%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO387^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 161.64s 162.03s % Output : Proof 161.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO387^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n004.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 00:06:23 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.51 %----Proving TH0 % 161.64/162.03 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 161.64/162.03 --- 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... % 161.64/162.03 --- 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... % 161.64/162.03 --- Run --ho-elim --full-saturate-quant at 18s... % 161.64/162.03 % SZS status Theorem % 161.64/162.03 % SZS output start Proof % 161.64/162.03 ( % 161.64/162.03 (declare-sort $$unsorted 0) % 161.64/162.03 (declare-const tptp.cQ_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 161.64/162.03 (declare-const tptp.cQ_5 (-> $$unsorted $$unsorted $$unsorted Bool)) % 161.64/162.03 (declare-const tptp.cQ_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 161.64/162.03 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 161.64/162.03 (declare-const tptp.cP_4 (-> $$unsorted $$unsorted Bool)) % 161.64/162.03 (declare-const tptp.cQ_4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 161.64/162.03 (declare-const tptp.d $$unsorted) % 161.64/162.03 (declare-const tptp.c $$unsorted) % 161.64/162.03 (declare-const tptp.b $$unsorted) % 161.64/162.03 (declare-const tptp.a $$unsorted) % 161.64/162.03 (declare-const tptp.cP_3 (-> $$unsorted $$unsorted Bool)) % 161.64/162.03 (declare-const tptp.cQ_3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 161.64/162.03 (declare-const tptp.cP_2 (-> $$unsorted $$unsorted Bool)) % 161.64/162.03 (declare-const tptp.cP_1 (-> $$unsorted $$unsorted Bool)) % 161.64/162.03 (define @t1 () (@var "Xz" $$unsorted)) % 161.64/162.03 (define @t2 () (@var "Xy" $$unsorted)) % 161.64/162.03 (define @t3 () (@var "Xx" $$unsorted)) % 161.64/162.03 (define @t4 () (_ (_ (_ tptp.cQ_5 @t3) @t2) @t1)) % 161.64/162.03 (define @t5 () (not @t4)) % 161.64/162.03 (define @t6 () (@list @t3 @t2 @t1)) % 161.64/162.03 (define @t7 () (forall @t6 @t5)) % 161.64/162.03 (define @t8 () (@var "Xw" $$unsorted)) % 161.64/162.03 (define @t9 () (@var "Xv" $$unsorted)) % 161.64/162.03 (define @t10 () (@var "Xu" $$unsorted)) % 161.64/162.03 (define @t11 () (_ (_ (_ tptp.cQ_5 @t10) @t9) @t8)) % 161.64/162.03 (define @t12 () (_ tptp.f @t1)) % 161.64/162.03 (define @t13 () (_ (_ tptp.cP_4 @t12) @t8)) % 161.64/162.03 (define @t14 () (not @t13)) % 161.64/162.03 (define @t15 () (_ tptp.f @t2)) % 161.64/162.03 (define @t16 () (_ (_ tptp.cP_4 @t15) @t9)) % 161.64/162.03 (define @t17 () (not @t16)) % 161.64/162.03 (define @t18 () (_ tptp.f @t3)) % 161.64/162.03 (define @t19 () (_ tptp.cP_4 @t18)) % 161.64/162.03 (define @t20 () (_ @t19 @t10)) % 161.64/162.03 (define @t21 () (not @t20)) % 161.64/162.03 (define @t22 () (_ (_ (_ tptp.cQ_4 @t3) @t2) @t1)) % 161.64/162.03 (define @t23 () (not @t22)) % 161.64/162.03 (define @t24 () (or @t23 @t21 @t17 @t14 @t11)) % 161.64/162.03 (define @t25 () (@list @t3 @t2 @t1 @t10 @t9 @t8)) % 161.64/162.03 (define @t26 () (forall @t25 @t24)) % 161.64/162.03 (define @t27 () (_ @t19 @t2)) % 161.64/162.03 (define @t28 () (_ (_ tptp.cP_4 @t3) @t2)) % 161.64/162.03 (define @t29 () (not @t28)) % 161.64/162.03 (define @t30 () (or @t29 @t27)) % 161.64/162.03 (define @t31 () (@list @t3 @t2)) % 161.64/162.03 (define @t32 () (forall @t31 @t30)) % 161.64/162.03 (define @t33 () (_ (_ tptp.cP_4 tptp.d) @t3)) % 161.64/162.03 (define @t34 () (@list @t3)) % 161.64/162.03 (define @t35 () (forall @t34 @t33)) % 161.64/162.03 (define @t36 () (_ (_ tptp.cP_4 tptp.c) tptp.c)) % 161.64/162.03 (define @t37 () (_ (_ tptp.cP_4 tptp.b) tptp.b)) % 161.64/162.03 (define @t38 () (_ (_ tptp.cP_4 tptp.a) tptp.a)) % 161.64/162.03 (define @t39 () (_ (_ (_ tptp.cQ_4 @t10) @t9) @t8)) % 161.64/162.03 (define @t40 () (_ (_ tptp.cP_3 @t12) @t8)) % 