%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP079+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:36:33 AM UTC 2026 % Result : Theorem 0.38s 0.62s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NLP079+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n028.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 10:00:20 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.62 % SZS status Theorem % 0.38/0.62 % SZS output start Proof % 0.38/0.62 ( % 0.38/0.62 (declare-sort $$unsorted 0) % 0.38/0.62 (declare-const tptp.actual_world (-> $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.male (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.man (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.cannon (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.fire (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.from_loc (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.of (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.revenge (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.scream (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.member (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.nonreflexive (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.present (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.patient (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.agent (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.event (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.cry (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.shot (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.group (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.six (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (define @t1 () (@var "Z" $$unsorted)) % 0.38/0.62 (define @t2 () (@var "X2" $$unsorted)) % 0.38/0.62 (define @t3 () (@var "U" $$unsorted)) % 0.38/0.62 (define @t4 () (tptp.of @t3 @t2 @t1)) % 0.38/0.62 (define @t5 () (tptp.scream @t3 @t2)) % 0.38/0.62 (define @t6 () (tptp.nonreflexive @t3 @t2)) % 0.38/0.62 (define @t7 () (tptp.present @t3 @t2)) % 0.38/0.62 (define @t8 () (@var "X1" $$unsorted)) % 0.38/0.62 (define @t9 () (tptp.patient @t3 @t2 @t8)) % 0.38/0.62 (define @t10 () (@var "V" $$unsorted)) % 0.38/0.62 (define @t11 () (tptp.agent @t3 @t2 @t10)) % 0.38/0.62 (define @t12 () (tptp.event @t3 @t2)) % 0.38/0.62 (define @t13 () (tptp.cry @t3 @t8)) % 0.38/0.62 (define @t14 () (tptp.revenge @t3 @t1)) % 0.38/0.62 (define @t15 () (@var "X5" $$unsorted)) % 0.38/0.62 (define @t16 () (tptp.shot @t3 @t15)) % 0.38/0.62 (define @t17 () (@var "Y" $$unsorted)) % 0.38/0.62 (define @t18 () (tptp.member @t3 @t15 @t17)) % 0.38/0.62 (define @t19 () (@list @t15)) % 0.38/0.62 (define @t20 () (forall @t19 (=> @t18 @t16))) % 0.38/0.62 (define @t21 () (tptp.group @t3 @t17)) % 0.38/0.62 (define @t22 () (tptp.six @t3 @t17)) % 0.38/0.62 (define @t23 () (@var "X" $$unsorted)) % 0.38/0.62 (define @t24 () (@var "X4" $$unsorted)) % 0.38/0.62 (define @t25 () (tptp.from_loc @t3 @t24 @t23)) % 0.38/0.62 (define @t26 () (tptp.fire @t3 @t24)) % 0.38/0.62 (define @t27 () (tptp.nonreflexive @t3 @t24)) % 0.38/0.62 (define @t28 () (tptp.present @t3 @t24)) % 0.38/0.62 (define @t29 () (@var "X3" $$unsorted)) % 0.38/0.62 (define @t30 () (tptp.patient @t3 @t24 @t29)) % 0.38/0.62 (define @t31 () (@var "W" $$unsorted)) % 0.38/0.62 (define @t32 () (tptp.agent @t3 @t24 @t31)) % 0.38/0.62 (define @t33 () (tptp.event @t3 @t24)) % 0.38/0.62 (define @t34 () (and @t33 @t32 @t30 @t28 @t27 @t26 @t25)) % 0.38/0.62 (define @t35 () (@list @t24)) % 0.38/0.62 (define @t36 () (exists @t35 @t34)) % 0.38/0.62 (define @t37 () (tptp.member @t3 @t29 @t17)) % 0.38/0.62 (define @t38 () (=> @t37 @t36)) % 0.38/0.62 (define @t39 () (@list @t29)) % 0.38/0.62 (define @t40 () (forall @t39 @t38)) % 0.38/0.62 (define @t41 () (tptp.cannon @t3 @t23)) % 0.38/0.62 (define @t42 () (tptp.of @t3 @t23 @t31)) % 0.38/0.62 (define @t43 () (tptp.man @t3 @t31)) % 0.38/0.62 (define @t44 () (tptp.male @t3 @t31)) % 0.38/0.62 (define @t45 () (tptp.male @t3 @t10)) % 0.38/0.62 (define @t46 () (and @t45 @t44 @t43 @t42 @t41 @t40 @t22 @t21 @t20 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4)) % 0.38/0.62 (define @t47 () (@list @t10 @t31 @t23 @t17 @t1 @t8 @t2)) % 0.38/0.62 (define @t48 () (exists @t47 @t46)) % 0.38/0.62 (define @t49 () (tptp.actual_world @t3)) % 0.38/0.62 (define @t50 () (and @t49 @t48)) % 0.38/0.62 (define @t51 () (@list @t3)) % 0.38/0.62 (define @t52 () (exists @t51 @t50)) % 0.38/0.62 (define @t53 () (@var "X12" $$unsorted)) % 0.38/0.62 (define @t54 () (@var "X13" $$unsorted)) % 0.38/0.62 (define @t55 () (@var "X6" $$unsorted)) % 0.38/0.62 (define @t56 () (tptp.of @t55 @t54 @t53)) % 0.38/0.62 (define @t57 () (tptp.scream @t55 @t54)) % 0.38/0.62 (define @t58 () (tptp.nonreflexive @t55 @t54)) % 0.38/0.62 (define @t59 () (tptp.present @t55 @t54)) % 0.38/0.62 (define @t60 () (@var "X11" $$unsorted)) % 0.38/0.62 (define @t61 () (tptp.patient @t55 @t54 @t60)) % 0.38/0.62 (define @t62 () (@var "X7" $$unsorted)) % 0.38/0.62 (define @t63 () (tptp.agent @t55 @t54 @t62)) % 0.38/0.62 (define @t64 () (tptp.event @t55 @t54)) % 0.38/0.62 (define @t65 () (tptp.revenge @t55 @t53)) % 0.38/0.62 (define @t66 () (tptp.cry @t55 @t60)) % 0.38/0.62 (define @t67 () (@var "X16" $$unsorted)) % 0.38/0.62 (define @t68 () (tptp.shot @t55 @t67)) % 0.38/0.62 (define @t69 () (@var "X10" $$unsorted)) % 0.38/0.62 (define @t70 () (tptp.member @t55 @t67 @t69)) % 0.38/0.62 (define @t71 () (@list @t67)) % 0.38/0.62 (define @t72 () (forall @t71 (=> @t70 @t68))) % 0.38/0.62 (define @t73 () (tptp.group @t55 @t69)) % 0.38/0.62 (define @t74 () (tptp.six @t55 @t69)) % 0.38/0.62 (define @t75 () (@var "X9" $$unsorted)) % 0.38/0.62 (define @t76 () (@var "X15" $$unsorted)) % 0.38/0.62 (define @t77 () (tptp.from_loc @t55 @t76 @t75)) % 0.38/0.62 (define @t78 () (tptp.fire @t55 @t76)) % 0.38/0.62 (define @t79 () (tptp.nonreflexive @t55 @t76)) % 0.38/0.62 (define @t80 () (tptp.present @t55 @t76)) % 0.38/0.62 (define @t81 () (@var "X14" $$unsorted)) % 0.38/0.62 (define @t82 () (tptp.patient @t55 @t76 @t81)) % 0.38/0.62 (define @t83 () (@var "X8" $$unsorted)) % 0.38/0.62 (define @t84 () (tptp.agent @t55 @t76 @t83)) % 0.38/0.62 (define @t85 () (tptp.event @t55 @t76)) % 0.38/0.62 (define @t86 () (and @t85 @t84 @t82 @t80 @t79 @t78 @t77)) % 0.38/0.62 (define @t87 () (@list @t76)) % 0.38/0.62 (define @t88 () (exists @t87 @t86)) % 0.38/0.62 (define @t89 () (tptp.member @t55 @t81 @t69)) % 0.38/0.62 (define @t90 () (=> @t89 @t88)) % 0.38/0.62 (define @t91 () (@list @t81)) % 0.38/0.62 (define @t92 () (forall @t91 @t90)) % 0.38/0.62 (define @t93 () (tptp.cannon @t55 @t75)) % 0.38/0.62 (define @t94 () (tptp.of @t55 @t75 @t83)) % 0.38/0.62 (define @t95 () (tptp.man @t55 @t83)) % 0.38/0.62 (define @t96 () (tptp.male @t55 @t83)) % 0.38/0.62 (define @t97 () (tptp.male @t55 @t62)) % 0.38/0.62 (define @t98 () (and @t97 @t96 @t95 @t94 @t93 @t92 @t74 @t73 @t72 @t66 @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56)) % 0.38/0.62 (define @t99 () (@list @t62 @t83 @t75 @t69 @t60 @t53 @t54)) % 0.38/0.62 (define @t100 () (exists @t99 @t98)) % 0.38/0.62 (define @t101 () (tptp.actual_world @t55)) % 0.38/0.62 (define @t102 () (and @t101 @t100)) % 0.38/0.62 (define @t103 () (@list @t55)) % 0.38/0.62 (define @t104 () (exists @t103 @t102)) % 0.38/0.62 (define @t105 () (=> @t104 @t52)) % 0.38/0.62 (define @t106 () (=> @t52 @t104)) % 0.38/0.62 (define @t107 () (and @t106 @t105)) % 0.38/0.62 (define @t108 () (not @t107)) % 0.38/0.62 (define @t109 () (not (not @t108))) % 0.38/0.62 (define @t110 () (@var "BOUND_VARIABLE_7776" $$unsorted)) % 0.38/0.62 (define @t111 () (@var "BOUND_VARIABLE_7778" $$unsorted)) % 0.38/0.62 (define @t112 () (not (tptp.of @t55 @t111 @t110))) % 0.38/0.62 (define @t113 () (not (tptp.scream @t55 @t111))) % 0.38/0.62 (define @t114 () (not (tptp.nonreflexive @t55 @t111))) % 0.38/0.62 (define @t115 () (not (tptp.present @t55 @t111))) % 0.38/0.62 (define @t116 () (@var "BOUND_VARIABLE_7774" $$unsorted)) % 0.38/0.62 (define @t117 () (not (tptp.patient @t55 @t111 @t116))) % 0.38/0.62 (define @t118 () (@var "BOUND_VARIABLE_7772" $$unsorted)) % 0.38/0.62 (define @t119 () (not (tptp.agent @t55 @t111 @t118))) % 0.38/0.62 (define @t120 () (not (tptp.event @t55 @t111))) % 0.38/0.62 (define @t121 () (not (tptp.male @t55 @t118))) % 0.38/0.62 (define @t122 () (not (tptp.cry @t55 @t116))) % 0.38/0.62 (define @t123 () (not (tptp.revenge @t55 @t110))) % 0.38/0.62 (define @t124 () (@var "BOUND_VARIABLE_7740" $$unsorted)) % 0.38/0.62 (define @t125 () (not (forall @t71 (or (not (tptp.member @t55 @t67 @t124)) @t68)))) % 0.38/0.62 (define @t126 () (not (tptp.group @t55 @t124))) % 0.38/0.62 (define @t127 () (not (tptp.six @t55 @t124))) % 0.38/0.62 (define @t128 () (@var "BOUND_VARIABLE_7738" $$unsorted)) % 0.38/0.62 (define @t129 () (not @t78)) % 0.38/0.62 (define @t130 () (not @t79)) % 0.38/0.62 (define @t131 () (not @t80)) % 0.38/0.62 (define @t132 () (not @t82)) % 0.38/0.62 (define @t133 () (@var "BOUND_VARIABLE_7736" $$unsorted)) % 0.38/0.62 (define @t134 () (not @t85)) % 0.38/0.62 (define @t135 () (not (forall @t91 (or (not (tptp.member @t55 @t81 @t124)) (not (forall @t87 (or @t134 (not (tptp.agent @t55 @t76 @t133)) @t132 @t131 @t130 @t129 (not (tptp.from_loc @t55 @t76 @t128))))))))) % 0.38/0.62 (define @t136 () (not (tptp.cannon @t55 @t128))) % 0.38/0.62 (define @t137 () (not (tptp.of @t55 @t128 @t133))) % 0.38/0.62 (define @t138 () (not (tptp.man @t55 @t133))) % 0.38/0.62 (define @t139 () (not (tptp.male @t55 @t133))) % 0.38/0.62 (define @t140 () (not @t101)) % 0.38/0.62 (define @t141 () (or @t140 @t139 @t138 @t137 @t136 @t135 @t127 @t126 @t125 @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t114 @t113 @t112)) % 0.38/0.62 (define @t142 () (@list @t55 @t133 @t128 @t124 @t118 @t116 @t110 @t111)) % 0.38/0.62 (define @t143 () (forall @t142 @t141)) % 0.38/0.62 (define @t144 () (@var "BOUND_VARIABLE_7641" $$unsorted)) % 0.38/0.62 (define @t145 () (@var "BOUND_VARIABLE_7645" $$unsorted)) % 0.38/0.62 (define @t146 () (not (tptp.of @t3 @t145 @t144))) % 0.38/0.62 (define @t147 () (not (tptp.scream @t3 @t145))) % 0.38/0.62 (define @t148 () (not (tptp.nonreflexive @t3 @t145))) % 0.38/0.62 (define @t149 () (not (tptp.present @t3 @t145))) % 0.38/0.62 (define @t150 () (@var "BOUND_VARIABLE_7643" $$unsorted)) % 0.38/0.62 (define @t151 () (not (tptp.patient @t3 @t145 @t150))) % 0.38/0.62 (define @t152 () (@var "BOUND_VARIABLE_7639" $$unsorted)) % 0.38/0.62 (define @t153 () (not (tptp.agent @t3 @t145 @t152))) % 0.38/0.62 (define @t154 () (not (tptp.event @t3 @t145))) % 0.38/0.62 (define @t155 () (not (tptp.male @t3 @t152))) % 0.38/0.62 (define @t156 () (not (tptp.cry @t3 @t150))) % 0.38/0.62 (define @t157 () (not (tptp.revenge @t3 @t144))) % 0.38/0.62 (define @t158 () (@var "BOUND_VARIABLE_7607" $$unsorted)) % 0.38/0.62 (define @t159 () (not (forall @t19 (or (not (tptp.member @t3 @t15 @t158)) @t16)))) % 0.38/0.62 (define @t160 () (not (tptp.group @t3 @t158))) % 0.38/0.62 (define @t161 () (not (tptp.six @t3 @t158))) % 0.38/0.62 (define @t162 () (@var "BOUND_VARIABLE_7605" $$unsorted)) % 0.38/0.62 (define @t163 () (not @t26)) % 0.38/0.62 (define @t164 () (not @t27)) % 0.38/0.62 (define @t165 () (not @t28)) % 0.38/0.62 (define @t166 () (not @t30)) % 0.38/0.62 (define @t167 () (@var "BOUND_VARIABLE_7603" $$unsorted)) % 0.38/0.62 (define @t168 () (not @t33)) % 0.38/0.62 (define @t169 () (not (forall @t39 (or (not (tptp.member @t3 @t29 @t158)) (not (forall @t35 (or @t168 (not (tptp.agent @t3 @t24 @t167)) @t166 @t165 @t164 @t163 (not (tptp.from_loc @t3 @t24 @t162))))))))) % 0.38/0.62 (define @t170 () (not (tptp.cannon @t3 @t162))) % 0.38/0.62 (define @t171 () (not (tptp.of @t3 @t162 @t167))) % 0.38/0.62 (define @t172 () (not (tptp.man @t3 @t167))) % 0.38/0.62 (define @t173 () (not (tptp.male @t3 @t167))) % 0.38/0.62 (define @t174 () (not @t49)) % 0.38/0.62 (define @t175 () (or @t174 @t173 @t172 @t171 @t170 @t169 @t161 @t160 @t159 @t157 @t156 @t155 @t154 @t153 @t151 @t149 @t148 @t147 @t146)) % 0.38/0.62 (define @t176 () (@list @t3 @t167 @t162 @t158 @t152 @t144 @t150 @t145)) % 0.38/0.62 (define @t177 () (forall @t176 @t175)) % 0.38/0.62 (define @t178 () (not @t177)) % 0.38/0.62 (define @t179 () (not @t143)) % 0.38/0.62 (define @t180 () (=> @t179 @t178)) % 0.38/0.62 (define @t181 () (=> @t178 @t179)) % 0.38/0.62 (define @t182 () (or @t157 @t156 @t155 @t154 @t153 @t151 @t149 @t148 @t147 @t146)) % 0.38/0.62 (define @t183 () (or @t173 @t172 @t171 @t170 @t169 @t161 @t160 @t159)) % 0.38/0.62 (define @t184 () (or @t174 @t183 @t182)) % 0.38/0.62 (define @t185 () (forall @t176 @t184)) % 0.38/0.62 (define @t186 () (forall (@list @t167 @t162 @t158 @t152 @t144 @t150 @t145) @t184)) % 0.38/0.62 (define @t187 () (forall (@list @t152 @t144 @t150 @t145) @t182)) % 0.38/0.62 (define @t188 () (forall (@list @t167 @t162 @t158) @t183)) % 0.38/0.62 (define @t189 () (or @t174 @t188 @t187)) % 0.38/0.62 (define @t190 () (not @t4)) % 0.38/0.62 (define @t191 () (not @t5)) % 0.38/0.62 (define @t192 () (not @t6)) % 0.38/0.62 (define @t193 () (not @t7)) % 0.38/0.62 (define @t194 () (not @t9)) % 0.38/0.62 (define @t195 () (not @t11)) % 0.38/0.62 (define @t196 () (not @t12)) % 0.38/0.62 (define @t197 () (not @t45)) % 0.38/0.62 (define @t198 () (not @t13)) % 0.38/0.62 (define @t199 () (not @t14)) % 0.38/0.62 (define @t200 () (or @t199 @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t191 @t190)) % 0.38/0.62 (define @t201 () (forall (@list @t10 @t1 @t8 @t2) @t200)) % 0.38/0.62 (define @t202 () (forall @t19 (or (not @t18) @t16))) % 0.38/0.62 (define @t203 () (not @t202)) % 0.38/0.62 (define @t204 () (not @t21)) % 0.38/0.62 (define @t205 () (not @t22)) % 0.38/0.62 (define @t206 () (not @t25)) % 0.38/0.62 (define @t207 () (not @t32)) % 0.38/0.62 (define @t208 () (or @t168 @t207 @t166 @t165 @t164 @t163 @t206)) % 0.38/0.62 (define @t209 () (not (forall @t35 @t208))) % 0.38/0.62 (define @t210 () (forall @t39 (or (not @t37) @t209))) % 0.38/0.62 (define @t211 () (not @t210)) % 0.38/0.62 (define @t212 () (not @t41)) % 0.38/0.62 (define @t213 () (not @t42)) % 0.38/0.62 (define @t214 () (not @t43)) % 0.38/0.62 (define @t215 () (not @t44)) % 0.38/0.62 (define @t216 () (or @t215 @t214 @t213 @t212 @t211 @t205 @t204 @t203)) % 0.38/0.62 (define @t217 () (forall (@list @t31 @t23 @t17) @t216)) % 0.38/0.62 (define @t218 () (or @t174 @t217 @t201)) % 0.38/0.62 (define @t219 () (or @t217 @t201)) % 0.38/0.62 (define @t220 () (not @t219)) % 0.38/0.62 (define @t221 () (and @t49 @t220)) % 0.38/0.62 (define @t222 () (forall @t51 (not @t221))) % 0.38/0.62 (define @t223 () (not @t222)) % 0.38/0.62 (define @t224 () (or @t216 @t200)) % 0.38/0.62 (define @t225 () (@list @t31 @t23 @t17 @t10 @t1 @t8 @t2)) % 0.38/0.62 (define @t226 () (or @t197 @t215 @t214 @t213 @t212 @t211 @t205 @t204 @t203 @t199 @t198 @t196 @t195 @t194 @t193 @t192 @t191 @t190)) % 0.38/0.62 (define @t227 () (forall @t225 @t226)) % 0.38/0.62 (define @t228 () (and @t45 @t44 @t43 @t42 @t41 @t210 @t22 @t21 @t202 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4)) % 0.38/0.62 (define @t229 () (forall @t47 (not @t228))) % 0.38/0.62 (define @t230 () (not @t229)) % 0.38/0.62 (define @t231 () (forall @t35 (not @t34))) % 0.38/0.62 (define @t232 () (not @t231)) % 0.38/0.62 (define @t233 () (or @t123 @t122 @t121 @t120 @t119 @t117 @t115 @t114 @t113 @t112)) % 0.38/0.62 (define @t234 () (or @t139 @t138 @t137 @t136 @t135 @t127 @t126 @t125)) % 0.38/0.62 (define @t235 () (or @t140 @t234 @t233)) % 0.38/0.62 (define @t236 () (forall @t142 @t235)) % 0.38/0.62 (define @t237 () (forall (@list @t133 @t128 @t124 @t118 @t116 @t110 @t111) @t235)) % 0.38/0.62 (define @t238 () (forall (@list @t118 @t116 @t110 @t111) @t233)) % 0.38/0.62 (define @t239 () (forall (@list @t133 @t128 @t124) @t234)) % 0.38/0.62 (define @t240 () (or @t140 @t239 @t238)) % 0.38/0.62 (define @t241 () (not @t56)) % 0.38/0.62 (define @t242 () (not @t57)) % 0.38/0.62 (define @t243 () (not @t58)) % 0.38/0.62 (define @t244 () (not @t59)) % 0.38/0.62 (define @t245 () (not @t61)) % 0.38/0.62 (define @t246 () (not @t63)) % 0.38/0.62 (define @t247 () (not @t64)) % 0.38/0.62 (define @t248 () (not @t97)) % 0.38/0.62 (define @t249 () (not @t66)) % 0.38/0.62 (define @t250 () (not @t65)) % 0.38/0.62 (define @t251 () (or @t250 @t249 @t248 @t247 @t246 @t245 @t244 @t243 @t242 @t241)) % 0.38/0.62 (define @t252 () (forall (@list @t62 @t60 @t53 @t54) @t251)) % 0.38/0.62 (define @t253 () (forall @t71 (or (not @t70) @t68))) % 0.38/0.62 (define @t254 () (not @t253)) % 0.38/0.62 (define @t255 () (not @t73)) % 0.38/0.62 (define @t256 () (not @t74)) % 0.38/0.62 (define @t257 () (not @t77)) % 0.38/0.62 (define @t258 () (not @t84)) % 0.38/0.62 (define @t259 () (or @t134 @t258 @t132 @t131 @t130 @t129 @t257)) % 0.38/0.62 (define @t260 () (not (forall @t87 @t259))) % 0.38/0.62 (define @t261 () (forall @t91 (or (not @t89) @t260))) % 0.38/0.62 (define @t262 () (not @t261)) % 0.38/0.62 (define @t263 () (not @t93)) % 0.38/0.62 (define @t264 () (not @t94)) % 0.38/0.62 (define @t265 () (not @t95)) % 0.38/0.62 (define @t266 () (not @t96)) % 0.38/0.62 (define @t267 () (or @t266 @t265 @t264 @t263 @t262 @t256 @t255 @t254)) % 0.38/0.62 (define @t268 () (forall (@list @t83 @t75 @t69) @t267)) % 0.38/0.62 (define @t269 () (or @t140 @t268 @t252)) % 0.38/0.62 (define @t270 () (or @t268 @t252)) % 0.38/0.62 (define @t271 () (not @t270)) % 0.38/0.62 (define @t272 () (and @t101 @t271)) % 0.38/0.62 (define @t273 () (forall @t103 (not @t272))) % 0.38/0.62 (define @t274 () (not @t273)) % 0.38/0.62 (define @t275 () (or @t267 @t251)) % 0.38/0.62 (define @t276 () (@list @t83 @t75 @t69 @t62 @t60 @t53 @t54)) % 0.38/0.62 (define @t277 () (or @t248 @t266 @t265 @t264 @t263 @t262 @t256 @t255 @t254 @t249 @t250 @t247 @t246 @t245 @t244 @t243 @t242 @t241)) % 0.38/0.62 (define @t278 () (forall @t276 @t277)) % 0.38/0.62 (define @t279 () (and @t97 @t96 @t95 @t94 @t93 @t261 @t74 @t73 @t253 @t66 @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56)) % 0.38/0.62 (define @t280 () (forall @t99 (not @t279))) % 0.38/0.62 (define @t281 () (not @t280)) % 0.38/0.62 (define @t282 () (forall @t87 (not @t86))) % 0.38/0.62 (define @t283 () (not @t282)) % 0.38/0.62 (define @t284 () (@list false)) % 0.38/0.62 (define @t285 () (@list @t177)) % 0.38/0.62 (assume @p1 @t109) % 0.38/0.62 (assume @p2 true) % 0.38/0.62 (step @p3 :rule quant_var_reordering :args ((= (forall (@list @t55 @t133 @t128 @t124 @t118 @t110 @t116 @t111) @t141) @t143))) % 0.38/0.62 (step @p4 :rule alpha_equiv :args (@t177 (@list @t3 @t167 @t152 @t144 @t162 @t145 @t150 @t29 @t24 @t158 @t15) (@list @t55 @t133 @t118 @t110 @t128 @t111 @t116 @t81 @t76 @t124 @t67))) % 0.38/0.62 (step @p5 :rule trans :premises (@p4 @p3)) % 0.38/0.62 (step @p6 :rule equiv_elim2 :premises (@p5)) % 0.38/0.62 (step @p7 :rule bool-double-not-elim :args (@t177)) % 0.38/0.62 (step @p8 :rule refl :args (@t180)) % 0.38/0.62 (step @p9 :rule nary_cong :premises (@p8 @p7) :args ((or @t180 (not @t178)))) % 0.38/0.62 (step @p10 :rule cnf_implies_neg2 :args (@t180)) % 0.38/0.62 (step @p11 :rule eq_resolve :premises (@p10 @p9)) % 0.38/0.62 (step @p12 :rule reordering :premises (@p11) :args ((or @t177 @t180))) % 0.38/0.62 (step @p13 :rule bool-double-not-elim :args (@t143)) % 0.38/0.62 (step @p14 :rule refl :args (@t181)) % 0.38/0.62 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or @t181 (not @t179)))) % 0.38/0.62 (step @p16 :rule cnf_implies_neg2 :args (@t181)) % 0.38/0.62 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.38/0.62 (step @p18 :rule reordering :premises (@p17) :args ((or @t143 @t181))) % 0.38/0.62 (step @p19 :rule aci_norm :args ((= @t184 @t175))) % 0.38/0.62 (step @p20 :rule cong :premises (@p19) :args (@t185)) % 0.38/0.62 (step @p21 :rule quant-merge-prenex :args ((= (forall @t51 @t186) @t185))) % 0.38/0.62 (step @p22 :rule alpha_equiv :args (@t187 (@list @t152 @t144 @t150 @t145) (@list @t10 @t1 @t8 @t2))) % 0.38/0.62 (step @p23 :rule alpha_equiv :args (@t188 (@list @t167 @t162 @t158) (@list @t31 @t23 @t17))) % 0.38/0.62 (step @p24 :rule refl :args (@t174)) % 0.38/0.62 (step @p25 :rule nary_cong :premises (@p24 @p23 @p22) :args (@t189)) % 0.38/0.62 (step @p26 :rule quant-miniscope-or :args ((= @t186 @t189))) % 0.38/0.62 (step @p27 :rule trans :premises (@p26 @p25)) % 0.38/0.62 (step @p28 :rule symm :premises (@p27)) % 0.38/0.62 (step @p29 :rule cong :premises (@p28) :args ((forall @t51 @t218))) % 0.38/0.62 (step @p30 :rule trans :premises (@p29 @p21)) % 0.38/0.62 (step @p31 :rule trans :premises (@p30 @p20)) % 0.38/0.62 (step @p32 :rule aci_norm :args ((= (or @t174 @t219) @t218))) % 0.38/0.62 (step @p33 :rule bool-double-not-elim :args (@t219)) % 0.38/0.62 (step @p34 :rule nary_cong :premises (@p24 @p33) :args ((or @t174 (not @t220)))) % 0.38/0.62 (step @p35 :rule bool-and-de-morgan :args (@t49 @t220 true)) % 0.38/0.62 (step @p36 :rule trans :premises (@p35 @p34)) % 0.38/0.62 (step @p37 :rule trans :premises (@p36 @p32)) % 0.38/0.62 (step @p38 :rule cong :premises (@p37) :args (@t222)) % 0.38/0.62 (step @p39 :rule trans :premises (@p38 @p31)) % 0.38/0.62 (step @p40 :rule cong :premises (@p39) :args (@t223)) % 0.38/0.62 (step @p41 :rule exists-elim :args ((= (exists @t51 @t221) @t223))) % 0.38/0.62 (step @p42 :rule trans :premises (@p41 @p40)) % 0.38/0.62 (step @p43 :rule quant-miniscope-or :args ((= (forall @t225 @t224) @t219))) % 0.38/0.62 (step @p44 :rule aci_norm :args ((= @t226 @t224))) % 0.38/0.62 (step @p45 :rule cong :premises (@p44) :args (@t227)) % 0.38/0.62 (step @p46 :rule quant_var_reordering :args ((= (forall @t47 @t226) @t227))) % 0.38/0.62 (step @p47 :rule trans :premises (@p46 @p45 @p43)) % 0.38/0.62 (step @p48 :rule aci_norm :args ((= (or @t197 (or @t215 (or @t214 (or @t213 (or @t212 (or @t211 (or @t205 (or @t204 (or @t203 (or @t199 (or @t198 (or @t196 (or @t195 (or @t194 (or @t193 (or @t192 (or @t191 @t190))))))))))))))))) @t226))) % 0.38/0.62 (step @p49 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.38/0.62 (step @p50 :rule refl :args (@t192)) % 0.38/0.62 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t192 (not (and @t5 @t4))))) % 0.38/0.62 (step @p52 :rule bool-and-de-morgan :args (@t6 @t5 (and @t4))) % 0.38/0.62 (step @p53 :rule trans :premises (@p52 @p51)) % 0.38/0.62 (step @p54 :rule refl :args (@t193)) % 0.38/0.62 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t193 (not (and @t6 @t5 @t4))))) % 0.38/0.62 (step @p56 :rule bool-and-de-morgan :args (@t7 @t6 (and @t5 @t4))) % 0.38/0.62 (step @p57 :rule trans :premises (@p56 @p55)) % 0.38/0.62 (step @p58 :rule refl :args (@t194)) % 0.38/0.62 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t194 (not (and @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p60 :rule bool-and-de-morgan :args (@t9 @t7 (and @t6 @t5 @t4))) % 0.38/0.62 (step @p61 :rule trans :premises (@p60 @p59)) % 0.38/0.62 (step @p62 :rule refl :args (@t195)) % 0.38/0.62 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t195 (not (and @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p64 :rule bool-and-de-morgan :args (@t11 @t9 (and @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p65 :rule trans :premises (@p64 @p63)) % 0.38/0.62 (step @p66 :rule refl :args (@t196)) % 0.38/0.62 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t196 (not (and @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p68 :rule bool-and-de-morgan :args (@t12 @t11 (and @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p69 :rule trans :premises (@p68 @p67)) % 0.38/0.62 (step @p70 :rule refl :args (@t198)) % 0.38/0.62 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t198 (not (and @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p72 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p73 :rule trans :premises (@p72 @p71)) % 0.38/0.62 (step @p74 :rule refl :args (@t199)) % 0.38/0.62 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t199 (not (and @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p76 :rule bool-and-de-morgan :args (@t14 @t13 (and @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p77 :rule trans :premises (@p76 @p75)) % 0.38/0.62 (step @p78 :rule refl :args (@t203)) % 0.38/0.62 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t203 (not (and @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p80 :rule bool-and-de-morgan :args (@t202 @t14 (and @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p81 :rule trans :premises (@p80 @p79)) % 0.38/0.62 (step @p82 :rule refl :args (@t204)) % 0.38/0.62 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t204 (not (and @t202 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p84 :rule bool-and-de-morgan :args (@t21 @t202 (and @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p85 :rule trans :premises (@p84 @p83)) % 0.38/0.62 (step @p86 :rule refl :args (@t205)) % 0.38/0.62 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t205 (not (and @t21 @t202 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p88 :rule bool-and-de-morgan :args (@t22 @t21 (and @t202 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p89 :rule trans :premises (@p88 @p87)) % 0.38/0.62 (step @p90 :rule refl :args (@t211)) % 0.38/0.62 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t211 (not (and @t22 @t21 @t202 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p92 :rule bool-and-de-morgan :args (@t210 @t22 (and @t21 @t202 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p93 :rule trans :premises (@p92 @p91)) % 0.38/0.62 (step @p94 :rule refl :args (@t212)) % 0.38/0.62 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t212 (not (and @t210 @t22 @t21 @t202 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p96 :rule bool-and-de-morgan :args (@t41 @t210 (and @t22 @t21 @t202 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p97 :rule trans :premises (@p96 @p95)) % 0.38/0.62 (step @p98 :rule refl :args (@t213)) % 0.38/0.62 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or @t213 (not (and @t41 @t210 @t22 @t21 @t202 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p100 :rule bool-and-de-morgan :args (@t42 @t41 (and @t210 @t22 @t21 @t202 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p101 :rule trans :premises (@p100 @p99)) % 0.38/0.62 (step @p102 :rule refl :args (@t214)) % 0.38/0.62 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or @t214 (not (and @t42 @t41 @t210 @t22 @t21 @t202 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p104 :rule bool-and-de-morgan :args (@t43 @t42 (and @t41 @t210 @t22 @t21 @t202 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p105 :rule trans :premises (@p104 @p103)) % 0.38/0.62 (step @p106 :rule refl :args (@t215)) % 0.38/0.62 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t215 (not (and @t43 @t42 @t41 @t210 @t22 @t21 @t202 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p108 :rule bool-and-de-morgan :args (@t44 @t43 (and @t42 @t41 @t210 @t22 @t21 @t202 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p109 :rule trans :premises (@p108 @p107)) % 0.38/0.62 (step @p110 :rule refl :args (@t197)) % 0.38/0.62 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t197 (not (and @t44 @t43 @t42 @t41 @t210 @t22 @t21 @t202 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))))) % 0.38/0.62 (step @p112 :rule bool-and-de-morgan :args (@t45 @t44 (and @t43 @t42 @t41 @t210 @t22 @t21 @t202 @t14 @t13 @t12 @t11 @t9 @t7 @t6 @t5 @t4))) % 0.38/0.62 (step @p113 :rule trans :premises (@p112 @p111)) % 0.38/0.62 (step @p114 :rule trans :premises (@p113 @p48)) % 0.38/0.62 (step @p115 :rule cong :premises (@p114) :args (@t229)) % 0.38/0.62 (step @p116 :rule trans :premises (@p115 @p47)) % 0.38/0.62 (step @p117 :rule cong :premises (@p116) :args (@t230)) % 0.38/0.62 (step @p118 :rule exists-elim :args ((= (exists @t47 @t228) @t230))) % 0.38/0.62 (step @p119 :rule trans :premises (@p118 @p117)) % 0.38/0.62 (step @p120 :rule refl :args (@t4)) % 0.38/0.62 (step @p121 :rule refl :args (@t5)) % 0.38/0.62 (step @p122 :rule refl :args (@t6)) % 0.38/0.62 (step @p123 :rule refl :args (@t7)) % 0.38/0.62 (step @p124 :rule refl :args (@t9)) % 0.38/0.62 (step @p125 :rule refl :args (@t11)) % 0.38/0.62 (step @p126 :rule refl :args (@t12)) % 0.38/0.62 (step @p127 :rule refl :args (@t13)) % 0.38/0.62 (step @p128 :rule refl :args (@t14)) % 0.38/0.62 (step @p129 :rule bool-impl-elim :args (@t18 @t16)) % 0.38/0.62 (step @p130 :rule cong :premises (@p129) :args (@t20)) % 0.38/0.62 (step @p131 :rule refl :args (@t21)) % 0.38/0.62 (step @p132 :rule refl :args (@t22)) % 0.38/0.62 (step @p133 :rule bool-impl-elim :args (@t37 @t209)) % 0.38/0.62 (step @p134 :rule cong :premises (@p133) :args ((forall @t39 (=> @t37 @t209)))) % 0.38/0.62 (step @p135 :rule aci_norm :args ((= (or @t168 (or @t207 (or @t166 (or @t165 (or @t164 (or @t163 @t206)))))) @t208))) % 0.38/0.62 (step @p136 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 0.38/0.62 (step @p137 :rule refl :args (@t164)) % 0.38/0.62 (step @p138 :rule nary_cong :premises (@p137 @p136) :args ((or @t164 (not (and @t26 @t25))))) % 0.38/0.62 (step @p139 :rule bool-and-de-morgan :args (@t27 @t26 (and @t25))) % 0.38/0.62 (step @p140 :rule