%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP018+2 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 0.36s 0.61s % Output : Proof 0.36s % 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. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.14/0.34 % Computer : n007.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Jun 2 03:57:26 EDT 2026 % 0.14/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.61 % SZS status Theorem % 0.36/0.61 % SZS output start Proof % 0.36/0.61 ( % 0.36/0.61 (declare-sort $$unsorted 0) % 0.36/0.61 (declare-const tptp.c_2Ebool_2E_21 (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.c_2Emin_2E_3D (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.c_2Ebinary__ieee_2Eulp (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.c_2Ebinary__ieee_2Efloat__to__real (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.c_2Ebinary__ieee_2Efloat__plus__min (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.ty_2Ebool_2Eitself (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.ty_2Epair_2Eprod (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.ne (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.c_2Ebool_2Ethe__value (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.ty_2Ebinary__ieee_2Efloat (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.c_2Ebinary__ieee_2Efloat__negate (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.ind $$unsorted) % 0.36/0.61 (declare-const tptp.mem (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.c_2Ebool_2ET $$unsorted) % 0.36/0.61 (declare-const tptp.i (-> $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.bool $$unsorted) % 0.36/0.61 (declare-const tptp.arr (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.p (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.k (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.ty_2Erealax_2Ereal $$unsorted) % 0.36/0.61 (declare-const tptp.c_2Erealax_2Ereal__neg $$unsorted) % 0.36/0.61 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.61 (define @t2 () (@var "A" $$unsorted)) % 0.36/0.61 (define @t3 () (tptp.arr @t2 @t1)) % 0.36/0.61 (define @t4 () (tptp.ne @t2)) % 0.36/0.61 (define @t5 () (@list @t2)) % 0.36/0.61 (define @t6 () (@var "X" $$unsorted)) % 0.36/0.61 (define @t7 () (@var "F" $$unsorted)) % 0.36/0.61 (define @t8 () (tptp.ap @t7 @t6)) % 0.36/0.61 (define @t9 () (tptp.mem @t8 @t1)) % 0.36/0.61 (define @t10 () (tptp.mem @t6 @t2)) % 0.36/0.61 (define @t11 () (@list @t6)) % 0.36/0.61 (define @t12 () (forall @t11 (=> @t10 @t9))) % 0.36/0.61 (define @t13 () (tptp.mem @t7 @t3)) % 0.36/0.61 (define @t14 () (=> @t13 @t12)) % 0.36/0.61 (define @t15 () (@list @t2 @t1 @t7)) % 0.36/0.61 (define @t16 () (forall @t15 @t14)) % 0.36/0.61 (define @t17 () (@var "R" $$unsorted)) % 0.36/0.61 (define @t18 () (@var "Q" $$unsorted)) % 0.36/0.61 (define @t19 () (@list @t18)) % 0.36/0.61 (define @t20 () (@var "G" $$unsorted)) % 0.36/0.61 (define @t21 () (@var "Y" $$unsorted)) % 0.36/0.61 (define @t22 () (@var "A1" $$unsorted)) % 0.36/0.61 (define @t23 () (@var "A0" $$unsorted)) % 0.36/0.61 (define @t24 () (tptp.ne @t22)) % 0.36/0.61 (define @t25 () (@list @t22)) % 0.36/0.61 (define @t26 () (tptp.ne @t23)) % 0.36/0.61 (define @t27 () (@list @t23)) % 0.36/0.61 (define @t28 () (@var "A_27w" $$unsorted)) % 0.36/0.61 (define @t29 () (@var "A_27t" $$unsorted)) % 0.36/0.61 (define @t30 () (tptp.ty_2Ebinary__ieee_2Efloat @t29 @t28)) % 0.36/0.61 (define @t31 () (tptp.c_2Ebinary__ieee_2Efloat__negate @t29 @t28)) % 0.36/0.61 (define @t32 () (tptp.ne @t28)) % 0.36/0.61 (define @t33 () (@list @t28)) % 0.36/0.61 (define @t34 () (tptp.ne @t29)) % 0.36/0.61 (define @t35 () (@list @t29)) % 0.36/0.61 (define @t36 () (tptp.ne (tptp.ty_2Epair_2Eprod @t23 @t22))) % 0.36/0.61 (define @t37 () (forall @t25 (=> @t24 @t36))) % 0.36/0.61 (define @t38 () (=> @t26 @t37)) % 0.36/0.61 (define @t39 () (forall @t27 @t38)) % 0.36/0.61 (define @t40 () (tptp.ty_2Epair_2Eprod @t29 @t28)) % 0.36/0.61 (define @t41 () (tptp.ty_2Ebool_2Eitself @t40)) % 0.36/0.61 (define @t42 () (tptp.c_2Ebinary__ieee_2Efloat__plus__min @t29 @t28)) % 0.36/0.61 (define @t43 () (tptp.mem @t42 (tptp.arr @t41 @t30))) % 0.36/0.61 (define @t44 () (forall @t33 (=> @t32 @t43))) % 0.36/0.61 (define @t45 () (=> @t34 @t44)) % 0.36/0.61 (define @t46 () (forall @t35 @t45)) % 0.36/0.61 (define @t47 () (tptp.c_2Ebinary__ieee_2Efloat__to__real @t29 @t28)) % 0.36/0.61 (define @t48 () (@var "A_27a" $$unsorted)) % 0.36/0.61 (define @t49 () (tptp.mem (tptp.c_2Ebool_2Ethe__value @t48) (tptp.ty_2Ebool_2Eitself @t48))) % 0.36/0.61 (define @t50 () (tptp.ne @t48)) % 0.36/0.61 (define @t51 () (@list @t48)) % 0.36/0.61 (define @t52 () (forall @t51 (=> @t50 @t49))) % 0.36/0.61 (define @t53 () (tptp.c_2Ebinary__ieee_2Eulp @t29 @t28)) % 0.36/0.61 (define @t54 () (tptp.arr @t48 tptp.bool)) % 0.36/0.61 (define @t55 () (@var "V0x" $$unsorted)) % 0.36/0.61 (define @t56 () (@var "A_27b" $$unsorted)) % 0.36/0.61 (define @t57 () (tptp.c_2Ebinary__ieee_2Efloat__to__real @t48 @t56)) % 0.36/0.61 (define @t58 () (tptp.c_2Ebinary__ieee_2Efloat__negate @t48 @t56)) % 0.36/0.61 (define @t59 () (= (tptp.ap @t57 (tptp.ap @t58 @t55)) (tptp.ap tptp.c_2Erealax_2Ereal__neg (tptp.ap @t57 @t55)))) % 0.36/0.61 (define @t60 () (tptp.ty_2Ebinary__ieee_2Efloat @t48 @t56)) % 0.36/0.61 (define @t61 () (tptp.mem @t55 @t60)) % 0.36/0.61 (define @t62 () (@list @t55)) % 0.36/0.61 (define @t63 () (forall @t62 (=> @t61 @t59))) % 0.36/0.61 (define @t64 () (tptp.ne @t56)) % 0.36/0.61 (define @t65 () (=> @t64 @t63)) % 0.36/0.61 (define @t66 () (@list @t56)) % 0.36/0.61 (define @t67 () (forall @t66 @t65)) % 0.36/0.61 (define @t68 () (=> @t50 @t67)) % 0.36/0.61 (define @t69 () (forall @t51 @t68)) % 0.36/0.61 (define @t70 () (tptp.c_2Ebool_2Ethe__value @t40)) % 0.36/0.61 (define @t71 () (tptp.ap @t42 @t70)) % 0.36/0.61 (define @t72 () (tptp.ap @t53 @t70)) % 0.36/0.61 (define @t73 () (= @t72 (tptp.ap @t47 @t71))) % 0.36/0.61 (define @t74 () (forall @t33 (=> @t32 @t73))) % 0.36/0.61 (define @t75 () (=> @t34 @t74)) % 0.36/0.61 (define @t76 () (forall @t35 @t75)) % 0.36/0.61 (define @t77 () (= (tptp.ap tptp.c_2Erealax_2Ereal__neg @t72) (tptp.ap @t47 (tptp.ap @t31 @t71)))) % 0.36/0.61 (define @t78 () (forall @t33 (=> @t32 @t77))) % 0.36/0.61 (define @t79 () (=> @t34 @t78)) % 0.36/0.61 (define @t80 () (forall @t35 @t79)) % 0.36/0.61 (define @t81 () (not @t80)) % 0.36/0.61 (define @t82 () (@var "BOUND_VARIABLE_8076" $$unsorted)) % 0.36/0.61 (define @t83 () (tptp.c_2Ebool_2Ethe__value (tptp.ty_2Epair_2Eprod @t29 @t82))) % 0.36/0.61 (define @t84 () (= (tptp.ap tptp.c_2Erealax_2Ereal__neg (tptp.ap (tptp.c_2Ebinary__ieee_2Eulp @t29 @t82) @t83)) (tptp.ap (tptp.c_2Ebinary__ieee_2Efloat__to__real @t29 @t82) (tptp.ap (tptp.c_2Ebinary__ieee_2Efloat__negate @t29 @t82) (tptp.ap (tptp.c_2Ebinary__ieee_2Efloat__plus__min @t29 @t82) @t83))))) % 0.36/0.61 (define @t85 () (not (tptp.ne @t82))) % 0.36/0.61 (define @t86 () (not @t34)) % 0.36/0.61 (define @t87 () (or @t86 @t85 @t84)) % 0.36/0.61 (define @t88 () (or @t85 @t84)) % 0.36/0.61 (define @t89 () (or @t86 @t88)) % 0.36/0.61 (define @t90 () (@list @t29 @t82)) % 0.36/0.61 (define @t91 () (forall @t90 @t89)) % 0.36/0.61 (define @t92 () (@list @t82)) % 0.36/0.61 (define @t93 () (forall @t92 @t89)) % 0.36/0.61 (define @t94 () (forall @t92 @t88)) % 0.36/0.61 (define @t95 () (@list @t28)) % 0.36/0.61 (define @t96 () (or @t86 @t94)) % 0.36/0.61 (define @t97 () (not @t32)) % 0.36/0.61 (define @t98 () (forall @t33 (or @t97 @t77))) % 0.36/0.61 (define @t99 () (forall @t90 @t87)) % 0.36/0.61 (define @t100 () (@quantifiers_skolemize @t99 1)) % 0.36/0.61 (define @t101 () (@quantifiers_skolemize @t99 0)) % 0.36/0.61 (define @t102 () (tptp.ty_2Epair_2Eprod @t101 @t100)) % 0.36/0.61 (define @t103 () (tptp.c_2Ebool_2Ethe__value @t102)) % 0.36/0.61 (define @t104 () (tptp.c_2Ebinary__ieee_2Efloat__plus__min @t101 @t100)) % 0.36/0.61 (define @t105 () (tptp.ap @t104 @t103)) % 0.36/0.61 (define @t106 () (tptp.c_2Ebinary__ieee_2Efloat__to__real @t101 @t100)) % 0.36/0.61 (define @t107 () (tptp.ap @t106 (tptp.ap (tptp.c_2Ebinary__ieee_2Efloat__negate @t101 @t100) @t105))) % 0.36/0.61 (define @t108 () (tptp.ap (tptp.c_2Ebinary__ieee_2Eulp @t101 @t100) @t103)) % 0.36/0.61 (define @t109 () (tptp.ap tptp.c_2Erealax_2Ereal__neg @t108)) % 0.36/0.61 (define @t110 () (= @t109 @t107)) % 0.36/0.61 (define @t111 () (tptp.ne @t100)) % 0.36/0.61 (define @t112 () (not @t111)) % 0.36/0.61 (define @t113 () (tptp.ne @t101)) % 0.36/0.61 (define @t114 () (not @t113)) % 0.36/0.61 (define @t115 () (or @t114 @t112 @t110)) % 0.36/0.61 (define @t116 () (@list true)) % 0.36/0.61 (define @t117 () (@list @t115)) % 0.36/0.61 (define @t118 () (@var "BOUND_VARIABLE_8045" $$unsorted)) % 0.36/0.61 (define @t119 () (tptp.c_2Ebool_2Ethe__value (tptp.ty_2Epair_2Eprod @t29 @t118))) % 0.36/0.61 (define @t120 () (= (tptp.ap (tptp.c_2Ebinary__ieee_2Eulp @t29 @t118) @t119) (tptp.ap (tptp.c_2Ebinary__ieee_2Efloat__to__real @t29 @t118) (tptp.ap (tptp.c_2Ebinary__ieee_2Efloat__plus__min @t29 @t118) @t119)))) % 0.36/0.61 (define @t121 () (not (tptp.ne @t118))) % 0.36/0.61 (define @t122 () (or @t121 @t120)) % 0.36/0.61 (define @t123 () (or @t86 @t122)) % 0.36/0.61 (define @t124 () (forall (@list @t29 @t118) @t123)) % 0.36/0.61 (define @t125 () (@list @t118)) % 0.36/0.61 (define @t126 () (forall @t125 @t123)) % 0.36/0.61 (define @t127 () (forall @t125 @t122)) % 0.36/0.61 (define @t128 () (or @t86 @t127)) % 0.36/0.61 (define @t129 () (forall @t33 (or @t97 @t73))) % 0.36/0.61 (define @t130 () (@list @t101 @t100)) % 0.36/0.61 (define @t131 () (tptp.ap @t106 @t105)) % 0.36/0.61 (define @t132 () (= @t108 @t131)) % 0.36/0.61 (define @t133 () (or @t114 @t112 @t132)) % 0.36/0.61 (define @t134 () (@list false false false)) % 0.36/0.61 (define @t135 () (@var "BOUND_VARIABLE_8018" $$unsorted)) % 0.36/0.61 (define @t136 () (@var "BOUND_VARIABLE_8016" $$unsorted)) % 0.36/0.61 (define @t137 () (tptp.c_2Ebinary__ieee_2Efloat__to__real @t48 @t136)) % 0.36/0.61 (define @t138 () (= (tptp.ap @t137 (tptp.ap (tptp.c_2Ebinary__ieee_2Efloat__negate @t48 @t136) @t135)) (tptp.ap tptp.c_2Erealax_2Ereal__neg (tptp.ap @t137 @t135)))) % 0.36/0.61 (define @t139 () (not (tptp.mem @t135 (tptp.ty_2Ebinary__ieee_2Efloat @t48 @t136)))) % 0.36/0.61 (define @t140 () (not (tptp.ne @t136))) % 0.36/0.61 (define @t141 () (not @t50)) % 0.36/0.61 (define @t142 () (or @t140 @t139 @t138)) % 0.36/0.61 (define @t143 () (or @t141 @t142)) % 0.36/0.61 (define @t144 () (forall (@list @t48 @t136 @t135) @t143)) % 0.36/0.61 (define @t145 () (@list @t136 @t135)) % 0.36/0.61 (define @t146 () (forall @t145 @t143)) % 0.36/0.61 (define @t147 () (forall @t145 @t142)) % 0.36/0.61 (define @t148 () (@var "BOUND_VARIABLE_7997" $$unsorted)) % 0.36/0.61 (define @t149 () (or @t141 @t147)) % 0.36/0.61 (define @t150 () (= (tptp.ap @t57 (tptp.ap @t58 @t148)) (tptp.ap tptp.c_2Erealax_2Ereal__neg (tptp.ap @t57 @t148)))) % 0.36/0.61 (define @t151 () (not (tptp.mem @t148 @t60))) % 0.36/0.61 (define @t152 () (not @t64)) % 0.36/0.61 (define @t153 () (or @t152 @t151 @t150)) % 0.36/0.61 (define @t154 () (@list @t56 @t148)) % 0.36/0.61 (define @t155 () (forall @t154 @t153)) % 0.36/0.61 (define @t156 () (or @t151 @t150)) % 0.36/0.61 (define @t157 () (or @t152 @t156)) % 0.36/0.61 (define @t158 () (forall @t154 @t157)) % 0.36/0.61 (define @t159 () (@list @t148)) % 0.36/0.61 (define @t160 () (forall @t159 @t157)) % 0.36/0.61 (define @t161 () (forall @t159 @t156)) % 0.36/0.61 (define @t162 () (or @t152 @t161)) % 0.36/0.61 (define @t163 () (forall @t62 (or (not @t61) @t59))) % 0.36/0.61 (define @t164 () (@var "BOUND_VARIABLE_7685" $$unsorted)) % 0.36/0.61 (define @t165 () (tptp.mem (tptp.ap @t7 @t164) @t1)) % 0.36/0.61 (define @t166 () (not (tptp.mem @t164 @t2))) % 0.36/0.61 (define @t167 () (not @t13)) % 0.36/0.61 (define @t168 () (or @t166 @t165)) % 0.36/0.61 (define @t169 () (or @t167 @t168)) % 0.36/0.61 (define @t170 () (forall (@list @t2 @t1 @t7 @t164) @t169)) % 0.36/0.61 (define @t171 () (@list @t164)) % 0.36/0.61 (define @t172 () (forall @t171 @t169)) % 0.36/0.61 (define @t173 () (forall @t171 @t168)) % 0.36/0.61 (define @t174 () (or @t167 @t173)) % 0.36/0.61 (define @t175 () (forall @t11 (or (not @t10) @t9))) % 0.36/0.61 (define @t176 () (tptp.ty_2Ebinary__ieee_2Efloat @t101 @t100)) % 0.36/0.61 (define @t177 () (tptp.ty_2Ebool_2Eitself @t102)) % 0.36/0.61 (define @t178 () (@var "BOUND_VARIABLE_7822" $$unsorted)) % 0.36/0.61 (define @t179 () (tptp.ne (tptp.ty_2Epair_2Eprod @t23 @t178))) % 0.36/0.61 (define @t180 () (not (tptp.ne @t178))) % 0.36/0.61 (define @t181 () (not @t26)) % 0.36/0.61 (define @t182 () (or @t180 @t179)) % 0.36/0.61 (define @t183 () (or @t181 @t182)) % 0.36/0.61 (define @t184 () (forall (@list @t23 @t178) @t183)) % 0.36/0.61 (define @t185 () (@list @t178)) % 0.36/0.61 (define @t186 () (forall @t185 @t183)) % 0.36/0.61 (define @t187 () (forall @t185 @t182)) % 0.36/0.61 (define @t188 () (or @t181 @t187)) % 0.36/0.61 (define @t189 () (forall @t25 (or (not @t24) @t36))) % 0.36/0.61 (define @t190 () (tptp.ne @t102)) % 0.36/0.61 (define @t191 () (or @t114 @t112 @t190)) % 0.36/0.61 (define @t192 () (tptp.mem @t103 @t177)) % 0.36/0.61 (define @t193 () (not @t190)) % 0.36/0.61 (define @t194 () (or @t193 @t192)) % 0.36/0.61 (define @t195 () (@var "BOUND_VARIABLE_7844" $$unsorted)) % 0.36/0.61 (define @t196 () (tptp.mem (tptp.c_2Ebinary__ieee_2Efloat__plus__min @t29 @t195) (tptp.arr (tptp.ty_2Ebool_2Eitself (tptp.ty_2Epair_2Eprod @t29 @t195)) (tptp.ty_2Ebinary__ieee_2Efloat @t29 @t195)))) % 0.36/0.61 (define @t197 () (not (tptp.ne @t195))) % 0.36/0.61 (define @t198 () (or @t197 @t196)) % 0.36/0.61 (define @t199 () (or @t86 @t198)) % 0.36/0.61 (define @t200 () (forall (@list @t29 @t195) @t199)) % 0.36/0.61 (define @t201 () (@list @t195)) % 0.36/0.61 (define @t202 () (forall @t201 @t199)) % 0.36/0.61 (define @t203 () (forall @t201 @t198)) % 0.36/0.61 (define @t204 () (or @t86 @t203)) % 0.36/0.61 (define @t205 () (forall @t33 (or @t97 @t43))) % 0.36/0.61 (define @t206 () (tptp.mem @t104 (tptp.arr @t177 @t176))) % 0.36/0.61 (define @t207 () (or @t114 @t112 @t206)) % 0.36/0.61 (define @t208 () (tptp.mem @t105 @t176)) % 0.36/0.61 (define @t209 () (not @t192)) % 0.36/0.61 (define @t210 () (not @t206)) % 0.36/0.61 (define @t211 () (or @t210 @t209 @t208)) % 0.36/0.61 (define @t212 () (= @t107 (tptp.ap tptp.c_2Erealax_2Ereal__neg @t131))) % 0.36/0.61 (define @t213 () (not @t208)) % 0.36/0.61 (define @t214 () (or @t114 @t112 @t213 @t212)) % 0.36/0.61 (define @t215 () (and @t212 @t132)) % 0.36/0.61 (assume @p1 (tptp.ne tptp.bool)) % 0.36/0.61 (assume @p2 (tptp.ne tptp.ind)) % 0.36/0.61 (assume @p3 (forall @t5 (=> @t4 (forall (@list @t1) (=> (tptp.ne @t1) (tptp.ne @t3)))))) % 0.36/0.61 (assume @p4 @t16) % 0.36/0.61 (assume @p5 (forall @t19 (=> (tptp.mem @t18 tptp.bool) (forall (@list @t17) (=> (tptp.mem @t17 tptp.bool) (=> (= (tptp.p @t18) (tptp.p @t17)) (= @t18 @t17))))))) % 0.36/0.61 (assume @p6 (forall @t15 (=> @t13 (forall (@list @t20) (=> (tptp.mem @t20 @t3) (=> (forall @t11 (=> @t10 (= @t8 (tptp.ap @t20 @t6)))) (= @t7 @t20))))))) % 0.36/0.61 (assume @p7 (forall (@list @t2 @t21 @t6) (=> @t10 (= (tptp.ap (tptp.k @t2 @t21) @t6) @t21)))) % 0.36/0.61 (assume @p8 (forall (@list @t2 @t6) (=> @t10 (= (tptp.ap (tptp.i @t2) @t6) @t6)))) % 0.36/0.61 (assume @p9 (tptp.ne tptp.ty_2Erealax_2Ereal)) % 0.36/0.61 (assume @p10 (tptp.mem tptp.c_2Erealax_2Ereal__neg (tptp.arr tptp.ty_2Erealax_2Ereal tptp.ty_2Erealax_2Ereal))) % 0.36/0.61 (assume @p11 (forall @t27 (=> @t26 (forall @t25 (=> @t24 (tptp.ne (tptp.ty_2Ebinary__ieee_2Efloat @t23 @t22))))))) % 0.36/0.61 (assume @p12 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (tptp.mem @t31 (tptp.arr @t30 @t30))))))) % 0.36/0.61 (assume @p13 @t39) % 0.36/0.61 (assume @p14 (forall @t27 (=> @t26 (tptp.ne (tptp.ty_2Ebool_2Eitself @t23))))) % 0.36/0.61 (assume @p15 @t46) % 0.36/0.61 (assume @p16 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (tptp.mem @t47 (tptp.arr @t30 tptp.ty_2Erealax_2Ereal))))))) % 0.36/0.61 (assume @p17 @t52) % 0.36/0.61 (assume @p18 (forall @t35 (=> @t34 (forall @t33 (=> @t32 (tptp.mem @t53 (tptp.arr @t41 tptp.ty_2Erealax_2Ereal))))))) % 0.36/0.61 (assume @p19 (tptp.mem tptp.c_2Ebool_2ET tptp.bool)) % 0.36/0.61 (assume @p20 (tptp.p tptp.c_2Ebool_2ET)) % 0.36/0.61 (assume @p21 (forall @t51 (=> @t50 (tptp.mem (tptp.c_2Emin_2E_3D @t48) (tptp.arr @t48 @t54))))) % 0.36/0.61 (assume @p22 (forall @t5 (=> @t4 (forall @t11 (=> @t10 (forall (@list @t21) (=> (tptp.mem @t21 @t2) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2Emin_2E_3D @t2) @t6) @t21)) (= @t6 @t21))))))))) % 0.36/0.61 (assume @p23 (forall @t51 (=> @t50 (tptp.mem (tptp.c_2Ebool_2E_21 @t48) (tptp.arr @t54 tptp.bool))))) % 0.36/0.61 (assume @p24 (forall @t5 (=> @t4 (forall @t19 (=> (tptp.mem @t18 (tptp.arr @t2 tptp.bool)) (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_21 @t2) @t18)) (forall @t11 (=> @t10 (tptp.p (tptp.ap @t18 @t6)))))))))) % 0.36/0.61 (assume @p25 @t69) % 0.36/0.61 (assume @p26 @t76) % 0.36/0.61 (assume @p27 true) % 0.36/0.61 (assume @p28 (forall @t51 (=> @t50 (forall @t62 (=> (tptp.mem @t55 @t48) (= (= @t55 @t55) true)))))) % 0.36/0.61 (assume @p29 @t81) % 0.36/0.61 (step @p30 :rule aci_norm :args ((= @t89 @t87))) % 0.36/0.61 (step @p31 :rule cong :premises (@p30) :args (@t91)) % 0.36/0.61 (step @p32 :rule quant-merge-prenex :args ((= (forall @t35 @t93) @t91))) % 0.36/0.61 (step @p33 :rule alpha_equiv :args (@t94 (@list @t82) @t95)) % 0.36/0.61 (step @p34 :rule refl :args (@t86)) % 0.36/0.61 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t96)) % 0.36/0.61 (step @p36 :rule quant-miniscope-or :args ((= @t93 @t96))) % 0.36/0.61 (step @p37 :rule trans :premises (@p36 @p35)) % 0.36/0.61 (step @p38 :rule symm :premises (@p37)) % 0.36/0.61 (step @p39 :rule cong :premises (@p38) :args ((forall @t35 (or @t86 @t98)))) % 0.36/0.61 (step @p40 :rule trans :premises (@p39 @p32)) % 0.36/0.61 (step @p41 :rule trans :premises (@p40 @p31)) % 0.36/0.61 (step @p42 :rule bool-impl-elim :args (@t34 @t98)) % 0.36/0.61 (step @p43 :rule cong :premises (@p42) :args ((forall @t35 (=> @t34 @t98)))) % 0.36/0.61 (step @p44 :rule trans :premises (@p43 @p41)) % 0.36/0.61 (step @p45 :rule bool-impl-elim :args (@t32 @t77)) % 0.36/0.61 (step @p46 :rule cong :premises (@p45) :args (@t78)) % 0.36/0.61 (step @p47 :rule refl :args (@t34)) % 0.36/0.61 (step @p48 :rule cong :premises (@p47 @p46) :args (@t79)) % 0.36/0.61 (step @p49 :rule cong :premises (@p48) :args (@t80)) % 0.36/0.61 (step @p50 :rule trans :premises (@p49 @p44)) % 0.36/0.61 (step @p51 :rule cong :premises (@p50) :args (@t81)) % 0.36/0.61 (step @p52 :rule eq_resolve :premises (@p29 @p51)) % 0.36/0.61 (step @p53 :rule skolemize :premises (@p52)) % 0.36/0.61 (step @p54 :rule cnf_or_neg :args (@t115 2)) % 0.36/0.61 (step @p55 :rule chain_m_resolution :premises (@p54 @p53) :args ((not @t110) @t116 @t117)) % 0.36/0.61 (step @p56 :rule aci_norm :args ((= @t123 (or @t86 @t121 @t120)))) % 0.36/0.61 (step @p57 :rule cong :premises (@p56) :args (@t124)) % 0.36/0.61 (step @p58 :rule quant-merge-prenex :args ((= (forall @t35 @t126) @t124))) % 0.36/0.61 (step @p59 :rule alpha_equiv :args (@t127 (@list @t118) @t95)) % 0.36/0.61 (step @p60 :rule nary_cong :premises (@p34 @p59) :args (@t128)) % 0.36/0.61 (step @p61 :rule quant-miniscope-or :args ((= @t126 @t128))) % 0.36/0.61 (step @p62 :rule trans :premises (@p61 @p60)) % 0.36/0.61 (step @p63 :rule symm :premises (@p62)) % 0.36/0.61 (step @p64 :rule cong :premises (@p63) :args ((forall @t35 (or @t86 @t129)))) % 0.36/0.61 (step @p65 :rule trans :premises (@p64 @p58)) % 0.36/0.61 (step @p66 :rule trans :premises (@p65 @p57)) % 0.36/0.61 (step @p67 :rule bool-impl-elim :args (@t34 @t129)) % 0.36/0.61 (step @p68 :rule cong :premises (@p67) :args ((forall @t35 (=> @t34 @t129)))) % 0.36/0.61 (step @p69 :rule trans :premises (@p68 @p66)) % 0.36/0.61 (step @p70 :rule bool-impl-elim :args (@t32 @t73)) % 0.36/0.61 (step @p71 :rule cong :premises (@p70) :args (@t74)) % 0.36/0.61 (step @p72 :rule cong :premises (@p47 @p71) :args (@t75)) % 0.36/0.61 (step @p73 :rule cong :premises (@p72) :args (@t76)) % 0.36/0.61 (step @p74 :rule trans :premises (@p73 @p69)) % 0.36/0.61 (step @p75 :rule eq_resolve :premises (@p26 @p74)) % 0.36/0.61 (step @p76 :rule instantiate :premises (@p75) :args (@t130)) % 0.36/0.61 (step @p77 :rule bool-double-not-elim :args (@t111)) % 0.36/0.61 (step @p78 :rule refl :args (@t115)) % 0.36/0.61 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t115 (not @t112)))) % 0.36/0.61 (step @p80 :rule cnf_or_neg :args (@t115 1)) % 0.36/0.61 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.36/0.61 (step @p82 :rule reordering :premises (@p81) :args ((or @t111 @t115))) % 0.36/0.61 (step @p83 :rule chain_m_resolution :premises (@p82 @p53) :args (@t111 @t116 @t117)) % 0.36/0.61 (step @p84 :rule bool-double-not-elim :args (@t113)) % 0.36/0.61 (step @p85 :rule nary_cong :premises (@p78 @p84) :args ((or @t115 (not @t114)))) % 0.36/0.61 (step @p86 :rule cnf_or_neg :args (@t115 0)) % 0.36/0.61 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 0.36/0.61 (step @p88 :rule reordering :premises (@p87) :args ((or @t113 @t115))) % 0.36/0.61 (step @p89 :rule chain_m_resolution :premises (@p88 @p53) :args (@t113 @t116 @t117)) % 0.36/0.61 (step @p90 :rule cnf_or_pos :args (@t133)) % 0.36/0.61 (step @p91 :rule reordering :premises (@p90) :args ((or @t114 @t112 @t132 (not @t133)))) % 0.36/0.61 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p83 @p76) :args (@t132 @t134 (@list @t113 @t111 @t133))) % 0.36/0.61 (step @p93 :rule aci_norm :args ((= @t143 (or @t141 @t140 @t139 @t138)))) % 0.36/0.61 (step @p94 :rule cong :premises (@p93) :args (@t144)) % 0.36/0.61 (step @p95 :rule quant-merge-prenex :args ((= (forall @t51 @t146) @t144))) % 0.36/0.61 (step @p96 :rule alpha_equiv :args (@t147 (@list @t136 @t135) (@list @t56 @t148))) % 0.36/0.61 (step @p97 :rule refl :args (@t141)) % 0.36/0.61 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t149)) % 0.36/0.61 (step @p99 :rule quant-miniscope-or :args ((= @t146 @t149))) % 0.36/0.61 (step @p100 :rule trans :premises (@p99 @p98)) % 0.36/0.61 (step @p101 :rule symm :premises (@p100)) % 0.36/0.61 (step @p102 :rule cong :premises (@p101) :args ((forall @t51 (or @t141 @t155)))) % 0.36/0.61 (step @p103 :rule trans :premises (@p102 @p95)) % 0.36/0.61 (step @p104 :rule trans :premises (@p103 @p94)) % 0.36/0.61 (step @p105 :rule bool-impl-elim :args (@t50 @t155)) % 0.36/0.61 (step @p106 :rule cong :premises (@p105) :args ((forall @t51 (=> @t50 @t155)))) % 0.36/0.61 (step @p107 :rule trans :premises (@p106 @p104)) % 0.36/0.61 (step @p108 :rule aci_norm :args ((= @t157 @t153))) % 0.36/0.61 (step @p109 :rule cong :premises (@p108) :args (@t158)) % 0.36/0.61 (step @p110 :rule quant-merge-prenex :args ((= (forall @t66 @t160) @t158))) % 0.36/0.61 (step @p111 :rule alpha_equiv :args (@t161 (@list @t148) (@list @t55))) % 0.36/0.61 (step @p112 :rule refl :args (@t152)) % 0.36/0.61 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t162)) % 0.36/0.61 (step @p114 :rule quant-miniscope-or :args ((= @t160 @t162))) % 0.36/0.61 (step @p115 :rule trans :premises (@p114 @p113)) % 0.36/0.61 (step @p116 :rule symm :premises (@p115)) % 0.36/0.61 (step @p117 :rule cong :premises (@p116) :args ((forall @t66 (or @t152 @t163)))) % 0.36/0.61 (step @p118 :rule trans :premises (@p117 @p110)) % 0.36/0.61 (step @p119 :rule trans :premises (@p118 @p109)) % 0.36/0.61 (step @p120 :rule bool-impl-elim :args (@t64 @t163)) % 0.36/0.61 (step @p121 :rule cong :premises (@p120) :args ((forall @t66 (=> @t64 @t163)))) % 0.36/0.61 (step @p122 :rule trans :premises (@p121 @p119)) % 0.36/0.61 (step @p123 :rule bool-impl-elim :args (@t61 @t59)) % 0.36/0.61 (step @p124 :rule cong :premises (@p123) :args (@t63)) % 0.36/0.61 (step @p125 :rule refl :args (@t64)) % 0.36/0.61 (step @p126 :rule cong :premises (@p125 @p124) :args (@t65)) % 0.36/0.61 (step @p127 :rule cong :premises (@p126) :args (@t67)) % 0.36/0.61 (step @p128 :rule trans :premises (@p127 @p122)) % 0.36/0.61 (step @p129 :rule refl :args (@t50)) % 0.36/0.61 (step @p130 :rule cong :premises (@p129 @p128) :args (@t68)) % 0.36/0.61 (step @p131 :rule cong :premises (@p130) :args (@t69)) % 0.36/0.61 (step @p132 :rule trans :premises (@p131 @p107)) % 0.36/0.61 (step @p133 :rule eq_resolve :premises (@p25 @p132)) % 0.36/0.61 (step @p134 :rule instantiate :premises (@p133) :args ((@list @t101 @t100 @t105))) % 0.36/0.61 (step @p135 :rule aci_norm :args ((= @t169 (or @t167 @t166 @t165)))) % 0.36/0.61 (step @p136 :rule cong :premises (@p135) :args (@t170)) % 0.36/0.61 (step @p137 :rule quant-merge-prenex :args ((= (forall @t15 @t172) @t170))) % 0.36/0.61 (step @p138 :rule alpha_equiv :args (@t173 (@list @t164) (@list @t6))) % 0.36/0.61 (step @p139 :rule refl :args (@t167)) % 0.36/0.61 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t174)) % 0.36/0.61 (step @p141 :rule quant-miniscope-or :args ((= @t172 @t174))) % 0.36/0.61 (step @p142 :rule trans :premises (@p141 @p140)) % 0.36/0.61 (step @p143 :rule symm :premises (@p142)) % 0.36/0.61 (step @p144 :rule cong :premises (@p143) :args ((forall @t15 (or @t167 @t175)))) % 0.36/0.61 (step @p145 :rule trans :premises (@p144 @p137)) % 0.36/0.61 (step @p146 :rule trans :premises (@p145 @p136)) % 0.36/0.61 (step @p147 :rule bool-impl-elim :args (@t13 @t175)) % 0.36/0.61 (step @p148 :rule cong :premises (@p147) :args ((forall @t15 (=> @t13 @t175)))) % 0.36/0.61 (step @p149 :rule trans :premises (@p148 @p146)) % 0.36/0.61 (step @p150 :rule bool-impl-elim :args (@t10 @t9)) % 0.36/0.61 (step @p151 :rule cong :premises (@p150) :args (@t12)) % 0.36/0.61 (step @p152 :rule refl :args (@t13)) % 0.36/0.61 (step @p153 :rule cong :premises (@p152 @p151) :args (@t14)) % 0.36/0.61 (step @p154 :rule cong :premises (@p153) :args (@t16)) % 0.36/0.61 (step @p155 :rule trans :premises (@p154 @p149)) % 0.36/0.61 (step @p156 :rule eq_resolve :premises (@p4 @p155)) % 0.36/0.61 (step @p157 :rule instantiate :premises (@p156) :args ((@list @t177 @t176 @t104 @t103))) % 0.36/0.61 (step @p158 :rule bool-impl-elim :args (@t50 @t49)) % 0.36/0.61 (step @p159 :rule cong :premises (@p158) :args (@t52)) % 0.36/0.61 (step @p160 :rule eq_resolve :premises (@p17 @p159)) % 0.36/0.61 (step @p161 :rule instantiate :premises (@p160) :args ((@list @t102))) % 0.36/0.61 (step @p162 :rule aci_norm :args ((= @t183 (or @t181 @t180 @t179)))) % 0.36/0.61 (step @p163 :rule cong :premises (@p162) :args (@t184)) % 0.36/0.61 (step @p164 :rule quant-merge-prenex :args ((= (forall @t27 @t186) @t184))) % 0.36/0.61 (step @p165 :rule alpha_equiv :args (@t187 (@list @t178) (@list @t22))) % 0.36/0.61 (step @p166 :rule refl :args (@t181)) % 0.36/0.61 (step @p167 :rule nary_cong :premises (@p166 @p165) :args (@t188)) % 0.36/0.61 (step @p168 :rule quant-miniscope-or :args ((= @t186 @t188))) % 0.36/0.61 (step @p169 :rule trans :premises (@p168 @p167)) % 0.36/0.61 (step @p170 :rule symm :premises (@p169)) % 0.36/0.61 (step @p171 :rule cong :premises (@p170) :args ((forall @t27 (or @t181 @t189)))) % 0.36/0.61 (step @p172 :rule trans :premises (@p171 @p164)) % 0.36/0.61 (step @p173 :rule trans :premises (@p172 @p163)) % 0.36/0.61 (step @p174 :rule bool-impl-elim :args (@t26 @t189)) % 0.36/0.61 (step @p175 :rule cong :premises (@p174) :args ((forall @t27 (=> @t26 @t189)))) % 0.36/0.61 (step @p176 :rule trans :premises (@p175 @p173)) % 0.36/0.61 (step @p177 :rule bool-impl-elim :args (@t24 @t36)) % 0.36/0.61 (step @p178 :rule cong :premises (@p177) :args (@t37)) % 0.36/0.61 (step @p179 :rule refl :args (@t26)) % 0.36/0.61 (step @p180 :rule cong :premises (@p179 @p178) :args (@t38)) % 0.36/0.61 (step @p181 :rule cong :premises (@p180) :args (@t39)) % 0.36/0.61 (step @p182 :rule trans :premises (@p181 @p176)) % 0.36/0.61 (step @p183 :rule eq_resolve :premises (@p13 @p182)) % 0.36/0.61 (step @p184 :rule instantiate :premises (@p183) :args (@t130)) % 0.36/0.61 (step @p185 :rule cnf_or_pos :args (@t191)) % 0.36/0.61 (step @p186 :rule