161.64/162.03 (define @t41 () (not @t40)) % 161.64/162.03 (define @t42 () (_ (_ tptp.cP_3 @t15) @t9)) % 161.64/162.03 (define @t43 () (not @t42)) % 161.64/162.03 (define @t44 () (_ tptp.cP_3 @t18)) % 161.64/162.03 (define @t45 () (_ @t44 @t10)) % 161.64/162.03 (define @t46 () (not @t45)) % 161.64/162.03 (define @t47 () (_ (_ (_ tptp.cQ_3 @t3) @t2) @t1)) % 161.64/162.03 (define @t48 () (not @t47)) % 161.64/162.03 (define @t49 () (or @t48 @t46 @t43 @t41 @t39)) % 161.64/162.03 (define @t50 () (forall @t25 @t49)) % 161.64/162.03 (define @t51 () (_ @t44 @t2)) % 161.64/162.03 (define @t52 () (_ (_ tptp.cP_3 @t3) @t2)) % 161.64/162.03 (define @t53 () (not @t52)) % 161.64/162.03 (define @t54 () (or @t53 @t51)) % 161.64/162.03 (define @t55 () (forall @t31 @t54)) % 161.64/162.03 (define @t56 () (_ (_ tptp.cP_3 tptp.d) @t3)) % 161.64/162.03 (define @t57 () (forall @t34 @t56)) % 161.64/162.03 (define @t58 () (_ (_ tptp.cP_3 tptp.c) tptp.c)) % 161.64/162.03 (define @t59 () (_ (_ tptp.cP_3 tptp.b) tptp.b)) % 161.64/162.03 (define @t60 () (_ (_ tptp.cP_3 tptp.a) tptp.a)) % 161.64/162.03 (define @t61 () (_ (_ (_ tptp.cQ_3 @t10) @t9) @t8)) % 161.64/162.03 (define @t62 () (_ (_ tptp.cP_2 @t12) @t8)) % 161.64/162.03 (define @t63 () (not @t62)) % 161.64/162.03 (define @t64 () (_ (_ tptp.cP_2 @t15) @t9)) % 161.64/162.03 (define @t65 () (not @t64)) % 161.64/162.03 (define @t66 () (_ tptp.cP_2 @t18)) % 161.64/162.03 (define @t67 () (_ @t66 @t10)) % 161.64/162.03 (define @t68 () (not @t67)) % 161.64/162.03 (define @t69 () (_ (_ (_ tptp.cQ_2 @t3) @t2) @t1)) % 161.64/162.03 (define @t70 () (not @t69)) % 161.64/162.03 (define @t71 () (or @t70 @t68 @t65 @t63 @t61)) % 161.64/162.03 (define @t72 () (forall @t25 @t71)) % 161.64/162.03 (define @t73 () (_ @t66 @t2)) % 161.64/162.03 (define @t74 () (_ (_ tptp.cP_2 @t3) @t2)) % 161.64/162.03 (define @t75 () (not @t74)) % 161.64/162.03 (define @t76 () (or @t75 @t73)) % 161.64/162.03 (define @t77 () (forall @t31 @t76)) % 161.64/162.03 (define @t78 () (_ (_ tptp.cP_2 tptp.d) @t3)) % 161.64/162.03 (define @t79 () (forall @t34 @t78)) % 161.64/162.03 (define @t80 () (_ (_ tptp.cP_2 tptp.c) tptp.c)) % 161.64/162.03 (define @t81 () (_ (_ tptp.cP_2 tptp.b) tptp.b)) % 161.64/162.03 (define @t82 () (_ (_ tptp.cP_2 tptp.a) tptp.a)) % 161.64/162.03 (define @t83 () (_ (_ (_ tptp.cQ_2 @t10) @t9) @t8)) % 161.64/162.03 (define @t84 () (_ (_ tptp.cP_1 @t12) @t8)) % 161.64/162.03 (define @t85 () (not @t84)) % 161.64/162.03 (define @t86 () (_ (_ tptp.cP_1 @t15) @t9)) % 161.64/162.03 (define @t87 () (not @t86)) % 161.64/162.03 (define @t88 () (_ tptp.cP_1 @t18)) % 161.64/162.03 (define @t89 () (_ @t88 @t10)) % 161.64/162.03 (define @t90 () (not @t89)) % 161.64/162.03 (define @t91 () (_ (_ (_ tptp.cQ_1 @t3) @t2) @t1)) % 161.64/162.03 (define @t92 () (not @t91)) % 161.64/162.03 (define @t93 () (or @t92 @t90 @t87 @t85 @t83)) % 161.64/162.03 (define @t94 () (forall @t25 @t93)) % 161.64/162.03 (define @t95 () (_ @t88 @t2)) % 161.64/162.03 (define @t96 () (_ (_ tptp.cP_1 @t3) @t2)) % 161.64/162.03 (define @t97 () (not @t96)) % 161.64/162.03 (define @t98 () (or @t97 @t95)) % 161.64/162.03 (define @t99 () (forall @t31 @t98)) % 161.64/162.03 (define @t100 () (_ (_ tptp.cP_1 tptp.d) @t3)) % 161.64/162.03 (define @t101 () (forall @t34 @t100)) % 161.64/162.03 (define @t102 () (_ (_ tptp.cP_1 tptp.c) tptp.c)) % 161.64/162.03 (define @t103 () (_ (_ tptp.cP_1 tptp.b) tptp.b)) % 161.64/162.03 (define @t104 () (_ (_ tptp.cP_1 tptp.a) tptp.a)) % 161.64/162.03 (define @t105 () (_ (_ (_ tptp.cQ_1 tptp.a) tptp.b) tptp.c)) % 161.64/162.03 (define @t106 () (and @t105 @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)) % 161.64/162.03 (define @t107 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 161.64/162.03 (define @t108 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))) % 161.64/162.03 (define @t109 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 161.64/162.03 (define @t110 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 161.64/162.03 (define @t111 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 161.64/162.03 (define @t112 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 161.64/162.03 (define @t113 () (_ @t112 @t111 @t1)) % 161.64/162.03 (define @t114 () (@const 6 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 161.64/162.03 (define @t115 () (_ @t112 @t111 @t2)) % 161.64/162.03 (define @t116 () (_ @t112 @t111 @t3)) % 161.64/162.03 (define @t117 () (_ @t109 @t114 @t116)) % 161.64/162.03 (define @t118 () (@const 7 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 161.64/162.03 (define @t119 () (forall @t25 (or (not (_ @t110 (_ @t109 (_ @t108 @t118 @t3) @t2) @t1)) (not (_ @t110 @t117 @t10)) (not (_ @t110 (_ @t109 @t114 @t115) @t9)) (not (_ @t110 (_ @t109 @t114 @t113) @t8)) (_ @t110 (_ @t109 (_ @t108 @t107 @t10) @t9) @t8)))) % 161.64/162.03 (define @t120 () (_ @t110 (_ @t109 @t114 tptp.c) tptp.c)) % 161.64/162.03 (define @t121 () (_ @t110 (_ @t109 @t114 tptp.b) tptp.b)) % 161.64/162.03 (define @t122 () (_ @t110 (_ @t109 @t114 tptp.a) tptp.a)) % 161.64/162.03 (define @t123 () (@const 8 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 161.64/162.03 (define @t124 () (_ @t109 @t123 @t116)) % 161.64/162.03 (define @t125 () (@const 9 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 161.64/162.03 (define @t126 () (_ @t110 (_ @t109 @t123 tptp.c) tptp.c)) % 161.64/162.03 (define @t127 () (_ @t110 (_ @t109 @t123 tptp.b) tptp.b)) % 161.64/162.03 (define @t128 () (_ @t110 (_ @t109 @t123 tptp.a) tptp.a)) % 161.64/162.03 (define @t129 () (@const 10 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 161.64/162.03 (define @t130 () (_ @t109 @t129 @t116)) % 161.64/162.03 (define @t131 () (@const 11 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 161.64/162.03 (define @t132 () (_ @t110 (_ @t109 @t129 tptp.c) tptp.c)) % 161.64/162.03 (define @t133 () (_ @t110 (_ @t109 @t129 tptp.b) tptp.b)) % 161.64/162.03 (define @t134 () (_ @t110 (_ @t109 @t129 tptp.a) tptp.a)) % 161.64/162.03 (define @t135 () (@const 12 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 161.64/162.03 (define @t136 () (_ @t109 @t135 @t116)) % 161.64/162.03 (define @t137 () (@const 13 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 161.64/162.03 (define @t138 () (_ @t110 (_ @t109 @t135 tptp.c) tptp.c)) % 161.64/162.03 (define @t139 () (_ @t110 (_ @t109 @t135 tptp.b) tptp.b)) % 161.64/162.03 (define @t140 () (_ @t110 (_ @t109 @t135 tptp.a) tptp.a)) % 161.64/162.03 (define @t141 () (_ @t110 (_ @t109 (_ @t108 @t137 tptp.a) tptp.b) tptp.c)) % 161.64/162.03 (define @t142 () (tptp.cQ_5 @t3 @t2 @t1)) % 161.64/162.03 (define @t143 () (tptp.cQ_5 @t10 @t9 @t8)) % 161.64/162.03 (define @t144 () (tptp.f @t1)) % 161.64/162.03 (define @t145 () (tptp.cP_4 @t144 @t8)) % 161.64/162.03 (define @t146 () (tptp.f @t2)) % 161.64/162.03 (define @t147 () (tptp.cP_4 @t146 @t9)) % 161.64/162.03 (define @t148 () (tptp.f @t3)) % 161.64/162.03 (define @t149 () (tptp.cP_4 @t148 @t10)) % 161.64/162.03 (define @t150 () (tptp.cQ_4 @t3 @t2 @t1)) % 161.64/162.03 (define @t151 () (tptp.cP_4 @t148 @t2)) % 161.64/162.03 (define @t152 () (tptp.cP_4 @t3 @t2)) % 161.64/162.03 (define @t153 () (tptp.cP_4 tptp.d @t3)) % 161.64/162.03 (define @t154 () (tptp.cQ_4 @t10 @t9 @t8)) % 161.64/162.03 (define @t155 () (tptp.cP_3 @t144 @t8)) % 161.64/162.03 (define @t156 () (tptp.cP_3 @t146 @t9)) % 161.64/162.03 (define @t157 () (tptp.cP_3 @t148 @t10)) % 161.64/162.03 (define @t158 () (tptp.cQ_3 @t3 @t2 @t1)) % 161.64/162.03 (define @t159 () (tptp.cP_3 @t148 @t2)) % 161.64/162.03 (define @t160 () (tptp.cP_3 @t3 @t2)) % 161.64/162.03 (define @t161 () (tptp.cP_3 tptp.d @t3)) % 161.64/162.03 (define @t162 () (tptp.cQ_3 @t10 @t9 @t8)) % 161.64/162.03 (define @t163 () (tptp.cP_2 @t144 @t8)) % 161.64/162.03 (define @t164 () (tptp.cP_2 @t146 @t9)) % 161.64/162.03 (define @t165 () (tptp.cP_2 @t148 @t10)) % 161.64/162.03 (define @t166 () (tptp.cQ_2 @t3 @t2 @t1)) % 161.64/162.03 (define @t167 () (tptp.cP_2 @t148 @t2)) % 161.64/162.03 (define @t168 () (tptp.cP_2 @t3 @t2)) % 161.64/162.03 (define @t169 () (tptp.cP_2 tptp.d @t3)) % 161.64/162.03 (define @t170 () (tptp.cQ_2 @t10 @t9 @t8)) % 161.64/162.03 (define @t171 () (tptp.cP_1 @t144 @t8)) % 161.64/162.03 (define @t172 () (tptp.cP_1 @t146 @t9)) % 161.64/162.03 (define @t173 () (tptp.cP_1 @t148 @t10)) % 161.64/162.03 (define @t174 () (tptp.cQ_1 @t3 @t2 @t1)) % 161.64/162.03 (define @t175 () (tptp.cP_1 @t148 @t2)) % 161.64/162.03 (define @t176 () (tptp.cP_1 @t3 @t2)) % 161.64/162.03 (define @t177 () (tptp.cP_1 tptp.d @t3)) % 161.64/162.03 (define @t178 () (_ tptp.cP_4 @t148)) % 161.64/162.03 (define @t179 () (_ tptp.cP_3 @t148)) % 161.64/162.03 (define @t180 () (_ tptp.cP_2 @t148)) % 161.64/162.03 (define @t181 () (_ tptp.cP_1 @t148)) % 161.64/162.03 (define @t182 () (@list tptp.a tptp.b tptp.c tptp.a tptp.b tptp.c)) % 161.64/162.03 (define @t183 () (@list tptp.c tptp.c)) % 161.64/162.03 (define @t184 () (_ @t112 @t111 tptp.c)) % 161.64/162.03 (define @t185 () (_ @t110 (_ @t109 @t123 @t184) tptp.c)) % 161.64/162.03 (define @t186 () (not @t126)) % 161.64/162.03 (define @t187 () (or @t186 @t185)) % 161.64/162.03 (define @t188 () (@list false false)) % 161.64/162.03 (define @t189 () (_ @t110 (_ @t109 @t129 @t184) tptp.c)) % 161.64/162.03 (define @t190 () (not @t132)) % 161.64/162.03 (define @t191 () (or @t190 @t189)) % 161.64/162.03 (define @t192 () (_ @t110 (_ @t109 @t135 @t184) tptp.c)) % 161.64/162.03 (define @t193 () (not @t138)) % 161.64/162.03 (define @t194 () (or @t193 @t192)) % 161.64/162.03 (define @t195 () (@list tptp.b tptp.b)) % 161.64/162.03 (define @t196 () (_ @t112 @t111 tptp.b)) % 161.64/162.03 (define @t197 () (_ @t110 (_ @t109 @t135 @t196) tptp.b)) % 161.64/162.03 (define @t198 () (not @t139)) % 161.64/162.03 (define @t199 () (or @t198 @t197)) % 161.64/162.03 (define @t200 () (@list tptp.a tptp.a)) % 161.64/162.03 (define @t201 () (_ @t112 @t111 tptp.a)) % 161.64/162.03 (define @t202 () (_ @t110 (_ @t109 @t135 @t201) tptp.a)) % 161.64/162.03 (define @t203 () (not @t140)) % 161.64/162.03 (define @t204 () (or @t203 @t202)) % 161.64/162.03 (define @t205 () (_ @t110 (_ @t109 (_ @t108 @t131 tptp.a) tptp.b) tptp.c)) % 161.64/162.03 (define @t206 () (not @t192)) % 161.64/162.03 (define @t207 () (not @t197)) % 161.64/162.03 (define @t208 () (not @t202)) % 161.64/162.03 (define @t209 () (not @t141)) % 161.64/162.03 (define @t210 () (or @t209 @t208 @t207 @t206 @t205)) % 161.64/162.03 (define @t211 () (@list false false false false false)) % 161.64/162.03 (define @t212 () (_ @t110 (_ @t109 @t129 @t196) tptp.b)) % 161.64/162.03 (define @t213 () (not @t133)) % 161.64/162.03 (define @t214 () (or @t213 @t212)) % 161.64/162.03 (define @t215 () (_ @t110 (_ @t109 @t129 @t201) tptp.a)) % 161.64/162.03 (define @t216 () (not @t134)) % 161.64/162.03 (define @t217 () (or @t216 @t215)) % 161.64/162.03 (define @t218 () (_ @t110 (_ @t109 (_ @t108 @t125 tptp.a) tptp.b) tptp.c)) % 161.64/162.03 (define @t219 () (not @t189)) % 161.64/162.03 (define @t220 () (not @t212)) % 161.64/162.03 (define @t221 () (not @t215)) % 161.64/162.03 (define @t222 () (not @t205)) % 161.64/162.03 (define @t223 () (or @t222 @t221 @t220 @t219 @t218)) % 161.64/162.03 (define @t224 () (_ @t110 (_ @t109 @t123 @t196) tptp.b)) % 161.64/162.03 (define @t225 () (not @t127)) % 161.64/162.03 (define @t226 () (or @t225 @t224)) % 161.64/162.03 (define @t227 () (_ @t110 (_ @t109 @t123 @t201) tptp.a)) % 161.64/162.03 (define @t228 () (not @t128)) % 161.64/162.03 (define @t229 () (or @t228 @t227)) % 161.64/162.03 (define @t230 () (_ @t110 (_ @t109 (_ @t108 @t118 tptp.a) tptp.b) tptp.c)) % 161.64/162.03 (define @t231 () (not @t185)) % 161.64/162.03 (define @t232 () (not @t224)) % 161.64/162.03 (define @t233 () (not @t227)) % 161.64/162.03 (define @t234 () (not @t218)) % 161.64/162.03 (define @t235 () (or @t234 @t233 @t232 @t231 @t230)) % 161.64/162.03 (define @t236 () (_ @t110 (_ @t109 @t114 @t184) tptp.c)) % 161.64/162.03 (define @t237 () (not @t120)) % 161.64/162.03 (define @t238 () (or @t237 @t236)) % 161.64/162.03 (define @t239 () (_ @t110 (_ @t109 @t114 @t196) tptp.b)) % 161.64/162.03 (define @t240 () (not @t121)) % 161.64/162.03 (define @t241 () (or @t240 @t239)) % 161.64/162.03 (define @t242 () (_ @t110 (_ @t109 @t114 @t201) tptp.a)) % 161.64/162.03 (define @t243 () (not @t122)) % 161.64/162.03 (define @t244 () (or @t243 @t242)) % 161.64/162.03 (define @t245 () (_ @t110 (_ @t109 (_ @t108 @t107 tptp.a) tptp.b) tptp.c)) % 161.64/162.03 (define @t246 () (not @t236)) % 161.64/162.03 (define @t247 () (not @t239)) % 161.64/162.03 (define @t248 () (not @t242)) % 161.64/162.03 (define @t249 () (not @t230)) % 161.64/162.03 (define @t250 () (or @t249 @t248 @t247 @t246 @t245)) % 161.64/162.03 (define @t251 () (not @t250)) % 161.64/162.03 (assume @p1 (not (not @t106))) % 161.64/162.03 (assume @p2 true) % 161.64/162.03 ; WARNING: add trust step for TRUST % 161.64/162.03 ; trust TRUST PREPROCESS_HO_ELIM % 161.64/162.03 (step @p3 :rule trust :premises () :args ((= (and @t105 @t104 @t103 @t102 (forall @t34 @t177) (forall @t31 (or (not @t176) @t175)) (forall @t25 (or (not @t174) (not @t173) (not @t172) (not @t171) @t170)) @t82 @t81 @t80 (forall @t34 @t169) (forall @t31 (or (not @t168) @t167)) (forall @t25 (or (not @t166) (not @t165) (not @t164) (not @t163) @t162)) @t60 @t59 @t58 (forall @t34 @t161) (forall @t31 (or (not @t160) @t159)) (forall @t25 (or (not @t158) (not @t157) (not @t156) (not @t155) @t154)) @t38 @t37 @t36 (forall @t34 @t153) (forall @t31 (or (not @t152) @t151)) (forall @t25 (or (not @t150) (not @t149) (not @t147) (not @t145) @t143)) (forall @t6 (not @t142))) (and @t141 @t140 @t139 @t138 (forall @t34 (_ @t110 (_ @t109 @t135 tptp.d) @t3)) (forall @t31 (or (not (_ @t110 (_ @t109 @t135 @t3) @t2)) (_ @t110 @t136 @t2))) (forall @t25 (or (not (_ @t110 (_ @t109 (_ @t108 @t137 @t3) @t2) @t1)) (not (_ @t110 @t136 @t10)) (not (_ @t110 (_ @t109 @t135 @t115) @t9)) (not (_ @t110 (_ @t109 @t135 @t113) @t8)) (_ @t110 (_ @t109 (_ @t108 @t131 @t10) @t9) @t8))) @t134 @t133 @t132 (forall @t34 (_ @t110 (_ @t109 @t129 tptp.d) @t3)) (forall @t31 (or (not (_ @t110 (_ @t109 @t129 @t3) @t2)) (_ @t110 @t130 @t2))) (forall @t25 (or (not (_ @t110 (_ @t109 (_ @t108 @t131 @t3) @t2) @t1)) (not (_ @t110 @t130 @t10)) (not (_ @t110 (_ @t109 @t129 @t115) @t9)) (not (_ @t110 (_ @t109 @t129 @t113) @t8)) (_ @t110 (_ @t109 (_ @t108 @t125 @t10) @t9) @t8))) @t128 @t127 @t126 (forall @t34 (_ @t110 (_ @t109 @t123 tptp.d) @t3)) (forall @t31 (or (not (_ @t110 (_ @t109 @t123 @t3) @t2)) (_ @t110 @t124 @t2))) (forall @t25 (or (not (_ @t110 (_ @t109 (_ @t108 @t125 @t3) @t2) @t1)) (not (_ @t110 @t124 @t10)) (not (_ @t110 (_ @t109 @t123 @t115) @t9)) (not (_ @t110 (_ @t109 @t123 @t113) @t8)) (_ @t110 (_ @t109 (_ @t108 @t118 @t10) @t9) @t8))) @t122 @t121 @t120 (forall @t34 (_ @t110 (_ @t109 @t114 tptp.d) @t3)) (forall @t31 (or (not (_ @t110 (_ @t109 @t114 @t3) @t2)) (_ @t110 @t117 @t2))) @t119 (forall @t6 (not (_ @t110 (_ @t109 (_ @t108 @t107 @t3) @t2) @t1))))))) % 161.64/162.03 (step @p4 :rule refl :args (@t142)) % 161.64/162.03 (step @p5 :rule refl :args (@t4)) % 161.64/162.03 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t4 @t142))) % 161.64/162.03 (step @p7 :rule symm :premises (@p6)) % 161.64/162.03 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 161.64/162.03 (step @p9 :rule cong :premises (@p8) :args (@t5)) % 161.64/162.03 (step @p10 :rule cong :premises (@p9) :args (@t7)) % 161.64/162.03 (step @p11 :rule refl :args (@t143)) % 161.64/162.03 (step @p12 :rule refl :args (@t11)) % 161.64/162.03 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t11 @t143))) % 161.64/162.03 (step @p14 :rule symm :premises (@p13)) % 161.64/162.03 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 161.64/162.03 (step @p16 :rule refl :args ((tptp.cP_4 @t12 @t8))) % 161.64/162.03 (step @p17 :rule refl :args (@t8)) % 161.64/162.03 (step @p18 :rule refl :args (@t144)) % 161.64/162.03 (step @p19 :rule cong :premises (@p18 @p17) :args (@t145)) % 161.64/162.03 (step @p20 :rule trans :premises (@p19 @p16)) % 161.64/162.03 (step @p21 :rule refl :args (tptp.cP_4)) % 161.64/162.03 (step @p22 :rule ho_cong :premises (@p21 @p18)) % 161.64/162.03 (step @p23 :rule ho_cong :premises (@p22 @p17)) % 161.64/162.03 (step @p24 :rule cong :premises (@p23 @p20) :args ((= (_ (_ tptp.cP_4 @t144) @t8) @t145))) % 161.64/162.03 (step @p25 :rule symm :premises (@p24)) % 161.64/162.03 (step @p26 :rule refl :args (@t13)) % 161.64/162.03 (step @p27 :rule eq_resolve :premises (@p26 @p25)) % 161.64/162.03 (step @p28 :rule refl :args (@t12)) % 161.64/162.03 (step @p29 :rule cong :premises (@p28 @p18) :args ((= @t12 @t144))) % 161.64/162.03 (step @p30 :rule symm :premises (@p29)) % 161.64/162.03 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 161.64/162.03 (step @p32 :rule ho_cong :premises (@p21 @p31)) % 161.64/162.03 (step @p33 :rule ho_cong :premises (@p32 @p17)) % 161.64/162.03 (step @p34 :rule trans :premises (@p33 @p27)) % 161.64/162.03 (step @p35 :rule cong :premises (@p34) :args (@t14)) % 161.64/162.03 (step @p36 :rule refl :args ((tptp.cP_4 @t15 @t9))) % 161.64/162.03 (step @p37 :rule refl :args (@t9)) % 161.64/162.03 (step @p38 :rule refl :args (@t146)) % 161.64/162.03 (step @p39 :rule cong :premises (@p38 @p37) :args (@t147)) % 161.64/162.03 (step @p40 :rule trans :premises (@p39 @p36)) % 161.64/162.03 (step @p41 :rule ho_cong :premises (@p21 @p38)) % 161.64/162.03 (step @p42 :rule ho_cong :premises (@p41 @p37)) % 161.64/162.03 (step @p43 :rule cong :premises (@p42 @p40) :args ((= (_ (_ tptp.cP_4 @t146) @t9) @t147))) % 161.64/162.03 (step @p44 :rule symm :premises (@p43)) % 161.64/162.03 (step @p45 :rule refl :args (@t16)) % 161.64/162.03 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 161.64/162.03 (step @p47 :rule refl :args (@t15)) % 161.64/162.03 (step @p48 :rule cong :premises (@p47 @p38) :args ((= @t15 @t146))) % 161.64/162.03 (step @p49 :rule symm :premises (@p48)) % 161.64/162.03 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 161.64/162.03 (step @p51 :rule ho_cong :premises (@p21 @p50)) % 161.64/162.03 (step @p52 :rule ho_cong :premises (@p51 @p37)) % 161.64/162.03 (step @p53 :rule trans :premises (@p52 @p46)) % 161.64/162.03 (step @p54 :rule cong :premises (@p53) :args (@t17)) % 161.64/162.03 (step @p55 :rule refl :args ((tptp.cP_4 @t18 @t10))) % 161.64/162.03 (step @p56 :rule refl :args (@t10)) % 161.64/162.03 (step @p57 :rule refl :args (@t148)) % 161.64/162.03 (step @p58 :rule cong :premises (@p57 @p56) :args (@t149)) % 161.64/162.03 (step @p59 :rule trans :premises (@p58 @p55)) % 161.64/162.03 (step @p60 :rule ho_cong :premises (@p21 @p57)) % 161.64/162.03 (step @p61 :rule ho_cong :premises (@p60 @p56)) % 161.64/162.03 (step @p62 :rule cong :premises (@p61 @p59) :args ((= (_ @t178 @t10) @t149))) % 161.64/162.03 (step @p63 :rule symm :premises (@p62)) % 161.64/162.03 (step @p64 :rule refl :args (@t20)) % 161.64/162.03 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 161.64/162.03 (step @p66 :rule refl :args (@t18)) % 161.64/162.03 (step @p67 :rule cong :premises (@p66 @p57) :args ((= @t18 @t148))) % 161.64/162.03 (step @p68 :rule symm :premises (@p67)) % 161.64/162.03 (step @p69 :rule eq_resolve :premises (@p66 @p68)) % 161.64/162.03 (step @p70 :rule ho_cong :premises (@p21 @p69)) % 161.64/162.03 (step @p71 :rule ho_cong :premises (@p70 @p56)) % 161.64/162.03 (step @p72 :rule trans :premises (@p71 @p65)) % 161.64/162.03 (step @p73 :rule cong :premises (@p72) :args (@t21)) % 161.64/162.03 (step @p74 :rule refl :args (@t150)) % 161.64/162.03 (step @p75 :rule refl :args (@t22)) % 161.64/162.03 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t22 @t150))) % 161.64/162.03 (step @p77 :rule symm :premises (@p76)) % 161.64/162.03 (step @p78 :rule eq_resolve :premises (@p75 @p77)) % 161.64/162.03 (step @p79 :rule cong :premises (@p78) :args (@t23)) % 161.64/162.03 (step @p80 :rule nary_cong :premises (@p79 @p73 @p54 @p35 @p15) :args (@t24)) % 161.64/162.03 (step @p81 :rule cong :premises (@p80) :args (@t26)) % 