%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO386^5 : 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 : n005.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 167.26s 167.59s % Output : Proof 167.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO386^5 : 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 : n005.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 00:06:18 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.51 %----Proving TH0 % 167.26/167.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 167.26/167.59 --- 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... % 167.26/167.59 --- 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... % 167.26/167.59 --- Run --ho-elim --full-saturate-quant at 18s... % 167.26/167.59 % SZS status Theorem % 167.26/167.59 % SZS output start Proof % 167.26/167.59 ( % 167.26/167.59 (declare-sort $$unsorted 0) % 167.26/167.59 (declare-const tptp.cP_1 (-> $$unsorted $$unsorted Bool)) % 167.26/167.59 (declare-const tptp.cQ_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 167.26/167.59 (declare-const tptp.cP_2 (-> $$unsorted $$unsorted Bool)) % 167.26/167.59 (declare-const tptp.a $$unsorted) % 167.26/167.59 (declare-const tptp.b $$unsorted) % 167.26/167.59 (declare-const tptp.c $$unsorted) % 167.26/167.59 (declare-const tptp.d $$unsorted) % 167.26/167.59 (declare-const tptp.cQ_3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 167.26/167.59 (declare-const tptp.cP_3 (-> $$unsorted $$unsorted Bool)) % 167.26/167.59 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 167.26/167.59 (declare-const tptp.cQ_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 167.26/167.59 (declare-const tptp.cQ_4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 167.26/167.59 (define @t1 () (@var "Xz" $$unsorted)) % 167.26/167.59 (define @t2 () (@var "Xy" $$unsorted)) % 167.26/167.59 (define @t3 () (@var "Xx" $$unsorted)) % 167.26/167.59 (define @t4 () (_ (_ (_ tptp.cQ_4 @t3) @t2) @t1)) % 167.26/167.59 (define @t5 () (not @t4)) % 167.26/167.59 (define @t6 () (@list @t3 @t2 @t1)) % 167.26/167.59 (define @t7 () (forall @t6 @t5)) % 167.26/167.59 (define @t8 () (@var "Xw" $$unsorted)) % 167.26/167.59 (define @t9 () (@var "Xv" $$unsorted)) % 167.26/167.59 (define @t10 () (@var "Xu" $$unsorted)) % 167.26/167.59 (define @t11 () (_ (_ (_ tptp.cQ_4 @t10) @t9) @t8)) % 167.26/167.59 (define @t12 () (_ tptp.f @t1)) % 167.26/167.59 (define @t13 () (_ (_ tptp.cP_3 @t12) @t8)) % 167.26/167.59 (define @t14 () (not @t13)) % 167.26/167.59 (define @t15 () (_ tptp.f @t2)) % 167.26/167.59 (define @t16 () (_ (_ tptp.cP_3 @t15) @t9)) % 167.26/167.59 (define @t17 () (not @t16)) % 167.26/167.59 (define @t18 () (_ tptp.f @t3)) % 167.26/167.59 (define @t19 () (_ tptp.cP_3 @t18)) % 167.26/167.59 (define @t20 () (_ @t19 @t10)) % 167.26/167.59 (define @t21 () (not @t20)) % 167.26/167.59 (define @t22 () (_ (_ (_ tptp.cQ_3 @t3) @t2) @t1)) % 167.26/167.59 (define @t23 () (not @t22)) % 167.26/167.59 (define @t24 () (or @t23 @t21 @t17 @t14 @t11)) % 167.26/167.59 (define @t25 () (@list @t3 @t2 @t1 @t10 @t9 @t8)) % 167.26/167.59 (define @t26 () (forall @t25 @t24)) % 167.26/167.59 (define @t27 () (_ @t19 @t2)) % 167.26/167.59 (define @t28 () (_ (_ tptp.cP_3 @t3) @t2)) % 167.26/167.59 (define @t29 () (not @t28)) % 167.26/167.59 (define @t30 () (or @t29 @t27)) % 167.26/167.59 (define @t31 () (@list @t3 @t2)) % 167.26/167.59 (define @t32 () (forall @t31 @t30)) % 167.26/167.59 (define @t33 () (_ (_ tptp.cP_3 tptp.d) @t3)) % 167.26/167.59 (define @t34 () (@list @t3)) % 167.26/167.59 (define @t35 () (forall @t34 @t33)) % 167.26/167.59 (define @t36 () (_ (_ tptp.cP_3 tptp.c) tptp.c)) % 167.26/167.59 (define @t37 () (_ (_ tptp.cP_3 tptp.b) tptp.b)) % 167.26/167.59 (define @t38 () (_ (_ tptp.cP_3 tptp.a) tptp.a)) % 167.26/167.59 (define @t39 () (_ (_ (_ tptp.cQ_3 @t10) @t9) @t8)) % 167.26/167.59 (define @t40 () (_ (_ tptp.cP_2 @t12) @t8)) % 167.26/167.59 (define @t41 () (not @t40)) % 167.26/167.59 (define @t42 () (_ (_ tptp.cP_2 @t15) @t9)) % 167.26/167.59 (define @t43 () (not @t42)) % 167.26/167.59 (define @t44 () (_ tptp.cP_2 @t18)) % 167.26/167.59 (define @t45 () (_ @t44 @t10)) % 167.26/167.59 (define @t46 () (not @t45)) % 167.26/167.59 (define @t47 () (_ (_ (_ tptp.cQ_2 @t3) @t2) @t1)) % 167.26/167.59 (define @t48 () (not @t47)) % 167.26/167.59 (define @t49 () (or @t48 @t46 @t43 @t41 @t39)) % 167.26/167.59 (define @t50 () (forall @t25 @t49)) % 167.26/167.59 (define @t51 () (_ @t44 @t2)) % 167.26/167.59 (define @t52 () (_ (_ tptp.cP_2 @t3) @t2)) % 167.26/167.59 (define @t53 () (not @t52)) % 167.26/167.59 (define @t54 () (or @t53 @t51)) % 167.26/167.59 (define @t55 () (forall @t31 @t54)) % 167.26/167.59 (define @t56 () (_ (_ tptp.cP_2 tptp.d) @t3)) % 167.26/167.59 (define @t57 () (forall @t34 @t56)) % 167.26/167.59 (define @t58 () (_ (_ tptp.cP_2 tptp.c) tptp.c)) % 167.26/167.59 (define @t59 () (_ (_ tptp.cP_2 tptp.b) tptp.b)) % 167.26/167.59 (define @t60 () (_ (_ tptp.cP_2 