%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP018^2 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:24:41 AM UTC 2026 % Result : Theorem 0.43s 0.63s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP018^2 : TPTP v9.2.1. Bugfixed v7.5.0. % 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 : n006.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 03:58:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TH0 % 0.43/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.43/0.63 % SZS status Theorem % 0.43/0.63 % SZS output start Proof % 0.43/0.63 ( % 0.43/0.63 (declare-sort tptp.del 0) % 0.43/0.63 (declare-sort $$unsorted 0) % 0.43/0.63 (declare-sort tptp.tp__ty_2Erealax_2Ereal 0) % 0.43/0.63 (declare-const tptp.c_2Ebool_2E_21 (-> tptp.del $$unsorted)) % 0.43/0.63 (declare-const tptp.c_2Ebool_2ET $$unsorted) % 0.43/0.63 (declare-const tptp.c_2Ebinary__ieee_2Eulp (-> tptp.del tptp.del $$unsorted)) % 0.43/0.63 (declare-const tptp.c_2Ebool_2Ethe__value (-> tptp.del $$unsorted)) % 0.43/0.63 (declare-const tptp.c_2Ebinary__ieee_2Efloat__plus__min (-> tptp.del tptp.del $$unsorted)) % 0.43/0.63 (declare-const tptp.ty_2Ebool_2Eitself (-> tptp.del tptp.del)) % 0.43/0.63 (declare-const tptp.ty_2Epair_2Eprod (-> tptp.del tptp.del tptp.del)) % 0.43/0.63 (declare-const tptp.c_2Ebinary__ieee_2Efloat__to__real (-> tptp.del tptp.del $$unsorted)) % 0.43/0.63 (declare-const tptp.ty_2Ebinary__ieee_2Efloat (-> tptp.del tptp.del tptp.del)) % 0.43/0.63 (declare-const tptp.p (-> $$unsorted Bool)) % 0.43/0.63 (declare-const tptp.bool tptp.del) % 0.43/0.63 (declare-const tptp.mem (-> $$unsorted tptp.del Bool)) % 0.43/0.63 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.63 (declare-const tptp.c_2Ebinary__ieee_2Efloat__negate (-> tptp.del tptp.del $$unsorted)) % 0.43/0.63 (declare-const tptp.arr (-> tptp.del tptp.del tptp.del)) % 0.43/0.63 (declare-const tptp.ty_2Erealax_2Ereal tptp.del) % 0.43/0.63 (declare-const tptp.lam (-> tptp.del (-> $$unsorted $$unsorted) $$unsorted)) % 0.43/0.63 (declare-const tptp.inj__ty_2Erealax_2Ereal (-> tptp.tp__ty_2Erealax_2Ereal $$unsorted)) % 0.43/0.63 (declare-const tptp.c_2Emin_2E_3D (-> tptp.del $$unsorted)) % 0.43/0.63 (declare-const tptp.surj__ty_2Erealax_2Ereal (-> $$unsorted tptp.tp__ty_2Erealax_2Ereal)) % 0.43/0.63 (declare-const tptp.inj__o (-> Bool $$unsorted)) % 0.43/0.63 (declare-const tptp.c_2Erealax_2Ereal__neg $$unsorted) % 0.43/0.63 (declare-const tptp.fo__c_2Erealax_2Ereal__neg (-> tptp.tp__ty_2Erealax_2Ereal tptp.tp__ty_2Erealax_2Ereal)) % 0.43/0.63 (define @t1 () (@var "X" Bool)) % 0.43/0.63 (define @t2 () (_ tptp.inj__o @t1)) % 0.43/0.63 (define @t3 () (@list @t1)) % 0.43/0.63 (define @t4 () (@var "X" $$unsorted)) % 0.43/0.63 (define @t5 () (_ tptp.mem @t4)) % 0.43/0.63 (define @t6 () (@list @t4)) % 0.43/0.63 (define @t7 () (@var "B" tptp.del)) % 0.43/0.63 (define @t8 () (@var "F" $$unsorted)) % 0.43/0.63 (define @t9 () (_ (_ tptp.ap @t8) @t4)) % 0.43/0.63 (define @t10 () (_ (_ tptp.mem @t9) @t7)) % 0.43/0.63 (define @t11 () (@var "A" tptp.del)) % 0.43/0.63 (define @t12 () (_ @t5 @t11)) % 0.43/0.63 (define @t13 () (forall @t6 (=> @t12 @t10))) % 0.43/0.63 (define @t14 () (_ tptp.arr @t11)) % 0.43/0.63 (define @t15 () (_ @t14 @t7)) % 0.43/0.63 (define @t16 () (_ tptp.mem @t8)) % 0.43/0.63 (define @t17 () (_ @t16 @t15)) % 0.43/0.63 (define @t18 () (=> @t17 @t13)) % 0.43/0.63 (define @t19 () (@list @t11 @t7 @t8)) % 0.43/0.63 (define @t20 () (forall @t19 @t18)) % 0.43/0.63 (define @t21 () (@var "F" (-> $$unsorted $$unsorted))) % 0.43/0.63 (define @t22 () (_ (_ tptp.lam @t11) @t21)) % 0.43/0.63 (define @t23 () (_ @t21 @t4)) % 0.43/0.63 (define @t24 () (@var "G" $$unsorted)) % 0.43/0.63 (define @t25 () (@var "X" tptp.tp__ty_2Erealax_2Ereal)) % 0.43/0.63 (define @t26 () (_ tptp.inj__ty_2Erealax_2Ereal @t25)) % 0.43/0.63 (define @t27 () (@list @t25)) % 0.43/0.63 (define @t28 () (_ tptp.surj__ty_2Erealax_2Ereal @t4)) % 0.43/0.63 (define @t29 () (_ tptp.inj__ty_2Erealax_2Ereal @t28)) % 0.43/0.63 (define @t30 () (= @t4 @t29)) % 0.43/0.63 (define @t31 () (_ @t5 tptp.ty_2Erealax_2Ereal)) % 0.43/0.63 (define @t32 () (forall @t6 (=> @t31 @t30))) % 0.43/0.63 (define @t33 () (@var "X0" tptp.tp__ty_2Erealax_2Ereal)) % 0.43/0.63 (define @t34 () (_ tptp.ap tptp.c_2Erealax_2Ereal__neg)) % 0.43/0.63 (define @t35 () (@var "A_27w" tptp.del)) % 0.43/0.63 (define @t36 () (@var "A_27t" tptp.del)) % 0.43/0.63 (define @t37 () (_ (_ tptp.ty_2Ebinary__ieee_2Efloat @t36) @t35)) % 0.43/0.63 (define @t38 () (_ tptp.arr @t37)) % 0.43/0.63 (define @t39 () (_ (_ tptp.c_2Ebinary__ieee_2Efloat__negate @t36) @t35)) % 0.43/0.63 (define @t40 () (@list @t36 @t35)) % 0.43/0.63 (define @t41 () (_ (_ tptp.ty_2Epair_2Eprod @t36) @t35)) % 0.43/0.63 (define @t42 () (_ tptp.ty_2Ebool_2Eitself @t41)) % 0.43/0.63 (define @t43 () (_ tptp.arr @t42)) % 0.43/0.63 (define @t44 () (_ @t43 @t37)) % 0.43/0.63 (define @t45 () (_ (_ tptp.c_2Ebinary__ieee_2Efloat__plus__min @t36) @t35)) % 0.43/0.63 (define @t46 () (_ (_ tptp.mem @t45) @t44)) % 0.43/0.63 (define @t47 () (forall @t40 @t46)) % 0.43/0.63 (define @t48 () (_ @t38 tptp.ty_2Erealax_2Ereal)) % 0.43/0.63 (define @t49 () (_ (_ tptp.c_2Ebinary__ieee_2Efloat__to__real @t36) @t35)) % 0.43/0.63 (define @t50 () (_ (_ tptp.mem @t49) @t48)) % 0.43/0.63 (define @t51 () (forall @t40 @t50)) % 0.43/0.63 (define @t52 () (@var "A_27a" tptp.del)) % 0.43/0.63 (define @t53 () (_ tptp.ty_2Ebool_2Eitself @t52)) % 0.43/0.63 (define @t54 () (_ tptp.c_2Ebool_2Ethe__value @t52)) % 0.43/0.63 (define @t55 () (_ (_ tptp.mem @t54) @t53)) % 0.43/0.63 (define @t56 () (@list @t52)) % 0.43/0.63 (define @t57 () (forall @t56 @t55)) % 0.43/0.63 (define @t58 () (_ @t43 tptp.ty_2Erealax_2Ereal)) % 0.43/0.63 (define @t59 () (_ (_ tptp.c_2Ebinary__ieee_2Eulp @t36) @t35)) % 0.43/0.63 (define @t60 () (_ (_ tptp.mem @t59) @t58)) % 0.43/0.63 (define @t61 () (forall @t40 @t60)) % 0.43/0.63 (define @t62 () (_ tptp.arr @t52)) % 0.43/0.63 (define @t63 () (_ @t62 tptp.bool)) % 0.43/0.63 (define @t64 () (@var "Y" $$unsorted)) % 0.43/0.63 (define @t65 () (@var "Q" $$unsorted)) % 0.43/0.63 (define @t66 () (@var "V0x" $$unsorted)) % 0.43/0.63 (define @t67 () (@var "A_27b" tptp.del)) % 0.43/0.63 (define @t68 () (_ (_ tptp.c_2Ebinary__ieee_2Efloat__to__real @t52) @t67)) % 0.43/0.63 (define @t69 () (_ tptp.ap @t68)) % 0.43/0.63 (define @t70 () (_ @t69 @t66)) % 0.43/0.63 (define @t71 () (_ @t34 @t70)) % 0.43/0.63 (define @t72 () (_ tptp.surj__ty_2Erealax_2Ereal @t71)) % 0.43/0.63 (define @t73 () (_ (_ tptp.c_2Ebinary__ieee_2Efloat__negate @t52) @t67)) % 0.43/0.63 (define @t74 () (_ (_ tptp.ap @t73) @t66)) % 0.43/0.63 (define @t75 () (_ @t69 @t74)) % 0.43/0.63 (define @t76 () (_ tptp.surj__ty_2Erealax_2Ereal @t75)) % 0.43/0.63 (define @t77 () (= @t76 @t72)) % 0.43/0.63 (define @t78 () (_ (_ tptp.ty_2Ebinary__ieee_2Efloat @t52) @t67)) % 0.43/0.63 (define @t79 () (_ tptp.mem @t66)) % 0.43/0.63 (define @t80 () (_ @t79 @t78)) % 0.43/0.63 (define @t81 () (@list @t52 @t67 @t66)) % 0.43/0.63 (define @t82 () (forall @t81 (=> @t80 @t77))) % 0.43/0.63 (define @t83 () (_ tptp.c_2Ebool_2Ethe__value @t41)) % 0.43/0.63 (define @t84 () (_ (_ tptp.ap @t45) @t83)) % 0.43/0.63 (define @t85 () (_ tptp.ap @t49)) % 0.43/0.63 (define @t86 () (_ @t85 @t84)) % 0.43/0.63 (define @t87 () (_ tptp.surj__ty_2Erealax_2Ereal @t86)) % 0.43/0.63 (define @t88 () (_ (_ tptp.ap @t59) @t83)) % 0.43/0.63 (define @t89 () (_ tptp.surj__ty_2Erealax_2Ereal @t88)) % 0.43/0.63 (define @t90 () (= @t89 @t87)) % 0.43/0.63 (define @t91 () (forall @t40 @t90)) % 0.43/0.63 (define @t92 () (_ (_ tptp.ap @t39) @t84)) % 0.43/0.63 (define @t93 () (_ @t85 @t92)) % 0.43/0.63 (define @t94 () (_ tptp.surj__ty_2Erealax_2Ereal @t93)) % 0.43/0.63 (define @t95 () (_ @t34 @t88)) % 0.43/0.63 (define @t96 () (_ tptp.surj__ty_2Erealax_2Ereal @t95)) % 0.43/0.63 (define @t97 () (= @t96 @t94)) % 0.43/0.63 (define @t98 () (forall @t40 @t97)) % 0.43/0.63 (define @t99 () (not @t98)) % 0.43/0.63 (define @t100 () (tptp.ty_2Epair_2Eprod @t36 @t35)) % 0.43/0.63 (define @t101 () (tptp.c_2Ebool_2Ethe__value @t100)) % 0.43/0.63 (define @t102 () (tptp.c_2Ebinary__ieee_2Efloat__plus__min @t36 @t35)) % 0.43/0.63 (define @t103 () (tptp.ap @t102 @t101)) % 0.43/0.63 (define @t104 () (tptp.c_2Ebinary__ieee_2Efloat__negate @t36 @t35)) % 0.43/0.63 (define @t105 () (tptp.ap @t104 @t103)) % 0.43/0.63 (define @t106 () (tptp.c_2Ebinary__ieee_2Efloat__to__real @t36 @t35)) % 0.43/0.63 (define @t107 () (tptp.ap @t106 @t105)) % 0.43/0.63 (define @t108 () (tptp.surj__ty_2Erealax_2Ereal @t107)) % 0.43/0.63 (define @t109 () (_ tptp.ap @t106)) % 0.43/0.63 (define @t110 () (tptp.c_2Ebinary__ieee_2Eulp @t36 @t35)) % 0.43/0.63 (define @t111 () (tptp.ap @t110 @t101)) % 0.43/0.63 (define @t112 () (tptp.ap tptp.c_2Erealax_2Ereal__neg @t111)) % 0.43/0.63 (define @t113 () (tptp.surj__ty_2Erealax_2Ereal @t112)) % 0.43/0.63 (define @t114 () (tptp.ap @t106 @t103)) % 0.43/0.63 (define @t115 () (tptp.surj__ty_2Erealax_2Ereal @t114)) % 0.43/0.63 (define @t116 () (tptp.surj__ty_2Erealax_2Ereal @t111)) % 0.43/0.63 (define @t117 () (forall @t40 (= @t113 @t108))) % 0.43/0.63 (define @t118 () (@quantifiers_skolemize @t117 1)) % 0.43/0.63 (define @t119 () (@quantifiers_skolemize @t117 0)) % 0.43/0.63 (define @t120 () (@list @t119 @t118)) % 0.43/0.63 (define @t121 () (tptp.c_2Ebinary__ieee_2Efloat__to__real @t52 @t67)) % 0.43/0.63 (define @t122 () (tptp.ap @t121 @t66)) % 0.43/0.63 (define @t123 () (tptp.ap tptp.c_2Erealax_2Ereal__neg @t122)) % 0.43/0.63 (define @t124 () (tptp.surj__ty_2Erealax_2Ereal @t123)) % 0.43/0.63 (define @t125 () (_ tptp.ap @t121)) % 0.43/0.63 (define @t126 () (tptp.c_2Ebinary__ieee_2Efloat__negate @t52 @t67)) % 0.43/0.63 (define @t127 () (tptp.ap @t126 @t66)) % 0.43/0.63 (define @t128 () (tptp.ap @t121 @t127)) % 0.43/0.63 (define @t129 () (tptp.surj__ty_2Erealax_2Ereal @t128)) % 0.43/0.63 (define @t130 () (tptp.ty_2Ebinary__ieee_2Efloat @t52 @t67)) % 0.43/0.63 (define @t131 () (tptp.mem @t66 @t130)) % 0.43/0.63 (define @t132 () (not @t80)) % 0.43/0.63 (define @t133 () (or @t132 @t77)) % 0.43/0.63 (define @t134 () (tptp.ty_2Epair_2Eprod @t119 @t118)) % 0.43/0.63 (define @t135 () (tptp.c_2Ebool_2Ethe__value @t134)) % 0.43/0.63 (define @t136 () (tptp.c_2Ebinary__ieee_2Efloat__plus__min @t119 @t118)) % 0.43/0.63 (define @t137 () (tptp.ap @t136 @t135)) % 0.43/0.63 (define @t138 () (@var "BOUND_VARIABLE_7730" $$unsorted)) % 0.43/0.63 (define @t139 () (tptp.mem (tptp.ap @t8 @t138) @t7)) % 0.43/0.63 (define @t140 () (not (tptp.mem @t138 @t11))) % 0.43/0.63 (define @t141 () (tptp.arr @t11 @t7)) % 0.43/0.63 (define @t142 () (tptp.mem @t8 @t141)) % 0.43/0.63 (define @t143 () (not @t142)) % 0.43/0.63 (define @t144 () (or @t140 @t139)) % 0.43/0.63 (define @t145 () (or @t143 @t144)) % 0.43/0.63 (define @t146 () (forall (@list @t11 @t7 @t8 @t138) @t145)) % 0.43/0.63 (define @t147 () (@list @t138)) % 0.43/0.63 (define @t148 () (forall @t147 @t145)) % 0.43/0.63 (define @t149 () (forall @t147 @t144)) % 0.43/0.63 (define @t150 () (or @t143 @t149)) % 0.43/0.63 (define @t151 () (tptp.ap @t8 @t4)) % 0.43/0.63 (define @t152 () (tptp.mem @t151 @t7)) % 0.43/0.63 (define @t153 () (tptp.mem @t4 @t11)) % 0.43/0.63 (define @t154 () (forall @t6 (or (not @t153) @t152))) % 0.43/0.63 (define @t155 () (not @t17)) % 0.43/0.63 (define @t156 () (or @t155 @t154)) % 0.43/0.63 (define @t157 () (not @t12)) % 0.43/0.63 (define @t158 () (or @t157 @t10)) % 0.43/0.63 (define @t159 () (tptp.ty_2Ebinary__ieee_2Efloat @t119 @t118)) % 0.43/0.63 (define @t160 () (tptp.ty_2Ebool_2Eitself @t134)) % 0.43/0.63 (define @t161 () (tptp.ty_2Ebool_2Eitself @t52)) % 0.43/0.63 (define @t162 () (tptp.c_2Ebool_2Ethe__value @t52)) % 0.43/0.63 (define @t163 () (tptp.mem @t162 @t161)) % 0.43/0.63 (define @t164 () (tptp.ty_2Ebinary__ieee_2Efloat @t36 @t35)) % 0.43/0.63 (define @t165 () (tptp.ty_2Ebool_2Eitself @t100)) % 0.43/0.63 (define @t166 () (tptp.arr @t165 @t164)) % 0.43/0.63 (define @t167 () (tptp.mem @t102 @t166)) % 0.43/0.63 (define @t168 () (_ tptp.arr @t165)) % 0.43/0.63 (define @t169 () (tptp.mem @t137 @t159)) % 0.43/0.63 (define @t170 () (tptp.mem @t135 @t160)) % 0.43/0.63 (define @t171 () (not @t170)) % 0.43/0.63 (define @t172 () (tptp.mem @t136 (tptp.arr @t160 @t159))) % 0.43/0.63 (define @t173 () (not @t172)) % 0.43/0.63 (define @t174 () (or @t173 @t171 @t169)) % 0.43/0.63 (define @t175 () (@list false false false)) % 0.43/0.63 (define @t176 () (tptp.c_2Ebinary__ieee_2Efloat__to__real @t119 @t118)) % 0.43/0.63 (define @t177 () (tptp.ap @t176 @t137)) % 0.43/0.63 (define @t178 () (tptp.surj__ty_2Erealax_2Ereal (tptp.ap @t176 (tptp.ap (tptp.c_2Ebinary__ieee_2Efloat__negate @t119 @t118) @t137)))) % 0.43/0.63 (define @t179 () (= @t178 (tptp.surj__ty_2Erealax_2Ereal (tptp.ap tptp.c_2Erealax_2Ereal__neg @t177)))) % 0.43/0.63 (define @t180 () (not @t169)) % 0.43/0.63 (define @t181 () (or @t180 @t179)) % 0.43/0.63 (define @t182 () (@list false false)) % 0.43/0.63 (define @t183 () (tptp.surj__ty_2Erealax_2Ereal @t4)) % 0.43/0.63 (define @t184 () (tptp.inj__ty_2Erealax_2Ereal @t183)) % 0.43/0.63 (define @t185 () (tptp.mem @t4 tptp.ty_2Erealax_2Ereal)) % 0.43/0.63 (define @t186 () (not @t31)) % 0.43/0.63 (define @t187 () (or @t186 @t30)) % 0.43/0.63 (define @t188 () (tptp.c_2Ebinary__ieee_2Eulp @t119 @t118)) % 0.43/0.63 (define @t189 () (tptp.ap @t188 @t135)) % 0.43/0.63 (define @t190 () (tptp.arr @t165 tptp.ty_2Erealax_2Ereal)) % 0.43/0.63 (define @t191 () (tptp.mem @t110 @t190)) % 0.43/0.63 (define @t192 () (tptp.mem @t189 tptp.ty_2Erealax_2Ereal)) % 0.43/0.63 (define @t193 () (tptp.mem @t188 (tptp.arr @t160 tptp.ty_2Erealax_2Ereal))) % 0.43/0.63 (define @t194 () (not @t193)) % 0.43/0.63 (define @t195 () (or @t194 @t171 @t192)) % 0.43/0.63 (define @t196 () (tptp.surj__ty_2Erealax_2Ereal @t189)) % 0.43/0.63 (define @t197 () (tptp.inj__ty_2Erealax_2Ereal @t196)) % 0.43/0.63 (define @t198 () (= @t189 @t197)) % 0.43/0.63 (define @t199 () (not @t192)) % 0.43/0.63 (define @t200 () (or @t199 @t198)) % 0.43/0.63 (define @t201 () (tptp.arr @t164 tptp.ty_2Erealax_2Ereal)) % 0.43/0.63 (define @t202 () (tptp.mem @t106 @t201)) % 0.43/0.63 (define @t203 () (tptp.mem @t177 tptp.ty_2Erealax_2Ereal)) % 0.43/0.63 (define @t204 () (tptp.mem @t176 (tptp.arr @t159 tptp.ty_2Erealax_2Ereal))) % 0.43/0.63 (define @t205 () (not @t204)) % 0.43/0.63 (define @t206 () (or @t205 @t180 @t203)) % 0.43/0.63 (define @t207 () (tptp.surj__ty_2Erealax_2Ereal @t177)) % 0.43/0.63 (define @t208 () (= @t177 (tptp.inj__ty_2Erealax_2Ereal @t207))) % 0.43/0.63 (define @t209 () (not @t203)) % 0.43/0.63 (define @t210 () (or @t209 @t208)) % 0.43/0.63 (define @t211 () (= @t196 @t207)) % 0.43/0.63 (define @t212 () (tptp.ap tptp.c_2Erealax_2Ereal__neg @t189)) % 0.43/0.63 (define @t213 () (tptp.surj__ty_2Erealax_2Ereal @t212)) % 0.43/0.63 (define @t214 () (= @t213 @t178)) % 0.43/0.63 (define @t215 () (and @t179 @t211 @t198 @t208)) % 0.43/0.63 (assume @p1 (forall @t3 (= (_ tptp.p @t2) @t1))) % 0.43/0.63 (assume @p2 (forall @t3 (_ (_ tptp.mem @t2) tptp.bool))) % 0.43/0.63 (assume @p3 (forall @t6 (=> (_ @t5 tptp.bool) (= @t4 (_ tptp.inj__o (_ tptp.p @t4)))))) % 0.43/0.63 (assume @p4 @t20) % 0.43/0.63 (assume @p5 (forall (@list @t11 @t7 @t21) (=> (forall @t6 (=> @t12 (_ (_ tptp.mem @t23) @t7))) (_ (_ tptp.mem @t22) @t15)))) % 0.43/0.63 (assume @p6 (forall @t19 (=> @t17 (forall (@list @t24) (=> (_ (_ tptp.mem @t24) @t15) (=> (forall @t6 (=> @t12 (= @t9 (_ (_ tptp.ap @t24) @t4)))) (= @t8 @t24))))))) % 0.43/0.63 (assume @p7 (forall (@list @t11 @t21 @t4) (=> @t12 (= (_ (_ tptp.ap @t22) @t4) @t23)))) % 0.43/0.63 (assume @p8 (forall @t27 (= (_ tptp.surj__ty_2Erealax_2Ereal @t26) @t25))) % 0.43/0.63 (assume @p9 (forall @t27 (_ (_ tptp.mem @t26) tptp.ty_2Erealax_2Ereal))) % 0.43/0.63 (assume @p10 @t32) % 0.43/0.63 (assume @p11 (_ (_ tptp.mem tptp.c_2Erealax_2Ereal__neg) (_ (_ tptp.arr tptp.ty_2Erealax_2Ereal) tptp.ty_2Erealax_2Ereal))) % 0.43/0.63 (assume @p12 (forall (@list @t33) (= (_ tptp.inj__ty_2Erealax_2Ereal (_ tptp.fo__c_2Erealax_2Ereal__neg @t33)) (_ @t34 (_ tptp.inj__ty_2Erealax_2Ereal @t33))))) % 0.43/0.63 (assume @p13 (forall @t40 (_ (_ tptp.mem @t39) (_ @t38 @t37)))) % 0.43/0.63 (assume @p14 @t47) % 0.43/0.63 (assume @p15 @t51) % 0.43/0.63 (assume @p16 @t57) % 0.43/0.63 (assume @p17 @t61) % 0.43/0.63 (assume @p18 (_ (_ tptp.mem tptp.c_2Ebool_2ET) tptp.bool)) % 0.43/0.63 (assume @p19 (_ tptp.p tptp.c_2Ebool_2ET)) % 0.43/0.63 (assume @p20 (forall @t56 (_ (_ tptp.mem (_ tptp.c_2Emin_2E_3D @t52)) (_ @t62 @t63)))) % 0.43/0.63 (assume @p21 (forall (@list @t11 @t4) (=> @t12 (forall (@list @t64) (=> (_ (_ tptp.mem @t64) @t11) (= (_ tptp.p (_ (_ tptp.ap (_ (_ tptp.ap (_ tptp.c_2Emin_2E_3D @t11)) @t4)) @t64)) (= @t4 @t64))))))) % 0.43/0.63 (assume @p22 (forall @t56 (_ (_ tptp.mem (_ tptp.c_2Ebool_2E_21 @t52)) (_ (_ tptp.arr @t63) tptp.bool)))) % 0.43/0.63 (assume @p23 (forall (@list @t11 @t65) (=> (_ (_ tptp.mem @t65) (_ @t14 tptp.bool)) (= (_ tptp.p (_ (_ tptp.ap (_ tptp.c_2Ebool_2E_21 @t11)) @t65)) (forall @t6 (=> @t12 (_ tptp.p (_ (_ tptp.ap @t65) @t4)))))))) % 0.43/0.63 (assume @p24 @t82) % 0.43/0.63 (assume @p25 @t91) % 0.43/0.63 (assume @p26 true) % 0.43/0.63 (assume @p27 (forall (@list @t52 @t66) (=> (_ @t79 @t52) (= (= @t66 @t66) true)))) % 0.43/0.63 (assume @p28 @t99) % 0.43/0.63 (step @p29 :rule refl :args ((tptp.surj__ty_2Erealax_2Ereal @t93))) % 0.43/0.63 (step @p30 :rule refl :args ((tptp.ap @t49 @t92))) % 0.43/0.63 (step @p31 :rule refl :args ((tptp.ap @t39 @t84))) % 0.43/0.63 (step @p32 :rule refl :args ((tptp.ap @t45 @t83))) % 0.43/0.63 (step @p33 :rule refl :args ((tptp.c_2Ebool_2Ethe__value @t41))) % 0.43/0.63 (step @p34 :rule refl :args (@t100)) % 0.43/0.63 (step @p35 :rule cong :premises (@p34) :args (@t101)) % 0.43/0.63 (step @p36 :rule trans :premises (@p35 @p33)) % 0.43/0.63 (step @p37 :rule refl :args (@t102)) % 0.43/0.63 (step @p38 :rule cong :premises (@p37 @p36) :args (@t103)) % 0.43/0.63 (step @p39 :rule trans :premises (@p38 @p32)) % 0.43/0.63 (step @p40 :rule refl :args (@t104)) % 0.43/0.63 (step @p41 :rule cong :premises (@p40 @p39) :args (@t105)) % 0.43/0.63 (step @p42 :rule trans :premises (@p41 @p31)) % 0.43/0.63 (step @p43 :rule refl :args (@t106)) % 0.43/0.63 (step @p44 :rule cong :premises (@p43 @p42) :args (@t107)) % 0.43/0.63 (step @p45 :rule trans :premises (@p44 @p30)) % 0.43/0.63 (step @p46 :rule cong :premises (@p45) :args (@t108)) % 0.43/0.63 (step @p47 :rule trans :premises (@p46 @p29)) % 0.43/0.63 (step @p48 :rule refl :args (tptp.surj__ty_2Erealax_2Ereal)) % 0.43/0.63 (step @p49 :rule ho_cong :premises (@p48 @p45)) % 0.43/0.63 (step @p50 :rule cong :premises (@p49 @p47) :args ((= (_ tptp.surj__ty_2Erealax_2Ereal @t107) @t108))) % 0.43/0.63 (step @p51 :rule symm :premises (@p50)) % 0.43/0.63 (step @p52 :rule refl :args (@t94)) % 0.43/0.63 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 0.43/0.63 (step @p54 :rule refl :args (tptp.ap)) % 0.43/0.63 (step @p55 :rule ho_cong :premises (@p54 @p43)) % 0.43/0.63 (step @p56 :rule ho_cong :premises (@p55 @p42)) % 0.43/0.63 (step @p57 :rule cong :premises (@p56 @p45) :args ((= (_ @t109 @t105) @t107))) % 0.43/0.63 (step @p58 :rule symm :premises (@p57)) % 0.43/0.63 (step @p59 :rule refl :args (@t93)) % 0.43/0.63 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 0.43/0.63 (step @p61 :rule ho_cong :premises (@p54 @p40)) % 0.43/0.63 (step @p62 :rule ho_cong :premises (@p61 @p39)) % 0.43/0.63 (step @p63 :rule cong :premises (@p62 @p42) :args ((= (_ (_ tptp.ap @t104) @t103) @t105))) % 0.43/0.63 (step @p64 :rule symm :premises (@p63)) % 0.43/0.63 (step @p65 :rule refl :args (@t92)) % 0.43/0.63 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 0.43/0.63 (step @p67 :rule ho_cong :premises (@p54 @p37)) % 0.43/0.63 (step @p68 :rule ho_cong :premises (@p67 @p36)) % 0.43/0.63 (step @p69 :rule cong :premises (@p68 @p39) :args ((= (_ (_ tptp.ap @t102) @t101) @t103))) % 0.43/0.63 (step @p70 :rule symm :premises (@p69)) % 0.43/0.63 (step @p71 :rule refl :args (@t84)) % 0.43/0.63 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.43/0.63 (step @p73 :rule refl :args (tptp.c_2Ebool_2Ethe__value)) % 0.43/0.63 (step @p74 :rule ho_cong :premises (@p73 @p34)) % 0.43/0.63 (step @p75 :rule cong :premises (@p74 @p36) :args ((= (_ tptp.c_2Ebool_2Ethe__value @t100) @t101))) % 0.43/0.63 (step @p76 :rule symm :premises (@p75)) % 0.43/0.63 (step @p77 :rule refl :args (@t83)) % 0.43/0.63 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.43/0.63 (step @p79 :rule refl :args (@t41)) % 0.43/0.63 (step @p80 :rule cong :premises (@p79 @p34) :args ((= @t41 @t100))) % 0.43/0.63 (step @p81 :rule symm :premises (@p80)) % 0.43/0.63 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.43/0.63 (step @p83 :rule ho_cong :premises (@p73 @p82)) % 0.43/0.63 (step @p84 :rule trans :premises (@p83 @p78)) % 0.43/0.63 (step @p85 :rule refl :args (@t45)) % 0.43/0.63 (step @p86 :rule cong :premises (@p85 @p37) :args ((= @t45 @t102))) % 0.43/0.63 (step @p87 :rule symm :premises (@p86)) % 0.43/0.63 (step @p88 :rule eq_resolve :premises (@p85 @p87)) % 0.43/0.63 (step @p89 :rule ho_cong :premises (@p54 @p88)) % 0.43/0.63 (step @p90 :rule ho_cong :premises (@p89 @p84)) % 0.43/0.63 (step @p91 :rule trans :premises (@p90 @p72)) % 0.43/0.63 (step @p92 :rule refl :args (@t39)) % 0.43/0.63 (step @p93 :rule cong :premises (@p92 @p40) :args ((= @t39 @t104))) % 0.43/0.63 (step @p94 :rule symm :premises (@p93)) % 0.43/0.63 (step @p95 :rule eq_resolve :premises (@p92 @p94)) % 0.43/0.63 (step @p96 :rule ho_cong :premises (@p54 @p95)) % 0.43/0.63 (step @p97 :rule ho_cong :premises (@p96 @p91)) % 0.43/0.63 (step @p98 :rule trans :premises (@p97 @p66)) % 0.43/0.63 (step @p99 :rule refl :args (@t49)) % 0.43/0.63 (step @p100 :rule cong :premises (@p99 @p43) :args ((= @t49 @t106))) % 0.43/0.63 (step @p101 :rule symm :premises (@p100)) % 0.43/0.63 (step @p102 :rule eq_resolve :premises (@p99 @p101)) % 0.43/0.63 (step @p103 :rule ho_cong :premises (@p54 @p102)) % 0.43/0.63 (step @p104 :rule ho_cong :premises (@p103 @p98)) % 0.43/0.63 (step @p105 :rule trans :premises (@p104 @p60)) % 0.43/0.63 (step @p106 :rule ho_cong :premises (@p48 @p105)) % 0.43/0.63 (step @p107 :rule trans :premises (@p106 @p53)) % 0.43/0.63 (step @p108 :rule refl :args ((tptp.surj__ty_2Erealax_2Ereal @t95))) % 0.43/0.63 (step @p109 :rule refl :args ((tptp.ap tptp.c_2Erealax_2Ereal__neg @t88))) % 0.43/0.63 (step @p110 :rule refl :args ((tptp.ap @t59 @t83))) % 0.43/0.63 (step @p111 :rule refl :args (@t110)) % 0.43/0.63 (step @p112 :rule cong :premises (@p111 @p36) :args (@t111)) % 0.43/0.63 (step @p113 :rule trans :premises (@p112 @p110)) % 0.43/0.63 (step @p114 :rule refl :args (tptp.c_2Erealax_2Ereal__neg)) % 0.43/0.63 (step @p115 :rule cong :premises (@p114 @p113) :args (@t112)) % 0.43/0.63 (step @p116 :rule trans :premises (@p115 @p109)) % 0.43/0.63 (step @p117 :rule cong :premises (@p116) :args (@t113)) % 0.43/0.63 (step @p118 :rule trans :premises (@p117 @p108)) % 0.43/0.63 (step @p119 :rule ho_cong :premises (@p48 @p116)) % 0.43/0.63 (step @p120 :rule cong :premises (@p119 @p118) :args ((= (_ tptp.surj__ty_2Erealax_2Ereal @t112) @t113))) % 0.43/0.63 (step @p121 :rule symm :premises (@p120)) % 0.43/0.63 (step @p122 :rule refl :args (@t96)) % 0.43/0.63 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.43/0.63 (step @p124 :rule refl :args (@t34)) % 0.43/0.63 (step @p125 :rule ho_cong :premises (@p124 @p113)) % 0.43/0.63 (step @p126 :rule cong :premises (@p125 @p116) :args ((= (_ @t34 @t111) @t112))) % 0.43/0.63 (step @p127 :rule symm :premises (@p126)) % 0.43/0.63 (step @p128 :rule refl :args (@t95)) % 0.43/0.63 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 0.43/0.63 (step @p130 :rule ho_cong :premises (@p54 @p111)) % 0.43/0.63 (step @p131 :rule ho_cong :premises (@p130 @p36)) % 0.43/0.63 (step @p132 :rule cong :premises (@p131 @p113) :args ((= (_ (_ tptp.ap @t110) @t101) @t111))) % 0.43/0.63 (step @p133 :rule symm :premises (@p132)) % 0.43/0.63 (step @p134 :rule refl :args (@t88)) % 0.43/0.63 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 0.43/0.63 (step @p136 :rule refl :args (@t59)) % 0.43/0.63 (step @p137 :rule cong :premises (@p136 @p111) :args ((= @t59 @t110))) % 0.43/0.63 (step @p138 :rule symm :premises (@p137)) % 0.43/0.63 (step @p139 :rule eq_resolve :premises (@p136 @p138)) % 0.43/0.63 (step @p140 :rule ho_cong :premises (@p54 @p139)) % 0.43/0.63 (step @p141 :rule ho_cong :premises (@p140 @p84)) % 0.43/0.63 (step @p142 :rule trans :premises (@p141 @p135)) % 0.43/0.63 (step @p143 :rule ho_cong :premises (@p124 @p142)) % 0.43/0.63 (step @p144 :rule trans :premises (@p143 @p129)) % 0.43/0.63 (step @p145 :rule ho_cong :premises (@p48 @p144)) % 0.43/0.63 (step @p146 :rule trans :premises (@p145 @p123)) % 0.43/0.63 (step @p147 :rule cong :premises (@p146 @p107) :args (@t97)) % 0.43/0.63 (step @p148 :rule cong :premises (@p147) :args (@t98)) % 0.43/0.63 (step @p149 :rule cong :premises (@p148) :args (@t99)) % 0.43/0.63 (step @p150 :rule eq_resolve :premises (@p28 @p149)) % 0.43/0.63 (step @p151 :rule skolemize :premises (@p150)) % 0.43/0.63 (step @p152 :rule refl :args ((tptp.surj__ty_2Erealax_2Ereal @t86))) % 0.43/0.63 (step @p153 :rule refl :args ((tptp.ap @t49 @t84))) % 0.43/0.63 (step @p154 :rule cong :premises (@p43 @p39) :args (@t114)) % 0.43/0.63 (step @p155 :rule trans :premises (@p154 @p153)) % 0.43/0.63 (step @p156 :rule cong :premises (@p155) :args (@t115)) % 0.43/0.63 (step @p157 :rule trans :premises (@p156 @p152)) % 0.43/0.63 (step @p158 :rule ho_cong :premises (@p48 @p155)) % 0.43/0.63 (step @p159 :rule cong :premises (@p158 @p157) :args ((= (_ tptp.surj__ty_2Erealax_2Ereal @t114) @t115))) % 0.43/0.63 (step @p160 :rule symm :premises (@p159)) % 0.43/0.63 (step @p161 :rule refl :args (@t87)) % 0.43/0.63 (step @p162 :rule eq_resolve :premises (@p161 @p160)) % 0.43/0.63 (step @p163 :rule ho_cong :premises (@p55 @p39)) % 0.43/0.63 (step @p164 :rule cong :premises (@p163 @p155) :args ((= (_ @t109 @t103) @t114))) % 0.43/0.63 (step @p165 :rule symm :premises (@p164)) % 0.43/0.63 (step @p166 :rule refl :args (@t86)) % 0.43/0.63 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 0.43/0.63 (step @p168 :rule ho_cong :premises (@p103 @p91)) % 0.43/0.63 (step @p169 :rule trans :premises (@p168 @p167)) % 0.43/0.63 (step @p170 :rule ho_cong :premises (@p48 @p169)) % 0.43/0.63 (step @p171 :rule trans :premises (@p170 @p162)) % 0.43/0.63 (step @p172 :rule refl :args ((tptp.surj__ty_2Erealax_2Ereal @t88))) % 0.43/0.63 (step @p173 :rule cong :premises (@p113) :args (@t116)) % 0.43/0.63 (step @p174 :rule trans :premises (@p173 @p172)) % 0.43/0.63 (step @p175 :rule ho_cong :premises (@p48 @p113)) % 0.43/0.63 (step @p176 :rule cong :premises (@p175 @p174) :args ((= (_ tptp.surj__ty_2Erealax_2Ereal @t111) @t116))) % 0.43/0.63 (step @p177 :rule symm :premises (@p176)) % 0.43/0.63 (step @p178 :rule refl :args (@t89)) % 0.43/0.63 (step @p179 :rule eq_resolve :premises (@p178 @p177)) % 0.43/0.63 (step @p180 :rule ho_cong :premises (@p48 @p142)) % 0.43/0.63 (step @p181 :rule trans :premises (@p180 @p179)) % 0.43/0.63 (step @p182 :rule cong :premises (@p181 @p171) :args (@t90)) % 0.43/0.63 (step @p183 :rule cong :premises (@p182) :args (@t91)) % 0.43/0.63 (step @p184 :rule eq_resolve :premises (@p25 @p183)) % 0.43/0.63 (step @p185 :rule instantiate :premises (@p184) :args (@t120)) % 0.43/0.63 (step @p186 :rule refl :args ((tptp.surj__ty_2Erealax_2Ereal @t71))) % 0.43/0.63 (step @p187 :rule refl :args ((tptp.ap tptp.c_2Erealax_2Ereal__neg @t70))) % 0.43/0.63 (step @p188 :rule refl :args ((tptp.ap @t68 @t66))) % 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:args (@t32)) % 0.43/0.63 (step @p462 :rule trans :premises (@p461 @p459)) % 0.43/0.63 (step @p463 :rule eq_resolve :premises (@p10 @p462)) % 0.43/0.63 (step @p464 :rule instantiate :premises (@p463) :args ((@list @t189))) % 0.43/0.63 (step @p465 :rule instantiate :premises (@p357) :args ((@list @t160 tptp.ty_2Erealax_2Ereal @t188 @t135))) % 0.43/0.63 (step @p466 :rule refl :args ((tptp.mem @t59 @t58))) % 0.43/0.63 (step @p467 :rule refl :args ((tptp.arr @t42 tptp.ty_2Erealax_2Ereal))) % 0.43/0.63 (step @p468 :rule refl :args (tptp.ty_2Erealax_2Ereal)) % 0.43/0.63 (step @p469 :rule cong :premises (@p389 @p468) :args (@t190)) % 0.43/0.63 (step @p470 :rule trans :premises (@p469 @p467)) % 0.43/0.63 (step @p471 :rule cong :premises (@p111 @p470) :args (@t191)) % 0.43/0.63 (step @p472 :rule trans :premises (@p471 @p466)) % 0.43/0.63 (step @p473 :rule ho_cong :premises (@p328 @p111)) % 0.43/0.63 (step @p474 :rule ho_cong :premises (@p473 @p470)) % 0.43/0.63 (step @p475 :rule cong :premises (@p474 @p472) :args ((= (_ (_ tptp.mem @t110) @t190) @t191))) % 0.43/0.63 (step @p476 :rule symm :premises (@p475)) % 0.43/0.63 (step @p477 :rule refl :args (@t60)) % 0.43/0.63 (step @p478 :rule eq_resolve :premises (@p477 @p476)) % 0.43/0.63 (step @p479 :rule ho_cong :premises (@p401 @p468)) % 0.43/0.63 (step @p480 :rule cong :premises (@p479 @p470) :args ((= (_ @t168 tptp.ty_2Erealax_2Ereal) @t190))) % 0.43/0.63 (step @p481 :rule symm :premises (@p480)) % 0.43/0.63 (step @p482 :rule refl :args (@t58)) % 0.43/0.63 (step @p483 :rule eq_resolve :premises (@p482 @p481)) % 0.43/0.63 (step @p484 :rule ho_cong :premises (@p419 @p468)) % 0.43/0.63 (step @p485 :rule trans :premises (@p484 @p483)) % 0.43/0.63 (step @p486 :rule ho_cong :premises (@p328 @p139)) % 0.43/0.63 (step @p487 :rule ho_cong :premises (@p486 @p485)) % 0.43/0.63 (step @p488 :rule trans :premises (@p487 @p478)) % 0.43/0.63 (step @p489 :rule cong :premises (@p488) :args (@t61)) % 0.43/0.63 (step @p490 :rule eq_resolve :premises (@p17 @p489)) % 0.43/0.63 (step @p491 :rule instantiate :premises (@p490) :args (@t120)) % 0.43/0.63 (step @p492 :rule cnf_or_pos :args (@t195)) % 0.43/0.63 (step @p493 :rule reordering :premises (@p492) :args ((or @t171 @t194 @t192 (not @t195)))) % 0.43/0.63 (step @p494 :rule chain_m_resolution :premises (@p493 @p383 @p491 @p465) :args (@t192 @t175 (@list @t170 @t193 @t195))) % 0.43/0.63 (step @p495 :rule cnf_or_pos :args (@t200)) % 0.43/0.63 (step @p496 :rule reordering :premises (@p495) :args ((or @t199 @t198 (not @t200)))) % 0.43/0.63 (step @p497 :rule chain_m_resolution :premises (@p496 @p494 @p464) :args (@t198 @t182 (@list @t192 @t200))) % 0.43/0.63 (step @p498 :rule instantiate :premises (@p463) :args ((@list @t177))) % 0.43/0.63 (step @p499 :rule instantiate :premises (@p357) :args ((@list @t159 tptp.ty_2Erealax_2Ereal @t176 @t137))) % 0.43/0.63 (step @p500 :rule refl :args ((tptp.mem @t49 @t48))) % 0.43/0.63 (step @p501 :rule refl :args ((tptp.arr @t37 tptp.ty_2Erealax_2Ereal))) % 0.43/0.63 (step @p502 :rule cong :premises (@p386 @p468) :args (@t201)) % 0.43/0.63 (step @p503 :rule trans :premises (@p502 @p501)) % 0.43/0.63 (step @p504 :rule cong :premises (@p43 @p503) :args (@t202)) % 0.43/0.63 (step @p505 :rule trans :premises (@p504 @p500)) % 0.43/0.63 (step @p506 :rule ho_cong :premises (@p328 @p43)) % 0.43/0.63 (step @p507 :rule ho_cong :premises (@p506 @p503)) % 0.43/0.63 (step @p508 :rule cong :premises (@p507 @p505) :args ((= (_ (_ tptp.mem @t106) @t201) @t202))) % 0.43/0.63 (step @p509 :rule symm :premises (@p508)) % 0.43/0.63 (step @p510 :rule refl :args (@t50)) % 0.43/0.63 (step @p511 :rule eq_resolve :premises (@p510 @p509)) % 0.43/0.63 (step @p512 :rule ho_cong :premises (@p400 @p386)) % 0.43/0.63 (step @p513 :rule ho_cong :premises (@p512 @p468)) % 0.43/0.63 (step @p514 :rule cong :premises (@p513 @p503) :args ((= (_ (_ tptp.arr @t164) tptp.ty_2Erealax_2Ereal) @t201))) % 0.43/0.63 (step @p515 :rule symm :premises (@p514)) % 0.43/0.63 (step @p516 :rule refl :args (@t48)) % 0.43/0.63 (step @p517 :rule eq_resolve :premises (@p516 @p515)) % 0.43/0.63 (step @p518 :rule ho_cong :premises (@p400 @p410)) % 0.43/0.63 (step @p519 :rule ho_cong :premises (@p518 @p468)) % 0.43/0.63 (step @p520 :rule trans :premises (@p519 @p517)) % 0.43/0.63 (step @p521 :rule ho_cong :premises (@p328 @p102)) % 0.43/0.63 (step @p522 :rule ho_cong :premises (@p521 @p520)) % 0.43/0.63 (step @p523 :rule trans :premises (@p522 @p511)) % 0.43/0.63 (step @p524 :rule cong :premises (@p523) :args (@t51)) % 0.43/0.63 (step @p525 :rule eq_resolve :premises (@p15 @p524)) % 0.43/0.63 (step @p526 :rule instantiate :premises (@p525) :args (@t120)) % 0.43/0.63 (step @p527 :rule cnf_or_pos :args (@t206)) % 0.43/0.63 (step @p528 :rule reordering :premises (@p527) :args ((or @t180 @t205 @t203 (not @t206)))) % 0.43/0.63 (step @p529 :rule chain_m_resolution :premises (@p528 @p430 @p526 @p499) :args (@t203 @t175 (@list @t169 @t204 @t206))) % 0.43/0.63 (step @p530 :rule cnf_or_pos :args (@t210)) % 0.43/0.63 (step @p531 :rule reordering :premises (@p530) :args ((or @t209 @t208 (not @t210)))) % 0.43/0.63 (step @p532 :rule chain_m_resolution :premises (@p531 @p529 @p498) :args (@t208 @t182 (@list @t203 @t210))) % 0.43/0.63 (assume-push @p555 @t179) % 0.43/0.63 (assume-push @p556 @t211) % 0.43/0.63 (assume-push @p557 @t198) % 0.43/0.63 (assume-push @p558 @t208) % 0.43/0.63 (step @p537 :rule symm :premises (@p433)) % 0.43/0.63 (step @p538 :rule symm :premises (@p532)) % 0.43/0.63 (step @p539 :rule cong :premises (@p185) :args (@t197)) % 0.43/0.63 (step @p540 :rule trans :premises (@p497 @p539 @p538)) % 0.43/0.63 (step @p541 :rule refl :args (tptp.c_2Erealax_2Ereal__neg)) % 0.43/0.63 (step @p542 :rule cong :premises (@p541 @p540) :args (@t212)) % 0.43/0.63 (step @p543 :rule cong :premises (@p542) :args (@t213)) % 0.43/0.63 (step @p544 :rule trans :premises (@p543 @p537)) % 0.43/0.63 (step-pop @p559 :rule scope :premises (@p544)) % 0.43/0.63 (step-pop @p560 :rule scope :premises (@p559)) % 0.43/0.63 (step-pop @p561 :rule scope :premises (@p560)) % 0.43/0.63 (step-pop @p562 :rule scope :premises (@p561)) % 0.43/0.63 (step @p545 :rule process_scope :premises (@p562) :args (@t214)) % 0.43/0.63 (step @p550 :rule implies_elim :premises (@p545)) % 0.43/0.63 (step @p551 :rule cnf_and_neg :args (@t215)) % 0.43/0.63 (step @p552 :rule resolution :premises (@p551 @p550) :args (true @t215)) % 0.43/0.63 (step @p553 :rule reordering :premises (@p552) :args ((or @t214 (not @t179) (not @t211) (not @t198) (not @t208)))) % 0.43/0.63 (step @p554 false :rule chain_m_resolution :premises (@p553 @p532 @p497 @p433 @p185 @p151) :args (false (@list false false false false true) (@list @t208 @t198 @t179 @t211 @t214))) % 0.43/0.63 ) % 0.43/0.63 % SZS output end Proof % 0.43/0.63 % cvc5 exiting %------------------------------------------------------------------------------