ho_cong :premises (@p70 @p56)) % 160.23/160.58 (step @p72 :rule trans :premises (@p71 @p65)) % 160.23/160.58 (step @p73 :rule cong :premises (@p72) :args (@t21)) % 160.23/160.58 (step @p74 :rule refl :args (@t178)) % 160.23/160.58 (step @p75 :rule refl :args (@t22)) % 160.23/160.58 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t22 @t178))) % 160.23/160.58 (step @p77 :rule symm :premises (@p76)) % 160.23/160.58 (step @p78 :rule eq_resolve :premises (@p75 @p77)) % 160.23/160.58 (step @p79 :rule cong :premises (@p78) :args (@t23)) % 160.23/160.58 (step @p80 :rule nary_cong :premises (@p79 @p73 @p54 @p35 @p15) :args (@t24)) % 160.23/160.58 (step @p81 :rule cong :premises (@p80) :args (@t26)) % 160.23/160.58 (step @p82 :rule refl :args ((tptp.cP_5 @t18 @t2))) % 160.23/160.58 (step @p83 :rule refl :args (@t2)) % 160.23/160.58 (step @p84 :rule cong :premises (@p57 @p83) :args (@t179)) % 160.23/160.58 (step @p85 :rule trans :premises (@p84 @p82)) % 160.23/160.58 (step @p86 :rule ho_cong :premises (@p60 @p83)) % 160.23/160.58 (step @p87 :rule cong :premises (@p86 @p85) :args ((= (_ @t214 @t2) @t179))) % 160.23/160.58 (step @p88 :rule symm :premises (@p87)) % 160.23/160.58 (step @p89 :rule refl :args (@t27)) % 160.23/160.58 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 160.23/160.58 (step @p91 :rule ho_cong :premises (@p70 @p83)) % 160.23/160.58 (step @p92 :rule trans :premises (@p91 @p90)) % 160.23/160.58 (step @p93 :rule refl :args (@t180)) % 160.23/160.58 (step @p94 :rule refl :args (@t28)) % 160.23/160.58 (step @p95 :rule cong :premises (@p94 @p93) :args ((= @t28 @t180))) % 160.23/160.58 (step @p96 :rule symm :premises (@p95)) % 160.23/160.58 (step @p97 :rule eq_resolve :premises (@p94 @p96)) % 160.23/160.58 (step @p98 :rule cong :premises (@p97) :args (@t29)) % 160.23/160.58 (step @p99 :rule nary_cong :premises (@p98 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ho_cong :premises (@p358 @p31)) % 160.23/160.58 (step @p366 :rule ho_cong :premises (@p365 @p17)) % 160.23/160.58 (step @p367 :rule trans :premises (@p366 @p364)) % 160.23/160.58 (step @p368 :rule cong :premises (@p367) :args (@t107)) % 160.23/160.58 (step @p369 :rule refl :args ((tptp.cP_1 @t15 @t9))) % 160.23/160.58 (step @p370 :rule cong :premises (@p38 @p37) :args (@t208)) % 160.23/160.58 (step @p371 :rule trans :premises (@p370 @p369)) % 160.23/160.58 (step @p372 :rule ho_cong :premises (@p358 @p38)) % 160.23/160.58 (step @p373 :rule ho_cong :premises (@p372 @p37)) % 160.23/160.58 (step @p374 :rule cong :premises (@p373 @p371) :args ((= (_ (_ tptp.cP_1 @t174) @t9) @t208))) % 160.23/160.58 (step @p375 :rule symm :premises (@p374)) % 160.23/160.58 (step @p376 :rule refl :args (@t108)) % 160.23/160.58 (step @p377 :rule eq_resolve :premises (@p376 @p375)) % 160.23/160.58 (step @p378 :rule ho_cong :premises (@p358 @p50)) % 160.23/160.58 (step @p379 :rule ho_cong :premises (@p378 @p37)) % 160.23/160.58 (step @p380 :rule trans :premises (@p379 @p377)) % 160.23/160.58 (step @p381 :rule cong :premises (@p380) :args (@t109)) % 160.23/160.58 (step @p382 :rule refl :args ((tptp.cP_1 @t18 @t10))) % 160.23/160.58 (step @p383 :rule cong :premises (@p57 @p56) :args (@t209)) % 160.23/160.58 (step @p384 :rule trans :premises (@p383 @p382)) % 160.23/160.58 (step @p385 :rule ho_cong :premises (@p358 @p57)) % 160.23/160.58 (step @p386 :rule ho_cong :premises (@p385 @p56)) % 160.23/160.58 (step @p387 :rule cong :premises (@p386 @p384) :args ((= (_ @t218 @t10) @t209))) % 160.23/160.58 (step @p388 :rule symm :premises (@p387)) % 160.23/160.58 (step @p389 :rule refl :args (@t111)) % 160.23/160.58 (step @p390 :rule eq_resolve :premises (@p389 @p388)) % 160.23/160.58 (step @p391 :rule ho_cong :premises (@p358 @p69)) % 160.23/160.58 (step @p392 :rule ho_cong :premises (@p391 @p56)) % 160.23/160.58 (step @p393 :rule trans :premises (@p392 @p390)) % 160.23/160.58 (step @p394 :rule cong :premises (@p393) :args (@t112)) % 160.23/160.58 (step @p395 :rule refl :args (@t210)) % 160.23/160.58 (step @p396 :rule refl :args (@t113)) % 160.23/160.58 (step @p397 :rule cong :premises (@p396 @p395) :args ((= @t113 @t210))) % 160.23/160.58 (step @p398 :rule symm :premises (@p397)) % 160.23/160.58 (step @p399 :rule eq_resolve :premises (@p396 @p398)) % 160.23/160.58 (step @p400 :rule cong :premises (@p399) :args (@t114)) % 160.23/160.58 (step @p401 :rule nary_cong :premises (@p400 @p394 @p381 @p368 @p354) :args (@t115)) % 160.23/160.58 (step @p402 :rule cong :premises (@p401) :args (@t116)) % 160.23/160.58 (step @p403 :rule refl :args ((tptp.cP_1 @t18 @t2))) % 160.23/160.58 (step @p404 :rule cong :premises (@p57 @p83) :args (@t211)) % 160.23/160.58 (step @p405 :rule trans :premises (@p404 @p403)) % 160.23/160.58 (step @p406 :rule ho_cong :premises (@p385 @p83)) % 160.23/160.58 (step @p407 :rule cong :premises (@p406 @p405) :args ((= (_ @t218 @t2) @t211))) % 160.23/160.58 (step @p408 :rule symm :premises (@p407)) % 160.23/160.58 (step @p409 :rule refl :args (@t117)) % 160.23/160.58 (step @p410 :rule eq_resolve :premises (@p409 @p408)) % 160.23/160.58 (step @p411 :rule ho_cong :premises (@p391 @p83)) % 160.23/160.58 (step @p412 :rule trans :premises (@p411 @p410)) % 160.23/160.58 (step @p413 :rule refl :args (@t212)) % 160.23/160.58 (step @p414 :rule refl :args (@t118)) % 160.23/160.58 (step @p415 :rule cong :premises (@p414 @p413) :args ((= @t118 @t212))) % 160.23/160.58 (step @p416 :rule symm :premises (@p415)) % 160.23/160.58 (step @p417 :rule eq_resolve :premises (@p414 @p416)) % 160.23/160.58 (step @p418 :rule cong :premises (@p417) :args (@t119)) % 160.23/160.58 (step @p419 :rule nary_cong :premises (@p418 @p412) :args (@t120)) % 160.23/160.58 (step @p420 :rule cong :premises (@p419) :args (@t121)) % 160.23/160.58 (step @p421 :rule refl :args (@t213)) % 160.23/160.58 (step @p422 :rule refl :args (@t122)) % 160.23/160.58 (step @p423 :rule cong :premises (@p422 @p421) :args ((= @t122 @t213))) % 160.23/160.58 (step @p424 :rule symm :premises (@p423)) % 160.23/160.58 (step @p425 :rule eq_resolve :premises (@p422 @p424)) % 160.23/160.58 (step @p426 :rule cong :premises (@p425) :args (@t123)) % 160.23/160.58 (step @p427 :rule refl :args (@t124)) % 160.23/160.58 (step @p428 :rule refl :args (@t125)) % 160.23/160.58 (step @p429 :rule refl :args (@t126)) % 160.23/160.58 (step @p430 :rule refl :args (@t127)) % 160.23/160.58 (step @p431 :rule nary_cong :premises (@p430 @p429 @p428 @p427 @p426 @p420 @p402 @p349 @p348 @p347 @p346 @p340 @p322 @p269 @p268 @p267 @p266 @p260 @p242 @p189 @p188 @p187 @p186 @p180 @p162 @p109 @p108 @p107 @p106 @p100 @p81 @p10) :args (@t128)) % 160.23/160.58 (step @p432 :rule bool-double-not-elim :args (@t128)) % 160.23/160.58 (step @p433 :rule trans :premises (@p432 @p431)) % 160.23/160.58 (step @p434 :rule trans :premises (@p433 @p3)) % 