%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP012^2 : 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 : n021.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 08:24:34 AM UTC 2026 % Result : Theorem 0.75s 0.93s % Output : Proof 0.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : ITP012^2 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n021.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 03:50:04 EDT 2026 % 0.16/0.33 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.75/0.93 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.75/0.93 % SZS status Theorem % 0.75/0.93 % SZS output start Proof % 0.75/0.93 ( % 0.75/0.93 (declare-sort tptp.tp__ty_2Einteger_2Eint 0) % 0.75/0.93 (declare-sort $$unsorted 0) % 0.75/0.93 (declare-sort tptp.del 0) % 0.75/0.93 (declare-const tptp.c_2Ebool_2E_21 (-> tptp.del $$unsorted)) % 0.75/0.93 (declare-const tptp.c_2Ebool_2E_5C_2F $$unsorted) % 0.75/0.93 (declare-const tptp.c_2Emin_2E_3D_3D_3E $$unsorted) % 0.75/0.93 (declare-const tptp.fo__c_2Einteger_2Eint__neg (-> tptp.tp__ty_2Einteger_2Eint tptp.tp__ty_2Einteger_2Eint)) % 0.75/0.93 (declare-const tptp.fo__c_2Einteger_2Eint__add (-> tptp.tp__ty_2Einteger_2Eint tptp.tp__ty_2Einteger_2Eint tptp.tp__ty_2Einteger_2Eint)) % 0.75/0.93 (declare-const tptp.c_2Einteger_2Eint__neg $$unsorted) % 0.75/0.93 (declare-const tptp.fo__c_2Einteger_2Eint__sub (-> tptp.tp__ty_2Einteger_2Eint tptp.tp__ty_2Einteger_2Eint tptp.tp__ty_2Einteger_2Eint)) % 0.75/0.93 (declare-const tptp.inj__o (-> Bool $$unsorted)) % 0.75/0.93 (declare-const tptp.c_2Ebool_2E_7E $$unsorted) % 0.75/0.93 (declare-const tptp.c_2Ebool_2EF $$unsorted) % 0.75/0.93 (declare-const tptp.c_2Einteger_2Eint__add $$unsorted) % 0.75/0.93 (declare-const tptp.p (-> $$unsorted Bool)) % 0.75/0.93 (declare-const tptp.bool tptp.del) % 0.75/0.93 (declare-const tptp.inj__ty_2Einteger_2Eint (-> tptp.tp__ty_2Einteger_2Eint $$unsorted)) % 0.75/0.93 (declare-const tptp.mem (-> $$unsorted tptp.del Bool)) % 0.75/0.93 (declare-const tptp.c_2Einteger_2Eint__sub $$unsorted) % 0.75/0.93 (declare-const tptp.c_2Einteger_2Eint__divides $$unsorted) % 0.75/0.93 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted)) % 0.75/0.93 (declare-const tptp.arr (-> tptp.del tptp.del tptp.del)) % 0.75/0.93 (declare-const tptp.c_2Emin_2E_3D (-> tptp.del $$unsorted)) % 0.75/0.93 (declare-const tptp.c_2Ebool_2ET $$unsorted) % 0.75/0.93 (declare-const tptp.lam (-> tptp.del (-> $$unsorted $$unsorted) $$unsorted)) % 0.75/0.93 (declare-const tptp.ty_2Einteger_2Eint tptp.del) % 0.75/0.93 (declare-const tptp.c_2Ebool_2E_2F_5C $$unsorted) % 0.75/0.93 (declare-const tptp.c_2Ebool_2E_3F (-> tptp.del $$unsorted)) % 0.75/0.93 (declare-const tptp.surj__ty_2Einteger_2Eint (-> $$unsorted tptp.tp__ty_2Einteger_2Eint)) % 0.75/0.93 (define @t1 () (@var "X" Bool)) % 0.75/0.93 (define @t2 () (_ tptp.inj__o @t1)) % 0.75/0.93 (define @t3 () (@list @t1)) % 0.75/0.93 (define @t4 () (@var "X" $$unsorted)) % 0.75/0.93 (define @t5 () (_ tptp.mem @t4)) % 0.75/0.93 (define @t6 () (@list @t4)) % 0.75/0.93 (define @t7 () (@var "B" tptp.del)) % 0.75/0.93 (define @t8 () (@var "F" $$unsorted)) % 0.75/0.93 (define @t9 () (_ (_ tptp.ap @t8) @t4)) % 0.75/0.93 (define @t10 () (_ (_ tptp.mem @t9) @t7)) % 0.75/0.93 (define @t11 () (@var "A" tptp.del)) % 0.75/0.93 (define @t12 () (_ @t5 @t11)) % 0.75/0.93 (define @t13 () (forall @t6 (=> @t12 @t10))) % 0.75/0.93 (define @t14 () (_ tptp.arr @t11)) % 0.75/0.93 (define @t15 () (_ @t14 @t7)) % 0.75/0.93 (define @t16 () (_ tptp.mem @t8)) % 0.75/0.93 (define @t17 () (_ @t16 @t15)) % 0.75/0.93 (define @t18 () (=> @t17 @t13)) % 0.75/0.93 (define @t19 () (@list @t11 @t7 @t8)) % 0.75/0.93 (define @t20 () (forall @t19 @t18)) % 0.75/0.93 (define @t21 () (@var "F" (-> $$unsorted $$unsorted))) % 0.75/0.93 (define @t22 () (_ (_ tptp.lam @t11) @t21)) % 0.75/0.93 (define @t23 () (_ @t21 @t4)) % 0.75/0.93 (define @t24 () (@var "G" $$unsorted)) % 0.75/0.93 (define @t25 () (@var "A_27a" tptp.del)) % 0.75/0.93 (define @t26 () (_ tptp.arr @t25)) % 0.75/0.93 (define @t27 () (_ @t26 tptp.bool)) % 0.75/0.93 (define @t28 () (_ (_ tptp.arr @t27) tptp.bool)) % 0.75/0.93 (define @t29 () (@list @t25)) % 0.75/0.93 (define @t30 () (@var "Q" $$unsorted)) % 0.75/0.93 (define @t31 () (_ tptp.p (_ (_ tptp.ap @t30) @t4))) % 0.75/0.93 (define @t32 () (_ tptp.mem @t30)) % 0.75/0.93 (define @t33 () (_ @t32 (_ @t14 tptp.bool))) % 0.75/0.93 (define @t34 () (@list @t11 @t30)) % 0.75/0.93 (define @t35 () (@var "X" tptp.tp__ty_2Einteger_2Eint)) % 0.75/0.93 (define @t36 () (_ tptp.inj__ty_2Einteger_2Eint @t35)) % 0.75/0.93 (define @t37 () (_ tptp.surj__ty_2Einteger_2Eint @t36)) % 0.75/0.93 (define @t38 () (@list @t35)) % 0.75/0.93 (define @t39 () (forall @t38 (= @t37 @t35))) % 0.75/0.93 (define @t40 () (_ (_ tptp.mem @t36) tptp.ty_2Einteger_2Eint)) % 0.75/0.93 (define @t41 () (forall @t38 @t40)) % 0.75/0.93 (define @t42 () (_ tptp.surj__ty_2Einteger_2Eint @t4)) % 0.75/0.93 (define @t43 () (_ tptp.inj__ty_2Einteger_2Eint @t42)) % 0.75/0.93 (define @t44 () (= @t4 @t43)) % 0.75/0.93 (define @t45 () (_ @t5 tptp.ty_2Einteger_2Eint)) % 0.75/0.93 (define @t46 () (forall @t6 (=> @t45 @t44))) % 0.75/0.93 (define @t47 () (_ tptp.arr tptp.ty_2Einteger_2Eint)) % 0.75/0.93 (define @t48 () (_ @t47 tptp.ty_2Einteger_2Eint)) % 0.75/0.93 (define @t49 () (_ @t47 @t48)) % 0.75/0.93 (define @t50 () (@var "X1" tptp.tp__ty_2Einteger_2Eint)) % 0.75/0.93 (define @t51 () (_ tptp.inj__ty_2Einteger_2Eint @t50)) % 0.75/0.93 (define @t52 () (@var "X0" tptp.tp__ty_2Einteger_2Eint)) % 0.75/0.93 (define @t53 () (_ tptp.inj__ty_2Einteger_2Eint @t52)) % 0.75/0.93 (define @t54 () (_ tptp.ap tptp.c_2Einteger_2Eint__sub)) % 0.75/0.93 (define @t55 () (_ @t54 @t53)) % 0.75/0.93 (define @t56 () (_ (_ tptp.ap @t55) @t51)) % 0.75/0.93 (define @t57 () (_ (_ tptp.fo__c_2Einteger_2Eint__sub @t52) @t50)) % 0.75/0.93 (define @t58 () (_ tptp.inj__ty_2Einteger_2Eint @t57)) % 0.75/0.93 (define @t59 () (= @t58 @t56)) % 0.75/0.93 (define @t60 () (@list @t52 @t50)) % 0.75/0.93 (define @t61 () (forall @t60 @t59)) % 0.75/0.93 (define @t62 () (_ tptp.mem tptp.c_2Einteger_2Eint__add)) % 0.75/0.93 (define @t63 () (_ @t62 @t49)) % 0.75/0.93 (define @t64 () (_ tptp.ap tptp.c_2Einteger_2Eint__add)) % 0.75/0.93 (define @t65 () (_ tptp.ap tptp.c_2Einteger_2Eint__neg)) % 0.75/0.93 (define @t66 () (_ @t65 @t53)) % 0.75/0.93 (define @t67 () (_ tptp.fo__c_2Einteger_2Eint__neg @t52)) % 0.75/0.93 (define @t68 () (_ tptp.inj__ty_2Einteger_2Eint @t67)) % 0.75/0.93 (define @t69 () (= @t68 @t66)) % 0.75/0.93 (define @t70 () (@list @t52)) % 0.75/0.93 (define @t71 () (forall @t70 @t69)) % 0.75/0.93 (define @t72 () (_ tptp.arr tptp.bool)) % 0.75/0.93 (define @t73 () (_ @t72 tptp.bool)) % 0.75/0.93 (define @t74 () (_ @t72 @t73)) % 0.75/0.93 (define @t75 () (@var "R" $$unsorted)) % 0.75/0.93 (define @t76 () (_ tptp.p @t75)) % 0.75/0.93 (define @t77 () (_ tptp.p @t30)) % 0.75/0.93 (define @t78 () (_ (_ tptp.mem @t75) tptp.bool)) % 0.75/0.93 (define @t79 () (@list @t75)) % 0.75/0.93 (define @t80 () (_ @t32 tptp.bool)) % 0.75/0.93 (define @t81 () (@list @t30)) % 0.75/0.93 (define @t82 () (@var "Y" $$unsorted)) % 0.75/0.93 (define @t83 () (@var "V1t2" $$unsorted)) % 0.75/0.93 (define @t84 () (_ tptp.p @t83)) % 0.75/0.93 (define @t85 () (@var "V0t1" $$unsorted)) % 0.75/0.93 (define @t86 () (_ tptp.p @t85)) % 0.75/0.93 (define @t87 () (@var "V0t" $$unsorted)) % 0.75/0.93 (define @t88 () (_ tptp.p @t87)) % 0.75/0.93 (define @t89 () (not @t88)) % 0.75/0.93 (define @t90 () (=> @t88 false)) % 0.75/0.93 (define @t91 () (_ (_ tptp.mem @t87) tptp.bool)) % 0.75/0.93 (define @t92 () (@list @t87)) % 0.75/0.93 (define @t93 () (forall @t92 (=> @t91 (= (not @t89) @t88)))) % 0.75/0.93 (define @t94 () (@var "V2x" $$unsorted)) % 0.75/0.93 (define @t95 () (@var "V0P" $$unsorted)) % 0.75/0.93 (define @t96 () (_ tptp.ap @t95)) % 0.75/0.93 (define @t97 () (_ tptp.p (_ @t96 @t94))) % 0.75/0.93 (define @t98 () (_ (_ tptp.mem @t94) @t25)) % 0.75/0.93 (define @t99 () (@list @t94)) % 0.75/0.93 (define @t100 () (@var "V1x" $$unsorted)) % 0.75/0.93 (define @t101 () (_ (_ tptp.mem @t95) @t27)) % 0.75/0.93 (define @t102 () (@list @t25 @t95)) % 0.75/0.93 (define @t103 () (@var "V4x" $$unsorted)) % 0.75/0.93 (define @t104 () (@var "V1Q" $$unsorted)) % 0.75/0.93 (define @t105 () (_ tptp.ap @t104)) % 0.75/0.93 (define @t106 () (@var "V3x" $$unsorted)) % 0.75/0.93 (define @t107 () (@var "V2C" $$unsorted)) % 0.75/0.93 (define @t108 () (@var "V1B" $$unsorted)) % 0.75/0.93 (define @t109 () (_ tptp.p @t108)) % 0.75/0.93 (define @t110 () (@var "V0A" $$unsorted)) % 0.75/0.93 (define @t111 () (_ tptp.p @t110)) % 0.75/0.93 (define @t112 () (or @t111 @t109 (_ tptp.p @t107))) % 0.75/0.93 (define @t113 () (_ (_ tptp.mem @t108) tptp.bool)) % 0.75/0.93 (define @t114 () (@list @t108)) % 0.75/0.93 (define @t115 () (_ (_ tptp.mem @t110) tptp.bool)) % 0.75/0.93 (define @t116 () (@list @t110)) % 0.75/0.93 (define @t117 () (or @t111 @t109)) % 0.75/0.93 (define @t118 () (not @t109)) % 0.75/0.93 (define @t119 () (not @t111)) % 0.75/0.93 (define @t120 () (not @t117)) % 0.75/0.93 (define @t121 () (@var "V1y" tptp.tp__ty_2Einteger_2Eint)) % 0.75/0.93 (define @t122 () (_ tptp.inj__ty_2Einteger_2Eint @t121)) % 0.75/0.93 (define @t123 () (_ @t65 @t122)) % 0.75/0.93 (define @t124 () (@var "V0x" tptp.tp__ty_2Einteger_2Eint)) % 0.75/0.93 (define @t125 () (_ tptp.inj__ty_2Einteger_2Eint @t124)) % 0.75/0.93 (define @t126 () (_ @t64 @t125)) % 0.75/0.93 (define @t127 () (_ (_ tptp.ap @t126) @t123)) % 0.75/0.93 (define @t128 () (_ tptp.surj__ty_2Einteger_2Eint @t127)) % 0.75/0.93 (define @t129 () (_ @t54 @t125)) % 0.75/0.93 (define @t130 () (_ (_ tptp.ap @t129) @t122)) % 0.75/0.93 (define @t131 () (_ tptp.surj__ty_2Einteger_2Eint @t130)) % 0.75/0.93 (define @t132 () (= @t131 @t128)) % 0.75/0.93 (define @t133 () (forall (@list @t124 @t121) @t132)) % 0.75/0.93 (define @t134 () (@var "V2r" tptp.tp__ty_2Einteger_2Eint)) % 0.75/0.93 (define @t135 () (_ tptp.inj__ty_2Einteger_2Eint @t134)) % 0.75/0.93 (define @t136 () (@var "V0p" tptp.tp__ty_2Einteger_2Eint)) % 0.75/0.93 (define @t137 () (_ tptp.inj__ty_2Einteger_2Eint @t136)) % 0.75/0.93 (define @t138 () (_ tptp.ap tptp.c_2Einteger_2Eint__divides)) % 0.75/0.93 (define @t139 () (_ @t138 @t137)) % 0.75/0.93 (define @t140 () (_ tptp.ap @t139)) % 0.75/0.93 (define @t141 () (_ @t140 @t135)) % 0.75/0.93 (define @t142 () (_ tptp.p @t141)) % 0.75/0.93 (define @t143 () (@var "V1q" tptp.tp__ty_2Einteger_2Eint)) % 0.75/0.93 (define @t144 () (_ tptp.inj__ty_2Einteger_2Eint @t143)) % 0.75/0.93 (define @t145 () (_ @t64 @t135)) % 0.75/0.93 (define @t146 () (_ (_ tptp.ap @t145) @t144)) % 0.75/0.93 (define @t147 () (_ @t140 @t146)) % 0.75/0.93 (define @t148 () (_ tptp.p @t147)) % 0.75/0.93 (define @t149 () (= @t148 @t142)) % 0.75/0.93 (define @t150 () (_ @t140 @t144)) % 0.75/0.93 (define @t151 () (_ tptp.p @t150)) % 0.75/0.93 (define @t152 () (@list @t136 @t143 @t134)) % 0.75/0.93 (define @t153 () (forall @t152 (=> @t151 @t149))) % 0.75/0.93 (define @t154 () (_ tptp.p (_ (_ tptp.ap (_ @t138 (_ @t65 @t137))) @t144))) % 0.75/0.93 (define @t155 () (_ tptp.p (_ @t140 (_ @t65 @t144)))) % 0.75/0.93 (define @t156 () (and (= @t155 @t151) (= @t154 @t151))) % 0.75/0.93 (define @t157 () (@list @t136 @t143)) % 0.75/0.93 (define @t158 () (forall @t157 @t156)) % 0.75/0.93 (define @t159 () (=> @t119 false)) % 0.75/0.93 (define @t160 () (=> @t118 false)) % 0.75/0.93 (define @t161 () (=> @t111 false)) % 0.75/0.93 (define @t162 () (@var "V0p" $$unsorted)) % 0.75/0.93 (define @t163 () (_ tptp.p @t162)) % 0.75/0.93 (define @t164 () (not @t163)) % 0.75/0.93 (define @t165 () (@var "V1q" $$unsorted)) % 0.75/0.93 (define @t166 () (_ tptp.p @t165)) % 0.75/0.93 (define @t167 () (not @t166)) % 0.75/0.93 (define @t168 () (@var "V2r" $$unsorted)) % 0.75/0.93 (define @t169 () (_ tptp.p @t168)) % 0.75/0.93 (define @t170 () (not @t169)) % 0.75/0.93 (define @t171 () (_ (_ tptp.mem @t168) tptp.bool)) % 0.75/0.93 (define @t172 () (@list @t168)) % 0.75/0.93 (define @t173 () (_ (_ tptp.mem @t165) tptp.bool)) % 0.75/0.93 (define @t174 () (@list @t165)) % 0.75/0.93 (define @t175 () (_ (_ tptp.mem @t162) tptp.bool)) % 0.75/0.93 (define @t176 () (@list @t162)) % 0.75/0.93 (define @t177 () (or @t163 @t170)) % 0.75/0.93 (define @t178 () (or @t163 @t166)) % 0.75/0.93 (define @t179 () (_ @t54 @t135)) % 0.75/0.93 (define @t180 () (_ (_ tptp.ap @t179) @t144)) % 0.75/0.93 (define @t181 () (_ @t140 @t180)) % 0.75/0.93 (define @t182 () (_ tptp.p @t181)) % 0.75/0.93 (define @t183 () (=> @t151 (= @t182 @t142))) % 0.75/0.93 (define @t184 () (forall @t152 @t183)) % 0.75/0.93 (define @t185 () (not @t184)) % 0.75/0.93 (define @t186 () (tptp.inj__ty_2Einteger_2Eint @t50)) % 0.75/0.93 (define @t187 () (tptp.inj__ty_2Einteger_2Eint @t52)) % 0.75/0.93 (define @t188 () (tptp.ap tptp.c_2Einteger_2Eint__sub @t187)) % 0.75/0.93 (define @t189 () (tptp.ap @t188 @t186)) % 0.75/0.93 (define @t190 () (tptp.fo__c_2Einteger_2Eint__sub @t52 @t50)) % 0.75/0.93 (define @t191 () (tptp.inj__ty_2Einteger_2Eint @t190)) % 0.75/0.93 (define @t192 () (tptp.inj__ty_2Einteger_2Eint @t143)) % 0.75/0.93 (define @t193 () (tptp.inj__ty_2Einteger_2Eint @t134)) % 0.75/0.93 (define @t194 () (tptp.ap tptp.c_2Einteger_2Eint__sub @t193)) % 0.75/0.93 (define @t195 () (tptp.ap @t194 @t192)) % 0.75/0.93 (define @t196 () (tptp.inj__ty_2Einteger_2Eint @t136)) % 0.75/0.93 (define @t197 () (tptp.ap tptp.c_2Einteger_2Eint__divides @t196)) % 0.75/0.93 (define @t198 () (tptp.ap @t197 @t195)) % 0.75/0.93 (define @t199 () (tptp.p @t198)) % 0.75/0.93 (define @t200 () (tptp.ap @t197 @t193)) % 0.75/0.93 (define @t201 () (tptp.p @t200)) % 0.75/0.93 (define @t202 () (tptp.ap @t197 @t192)) % 0.75/0.93 (define @t203 () (tptp.p @t202)) % 0.75/0.93 (define @t204 () (not @t203)) % 0.75/0.93 (define @t205 () (forall @t152 (or @t204 (= @t201 @t199)))) % 0.75/0.93 (define @t206 () (@quantifiers_skolemize @t205 1)) % 0.75/0.93 (define @t207 () (@quantifiers_skolemize @t205 2)) % 0.75/0.93 (define @t208 () (tptp.fo__c_2Einteger_2Eint__sub @t207 @t206)) % 0.75/0.93 (define @t209 () (tptp.inj__ty_2Einteger_2Eint @t208)) % 0.75/0.93 (define @t210 () (tptp.inj__ty_2Einteger_2Eint @t206)) % 0.75/0.93 (define @t211 () (tptp.inj__ty_2Einteger_2Eint @t207)) % 0.75/0.93 (define @t212 () (tptp.ap (tptp.ap tptp.c_2Einteger_2Eint__sub @t211) @t210)) % 0.75/0.93 (define @t213 () (forall @t60 (= @t191 @t189))) % 0.75/0.93 (define @t214 () (= @t209 @t212)) % 0.75/0.93 (define @t215 () (@list @t207 @t206)) % 0.75/0.93 (define @t216 () (= @t212 @t209)) % 0.75/0.93 (define @t217 () (@list false)) % 0.75/0.93 (define @t218 () (tptp.inj__ty_2Einteger_2Eint @t121)) % 0.75/0.93 (define @t219 () (tptp.ap tptp.c_2Einteger_2Eint__neg @t218)) % 0.75/0.93 (define @t220 () (tptp.inj__ty_2Einteger_2Eint @t124)) % 0.75/0.93 (define @t221 () (tptp.ap tptp.c_2Einteger_2Eint__add @t220)) % 0.75/0.93 (define @t222 () (tptp.ap @t221 @t219)) % 0.75/0.93 (define @t223 () (tptp.surj__ty_2Einteger_2Eint @t222)) % 0.75/0.93 (define @t224 () (tptp.ap tptp.c_2Einteger_2Eint__sub @t220)) % 0.75/0.93 (define @t225 () (tptp.ap @t224 @t218)) % 0.75/0.93 (define @t226 () (tptp.surj__ty_2Einteger_2Eint @t225)) % 0.75/0.93 (define @t227 () (tptp.inj__ty_2Einteger_2Eint @t35)) % 0.75/0.93 (define @t228 () (tptp.surj__ty_2Einteger_2Eint @t227)) % 0.75/0.93 (define @t229 () (= @t35 @t37)) % 0.75/0.93 (define @t230 () (tptp.ap tptp.c_2Einteger_2Eint__neg @t187)) % 0.75/0.93 (define @t231 () (tptp.fo__c_2Einteger_2Eint__neg @t52)) % 0.75/0.93 (define @t232 () (tptp.inj__ty_2Einteger_2Eint @t231)) % 0.75/0.93 (define @t233 () (tptp.fo__c_2Einteger_2Eint__neg @t206)) % 0.75/0.93 (define @t234 () (tptp.inj__ty_2Einteger_2Eint @t233)) % 0.75/0.93 (define @t235 () (tptp.ap tptp.c_2Einteger_2Eint__neg @t210)) % 0.75/0.93 (define @t236 () (forall @t70 (= @t232 @t230))) % 0.75/0.93 (define @t237 () (= @t234 @t235)) % 0.75/0.93 (define @t238 () (@list @t206)) % 0.75/0.93 (define @t239 () (= @t235 @t234)) % 0.75/0.93 (define @t240 () (tptp.surj__ty_2Einteger_2Eint @t4)) % 0.75/0.93 (define @t241 () (tptp.inj__ty_2Einteger_2Eint @t240)) % 0.75/0.93 (define @t242 () (tptp.mem @t4 tptp.ty_2Einteger_2Eint)) % 0.75/0.93 (define @t243 () (not @t45)) % 0.75/0.93 (define @t244 () (or @t243 @t44)) % 0.75/0.93 (define @t245 () (tptp.ap tptp.c_2Einteger_2Eint__add @t211)) % 0.75/0.93 (define @t246 () (tptp.ap @t245 @t235)) % 0.75/0.93 (define @t247 () (@var "BOUND_VARIABLE_8082" $$unsorted)) % 0.75/0.93 (define @t248 () (tptp.mem (tptp.ap @t8 @t247) @t7)) % 0.75/0.93 (define @t249 () (not (tptp.mem @t247 @t11))) % 0.75/0.93 (define @t250 () (tptp.arr @t11 @t7)) % 0.75/0.93 (define @t251 () (tptp.mem @t8 @t250)) % 0.75/0.93 (define @t252 () (not @t251)) % 0.75/0.93 (define @t253 () (or @t249 @t248)) % 0.75/0.93 (define @t254 () (or @t252 @t253)) % 0.75/0.93 (define @t255 () (forall (@list @t11 @t7 @t8 @t247) @t254)) % 0.75/0.93 (define @t256 () (@list @t247)) % 0.75/0.93 (define @t257 () (forall @t256 @t254)) % 0.75/0.93 (define @t258 () (forall @t256 @t253)) % 0.75/0.93 (define @t259 () (or @t252 @t258)) % 0.75/0.93 (define @t260 () (tptp.ap @t8 @t4)) % 0.75/0.93 (define @t261 () (tptp.mem @t260 @t7)) % 0.75/0.93 (define @t262 () (tptp.mem @t4 @t11)) % 0.75/0.93 (define @t263 () (forall @t6 (or (not @t262) @t261))) % 0.75/0.93 (define @t264 () (not @t17)) % 0.75/0.93 (define @t265 () (or @t264 @t263)) % 0.75/0.93 (define @t266 () (not @t12)) % 0.75/0.93 (define @t267 () (or @t266 @t10)) % 0.75/0.93 (define @t268 () (tptp.mem @t227 tptp.ty_2Einteger_2Eint)) % 0.75/0.93 (define @t269 () (tptp.arr tptp.ty_2Einteger_2Eint tptp.ty_2Einteger_2Eint)) % 0.75/0.93 (define @t270 () (tptp.arr tptp.ty_2Einteger_2Eint @t269)) % 0.75/0.93 (define @t271 () (tptp.mem tptp.c_2Einteger_2Eint__add @t270)) % 0.75/0.93 (define @t272 () (tptp.mem @t245 @t269)) % 0.75/0.93 (define @t273 () (tptp.mem @t211 tptp.ty_2Einteger_2Eint)) % 0.75/0.93 (define @t274 () (not @t273)) % 0.75/0.93 (define @t275 () (not @t271)) % 0.75/0.93 (define @t276 () (or @t275 @t274 @t272)) % 0.75/0.93 (define @t277 () (@list false false false)) % 0.75/0.93 (define @t278 () (tptp.ap @t245 @t234)) % 0.75/0.93 (define @t279 () (tptp.mem @t278 tptp.ty_2Einteger_2Eint)) % 0.75/0.93 (define @t280 () (tptp.mem @t234 tptp.ty_2Einteger_2Eint)) % 0.75/0.93 (define @t281 () (not @t280)) % 0.75/0.93 (define @t282 () (not @t272)) % 0.75/0.93 (define @t283 () (or @t282 @t281 @t279)) % 0.75/0.93 (define @t284 () (tptp.mem @t246 tptp.ty_2Einteger_2Eint)) % 0.75/0.93 (define @t285 () (tptp.surj__ty_2Einteger_2Eint @t246)) % 0.75/0.93 (define @t286 () (tptp.inj__ty_2Einteger_2Eint @t285)) % 0.75/0.93 (define @t287 () (= @t246 @t286)) % 0.75/0.93 (define @t288 () (not @t284)) % 0.75/0.93 (define @t289 () (or @t288 @t287)) % 0.75/0.93 (define @t290 () (@list false false)) % 0.75/0.93 (define @t291 () (_ tptp.ap @t197)) % 0.75/0.93 (define @t292 () (= @t142 @t182)) % 0.75/0.93 (define @t293 () (not @t151)) % 0.75/0.93 (define @t294 () (or @t293 @t292)) % 0.75/0.93 (define @t295 () (@quantifiers_skolemize @t205 0)) % 0.75/0.93 (define @t296 () (tptp.ap