tptp.a) tptp.a)) % 167.26/167.59 (define @t61 () (_ (_ (_ tptp.cQ_2 @t10) @t9) @t8)) % 167.26/167.59 (define @t62 () (_ (_ tptp.cP_1 @t12) @t8)) % 167.26/167.59 (define @t63 () (not @t62)) % 167.26/167.59 (define @t64 () (_ (_ tptp.cP_1 @t15) @t9)) % 167.26/167.59 (define @t65 () (not @t64)) % 167.26/167.59 (define @t66 () (_ tptp.cP_1 @t18)) % 167.26/167.59 (define @t67 () (_ @t66 @t10)) % 167.26/167.59 (define @t68 () (not @t67)) % 167.26/167.59 (define @t69 () (_ (_ (_ tptp.cQ_1 @t3) @t2) @t1)) % 167.26/167.59 (define @t70 () (not @t69)) % 167.26/167.59 (define @t71 () (or @t70 @t68 @t65 @t63 @t61)) % 167.26/167.59 (define @t72 () (forall @t25 @t71)) % 167.26/167.59 (define @t73 () (_ @t66 @t2)) % 167.26/167.59 (define @t74 () (_ (_ tptp.cP_1 @t3) @t2)) % 167.26/167.59 (define @t75 () (not @t74)) % 167.26/167.59 (define @t76 () (or @t75 @t73)) % 167.26/167.59 (define @t77 () (forall @t31 @t76)) % 167.26/167.59 (define @t78 () (_ (_ tptp.cP_1 tptp.d) @t3)) % 167.26/167.59 (define @t79 () (forall @t34 @t78)) % 167.26/167.59 (define @t80 () (_ (_ tptp.cP_1 tptp.c) tptp.c)) % 167.26/167.59 (define @t81 () (_ (_ tptp.cP_1 tptp.b) tptp.b)) % 167.26/167.59 (define @t82 () (_ (_ tptp.cP_1 tptp.a) tptp.a)) % 167.26/167.59 (define @t83 () (_ (_ (_ tptp.cQ_1 tptp.a) tptp.b) tptp.c)) % 167.26/167.59 (define @t84 () (and @t83 @t82 @t81 @t80 @t79 @t77 @t72 @t60 @t59 @t58 @t57 @t55 @t50 @t38 @t37 @t36 @t35 @t32 @t26 @t7)) % 167.26/167.59 (define @t85 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 167.26/167.59 (define @t86 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))) % 167.26/167.59 (define @t87 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 167.26/167.59 (define @t88 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 167.26/167.59 (define @t89 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 167.26/167.59 (define @t90 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 167.26/167.59 (define @t91 () (_ @t90 @t89 @t1)) % 167.26/167.59 (define @t92 () (@const 6 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 167.26/167.59 (define @t93 () (_ @t90 @t89 @t2)) % 167.26/167.59 (define @t94 () (_ @t90 @t89 @t3)) % 167.26/167.59 (define @t95 () (_ @t87 @t92 @t94)) % 167.26/167.59 (define @t96 () (@const 7 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 167.26/167.59 (define @t97 () (_ @t88 (_ @t87 @t92 tptp.c) tptp.c)) % 167.26/167.59 (define @t98 () (_ @t88 (_ @t87 @t92 tptp.b) tptp.b)) % 167.26/167.59 (define @t99 () (_ @t88 (_ @t87 @t92 tptp.a) tptp.a)) % 167.26/167.59 (define @t100 () (@const 8 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 167.26/167.59 (define @t101 () (_ @t87 @t100 @t94)) % 167.26/167.59 (define @t102 () (@const 9 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 167.26/167.59 (define @t103 () (forall @t25 (or (not (_ @t88 (_ @t87 (_ @t86 @t102 @t3) @t2) @t1)) (not (_ @t88 @t101 @t10)) (not (_ @t88 (_ @t87 @t100 @t93) @t9)) (not (_ @t88 (_ @t87 @t100 @t91) @t8)) (_ @t88 (_ @t87 (_ @t86 @t96 @t10) @t9) @t8)))) % 167.26/167.59 (define @t104 () (_ @t88 (_ @t87 @t100 tptp.c) tptp.c)) % 167.26/167.59 (define @t105 () (_ @t88 (_ @t87 @t100 tptp.b) tptp.b)) % 167.26/167.59 (define @t106 () (_ @t88 (_ @t87 @t100 tptp.a) tptp.a)) % 167.26/167.59 (define @t107 () (@const 10 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 167.26/167.59 (define @t108 () (_ @t87 @t107 @t94)) % 167.26/167.59 (define @t109 () (@const 11 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 167.26/167.59 (define @t110 () (_ @t88 (_ @t87 @t107 tptp.c) tptp.c)) % 167.26/167.59 (define @t111 () (_ @t88 (_ @t87 @t107 tptp.b) tptp.b)) % 167.26/167.59 (define @t112 () (_ @t88 (_ @t87 @t107 tptp.a) tptp.a)) % 167.26/167.59 (define @t113 () (_ @t88 (_ @t87 (_ @t86 @t109 tptp.a) tptp.b) tptp.c)) % 167.26/167.59 (define @t114 () (tptp.cQ_4 @t3 @t2 @t1)) % 167.26/167.59 (define @t115 () (tptp.cQ_4 @t10 @t9 @t8)) % 167.26/167.59 (define @t116 () (tptp.f @t1)) % 167.26/167.59 (define @t117 () (tptp.cP_3 @t116 @t8)) % 167.26/167.59 (define @t118 () (tptp.f @t2)) % 167.26/167.59 (define @t119 () (tptp.cP_3 @t118 @t9)) % 167.26/167.59 (define @t120 () (tptp.f @t3)) % 167.26/167.59 (define @t121 () (tptp.cP_3 @t120 @t10)) % 167.26/167.59 (define @t122 () (tptp.cQ_3 @t3 @t2 @t1)) % 167.26/167.59 (define @t123 () (tptp.cP_3 @t120 @t2)) % 167.26/167.59 (define @t124 () (tptp.cP_3 @t3 @t2)) % 167.26/167.59 (define @t125 () (tptp.cP_3 tptp.d @t3)) % 167.26/167.59 (define @t126 () (tptp.cQ_3 @t10 @t9 @t8)) % 167.26/167.59 (define @t127 () (tptp.cP_2 @t116 @t8)) % 167.26/167.59 (define @t128 () (tptp.cP_2 @t118 @t9)) % 167.26/167.59 (define @t129 () (tptp.cP_2 @t120 @t10)) % 167.26/167.59 (define @t130 () (tptp.cQ_2 @t3 @t2 @t1)) % 167.26/167.59 (define @t131 () (tptp.cP_2 @t120 @t2)) % 167.26/167.59 (define @t132 () (tptp.cP_2 @t3 @t2)) % 167.26/167.59 (define @t133 () (tptp.cP_2 tptp.d @t3)) % 167.26/167.59 (define @t134 () (tptp.cQ_2 @t10 @t9 @t8)) % 167.26/167.59 (define @t135 () (tptp.cP_1 @t116 @t8)) % 167.26/167.59 (define @t136 () (tptp.cP_1 @t118 @t9)) % 167.26/167.59 (define @t137 () (tptp.cP_1 @t120 @t10)) % 167.26/167.59 (define @t138 () (tptp.cQ_1 @t3 @t2 @t1)) % 167.26/167.59 (define @t139 () (tptp.cP_1 @t120 @t2)) % 167.26/167.59 (define @t140 () (tptp.cP_1 @t3 @t2)) % 167.26/167.59 (define @t141 () (tptp.cP_1 tptp.d @t3)) % 167.26/167.59 (define @t142 () (_ tptp.cP_3 @t120)) % 167.26/167.59 (define @t143 () (_ tptp.cP_2 @t120)) % 167.26/167.59 (define @t144 () (_ tptp.cP_1 @t120)) % 167.26/167.59 (define @t145 () (@list tptp.c tptp.c)) % 167.26/167.59 (define @t146 () (_ @t90 @t89 tptp.c)) % 167.26/167.59 (define @t147 () (_ @t88 (_ @t87 @t100 @t146) tptp.c)) % 167.26/167.59 (define @t148 () (not @t104)) % 167.26/167.59 (define @t149 () (or @t148 @t147)) % 167.26/167.59 (define @t150 () (@list false false)) % 167.26/167.59 (define @t151 () (@list tptp.a tptp.b tptp.c tptp.a tptp.b tptp.c)) % 167.26/167.59 (define @t152 () (_ @t88 (_ @t87 @t92 @t146) tptp.c)) % 167.26/167.59 (define @t153 () (not @t97)) % 167.26/167.59 (define @t154 () (or @t153 @t152)) % 167.26/167.59 (define @t155 () (@list tptp.b tptp.b)) % 167.26/167.59 (define @t156 () (_ @t90 @t89 tptp.b)) % 167.26/167.59 (define @t157 () (_ @t88 (_ @t87 @t92 @t156) tptp.b)) % 167.26/167.59 (define @t158 () (not @t98)) % 167.26/167.59 (define @t159 () (or @t158 @t157)) % 167.26/167.59 (define @t160 () (@list tptp.a tptp.a)) % 167.26/167.59 (define @t161 () (_ @t90 @t89 tptp.a)) % 167.26/167.59 (define @t162 () (_ @t88 (_ @t87 @t92 @t161) tptp.a)) % 167.26/167.59 (define @t163 () (not @t99)) % 167.26/167.59 (define @t164 () (or @t163 @t162)) % 167.26/167.59 (define @t165 () (_ @t88 (_ @t87 (_ @t86 @t85 tptp.a) tptp.b) tptp.c)) % 167.26/167.59 (define @t166 () (not @t152)) % 167.26/167.59 (define @t167 () (not @t157)) % 167.26/167.59 (define @t168 () (not @t162)) % 167.26/167.59 (define @t169 () (_ @t88 (_ @t87 (_ @t86 @t96 tptp.a) tptp.b) tptp.c)) % 167.26/167.59 (define @t170 () (not @t169)) % 167.26/167.59 (define @t171 () (or @t170 @t168 @t167 @t166 @t165)) % 167.26/167.59 (define @t172 () (@list false false false true false)) % 167.26/167.59 (define @t173 () (_ @t88 (_ @t87 @t107 @t146) tptp.c)) % 167.26/167.59 (define @t174 () (not @t110)) % 167.26/167.59 (define @t175 () (or @t174 @t173)) % 167.26/167.59 (define @t176 () (_ @t88 (_ @t87 @t107 @t156) tptp.b)) % 167.26/167.59 (define @t177 () (not @t111)) % 167.26/167.59 (define @t178 () (or @t177 @t176)) % 167.26/167.59 (define @t179 () (_ @t88 (_ @t87 @t107 @t161) tptp.a)) % 167.26/167.59 (define @t180 () (not @t112)) % 167.26/167.59 (define @t181 () (or @t180 @t179)) % 167.26/167.59 (define @t182 () (_ @t88 (_ @t87 (_ @t86 @t102 tptp.a) tptp.b) tptp.c)) % 167.26/167.59 (define @t183 () (not @t173)) % 167.26/167.59 (define @t184 () (not @t176)) % 167.26/167.59 (define @t185 () (not @t179)) % 167.26/167.59 (define @t186 () (not @t113)) % 167.26/167.59 (define @t187 () (or @t186 @t185 @t184 @t183 @t182)) % 167.26/167.59 (define @t188 () (_ @t88 (_ @t87 @t100 @t156) tptp.b)) % 167.26/167.59 (define @t189 () (not @t105)) % 167.26/167.59 (define @t190 () (or @t189 @t188)) % 167.26/167.59 (define @t191 () (_ @t88 (_ @t87 @t100 @t161) tptp.a)) % 167.26/167.59 (define @t192 () (not @t106)) % 167.26/167.59 (define @t193 () (or @t192 @t191)) % 167.26/167.59 (define @t194 () (not @t147)) % 167.26/167.59 (define @t195 () (not @t188)) % 167.26/167.59 (define @t196 () (not @t191)) % 167.26/167.59 (define @t197 () (not @t182)) % 167.26/167.59 (define @t198 () (or @t197 @t196 @t195 @t194 @t169)) % 167.26/167.59 (define @t199 () (not @t198)) % 167.26/167.59 (assume @p1 (not (not @t84))) % 167.26/167.59 (assume @p2 true) % 167.26/167.59 ; WARNING: add trust step for TRUST % 167.26/167.59 ; trust TRUST PREPROCESS_HO_ELIM % 167.26/167.59 (step @p3 :rule trust :premises () :args ((= (and @t83 @t82 @t81 @t80 (forall @t34 @t141) (forall @t31 (or (not @t140) @t139)) (forall @t25 (or (not @t138) (not @t137) (not @t136) (not @t135) @t134)) @t60 @t59 @t58 (forall @t34 @t133) (forall @t31 (or (not @t132) @t131)) (forall @t25 (or (not @t130) (not @t129) (not @t128) (not @t127) @t126)) @t38 @t37 @t36 (forall @t34 @t125) (forall @t31 (or (not @t124) @t123)) (forall @t25 (or (not @t122) (not @t121) (not @t119) (not @t117) @t115)) (forall @t6 (not @t114))) (and @t113 @t112 @t111 @t110 (forall @t34 (_ @t88 (_ @t87 @t107 tptp.d) @t3)) (forall @t31 (or (not (_ @t88 (_ @t87 @t107 @t3) @t2)) (_ @t88 @t108 @t2))) (forall @t25 (or (not (_ @t88 (_ @t87 (_ @t86 @t109 @t3) @t2) @t1)) (not (_ @t88 @t108 @t10)) (not (_ @t88 (_ @t87 @t107 @t93) @t9)) (not (_ @t88 (_ @t87 @t107 @t91) @t8)) (_ @t88 (_ @t87 (_ @t86 @t102 @t10) @t9) @t8))) @t106 @t105 @t104 (forall @t34 (_ @t88 (_ @t87 @t100 tptp.d) @t3)) (forall @t31 (or (not (_ @t88 (_ @t87 @t100 @t3) @t2)) (_ @t88 @t101 @t2))) @t103 @t99 @t98 @t97 (forall @t34 (_ @t88 (_ @t87 @t92 tptp.d) @t3)) (forall @t31 (or (not (_ @t88 (_ @t87 @t92 @t3) @t2)) (_ @t88 @t95 @t2))) (forall @t25 (or (not (_ @t88 (_ @t87 (_ @t86 @t96 @t3) @t2) @t1)) (not (_ @t88 @t95 @t10)) (not (_ @t88 (_ @t87 @t92 @t93) @t9)) (not (_ @t88 (_ @t87 @t92 @t91) @t8)) (_ @t88 (_ @t87 (_ @t86 @t85 @t10) @t9) @t8))) (forall @t6 (not (_ @t88 (_ @t87 (_ @t86 @t85 @t3) @t2) @t1))))))) % 167.26/167.59 (step @p4 :rule refl :args (@t114)) % 167.26/167.59 (step @p5 :rule refl :args (@t4)) % 167.26/167.59 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t4 @t114))) % 167.26/167.59 (step @p7 :rule symm :premises (@p6)) % 167.26/167.59 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 167.26/167.59 (step @p9 :rule cong :premises (@p8) :args (@t5)) % 167.26/167.59 (step @p10 :rule cong :premises (@p9) :args (@t7)) % 167.26/167.59 (step @p11 :rule refl :args (@t115)) % 167.26/167.59 (step @p12 :rule refl :args (@t11)) % 167.26/167.59 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t11 @t115))) % 167.26/167.59 (step @p14 :rule symm :premises (@p13)) % 167.26/167.59 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 167.26/167.59 (step @p16 :rule refl :args ((tptp.cP_3 @t12 @t8))) % 167.26/167.59 (step @p17 :rule refl :args (@t8)) % 167.26/167.59 (step @p18 :rule refl :args (@t116)) % 167.26/167.59 (step @p19 :rule cong :premises (@p18 @p17) :args (@t117)) % 167.26/167.59 (step @p20 :rule trans :premises (@p19 @p16)) % 167.26/167.59 (step @p21 :rule refl :args (tptp.cP_3)) % 167.26/167.59 (step @p22 :rule ho_cong :premises (@p21 @p18)) % 167.26/167.59 (step @p23 :rule ho_cong :premises (@p22 @p17)) % 167.26/167.59 (step @p24 :rule cong :premises (@p23 @p20) :args ((= (_ (_ tptp.cP_3 @t116) @t8) @t117))) % 167.26/167.59 (step @p25 :rule symm :premises (@p24)) % 167.26/167.59 (step @p26 :rule refl :args (@t13)) % 167.26/167.59 (step @p27 :rule eq_resolve :premises (@p26 @p25)) % 167.26/167.59 (step @p28 :rule refl :args (@t12)) % 167.26/167.59 (step @p29 :rule cong :premises (@p28 @p18) :args ((= @t12 @t116))) % 167.26/167.59 (step @p30 :rule symm :premises (@p29)) % 167.26/167.59 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 167.26/167.59 (step @p32 :rule ho_cong :premises (@p21 @p31)) % 167.26/167.59 (step @p33 :rule ho_cong :premises (@p32 @p17)) % 167.26/167.59 (step @p34 :rule trans :premises (@p33 @p27)) % 167.26/167.59 (step @p35 :rule cong :premises (@p34) :args (@t14)) % 167.26/167.59 (step @p36 :rule refl :args ((tptp.cP_3 @t15 @t9))) % 167.26/167.59 (step @p37 :rule refl :args (@t9)) % 167.26/167.59 (step @p38 :rule refl :args (@t118)) % 167.26/167.59 (step @p39 :rule cong :premises (@p38 @p37) :args (@t119)) % 167.26/167.59 (step @p40 :rule trans :premises (@p39 @p36)) % 167.26/167.59 (step @p41 :rule ho_cong :premises (@p21 @p38)) % 167.26/167.59 (step @p42 :rule ho_cong :premises (@p41 @p37)) % 167.26/167.59 (step @p43 :rule cong :premises (@p42 @p40) :args ((= (_ (_ tptp.cP_3 @t118) @t9) @t119))) % 167.26/167.59 (step @p44 :rule symm :premises (@p43)) % 167.26/167.59 (step @p45 :rule refl :args (@t16)) % 167.26/167.59 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 167.26/167.59 (step @p47 :rule refl :args (@t15)) % 167.26/167.59 (step @p48 :rule cong :premises (@p47 @p38) :args ((= @t15 @t118))) % 167.26/167.59 (step @p49 :rule symm :premises (@p48)) % 167.26/167.59 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 167.26/167.59 (step @p51 :rule ho_cong :premises (@p21 @p50)) % 167.26/167.59 (step @p52 :rule ho_cong :premises (@p51 @p37)) % 167.26/167.59 (step @p53 :rule trans :premises (@p52 @p46)) % 167.26/167.59 (step @p54 :rule cong :premises (@p53) :args (@t17)) % 167.26/167.59 (step @p55 :rule refl :args ((tptp.cP_3 @t18 @t10))) % 167.26/167.59 (step @p56 :rule refl :args (@t10)) % 167.26/167.59 (step @p57 :rule refl :args (@t120)) % 167.26/167.59 (step @p58 :rule cong :premises (@p57 @p56) :args (@t121)) % 167.26/167.59 (step @p59 :rule trans :premises (@p58 @p55)) % 167.26/167.59 (step @p60 :rule ho_cong :premises (@p21 @p57)) % 167.26/167.59 (step @p61 :rule ho_cong :premises (@p60 @p56)) % 167.26/167.59 (step @p62 :rule cong :premises (@p61 @p59) :args ((= (_ @t142 @t10) @t121))) % 167.26/167.59 (step @p63 :rule symm :premises (@p62)) % 167.26/167.59 (step @p64 :rule refl :args (@t20)) % 167.26/167.59 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 167.26/167.59 (step @p66 :rule refl :args (@t18)) % 167.26/167.59 (step @p67 :rule cong :premises (@p66 @p57) :args ((= @t18 @t120))) % 167.26/167.59 (step @p68 :rule symm :premises (@p67)) % 167.26/167.59 (step @p69 :rule eq_resolve :premises (@p66 @p68)) % 167.26/167.59 (step @p70 :rule ho_cong :premises (@p21 @p69)) % 167.26/167.59 (step @p71 :rule ho_cong :premises (@p70 @p56)) % 167.26/167.59 (step @p72 :rule trans :premises (@p71 @p65)) % 167.26/167.59 (step @p73 :rule cong :premises (@p72) :args (@t21)) % 167.26/167.59 (step @p74 :rule refl :args (@t122)) % 167.26/167.59 (step @p75 :rule refl :args (@t22)) % 167.26/167.59 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t22 @t122))) % 167.26/167.59 (step @p77 :rule symm :premises (@p76)) % 167.26/167.59 (step @p78 :rule eq_resolve :premises (@p75 @p77)) % 167.26/167.59 (step @p79 :rule cong :premises (@p78) :args (@t23)) % 167.26/167.59 (step @p80 :rule nary_cong :premises (@p79 @p73 @p54 @p35 @p15) :args (@t24)) % 167.26/167.59 (step @p81 :rule cong :premises (@p80) :args (@t26)) % 167.26/167.59 (step @p82 :rule refl :args ((tptp.cP_3 @t18 @t2))) % 167.26/167.59 (step @p83 :rule refl :args (@t2)) % 167.26/167.59 (step @p84 :rule cong :premises (@p57 @p83) :args (@t123)) % 167.26/167.59 (step @p85 :rule trans :premises (@p84 @p82)) % 167.26/167.59 (step @p86 :rule ho_cong :premises (@p60 @p83)) % 167.26/167.59 (step @p87 :rule cong :premises (@p86 @p85) :args ((= (_ @t142 @t2) @t123))) % 167.26/167.59 (step @p88 :rule symm :premises (@p87)) % 167.26/167.59 (step @p89 :rule refl :args (@t27)) % 167.26/167.59 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 167.26/167.59 (step @p91 :rule ho_cong :premises (@p70 @p83)) % 167.26/167.59 (step @p92 :rule trans :premises (@p91 @p90)) % 167.26/167.59 (step @p93 :rule refl :args (@t124)) % 167.26/167.59 (step @p94 :rule refl :args (@t28)) % 167.26/167.59 (step @p95 :rule cong :premises (@p94 @p93) :args ((= @t28 @t124))) % 167.26/167.59 (step @p96 :rule symm :premises (@p95)) % 167.26/167.59 (step @p97 :rule eq_resolve :premises (@p94 @p96)) % 167.26/167.59 (step @p98 :rule cong :premises (@p97) :args (@t29)) % 167.26/167.59 (step @p99 :rule nary_cong :premises (@p98 @p92) :args (@t30)) % 167.26/167.59 (step @p100 :rule cong :premises (@p99) :args (@t32)) % 167.26/167.59 (step @p101 :rule refl :args (@t125)) % 167.26/167.59 (step @p102 :rule refl :args (@t33)) % 167.26/167.59 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t33 @t125))) % 167.26/167.59 (step @p104 :rule symm :premises (@p103)) % 167.26/167.59 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 167.26/167.59 (step @p106 :rule cong :premises (@p105) :args (@t35)) % 167.26/167.59 (step @p107 :rule refl :args (@t36)) % 167.26/167.59 (step @p108 :rule refl :args (@t37)) % 167.26/167.59 (step @p109 :rule refl :args (@t38)) % 167.26/167.59 (step @p110 :rule refl :args (@t126)) % 167.26/167.59 (step @p111 :rule refl :args (@t39)) % 167.26/167.59 (step @p112 :rule cong :premises (@p111 @p110) :args ((= @t39 @t126))) % 167.26/167.59 (step @p113 :rule symm :premises (@p112)) % 167.26/167.59 (step @p114 :rule eq_resolve :premises (@p111 @p113)) % 167.26/167.59 (step @p115 :rule refl :args ((tptp.cP_2 @t12 @t8))) % 167.26/167.59 (step @p116 :rule cong :premises (@p18 @p17) :args (@t127)) % 167.26/167.59 (step @p117 :rule trans :premises (@p116 @p115)) % 167.26/167.59 (step @p118 :rule refl :args (tptp.cP_2)) % 167.26/167.59 (step @p119 :rule ho_cong :premises (@p118 @p18)) % 167.26/167.59 (step @p120 :rule ho_cong :premises (@p119 @p17)) % 167.26/167.59 (step @p121 :rule cong :premises (@p120 @p117) :args ((= (_ (_ tptp.cP_2 @t116) @t8) @t127))) % 167.26/167.59 (step @p122 :rule symm :premises (@p121)) % 167.26/167.59 (step @p123 :rule refl :args (@t40)) % 167.26/167.59 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 167.26/167.59 (step @p125 :rule ho_cong :premises (@p118 @p31)) % 167.26/167.59 (step @p126 :rule ho_cong :premises (@p125 @p17)) % 167.26/167.59 (step @p127 :rule trans :premises (@p126 @p124)) % 167.26/167.59 (step @p128 :rule cong :premises (@p127) :args (@t41)) % 167.26/167.59 (step @p129 :rule refl :args ((tptp.cP_2 @t15 @t9))) % 167.26/167.59 (step @p130 :rule cong :premises (@p38 @p37) :args (@t128)) % 167.26/167.59 (step @p131 :rule trans :premises (@p130 @p129)) % 167.26/167.59 (step @p132 :rule ho_cong :premises (@p118 @p38)) % 167.26/167.59 (step @p133 :rule ho_cong :premises (@p132 @p37)) % 167.26/167.59 (step @p134 :rule cong :premises (@p133 @p131) :args ((= (_ (_ tptp.cP_2 @t118) @t9) @t128))) % 167.26/167.59 (step @p135 :rule symm :premises (@p134)) % 167.26/167.59 (step @p136 :rule refl :args (@t42)) % 167.26/167.59 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 167.26/167.59 (step @p138 :rule ho_cong :premises (@p118 @p50)) % 167.26/167.59 (step @p139 :rule ho_cong :premises (@p138 @p37)) % 167.26/167.59 (step @p140 :rule trans :premises (@p139 @p137)) % 167.26/167.59 (step @p141 :rule cong :premises (@p140) :args (@t43)) % 167.26/167.59 (step @p142 :rule refl :args ((tptp.cP_2 @t18 @t10))) % 167.26/167.59 (step @p143 :rule cong :premises (@p57 @p56) :args (@t129)) % 167.26/167.59 (step @p144 :rule trans :premises (@p143 @p142)) % 167.26/167.59 (step @p145 :rule ho_cong :premises (@p118 @p57)) % 167.26/167.59 (step @p146 :rule ho_cong :premises (@p145 @p56)) % 167.26/167.59 (step @p147 :rule cong :premises (@p146 @p144) :args ((= (_ @t143 @t10) @t129))) % 167.26/167.59 (step @p148 :rule symm :premises (@p147)) % 167.26/167.59 (step @p149 :rule refl :args (@t45)) % 167.26/167.59 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 167.26/167.59 (step @p151 :rule ho_cong :premises (@p118 @p69)) % 167.26/167.59 (step @p152 :rule ho_cong :premises (@p151 @p56)) % 167.26/167.59 (step @p153 :rule trans :premises (@p152 @p150)) % 167.26/167.59 (step @p154 :rule cong :premises (@p153) :args (@t46)) % 167.26/167.59 (step @p155 :rule refl :args (@t130)) % 167.26/167.59 (step @p156 :rule refl :args (@t47)) % 167.26/167.59 (step @p157 :rule cong :premises (@p156 @p155) :args ((= @t47 @t130))) % 167.26/167.59 (step @p158 :rule symm :premises (@p157)) % 167.26/167.59 (step @p159 :rule eq_resolve :premises (@p156 @p158)) % 167.26/167.59 (step @p160 :rule cong :premises (@p159) :args (@t48)) % 167.26/167.59 (step @p161 :rule nary_cong :premises (@p160 @p154 @p141 @p128 @p114) :args (@t49)) % 167.26/167.59 (step @p162 :rule cong :premises (@p161) :args (@t50)) % 167.26/167.59 (step @p163 :rule refl :args ((tptp.cP_2 @t18 @t2))) % 167.26/167.59 (step @p164 :rule cong :premises (@p57 @p83) :args (@t131)) % 167.26/167.59 (step @p165 :rule trans :premises (@p164 @p163)) % 167.26/167.59 (step @p166 :rule ho_cong :premises (@p145 @p83)) % 167.26/167.59 (step @p167 :rule cong :premises (@p166 @p165) :args ((= (_ @t143 @t2) @t131))) % 167.26/167.59 (step @p168 :rule symm :premises (@p167)) % 167.26/167.59 (step @p169 :rule refl :args (@t51)) % 167.26/167.59 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 167.26/167.59 (step @p171 :rule ho_cong :premises (@p151 @p83)) % 167.26/167.59 (step @p172 :rule trans :premises (@p171 @p170)) % 167.26/167.59 (step @p173 :rule refl :args (@t132)) % 167.26/167.59 (step @p174 :rule refl :args (@t52)) % 167.26/167.59 (step @p175 :rule cong :premises (@p174 @p173) :args ((= @t52 @t132))) % 167.26/167.59 (step @p176 :rule symm :premises (@p175)) % 167.26/167.59 (step @p177 :rule eq_resolve :premises (@p174 @p176)) % 167.26/167.59 (step @p178 :rule cong :premises (@p177) :args (@t53)) % 167.26/167.59 (step @p179 :rule nary_cong :premises (@p178 @p172) :args (@t54)) % 167.26/167.59 (step @p180 :rule cong :premises (@p179) :args (@t55)) % 167.26/167.59 (step @p181 :rule refl :args (@t133)) % 167.26/167.59 (step @p182 :rule refl :args (@t56)) % 167.26/167.59 (step @p183 :rule cong :premises (@p182 @p181) :args ((= @t56 @t133))) % 167.26/167.59 (step @p184 :rule symm :premises (@p183)) % 167.26/167.59 (step @p185 :rule eq_resolve :premises (@p182 @p184)) % 167.26/167.59 (step @p186 :rule cong :premises (@p185) :args (@t57)) % 167.26/167.59 (step @p187 :rule refl :args (@t58)) % 167.26/167.59 (step @p188 :rule refl :args (@t59)) % 167.26/167.59 (step @p189 :rule refl :args (@t60)) % 167.26/167.59 (step @p190 :rule refl :args (@t134)) % 167.26/167.59 (step @p191 :rule refl :args (@t61)) % 167.26/167.59 (step @p192 :rule cong :premises (@p191 @p190) :args ((= @t61 @t134))) % 167.26/167.59 (step @p193 :rule symm :premises (@p192)) % 167.26/167.59 (step @p194 :rule eq_resolve :premises (@p191 @p193)) % 167.26/167.59 (step @p195 :rule refl :args ((tptp.cP_1 @t12 @t8))) % 167.26/167.59 (step @p196 :rule cong :premises (@p18 @p17) :args (@t135)) % 167.26/167.59 (step @p197 :rule trans :premises (@p196 @p195)) % 167.26/167.59 (step @p198 :rule refl :args (tptp.cP_1)) % 167.26/167.59 (step @p199 :rule ho_cong :premises (@p198 @p18)) % 167.26/167.59 (step @p200 :rule ho_cong :premises (@p199 @p17)) % 167.26/167.59 (step @p201 :rule cong :premises (@p200 @p197) :args ((= (_ (_ tptp.cP_1 @t116) @t8) @t135))) % 167.26/167.59 (step @p202 :rule symm :premises (@p201)) % 167.26/167.59 (step @p203 :rule refl :args (@t62)) % 167.26/167.59 (step @p204 :rule eq_resolve :premises (@p203 @p202)) % 167.26/167.59 (step @p205 :rule ho_cong :premises (@p198 @p31)) % 167.26/167.59 (step @p206 :rule ho_cong :premises (@p205 @p17)) % 167.26/167.59 (step @p207 :rule trans :premises (@p206 @p204)) % 167.26/167.59 (step @p208 :rule cong :premises (@p207) :args (@t63)) % 167.26/167.59 (step @p209 :rule refl :args ((tptp.cP_1 @t15 @t9))) % 167.26/167.59 (step @p210 :rule cong :premises (@p38 @p37) :args (@t136)) % 167.26/167.59 (step @p211 :rule trans :premises (@p210 @p209)) % 167.26/167.59 (step @p212 :rule ho_cong :premises (@p198 @p38)) % 167.26/167.59 (step @p213 :rule ho_cong :premises (@p212 @p37)) % 167.26/167.59 (step @p214 :rule cong :premises (@p213 @p211) :args ((= (_ (_ tptp.cP_1 @t118) @t9) @t136))) % 167.26/167.59 (step @p215 :rule symm :premises (@p214)) % 167.26/167.59 (step @p216 :rule refl :args (@t64)) % 167.26/167.59 (step @p217 :rule eq_resolve :premises (@p216 @p215)) % 167.26/167.59 (step @p218 :rule ho_cong :premises (@p198 @p50)) % 167.26/167.59 (step @p219 :rule ho_cong :premises (@p218 @p37)) % 167.26/167.59 (step @p220 :rule trans :premises (@p219 @p217)) % 167.26/167.59 (step @p221 :rule cong :premises (@p220) :args (@t65)) % 167.26/167.59 (step @p222 :rule refl :args ((tptp.cP_1 @t18 @t10))) % 167.26/167.59 (step @p223 :rule cong :premises (@p57 @p56) :args (@t137)) % 167.26/167.59 (step @p224 :rule trans :premises (@p223 @p222)) % 