160.23/160.58 (step @p435 :rule eq_resolve :premises (@p1 @p434)) % 160.23/160.58 (step @p436 :rule and_elim :premises (@p435) :args (24)) % 160.23/160.58 (step @p437 :rule and_elim :premises (@p435) :args (23)) % 160.23/160.58 (step @p438 :rule instantiate :premises (@p437) :args (@t219)) % 160.23/160.58 (step @p439 :rule and_elim :premises (@p435) :args (21)) % 160.23/160.58 (step @p440 :rule cnf_or_pos :args (@t223)) % 160.23/160.58 (step @p441 :rule reordering :premises (@p440) :args ((or @t222 @t221 (not @t223)))) % 160.23/160.58 (step @p442 :rule chain_m_resolution :premises (@p441 @p439 @p438) :args (@t221 @t224 (@list @t148 @t223))) % 160.23/160.58 (step @p443 :rule and_elim :premises (@p435) :args (30)) % 160.23/160.58 (step @p444 :rule instantiate :premises (@p443) :args (@t225)) % 160.23/160.58 (step @p445 :rule and_elim :premises (@p435) :args (31)) % 160.23/160.58 (step @p446 :rule instantiate :premises (@p445) :args ((@list tptp.a tptp.b tptp.c))) % 160.23/160.58 (step @p447 :rule and_elim :premises (@p435) :args (29)) % 160.23/160.58 (step @p448 :rule instantiate :premises (@p447) :args (@t219)) % 160.23/160.58 (step @p449 :rule and_elim :premises (@p435) :args (27)) % 160.23/160.58 (step @p450 :rule cnf_or_pos :args (@t228)) % 160.23/160.58 (step @p451 :rule reordering :premises (@p450) :args ((or @t227 @t226 (not @t228)))) % 160.23/160.58 (step @p452 :rule chain_m_resolution :premises (@p451 @p449 @p448) :args (@t226 @t224 (@list @t141 @t228))) % 160.23/160.58 (step @p453 :rule instantiate :premises (@p447) :args (@t229)) % 160.23/160.58 (step @p454 :rule and_elim :premises (@p435) :args (26)) % 160.23/160.58 (step @p455 :rule cnf_or_pos :args (@t233)) % 160.23/160.58 (step @p456 :rule reordering :premises (@p455) :args ((or @t232 @t231 (not @t233)))) % 160.23/160.58 (step @p457 :rule chain_m_resolution :premises (@p456 @p454 @p453) :args (@t231 @t224 (@list @t142 @t233))) % 160.23/160.58 (step @p458 :rule instantiate :premises (@p447) :args (@t234)) % 160.23/160.58 (step @p459 :rule and_elim :premises (@p435) :args (25)) % 160.23/160.58 (step @p460 :rule cnf_or_pos :args (@t238)) % 160.23/160.58 (step @p461 :rule reordering :premises (@p460) :args ((or @t237 @t236 (not @t238)))) % 160.23/160.58 (step @p462 :rule chain_m_resolution :premises (@p461 @p459 @p458) :args (@t236 @t224 (@list @t143 @t238))) % 160.23/160.58 (step @p463 :rule cnf_or_pos :args (@t245)) % 160.23/160.58 (step @p464 :rule reordering :premises (@p463) :args ((or @t242 @t241 @t244 @t240 @t239 (not @t245)))) % 160.23/160.58 (step @p465 :rule chain_m_resolution :premises (@p464 @p462 @p457 @p452 @p446 @p444) :args (@t244 @t246 (@list @t236 @t231 @t226 @t239 @t245))) % 160.23/160.58 (step @p466 :rule and_elim :premises (@p435) :args (18)) % 160.23/160.58 (step @p467 :rule instantiate :premises (@p466) :args (@t225)) % 160.23/160.58 (step @p468 :rule and_elim :premises (@p435) :args (17)) % 160.23/160.58 (step @p469 :rule instantiate :premises (@p468) :args (@t219)) % 160.23/160.58 (step @p470 :rule and_elim :premises (@p435) :args (15)) % 160.23/160.58 (step @p471 :rule cnf_or_pos :args (@t249)) % 160.23/160.58 (step @p472 :rule reordering :premises (@p471) :args ((or @t248 @t247 (not @t249)))) % 160.23/160.58 (step @p473 :rule chain_m_resolution :premises (@p472 @p470 @p469) :args (@t247 @t224 (@list @t154 @t249))) % 160.23/160.58 (step @p474 :rule and_elim :premises (@p435) :args (12)) % 160.23/160.58 (step @p475 :rule instantiate :premises (@p474) :args (@t225)) % 160.23/160.58 (step @p476 :rule and_elim :premises (@p435) :args (11)) % 160.23/160.58 (step @p477 :rule instantiate :premises (@p476) :args (@t219)) % 160.23/160.58 (step @p478 :rule and_elim :premises (@p435) :args (9)) % 160.23/160.58 (step @p479 :rule cnf_or_pos :args (@t252)) % 160.23/160.58 (step @p480 :rule reordering :premises (@p479) :args ((or @t251 @t250 (not @t252)))) % 160.23/160.58 (step @p481 :rule chain_m_resolution :premises (@p480 @p478 @p477) :args (@t250 @t224 (@list @t160 @t252))) % 160.23/160.58 (step @p482 :rule and_elim :premises (@p435) :args (6)) % 160.23/160.58 (step @p483 :rule instantiate :premises (@p482) :args (@t225)) % 160.23/160.58 (step @p484 :rule and_elim :premises (@p435) :args (5)) % 160.23/160.58 (step @p485 :rule instantiate :premises (@p484) :args (@t219)) % 160.23/160.58 (step @p486 :rule and_elim :premises (@p435) :args (3)) % 160.23/160.58 (step @p487 :rule cnf_or_pos :args (@t255)) % 160.23/160.58 (step @p488 :rule reordering :premises (@p487) :args ((or @t254 @t253 (not @t255)))) % 160.23/160.58 (step @p489 :rule chain_m_resolution :premises (@p488 @p486 @p485) :args (@t253 @t224 (@list @t166 @t255))) % 160.23/160.58 (step @p490 :rule instantiate :premises (@p484) :args (@t229)) % 160.23/160.58 (step @p491 :rule and_elim :premises (@p435) :args (2)) % 160.23/160.58 (step @p492 :rule cnf_or_pos :args (@t258)) % 160.23/160.58 (step @p493 :rule reordering :premises (@p492) :args ((or @t257 @t256 (not @t258)))) % 160.23/160.58 (step @p494 :rule chain_m_resolution :premises (@p493 @p491 @p490) :args (@t256 @t224 (@list @t167 @t258))) % 160.23/160.58 (step @p495 :rule instantiate :premises (@p484) :args (@t234)) % 160.23/160.58 (step @p496 :rule and_elim :premises (@p435) :args (1)) % 160.23/160.58 (step @p497 :rule cnf_or_pos :args (@t261)) % 160.23/160.58 (step @p498 :rule reordering :premises (@p497) :args ((or @t260 @t259 (not @t261)))) % 160.23/160.58 (step @p499 :rule chain_m_resolution :premises (@p498 @p496 @p495) :args (@t259 @t224 (@list @t168 @t261))) % 160.23/160.58 (step @p500 :rule and_elim :premises (@p435) :args (0)) % 160.23/160.58 (step @p501 :rule cnf_or_pos :args (@t267)) % 160.23/160.58 (step @p502 :rule reordering :premises (@p501) :args ((or @t266 @t265 @t264 @t263 @t262 (not @t267)))) % 160.23/160.58 (step @p503 :rule chain_m_resolution :premises (@p502 @p500 @p499 @p494 @p489 @p483) :args (@t262 @t268 (@list @t169 @t259 @t256 @t253 @t267))) % 160.23/160.58 (step @p504 :rule instantiate :premises (@p476) :args (@t229)) % 160.23/160.58 (step @p505 :rule and_elim :premises (@p435) :args (8)) % 160.23/160.58 (step @p506 :rule cnf_or_pos :args (@t271)) % 160.23/160.58 (step @p507 :rule reordering :premises (@p506) :args ((or @t270 @t269 (not @t271)))) % 160.23/160.59 (step @p508 :rule chain_m_resolution :premises (@p507 @p505 @p504) :args (@t269 @t224 (@list @t161 @t271))) % 160.23/160.59 (step @p509 :rule instantiate :premises (@p476) :args (@t234)) % 160.23/160.59 (step @p510 :rule and_elim :premises (@p435) :args (7)) % 160.23/160.59 (step @p511 :rule cnf_or_pos :args (@t274)) % 160.23/160.59 (step @p512 :rule reordering :premises (@p511) :args ((or @t273 @t272 (not @t274)))) % 160.23/160.59 (step @p513 :rule chain_m_resolution :premises (@p512 @p510 @p509) :args (@t272 @t224 (@list @t162 @t274))) % 160.23/160.59 (step @p514 :rule cnf_or_pos :args (@t280)) % 160.23/160.59 (step @p515 :rule reordering :premises (@p514) :args ((or @t278 @t277 @t279 @t275 @t276 (not @t280)))) % 160.23/160.59 (step @p516 :rule chain_m_resolution :premises (@p515 @p513 @p508 @p503 @p481 @p475) :args (@t275 @t268 (@list @t272 @t269 @t262 @t250 @t280))) % 160.23/160.59 (step @p517 :rule instantiate :premises (@p468) :args (@t229)) % 160.23/160.59 (step @p518 :rule and_elim :premises (@p435) :args (14)) % 160.23/160.59 (step @p519 :rule cnf_or_pos :args (@t283)) % 160.23/160.59 (step @p520 :rule reordering :premises (@p519) :args ((or @t282 @t281 (not @t283)))) % 160.23/160.59 (step @p521 :rule chain_m_resolution :premises (@p520 @p518 @p517) :args (@t281 @t224 (@list @t155 @t283))) % 160.23/160.59 (step @p522 :rule instantiate :premises (@p468) :args (@t234)) % 160.23/160.59 (step @p523 :rule and_elim :premises (@p435) :args (13)) % 160.23/160.59 (step @p524 :rule cnf_or_pos :args (@t286)) % 160.23/160.59 (step @p525 :rule reordering :premises (@p524) :args ((or @t285 @t284 (not @t286)))) % 160.23/160.59 (step @p526 :rule chain_m_resolution :premises (@p525 @p523 @p522) :args (@t284 @t224 (@list @t156 @t286))) % 160.23/160.59 (step @p527 :rule cnf_or_pos :args (@t292)) % 160.23/160.59 (step @p528 :rule reordering :premises (@p527) :args ((or @t290 @t289 @t291 @t288 @t287 (not @t292)))) % 160.23/160.59 (step @p529 :rule chain_m_resolution :premises (@p528 @p526 @p521 @p516 @p473 @p467) :args (@t287 @t268 (@list @t284 @t281 @t275 @t247 @t292))) % 160.23/160.59 (step @p530 :rule instantiate :premises (@p437) :args (@t229)) % 160.23/160.59 (step @p531 :rule and_elim :premises (@p435) :args (20)) % 160.23/160.59 (step @p532 :rule cnf_or_pos :args (@t295)) % 160.23/160.59 (step @p533 :rule reordering :premises (@p532) :args ((or @t294 @t293 (not @t295)))) % 160.23/160.59 (step @p534 :rule chain_m_resolution :premises (@p533 @p531 @p530) :args (@t293 @t224 (@list @t149 @t295))) % 160.23/160.59 (step @p535 :rule instantiate :premises (@p437) :args (@t234)) % 160.23/160.59 (step @p536 :rule and_elim :premises (@p435) :args (19)) % 160.23/160.59 (step @p537 :rule cnf_or_pos :args (@t298)) % 160.23/160.59 (step @p538 :rule reordering :premises (@p537) :args ((or @t297 @t296 (not @t298)))) % 160.23/160.59 (step @p539 :rule chain_m_resolution :premises (@p538 @p536 @p535) :args (@t296 @t224 (@list @t150 @t298))) % 160.23/160.59 (step @p540 :rule cnf_or_pos :args (@t303)) % 160.23/160.59 (step @p541 :rule reordering :premises (@p540) :args ((or @t301 @t300 @t302 @t243 @t299 @t304))) % 160.23/160.59 (step @p542 :rule chain_m_resolution :premises (@p541 @p539 @p534 @p529 @p465 @p442) :args (@t304 @t246 (@list @t296 @t293 @t287 @t243 @t221))) % 160.23/160.59 (assume-push @p549 @t147) % 160.23/160.59 (step @p544 :rule instantiate :premises (@p436) :args (@t225)) % 160.23/160.59 (step-pop @p550 :rule scope :premises (@p544)) % 160.23/160.59 (step @p545 :rule process_scope :premises (@p550) :args (@t303)) % 160.23/160.59 (step @p547 :rule implies_elim :premises (@p545)) % 160.23/160.59 (step @p548 false :rule chain_m_resolution :premises (@p547 @p542 @p436) :args (false (@list true false) (@list @t303 @t147))) % 160.23/160.59 ) % 160.23/160.59 % SZS output end Proof % 160.23/160.59 % cvc5 exiting %------------------------------------------------------------------------------