tptp.c_2Einteger_2Eint__divides (tptp.inj__ty_2Einteger_2Eint @t295))) % 0.75/0.93 (define @t297 () (tptp.p (tptp.ap @t296 @t212))) % 0.75/0.93 (define @t298 () (tptp.p (tptp.ap @t296 @t211))) % 0.75/0.93 (define @t299 () (= @t298 @t297)) % 0.75/0.93 (define @t300 () (tptp.p (tptp.ap @t296 @t210))) % 0.75/0.93 (define @t301 () (not @t300)) % 0.75/0.93 (define @t302 () (or @t301 @t299)) % 0.75/0.93 (define @t303 () (@list true)) % 0.75/0.93 (define @t304 () (@list @t302)) % 0.75/0.93 (define @t305 () (tptp.ap tptp.c_2Einteger_2Eint__add @t193)) % 0.75/0.93 (define @t306 () (tptp.ap @t305 @t192)) % 0.75/0.93 (define @t307 () (tptp.ap @t197 @t306)) % 0.75/0.93 (define @t308 () (tptp.p @t307)) % 0.75/0.93 (define @t309 () (or @t293 @t149)) % 0.75/0.93 (define @t310 () (tptp.ap @t296 @t278)) % 0.75/0.93 (define @t311 () (tptp.p @t310)) % 0.75/0.93 (define @t312 () (tptp.ap @t296 @t234)) % 0.75/0.93 (define @t313 () (tptp.p @t312)) % 0.75/0.93 (define @t314 () (not @t313)) % 0.75/0.93 (define @t315 () (or @t314 (= @t311 @t298))) % 0.75/0.93 (define @t316 () (forall @t152 (or @t204 (= @t308 @t201)))) % 0.75/0.93 (define @t317 () (= @t298 @t311)) % 0.75/0.93 (define @t318 () (or @t314 @t317)) % 0.75/0.93 (define @t319 () (@var "BOUND_VARIABLE_8786" tptp.tp__ty_2Einteger_2Eint)) % 0.75/0.93 (define @t320 () (_ tptp.inj__ty_2Einteger_2Eint @t319)) % 0.75/0.93 (define @t321 () (@var "BOUND_VARIABLE_8784" tptp.tp__ty_2Einteger_2Eint)) % 0.75/0.93 (define @t322 () (_ tptp.inj__ty_2Einteger_2Eint @t321)) % 0.75/0.93 (define @t323 () (_ @t65 @t322)) % 0.75/0.93 (define @t324 () (_ @t138 @t323)) % 0.75/0.93 (define @t325 () (_ (_ tptp.ap @t324) @t320)) % 0.75/0.93 (define @t326 () (tptp.inj__ty_2Einteger_2Eint @t319)) % 0.75/0.93 (define @t327 () (tptp.inj__ty_2Einteger_2Eint @t321)) % 0.75/0.93 (define @t328 () (tptp.ap tptp.c_2Einteger_2Eint__neg @t327)) % 0.75/0.93 (define @t329 () (tptp.ap tptp.c_2Einteger_2Eint__divides @t328)) % 0.75/0.93 (define @t330 () (tptp.ap @t329 @t326)) % 0.75/0.93 (define @t331 () (tptp.p @t330)) % 0.75/0.93 (define @t332 () (_ tptp.p @t325)) % 0.75/0.93 (define @t333 () (_ @t138 @t322)) % 0.75/0.93 (define @t334 () (_ (_ tptp.ap @t333) @t320)) % 0.75/0.93 (define @t335 () (tptp.ap tptp.c_2Einteger_2Eint__divides @t327)) % 0.75/0.93 (define @t336 () (tptp.ap @t335 @t326)) % 0.75/0.93 (define @t337 () (tptp.p @t336)) % 0.75/0.93 (define @t338 () (_ tptp.p @t334)) % 0.75/0.93 (define @t339 () (= @t338 @t332)) % 0.75/0.93 (define @t340 () (forall (@list @t321 @t319) @t339)) % 0.75/0.93 (define @t341 () (@var "BOUND_VARIABLE_8770" tptp.tp__ty_2Einteger_2Eint)) % 0.75/0.93 (define @t342 () (_ tptp.inj__ty_2Einteger_2Eint @t341)) % 0.75/0.93 (define @t343 () (_ @t65 @t342)) % 0.75/0.93 (define @t344 () (@var "BOUND_VARIABLE_8768" tptp.tp__ty_2Einteger_2Eint)) % 0.75/0.93 (define @t345 () (_ tptp.inj__ty_2Einteger_2Eint @t344)) % 0.75/0.93 (define @t346 () (_ @t138 @t345)) % 0.75/0.93 (define @t347 () (_ tptp.ap @t346)) % 0.75/0.93 (define @t348 () (_ @t347 @t343)) % 0.75/0.93 (define @t349 () (tptp.inj__ty_2Einteger_2Eint @t341)) % 0.75/0.93 (define @t350 () (tptp.ap tptp.c_2Einteger_2Eint__neg @t349)) % 0.75/0.93 (define @t351 () (tptp.inj__ty_2Einteger_2Eint @t344)) % 0.75/0.93 (define @t352 () (tptp.ap tptp.c_2Einteger_2Eint__divides @t351)) % 0.75/0.93 (define @t353 () (tptp.ap @t352 @t350)) % 0.75/0.93 (define @t354 () (tptp.p @t353)) % 0.75/0.93 (define @t355 () (_ tptp.p @t348)) % 0.75/0.93 (define @t356 () (_ tptp.ap @t352)) % 0.75/0.93 (define @t357 () (_ @t347 @t342)) % 0.75/0.93 (define @t358 () (tptp.ap @t352 @t349)) % 0.75/0.93 (define @t359 () (tptp.p @t358)) % 0.75/0.93 (define @t360 () (_ tptp.p @t357)) % 0.75/0.93 (define @t361 () (= @t360 @t355)) % 0.75/0.93 (define @t362 () (forall (@list @t344 @t341) @t361)) % 0.75/0.93 (define @t363 () (= @t151 @t154)) % 0.75/0.93 (define @t364 () (forall @t157 @t363)) % 0.75/0.93 (define @t365 () (@list @t136 @t143)) % 0.75/0.93 (define @t366 () (= @t151 @t155)) % 0.75/0.93 (define @t367 () (forall @t157 @t366)) % 0.75/0.93 (define @t368 () (and @t367 @t364)) % 0.75/0.93 (define @t369 () (tptp.p (tptp.ap @t296 @t235))) % 0.75/0.93 (define @t370 () (= @t300 @t369)) % 0.75/0.93 (define @t371 () (not @t317)) % 0.75/0.93 (define @t372 () (not @t298)) % 0.75/0.93 (define @t373 () (not @t311)) % 0.75/0.93 (define @t374 () (not @t239)) % 0.75/0.93 (define @t375 () (not @t287)) % 0.75/0.93 (define @t376 () (= @t208 (tptp.surj__ty_2Einteger_2Eint @t209))) % 0.75/0.93 (define @t377 () (not @t376)) % 0.75/0.93 (define @t378 () (tptp.surj__ty_2Einteger_2Eint @t212)) % 0.75/0.93 (define @t379 () (= @t378 @t285)) % 0.75/0.93 (define @t380 () (not @t379)) % 0.75/0.93 (define @t381 () (not @t216)) % 0.75/0.93 (define @t382 () (not @t297)) % 0.75/0.93 (define @t383 () (and @t382 @t216 @t379 @t376 @t287 @t239)) % 0.75/0.93 (define @t384 () (and @t297 @t216 @t379 @t376 @t287 @t239)) % 0.75/0.93 (assume @p1 (forall @t3 (= (_ tptp.p @t2) @t1))) % 0.75/0.93 (assume @p2 (forall @t3 (_ (_ tptp.mem @t2) tptp.bool))) % 0.75/0.93 (assume @p3 (forall @t6 (=> (_ @t5 tptp.bool) (= @t4 (_ tptp.inj__o (_ tptp.p @t4)))))) % 0.75/0.93 (assume @p4 @t20) % 0.75/0.93 (assume @p5 (forall (@list @t11 @t7 @t21) (=> (forall @t6 (=> @t12 (_ (_ tptp.mem @t23) @t7))) (_ (_ tptp.mem @t22) @t15)))) % 0.75/0.93 (assume @p6 (forall @t19 (=> @t17 (forall (@list @t24) (=> (_ (_ tptp.mem @t24) @t15) (=> (forall @t6 (=> @t12 (= @t9 (_ (_ tptp.ap @t24) @t4)))) (= @t8 @t24))))))) % 0.75/0.93 (assume @p7 (forall (@list @t11 @t21 @t4) (=> @t12 (= (_ (_ tptp.ap @t22) @t4) @t23)))) % 0.75/0.93 (assume @p8 (_ (_ tptp.mem tptp.c_2Ebool_2ET) tptp.bool)) % 0.75/0.93 (assume @p9 (_ tptp.p tptp.c_2Ebool_2ET)) % 0.75/0.93 (assume @p10 (forall @t29 (_ (_ tptp.mem (_ tptp.c_2Ebool_2E_3F @t25)) @t28))) % 0.75/0.93 (assume @p11 (forall @t34 (=> @t33 (= (_ tptp.p (_ (_ tptp.ap (_ tptp.c_2Ebool_2E_3F @t11)) @t30)) (exists @t6 (and @t12 @t31)))))) % 0.75/0.93 (assume @p12 @t39) % 0.75/0.93 (assume @p13 @t41) % 0.75/0.93 (assume @p14 @t46) % 0.75/0.93 (assume @p15 (_ (_ tptp.mem tptp.c_2Einteger_2Eint__sub) @t49)) % 0.75/0.93 (assume @p16 @t61) % 0.75/0.93 (assume @p17 @t63) % 0.75/0.93 (assume @p18 (forall @t60 (= (_ tptp.inj__ty_2Einteger_2Eint (_ (_ tptp.fo__c_2Einteger_2Eint__add @t52) @t50)) (_ (_ tptp.ap (_ @t64 @t53)) @t51)))) % 0.75/0.93 (assume @p19 (_ (_ tptp.mem