%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV210^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:55:36 AM UTC 2026 % Result : Theorem 151.00s 151.43s % Output : Proof 151.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV210^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.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 : Tue Jun 2 18:20:03 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.50 %----Proving TH0 % 151.00/151.43 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 151.00/151.43 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 151.00/151.43 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 151.00/151.43 --- Run --ho-elim --full-saturate-quant at 18s... % 151.00/151.43 % SZS status Theorem % 151.00/151.43 % SZS output start Proof % 151.00/151.43 ( % 151.00/151.43 (declare-sort tptp.a 0) % 151.00/151.43 (declare-const tptp.cZ tptp.a) % 151.00/151.43 (declare-const tptp.x tptp.a) % 151.00/151.43 (declare-const tptp.y tptp.a) % 151.00/151.43 (declare-const tptp.cP (-> tptp.a tptp.a tptp.a)) % 151.00/151.43 (declare-const tptp.u tptp.a) % 151.00/151.43 (declare-const tptp.v tptp.a) % 151.00/151.43 (define @t1 () (_ (_ tptp.cP tptp.u) tptp.v)) % 151.00/151.43 (define @t2 () (_ (_ tptp.cP tptp.x) tptp.y)) % 151.00/151.43 (define @t3 () (@var "R" (-> tptp.a tptp.a tptp.a Bool))) % 151.00/151.43 (define @t4 () (_ (_ (_ @t3 @t2) @t1) @t1)) % 151.00/151.43 (define @t5 () (@var "Xc" tptp.a)) % 151.00/151.43 (define @t6 () (@var "Xb" tptp.a)) % 151.00/151.43 (define @t7 () (@var "Xa" tptp.a)) % 151.00/151.43 (define @t8 () (_ (_ (_ @t3 @t7) @t6) @t5)) % 151.00/151.43 (define @t9 () (@var "Xz2" tptp.a)) % 151.00/151.43 (define @t10 () (@var "Xy2" tptp.a)) % 151.00/151.43 (define @t11 () (@var "Xx2" tptp.a)) % 151.00/151.43 (define @t12 () (_ (_ (_ @t3 @t11) @t10) @t9)) % 151.00/151.43 (define @t13 () (@var "Xz1" tptp.a)) % 151.00/151.43 (define @t14 () (@var "Xy1" tptp.a)) % 151.00/151.43 (define @t15 () (@var "Xx1" tptp.a)) % 151.00/151.43 (define @t16 () (_ (_ (_ @t3 @t15) @t14) @t13)) % 151.00/151.43 (define @t17 () (_ (_ tptp.cP @t13) @t9)) % 151.00/151.43 (define @t18 () (= @t5 @t17)) % 151.00/151.43 (define @t19 () (_ (_ tptp.cP @t14) @t10)) % 151.00/151.43 (define @t20 () (= @t6 @t19)) % 151.00/151.43 (define @t21 () (_ (_ tptp.cP @t15) @t11)) % 151.00/151.43 (define @t22 () (= @t7 @t21)) % 151.00/151.43 (define @t23 () (and @t22 @t20 @t18 @t16 @t12)) % 151.00/151.43 (define @t24 () (@list @t15 @t11 @t14 @t10 @t13 @t9)) % 151.00/151.43 (define @t25 () (exists @t24 @t23)) % 151.00/151.43 (define @t26 () (= @t7 @t5)) % 151.00/151.43 (define @t27 () (and (= @t6 tptp.cZ) @t26)) % 151.00/151.43 (define @t28 () (= @t6 @t5)) % 151.00/151.43 (define @t29 () (and (= @t7 tptp.cZ) @t28)) % 151.00/151.43 (define @t30 () (or @t29 @t27 @t25)) % 151.00/151.43 (define @t31 () (=> @t30 @t8)) % 151.00/151.43 (define @t32 () (@list @t7 @t6 @t5)) % 151.00/151.43 (define @t33 () (forall @t32 @t31)) % 151.00/151.43 (define @t34 () (and true @t33)) % 151.00/151.43 (define @t35 () (=> @t34 @t4)) % 151.00/151.43 (define @t36 () (@list @t3)) % 151.00/151.43 (define @t37 () (forall @t36 @t35)) % 151.00/151.43 (define @t38 () (_ (_ (_ @t3 tptp.y) tptp.v) tptp.v)) % 151.00/151.43 (define @t39 () (=> @t34 @t38)) % 151.00/151.43 (define @t40 () (forall @t36 @t39)) % 151.00/151.43 (define @t41 () (=> @t40 @t37)) % 151.00/151.43 (define @t42 () (_ (_ (_ @t3 tptp.x) tptp.u) tptp.u)) % 151.00/151.43 (define @t43 () (=> @t34 @t42)) % 151.00/151.43 (define @t44 () (forall @t36 @t43)) % 151.00/151.43 (define @t45 () (=> @t44 @t41)) % 151.00/151.43 (define @t46 () (@var "Xx0" tptp.a)) % 151.00/151.43 (define @t47 () (@var "X" (-> tptp.a Bool))) % 151.00/151.43 (define @t48 () (_ @t47 @t46)) % 151.00/151.43 (define @t49 () (@list @t46)) % 151.00/151.43 (define @t50 () (forall @t49 @t48)) % 151.00/151.43 (define @t51 () (@var "Xy0" tptp.a)) % 151.00/151.43 (define @t52 () (_ tptp.cP @t46)) % 151.00/151.43 (define @t53 () (_ @t52 @t51)) % 151.00/151.43 (define @t54 () (_ @t47 @t53)) % 151.00/151.43 (define @t55 () (_ @t47 @t51)) % 151.00/151.43 (define @t56 () (and @t48 @t55)) % 151.00/151.43 (define @t57 () (@list @t46 @t51)) % 151.00/151.43 (define @t58 () (forall @t57 (=> @t56 @t54))) % 151.00/151.43 (define @t59 () (_ @t47 tptp.cZ)) % 151.00/151.43 (define @t60 () (and @t59 @t58)) % 151.00/151.43 (define @t61 () (=> @t60 @t50)) % 151.00/151.43 (define @t62 () (@list @t47)) % 151.00/151.43 (define @t63 () (forall @t62 @t61)) % 151.00/151.43 (define @t64 () (@var "Xv0" tptp.a)) % 151.00/151.43 (define @t65 () (@var "Xu0" tptp.a)) % 151.00/151.43 (define @t66 () (and (= @t46 @t51) (= @t65 @t64))) % 151.00/151.43 (define @t67 () (_ (_ tptp.cP @t51) @t64)) % 151.00/151.43 (define @t68 () (_ @t52 @t65)) % 151.00/151.43 (define @t69 () (= @t68 @t67)) % 151.00/151.43 (define @t70 () (@list @t46 @t51 @t65 @t64)) % 151.00/151.43 (define @t71 () (forall @t70 (=> @t69 @t66))) % 151.00/151.43 (define @t72 () (not (= @t53 tptp.cZ))) % 151.00/151.43 (define @t73 () (forall @t57 @t72)) % 151.00/151.43 (define @t74 () (and @t73 @t71 @t63)) % 151.00/151.43 (define @t75 () (=> @t74 @t45)) % 