161.64/162.03 (step @p82 :rule refl :args ((tptp.cP_4 @t18 @t2))) % 161.64/162.03 (step @p83 :rule refl :args (@t2)) % 161.64/162.03 (step @p84 :rule cong :premises (@p57 @p83) :args (@t151)) % 161.64/162.03 (step @p85 :rule trans :premises (@p84 @p82)) % 161.64/162.03 (step @p86 :rule ho_cong :premises (@p60 @p83)) % 161.64/162.03 (step @p87 :rule cong :premises (@p86 @p85) :args ((= (_ @t178 @t2) @t151))) % 161.64/162.03 (step @p88 :rule symm :premises (@p87)) % 161.64/162.03 (step @p89 :rule refl :args (@t27)) % 161.64/162.03 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 161.64/162.03 (step @p91 :rule ho_cong :premises (@p70 @p83)) % 161.64/162.03 (step @p92 :rule trans :premises (@p91 @p90)) % 161.64/162.03 (step @p93 :rule refl :args (@t152)) % 161.64/162.03 (step @p94 :rule refl :args (@t28)) % 161.64/162.03 (step @p95 :rule cong :premises (@p94 @p93) :args ((= @t28 @t152))) % 161.64/162.03 (step @p96 :rule symm :premises (@p95)) % 161.64/162.03 (step @p97 :rule eq_resolve :premises (@p94 @p96)) % 161.64/162.03 (step @p98 :rule cong :premises (@p97) :args (@t29)) % 161.64/162.03 (step @p99 :rule nary_cong :premises (@p98 @p92) :args (@t30)) % 161.64/162.03 (step @p100 :rule cong :premises (@p99) :args (@t32)) % 161.64/162.03 (step @p101 :rule refl :args (@t153)) % 161.64/162.03 (step @p102 :rule refl :args (@t33)) % 161.64/162.03 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t33 @t153))) % 161.64/162.03 (step @p104 :rule symm :premises (@p103)) % 161.64/162.03 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 161.64/162.03 (step @p106 :rule cong :premises (@p105) :args (@t35)) % 161.64/162.03 (step @p107 :rule refl :args (@t36)) % 161.64/162.03 (step @p108 :rule refl :args (@t37)) % 161.64/162.03 (step @p109 :rule refl :args (@t38)) % 161.64/162.03 (step @p110 :rule refl :args (@t154)) % 161.64/162.03 (step @p111 :rule refl :args (@t39)) % 161.64/162.03 (step @p112 :rule cong :premises (@p111 @p110) :args ((= @t39 @t154))) % 161.64/162.03 (step @p113 :rule symm :premises (@p112)) % 161.64/162.03 (step @p114 :rule eq_resolve :premises (@p111 @p113)) % 161.64/162.03 (step @p115 :rule refl :args ((tptp.cP_3 @t12 @t8))) % 161.64/162.03 (step @p116 :rule cong :premises (@p18 @p17) :args (@t155)) % 161.64/162.03 (step @p117 :rule trans :premises (@p116 @p115)) % 161.64/162.03 (step @p118 :rule refl :args (tptp.cP_3)) % 161.64/162.03 (step @p119 :rule ho_cong :premises (@p118 @p18)) % 161.64/162.03 (step @p120 :rule ho_cong :premises (@p119 @p17)) % 161.64/162.03 (step @p121 :rule cong :premises (@p120 @p117) :args ((= (_ (_ tptp.cP_3 @t144) @t8) @t155))) % 161.64/162.03 (step @p122 :rule symm :premises (@p121)) % 161.64/162.03 (step @p123 :rule refl :args (@t40)) % 161.64/162.03 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 161.64/162.03 (step @p125 :rule ho_cong :premises (@p118 @p31)) % 161.64/162.03 (step @p126 :rule ho_cong :premises (@p125 @p17)) % 161.64/162.03 (step @p127 :rule trans :premises (@p126 @p124)) % 161.64/162.03 (step @p128 :rule cong :premises (@p127) :args (@t41)) % 161.64/162.03 (step @p129 :rule refl :args ((tptp.cP_3 @t15 @t9))) % 161.64/162.03 (step @p130 :rule cong :premises (@p38 @p37) :args (@t156)) % 161.64/162.03 (step @p131 :rule trans :premises (@p130 @p129)) % 161.64/162.03 (step @p132 :rule ho_cong :premises (@p118 @p38)) % 161.64/162.03 (step @p133 :rule ho_cong :premises (@p132 @p37)) % 161.64/162.03 (step @p134 :rule cong :premises (@p133 @p131) :args ((= (_ (_ tptp.cP_3 @t146) @t9) @t156))) % 161.64/162.03 (step @p135 :rule symm :premises (@p134)) % 161.64/162.03 (step @p136 :rule refl :args (@t42)) % 161.64/162.03 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 161.64/162.03 (step @p138 :rule ho_cong :premises (@p118 @p50)) % 161.64/162.03 (step @p139 :rule ho_cong :premises (@p138 @p37)) % 161.64/162.03 (step @p140 :rule trans :premises (@p139 @p137)) % 161.64/162.03 (step @p141 :rule cong :premises (@p140) :args (@t43)) % 161.64/162.03 (step @p142 :rule refl :args ((tptp.cP_3 @t18 @t10))) % 161.64/162.03 (step @p143 :rule cong :premises (@p57 @p56) :args (@t157)) % 161.64/162.03 (step @p144 :rule trans :premises (@p143 @p142)) % 161.64/162.03 (step @p145 :rule ho_cong :premises (@p118 @p57)) % 161.64/162.03 (step @p146 :rule ho_cong :premises (@p145 @p56)) % 161.64/162.03 (step @p147 :rule cong :premises (@p146 @p144) :args ((= (_ @t179 @t10) @t157))) % 161.64/162.03 (step @p148 :rule symm :premises (@p147)) % 161.64/162.03 (step @p149 :rule refl :args (@t45)) % 161.64/162.03 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 161.64/162.03 (step @p151 :rule ho_cong :premises (@p118 @p69)) % 161.64/162.03 (step @p152 :rule ho_cong :premises (@p151 @p56)) % 161.64/162.03 (step @p153 :rule trans :premises (@p152 @p150)) % 161.64/162.03 (step @p154 :rule cong :premises (@p153) :args (@t46)) % 161.64/162.03 (step @p155 :rule refl :args (@t158)) % 161.64/162.03 (step @p156 :rule refl :args (@t47)) % 161.64/162.03 (step @p157 :rule cong :premises (@p156 @p155) :args ((= @t47 @t158))) % 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(@t227 @t188 (@list @t128 @t229))) % 161.64/162.04 (step @p418 :rule cnf_or_pos :args (@t235)) % 161.64/162.04 (step @p419 :rule reordering :premises (@p418) :args ((or @t233 @t232 @t234 @t231 @t230 (not @t235)))) % 161.64/162.04 (step @p420 :rule chain_m_resolution :premises (@p419 @p417 @p412 @p407 @p364 @p358) :args (@t230 @t211 (@list @t227 @t224 @t218 @t185 @t235))) % 161.64/162.04 (step @p421 :rule and_elim :premises (@p355) :args (25)) % 161.64/162.04 (step @p422 :rule instantiate :premises (@p421) :args ((@list tptp.a tptp.b tptp.c))) % 161.64/162.04 (step @p423 :rule and_elim :premises (@p355) :args (23)) % 161.64/162.04 (step @p424 :rule instantiate :premises (@p423) :args (@t183)) % 161.64/162.04 (step @p425 :rule and_elim :premises (@p355) :args (21)) % 161.64/162.04 (step @p426 :rule cnf_or_pos :args (@t238)) % 161.64/162.04 (step @p427 :rule reordering :premises (@p426) :args ((or @t237 @t236 (not @t238)))) % 161.64/162.04 (step @p428 :rule chain_m_resolution :premises (@p427 @p425 @p424) :args (@t236 @t188 (@list @t120 @t238))) % 161.64/162.04 (step @p429 :rule instantiate :premises (@p423) :args (@t195)) % 161.64/162.04 (step @p430 :rule and_elim :premises (@p355) :args (20)) % 161.64/162.04 (step @p431 :rule cnf_or_pos :args (@t241)) % 161.64/162.04 (step @p432 :rule reordering :premises (@p431) :args ((or @t240 @t239 (not @t241)))) % 161.64/162.04 (step @p433 :rule chain_m_resolution :premises (@p432 @p430 @p429) :args (@t239 @t188 (@list @t121 @t241))) % 161.64/162.04 (step @p434 :rule instantiate :premises (@p423) :args (@t200)) % 161.64/162.04 (step @p435 :rule and_elim :premises (@p355) :args (19)) % 161.64/162.04 (step @p436 :rule cnf_or_pos :args (@t244)) % 161.64/162.04 (step @p437 :rule reordering :premises (@p436) :args ((or @t243 @t242 (not @t244)))) % 161.64/162.04 (step @p438 :rule chain_m_resolution :premises (@p437 @p435 @p434) :args (@t242 @t188 (@list @t122 @t244))) % 161.64/162.04 (step @p439 :rule cnf_or_pos :args (@t250)) % 161.64/162.04 (step @p440 :rule reordering :premises (@p439) :args ((or @t248 @t247 @t246 @t245 @t249 @t251))) % 161.64/162.04 (step @p441 :rule chain_m_resolution :premises (@p440 @p438 @p433 @p428 @p422 @p420) :args (@t251 (@list false false false true false) (@list @t242 @t239 @t236 @t245 @t230))) % 161.64/162.04 (assume-push @p448 @t119) % 161.64/162.04 (step @p443 :rule instantiate :premises (@p356) :args (@t182)) % 161.64/162.04 (step-pop @p449 :rule scope :premises (@p443)) % 161.64/162.04 (step @p444 :rule process_scope :premises (@p449) :args (@t250)) % 161.64/162.04 (step @p446 :rule implies_elim :premises (@p444)) % 161.64/162.04 (step @p447 false :rule chain_m_resolution :premises (@p446 @p441 @p356) :args (false (@list true false) (@list @t250 @t119))) % 161.64/162.04 ) % 161.64/162.04 % SZS output end Proof % 161.64/162.04 % cvc5 exiting %------------------------------------------------------------------------------