reordering :premises (@p185) :args ((or @t114 @t112 @t190 (not @t191)))) % 0.36/0.61 (step @p187 :rule chain_m_resolution :premises (@p186 @p89 @p83 @p184) :args (@t190 @t134 (@list @t113 @t111 @t191))) % 0.36/0.61 (step @p188 :rule cnf_or_pos :args (@t194)) % 0.36/0.61 (step @p189 :rule reordering :premises (@p188) :args ((or @t193 @t192 (not @t194)))) % 0.36/0.61 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p161) :args (@t192 (@list false false) (@list @t190 @t194))) % 0.36/0.61 (step @p191 :rule aci_norm :args ((= @t199 (or @t86 @t197 @t196)))) % 0.36/0.61 (step @p192 :rule cong :premises (@p191) :args (@t200)) % 0.36/0.61 (step @p193 :rule quant-merge-prenex :args ((= (forall @t35 @t202) @t200))) % 0.36/0.61 (step @p194 :rule alpha_equiv :args (@t203 (@list @t195) @t95)) % 0.36/0.61 (step @p195 :rule nary_cong :premises (@p34 @p194) :args (@t204)) % 0.36/0.61 (step @p196 :rule quant-miniscope-or :args ((= @t202 @t204))) % 0.36/0.61 (step @p197 :rule trans :premises (@p196 @p195)) % 0.36/0.61 (step @p198 :rule symm :premises (@p197)) % 0.36/0.61 (step @p199 :rule cong :premises (@p198) :args ((forall @t35 (or @t86 @t205)))) % 0.36/0.61 (step @p200 :rule trans :premises (@p199 @p193)) % 0.36/0.61 (step @p201 :rule trans :premises (@p200 @p192)) % 0.36/0.61 (step @p202 :rule bool-impl-elim :args (@t34 @t205)) % 0.36/0.61 (step @p203 :rule cong :premises (@p202) :args ((forall @t35 (=> @t34 @t205)))) % 0.36/0.61 (step @p204 :rule trans :premises (@p203 @p201)) % 0.36/0.61 (step @p205 :rule bool-impl-elim :args (@t32 @t43)) % 0.36/0.61 (step @p206 :rule cong :premises (@p205) :args (@t44)) % 0.36/0.61 (step @p207 :rule cong :premises (@p47 @p206) :args (@t45)) % 0.36/0.61 (step @p208 :rule cong :premises (@p207) :args (@t46)) % 0.36/0.61 (step @p209 :rule trans :premises (@p208 @p204)) % 0.36/0.61 (step @p210 :rule eq_resolve :premises (@p15 @p209)) % 0.36/0.61 (step @p211 :rule instantiate :premises (@p210) :args (@t130)) % 0.36/0.61 (step @p212 :rule cnf_or_pos :args (@t207)) % 0.36/0.62 (step @p213 :rule reordering :premises (@p212) :args ((or @t114 @t112 @t206 (not @t207)))) % 0.36/0.62 (step @p214 :rule chain_m_resolution :premises (@p213 @p89 @p83 @p211) :args (@t206 @t134 (@list @t113 @t111 @t207))) % 0.36/0.62 (step @p215 :rule cnf_or_pos :args (@t211)) % 0.36/0.62 (step @p216 :rule reordering :premises (@p215) :args ((or @t208 @t210 @t209 (not @t211)))) % 0.36/0.62 (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p190 @p157) :args (@t208 @t134 (@list @t206 @t192 @t211))) % 0.36/0.62 (step @p218 :rule cnf_or_pos :args (@t214)) % 0.36/0.62 (step @p219 :rule reordering :premises (@p218) :args ((or @t114 @t112 @t213 @t212 (not @t214)))) % 0.36/0.62 (step @p220 :rule chain_m_resolution :premises (@p219 @p89 @p83 @p217 @p134) :args (@t212 (@list false false false false) (@list @t113 @t111 @t208 @t214))) % 0.36/0.62 (assume-push @p235 @t212) % 0.36/0.62 (assume-push @p236 @t132) % 0.36/0.62 (step @p223 :rule symm :premises (@p220)) % 0.36/0.62 (step @p224 :rule refl :args (tptp.c_2Erealax_2Ereal__neg)) % 0.36/0.62 (step @p225 :rule cong :premises (@p224 @p92) :args (@t109)) % 0.36/0.62 (step @p226 :rule trans :premises (@p225 @p223)) % 0.36/0.62 (step-pop @p237 :rule scope :premises (@p226)) % 0.36/0.62 (step-pop @p238 :rule scope :premises (@p237)) % 0.36/0.62 (step @p227 :rule process_scope :premises (@p238) :args (@t110)) % 0.36/0.62 (step @p230 :rule implies_elim :premises (@p227)) % 0.36/0.62 (step @p231 :rule cnf_and_neg :args (@t215)) % 0.36/0.62 (step @p232 :rule resolution :premises (@p231 @p230) :args (true @t215)) % 0.36/0.62 (step @p233 :rule reordering :premises (@p232) :args ((or @t110 (not @t212) (not @t132)))) % 0.36/0.62 (step @p234 false :rule chain_m_resolution :premises (@p233 @p220 @p92 @p55) :args (false (@list false false true) (@list @t212 @t132 @t110))) % 0.36/0.62 ) % 0.36/0.62 % SZS output end Proof % 0.36/0.62 % cvc5 exiting %------------------------------------------------------------------------------