151.00/151.43 (define @t76 () (not @t75)) % 151.00/151.43 (define @t77 () (@const 0 (@ho-elim-sort (-> tptp.a tptp.a tptp.a)))) % 151.00/151.43 (define @t78 () (@const 1 (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a (@ho-elim-sort (-> tptp.a tptp.a))))) % 151.00/151.43 (define @t79 () (@const 2 (-> (@ho-elim-sort (-> tptp.a tptp.a)) tptp.a tptp.a))) % 151.00/151.43 (define @t80 () (_ @t79 (_ @t78 @t77 tptp.u) tptp.v)) % 151.00/151.43 (define @t81 () (_ @t79 (_ @t78 @t77 tptp.x) tptp.y)) % 151.00/151.43 (define @t82 () (@var "BOUND_VARIABLE_7705" (@ho-elim-sort (-> tptp.a tptp.a tptp.a Bool)))) % 151.00/151.43 (define @t83 () (@const 3 (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a Bool)) tptp.a (@ho-elim-sort (-> tptp.a tptp.a Bool))))) % 151.00/151.43 (define @t84 () (@const 4 (-> (@ho-elim-sort (-> tptp.a tptp.a Bool)) tptp.a (@ho-elim-sort (-> tptp.a Bool))))) % 151.00/151.43 (define @t85 () (@const 5 (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool))) % 151.00/151.43 (define @t86 () (@var "BOUND_VARIABLE_7629" tptp.a)) % 151.00/151.43 (define @t87 () (@var "BOUND_VARIABLE_7625" tptp.a)) % 151.00/151.43 (define @t88 () (@var "BOUND_VARIABLE_7621" tptp.a)) % 151.00/151.43 (define @t89 () (@var "BOUND_VARIABLE_7627" tptp.a)) % 151.00/151.43 (define @t90 () (@var "BOUND_VARIABLE_7623" tptp.a)) % 151.00/151.43 (define @t91 () (@var "BOUND_VARIABLE_7619" tptp.a)) % 151.00/151.43 (define @t92 () (not (= @t5 (_ @t79 (_ @t78 @t77 @t89) @t86)))) % 151.00/151.43 (define @t93 () (not (= @t6 (_ @t79 (_ @t78 @t77 @t90) @t87)))) % 151.00/151.43 (define @t94 () (not (= @t7 (_ @t79 (_ @t78 @t77 @t91) @t88)))) % 151.00/151.43 (define @t95 () (= tptp.cZ @t6)) % 151.00/151.43 (define @t96 () (or (not @t95) (not @t26))) % 151.00/151.43 (define @t97 () (= tptp.cZ @t7)) % 151.00/151.43 (define @t98 () (or (not @t97) (not @t28))) % 151.00/151.43 (define @t99 () (@list @t7 @t6 @t5 @t91 @t88 @t90 @t87 @t89 @t86)) % 151.00/151.43 (define @t100 () (not (forall @t99 (or (and @t98 @t96 (or @t94 @t93 @t92 (not (_ @t85 (_ @t84 (_ @t83 @t82 @t91) @t90) @t89)) (not (_ @t85 (_ @t84 (_ @t83 @t82 @t88) @t87) @t86)))) (_ @t85 (_ @t84 (_ @t83 @t82 @t7) @t6) @t5))))) % 151.00/151.43 (define @t101 () (@list @t82)) % 151.00/151.43 (define @t102 () (forall @t101 (or @t100 (_ @t85 (_ @t84 (_ @t83 @t82 @t81) @t80) @t80)))) % 151.00/151.43 (define @t103 () (forall @t101 (or @t100 (_ @t85 (_ @t84 (_ @t83 @t82 tptp.y) tptp.v) tptp.v)))) % 151.00/151.43 (define @t104 () (=> (forall @t101 (or @t100 (_ @t85 (_ @t84 (_ @t83 @t82 tptp.x) tptp.u) tptp.u))) (=> @t103 @t102))) % 151.00/151.43 (define @t105 () (@var "BOUND_VARIABLE_7564" tptp.a)) % 151.00/151.43 (define @t106 () (@var "BOUND_VARIABLE_7773" (@ho-elim-sort (-> tptp.a Bool)))) % 151.00/151.43 (define @t107 () (_ @t78 @t77 @t46)) % 151.00/151.43 (define @t108 () (_ @t79 @t107 @t51)) % 151.00/151.43 (define @t109 () (forall (@list @t106 @t105) (or (not (_ @t85 @t106 tptp.cZ)) (not (forall @t57 (or (not (_ @t85 @t106 @t46)) (not (_ @t85 @t106 @t51)) (_ @t85 @t106 @t108)))) (_ @t85 @t106 @t105)))) % 151.00/151.43 (define @t110 () (_ @t79 @t107 @t65)) % 151.00/151.43 (define @t111 () (_ @t79 (_ @t78 @t77 @t51) @t64)) % 151.00/151.43 (define @t112 () (not (= @t110 @t111))) % 151.00/151.43 (define @t113 () (or @t112 @t66)) % 151.00/151.43 (define @t114 () (forall @t70 @t113)) % 151.00/151.43 (define @t115 () (forall @t57 (not (= tptp.cZ @t108)))) % 151.00/151.43 (define @t116 () (and @t115 @t114 @t109)) % 151.00/151.43 (define @t117 () (=> @t116 @t104)) % 151.00/151.43 (define @t118 () (not @t117)) % 151.00/151.43 (define @t119 () (tptp.cP tptp.u tptp.v)) % 151.00/151.43 (define @t120 () (tptp.cP tptp.x tptp.y)) % 151.00/151.43 (define @t121 () (_ @t3 @t120 @t119 @t119)) % 151.00/151.43 (define @t122 () (_ @t3 @t7 @t6 @t5)) % 151.00/151.43 (define @t123 () (or (not (= @t7 (tptp.cP @t91 @t88))) (not (= @t6 (tptp.cP @t90 @t87))) (not (= @t5 (tptp.cP @t89 @t86))) (not (_ @t3 @t91 @t90 @t89)) (not (_ @t3 @t88 @t87 @t86)))) % 151.00/151.43 (define @t124 () (and @t98 @t96 @t123)) % 151.00/151.43 (define @t125 () (or @t124 @t122)) % 151.00/151.43 (define @t126 () (forall @t99 @t125)) % 151.00/151.43 (define @t127 () (not @t126)) % 151.00/151.43 (define @t128 () (_ @t3 tptp.y tptp.v tptp.v)) % 151.00/151.43 (define @t129 () (_ @t3 tptp.x tptp.u tptp.u)) % 151.00/151.43 (define @t130 () (_ @t47 @t105)) % 151.00/151.43 (define @t131 () (tptp.cP @t46 @t51)) % 151.00/151.43 (define @t132 () (_ @t47 @t131)) % 151.00/151.43 (define @t133 () (_ @t47 @t51)) % 151.00/151.43 (define @t134 () (_ @t47 @t46)) % 151.00/151.43 (define @t135 () (forall @t57 (or (not @t134) (not @t133) @t132))) % 151.00/151.43 (define @t136 () (not @t135)) % 151.00/151.43 (define @t137 () (_ @t47 tptp.cZ)) % 151.00/151.43 (define @t138 () (not @t137)) % 151.00/151.43 (define @t139 () (or @t138 @t136 @t130)) % 151.00/151.43 (define @t140 () (forall (@list @t47 @t105) @t139)) % 151.00/151.43 (define @t141 () (tptp.cP @t51 @t64)) % 151.00/151.43 (define @t142 () (tptp.cP @t46 @t65)) % 151.00/151.43 (define @t143 () (or @t127 @t4)) % 151.00/151.43 (define @t144 () (@list @t91 @t88 @t90 @t87 @t89 @t86)) % 151.00/151.43 (define @t145 () (forall @t144 @t125)) % 151.00/151.43 (define @t146 () (forall @t144 @t123)) % 151.00/151.43 (define @t147 () (forall @t144 @t96)) % 151.00/151.43 (define @t148 () (forall @t144 @t98)) % 151.00/151.43 (define @t149 () (and @t148 @t147 @t146)) % 151.00/151.43 (define @t150 () (forall @t144 @t124)) % 151.00/151.43 (define @t151 () (or @t150 @t122)) % 151.00/151.43 (define @t152 () (_ @t3 @t11 @t10 @t9)) % 151.00/151.43 (define @t153 () (_ @t3 @t15 @t14 @t13)) % 151.00/151.43 (define @t154 () (tptp.cP @t13 @t9)) % 151.00/151.43 (define @t155 () (tptp.cP @t14 @t10)) % 151.00/151.43 (define @t156 () (tptp.cP @t15 @t11)) % 151.00/151.43 (define @t157 () (forall @t24 (or (not (= @t7 @t156)) (not (= @t6 @t155)) (not (= @t5 @t154)) (not @t153) (not @t152)))) % 151.00/151.43 (define @t158 () (and @t98 @t96 @t157)) % 151.00/151.43 (define @t159 () (or @t158 @t8)) % 151.00/151.43 (define @t160 () (and @t95 @t26)) % 151.00/151.43 (define @t161 () (not @t160)) % 151.00/151.43 (define @t162 () (and @t97 @t28)) % 151.00/151.43 (define @t163 () (not @t162)) % 151.00/151.43 (define @t164 () (not @t157)) % 151.00/151.43 (define @t165 () (not @t164)) % 151.00/151.43 (define @t166 () (and @t163 @t161 @t165)) % 151.00/151.43 (define @t167 () (or @t162 @t160 @t164)) % 151.00/151.43 (define @t168 () (not @t12)) % 151.00/151.43 (define @t169 () (not @t16)) % 151.00/151.43 (define @t170 () (not @t18)) % 151.00/151.43 (define @t171 () (not @t20)) % 151.00/151.43 (define @t172 () (not @t22)) % 151.00/151.43 (define @t173 () (or @t172 @t171 @t170 @t169 @t168)) % 151.00/151.43 (define @t174 () (forall @t24 (not @t23))) % 151.00/151.43 (define @t175 () (not @t174)) % 151.00/151.43 (define @t176 () (or @t127 @t38)) % 151.00/151.43 (define @t177 () (or @t127 @t42)) % 151.00/151.43 (define @t178 () (@list @t105)) % 151.00/151.43 (define @t179 () (forall @t178 @t139)) % 151.00/151.43 (define @t180 () (forall @t178 @t130)) % 151.00/151.43 (define @t181 () (or @t138 @t136 @t180)) % 151.00/151.43 (define @t182 () (forall @t49 @t134)) % 151.00/151.43 (define @t183 () (not @t59)) % 151.00/151.43 (define @t184 () (or @t183 @t136 @t182)) % 151.00/151.43 (define @t185 () (and @t59 @t135)) % 151.00/151.43 (define @t186 () (not @t55)) % 151.00/151.43 (define @t187 () (not @t48)) % 151.00/151.43 (define @t188 () (or @t187 @t186 @t54)) % 151.00/151.43 (define @t189 () (not @t69)) % 151.00/151.43 (define @t190 () (or @t189 @t66)) % 151.00/151.43 (define @t191 () (= tptp.cZ @t53)) % 151.00/151.43 (define @t192 () (not @t191)) % 151.00/151.43 (define @t193 () (@quantifiers_skolemize @t102 0)) % 151.00/151.43 (define @t194 () (forall @t99 (or (and @t98 @t96 (or @t94 @t93 @t92 (not (_ @t85 (_ @t84 (_ @t83 @t193 @t91) @t90) @t89)) (not (_ @t85 (_ @t84 (_ @t83 @t193 @t88) @t87) @t86)))) (_ @t85 (_ @t84 (_ @t83 @t193 @t7) @t6) @t5)))) % 151.00/151.43 (define @t195 () (_ @t85 (_ @t84 (_ @t83 @t193 @t81) @t80) @t80)) % 151.00/151.43 (define @t196 () (not @t194)) % 151.00/151.43 (define @t197 () (or @t196 @t195)) % 151.00/151.43 (define @t198 () (@list true)) % 151.00/151.43 (define @t199 () (@list @t197)) % 151.00/151.43 (define @t200 () (_ @t85 (_ @t84 (_ @t83 @t193 tptp.y) tptp.v) tptp.v)) % 151.00/151.43 (define @t201 () (not @t200)) % 151.00/151.43 (define @t202 () (_ @t85 (_ @t84 (_ @t83 @t193 tptp.x) tptp.u) tptp.u)) % 151.00/151.43 (define @t203 () (not @t202)) % 151.00/151.43 (define @t204 () (or @t203 @t201)) % 151.00/151.43 (define @t205 () (not (= @t80 @t80))) % 151.00/151.43 (define @t206 () (not (= @t81 @t81))) % 151.00/151.43 (define @t207 () (or @t206 @t205 @t205 @t203 @t201)) % 151.00/151.43 (define @t208 () (not (= @t81 @t80))) % 151.00/151.43 (define @t209 () (not (= tptp.cZ @t80))) % 151.00/151.43 (define @t210 () (or @t209 @t208)) % 151.00/151.43 (define @t211 () (not (= tptp.cZ @t81))) % 151.00/151.43 (define @t212 () (or @t211 @t205)) % 151.00/151.43 (define @t213 () (and @t212 @t210 @t207)) % 151.00/151.43 (define @t214 () (or @t213 @t195)) % 151.00/151.43 (define @t215 () (and @t211 (or @t209 (not (= @t80 @t81))) @t204)) % 151.00/151.43 (define @t216 () (or @t215 @t195)) % 151.00/151.43 (define @t217 () (@list false)) % 151.00/151.43 (define @t218 () (@list true false)) % 151.00/151.43 (define @t219 () (@list @t193)) % 151.00/151.43 (define @t220 () (or @t196 @t202)) % 151.00/151.43 (define @t221 () (@list false false)) % 151.00/151.43 (define @t222 () (or @t196 @t200)) % 151.00/151.43 (define @t223 () (not @t222)) % 151.00/151.43 (assume @p1 @t76) % 151.00/151.43 (assume @p2 true) % 151.00/151.43 (step @p3 :rule refl :args (@t104)) % 151.00/151.43 (step @p4 :rule refl :args (@t109)) % 151.00/151.43 (step @p5 :rule refl :args (@t66)) % 151.00/151.43 (step @p6 :rule eq-symm :args (@t110 @t111)) % 151.00/151.43 (step @p7 :rule cong :premises (@p6) :args (@t112)) % 151.00/151.43 (step @p8 :rule nary_cong :premises (@p7 @p5) :args (@t113)) % 151.00/151.43 (step @p9 :rule cong :premises (@p8) :args (@t114)) % 151.00/151.43 (step @p10 :rule refl :args (@t115)) % 151.00/151.43 (step @p11 :rule nary_cong :premises (@p10 @p9 @p4) :args (@t116)) % 151.00/151.43 (step @p12 :rule cong :premises (@p11 @p3) :args (@t117)) % 151.00/151.43 (step @p13 :rule cong :premises (@p12) :args (@t118)) % 151.00/151.43 ; WARNING: add trust step for TRUST % 151.00/151.43 ; trust TRUST PREPROCESS_HO_ELIM % 151.00/151.43 (step @p14 :rule trust :premises () :args ((= (not (=> (and (forall @t57 (not (= tptp.cZ @t131))) (forall @t70 (or (not (= @t142 @t141)) @t66)) @t140) (=> (forall @t36 (or @t127 @t129)) (=> (forall @t36 (or @t127 @t128)) (forall @t36 (or @t127 @t121)))))) @t118))) % 151.00/151.43 (step @p15 :rule refl :args ((_ @t3 @t2 @t1 @t1))) % 151.00/151.43 (step @p16 :rule refl :args (@t119)) % 151.00/151.43 (step @p17 :rule refl :args (@t120)) % 151.00/151.43 (step @p18 :rule cong :premises (@p17 @p16 @p16) :args (@t121)) % 151.00/151.43 (step @p19 :rule trans :premises (@p18 @p15)) % 151.00/151.43 (step @p20 :rule refl :args (@t3)) % 151.00/151.43 (step @p21 :rule ho_cong :premises (@p20 @p17)) % 151.00/151.43 (step @p22 :rule ho_cong :premises (@p21 @p16)) % 151.00/151.43 (step @p23 :rule ho_cong :premises (@p22 @p16)) % 151.00/151.43 (step @p24 :rule cong :premises (@p23 @p19) :args ((= (_ (_ (_ @t3 @t120) @t119) @t119) @t121))) % 151.00/151.43 (step @p25 :rule symm :premises (@p24)) % 151.00/151.43 (step @p26 :rule refl :args (@t4)) % 151.00/151.43 (step @p27 :rule eq_resolve :premises (@p26 @p25)) % 151.00/151.43 (step @p28 :rule refl :args (@t1)) % 151.00/151.43 (step @p29 :rule cong :premises (@p28 @p16) :args ((= @t1 @t119))) % 151.00/151.43 (step @p30 :rule symm :premises (@p29)) % 151.00/151.43 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 151.00/151.43 (step @p32 :rule refl :args (@t2)) % 151.00/151.43 (step @p33 :rule cong :premises (@p32 @p17) :args ((= @t2 @t120))) % 151.00/151.43 (step @p34 :rule symm :premises (@p33)) % 151.00/151.43 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 151.00/151.43 (step @p36 :rule ho_cong :premises (@p20 @p35)) % 151.00/151.43 (step @p37 :rule ho_cong :premises (@p36 @p31)) % 151.00/151.43 (step @p38 :rule ho_cong :premises (@p37 @p31)) % 151.00/151.43 (step @p39 :rule trans :premises (@p38 @p27)) % 151.00/151.43 (step @p40 :rule refl :args (@t127)) % 151.00/151.43 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t143)) % 151.00/151.43 (step @p42 :rule cong :premises (@p41) :args ((forall @t36 @t143))) % 151.00/151.43 (step @p43 :rule bool-impl-elim :args (@t126 @t4)) % 151.00/151.43 (step @p44 :rule cong :premises (@p43) :args ((forall @t36 (=> @t126 @t4)))) % 151.00/151.43 (step @p45 :rule trans :premises (@p44 @p42)) % 151.00/151.43 (step @p46 :rule refl :args (@t4)) % 151.00/151.43 (step @p47 :rule quant-merge-prenex :args ((= (forall @t32 @t145) @t126))) % 151.00/151.43 (step @p48 :rule refl :args (@t122)) % 151.00/151.43 (step @p49 :rule alpha_equiv :args (@t146 (@list @t91 @t88 @t90 @t87 @t89 @t86) (@list @t15 @t11 @t14 @t10 @t13 @t9))) % 151.00/151.43 (step @p50 :rule quant-unused-vars :args ((= @t147 @t96))) % 151.00/151.43 (step @p51 :rule quant-unused-vars :args ((= @t148 @t98))) % 151.00/151.43 (step @p52 :rule nary_cong :premises (@p51 @p50 @p49) :args (@t149)) % 151.00/151.43 (step @p53 :rule quant-miniscope-and :args ((= @t150 @t149))) % 151.00/151.43 (step @p54 :rule trans :premises (@p53 @p52)) % 151.00/151.43 (step @p55 :rule nary_cong :premises (@p54 @p48) :args (@t151)) % 151.00/151.43 (step @p56 :rule quant-miniscope-or :args ((= @t145 @t151))) % 151.00/151.43 (step @p57 :rule trans :premises (@p56 @p55)) % 151.00/151.43 (step @p58 :rule symm :premises (@p57)) % 151.00/151.43 (step @p59 :rule cong :premises (@p58) :args ((forall @t32 (or @t158 @t122)))) % 151.00/151.43 (step @p60 :rule trans :premises (@p59 @p47)) % 151.00/151.43 (step @p61 :rule refl :args (@t122)) % 151.00/151.43 (step @p62 :rule refl :args (@t8)) % 151.00/151.43 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t8 @t122))) % 151.00/151.43 (step @p64 :rule symm :premises (@p63)) % 151.00/151.43 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 151.00/151.43 (step @p66 :rule refl :args (@t158)) % 151.00/151.43 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t159)) % 151.00/151.43 (step @p68 :rule cong :premises (@p67) :args ((forall @t32 @t159))) % 151.00/151.43 (step @p69 :rule trans :premises (@p68 @p60)) % 151.00/151.43 (step @p70 :rule refl :args (@t157)) % 151.00/151.43 (step @p71 :rule bool-and-de-morgan :args (@t95 @t26 true)) % 151.00/151.43 (step @p72 :rule bool-and-de-morgan :args (@t97 @t28 true)) % 151.00/151.43 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70) :args ((and @t163 @t161 @t157))) % 151.00/151.43 (step @p74 :rule bool-double-not-elim :args (@t157)) % 151.00/151.43 (step @p75 :rule refl :args (@t161)) % 151.00/151.43 (step @p76 :rule refl :args (@t163)) % 151.00/151.43 (step @p77 :rule nary_cong :premises (@p76 @p75 @p74) :args (@t166)) % 151.00/151.43 (step @p78 :rule aci_norm :args ((= (and @t163 (and @t161 @t165)) @t166))) % 151.00/151.43 (step @p79 :rule trans :premises (@p78 @p77)) % 151.00/151.43 (step @p80 :rule bool-or-de-morgan :args (@t160 @t164 false)) % 151.00/151.43 (step @p81 :rule nary_cong :premises (@p76 @p80) :args ((and @t163 (not (or @t160 @t164))))) % 151.00/151.43 (step @p82 :rule bool-or-de-morgan :args (@t162 @t160 (or @t164))) % 151.00/151.43 (step @p83 :rule trans :premises (@p82 @p81)) % 151.00/151.43 (step @p84 :rule trans :premises (@p83 @p79)) % 151.00/151.43 (step @p85 :rule trans :premises (@p84 @p73)) % 151.00/151.43 (step @p86 :rule nary_cong :premises (@p85 @p62) :args ((or (not @t167) @t8))) % 151.00/151.43 (step @p87 :rule bool-impl-elim :args (@t167 @t8)) % 151.00/151.43 (step @p88 :rule trans :premises (@p87 @p86)) % 151.00/151.43 (step @p89 :rule cong :premises (@p88) :args ((forall @t32 (=> @t167 @t8)))) % 151.00/151.43 (step @p90 :rule trans :premises (@p89 @p69)) % 151.00/151.43 (step @p91 :rule refl :args (@t8)) % 151.00/151.43 (step @p92 :rule refl :args (@t152)) % 151.00/151.43 (step @p93 :rule refl :args (@t12)) % 151.00/151.43 (step @p94 :rule cong :premises (@p93 @p92) :args ((= @t12 @t152))) % 151.00/151.43 (step @p95 :rule symm :premises (@p94)) % 151.00/151.43 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 151.00/151.43 (step @p97 :rule cong :premises (@p96) :args (@t168)) % 151.00/151.43 (step @p98 :rule refl :args (@t153)) % 151.00/151.43 (step @p99 :rule refl :args (@t16)) % 151.00/151.43 (step @p100 :rule cong :premises (@p99 @p98) :args ((= @t16 @t153))) % 151.00/151.43 (step @p101 :rule symm :premises (@p100)) % 151.00/151.43 (step @p102 :rule eq_resolve :premises (@p99 @p101)) % 151.00/151.43 (step @p103 :rule cong :premises (@p102) :args (@t169)) % 151.00/151.43 (step @p104 :rule refl :args (@t154)) % 151.00/151.43 (step @p105 :rule refl :args (@t17)) % 151.00/151.43 (step @p106 :rule cong :premises (@p105 @p104) :args ((= @t17 @t154))) % 151.00/151.43 (step @p107 :rule symm :premises (@p106)) % 151.00/151.43 (step @p108 :rule eq_resolve :premises (@p105 @p107)) % 151.00/151.43 (step @p109 :rule refl :args (@t5)) % 151.00/151.43 (step @p110 :rule cong :premises (@p109 @p108) :args (@t18)) % 151.00/151.43 (step @p111 :rule cong :premises (@p110) :args (@t170)) % 151.00/151.43 (step @p112 :rule refl :args (@t155)) % 151.00/151.43 (step @p113 :rule refl :args (@t19)) % 151.00/151.43 (step @p114 :rule cong :premises (@p113 @p112) :args ((= @t19 @t155))) % 151.00/151.43 (step @p115 :rule symm :premises (@p114)) % 151.00/151.43 (step @p116 :rule eq_resolve :premises (@p113 @p115)) % 151.00/151.43 (step @p117 :rule refl :args (@t6)) % 151.00/151.43 (step @p118 :rule cong :premises (@p117 @p116) :args (@t20)) % 151.00/151.43 (step @p119 :rule cong :premises (@p118) :args (@t171)) % 151.00/151.43 (step @p120 :rule refl :args (@t156)) % 151.00/151.43 (step @p121 :rule refl :args (@t21)) % 151.00/151.43 (step @p122 :rule cong :premises (@p121 @p120) :args ((= @t21 @t156))) % 151.00/151.43 (step @p123 :rule symm :premises (@p122)) % 151.00/151.43 (step @p124 :rule eq_resolve :premises (@p121 @p123)) % 151.00/151.43 (step @p125 :rule refl :args (@t7)) % 151.00/151.43 (step @p126 :rule cong :premises (@p125 @p124) :args (@t22)) % 151.00/151.43 (step @p127 :rule cong :premises (@p126) :args (@t172)) % 151.00/151.43 (step @p128 :rule nary_cong :premises (@p127 @p119 @p111 @p103 @p97) :args (@t173)) % 151.00/151.43 (step @p129 :rule cong :premises (@p128) :args ((forall @t24 @t173))) % 151.00/151.43 (step @p130 :rule aci_norm :args ((= (or @t172 (or @t171 (or @t170 (or @t169 @t168)))) @t173))) % 151.00/151.43 (step @p131 :rule bool-and-de-morgan :args (@t16 @t12 true)) % 151.00/151.43 (step @p132 :rule refl :args (@t170)) % 151.00/151.43 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or @t170 (not (and @t16 @t12))))) % 151.00/151.43 (step @p134 :rule bool-and-de-morgan :args (@t18 @t16 (and @t12))) % 151.00/151.43 (step @p135 :rule trans :premises (@p134 @p133)) % 151.00/151.43 (step @p136 :rule refl :args (@t171)) % 151.00/151.43 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or @t171 (not (and @t18 @t16 @t12))))) % 151.00/151.43 (step @p138 :rule bool-and-de-morgan :args (@t20 @t18 (and @t16 @t12))) % 151.00/151.43 (step @p139 :rule trans :premises (@p138 @p137)) % 151.00/151.43 (step @p140 :rule refl :args (@t172)) % 151.00/151.43 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t172 (not (and @t20 @t18 @t16 @t12))))) % 151.00/151.43 (step @p142 :rule bool-and-de-morgan :args (@t22 @t20 (and @t18 @t16 @t12))) % 151.00/151.43 (step @p143 :rule trans :premises (@p142 @p141)) % 151.00/151.43 (step @p144 :rule trans :premises (@p143 @p130)) % 151.00/151.43 (step @p145 :rule cong :premises (@p144) :args (@t174)) % 151.00/151.43 (step @p146 :rule trans :premises (@p145 @p129)) % 151.00/151.43 (step @p147 :rule cong :premises (@p146) :args (@t175)) % 151.00/151.43 (step @p148 :rule exists-elim :args ((= @t25 @t175))) % 151.00/151.43 (step @p149 :rule trans :premises (@p148 @p147)) % 151.00/151.43 (step @p150 :rule refl :args (@t26)) % 151.00/151.43 (step @p151 :rule eq-symm :args (@t6 tptp.cZ)) % 151.00/151.43 (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t27)) % 151.00/151.43 (step @p153 :rule refl :args (@t28)) % 151.00/151.43 (step @p154 :rule eq-symm :args (@t7 tptp.cZ)) % 151.00/151.43 (step @p155 :rule nary_cong :premises (@p154 @p153) :args (@t29)) % 151.00/151.43 (step @p156 :rule nary_cong :premises (@p155 @p152 @p149) :args (@t30)) % 151.00/151.43 (step @p157 :rule cong :premises (@p156 @p91) :args (@t31)) % 151.00/151.43 (step @p158 :rule cong :premises (@p157) :args (@t33)) % 151.00/151.43 (step @p159 :rule trans :premises (@p158 @p90)) % 151.00/151.43 (step @p160 :rule aci_norm :args ((= @t34 @t33))) % 151.00/151.43 (step @p161 :rule trans :premises (@p160 @p159)) % 151.00/151.43 (step @p162 :rule cong :premises (@p161 @p46) :args (@t35)) % 151.00/151.43 (step @p163 :rule cong :premises (@p162) :args (@t37)) % 151.00/151.43 (step @p164 :rule trans :premises (@p163 @p45)) % 151.00/151.43 (step @p165 :rule refl :args (@t128)) % 151.00/151.43 (step @p166 :rule refl :args (@t38)) % 151.00/151.43 (step @p167 :rule cong :premises (@p166 @p165) :args ((= @t38 @t128))) % 151.00/151.43 (step @p168 :rule symm :premises (@p167)) % 151.00/151.43 (step @p169 :rule eq_resolve :premises (@p166 @p168)) % 151.00/151.43 (step @p170 :rule nary_cong :premises (@p40 @p169) :args (@t176)) % 151.00/151.43 (step @p171 :rule cong :premises (@p170) :args ((forall @t36 @t176))) % 151.00/151.43 (step @p172 :rule bool-impl-elim :args (@t126 @t38)) % 151.00/151.43 (step @p173 :rule cong :premises (@p172) :args ((forall @t36 (=> @t126 @t38)))) % 151.00/151.43 (step @p174 :rule trans :premises (@p173 @p171)) % 151.00/151.43 (step @p175 :rule refl :args (@t38)) % 151.00/151.43 (step @p176 :rule cong :premises (@p161 @p175) :args (@t39)) % 151.00/151.43 (step @p177 :rule cong :premises (@p176) :args (@t40)) % 151.00/151.43 (step @p178 :rule trans :premises (@p177 @p174)) % 151.00/151.43 (step @p179 :rule cong :premises (@p178 @p164) :args (@t41)) % 151.00/151.43 (step @p180 :rule refl :args (@t129)) % 151.00/151.43 (step @p181 :rule refl :args (@t42)) % 151.00/151.43 (step @p182 :rule cong :premises (@p181 @p180) :args ((= @t42 @t129))) % 151.00/151.43 (step @p183 :rule symm :premises (@p182)) % 151.00/151.43 (step @p184 :rule eq_resolve :premises (@p181 @p183)) % 151.00/151.43 (step @p185 :rule nary_cong :premises (@p40 @p184) :args (@t177)) % 151.00/151.43 (step @p186 :rule cong :premises (@p185) :args ((forall @t36 @t177))) % 151.00/151.43 (step @p187 :rule bool-impl-elim :args (@t126 @t42)) % 151.00/151.43 (step @p188 :rule cong :premises (@p187) :args ((forall @t36 (=> @t126 @t42)))) % 151.00/151.43 (step @p189 :rule trans :premises (@p188 @p186)) % 151.00/151.43 (step @p190 :rule refl :args (@t42)) % 151.00/151.43 (step @p191 :rule cong :premises (@p161 @p190) :args (@t43)) % 151.00/151.43 (step @p192 :rule cong :premises (@p191) :args (@t44)) % 151.00/151.43 (step @p193 :rule trans :premises (@p192 @p189)) % 151.00/151.43 (step @p194 :rule cong :premises (@p193 @p179) :args (@t45)) % 151.00/151.43 (step @p195 :rule quant-merge-prenex :args ((= (forall @t62 @t179) @t140))) % 151.00/151.43 (step @p196 :rule alpha_equiv :args (@t180 (@list @t105) (@list @t46))) % 151.00/151.43 (step @p197 :rule refl :args (@t136)) % 151.00/151.43 (step @p198 :rule refl :args (@t138)) % 151.00/151.43 (step @p199 :rule nary_cong :premises (@p198 @p197 @p196) :args (@t181)) % 151.00/151.43 (step @p200 :rule quant-miniscope-or :args ((= @t179 @t181))) % 151.00/151.43 (step @p201 :rule trans :premises (@p200 @p199)) % 151.00/151.43 (step @p202 :rule symm :premises (@p201)) % 151.00/151.43 (step @p203 :rule cong :premises (@p202) :args ((forall @t62 (or @t138 @t136 @t182)))) % 151.00/151.43 (step @p204 :rule trans :premises (@p203 @p195)) % 151.00/151.43 (step @p205 :rule refl :args (@t182)) % 151.00/151.43 (step @p206 :rule refl :args (@t137)) % 151.00/151.43 (step @p207 :rule refl :args (@t59)) % 151.00/151.43 (step @p208 :rule cong :premises (@p207 @p206) :args ((= @t59 @t137))) % 151.00/151.43 (step @p209 :rule symm :premises (@p208)) % 151.00/151.43 (step @p210 :rule eq_resolve :premises (@p207 @p209)) % 151.00/151.43 (step @p211 :rule cong :premises (@p210) :args (@t183)) % 151.00/151.43 (step @p212 :rule nary_cong :premises (@p211 @p197 @p205) :args (@t184)) % 151.00/151.43 (step @p213 :rule cong :premises (@p212) :args ((forall @t62 @t184))) % 151.00/151.43 (step @p214 :rule trans :premises (@p213 @p204)) % 151.00/151.43 (step @p215 :rule aci_norm :args ((= (or (or @t183 @t136) @t182) @t184))) % 151.00/151.43 (step @p216 :rule bool-and-de-morgan :args (@t59 @t135 true)) % 151.00/151.43 (step @p217 :rule nary_cong :premises (@p216 @p205) :args ((or (not @t185) @t182))) % 151.00/151.43 (step @p218 :rule trans :premises (@p217 @p215)) % 151.00/151.43 (step @p219 :rule bool-impl-elim :args (@t185 @t182)) % 151.00/151.43 (step @p220 :rule trans :premises (@p219 @p218)) % 151.00/151.43 (step @p221 :rule cong :premises (@p220) :args ((forall @t62 (=> @t185 @t182)))) % 151.00/151.43 (step @p222 :rule trans :premises (@p221 @p214)) % 151.00/151.43 (step @p223 :rule refl :args (@t134)) % 151.00/151.43 (step @p224 :rule refl :args (@t48)) % 151.00/151.43 (step @p225 :rule cong :premises (@p224 @p223) :args ((= @t48 @t134))) % 151.00/151.43 (step @p226 :rule symm :premises (@p225)) % 151.00/151.43 (step @p227 :rule eq_resolve :premises (@p224 @p226)) % 151.00/151.43 (step @p228 :rule cong :premises (@p227) :args (@t50)) % 