%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO391^5 : 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 : n026.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 194.05s 194.33s % Output : Proof 194.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO391^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.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 00:06:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 194.05/194.33 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 194.05/194.33 --- 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... % 194.05/194.33 --- 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... % 194.05/194.33 --- Run --ho-elim --full-saturate-quant at 18s... % 194.05/194.33 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 194.05/194.33 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s... % 194.05/194.33 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 9s... % 194.05/194.33 % SZS status Theorem % 194.05/194.33 % SZS output start Proof % 194.05/194.33 ( % 194.05/194.33 (declare-sort $$unsorted 0) % 194.05/194.33 (declare-const tptp.cQ_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 194.05/194.33 (declare-const tptp.cP_1 (-> $$unsorted $$unsorted Bool)) % 194.05/194.33 (declare-const tptp.cQ_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 194.05/194.33 (declare-const tptp.cP_2 (-> $$unsorted $$unsorted Bool)) % 194.05/194.33 (declare-const tptp.cQ_3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 194.05/194.33 (declare-const tptp.cQ_7 (-> $$unsorted $$unsorted $$unsorted Bool)) % 194.05/194.33 (declare-const tptp.cQ_4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 194.05/194.33 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 194.05/194.33 (declare-const tptp.cP_6 (-> $$unsorted $$unsorted Bool)) % 194.05/194.33 (declare-const tptp.cQ_6 (-> $$unsorted $$unsorted $$unsorted Bool)) % 194.05/194.33 (declare-const tptp.d $$unsorted) % 194.05/194.33 (declare-const tptp.c $$unsorted) % 194.05/194.33 (declare-const tptp.b $$unsorted) % 194.05/194.33 (declare-const tptp.a $$unsorted) % 194.05/194.33 (declare-const tptp.cP_5 (-> $$unsorted $$unsorted Bool)) % 194.05/194.33 (declare-const tptp.cQ_5 (-> $$unsorted $$unsorted $$unsorted Bool)) % 194.05/194.33 (declare-const tptp.cP_4 (-> $$unsorted $$unsorted Bool)) % 194.05/194.33 (declare-const tptp.cP_3 (-> $$unsorted $$unsorted Bool)) % 194.05/194.33 (define @t1 () (@var "Xz" $$unsorted)) % 194.05/194.33 (define @t2 () (@var "Xy" $$unsorted)) % 194.05/194.33 (define @t3 () (@var "Xx" $$unsorted)) % 194.05/194.33 (define @t4 () (_ (_ (_ tptp.cQ_7 @t3) @t2) @t1)) % 194.05/194.33 (define @t5 () (not @t4)) % 194.05/194.33 (define @t6 () (@list @t3 @t2 @t1)) % 194.05/194.33 (define @t7 () (forall @t6 @t5)) % 194.05/194.33 (define @t8 () (@var "Xw" $$unsorted)) % 194.05/194.33 (define @t9 () (@var "Xv" $$unsorted)) % 194.05/194.33 (define @t10 () (@var "Xu" $$unsorted)) % 194.05/194.33 (define @t11 () (_ (_ (_ tptp.cQ_7 @t10) @t9) @t8)) % 194.05/194.33 (define @t12 () (_ tptp.f @t1)) % 194.05/194.33 (define @t13 () (_ (_ tptp.cP_6 @t12) @t8)) % 194.05/194.33 (define @t14 () (not @t13)) % 194.05/194.33 (define @t15 () (_ tptp.f @t2)) % 194.05/194.33 (define @t16 () (_ (_ tptp.cP_6 @t15) @t9)) % 194.05/194.33 (define @t17 () (not @t16)) % 194.05/194.33 (define @t18 () (_ tptp.f @t3)) % 194.05/194.33 (define @t19 () (_ tptp.cP_6 @t18)) % 194.05/194.33 (define @t20 () (_ @t19 @t10)) % 194.05/194.33 (define @t21 () (not @t20)) % 194.05/194.33 (define @t22 () (_ (_ (_ tptp.cQ_6 @t3) @t2) @t1)) % 194.05/194.33 (define @t23 () (not @t22)) % 194.05/194.33 (define @t24 () (or @t23 @t21 @t17 @t14 @t11)) % 194.05/194.33 (define @t25 () (@list @t3 @t2 @t1 @t10 @t9 @t8)) % 194.05/194.33 (define @t26 () (forall @t25 @t24)) % 194.05/194.33 (define @t27 () (_ @t19 @t2)) % 194.05/194.33 (define @t28 () (_ (_ tptp.cP_6 @t3) @t2)) % 194.05/194.33 (define @t29 () (not @t28)) % 194.05/194.33 (define @t30 () (or @t29 @t27)) % 194.05/194.33 (define @t31 () (@list @t3 @t2)) % 194.05/194.33 (define @t32 () (forall @t31 @t30)) % 194.05/194.33 (define @t33 () (_ (_ tptp.cP_6 tptp.d) @t3)) % 194.05/194.33 (define @t34 () (@list @t3)) % 194.05/194.33 (define @t35 () (forall @t34 @t33)) % 194.05/194.33 (define @t36 () (_ (_ tptp.cP_6 tptp.c) tptp.c)) % 194.05/194.33 (define @t37 () (_ (_ tptp.cP_6 tptp.b) tptp.b)) % 194.05/194.33 (define @t38 () (_ (_ tptp.cP_6 tptp.a) tptp.a)) % 194.05/194.33 (define @t39 () (_ (_ (_ tptp.cQ_6 @t10) @t9) @t8)) % 194.05/194.33 (define @t40 () (_ (_ tptp.cP_5 @t12) @t8)) % 194.05/194.33 (define @t41 () (not @t40)) % 194.05/194.33 (define @t42 () (_ (_ tptp.cP_5 @t15) @t9)) % 194.05/194.33 (define @t43 () (not @t42)) % 194.05/194.33 (define @t44 () (_ tptp.cP_5 @t18)) % 194.05/194.33 (define @t45 () (_ @t44 @t10)) % 194.05/194.33 (define @t46 () (not @t45)) % 194.05/194.33 (define @t47 () (_ (_ (_ tptp.cQ_5 @t3) @t2) @t1)) % 194.05/194.33 (define @t48 () (not @t47)) % 194.05/194.33 (define @t49 () (or @t48 @t46 @t43 @t41 @t39)) % 194.05/194.33 (define @t50 () (forall @t25 @t49)) % 194.05/194.33 (define @t51 () (_ @t44 @t2)) % 194.05/194.33 (define @t52 () (_ (_ tptp.cP_5 @t3) @t2)) % 194.05/194.33 (define @t53 () (not @t52)) % 194.05/194.33 (define @t54 () (or @t53 @t51)) % 194.05/194.33 (define @t55 () (forall @t31 @t54)) % 194.05/194.33 (define @t56 () (_ (_ tptp.cP_5 tptp.d) @t3)) % 194.05/194.33 (define @t57 () (forall @t34 @t56)) % 194.05/194.33 (define @t58 () (_ (_ tptp.cP_5 tptp.c) tptp.c)) % 194.05/194.33 (define @t59 () (_ (_ tptp.cP_5 tptp.b) tptp.b)) % 194.05/194.33 (define @t60 () (_ (_ tptp.cP_5 tptp.a) tptp.a)) % 194.05/194.33 (define @t61 () (_ (_ (_ tptp.cQ_5 @t10) @t9) @t8)) % 194.05/194.33 (define @t62 () (_ (_ tptp.cP_4 @t12) @t8)) % 194.05/194.33 (define @t63 () (not @t62)) % 194.05/194.33 (define @t64 () (_ (_ tptp.cP_4 @t15) @t9)) % 194.05/194.33 (define @t65 () (not @t64)) % 194.05/194.33 (define @t66 () (_ tptp.cP_4 @t18)) % 194.05/194.33 (define @t67 () (_ @t66 @t10)) % 194.05/194.33 (define @t68 () (not @t67)) % 194.05/194.33 (define @t69 () (_ (_ (_ tptp.cQ_4 @t3) @t2) @t1)) % 194.05/194.33 (define @t70 () (not @t69)) % 194.05/194.33 (define @t71 () (or @t70 @t68 @t65 @t63 @t61)) % 194.05/194.33 (define @t72 () (forall @t25 @t71)) % 194.05/194.33 (define @t73 () (_ @t66 @t2)) % 194.05/194.33 (define @t74 () (_ (_ tptp.cP_4 @t3) @t2)) % 194.05/194.33 (define @t75 () (not @t74)) % 194.05/194.33 (define @t76 () (or @t75 @t73)) % 194.05/194.33 (define @t77 () (forall @t31 @t76)) % 194.05/194.33 (define @t78 () (_ (_ tptp.cP_4 tptp.d) @t3)) % 194.05/194.33 (define @t79 () (forall @t34 @t78)) % 194.05/194.33 (define @t80 () (_ (_ tptp.cP_4 tptp.c) tptp.c)) % 194.05/194.33 (define @t81 () (_ (_ tptp.cP_4 tptp.b) tptp.b)) % 194.05/194.33 (define @t82 () (_ (_ tptp.cP_4 tptp.a) tptp.a)) % 194.05/194.33 (define @t83 () (_ (_ (_ tptp.cQ_4 @t10) @t9) @t8)) % 194.05/194.33 (define @t84 () (_ (_ tptp.cP_3 @t12) @t8)) % 194.05/194.33 (define @t85 () (not @t84)) % 194.05/194.33 (define @t86 () (_ (_ tptp.cP_3 @t15) @t9)) % 194.05/194.33 (define @t87 () (not @t86)) % 194.05/194.33 (define @t88 () (_ tptp.cP_3 @t18)) % 194.05/194.33 (define @t89 () (_ @t88 @t10)) % 194.05/194.33 (define @t90 () (not @t89)) % 194.05/194.33 (define @t91 () (_ (_ (_ tptp.cQ_3 @t3) @t2) @t1)) % 194.05/194.33 (define @t92 () (not @t91)) % 194.05/194.33 (define @t93 () (or @t92 @t90 @t87 @t85 @t83)) % 194.05/194.33 (define @t94 () (forall @t25 @t93)) % 194.05/194.33 (define @t95 () (_ @t88 @t2)) % 194.05/194.33 (define @t96 () (_ (_ tptp.cP_3 @t3) @t2)) % 194.05/194.33 (define @t97 () (not @t96)) % 194.05/194.33 (define @t98 () (or @t97 @t95)) % 194.05/194.33 (define @t99 () (forall @t31 @t98)) % 194.05/194.33 (define @t100 () (_ (_ tptp.cP_3 tptp.d) @t3)) % 194.05/194.33 (define @t101 () (forall @t34 @t100)) % 194.05/194.33 (define @t102 () (_ (_ tptp.cP_3 tptp.c) tptp.c)) % 194.05/194.33 (define @t103 () (_ (_ tptp.cP_3 tptp.b) tptp.b)) % 194.05/194.33 (define @t104 () (_ (_ tptp.cP_3 tptp.a) tptp.a)) % 194.05/194.33 (define @t105 () (_ (_ (_ tptp.cQ_3 @t10) @t9) @t8)) % 194.05/194.33 (define @t106 () (_ (_ tptp.cP_2 @t12) @t8)) % 194.05/194.33 (define @t107 () (not @t106)) % 194.05/194.33 (define @t108 () (_ (_ tptp.cP_2 @t15) @t9)) % 194.05/194.33 (define @t109 () (not @t108)) % 194.05/194.33 (define @t110 () (_ tptp.cP_2 @t18)) % 194.05/194.33 (define @t111 () (_ @t110 @t10)) % 194.05/194.33 (define @t112 () (not @t111)) % 194.05/194.33 (define @t113 () (_ (_ (_ tptp.cQ_2 @t3) @t2) @t1)) % 194.05/194.33 (define @t114 () (not @t113)) % 194.05/194.33 (define @t115 () (or @t114 @t112 @t109 @t107 @t105)) % 194.05/194.33 (define @t116 () (forall @t25 @t115)) % 194.05/194.33 (define @t117 () (_ @t110 @t2)) % 194.05/194.33 (define @t118 () (_ (_ tptp.cP_2 @t3) @t2)) % 194.05/194.33 (define @t119 () (not @t118)) % 194.05/194.33 (define @t120 () (or @t119 @t117)) % 194.05/194.33 (define @t121 () (forall @t31 @t120)) % 194.05/194.33 (define @t122 () (_ (_ tptp.cP_2 tptp.d) @t3)) % 194.05/194.33 (define @t123 () (forall @t34 @t122)) % 194.05/194.33 (define @t124 () (_ (_ tptp.cP_2 tptp.c) tptp.c)) % 194.05/194.33 (define @t125 () (_ (_ tptp.cP_2 tptp.b) tptp.b)) % 194.05/194.33 (define @t126 () (_ (_ tptp.cP_2 tptp.a) tptp.a)) % 194.05/194.33 (define @t127 () (_ (_ (_ tptp.cQ_2 @t10) @t9) @t8)) % 194.05/194.33 (define @t128 () (_ (_ tptp.cP_1 @t12) @t8)) % 194.05/194.33 (define @t129 () (not @t128)) % 194.05/194.33 (define @t130 () (_ (_ tptp.cP_1 @t15) @t9)) % 194.05/194.33 (define @t131 () (not @t130)) % 194.05/194.33 (define @t132 () (_ tptp.cP_1 @t18)) % 194.05/194.33 (define @t133 () (_ @t132 @t10)) % 194.05/194.33 (define @t134 () (not @t133)) % 194.05/194.33 (define @t135 () (_ (_ (_ tptp.cQ_1 @t3) @t2) @t1)) % 194.05/194.33 (define @t136 () (not @t135)) % 194.05/194.33 (define @t137 () (or @t136 @t134 @t131 @t129 @t127)) % 194.05/194.33 (define @t138 () (forall @t25 @t137)) % 194.05/194.33 (define @t139 () (_ @t132 @t2)) % 194.05/194.33 (define @t140 () (_ (_ tptp.cP_1 @t3) @t2)) % 194.05/194.33 (define @t141 () (not @t140)) % 194.05/194.33 (define @t142 () (or @t141 @t139)) % 194.05/194.33 (define @t143 () (forall @t31 @t142)) % 194.05/194.33 (define @t144 () (_ (_ tptp.cP_1 tptp.d) @t3)) % 194.05/194.33 (define @t145 () (forall @t34 @t144)) % 194.05/194.33 (define @t146 () (_ (_ tptp.cP_1 tptp.c) tptp.c)) % 194.05/194.33 (define @t147 () (_ (_ tptp.cP_1 tptp.b) tptp.b)) % 194.05/194.33 (define @t148 () (_ (_ tptp.cP_1 tptp.a) tptp.a)) % 194.05/194.33 (define @t149 () (_ (_ (_ tptp.cQ_1 tptp.a) tptp.b) tptp.c)) % 194.05/194.33 (define @t150 () (and @t149 @t148 @t147 @t146 @t145 @t143 @t138 @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)) % 194.05/194.33 (define @t151 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 194.05/194.33 (define @t152 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))) % 194.05/194.33 (define @t153 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 194.05/194.33 (define @t154 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 194.05/194.33 (define @t155 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 194.05/194.33 (define @t156 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 194.05/194.33 (define @t157 () (_ @t156 @t155 @t1)) % 194.05/194.33 (define @t158 () (@const 6 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 194.05/194.33 (define @t159 () (_ @t156 @t155 @t2)) % 194.05/194.33 (define @t160 () (_ @t156 @t155 @t3)) % 194.05/194.33 (define @t161 () (_ @t153 @t158 @t160)) % 194.05/194.33 (define @t162 () (@const 7 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 194.05/194.33 (define @t163 () (forall @t25 (or (not (_ @t154 (_ @t153 (_ @t152 @t162 @t3) @t2) @t1)) (not (_ @t154 @t161 @t10)) (not (_ @t154 (_ @t153 @t158 @t159) @t9)) (not (_ @t154 (_ @t153 @t158 @t157) @t8)) (_ @t154 (_ @t153 (_ @t152 @t151 @t10) @t9) @t8)))) % 194.05/194.33 (define @t164 () (_ @t154 (_ @t153 @t158 tptp.c) tptp.c)) % 194.05/194.33 (define @t165 () (_ @t154 (_ @t153 @t158 tptp.b) tptp.b)) % 194.05/194.33 (define @t166 () (_ @t154 (_ @t153 @t158 tptp.a) tptp.a)) % 194.05/194.33 (define @t167 () (@const 8 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 194.05/194.33 (define @t168 () (_ @t153 @t167 @t160)) % 194.05/194.33 (define @t169 () (@const 9 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 194.05/194.33 (define @t170 () (_ @t154 (_ @t153 @t167 tptp.c) tptp.c)) % 194.05/194.33 (define @t171 () (_ @t154 (_ @t153 @t167 tptp.b) tptp.b)) % 194.05/194.33 (define @t172 () (_ @t154 (_ @t153 @t167 tptp.a) tptp.a)) % 194.05/194.33 (define @t173 () (@const 10 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 194.05/194.33 (define @t174 () (_ @t153 @t173 @t160)) % 194.05/194.33 (define @t175 () (@const 11 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 194.05/194.33 (define @t176 () (_ @t154 (_ @t153 @t173 tptp.c) tptp.c)) % 194.05/194.33 (define @t177 () (_ @t154 (_ @t153 @t173 tptp.b) tptp.b)) % 194.05/194.33 (define @t178 () (_ @t154 (_ @t153 @t173 tptp.a) tptp.a)) % 194.05/194.33 (define @t179 () (@const 12 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 194.05/194.33 (define @t180 () (_ @t153 @t179 @t160)) % 194.05/194.33 (define @t181 () (@const 13 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 194.05/194.33 (define @t182 () (_ @t154 (_ @t153 @t179 tptp.c) tptp.c)) % 194.05/194.33 (define @t183 () (_ @t154 (_ @t153 @t179 tptp.b) tptp.b)) % 194.05/194.33 (define @t184 () (_ @t154 (_ @t153 @t179 tptp.a) tptp.a)) % 194.05/194.33 (define @t185 () (@const 14 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 194.05/194.33 (define @t186 () (_ @t153 @t185 @t160)) % 194.05/194.33 (define @t187 () (@const 15 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 194.05/194.33 (define @t188 () (_ @t154 (_ @t153 @t185 tptp.c) tptp.c)) % 194.05/194.33 (define @t189 () (_ @t154 (_ @t153 @t185 tptp.b) tptp.b)) % 194.05/194.33 (define @t190 () (_ @t154 (_ @t153 @t185 tptp.a) tptp.a)) % 194.05/194.33 (define @t191 () (@const 16 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 194.05/194.33 (define @t192 () (_ @t153 @t191 @t160)) % 194.05/194.33 (define @t193 () (@const 17 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)))) % 194.05/194.33 (define @t194 () (_ @t154 (_ @t153 @t191 tptp.c) tptp.c)) % 194.05/194.33 (define @t195 () (_ @t154 (_ @t153 @t191 tptp.b) tptp.b)) % 194.05/194.33 (define @t196 () (_ @t154 (_ @t153 @t191 tptp.a) tptp.a)) % 194.05/194.33 (define @t197 () (_ @t154 (_ @t153 (_ @t152 @t193 tptp.a) tptp.b) tptp.c)) % 194.05/194.33 (define @t198 () (tptp.cQ_7 @t3 @t2 @t1)) % 194.05/194.33 (define @t199 () (tptp.cQ_7 @t10 @t9 @t8)) % 194.05/194.33 (define @t200 () (tptp.f @t1)) % 194.05/194.33 (define @t201 () (tptp.cP_6 @t200 @t8)) % 194.05/194.33 (define @t202 () (tptp.f @t2)) % 194.05/194.33 (define @t203 () (tptp.cP_6 @t202 @t9)) % 194.05/194.33 (define @t204 () (tptp.f @t3)) % 194.05/194.33 (define @t205 () (tptp.cP_6 @t204 @t10)) % 194.05/194.33 (define @t206 () (tptp.cQ_6 @t3 @t2 @t1)) % 194.05/194.33 (define @t207 () (tptp.cP_6 @t204 @t2)) % 194.05/194.33 (define @t208 () (tptp.cP_6 @t3 @t2)) % 194.05/194.33 (define @t209 () (tptp.cP_6 tptp.d @t3)) % 194.05/194.33 (define @t210 () (tptp.cQ_6 @t10 @t9 @t8)) % 194.05/194.33 (define @t211 () (tptp.cP_5 @t200 @t8)) % 194.05/194.33 (define @t212 () (tptp.cP_5 @t202 @t9)) % 194.05/194.33 (define @t213 () (tptp.cP_5 @t204 @t10)) % 194.05/194.33 (define @t214 () (tptp.cQ_5 @t3 @t2 @t1)) % 194.05/194.33 (define @t215 () (tptp.cP_5 @t204 @t2)) % 194.05/194.33 (define @t216 () (tptp.cP_5 @t3 @t2)) % 194.05/194.33 (define @t217 () (tptp.cP_5 tptp.d @t3)) % 194.05/194.33 (define @t218 () (tptp.cQ_5 @t10 @t9 @t8)) % 194.05/194.33 (define @t219 () (tptp.cP_4 @t200 @t8)) % 194.05/194.33 (define @t220 () (tptp.cP_4 @t202 @t9)) % 194.05/194.33 (define @t221 () (tptp.cP_4 @t204 @t10)) % 194.05/194.33 (define @t222 () (tptp.cQ_4 @t3 @t2 @t1)) % 194.05/194.33 (define @t223 () (tptp.cP_4 @t204 @t2)) % 194.05/194.33 (define @t224 () (tptp.cP_4 @t3 @t2)) % 194.05/194.33 (define @t225 () (tptp.cP_4 tptp.d @t3)) % 194.05/194.33 (define @t226 () (tptp.cQ_4 @t10 @t9 @t8)) % 194.05/194.33 (define @t227 () (tptp.cP_3 @t200 @t8)) % 194.05/194.33 (define @t228 () (tptp.cP_3 @t202 @t9)) % 194.05/194.33 (define @t229 () (tptp.cP_3 @t204 @t10)) % 194.05/194.33 (define @t230 () (tptp.cQ_3 @t3 @t2 @t1)) % 194.05/194.33 (define @t231 () (tptp.cP_3 @t204 @t2)) % 194.05/194.33 (define @t232 () (tptp.cP_3 @t3 @t2)) % 194.05/194.33 (define @t233 () (tptp.cP_3 tptp.d @t3)) % 194.05/194.33 (define @t234 () (tptp.cQ_3 @t10 @t9 @t8)) % 194.05/194.33 (define @t235 () (tptp.cP_2 @t200 @t8)) % 194.05/194.33 (define @t236 () (tptp.cP_2 @t202 @t9)) % 194.05/194.33 (define @t237 () (tptp.cP_2 @t204 @t10)) % 194.05/194.33 (define @t238 () (tptp.cQ_2 @t3 @t2 @t1)) % 194.05/194.33 (define @t239 () (tptp.cP_2 @t204 @t2)) % 194.05/194.33 (define @t240 () (tptp.cP_2 @t3 @t2)) % 194.05/194.33 (define @t241 () (tptp.cP_2 tptp.d @t3)) % 194.05/194.33 (define @t242 () (tptp.cQ_2 @t10 @t9 @t8)) % 194.05/194.33 (define @t243 () (tptp.cP_1 @t200 @t8)) % 194.05/194.33 (define @t244 () (tptp.cP_1 @t202 @t9)) % 194.05/194.33 (define @t245 () (tptp.cP_1 @t204 @t10)) % 194.05/194.33 (define @t246 () (tptp.cQ_1 @t3 @t2 @t1)) % 194.05/194.33 (define @t247 () (tptp.cP_1 @t204 @t2)) % 194.05/194.33 (define @t248 () (tptp.cP_1 @t3 @t2)) % 194.05/194.33 (define @t249 () (tptp.cP_1 tptp.d @t3)) % 194.05/194.33 (define @t250 () (_ tptp.cP_6 @t204)) % 194.05/194.33 (define @t251 () (_ tptp.cP_5 @t204)) % 194.05/194.33 (define @t252 () (_ tptp.cP_4 @t204)) % 194.05/194.33 (define @t253 () (_ tptp.cP_3 @t204)) % 194.05/194.33 (define @t254 () (_ tptp.cP_2 @t204)) % 194.05/194.33 (define @t255 () (_ tptp.cP_1 @t204)) % 194.05/194.33 (define @t256 () (@list tptp.a tptp.b tptp.c tptp.a tptp.b tptp.c)) % 194.05/194.33 (define @t257 () (@list tptp.b tptp.b)) % 194.05/194.33 (define @t258 () (_ @t156 @t155 tptp.b)) % 194.05/194.33 (define @t259 () (_ @t154 (_ @t153 @t173 @t258) tptp.b)) % 194.05/194.33 (define @t260 () (not @t177)) % 194.05/194.33 (define @t261 () (or @t260 @t259)) % 194.05/194.33 (define @t262 () (@list false false)) % 194.05/194.33 (define @t263 () (_ @t154 (_ @t153 @t185 @t258) tptp.b)) % 194.05/194.33 (define @t264 () (not @t189)) % 194.05/194.33 (define @t265 () (or @t264 @t263)) % 194.05/194.33 (define @t266 () (_ @t154 (_ @t153 @t191 @t258) tptp.b)) % 194.05/194.33 (define @t267 () (not @t195)) % 194.05/194.33 (define @t268 () (or @t267 @t266)) % 194.05/194.33 (define @t269 () (@list tptp.a tptp.a)) % 194.05/194.33 (define @t270 () (_ @t156 @t155 tptp.a)) % 194.05/194.33 (define @t271 () (_ @t154 (_ @t153 @t191 @t270) tptp.a)) % 194.05/194.33 (define @t272 () (not @t196)) % 194.05/194.33 (define @t273 () (or @t272 @t271)) % 194.05/194.33 (define @t274 () (@list tptp.c tptp.c)) % 194.05/194.33 (define @t275 () (_ @t156 @t155 tptp.c)) % 194.05/194.33 (define @t276 () (_ @t154 (_ @t153 @t191 @t275) tptp.c)) % 194.05/194.33 (define @t277 () (not @t194)) % 194.05/194.33 (define @t278 () (or @t277 @t276)) % 194.05/194.33 (define @t279 () (_ @t154 (_ @t153 (_ @t152 @t187 tptp.a) tptp.b) tptp.c)) % 194.05/194.33 (define @t280 () (not @t276)) % 194.05/194.33 (define @t281 () (not @t266)) % 194.05/194.33 (define @t282 () (not @t271)) % 194.05/194.33 (define @t283 () (not @t197)) % 194.05/194.33 (define @t284 () (or @t283 @t282 @t281 @t280 @t279)) % 194.05/194.33 (define @t285 () (@list false false false false false)) % 194.05/194.33 (define @t286 () (_ @t154 (_ @t153 @t185 @t270) tptp.a)) % 194.05/194.33 (define @t287 () (not @t190)) % 194.05/194.33 (define @t288 () (or @t287 @t286)) % 194.05/194.33 (define @t289 () (_ @t154 (_ @t153 @t185 @t275) tptp.c)) % 194.05/194.33 (define @t290 () (not @t188)) % 194.05/194.33 (define @t291 () (or @t290 @t289)) % 194.05/194.33 (define @t292 () (_ @t154 (_ @t153 (_ @t152 @t181 tptp.a) tptp.b) tptp.c)) % 194.05/194.33 (define @t293 () (not @t289)) % 194.05/194.33 (define @t294 () (not @t263)) % 194.05/194.33 (define @t295 () (not @t286)) % 194.05/194.33 (define @t296 () (not @t279)) % 194.05/194.33 (define @t297 () (or @t296 @t295 @t294 @t293 @t292)) % 194.05/194.33 (define @t298 () (_ @t154 (_ @t153 @t179 @t258) tptp.b)) % 