trans :premises (@p139 @p138)) % 0.38/0.62 (step @p141 :rule refl :args (@t165)) % 0.38/0.62 (step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or @t165 (not (and @t27 @t26 @t25))))) % 0.38/0.62 (step @p143 :rule bool-and-de-morgan :args (@t28 @t27 (and @t26 @t25))) % 0.38/0.62 (step @p144 :rule trans :premises (@p143 @p142)) % 0.38/0.62 (step @p145 :rule refl :args (@t166)) % 0.38/0.62 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or @t166 (not (and @t28 @t27 @t26 @t25))))) % 0.38/0.62 (step @p147 :rule bool-and-de-morgan :args (@t30 @t28 (and @t27 @t26 @t25))) % 0.38/0.62 (step @p148 :rule trans :premises (@p147 @p146)) % 0.38/0.62 (step @p149 :rule refl :args (@t207)) % 0.38/0.62 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or @t207 (not (and @t30 @t28 @t27 @t26 @t25))))) % 0.38/0.62 (step @p151 :rule bool-and-de-morgan :args (@t32 @t30 (and @t28 @t27 @t26 @t25))) % 0.38/0.62 (step @p152 :rule trans :premises (@p151 @p150)) % 0.38/0.62 (step @p153 :rule refl :args (@t168)) % 0.38/0.62 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or @t168 (not (and @t32 @t30 @t28 @t27 @t26 @t25))))) % 0.38/0.62 (step @p155 :rule bool-and-de-morgan :args (@t33 @t32 (and @t30 @t28 @t27 @t26 @t25))) % 0.38/0.62 (step @p156 :rule trans :premises (@p155 @p154)) % 0.38/0.62 (step @p157 :rule trans :premises (@p156 @p135)) % 0.38/0.62 (step @p158 :rule cong :premises (@p157) :args (@t231)) % 0.38/0.62 (step @p159 :rule cong :premises (@p158) :args (@t232)) % 0.38/0.62 (step @p160 :rule exists-elim :args ((= @t36 @t232))) % 0.38/0.62 (step @p161 :rule trans :premises (@p160 @p159)) % 0.38/0.62 (step @p162 :rule refl :args (@t37)) % 0.38/0.62 (step @p163 :rule cong :premises (@p162 @p161) :args (@t38)) % 0.38/0.62 (step @p164 :rule cong :premises (@p163) :args (@t40)) % 0.38/0.62 (step @p165 :rule trans :premises (@p164 @p134)) % 0.38/0.62 (step @p166 :rule refl :args (@t41)) % 0.38/0.62 (step @p167 :rule refl :args (@t42)) % 0.38/0.62 (step @p168 :rule refl :args (@t43)) % 0.38/0.62 (step @p169 :rule refl :args (@t44)) % 0.38/0.62 (step @p170 :rule refl :args (@t45)) % 0.38/0.62 (step @p171 :rule nary_cong :premises (@p170 @p169 @p168 @p167 @p166 @p165 @p132 @p131 @p130 @p128 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120) :args (@t46)) % 0.38/0.62 (step @p172 :rule cong :premises (@p171) :args (@t48)) % 0.38/0.62 (step @p173 :rule trans :premises (@p172 @p119)) % 0.38/0.62 (step @p174 :rule refl :args (@t49)) % 0.38/0.62 (step @p175 :rule nary_cong :premises (@p174 @p173) :args (@t50)) % 0.38/0.62 (step @p176 :rule cong :premises (@p175) :args (@t52)) % 0.38/0.62 (step @p177 :rule trans :premises (@p176 @p42)) % 0.38/0.62 (step @p178 :rule aci_norm :args ((= @t235 @t141))) % 0.38/0.62 (step @p179 :rule cong :premises (@p178) :args (@t236)) % 0.38/0.62 (step @p180 :rule quant-merge-prenex :args ((= (forall @t103 @t237) @t236))) % 0.38/0.62 (step @p181 :rule alpha_equiv :args (@t238 (@list @t118 @t116 @t110 @t111) (@list @t62 @t60 @t53 @t54))) % 0.38/0.62 (step @p182 :rule alpha_equiv :args (@t239 (@list @t133 @t128 @t124) (@list @t83 @t75 @t69))) % 0.38/0.62 (step @p183 :rule refl :args (@t140)) % 0.38/0.62 (step @p184 :rule nary_cong :premises (@p183 @p182 @p181) :args (@t240)) % 0.38/0.62 (step @p185 :rule quant-miniscope-or :args ((= @t237 @t240))) % 0.38/0.62 (step @p186 :rule trans :premises (@p185 @p184)) % 0.38/0.62 (step @p187 :rule symm :premises (@p186)) % 0.38/0.62 (step @p188 :rule cong :premises (@p187) :args ((forall @t103 @t269))) % 0.38/0.62 (step @p189 :rule trans :premises (@p188 @p180)) % 0.38/0.62 (step @p190 :rule trans :premises (@p189 @p179)) % 0.38/0.62 (step @p191 :rule aci_norm :args ((= (or @t140 @t270) @t269))) % 0.38/0.62 (step @p192 :rule bool-double-not-elim :args (@t270)) % 0.38/0.62 (step @p193 :rule nary_cong :premises (@p183 @p192) :args ((or @t140 (not @t271)))) % 0.38/0.62 (step @p194 :rule bool-and-de-morgan :args (@t101 @t271 true)) % 0.38/0.62 (step @p195 :rule trans :premises (@p194 @p193)) % 0.38/0.62 (step @p196 :rule trans :premises (@p195 @p191)) % 0.38/0.62 (step @p197 :rule cong :premises (@p196) :args (@t273)) % 0.38/0.62 (step @p198 :rule trans :premises (@p197 @p190)) % 0.38/0.62 (step @p199 :rule cong :premises (@p198) :args (@t274)) % 0.38/0.62 (step @p200 :rule exists-elim :args ((= (exists @t103 @t272) @t274))) % 0.38/0.62 (step @p201 :rule trans :premises (@p200 @p199)) % 0.38/0.62 (step @p202 :rule quant-miniscope-or :args ((= (forall @t276 @t275) @t270))) % 0.38/0.62 (step @p203 :rule aci_norm :args ((= @t277 @t275))) % 0.38/0.62 (step @p204 :rule cong :premises (@p203) :args (@t278)) % 0.38/0.62 (step @p205 :rule quant_var_reordering :args ((= (forall @t99 @t277) @t278))) % 0.38/0.62 (step @p206 :rule trans :premises (@p205 @p204 @p202)) % 0.38/0.62 (step @p207 :rule aci_norm :args ((= (or @t248 (or @t266 (or @t265 (or @t264 (or @t263 (or @t262 (or @t256 (or @t255 (or @t254 (or @t249 (or @t250 (or @t247 (or @t246 (or @t245 (or @t244 (or @t243 (or @t242 @t241))))))))))))))))) @t277))) % 0.38/0.62 (step @p208 :rule bool-and-de-morgan :args (@t57 @t56 true)) % 0.38/0.62 (step @p209 :rule refl :args (@t243)) % 0.38/0.62 (step @p210 :rule nary_cong :premises (@p209 @p208) :args ((or @t243 (not (and @t57 @t56))))) % 0.38/0.62 (step @p211 :rule bool-and-de-morgan :args (@t58 @t57 (and @t56))) % 0.38/0.62 (step @p212 :rule trans :premises (@p211 @p210)) % 0.38/0.62 (step @p213 :rule refl :args (@t244)) % 0.38/0.62 (step @p214 :rule nary_cong :premises (@p213 @p212) :args ((or @t244 (not (and @t58 @t57 @t56))))) % 0.38/0.62 (step @p215 :rule bool-and-de-morgan :args (@t59 @t58 (and @t57 @t56))) % 0.38/0.62 (step @p216 :rule trans :premises (@p215 @p214)) % 0.38/0.62 (step @p217 :rule refl :args (@t245)) % 0.38/0.62 (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((or @t245 (not (and @t59 @t58 @t57 @t56))))) % 0.38/0.62 (step @p219 :rule bool-and-de-morgan :args (@t61 @t59 (and @t58 @t57 @t56))) % 0.38/0.62 (step @p220 :rule trans :premises (@p219 @p218)) % 0.38/0.62 (step @p221 :rule refl :args (@t246)) % 0.38/0.62 (step @p222 :rule nary_cong :premises (@p221 @p220) :args ((or @t246 (not (and @t61 @t59 @t58 @t57 @t56))))) % 0.38/0.62 (step @p223 :rule bool-and-de-morgan :args (@t63 @t61 (and @t59 @t58 @t57 @t56))) % 0.38/0.62 (step @p224 :rule trans :premises (@p223 @p222)) % 0.38/0.62 (step @p225 :rule refl :args (@t247)) % 0.38/0.62 (step @p226 :rule nary_cong :premises (@p225 @p224) :args ((or @t247 (not (and @t63 @t61 @t59 @t58 @t57 @t56))))) % 0.38/0.62 (step @p227 :rule bool-and-de-morgan :args (@t64 @t63 (and @t61 @t59 @t58 @t57 @t56))) % 0.38/0.62 (step @p228 :rule trans :premises (@p227 @p226)) % 0.38/0.62 (step @p229 :rule refl :args (@t250)) % 0.38/0.62 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or @t250 (not (and @t64 @t63 @t61 @t59 @t58 @t57 @t56))))) % 0.38/0.62 (step @p231 :rule bool-and-de-morgan :args (@t65 @t64 (and @t63 @t61 @t59 @t58 @t57 @t56))) % 0.38/0.62 (step @p232 :rule trans :premises (@p231 @p230)) % 0.38/0.62 (step @p233 :rule refl :args (@t249)) % 0.38/0.62 (step @p234 :rule nary_cong :premises (@p233 @p232) :args ((or @t249 (not (and @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56))))) % 0.38/0.62 (step @p235 :rule bool-and-de-morgan :args (@t66 @t65 (and @t64 @t63 @t61 @t59 @t58 @t57 @t56))) % 0.38/0.62 (step @p236 :rule trans :premises (@p235 @p234)) % 0.38/0.62 (step @p237 :rule refl :args (@t254)) % 0.38/0.62 (step @p238 :rule nary_cong :premises (@p237 @p236) :args ((or @t254 (not (and @t66 @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56))))) % 0.38/0.62 (step @p239 :rule bool-and-de-morgan :args (@t253 @t66 (and @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56))) % 0.38/0.62 (step @p240 :rule trans :premises (@p239 @p238)) % 0.38/0.62 (step @p241 :rule refl :args (@t255)) % 0.38/0.62 (step @p242 :rule nary_cong :premises (@p241 @p240) :args ((or @t255 (not (and @t253 @t66 @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56))))) % 0.38/0.62 (step @p243 :rule bool-and-de-morgan :args (@t73 @t253 (and @t66 @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56))) % 0.38/0.62 (step @p244 :rule trans :premises (@p243 @p242)) % 0.38/0.62 (step @p245 :rule refl :args (@t256)) % 0.38/0.62 (step @p246 :rule nary_cong :premises (@p245 @p244) :args ((or @t256 (not (and @t73 @t253 @t66 @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56))))) % 0.38/0.62 (step @p247 :rule bool-and-de-morgan :args (@t74 @t73 (and @t253 @t66 @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56))) % 0.38/0.62 (step @p248 :rule trans :premises (@p247 @p246)) % 0.38/0.62 (step @p249 :rule refl :args (@t262)) % 0.38/0.62 (step @p250 :rule nary_cong :premises (@p249 @p248) :args ((or @t262 (not (and @t74 @t73 @t253 @t66 @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56))))) % 0.38/0.62 (step @p251 :rule bool-and-de-morgan :args (@t261 @t74 (and @t73 @t253 @t66 @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56))) % 0.38/0.62 (step @p252 :rule trans :premises (@p251 @p250)) % 0.38/0.62 (step @p253 :rule refl :args (@t263)) % 0.38/0.62 (step @p254 :rule nary_cong :premises (@p253 @p252) :args ((or @t263 (not (and @t261 @t74 @t73 @t253 @t66 @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56))))) % 0.38/0.62 (step @p255 :rule bool-and-de-morgan :args (@t93 @t261 (and @t74 @t73 @t253 @t66 @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56))) % 0.38/0.62 (step @p256 :rule trans :premises (@p255 @p254)) % 0.38/0.62 (step @p257 :rule refl :args (@t264)) % 0.38/0.62 (step @p258 :rule nary_cong :premises (@p257 @p256) :args ((or @t264 (not (and @t93 @t261 @t74 @t73 @t253 @t66 @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56))))) % 0.38/0.62 (step @p259 :rule bool-and-de-morgan :args (@t94 @t93 (and @t261 @t74 @t73 @t253 @t66 @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56))) % 0.38/0.62 (step @p260 :rule trans :premises (@p259 @p258)) % 0.38/0.62 (step @p261 :rule refl :args (@t265)) % 0.38/0.62 (step @p262 :rule nary_cong :premises (@p261 @p260) :args ((or @t265 (not (and @t94 @t93 @t261 @t74 @t73 @t253 @t66 @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56))))) % 0.38/0.62 (step @p263 :rule bool-and-de-morgan :args (@t95 @t94 (and @t93 @t261 @t74 @t73 @t253 @t66 @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56))) % 0.38/0.62 (step @p264 :rule trans :premises (@p263 @p262)) % 0.38/0.62 (step @p265 :rule refl :args (@t266)) % 0.38/0.62 (step @p266 :rule nary_cong :premises (@p265 @p264) :args ((or @t266 (not (and @t95 @t94 @t93 @t261 @t74 @t73 @t253 @t66 @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56))))) % 0.38/0.62 (step @p267 :rule bool-and-de-morgan :args (@t96 @t95 (and @t94 @t93 @t261 @t74 @t73 @t253 @t66 @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56))) % 0.38/0.62 (step @p268 :rule trans :premises (@p267 @p266)) % 0.38/0.62 (step @p269 :rule refl :args (@t248)) % 0.38/0.62 (step @p270 :rule nary_cong :premises (@p269 @p268) :args ((or @t248 (not (and @t96 @t95 @t94 @t93 @t261 @t74 @t73 @t253 @t66 @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56))))) % 0.38/0.62 (step @p271 :rule bool-and-de-morgan :args (@t97 @t96 (and @t95 @t94 @t93 @t261 @t74 @t73 @t253 @t66 @t65 @t64 @t63 @t61 @t59 @t58 @t57 @t56))) % 0.38/0.62 (step @p272 :rule trans :premises (@p271 @p270)) % 0.38/0.62 (step @p273 :rule trans :premises (@p272 @p207)) % 0.38/0.62 (step @p274 :rule cong :premises (@p273) :args (@t280)) % 0.38/0.62 (step @p275 :rule trans :premises (@p274 @p206)) % 0.38/0.62 (step @p276 :rule cong :premises (@p275) :args (@t281)) % 0.38/0.62 (step @p277 :rule exists-elim :args ((= (exists @t99 @t279) @t281))) % 0.38/0.62 (step @p278 :rule trans :premises (@p277 @p276)) % 0.38/0.62 (step @p279 :rule refl :args (@t56)) % 0.38/0.62 (step @p280 :rule refl :args (@t57)) % 0.38/0.62 (step @p281 :rule refl :args (@t58)) % 0.38/0.62 (step @p282 :rule refl :args (@t59)) % 0.38/0.62 (step @p283 :rule refl :args (@t61)) % 0.38/0.62 (step @p284 :rule refl :args (@t63)) % 0.38/0.62 (step @p285 :rule refl :args (@t64)) % 0.38/0.62 (step @p286 :rule refl :args (@t65)) % 0.38/0.62 (step @p287 :rule refl :args (@t66)) % 0.38/0.62 (step @p288 :rule bool-impl-elim :args (@t70 @t68)) % 0.38/0.62 (step @p289 :rule cong :premises (@p288) :args (@t72)) % 0.38/0.62 (step @p290 :rule refl :args (@t73)) % 0.38/0.62 (step @p291 :rule refl :args (@t74)) % 0.38/0.62 (step @p292 :rule bool-impl-elim :args (@t89 @t260)) % 0.38/0.62 (step @p293 :rule cong :premises (@p292) :args ((forall @t91 (=> @t89 @t260)))) % 0.38/0.62 (step @p294 :rule aci_norm :args ((= (or @t134 (or @t258 (or @t132 (or @t131 (or @t130 (or @t129 @t257)))))) @t259))) % 0.38/0.62 (step @p295 :rule bool-and-de-morgan :args (@t78 @t77 true)) % 0.38/0.62 (step @p296 :rule refl :args (@t130)) % 0.38/0.62 (step @p297 :rule nary_cong :premises (@p296 @p295) :args ((or @t130 (not (and @t78 @t77))))) % 0.38/0.62 (step @p298 :rule bool-and-de-morgan :args (@t79 @t78 (and @t77))) % 0.38/0.62 (step @p299 :rule trans :premises (@p298 @p297)) % 0.38/0.62 (step @p300 :rule refl :args (@t131)) % 0.38/0.62 (step @p301 :rule nary_cong :premises (@p300 @p299) :args ((or @t131 (not (and @t79 @t78 @t77))))) % 0.38/0.62 (step @p302 :rule bool-and-de-morgan :args (@t80 @t79 (and @t78 @t77))) % 0.38/0.62 (step @p303 :rule trans :premises (@p302 @p301)) % 0.38/0.62 (step @p304 :rule refl :args (@t132)) % 0.38/0.62 (step @p305 :rule nary_cong :premises (@p304 @p303) :args ((or @t132 (not (and @t80 @t79 @t78 @t77))))) % 0.38/0.62 (step @p306 :rule bool-and-de-morgan :args (@t82 @t80 (and @t79 @t78 @t77))) % 0.38/0.62 (step @p307 :rule trans :premises (@p306 @p305)) % 0.38/0.62 (step @p308 :rule refl :args (@t258)) % 0.38/0.62 (step @p309 :rule nary_cong :premises (@p308 @p307) :args ((or @t258 (not (and @t82 @t80 @t79 @t78 @t77))))) % 0.38/0.62 (step @p310 :rule bool-and-de-morgan :args (@t84 @t82 (and @t80 @t79 @t78 @t77))) % 0.38/0.62 (step @p311 :rule trans :premises (@p310 @p309)) % 0.38/0.62 (step @p312 :rule refl :args (@t134)) % 0.38/0.62 (step @p313 :rule nary_cong :premises (@p312 @p311) :args ((or @t134 (not (and @t84 @t82 @t80 @t79 @t78 @t77))))) % 0.38/0.62 (step @p314 :rule bool-and-de-morgan :args (@t85 @t84 (and @t82 @t80 @t79 @t78 @t77))) % 0.38/0.62 (step @p315 :rule trans :premises (@p314 @p313)) % 0.38/0.62 (step @p316 :rule trans :premises (@p315 @p294)) % 0.38/0.62 (step @p317 :rule cong :premises (@p316) :args (@t282)) % 0.38/0.62 (step @p318 :rule cong :premises (@p317) :args (@t283)) % 0.38/0.62 (step @p319 :rule exists-elim :args ((= @t88 @t283))) % 0.38/0.62 (step @p320 :rule trans :premises (@p319 @p318)) % 0.38/0.62 (step @p321 :rule refl :args (@t89)) % 0.38/0.62 (step @p322 :rule cong :premises (@p321 @p320) :args (@t90)) % 0.38/0.62 (step @p323 :rule cong :premises (@p322) :args (@t92)) % 0.38/0.62 (step @p324 :rule trans :premises (@p323 @p293)) % 0.38/0.62 (step @p325 :rule refl :args (@t93)) % 0.38/0.62 (step @p326 :rule refl :args (@t94)) % 0.38/0.62 (step @p327 :rule refl :args (@t95)) % 0.38/0.62 (step @p328 :rule refl :args (@t96)) % 0.38/0.62 (step @p329 :rule refl :args (@t97)) % 0.38/0.62 (step @p330 :rule nary_cong :premises (@p329 @p328 @p327 @p326 @p325 @p324 @p291 @p290 @p289 @p287 @p286 @p285 @p284 @p283 @p282 @p281 @p280 @p279) :args (@t98)) % 0.38/0.62 (step @p331 :rule cong :premises (@p330) :args (@t100)) % 0.38/0.62 (step @p332 :rule trans :premises (@p331 @p278)) % 0.38/0.62 (step @p333 :rule refl :args (@t101)) % 0.38/0.62 (step @p334 :rule nary_cong :premises (@p333 @p332) :args (@t102)) % 0.38/0.62 (step @p335 :rule cong :premises (@p334) :args (@t104)) % 0.38/0.62 (step @p336 :rule trans :premises (@p335 @p201)) % 0.38/0.62 (step @p337 :rule cong :premises (@p336 @p177) :args (@t105)) % 0.38/0.62 (step @p338 :rule cong :premises (@p177 @p336) :args (@t106)) % 0.38/0.62 (step @p339 :rule nary_cong :premises (@p338 @p337) :args (@t107)) % 0.38/0.62 (step @p340 :rule cong :premises (@p339) :args (@t108)) % 0.38/0.62 (step @p341 :rule bool-double-not-elim :args (@t107)) % 0.38/0.62 (step @p342 :rule cong :premises (@p341) :args (@t109)) % 0.38/0.62 (step @p343 :rule trans :premises (@p342 @p340)) % 0.38/0.62 (step @p344 :rule eq_resolve :premises (@p1 @p343)) % 0.38/0.62 (step @p345 :rule not_and :premises (@p344)) % 0.38/0.62 (step @p346 :rule chain_m_resolution :premises (@p345 @p18 @p12 @p6) :args (@t177 (@list false false true) (@list @t181 @t180 @t143))) % 0.38/0.62 (step @p347 :rule cnf_implies_neg1 :args (@t181)) % 0.38/0.62 (step @p348 :rule reordering :premises (@p347) :args ((or @t178 @t181))) % 0.38/0.62 (step @p349 :rule chain_m_resolution :premises (@p348 @p346) :args (@t181 @t284 @t285)) % 0.38/0.62 (step @p350 :rule equiv_elim1 :premises (@p5)) % 0.38/0.62 (step @p351 :rule chain_m_resolution :premises (@p350 @p346) :args (@t143 @t284 @t285)) % 0.38/0.62 (step @p352 :rule cnf_implies_neg1 :args (@t180)) % 0.38/0.62 (step @p353 :rule reordering :premises (@p352) :args ((or @t179 @t180))) % 0.38/0.62 (step @p354 :rule chain_m_resolution :premises (@p353 @p351) :args (@t180 @t284 (@list @t143))) % 0.38/0.62 (step @p355 false :rule chain_m_resolution :premises (@p345 @p354 @p349) :args (false (@list false false) (@list @t180 @t181))) % 0.38/0.62 ) % 0.38/0.62 % SZS output end Proof % 0.38/0.62 % cvc5 exiting %------------------------------------------------------------------------------