167.26/167.59 (step @p225 :rule ho_cong :premises (@p198 @p57)) % 167.26/167.59 (step @p226 :rule ho_cong :premises (@p225 @p56)) % 167.26/167.59 (step @p227 :rule cong :premises (@p226 @p224) :args ((= (_ @t144 @t10) @t137))) % 167.26/167.59 (step @p228 :rule symm :premises (@p227)) % 167.26/167.59 (step @p229 :rule refl :args (@t67)) % 167.26/167.59 (step @p230 :rule eq_resolve :premises (@p229 @p228)) % 167.26/167.59 (step @p231 :rule ho_cong :premises (@p198 @p69)) % 167.26/167.59 (step @p232 :rule ho_cong :premises (@p231 @p56)) % 167.26/167.59 (step @p233 :rule trans :premises (@p232 @p230)) % 167.26/167.59 (step @p234 :rule cong :premises (@p233) :args (@t68)) % 167.26/167.59 (step @p235 :rule refl :args (@t138)) % 167.26/167.59 (step @p236 :rule refl :args (@t69)) % 167.26/167.59 (step @p237 :rule cong :premises (@p236 @p235) :args ((= @t69 @t138))) % 167.26/167.59 (step @p238 :rule symm :premises (@p237)) % 167.26/167.59 (step @p239 :rule eq_resolve :premises (@p236 @p238)) % 167.26/167.59 (step @p240 :rule cong :premises (@p239) :args (@t70)) % 167.26/167.59 (step @p241 :rule nary_cong :premises (@p240 @p234 @p221 @p208 @p194) :args (@t71)) % 167.26/167.59 (step @p242 :rule cong :premises (@p241) :args (@t72)) % 167.26/167.59 (step @p243 :rule refl :args ((tptp.cP_1 @t18 @t2))) % 167.26/167.59 (step @p244 :rule cong :premises (@p57 @p83) :args (@t139)) % 167.26/167.59 (step @p245 :rule trans :premises (@p244 @p243)) % 167.26/167.59 (step @p246 :rule ho_cong :premises (@p225 @p83)) % 167.26/167.59 (step @p247 :rule cong :premises (@p246 @p245) :args ((= (_ @t144 @t2) @t139))) % 167.26/167.59 (step @p248 :rule symm :premises (@p247)) % 167.26/167.59 (step @p249 :rule refl :args (@t73)) % 167.26/167.59 (step @p250 :rule eq_resolve :premises (@p249 @p248)) % 167.26/167.59 (step @p251 :rule ho_cong :premises (@p231 @p83)) % 167.26/167.59 (step @p252 :rule trans :premises (@p251 @p250)) % 167.26/167.59 (step @p253 :rule refl :args (@t140)) % 167.26/167.59 (step @p254 :rule refl :args (@t74)) % 167.26/167.59 (step @p255 :rule cong :premises (@p254 @p253) :args ((= @t74 @t140))) % 167.26/167.59 (step @p256 :rule symm :premises (@p255)) % 167.26/167.59 (step @p257 :rule eq_resolve :premises (@p254 @p256)) % 167.26/167.59 (step @p258 :rule cong :premises (@p257) :args (@t75)) % 167.26/167.59 (step @p259 :rule nary_cong :premises (@p258 @p252) :args (@t76)) % 167.26/167.59 (step @p260 :rule cong :premises (@p259) :args (@t77)) % 167.26/167.59 (step @p261 :rule refl :args (@t141)) % 167.26/167.59 (step @p262 :rule refl :args (@t78)) % 167.26/167.59 (step @p263 :rule cong :premises (@p262 @p261) :args ((= @t78 @t141))) % 167.26/167.59 (step @p264 :rule symm :premises (@p263)) % 167.26/167.59 (step @p265 :rule eq_resolve :premises (@p262 @p264)) % 167.26/167.59 (step @p266 :rule cong :premises (@p265) :args (@t79)) % 167.26/167.59 (step @p267 :rule refl :args (@t80)) % 167.26/167.59 (step @p268 :rule refl :args (@t81)) % 167.26/167.59 (step @p269 :rule refl :args (@t82)) % 167.26/167.59 (step @p270 :rule refl :args (@t83)) % 167.26/167.59 (step @p271 :rule nary_cong :premises (@p270 @p269 @p268 @p267 @p266 @p260 @p242 @p189 @p188 @p187 @p186 @p180 @p162 @p109 @p108 @p107 @p106 @p100 @p81 @p10) :args (@t84)) % 167.26/167.59 (step @p272 :rule bool-double-not-elim :args (@t84)) % 167.26/167.59 (step @p273 :rule trans :premises (@p272 @p271)) % 167.26/167.59 (step @p274 :rule trans :premises (@p273 @p3)) % 167.26/167.59 (step @p275 :rule eq_resolve :premises (@p1 @p274)) % 167.26/167.59 (step @p276 :rule and_elim :premises (@p275) :args (12)) % 167.26/167.59 (step @p277 :rule and_elim :premises (@p275) :args (11)) % 167.26/167.59 (step @p278 :rule instantiate :premises (@p277) :args (@t145)) % 167.26/167.59 (step @p279 :rule and_elim :premises (@p275) :args (9)) % 167.26/167.59 (step @p280 :rule cnf_or_pos :args (@t149)) % 167.26/167.59 (step @p281 :rule reordering :premises (@p280) :args ((or @t148 @t147 (not @t149)))) % 167.26/167.59 (step @p282 :rule chain_m_resolution :premises (@p281 @p279 @p278) :args (@t147 @t150 (@list @t104 @t149))) % 167.26/167.59 (step @p283 :rule and_elim :premises (@p275) :args (18)) % 167.26/167.59 (step @p284 :rule instantiate :premises (@p283) :args (@t151)) % 167.26/167.59 (step @p285 :rule and_elim :premises (@p275) :args (19)) % 167.26/167.59 (step @p286 :rule instantiate :premises (@p285) :args ((@list tptp.a tptp.b tptp.c))) % 167.26/167.59 (step @p287 :rule and_elim :premises (@p275) :args (17)) % 167.26/167.59 (step @p288 :rule instantiate :premises (@p287) :args (@t145)) % 167.26/167.59 (step @p289 :rule and_elim :premises (@p275) :args (15)) % 167.26/167.59 (step @p290 :rule cnf_or_pos :args (@t154)) % 167.26/167.59 (step @p291 :rule reordering :premises (@p290) :args ((or @t153 @t152 (not @t154)))) % 167.26/167.59 (step @p292 :rule chain_m_resolution :premises (@p291 @p289 @p288) :args (@t152 @t150 (@list @t97 @t154))) % 167.26/167.59 (step @p293 :rule instantiate :premises (@p287) :args (@t155)) % 167.26/167.59 (step @p294 :rule and_elim :premises (@p275) :args (14)) % 167.26/167.59 (step @p295 :rule cnf_or_pos :args (@t159)) % 167.26/167.59 (step @p296 :rule reordering :premises (@p295) :args ((or @t158 @t157 (not @t159)))) % 167.26/167.59 (step @p297 :rule chain_m_resolution :premises (@p296 @p294 @p293) :args (@t157 @t150 (@list @t98 @t159))) % 167.26/167.59 (step @p298 :rule instantiate :premises (@p287) :args (@t160)) % 167.26/167.59 (step @p299 :rule and_elim :premises (@p275) :args (13)) % 167.26/167.59 (step @p300 :rule cnf_or_pos :args (@t164)) % 167.26/167.59 (step @p301 :rule reordering :premises (@p300) :args ((or @t163 @t162 (not @t164)))) % 167.26/167.59 (step @p302 :rule chain_m_resolution :premises (@p301 @p299 @p298) :args (@t162 @t150 (@list @t99 @t164))) % 167.26/167.59 (step @p303 :rule cnf_or_pos :args (@t171)) % 167.26/167.59 (step @p304 :rule reordering :premises (@p303) :args ((or @t168 @t167 @t170 @t166 @t165 (not @t171)))) % 167.26/167.59 (step @p305 :rule chain_m_resolution :premises (@p304 @p302 @p297 @p292 @p286 @p284) :args (@t170 @t172 (@list @t162 @t157 @t152 @t165 @t171))) % 167.26/167.59 (step @p306 :rule and_elim :premises (@p275) :args (6)) % 167.26/167.59 (step @p307 :rule instantiate :premises (@p306) :args (@t151)) % 167.26/167.59 (step @p308 :rule and_elim :premises (@p275) :args (5)) % 167.26/167.59 (step @p309 :rule instantiate :premises (@p308) :args (@t145)) % 167.26/167.59 (step @p310 :rule and_elim :premises (@p275) :args (3)) % 167.26/167.59 (step @p311 :rule cnf_or_pos :args (@t175)) % 167.26/167.59 (step @p312 :rule reordering :premises (@p311) :args ((or @t174 @t173 (not @t175)))) % 167.26/167.59 (step @p313 :rule chain_m_resolution :premises (@p312 @p310 @p309) :args (@t173 @t150 (@list @t110 @t175))) % 167.26/167.59 (step @p314 :rule instantiate :premises (@p308) :args (@t155)) % 167.26/167.59 (step @p315 :rule and_elim :premises (@p275) :args (2)) % 167.26/167.59 (step @p316 :rule cnf_or_pos :args (@t178)) % 167.26/167.59 (step @p317 :rule reordering :premises (@p316) :args ((or @t177 @t176 (not @t178)))) % 167.26/167.59 (step @p318 :rule chain_m_resolution :premises (@p317 @p315 @p314) :args (@t176 @t150 (@list @t111 @t178))) % 167.26/167.59 (step @p319 :rule instantiate :premises (@p308) :args (@t160)) % 167.26/167.59 (step @p320 :rule and_elim :premises (@p275) :args (1)) % 167.26/167.59 (step @p321 :rule cnf_or_pos :args (@t181)) % 167.26/167.59 (step @p322 :rule reordering :premises (@p321) :args ((or @t180 @t179 (not @t181)))) % 167.26/167.59 (step @p323 :rule chain_m_resolution :premises (@p322 @p320 @p319) :args (@t179 @t150 (@list @t112 @t181))) % 167.26/167.59 (step @p324 :rule and_elim :premises (@p275) :args (0)) % 167.26/167.59 (step @p325 :rule cnf_or_pos :args (@t187)) % 167.26/167.59 (step @p326 :rule reordering :premises (@p325) :args ((or @t186 @t185 @t184 @t183 @t182 (not @t187)))) % 167.26/167.59 (step @p327 :rule chain_m_resolution :premises (@p326 @p324 @p323 @p318 @p313 @p307) :args (@t182 (@list false false false false false) (@list @t113 @t179 @t176 @t173 @t187))) % 167.26/167.59 (step @p328 :rule instantiate :premises (@p277) :args (@t155)) % 167.26/167.59 (step @p329 :rule and_elim :premises (@p275) :args (8)) % 167.26/167.59 (step @p330 :rule cnf_or_pos :args (@t190)) % 167.26/167.59 (step @p331 :rule reordering :premises (@p330) :args ((or @t189 @t188 (not @t190)))) % 167.26/167.59 (step @p332 :rule chain_m_resolution :premises (@p331 @p329 @p328) :args (@t188 @t150 (@list @t105 @t190))) % 167.26/167.59 (step @p333 :rule instantiate :premises (@p277) :args (@t160)) % 167.26/167.59 (step @p334 :rule and_elim :premises (@p275) :args (7)) % 167.26/167.59 (step @p335 :rule cnf_or_pos :args (@t193)) % 167.26/167.59 (step @p336 :rule reordering :premises (@p335) :args ((or @t192 @t191 (not @t193)))) % 167.26/167.59 (step @p337 :rule chain_m_resolution :premises (@p336 @p334 @p333) :args (@t191 @t150 (@list @t106 @t193))) % 167.26/167.59 (step @p338 :rule cnf_or_pos :args (@t198)) % 167.26/167.59 (step @p339 :rule reordering :premises (@p338) :args ((or @t196 @t195 @t197 @t169 @t194 @t199))) % 167.26/167.59 (step @p340 :rule chain_m_resolution :premises (@p339 @p337 @p332 @p327 @p305 @p282) :args (@t199 @t172 (@list @t191 @t188 @t182 @t169 @t147))) % 167.26/167.59 (assume-push @p347 @t103) % 167.26/167.59 (step @p342 :rule instantiate :premises (@p276) :args (@t151)) % 167.26/167.59 (step-pop @p348 :rule scope :premises (@p342)) % 167.26/167.59 (step @p343 :rule process_scope :premises (@p348) :args (@t198)) % 167.26/167.59 (step @p345 :rule implies_elim :premises (@p343)) % 167.26/167.59 (step @p346 false :rule chain_m_resolution :premises (@p345 @p340 @p276) :args (false (@list true false) (@list @t198 @t103))) % 167.26/167.59 ) % 167.26/167.59 % SZS output end Proof % 167.26/167.60 % cvc5 exiting %------------------------------------------------------------------------------