151.00/151.43 (step @p229 :rule refl :args ((_ @t47 @t53))) % 151.00/151.43 (step @p230 :rule refl :args (@t131)) % 151.00/151.43 (step @p231 :rule cong :premises (@p230) :args (@t132)) % 151.00/151.43 (step @p232 :rule trans :premises (@p231 @p229)) % 151.00/151.43 (step @p233 :rule refl :args (@t47)) % 151.00/151.43 (step @p234 :rule ho_cong :premises (@p233 @p230)) % 151.00/151.43 (step @p235 :rule cong :premises (@p234 @p232) :args ((= (_ @t47 @t131) @t132))) % 151.00/151.43 (step @p236 :rule symm :premises (@p235)) % 151.00/151.43 (step @p237 :rule refl :args (@t54)) % 151.00/151.43 (step @p238 :rule eq_resolve :premises (@p237 @p236)) % 151.00/151.43 (step @p239 :rule refl :args (@t53)) % 151.00/151.43 (step @p240 :rule cong :premises (@p239 @p230) :args ((= @t53 @t131))) % 151.00/151.43 (step @p241 :rule symm :premises (@p240)) % 151.00/151.43 (step @p242 :rule eq_resolve :premises (@p239 @p241)) % 151.00/151.43 (step @p243 :rule ho_cong :premises (@p233 @p242)) % 151.00/151.43 (step @p244 :rule trans :premises (@p243 @p238)) % 151.00/151.43 (step @p245 :rule refl :args (@t133)) % 151.00/151.43 (step @p246 :rule refl :args (@t55)) % 151.00/151.43 (step @p247 :rule cong :premises (@p246 @p245) :args ((= @t55 @t133))) % 151.00/151.43 (step @p248 :rule symm :premises (@p247)) % 151.00/151.43 (step @p249 :rule eq_resolve :premises (@p246 @p248)) % 151.00/151.43 (step @p250 :rule cong :premises (@p249) :args (@t186)) % 151.00/151.43 (step @p251 :rule cong :premises (@p227) :args (@t187)) % 151.00/151.43 (step @p252 :rule nary_cong :premises (@p251 @p250 @p244) :args (@t188)) % 151.00/151.43 (step @p253 :rule cong :premises (@p252) :args ((forall @t57 @t188))) % 151.00/151.43 (step @p254 :rule aci_norm :args ((= (or (or @t187 @t186) @t54) @t188))) % 151.00/151.43 (step @p255 :rule bool-and-de-morgan :args (@t48 @t55 true)) % 151.00/151.43 (step @p256 :rule nary_cong :premises (@p255 @p237) :args ((or (not @t56) @t54))) % 151.00/151.43 (step @p257 :rule trans :premises (@p256 @p254)) % 151.00/151.43 (step @p258 :rule bool-impl-elim :args (@t56 @t54)) % 151.00/151.43 (step @p259 :rule trans :premises (@p258 @p257)) % 151.00/151.43 (step @p260 :rule cong :premises (@p259) :args (@t58)) % 151.00/151.43 (step @p261 :rule trans :premises (@p260 @p253)) % 151.00/151.43 (step @p262 :rule refl :args (@t59)) % 151.00/151.43 (step @p263 :rule nary_cong :premises (@p262 @p261) :args (@t60)) % 151.00/151.43 (step @p264 :rule cong :premises (@p263 @p228) :args (@t61)) % 151.00/151.43 (step @p265 :rule cong :premises (@p264) :args (@t63)) % 151.00/151.43 (step @p266 :rule trans :premises (@p265 @p222)) % 151.00/151.43 (step @p267 :rule refl :args (@t66)) % 151.00/151.43 (step @p268 :rule refl :args (@t141)) % 151.00/151.43 (step @p269 :rule refl :args (@t67)) % 151.00/151.43 (step @p270 :rule cong :premises (@p269 @p268) :args ((= @t67 @t141))) % 151.00/151.43 (step @p271 :rule symm :premises (@p270)) % 151.00/151.43 (step @p272 :rule eq_resolve :premises (@p269 @p271)) % 151.00/151.43 (step @p273 :rule refl :args (@t142)) % 151.00/151.43 (step @p274 :rule refl :args (@t68)) % 151.00/151.43 (step @p275 :rule cong :premises (@p274 @p273) :args ((= @t68 @t142))) % 151.00/151.43 (step @p276 :rule symm :premises (@p275)) % 151.00/151.43 (step @p277 :rule eq_resolve :premises (@p274 @p276)) % 151.00/151.43 (step @p278 :rule cong :premises (@p277 @p272) :args (@t69)) % 151.00/151.43 (step @p279 :rule cong :premises (@p278) :args (@t189)) % 151.00/151.43 (step @p280 :rule nary_cong :premises (@p279 @p267) :args (@t190)) % 151.00/151.43 (step @p281 :rule cong :premises (@p280) :args ((forall @t70 @t190))) % 151.00/151.43 (step @p282 :rule bool-impl-elim :args (@t69 @t66)) % 151.00/151.43 (step @p283 :rule cong :premises (@p282) :args (@t71)) % 151.00/151.43 (step @p284 :rule trans :premises (@p283 @p281)) % 151.00/151.43 (step @p285 :rule refl :args (tptp.cZ)) % 151.00/151.43 (step @p286 :rule cong :premises (@p285 @p242) :args (@t191)) % 151.00/151.43 (step @p287 :rule cong :premises (@p286) :args (@t192)) % 151.00/151.43 (step @p288 :rule cong :premises (@p287) :args ((forall @t57 @t192))) % 151.00/151.43 (step @p289 :rule eq-symm :args (@t53 tptp.cZ)) % 151.00/151.43 (step @p290 :rule cong :premises (@p289) :args (@t72)) % 151.00/151.43 (step @p291 :rule cong :premises (@p290) :args (@t73)) % 151.00/151.43 (step @p292 :rule trans :premises (@p291 @p288)) % 151.00/151.43 (step @p293 :rule nary_cong :premises (@p292 @p284 @p266) :args (@t74)) % 151.00/151.43 (step @p294 :rule cong :premises (@p293 @p194) :args (@t75)) % 151.00/151.43 (step @p295 :rule cong :premises (@p294) :args (@t76)) % 151.00/151.43 (step @p296 :rule trans :premises (@p295 @p14 @p13)) % 151.00/151.43 (step @p297 :rule eq_resolve :premises (@p1 @p296)) % 151.00/151.43 (step @p298 :rule not_implies_elim2 :premises (@p297)) % 151.00/151.43 (step @p299 :rule not_implies_elim2 :premises (@p298)) % 151.00/151.43 (step @p300 :rule not_implies_elim1 :premises (@p299)) % 151.00/151.43 (step @p301 :rule not_implies_elim2 :premises (@p299)) % 151.00/151.43 (step @p302 :rule skolemize :premises (@p301)) % 151.00/151.43 (step @p303 :rule bool-double-not-elim :args (@t194)) % 151.00/151.43 (step @p304 :rule refl :args (@t197)) % 151.00/151.43 (step @p305 :rule nary_cong :premises (@p304 @p303) :args ((or @t197 (not @t196)))) % 151.00/151.43 (step @p306 :rule cnf_or_neg :args (@t197 0)) % 151.00/151.43 (step @p307 :rule eq_resolve :premises (@p306 @p305)) % 151.00/151.43 (step @p308 :rule reordering :premises (@p307) :args ((or @t194 @t197))) % 151.00/151.43 (step @p309 :rule chain_m_resolution :premises (@p308 @p302) :args (@t194 @t198 @t199)) % 151.00/151.43 (step @p310 :rule refl :args (@t195)) % 151.00/151.43 (step @p311 :rule aci_norm :args ((= (or false false false @t203 @t201) @t204))) % 151.00/151.43 (step @p312 :rule refl :args (@t201)) % 151.00/151.43 (step @p313 :rule refl :args (@t203)) % 151.00/151.43 (step @p314 :rule evaluate :args ((not true))) % 151.00/151.43 (step @p315 :rule eq-refl :args (@t80)) % 151.00/151.43 (step @p316 :rule cong :premises (@p315) :args (@t205)) % 151.00/151.43 (step @p317 :rule trans :premises (@p316 @p314)) % 151.00/151.43 (step @p318 :rule eq-refl :args (@t81)) % 151.00/151.43 (step @p319 :rule cong :premises (@p318) :args (@t206)) % 151.00/151.43 (step @p320 :rule trans :premises (@p319 @p314)) % 151.00/151.43 (step @p321 :rule nary_cong :premises (@p320 @p317 @p317 @p313 @p312) :args (@t207)) % 151.00/151.43 (step @p322 :rule trans :premises (@p321 @p311)) % 151.00/151.43 (step @p323 :rule eq-symm :args (@t81 @t80)) % 151.00/151.43 (step @p324 :rule cong :premises (@p323) :args (@t208)) % 151.00/151.43 (step @p325 :rule refl :args (@t209)) % 151.00/151.43 (step @p326 :rule nary_cong :premises (@p325 @p324) :args (@t210)) % 151.00/151.43 (step @p327 :rule aci_norm :args ((= (or @t211 false) @t211))) % 151.00/151.43 (step @p328 :rule refl :args (@t211)) % 151.00/151.43 (step @p329 :rule nary_cong :premises (@p328 @p317) :args (@t212)) % 151.00/151.43 (step @p330 :rule trans :premises (@p329 @p327)) % 151.00/151.43 (step @p331 :rule nary_cong :premises (@p330 @p326 @p322) :args (@t213)) % 151.00/151.43 (step @p332 :rule nary_cong :premises (@p331 @p310) :args (@t214)) % 151.00/151.43 (step @p333 :rule refl :args (@t194)) % 151.00/151.43 (step @p334 :rule cong :premises (@p333 @p332) :args ((=> @t194 @t214))) % 151.00/151.43 (assume-push @p367 @t194) % 151.00/151.43 (step @p336 :rule instantiate :premises (@p309) :args ((@list @t81 @t80 @t80 tptp.x tptp.y tptp.u tptp.v tptp.u tptp.v))) % 151.00/151.43 (step-pop @p368 :rule scope :premises (@p336)) % 151.00/151.43 (step @p337 :rule process_scope :premises (@p368) :args (@t214)) % 151.00/151.43 (step @p339 :rule eq_resolve :premises (@p337 @p334)) % 151.00/151.43 (step @p340 :rule implies_elim :premises (@p339)) % 151.00/151.43 (step @p341 :rule chain_m_resolution :premises (@p340 @p309) :args (@t216 @t217 (@list @t194))) % 151.00/151.43 (step @p342 :rule cnf_or_neg :args (@t197 1)) % 151.00/151.43 (step @p343 :rule chain_m_resolution :premises (@p342 @p302) :args ((not @t195) @t198 @t199)) % 151.00/151.43 (step @p344 :rule cnf_or_pos :args (@t216)) % 151.00/151.43 (step @p345 :rule reordering :premises (@p344) :args ((or @t195 @t215 (not @t216)))) % 151.00/151.43 (step @p346 :rule chain_m_resolution :premises (@p345 @p343 @p341) :args (@t215 @t218 (@list @t195 @t216))) % 151.00/151.43 (step @p347 :rule cnf_and_pos :args (@t215 2)) % 151.00/151.43 (step @p348 :rule reordering :premises (@p347) :args ((or @t204 (not @t215)))) % 151.00/151.43 (step @p349 :rule chain_m_resolution :premises (@p348 @p346) :args (@t204 @t217 (@list @t215))) % 151.00/151.43 (step @p350 :rule not_implies_elim1 :premises (@p298)) % 151.00/151.43 (step @p351 :rule instantiate :premises (@p350) :args (@t219)) % 151.00/151.43 (step @p352 :rule cnf_or_pos :args (@t220)) % 151.00/151.43 (step @p353 :rule reordering :premises (@p352) :args ((or @t196 @t202 (not @t220)))) % 151.00/151.43 (step @p354 :rule chain_m_resolution :premises (@p353 @p309 @p351) :args (@t202 @t221 (@list @t194 @t220))) % 151.00/151.43 (step @p355 :rule cnf_or_pos :args (@t204)) % 151.00/151.43 (step @p356 :rule reordering :premises (@p355) :args ((or @t203 @t201 (not @t204)))) % 151.00/151.43 (step @p357 :rule chain_m_resolution :premises (@p356 @p354 @p349) :args (@t201 @t221 (@list @t202 @t204))) % 151.00/151.43 (step @p358 :rule cnf_or_pos :args (@t222)) % 151.00/151.43 (step @p359 :rule reordering :premises (@p358) :args ((or @t196 @t200 @t223))) % 151.00/151.43 (step @p360 :rule chain_m_resolution :premises (@p359 @p309 @p357) :args (@t223 (@list false true) (@list @t194 @t200))) % 151.00/151.43 (assume-push @p369 @t103) % 151.00/151.43 (step @p362 :rule instantiate :premises (@p300) :args (@t219)) % 151.00/151.43 (step-pop @p370 :rule scope :premises (@p362)) % 151.00/151.43 (step @p363 :rule process_scope :premises (@p370) :args (@t222)) % 151.00/151.43 (step @p365 :rule implies_elim :premises (@p363)) % 151.00/151.43 (step @p366 false :rule chain_m_resolution :premises (@p365 @p360 @p300) :args (false @t218 (@list @t222 @t103))) % 151.00/151.43 ) % 151.00/151.43 % SZS output end Proof % 151.00/151.43 % cvc5 exiting %------------------------------------------------------------------------------