tptp.c_2Einteger_2Eint__neg) @t48)) % 0.75/0.93 (assume @p20 @t71) % 0.75/0.93 (assume @p21 (_ (_ tptp.mem tptp.c_2Einteger_2Eint__divides) (_ @t47 (_ @t47 tptp.bool)))) % 0.75/0.93 (assume @p22 (_ (_ tptp.mem tptp.c_2Ebool_2EF) tptp.bool)) % 0.75/0.93 (assume @p23 (not (_ tptp.p tptp.c_2Ebool_2EF))) % 0.75/0.93 (assume @p24 (_ (_ tptp.mem tptp.c_2Emin_2E_3D_3D_3E) @t74)) % 0.75/0.93 (assume @p25 (forall @t81 (=> @t80 (forall @t79 (=> @t78 (= (_ tptp.p (_ (_ tptp.ap (_ (_ tptp.ap tptp.c_2Emin_2E_3D_3D_3E) @t30)) @t75)) (=> @t77 @t76))))))) % 0.75/0.93 (assume @p26 (_ (_ tptp.mem tptp.c_2Ebool_2E_5C_2F) @t74)) % 0.75/0.93 (assume @p27 (forall @t81 (=> @t80 (forall @t79 (=> @t78 (= (_ tptp.p (_ (_ tptp.ap (_ (_ tptp.ap tptp.c_2Ebool_2E_5C_2F) @t30)) @t75)) (or @t77 @t76))))))) % 0.75/0.93 (assume @p28 (_ (_ tptp.mem tptp.c_2Ebool_2E_2F_5C) @t74)) % 0.75/0.93 (assume @p29 (forall @t81 (=> @t80 (forall @t79 (=> @t78 (= (_ tptp.p (_ (_ tptp.ap (_ (_ tptp.ap tptp.c_2Ebool_2E_2F_5C) @t30)) @t75)) (and @t77 @t76))))))) % 0.75/0.93 (assume @p30 (_ (_ tptp.mem tptp.c_2Ebool_2E_7E) @t73)) % 0.75/0.93 (assume @p31 (forall @t81 (=> @t80 (= (_ tptp.p (_ (_ tptp.ap tptp.c_2Ebool_2E_7E) @t30)) (not @t77))))) % 0.75/0.93 (assume @p32 (forall @t29 (_ (_ tptp.mem (_ tptp.c_2Emin_2E_3D @t25)) (_ @t26 @t27)))) % 0.75/0.93 (assume @p33 (forall (@list @t11 @t4) (=> @t12 (forall (@list @t82) (=> (_ (_ tptp.mem @t82) @t11) (= (_ tptp.p (_ (_ tptp.ap (_ (_ tptp.ap (_ tptp.c_2Emin_2E_3D @t11)) @t4)) @t82)) (= @t4 @t82))))))) % 0.75/0.93 (assume @p34 (forall @t29 (_ (_ tptp.mem (_ tptp.c_2Ebool_2E_21 @t25)) @t28))) % 0.75/0.93 (assume @p35 (forall @t34 (=> @t33 (= (_ tptp.p (_ (_ tptp.ap (_ tptp.c_2Ebool_2E_21 @t11)) @t30)) (forall @t6 (=> @t12 @t31)))))) % 0.75/0.93 (assume @p36 true) % 0.75/0.93 (assume @p37 (forall (@list @t85) (=> (_ (_ tptp.mem @t85) tptp.bool) (forall (@list @t83) (=> (_ (_ tptp.mem @t83) tptp.bool) (=> (=> @t86 @t84) (=> (=> @t84 @t86) (= @t86 @t84)))))))) % 0.75/0.93 (assume @p38 (forall @t92 (=> @t91 (=> @t90 @t89)))) % 0.75/0.93 (assume @p39 (forall @t92 (=> @t91 (=> @t89 @t90)))) % 0.75/0.93 (assume @p40 (forall @t92 (=> @t91 (and (= (=> true @t88) @t88) (= (=> @t88 true) true) (= (=> false @t88) true) (= (=> @t88 @t88) true) (= @t90 @t89))))) % 0.75/0.93 (assume @p41 (and @t93 (= (not true) false) (= (not false) true))) % 0.75/0.93 (assume @p42 (forall @t92 (=> @t91 (and (= (= true @t88) @t88) (= (= @t88 true) @t88) (= (= false @t88) @t89) (= (= @t88 false) @t89))))) % 0.75/0.93 (assume @p43 (forall @t102 (=> @t101 (= (not (forall (@list @t100) (=> (_ (_ tptp.mem @t100) @t25) (_ tptp.p (_ @t96 @t100))))) (exists @t99 (and @t98 (not @t97))))))) % 0.75/0.93 (assume @p44 (forall @t102 (=> @t101 (forall (@list @t104) (=> (_ (_ tptp.mem @t104) @t27) (= (forall @t99 (=> @t98 (and @t97 (_ tptp.p (_ @t105 @t94))))) (and (forall (@list @t106) (=> (_ (_ tptp.mem @t106) @t25) (_ tptp.p (_ @t96 @t106)))) (forall (@list @t103) (=> (_ (_ tptp.mem @t103) @t25) (_ tptp.p (_ @t105 @t103))))))))))) % 0.75/0.93 (assume @p45 (forall @t116 (=> @t115 (forall @t114 (=> @t113 (forall (@list @t107) (=> (_ (_ tptp.mem @t107) tptp.bool) (= @t112 @t112)))))))) % 0.75/0.93 (assume @p46 (forall @t116 (=> @t115 (forall @t114 (=> @t113 (= @t117 (or @t109 @t111))))))) % 0.75/0.93 (assume @p47 (forall @t116 (=> @t115 (forall @t114 (=> @t113 (and (= (not (and @t111 @t109)) (or @t119 @t118)) (= @t120 (and @t119 @t118)))))))) % 0.75/0.93 (assume @p48 @t133) % 0.75/0.93 (assume @p49 @t153) % 0.75/0.93 (assume @p50 @t158) % 0.75/0.93 (assume @p51 @t93) % 0.75/0.93 (assume @p52 (forall @t116 (=> @t115 (=> @t111 @t159)))) % 0.75/0.93 (assume @p53 (forall @t116 (=> @t115 (forall @t114 (=> @t113 (= (=> @t120 false) (=> @t161 @t160))))))) % 0.75/0.93 (assume @p54 (forall @t116 (=> @t115 (forall @t114 (=> @t113 (= (=> (not (or @t119 @t109)) false) (=> @t111 @t160))))))) % 0.75/0.93 (assume @p55 (forall @t116 (=> @t115 (=> @t159 (=> @t161 false))))) % 0.75/0.93 (assume @p56 (forall @t176 (=> @t175 (forall @t174 (=> @t173 (forall @t172 (=> @t171 (= (= @t163 (= @t166 @t169)) (and (or @t163 @t166 @t169) (or @t163 @t170 @t167) (or @t166 @t170 @t164) (or @t169 @t167 @t164)))))))))) % 0.75/0.93 (assume @p57 (forall @t176 (=> @t175 (forall @t174 (=> @t173 (forall @t172 (=> @t171 (= (= @t163 (and @t166 @t169)) (and (or @t163 @t167 @t170) (or @t166 @t164) (or @t169 @t164)))))))))) % 0.75/0.93 (assume @p58 (forall @t176 (=> @t175 (forall @t174 (=> @t173 (forall @t172 (=> @t171 (= (= @t163 (or @t166 @t169)) (and (or @t163 @t167) @t177 (or @t166 @t169 @t164)))))))))) % 0.75/0.93 (assume @p59 (forall @t176 (=> @t175 (forall @t174 (=> @t173 (forall @t172 (=> @t171 (= (= @t163 (=> @t166 @t169)) (and @t178 @t177 (or @t167 @t169 @t164)))))))))) % 0.75/0.93 (assume @p60 (forall @t176 (=> @t175 (forall @t174 (=> @t173 (= (= @t163 @t167) (and @t178 (or @t167 @t164)))))))) % 0.75/0.93 (assume @p61 @t185) % 0.75/0.93 (step @p62 :rule refl :args ((tptp.ap @t55 @t51))) % 0.75/0.93 (step @p63 :rule refl :args (@t186)) % 0.75/0.93 (step @p64 :rule refl :args ((tptp.ap tptp.c_2Einteger_2Eint__sub @t53))) % 0.75/0.93 (step @p65 :rule refl :args (@t187)) % 0.75/0.93 (step @p66 :rule refl :args (tptp.c_2Einteger_2Eint__sub)) % 0.75/0.93 (step @p67 :rule cong :premises (@p66 @p65) :args (@t188)) % 0.75/0.93 (step @p68 :rule trans :premises (@p67 @p64)) % 0.75/0.93 (step @p69 :rule cong :premises (@p68 @p63) :args (@t189)) % 0.75/0.93 (step @p70 :rule trans :premises (@p69 @p62)) % 0.75/0.93 (step @p71 :rule refl :args (tptp.ap)) % 0.75/0.93 (step @p72 :rule ho_cong :premises (@p71 @p68)) % 0.75/0.93 (step @p73 :rule ho_cong :premises (@p72 @p63)) % 0.75/0.93 (step @p74 :rule cong :premises (@p73 @p70) :args ((= (_ (_ tptp.ap @t188) @t186) @t189))) % 0.75/0.93 (step @p75 :rule symm :premises (@p74)) % 0.75/0.93 (step @p76 :rule refl :args (@t56)) % 0.75/0.93 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.75/0.93 (step @p78 :rule refl :args (@t51)) % 0.75/0.93 (step @p79 :rule cong :premises (@p78 @p63) :args ((= @t51 @t186))) % 0.75/0.93 (step @p80 :rule symm :premises (@p79)) % 0.75/0.93 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 0.75/0.93 (step @p82 :rule refl :args (@t54)) % 0.75/0.93 (step @p83 :rule ho_cong :premises (@p82 @p65)) % 0.75/0.93 (step @p84 :rule cong :premises (@p83 @p68) :args ((= (_ @t54 @t187) @t188))) % 