194.05/194.33 (define @t299 () (not @t183)) % 194.05/194.33 (define @t300 () (or @t299 @t298)) % 194.05/194.33 (define @t301 () (_ @t154 (_ @t153 @t179 @t270) tptp.a)) % 194.05/194.33 (define @t302 () (not @t184)) % 194.05/194.33 (define @t303 () (or @t302 @t301)) % 194.05/194.33 (define @t304 () (_ @t154 (_ @t153 @t179 @t275) tptp.c)) % 194.05/194.33 (define @t305 () (not @t182)) % 194.05/194.33 (define @t306 () (or @t305 @t304)) % 194.05/194.33 (define @t307 () (_ @t154 (_ @t153 (_ @t152 @t175 tptp.a) tptp.b) tptp.c)) % 194.05/194.33 (define @t308 () (not @t304)) % 194.05/194.33 (define @t309 () (not @t298)) % 194.05/194.33 (define @t310 () (not @t301)) % 194.05/194.33 (define @t311 () (not @t292)) % 194.05/194.33 (define @t312 () (or @t311 @t310 @t309 @t308 @t307)) % 194.05/194.33 (define @t313 () (_ @t154 (_ @t153 @t173 @t270) tptp.a)) % 194.05/194.33 (define @t314 () (not @t178)) % 194.05/194.33 (define @t315 () (or @t314 @t313)) % 194.05/194.33 (define @t316 () (_ @t154 (_ @t153 @t173 @t275) tptp.c)) % 194.05/194.33 (define @t317 () (not @t176)) % 194.05/194.33 (define @t318 () (or @t317 @t316)) % 194.05/194.33 (define @t319 () (_ @t154 (_ @t153 (_ @t152 @t169 tptp.a) tptp.b) tptp.c)) % 194.05/194.33 (define @t320 () (not @t316)) % 194.05/194.33 (define @t321 () (not @t259)) % 194.05/194.33 (define @t322 () (not @t313)) % 194.05/194.33 (define @t323 () (not @t307)) % 194.05/194.33 (define @t324 () (or @t323 @t322 @t321 @t320 @t319)) % 194.05/194.33 (define @t325 () (_ @t154 (_ @t153 @t167 @t258) tptp.b)) % 194.05/194.33 (define @t326 () (not @t171)) % 194.05/194.33 (define @t327 () (or @t326 @t325)) % 194.05/194.33 (define @t328 () (_ @t154 (_ @t153 @t167 @t270) tptp.a)) % 194.05/194.33 (define @t329 () (not @t172)) % 194.05/194.33 (define @t330 () (or @t329 @t328)) % 194.05/194.33 (define @t331 () (_ @t154 (_ @t153 @t167 @t275) tptp.c)) % 194.05/194.33 (define @t332 () (not @t170)) % 194.05/194.33 (define @t333 () (or @t332 @t331)) % 194.05/194.33 (define @t334 () (_ @t154 (_ @t153 (_ @t152 @t162 tptp.a) tptp.b) tptp.c)) % 194.05/194.33 (define @t335 () (not @t331)) % 194.05/194.33 (define @t336 () (not @t325)) % 194.05/194.33 (define @t337 () (not @t328)) % 194.05/194.33 (define @t338 () (not @t319)) % 194.05/194.33 (define @t339 () (or @t338 @t337 @t336 @t335 @t334)) % 194.05/194.33 (define @t340 () (_ @t154 (_ @t153 @t158 @t258) tptp.b)) % 194.05/194.33 (define @t341 () (not @t165)) % 194.05/194.33 (define @t342 () (or @t341 @t340)) % 194.05/194.33 (define @t343 () (_ @t154 (_ @t153 @t158 @t270) tptp.a)) % 194.05/194.33 (define @t344 () (not @t166)) % 194.05/194.33 (define @t345 () (or @t344 @t343)) % 194.05/194.33 (define @t346 () (_ @t154 (_ @t153 @t158 @t275) tptp.c)) % 194.05/194.33 (define @t347 () (not @t164)) % 194.05/194.33 (define @t348 () (or @t347 @t346)) % 194.05/194.33 (define @t349 () (_ @t154 (_ @t153 (_ @t152 @t151 tptp.a) tptp.b) tptp.c)) % 194.05/194.33 (define @t350 () (not @t346)) % 194.05/194.33 (define @t351 () (not @t340)) % 194.05/194.33 (define @t352 () (not @t343)) % 194.05/194.33 (define @t353 () (not @t334)) % 194.05/194.33 (define @t354 () (or @t353 @t352 @t351 @t350 @t349)) % 194.05/194.33 (define @t355 () (not @t354)) % 194.05/194.33 (assume @p1 (not (not @t150))) % 194.05/194.33 (assume @p2 true) % 194.05/194.33 ; WARNING: add trust step for TRUST % 194.05/194.33 ; trust TRUST PREPROCESS_HO_ELIM % 194.05/194.33 (step @p3 :rule trust :premises () :args ((= (and @t149 @t148 @t147 @t146 (forall @t34 @t249) (forall @t31 (or (not @t248) @t247)) (forall @t25 (or (not @t246) (not @t245) (not @t244) (not @t243) @t242)) @t126 @t125 @t124 (forall @t34 @t241) (forall @t31 (or (not @t240) @t239)) (forall @t25 (or (not @t238) (not @t237) (not @t236) (not @t235) @t234)) @t104 @t103 @t102 (forall @t34 @t233) (forall @t31 (or (not @t232) @t231)) (forall @t25 (or (not @t230) (not @t229) (not @t228) (not @t227) @t226)) @t82 @t81 @t80 (forall @t34 @t225) (forall @t31 (or (not @t224) @t223)) (forall @t25 (or (not @t222) (not @t221) (not @t220) (not @t219) @t218)) @t60 @t59 @t58 (forall @t34 @t217) (forall @t31 (or (not @t216) @t215)) (forall @t25 (or (not @t214) (not @t213) (not @t212) (not @t211) @t210)) @t38 @t37 @t36 (forall @t34 @t209) (forall @t31 (or (not @t208) @t207)) (forall @t25 (or (not @t206) (not @t205) (not @t203) (not @t201) @t199)) (forall @t6 (not @t198))) (and @t197 @t196 @t195 @t194 (forall @t34 (_ @t154 (_ @t153 @t191 tptp.d) @t3)) (forall @t31 (or (not (_ @t154 (_ @t153 @t191 @t3) @t2)) (_ @t154 @t192 @t2))) (forall @t25 (or (not (_ @t154 (_ @t153 (_ @t152 @t193 @t3) @t2) @t1)) (not (_ @t154 @t192 @t10)) (not (_ @t154 (_ @t153 @t191 @t159) @t9)) (not (_ @t154 (_ @t153 @t191 @t157) @t8)) (_ @t154 (_ @t153 (_ @t152 @t187 @t10) @t9) @t8))) @t190 @t189 @t188 (forall @t34 (_ @t154 (_ @t153 @t185 tptp.d) @t3)) (forall @t31 (or (not (_ @t154 (_ @t153 @t185 @t3) @t2)) (_ @t154 @t186 @t2))) (forall @t25 (or (not (_ @t154 (_ @t153 (_ @t152 @t187 @t3) @t2) @t1)) (not (_ @t154 @t186 @t10)) (not (_ @t154 (_ @t153 @t185 @t159) @t9)) (not (_ @t154 (_ @t153 @t185 @t157) @t8)) (_ @t154 (_ @t153 (_ @t152 @t181 @t10) @t9) @t8))) @t184 @t183 @t182 (forall @t34 (_ @t154 (_ @t153 @t179 tptp.d) @t3)) (forall @t31 (or (not (_ @t154 (_ @t153 @t179 @t3) @t2)) (_ @t154 @t180 @t2))) (forall @t25 (or (not (_ @t154 (_ @t153 (_ @t152 @t181 @t3) @t2) @t1)) (not (_ @t154 @t180 @t10)) (not (_ @t154 (_ @t153 @t179 @t159) @t9)) (not (_ @t154 (_ @t153 @t179 @t157) @t8)) (_ @t154 (_ @t153 (_ @t152 @t175 @t10) @t9) @t8))) @t178 @t177 @t176 (forall @t34 (_ @t154 (_ @t153 @t173 tptp.d) @t3)) (forall @t31 (or (not (_ @t154 (_ @t153 @t173 @t3) @t2)) (_ @t154 @t174 @t2))) (forall @t25 (or (not (_ @t154 (_ @t153 (_ @t152 @t175 @t3) @t2) @t1)) (not (_ @t154 @t174 @t10)) (not (_ @t154 (_ @t153 @t173 @t159) @t9)) (not (_ @t154 (_ @t153 @t173 @t157) @t8)) (_ @t154 (_ @t153 (_ @t152 @t169 @t10) @t9) @t8))) @t172 @t171 @t170 (forall @t34 (_ @t154 (_ @t153 @t167 tptp.d) @t3)) (forall @t31 (or (not (_ @t154 (_ @t153 @t167 @t3) @t2)) (_ @t154 @t168 @t2))) (forall @t25 (or (not (_ @t154 (_ @t153 (_ @t152 @t169 @t3) @t2) @t1)) (not (_ @t154 @t168 @t10)) (not (_ @t154 (_ @t153 @t167 @t159) @t9)) (not (_ @t154 (_ @t153 @t167 @t157) @t8)) (_ @t154 (_ @t153 (_ @t152 @t162 @t10) @t9) @t8))) @t166 @t165 @t164 (forall @t34 (_ @t154 (_ @t153 @t158 tptp.d) @t3)) (forall @t31 (or (not (_ @t154 (_ @t153 @t158 @t3) @t2)) (_ @t154 @t161 @t2))) @t163 (forall @t6 (not (_ @t154 (_ @t153 (_ @t152 @t151 @t3) @t2) @t1))))))) % 194.05/194.33 (step @p4 :rule refl :args (@t198)) % 194.05/194.33 (step @p5 :rule refl :args (@t4)) % 194.05/194.33 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t4 @t198))) % 194.05/194.33 (step @p7 :rule symm :premises (@p6)) % 194.05/194.33 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 194.05/194.33 (step @p9 :rule cong :premises (@p8) :args (@t5)) % 194.05/194.33 (step @p10 :rule cong :premises (@p9) :args (@t7)) % 194.05/194.33 (step @p11 :rule refl :args (@t199)) % 194.05/194.33 (step @p12 :rule refl :args (@t11)) % 194.05/194.33 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t11 @t199))) % 194.05/194.33 (step @p14 :rule symm :premises (@p13)) % 194.05/194.33 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 194.05/194.33 (step @p16 :rule refl :args ((tptp.cP_6 @t12 @t8))) % 194.05/194.33 (step @p17 :rule refl :args (@t8)) % 194.05/194.33 (step @p18 :rule refl :args (@t200)) % 194.05/194.33 (step @p19 :rule cong :premises (@p18 @p17) :args (@t201)) % 194.05/194.33 (step @p20 :rule trans :premises (@p19 @p16)) % 194.05/194.33 (step @p21 :rule refl :args (tptp.cP_6)) % 194.05/194.33 (step @p22 :rule ho_cong :premises (@p21 @p18)) % 194.05/194.33 (step @p23 :rule ho_cong :premises (@p22 @p17)) % 194.05/194.33 (step @p24 :rule cong :premises (@p23 @p20) :args ((= (_ (_ tptp.cP_6 @t200) @t8) @t201))) % 194.05/194.33 (step @p25 :rule symm :premises (@p24)) % 194.05/194.33 (step @p26 :rule refl :args (@t13)) % 194.05/194.33 (step @p27 :rule eq_resolve :premises (@p26 @p25)) % 194.05/194.33 (step @p28 :rule refl :args (@t12)) % 194.05/194.33 (step @p29 :rule cong :premises (@p28 @p18) :args ((= @t12 @t200))) % 194.05/194.33 (step @p30 :rule symm :premises (@p29)) % 194.05/194.33 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 194.05/194.33 (step @p32 :rule ho_cong :premises (@p21 @p31)) % 194.05/194.33 (step @p33 :rule ho_cong :premises (@p32 @p17)) % 194.05/194.33 (step @p34 :rule trans :premises (@p33 @p27)) % 194.05/194.33 (step @p35 :rule cong :premises (@p34) :args (@t14)) % 194.05/194.33 (step @p36 :rule refl :args ((tptp.cP_6 @t15 @t9))) % 194.05/194.33 (step @p37 :rule refl :args (@t9)) % 194.05/194.33 (step @p38 :rule refl :args (@t202)) % 194.05/194.33 (step @p39 :rule cong :premises (@p38 @p37) :args (@t203)) % 194.05/194.33 (step @p40 :rule trans :premises (@p39 @p36)) % 194.05/194.33 (step @p41 :rule ho_cong :premises (@p21 @p38)) % 194.05/194.33 (step @p42 :rule ho_cong :premises (@p41 @p37)) % 194.05/194.33 (step @p43 :rule cong :premises (@p42 @p40) :args ((= (_ (_ tptp.cP_6 @t202) @t9) @t203))) % 194.05/194.33 (step @p44 :rule symm :premises (@p43)) % 194.05/194.33 (step @p45 :rule refl :args (@t16)) % 194.05/194.33 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 194.05/194.33 (step @p47 :rule refl :args (@t15)) % 194.05/194.33 (step @p48 :rule cong :premises (@p47 @p38) :args ((= @t15 @t202))) % 194.05/194.33 (step @p49 :rule symm :premises (@p48)) % 194.05/194.33 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 194.05/194.33 (step @p51 :rule ho_cong :premises (@p21 @p50)) % 194.05/194.33 (step @p52 :rule ho_cong :premises (@p51 @p37)) % 194.05/194.33 (step @p53 :rule trans :premises (@p52 @p46)) % 194.05/194.33 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(@p534) :args ((or @t264 @t263 (not @t265)))) % 194.05/194.33 (step @p536 :rule chain_m_resolution :premises (@p535 @p533 @p532) :args (@t263 @t262 (@list @t189 @t265))) % 194.05/194.33 (step @p537 :rule and_elim :premises (@p515) :args (6)) % 194.05/194.33 (step @p538 :rule instantiate :premises (@p537) :args (@t256)) % 194.05/194.33 (step @p539 :rule and_elim :premises (@p515) :args (5)) % 194.05/194.33 (step @p540 :rule instantiate :premises (@p539) :args (@t257)) % 194.05/194.33 (step @p541 :rule and_elim :premises (@p515) :args (2)) % 194.05/194.33 (step @p542 :rule cnf_or_pos :args (@t268)) % 194.05/194.33 (step @p543 :rule reordering :premises (@p542) :args ((or @t267 @t266 (not @t268)))) % 194.05/194.33 (step @p544 :rule chain_m_resolution :premises (@p543 @p541 @p540) :args (@t266 @t262 (@list @t195 @t268))) % 194.05/194.33 (step @p545 :rule instantiate :premises (@p539) :args (@t269)) % 194.05/194.33 (step @p546 :rule and_elim :premises (@p515) :args (1)) % 194.05/194.33 (step @p547 :rule cnf_or_pos :args (@t273)) % 194.05/194.33 (step @p548 :rule reordering :premises (@p547) :args ((or @t272 @t271 (not @t273)))) % 194.05/194.33 (step @p549 :rule chain_m_resolution :premises (@p548 @p546 @p545) :args (@t271 @t262 (@list @t196 @t273))) % 194.05/194.33 (step @p550 :rule instantiate :premises (@p539) :args (@t274)) % 194.05/194.33 (step @p551 :rule and_elim :premises (@p515) :args (3)) % 194.05/194.33 (step @p552 :rule cnf_or_pos :args (@t278)) % 194.05/194.33 (step @p553 :rule reordering :premises (@p552) :args ((or @t277 @t276 (not @t278)))) % 194.05/194.33 (step @p554 :rule chain_m_resolution :premises (@p553 @p551 @p550) :args (@t276 @t262 (@list @t194 @t278))) % 194.05/194.33 (step @p555 :rule and_elim :premises (@p515) :args (0)) % 194.05/194.33 (step @p556 :rule cnf_or_pos :args (@t284)) % 194.05/194.33 (step @p557 :rule reordering :premises (@p556) :args ((or @t283 @t280 @t282 @t279 @t281 (not @t284)))) % 194.05/194.33 (step @p558 :rule chain_m_resolution :premises (@p557 @p555 @p554 @p549 @p544 @p538) :args (@t279 @t285 (@list @t197 @t276 @t271 @t266 @t284))) % 194.05/194.33 (step @p559 :rule instantiate :premises (@p531) :args (@t269)) % 194.05/194.33 (step @p560 :rule and_elim :premises (@p515) :args (7)) % 194.05/194.33 (step @p561 :rule cnf_or_pos :args (@t288)) % 194.05/194.33 (step @p562 :rule reordering :premises (@p561) :args ((or @t287 @t286 (not @t288)))) % 194.05/194.33 (step @p563 :rule chain_m_resolution :premises (@p562 @p560 @p559) :args (@t286 @t262 (@list @t190 @t288))) % 194.05/194.33 (step @p564 :rule instantiate :premises (@p531) :args (@t274)) % 194.05/194.33 (step @p565 :rule and_elim :premises (@p515) :args (9)) % 194.05/194.33 (step @p566 :rule cnf_or_pos :args (@t291)) % 194.05/194.33 (step @p567 :rule reordering :premises (@p566) :args ((or @t290 @t289 (not @t291)))) % 194.05/194.33 (step @p568 :rule chain_m_resolution :premises (@p567 @p565 @p564) :args (@t289 @t262 (@list @t188 @t291))) % 194.05/194.33 (step @p569 :rule cnf_or_pos :args (@t297)) % 194.05/194.33 (step @p570 :rule reordering :premises (@p569) :args ((or @t293 @t295 @t296 @t294 @t292 (not @t297)))) % 194.05/194.33 (step @p571 :rule chain_m_resolution :premises (@p570 @p568 @p563 @p558 @p536 @p530) :args (@t292 @t285 (@list @t289 @t286 @t279 @t263 @t297))) % 194.05/194.33 (step @p572 :rule and_elim :premises (@p515) :args (17)) % 194.05/194.33 (step @p573 :rule instantiate :premises (@p572) :args (@t257)) % 194.05/194.33 (step @p574 :rule and_elim :premises (@p515) :args (14)) % 194.05/194.33 (step @p575 :rule cnf_or_pos :args (@t300)) % 194.05/194.33 (step @p576 :rule reordering :premises (@p575) :args ((or @t299 @t298 (not @t300)))) % 194.05/194.33 (step @p577 :rule chain_m_resolution :premises (@p576 @p574 @p573) :args (@t298 @t262 (@list @t183 @t300))) % 194.05/194.33 (step @p578 :rule instantiate :premises (@p572) :args (@t269)) % 194.05/194.33 (step @p579 :rule and_elim :premises (@p515) :args (13)) % 194.05/194.33 (step @p580 :rule cnf_or_pos :args (@t303)) % 194.05/194.33 (step @p581 :rule reordering :premises (@p580) :args ((or @t302 @t301 (not @t303)))) % 194.05/194.33 (step @p582 :rule chain_m_resolution :premises (@p581 @p579 @p578) :args (@t301 @t262 (@list @t184 @t303))) % 194.05/194.33 (step @p583 :rule instantiate :premises (@p572) :args (@t274)) % 194.05/194.33 (step @p584 :rule and_elim :premises (@p515) :args (15)) % 194.05/194.33 (step @p585 :rule cnf_or_pos :args (@t306)) % 194.05/194.33 (step @p586 :rule reordering :premises (@p585) :args ((or @t305 @t304 (not @t306)))) % 194.05/194.33 (step @p587 :rule chain_m_resolution :premises (@p586 @p584 @p583) :args (@t304 @t262 (@list @t182 @t306))) % 194.05/194.33 (step @p588 :rule cnf_or_pos :args (@t312)) % 194.05/194.33 (step @p589 :rule reordering :premises (@p588) :args ((or @t308 @t310 @t307 @t309 @t311 (not @t312)))) % 194.05/194.33 (step @p590 :rule chain_m_resolution :premises (@p589 @p587 @p582 @p577 @p571 @p528) :args (@t307 @t285 (@list @t304 @t301 @t298 @t292 @t312))) % 194.05/194.33 (step @p591 :rule instantiate :premises (@p521) :args (@t269)) % 194.05/194.33 (step @p592 :rule and_elim :premises (@p515) :args (19)) % 194.05/194.33 (step @p593 :rule cnf_or_pos :args (@t315)) % 194.05/194.33 (step @p594 :rule reordering :premises (@p593) :args ((or @t314 @t313 (not @t315)))) % 194.05/194.33 (step @p595 :rule chain_m_resolution :premises (@p594 @p592 @p591) :args (@t313 @t262 (@list @t178 @t315))) % 194.05/194.33 (step @p596 :rule instantiate :premises (@p521) :args (@t274)) % 194.05/194.33 (step @p597 :rule and_elim :premises (@p515) :args (21)) % 194.05/194.33 (step @p598 :rule cnf_or_pos :args (@t318)) % 194.05/194.33 (step @p599 :rule reordering :premises (@p598) :args ((or @t317 @t316 (not @t318)))) % 194.05/194.33 (step @p600 :rule chain_m_resolution :premises (@p599 @p597 @p596) :args (@t316 @t262 (@list @t176 @t318))) % 194.05/194.33 (step @p601 :rule cnf_or_pos :args (@t324)) % 194.05/194.33 (step @p602 :rule reordering :premises (@p601) :args ((or @t320 @t322 @t323 @t321 @t319 (not @t324)))) % 194.05/194.33 (step @p603 :rule chain_m_resolution :premises (@p602 @p600 @p595 @p590 @p526 @p520) :args (@t319 @t285 (@list @t316 @t313 @t307 @t259 @t324))) % 194.05/194.33 (step @p604 :rule and_elim :premises (@p515) :args (29)) % 194.05/194.33 (step @p605 :rule instantiate :premises (@p604) :args (@t257)) % 194.05/194.33 (step @p606 :rule and_elim :premises (@p515) :args (26)) % 194.05/194.33 (step @p607 :rule cnf_or_pos :args (@t327)) % 194.05/194.33 (step @p608 :rule reordering :premises (@p607) :args ((or @t326 @t325 (not @t327)))) % 194.05/194.33 (step @p609 :rule chain_m_resolution :premises (@p608 @p606 @p605) :args (@t325 @t262 (@list @t171 @t327))) % 194.05/194.33 (step @p610 :rule instantiate :premises (@p604) :args (@t269)) % 194.05/194.33 (step @p611 :rule and_elim :premises (@p515) :args (25)) % 194.05/194.33 (step @p612 :rule cnf_or_pos :args (@t330)) % 194.05/194.33 (step @p613 :rule reordering :premises (@p612) :args ((or @t329 @t328 (not @t330)))) % 194.05/194.33 (step @p614 :rule chain_m_resolution :premises (@p613 @p611 @p610) :args (@t328 @t262 (@list @t172 @t330))) % 194.05/194.33 (step @p615 :rule instantiate :premises (@p604) :args (@t274)) % 194.05/194.33 (step @p616 :rule and_elim :premises (@p515) :args (27)) % 194.05/194.33 (step @p617 :rule cnf_or_pos :args (@t333)) % 194.05/194.33 (step @p618 :rule reordering :premises (@p617) :args ((or @t332 @t331 (not @t333)))) % 194.05/194.33 (step @p619 :rule chain_m_resolution :premises (@p618 @p616 @p615) :args (@t331 @t262 (@list @t170 @t333))) % 194.05/194.33 (step @p620 :rule cnf_or_pos :args (@t339)) % 194.05/194.33 (step @p621 :rule reordering :premises (@p620) :args ((or @t335 @t337 @t336 @t338 @t334 (not @t339)))) % 194.05/194.33 (step @p622 :rule chain_m_resolution :premises (@p621 @p619 @p614 @p609 @p603 @p518) :args (@t334 @t285 (@list @t331 @t328 @t325 @t319 @t339))) % 194.05/194.33 (step @p623 :rule and_elim :premises (@p515) :args (35)) % 194.05/194.33 (step @p624 :rule instantiate :premises (@p623) :args (@t257)) % 194.05/194.33 (step @p625 :rule and_elim :premises (@p515) :args (32)) % 194.05/194.33 (step @p626 :rule cnf_or_pos :args (@t342)) % 194.05/194.33 (step @p627 :rule reordering :premises (@p626) :args ((or @t341 @t340 (not @t342)))) % 194.05/194.33 (step @p628 :rule chain_m_resolution :premises (@p627 @p625 @p624) :args (@t340 @t262 (@list @t165 @t342))) % 194.05/194.33 (step @p629 :rule and_elim :premises (@p515) :args (37)) % 194.05/194.33 (step @p630 :rule instantiate :premises (@p629) :args ((@list tptp.a tptp.b tptp.c))) % 194.05/194.33 (step @p631 :rule instantiate :premises (@p623) :args (@t269)) % 194.05/194.33 (step @p632 :rule and_elim :premises (@p515) :args (31)) % 194.05/194.33 (step @p633 :rule cnf_or_pos :args (@t345)) % 194.05/194.33 (step @p634 :rule reordering :premises (@p633) :args ((or @t344 @t343 (not @t345)))) % 194.05/194.33 (step @p635 :rule chain_m_resolution :premises (@p634 @p632 @p631) :args (@t343 @t262 (@list @t166 @t345))) % 194.05/194.33 (step @p636 :rule instantiate :premises (@p623) :args (@t274)) % 194.05/194.33 (step @p637 :rule and_elim :premises (@p515) :args (33)) % 194.05/194.33 (step @p638 :rule cnf_or_pos :args (@t348)) % 194.05/194.33 (step @p639 :rule reordering :premises (@p638) :args ((or @t347 @t346 (not @t348)))) % 194.05/194.33 (step @p640 :rule chain_m_resolution :premises (@p639 @p637 @p636) :args (@t346 @t262 (@list @t164 @t348))) % 194.05/194.33 (step @p641 :rule cnf_or_pos :args (@t354)) % 194.05/194.33 (step @p642 :rule reordering :premises (@p641) :args ((or @t350 @t352 @t349 @t351 @t353 @t355))) % 194.05/194.33 (step @p643 :rule chain_m_resolution :premises (@p642 @p640 @p635 @p630 @p628 @p622) :args (@t355 (@list false false true false false) (@list @t346 @t343 @t349 @t340 @t334))) % 194.05/194.33 (assume-push @p650 @t163) % 194.05/194.33 (step @p645 :rule instantiate :premises (@p516) :args (@t256)) % 194.05/194.33 (step-pop @p651 :rule scope :premises (@p645)) % 194.05/194.33 (step @p646 :rule process_scope :premises (@p651) :args (@t354)) % 194.05/194.33 (step @p648 :rule implies_elim :premises (@p646)) % 194.05/194.33 (step @p649 false :rule chain_m_resolution :premises (@p648 @p643 @p516) :args (false (@list true false) (@list @t354 @t163))) % 194.05/194.33 ) % 194.05/194.33 % SZS output end Proof % 194.05/194.33 % cvc5 exiting %------------------------------------------------------------------------------