0.75/0.93 (step @p85 :rule symm :premises (@p84)) % 0.75/0.93 (step @p86 :rule refl :args (@t55)) % 0.75/0.93 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 0.75/0.93 (step @p88 :rule refl :args (@t53)) % 0.75/0.93 (step @p89 :rule cong :premises (@p88 @p65) :args ((= @t53 @t187))) % 0.75/0.93 (step @p90 :rule symm :premises (@p89)) % 0.75/0.93 (step @p91 :rule eq_resolve :premises (@p88 @p90)) % 0.75/0.93 (step @p92 :rule ho_cong :premises (@p82 @p91)) % 0.75/0.93 (step @p93 :rule trans :premises (@p92 @p87)) % 0.75/0.93 (step @p94 :rule ho_cong :premises (@p71 @p93)) % 0.75/0.93 (step @p95 :rule ho_cong :premises (@p94 @p81)) % 0.75/0.93 (step @p96 :rule trans :premises (@p95 @p77)) % 0.75/0.93 (step @p97 :rule refl :args ((tptp.inj__ty_2Einteger_2Eint @t57))) % 0.75/0.93 (step @p98 :rule refl :args (@t190)) % 0.75/0.93 (step @p99 :rule cong :premises (@p98) :args (@t191)) % 0.75/0.93 (step @p100 :rule trans :premises (@p99 @p97)) % 0.75/0.93 (step @p101 :rule refl :args (tptp.inj__ty_2Einteger_2Eint)) % 0.75/0.93 (step @p102 :rule ho_cong :premises (@p101 @p98)) % 0.75/0.93 (step @p103 :rule cong :premises (@p102 @p100) :args ((= (_ tptp.inj__ty_2Einteger_2Eint @t190) @t191))) % 0.75/0.93 (step @p104 :rule symm :premises (@p103)) % 0.75/0.93 (step @p105 :rule refl :args (@t58)) % 0.75/0.93 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.75/0.93 (step @p107 :rule refl :args (@t57)) % 0.75/0.93 (step @p108 :rule cong :premises (@p107 @p98) :args ((= @t57 @t190))) % 0.75/0.93 (step @p109 :rule symm :premises (@p108)) % 0.75/0.93 (step @p110 :rule eq_resolve :premises (@p107 @p109)) % 0.75/0.93 (step @p111 :rule ho_cong :premises (@p101 @p110)) % 0.75/0.93 (step @p112 :rule trans :premises (@p111 @p106)) % 0.75/0.93 (step @p113 :rule cong :premises (@p112 @p96) :args (@t59)) % 0.75/0.93 (step @p114 :rule cong :premises (@p113) :args (@t61)) % 0.75/0.93 (step @p115 :rule eq_resolve :premises (@p16 @p114)) % 0.75/0.93 (step @p116 :rule eq-symm :args (@t209 @t212)) % 0.75/0.93 (step @p117 :rule refl :args (@t213)) % 0.75/0.93 (step @p118 :rule cong :premises (@p117 @p116) :args ((=> @t213 @t214))) % 0.75/0.93 (assume-push @p928 @t213) % 0.75/0.93 (step @p120 :rule instantiate :premises (@p115) :args (@t215)) % 0.75/0.93 (step-pop @p929 :rule scope :premises (@p120)) % 0.75/0.93 (step @p121 :rule process_scope :premises (@p929) :args (@t214)) % 0.75/0.93 (step @p123 :rule eq_resolve :premises (@p121 @p118)) % 0.75/0.93 (step @p124 :rule implies_elim :premises (@p123)) % 0.75/0.93 (step @p125 :rule chain_m_resolution :premises (@p124 @p115) :args (@t216 @t217 (@list @t213))) % 0.75/0.93 (step @p126 :rule refl :args ((tptp.surj__ty_2Einteger_2Eint @t127))) % 0.75/0.93 (step @p127 :rule refl :args ((tptp.ap @t126 @t123))) % 0.75/0.93 (step @p128 :rule refl :args ((tptp.ap tptp.c_2Einteger_2Eint__neg @t122))) % 0.75/0.93 (step @p129 :rule refl :args (@t218)) % 0.75/0.93 (step @p130 :rule refl :args (tptp.c_2Einteger_2Eint__neg)) % 0.75/0.93 (step @p131 :rule cong :premises (@p130 @p129) :args (@t219)) % 0.75/0.93 (step @p132 :rule trans :premises (@p131 @p128)) % 0.75/0.93 (step @p133 :rule refl :args ((tptp.ap tptp.c_2Einteger_2Eint__add @t125))) % 0.75/0.93 (step @p134 :rule refl :args (@t220)) % 0.75/0.93 (step @p135 :rule refl :args (tptp.c_2Einteger_2Eint__add)) % 0.75/0.93 (step @p136 :rule cong :premises (@p135 @p134) :args (@t221)) % 0.75/0.93 (step @p137 :rule trans :premises (@p136 @p133)) % 0.75/0.93 (step @p138 :rule cong :premises (@p137 @p132) :args (@t222)) % 0.75/0.93 (step @p139 :rule trans :premises (@p138 @p127)) % 0.75/0.93 (step @p140 :rule cong :premises (@p139) :args (@t223)) % 0.75/0.93 (step @p141 :rule trans :premises (@p140 @p126)) % 0.75/0.93 (step @p142 :rule refl :args (tptp.surj__ty_2Einteger_2Eint)) % 0.75/0.93 (step @p143 :rule ho_cong :premises (@p142 @p139)) % 0.75/0.93 (step @p144 :rule cong :premises (@p143 @p141) :args ((= (_ tptp.surj__ty_2Einteger_2Eint @t222) @t223))) % 0.75/0.93 (step @p145 :rule symm :premises (@p144)) % 0.75/0.93 (step @p146 :rule refl :args (@t128)) % 0.75/0.93 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 0.75/0.93 (step @p148 :rule ho_cong :premises (@p71 @p137)) % 0.75/0.93 (step @p149 :rule ho_cong :premises (@p148 @p132)) % 0.75/0.93 (step @p150 :rule cong :premises (@p149 @p139) :args ((= (_ (_ tptp.ap @t221) @t219) @t222))) % 0.75/0.93 (step @p151 :rule symm :premises (@p150)) % 0.75/0.93 (step @p152 :rule refl :args (@t127)) % 0.75/0.93 (step @p153 :rule eq_resolve :premises (@p152 @p151)) % 0.75/0.93 (step @p154 :rule refl :args (@t65)) % 0.75/0.93 (step @p155 :rule ho_cong :premises (@p154 @p129)) % 0.75/0.93 (step @p156 :rule cong :premises (@p155 @p132) :args ((= (_ @t65 @t218) @t219))) % 0.75/0.93 (step @p157 :rule symm :premises (@p156)) % 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% 0.75/0.93 (step @p174 :rule symm :premises (@p173)) % 0.75/0.93 (step @p175 :rule eq_resolve :premises (@p172 @p174)) % 0.75/0.93 (step @p176 :rule ho_cong :premises (@p166 @p175)) % 0.75/0.93 (step @p177 :rule trans :premises (@p176 @p171)) % 0.75/0.93 (step @p178 :rule ho_cong :premises (@p71 @p177)) % 0.75/0.93 (step @p179 :rule ho_cong :premises (@p178 @p165)) % 0.75/0.93 (step @p180 :rule trans :premises (@p179 @p153)) % 0.75/0.93 (step @p181 :rule ho_cong :premises (@p142 @p180)) % 0.75/0.93 (step @p182 :rule trans :premises (@p181 @p147)) % 0.75/0.93 (step @p183 :rule refl :args ((tptp.surj__ty_2Einteger_2Eint @t130))) % 0.75/0.93 (step @p184 :rule refl :args ((tptp.ap @t129 @t122))) % 0.75/0.93 (step @p185 :rule refl :args ((tptp.ap tptp.c_2Einteger_2Eint__sub @t125))) % 0.75/0.93 (step @p186 :rule cong :premises (@p66 @p134) :args (@t224)) % 0.75/0.93 (step @p187 :rule trans :premises (@p186 @p185)) % 0.75/0.93 (step @p188 :rule cong :premises (@p187 @p129) :args (@t225)) % 0.75/0.93 (step @p189 :rule trans :premises (@p188 @p184)) % 0.75/0.93 (step @p190 :rule cong :premises (@p189) :args (@t226)) % 0.75/0.93 (step @p191 :rule trans :premises (@p190 @p183)) % 0.75/0.93 (step @p192 :rule ho_cong :premises (@p142 @p189)) % 0.75/0.93 (step @p193 :rule cong :premises (@p192 @p191) :args ((= (_ tptp.surj__ty_2Einteger_2Eint @t225) @t226))) % 0.75/0.93 (step @p194 :rule symm :premises (@p193)) % 0.75/0.93 (step @p195 :rule refl :args (@t131)) % 0.75/0.93 (step @p196 :rule eq_resolve :premises (@p195 @p194)) % 0.75/0.93 (step @p197 :rule ho_cong :premises (@p71 @p187)) % 0.75/0.93 (step @p198 :rule ho_cong :premises (@p197 @p129)) % 0.75/0.93 (step @p199 :rule cong :premises (@p198 @p189) :args ((= (_ (_ tptp.ap @t224) @t218) @t225))) % 0.75/0.93 (step @p200 :rule symm :premises (@p199)) % 0.75/0.93 (step @p201 :rule refl :args (@t130)) % 0.75/0.93 (step @p202 :rule eq_resolve :premises (@p201 @p200)) % 0.75/0.93 (step @p203 :rule ho_cong :premises (@p82 @p134)) % 0.75/0.93 (step @p204 :rule cong :premises (@p203 @p187) :args ((= (_ @t54 @t220) @t224))) % 0.75/0.93 (step @p205 :rule symm :premises (@p204)) % 0.75/0.93 (step @p206 :rule refl :args (@t129)) % 0.75/0.93 (step @p207 :rule eq_resolve :premises (@p206 @p205)) % 0.75/0.93 (step @p208 :rule ho_cong :premises (@p82 @p175)) % 0.75/0.93 (step @p209 :rule trans :premises (@p208 @p207)) % 0.75/0.93 (step @p210 :rule ho_cong :premises (@p71 @p209)) % 0.75/0.93 (step @p211 :rule ho_cong :premises (@p210 @p163)) % 0.75/0.93 (step @p212 :rule trans :premises (@p211 @p202)) % 0.75/0.93 (step @p213 :rule ho_cong :premises (@p142 @p212)) % 0.75/0.93 (step @p214 :rule trans :premises (@p213 @p196)) % 0.75/0.93 (step @p215 :rule cong :premises (@p214 @p182) :args (@t132)) % 0.75/0.93 (step @p216 :rule cong :premises (@p215) :args (@t133)) % 0.75/0.93 (step @p217 :rule eq_resolve :premises (@p48 @p216)) % 0.75/0.93 (step @p218 :rule instantiate :premises (@p217) :args (@t215)) % 0.75/0.93 (step @p219 :rule refl :args ((tptp.surj__ty_2Einteger_2Eint @t36))) % 0.75/0.93 (step @p220 :rule refl :args (@t227)) % 0.75/0.93 (step @p221 :rule cong :premises (@p220) :args (@t228)) % 0.75/0.93 (step @p222 :rule trans :premises (@p221 @p219)) % 0.75/0.93 (step @p223 :rule ho_cong :premises (@p142 @p220)) % 0.75/0.93 (step @p224 :rule cong :premises (@p223 @p222) :args ((= (_ tptp.surj__ty_2Einteger_2Eint @t227) @t228))) % 0.75/0.93 (step @p225 :rule symm :premises (@p224)) % 0.75/0.93 (step @p226 :rule refl :args (@t37)) % 0.75/0.93 (step @p227 :rule eq_resolve :premises (@p226 @p225)) % 0.75/0.93 (step @p228 :rule refl :args (@t36)) % 0.75/0.93 (step @p229 :rule cong :premises (@p228 @p220) :args ((= @t36 @t227))) % 0.75/0.93 (step @p230 :rule symm :premises (@p229)) % 0.75/0.93 (step @p231 :rule eq_resolve :premises (@p228 @p230)) % 0.75/0.93 (step @p232 :rule ho_cong :premises (@p142 @p231)) % 0.75/0.93 (step @p233 :rule trans :premises (@p232 @p227)) % 0.75/0.93 (step @p234 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trans :premises (@p758 @p753)) % 0.75/0.93 (step @p760 :rule ho_cong :premises (@p502 @p731)) % 0.75/0.93 (step @p761 :rule cong :premises (@p760 @p733) :args ((= (_ @t138 @t351) @t352))) % 0.75/0.93 (step @p762 :rule symm :premises (@p761)) % 0.75/0.93 (step @p763 :rule refl :args (@t346)) % 0.75/0.93 (step @p764 :rule eq_resolve :premises (@p763 @p762)) % 0.75/0.93 (step @p765 :rule refl :args (@t345)) % 0.75/0.93 (step @p766 :rule cong :premises (@p765 @p731) :args ((= @t345 @t351))) % 0.75/0.93 (step @p767 :rule symm :premises (@p766)) % 0.75/0.93 (step @p768 :rule eq_resolve :premises (@p765 @p767)) % 0.75/0.93 (step @p769 :rule ho_cong :premises (@p502 @p768)) % 0.75/0.93 (step @p770 :rule trans :premises (@p769 @p764)) % 0.75/0.93 (step @p771 :rule ho_cong :premises (@p71 @p770)) % 0.75/0.93 (step @p772 :rule ho_cong :premises (@p771 @p759)) % 0.75/0.93 (step @p773 :rule trans :premises (@p772 @p748)) % 0.75/0.93 (step @p774 :rule ho_cong :premises (@p466 @p773)) % 0.75/0.93 (step @p775 :rule trans :premises (@p774 @p742)) % 0.75/0.93 (step @p776 :rule refl :args ((tptp.p @t357))) % 0.75/0.93 (step @p777 :rule refl :args ((tptp.ap @t346 @t342))) % 0.75/0.93 (step @p778 :rule cong :premises (@p733 @p727) :args (@t358)) % 0.75/0.93 (step @p779 :rule trans :premises (@p778 @p777)) % 0.75/0.93 (step @p780 :rule cong :premises (@p779) :args (@t359)) % 0.75/0.93 (step @p781 :rule trans :premises (@p780 @p776)) % 0.75/0.93 (step @p782 :rule ho_cong :premises (@p466 @p779)) % 0.75/0.93 (step @p783 :rule cong :premises (@p782 @p781) :args ((= (_ tptp.p @t358) @t359))) % 0.75/0.93 (step @p784 :rule symm :premises (@p783)) % 0.75/0.93 (step @p785 :rule refl :args (@t360)) % 0.75/0.93 (step @p786 :rule eq_resolve :premises (@p785 @p784)) % 0.75/0.93 (step @p787 :rule ho_cong :premises (@p743 @p727)) % 0.75/0.93 (step @p788 :rule cong :premises (@p787 @p779) :args ((= (_ @t356 @t349) @t358))) % 0.75/0.93 (step @p789 :rule symm :premises (@p788)) % 0.75/0.93 (step @p790 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@p804 :rule trans :premises (@p803 @p798)) % 0.75/0.93 (step @p805 :rule eq-symm :args (@t154 @t151)) % 0.75/0.93 (step @p806 :rule eq-symm :args (@t155 @t151)) % 0.75/0.93 (step @p807 :rule nary_cong :premises (@p806 @p805) :args (@t156)) % 0.75/0.93 (step @p808 :rule cong :premises (@p807) :args (@t158)) % 0.75/0.93 (step @p809 :rule trans :premises (@p808 @p804)) % 0.75/0.93 (step @p810 :rule eq_resolve :premises (@p50 @p809)) % 0.75/0.93 (step @p811 :rule and_elim :premises (@p810) :args (0)) % 0.75/0.93 (step @p812 :rule instantiate :premises (@p811) :args ((@list @t295 @t206))) % 0.75/0.93 (step @p813 :rule bool-double-not-elim :args (@t300)) % 0.75/0.93 (step @p814 :rule refl :args (@t302)) % 0.75/0.93 (step @p815 :rule nary_cong :premises (@p814 @p813) :args ((or @t302 (not @t301)))) % 0.75/0.93 (step @p816 :rule cnf_or_neg :args (@t302 0)) % 0.75/0.93 (step @p817 :rule eq_resolve :premises (@p816 @p815)) % 0.75/0.93 (step @p818 :rule reordering :premises (@p817) :args ((or 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0.75/0.93 (step @p831 :rule chain_m_resolution :premises (@p830 @p828 @p637) :args (@t317 @t290 (@list @t313 @t318))) % 0.75/0.93 (step @p832 :rule cnf_equiv_pos1 :args (@t317)) % 0.75/0.93 (step @p833 :rule reordering :premises (@p832) :args ((or @t372 @t311 @t371))) % 0.75/0.93 (step @p834 :rule refl :args (@t373)) % 0.75/0.93 (step @p835 :rule refl :args (@t374)) % 0.75/0.93 (step @p836 :rule refl :args (@t375)) % 0.75/0.93 (step @p837 :rule refl :args (@t377)) % 0.75/0.93 (step @p838 :rule refl :args (@t380)) % 0.75/0.93 (step @p839 :rule refl :args (@t381)) % 0.75/0.93 (step @p840 :rule bool-double-not-elim :args (@t297)) % 0.75/0.93 (step @p841 :rule nary_cong :premises (@p840 @p839 @p838 @p837 @p836 @p835 @p834) :args ((or (not @t382) @t381 @t380 @t377 @t375 @t374 @t373))) % 0.75/0.93 (assume-push @p934 @t382) % 0.75/0.93 (assume-push @p935 @t216) % 0.75/0.93 (assume-push @p936 @t379) % 0.75/0.93 (assume-push @p937 @t376) % 0.75/0.93 (assume-push @p938 @t287) % 0.75/0.93 (assume-push @p939 @t239) % 0.75/0.93 (assume-push @p940 @t382) % 0.75/0.93 (assume-push @p941 @t216) % 0.75/0.93 (assume-push @p942 @t376) % 0.75/0.93 (assume-push @p943 @t379) % 0.75/0.93 (assume-push @p944 @t287) % 0.75/0.93 (assume-push @p945 @t239) % 0.75/0.93 (step @p854 :rule false_intro :premises (@p934)) % 0.75/0.93 (step @p120 :rule instantiate :premises (@p115) :args (@t215)) % 0.75/0.93 (step @p855 :rule symm :premises (@p241)) % 0.75/0.93 (step @p856 :rule cong :premises (@p125) :args (@t378)) % 0.75/0.93 (step @p857 :rule symm :premises (@p218)) % 0.75/0.93 (step @p858 :rule trans :premises (@p857 @p856 @p855)) % 0.75/0.93 (step @p859 :rule cong :premises (@p858) :args (@t286)) % 0.75/0.93 (step @p860 :rule cong :premises (@p439 @p274) :args (@t278)) % 0.75/0.93 (step @p861 :rule trans :premises (@p860 @p446 @p859 @p120)) % 0.75/0.93 (step @p862 :rule cong :premises (@p824 @p861) :args (@t310)) % 0.75/0.93 (step @p863 :rule cong :premises (@p862) :args (@t311)) % 0.75/0.93 (step @p864 :rule trans :premises (@p863 @p854)) % 0.75/0.93 (step @p865 :rule false_elim :premises (@p864)) % 0.75/0.93 (step-pop @p946 :rule scope :premises (@p865)) % 0.75/0.93 (step-pop @p947 :rule scope :premises (@p946)) % 0.75/0.93 (step-pop @p948 :rule scope :premises (@p947)) % 0.75/0.93 (step-pop @p949 :rule scope :premises (@p948)) % 0.75/0.93 (step-pop @p950 :rule scope :premises (@p949)) % 0.75/0.93 (step-pop @p951 :rule scope :premises (@p950)) % 0.75/0.93 (step @p866 :rule process_scope :premises (@p951) :args (@t373)) % 0.75/0.93 (step @p873 :rule and_intro :premises (@p934 @p125 @p241 @p218 @p446 @p279)) % 0.75/0.93 (step @p874 :rule modus_ponens :premises (@p873 @p866)) % 0.75/0.93 (step-pop @p952 :rule scope :premises (@p874)) % 0.75/0.93 (step-pop @p953 :rule scope :premises (@p952)) % 0.75/0.93 (step-pop @p954 :rule scope :premises (@p953)) % 0.75/0.93 (step-pop @p955 :rule scope :premises (@p954)) % 0.75/0.93 (step-pop @p956 :rule scope :premises (@p955)) % 0.75/0.93 (step-pop @p957 :rule scope :premises (@p956)) % 0.75/0.93 (step @p875 :rule process_scope :premises (@p957) :args (@t373)) % 0.75/0.93 (step @p882 :rule implies_elim :premises (@p875)) % 0.75/0.93 (step @p883 :rule cnf_and_neg :args (@t383)) % 0.75/0.93 (step @p884 :rule resolution :premises (@p883 @p882) :args (true @t383)) % 0.75/0.93 (step @p885 :rule eq_resolve :premises (@p884 @p841)) % 0.75/0.93 (step @p886 :rule chain_m_resolution :premises (@p885 @p446 @p279 @p241 @p218 @p125 @p833 @p831 @p576 @p575) :args (@t372 (@list false false false false false false false true true) (@list @t287 @t239 @t376 @t379 @t216 @t311 @t317 @t297 @t299))) % 0.75/0.93 (step @p887 :rule cnf_equiv_neg1 :args (@t299)) % 0.75/0.93 (step @p888 :rule reordering :premises (@p887) :args ((or @t298 @t297 @t299))) % 0.75/0.93 (step @p889 :rule chain_m_resolution :premises (@p888 @p886 @p575) :args (@t297 (@list true true) (@list @t298 @t299))) % 0.75/0.93 (step @p890 :rule cnf_equiv_pos2 :args (@t317)) % 0.75/0.93 (step @p891 :rule reordering :premises (@p890) :args ((or @t298 @t373 @t371))) % 0.75/0.93 (step @p892 :rule chain_m_resolution :premises (@p891 @p886 @p831) :args (@t373 (@list true false) (@list @t298 @t317))) % 0.75/0.93 (assume-push @p958 @t297) % 0.75/0.93 (assume-push @p959 @t216) % 0.75/0.93 (assume-push @p960 @t379) % 0.75/0.93 (assume-push @p961 @t376) % 0.75/0.93 (assume-push @p962 @t287) % 0.75/0.93 (assume-push @p963 @t239) % 0.75/0.93 (assume-push @p964 @t297) % 0.75/0.93 (assume-push @p965 @t216) % 0.75/0.93 (assume-push @p966 @t376) % 0.75/0.93 (assume-push @p967 @t379) % 0.75/0.93 (assume-push @p968 @t287) % 0.75/0.93 (assume-push @p969 @t239) % 0.75/0.93 (step @p905 :rule true_intro :premises (@p958)) % 0.75/0.93 (step @p120 :rule instantiate :premises (@p115) :args (@t215)) % 0.75/0.93 (step @p855 :rule symm :premises (@p241)) % 0.75/0.93 (step @p856 :rule cong :premises (@p125) :args (@t378)) % 0.75/0.93 (step @p857 :rule symm :premises (@p218)) % 0.75/0.93 (step @p858 :rule trans :premises (@p857 @p856 @p855)) % 0.75/0.93 (step @p859 :rule cong :premises (@p858) :args (@t286)) % 0.75/0.93 (step @p860 :rule cong :premises (@p439 @p274) :args (@t278)) % 0.75/0.93 (step @p861 :rule trans :premises (@p860 @p446 @p859 @p120)) % 0.75/0.93 (step @p862 :rule cong :premises (@p824 @p861) :args (@t310)) % 0.75/0.93 (step @p863 :rule cong :premises (@p862) :args (@t311)) % 0.75/0.93 (step @p906 :rule trans :premises (@p863 @p905)) % 0.75/0.93 (step @p907 :rule true_elim :premises (@p906)) % 0.75/0.93 (step-pop @p970 :rule scope :premises (@p907)) % 0.75/0.93 (step-pop @p971 :rule scope :premises (@p970)) % 0.75/0.93 (step-pop @p972 :rule scope :premises (@p971)) % 0.75/0.93 (step-pop @p973 :rule scope :premises (@p972)) % 0.75/0.93 (step-pop @p974 :rule scope :premises (@p973)) % 0.75/0.93 (step-pop @p975 :rule scope :premises (@p974)) % 0.75/0.93 (step @p908 :rule process_scope :premises (@p975) :args (@t311)) % 0.75/0.93 (step @p915 :rule and_intro :premises (@p958 @p125 @p241 @p218 @p446 @p279)) % 0.75/0.93 (step @p916 :rule modus_ponens :premises (@p915 @p908)) % 0.75/0.93 (step-pop @p976 :rule scope :premises (@p916)) % 0.75/0.93 (step-pop @p977 :rule scope :premises (@p976)) % 0.75/0.93 (step-pop @p978 :rule scope :premises (@p977)) % 0.75/0.93 (step-pop @p979 :rule scope :premises (@p978)) % 0.75/0.93 (step-pop @p980 :rule scope :premises (@p979)) % 0.75/0.93 (step-pop @p981 :rule scope :premises (@p980)) % 0.75/0.93 (step @p917 :rule process_scope :premises (@p981) :args (@t311)) % 0.75/0.93 (step @p924 :rule implies_elim :premises (@p917)) % 0.75/0.93 (step @p925 :rule cnf_and_neg :args (@t384)) % 0.75/0.93 (step @p926 :rule resolution :premises (@p925 @p924) :args (true @t384)) % 0.75/0.93 (step @p927 false :rule chain_m_resolution :premises (@p926 @p892 @p889 @p446 @p279 @p241 @p218 @p125) :args (false (@list true false false false false false false) (@list @t311 @t297 @t287 @t239 @t376 @t379 @t216))) % 0.75/0.93 ) % 0.75/0.93 % SZS output end Proof % 0.75/0.93 % cvc5 exiting %------------------------------------------------------------------------------