%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV153+1 : TPTP v9.2.1. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 09:00:37 AM UTC 2026 % Result : Theorem 0.44s 0.67s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV153+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:58:17 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.67 % SZS status Theorem % 0.44/0.67 % SZS output start Proof % 0.44/0.67 ( % 0.44/0.67 (declare-sort $$unsorted 0) % 0.44/0.67 (declare-const tptp.n135299 $$unsorted) % 0.44/0.67 (declare-const tptp.pv12 $$unsorted) % 0.44/0.67 (declare-const tptp.q $$unsorted) % 0.44/0.67 (declare-const tptp.times (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.center $$unsorted) % 0.44/0.67 (declare-const tptp.pv10 $$unsorted) % 0.44/0.67 (declare-const tptp.def $$unsorted) % 0.44/0.67 (declare-const tptp.use $$unsorted) % 0.44/0.67 (declare-const tptp.true Bool) % 0.44/0.67 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.pv70 $$unsorted) % 0.44/0.67 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.x $$unsorted) % 0.44/0.67 (declare-const tptp.n3 $$unsorted) % 0.44/0.67 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.44/0.67 (declare-const tptp.n0 $$unsorted) % 0.44/0.67 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.n1 $$unsorted) % 0.44/0.67 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.n5 $$unsorted) % 0.44/0.67 (declare-const tptp.tptp_sum_index $$unsorted) % 0.44/0.67 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.sqrt (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.44/0.67 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.44/0.67 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.67 (declare-const tptp.n4 $$unsorted) % 0.44/0.67 (declare-const tptp.n2 $$unsorted) % 0.44/0.67 (define @t1 () (@var "Y" $$unsorted)) % 0.44/0.67 (define @t2 () (@var "X" $$unsorted)) % 0.44/0.67 (define @t3 () (= @t2 @t1)) % 0.44/0.67 (define @t4 () (tptp.gt @t1 @t2)) % 0.44/0.67 (define @t5 () (tptp.gt @t2 @t1)) % 0.44/0.67 (define @t6 () (@list @t2 @t1)) % 0.44/0.67 (define @t7 () (@var "Z" $$unsorted)) % 0.44/0.67 (define @t8 () (@list @t2 @t1 @t7)) % 0.44/0.67 (define @t9 () (@list @t2)) % 0.44/0.67 (define @t10 () (tptp.leq @t2 @t1)) % 0.44/0.67 (define @t11 () (forall @t6 (=> @t4 @t10))) % 0.44/0.67 (define @t12 () (tptp.leq @t2 (tptp.pred @t1))) % 0.44/0.67 (define @t13 () (forall @t6 (= @t12 @t4))) % 0.44/0.67 (define @t14 () (tptp.succ @t2)) % 0.44/0.67 (define @t15 () (tptp.succ @t1)) % 0.44/0.67 (define @t16 () (@var "C" $$unsorted)) % 0.44/0.67 (define @t17 () (tptp.uniform_int_rnd @t16 @t2)) % 0.44/0.67 (define @t18 () (tptp.leq tptp.n0 @t2)) % 0.44/0.67 (define @t19 () (@list @t2 @t16)) % 0.44/0.67 (define @t20 () (@var "Val" $$unsorted)) % 0.44/0.67 (define @t21 () (@var "I" $$unsorted)) % 0.44/0.67 (define @t22 () (@var "U" $$unsorted)) % 0.44/0.67 (define @t23 () (@var "L" $$unsorted)) % 0.44/0.67 (define @t24 () (tptp.leq @t21 @t22)) % 0.44/0.67 (define @t25 () (@var "J" $$unsorted)) % 0.44/0.67 (define @t26 () (@var "U2" $$unsorted)) % 0.44/0.67 (define @t27 () (@var "L2" $$unsorted)) % 0.44/0.67 (define @t28 () (@var "U1" $$unsorted)) % 0.44/0.67 (define @t29 () (@var "L1" $$unsorted)) % 0.44/0.67 (define @t30 () (@var "A" $$unsorted)) % 0.44/0.67 (define @t31 () (tptp.trans @t30)) % 0.44/0.67 (define @t32 () (@var "N" $$unsorted)) % 0.44/0.67 (define @t33 () (tptp.leq @t25 @t32)) % 0.44/0.67 (define @t34 () (tptp.leq tptp.n0 @t25)) % 0.44/0.67 (define @t35 () (tptp.leq @t21 @t32)) % 0.44/0.67 (define @t36 () (tptp.leq tptp.n0 @t21)) % 0.44/0.67 (define @t37 () (and @t36 @t35 @t34 @t33)) % 0.44/0.67 (define @t38 () (@list @t21 @t25)) % 0.44/0.67 (define @t39 () (forall @t38 (=> @t37 (= (tptp.a_select3 @t30 @t21 @t25) (tptp.a_select3 @t30 @t25 @t21))))) % 0.44/0.67 (define @t40 () (@list @t30 @t32)) % 0.44/0.67 (define @t41 () (tptp.inv @t30)) % 0.44/0.67 (define @t42 () (@var "VAL" $$unsorted)) % 0.44/0.67 (define @t43 () (@var "K" $$unsorted)) % 0.44/0.67 (define @t44 () (tptp.tptp_update3 @t30 @t43 @t43 @t42)) % 0.44/0.67 (define @t45 () (@var "B" $$unsorted)) % 0.44/0.67 (define @t46 () (tptp.tptp_madd @t30 @t45)) % 0.44/0.67 (define @t47 () (= (tptp.a_select3 @t45 @t21 @t25) (tptp.a_select3 @t45 @t25 @t21))) % 0.44/0.67 (define @t48 () (forall @t38 (=> @t37 @t47))) % 0.44/0.67 (define @t49 () (and @t39 @t48)) % 0.44/0.67 (define @t50 () (@list @t30 @t45 @t32)) % 0.44/0.67 (define @t51 () (tptp.tptp_msub @t30 @t45)) % 0.44/0.67 (define @t52 () (tptp.tptp_mmul @t30 (tptp.tptp_mmul @t45 @t31))) % 0.44/0.67 (define @t53 () (forall @t38 (=> @t37 (= (tptp.a_select3 @t52 @t21 @t25) (tptp.a_select3 @t52 @t25 @t21))))) % 0.44/0.67 (define @t54 () (@var "M" $$unsorted)) % 0.44/0.67 (define @t55 () (and @t36 (tptp.leq @t21 @t54) @t34 (tptp.leq @t25 @t54))) % 0.44/0.67 (define @t56 () (@var "E" $$unsorted)) % 0.44/0.67 (define @t57 () (@var "F" $$unsorted)) % 0.44/0.67 (define @t58 () (@var "D" $$unsorted)) % 0.44/0.67 (define @t59 () (tptp.tptp_madd @t30 (tptp.tptp_mmul @t45 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t16 (tptp.tptp_mmul @t58 (tptp.trans @t16))) (tptp.tptp_mmul @t56 (tptp.tptp_mmul @t57 (tptp.trans @t56)))) (tptp.trans @t45))))) % 0.44/0.67 (define @t60 () (@var "Body" $$unsorted)) % 0.44/0.67 (define @t61 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t60)) % 0.44/0.67 (define @t62 () (@list @t60)) % 0.44/0.67 (define @t63 () (tptp.succ @t14)) % 0.44/0.67 (define @t64 () (tptp.succ @t63)) % 0.44/0.67 (define @t65 () (tptp.succ @t64)) % 0.44/0.67 (define @t66 () (tptp.succ @t65)) % 0.44/0.67 (define @t67 () (tptp.pred @t2)) % 0.44/0.67 (define @t68 () (tptp.pred @t14)) % 0.44/0.67 (define @t69 () (forall @t9 (= @t68 @t2))) % 0.44/0.67 (define @t70 () (@var "V" $$unsorted)) % 0.44/0.67 (define @t71 () (tptp.tptp_update3 @t2 @t22 @t70 @t42)) % 0.44/0.67 (define @t72 () (@var "VAL2" $$unsorted)) % 0.44/0.67 (define @t73 () (not (= @t21 @t22))) % 0.44/0.67 (define @t74 () (@var "J0" $$unsorted)) % 0.44/0.67 (define @t75 () (@var "I0" $$unsorted)) % 0.44/0.67 (define @t76 () (tptp.leq @t75 @t22)) % 0.44/0.67 (define @t77 () (tptp.leq tptp.n0 @t75)) % 0.44/0.67 (define @t78 () (tptp.tptp_update2 @t2 @t22 @t42)) % 0.44/0.67 (define @t79 () (tptp.a_select2 tptp.x tptp.pv10)) % 0.44/0.67 (define @t80 () (tptp.minus (tptp.a_select3 tptp.center tptp.tptp_sum_index tptp.n0) @t79)) % 0.44/0.67 (define @t81 () (tptp.sum tptp.n0 tptp.n4 (tptp.sqrt (tptp.times @t80 @t80)))) % 0.44/0.67 (define @t82 () (tptp.minus (tptp.a_select3 tptp.center @t16 tptp.n0) @t79)) % 0.44/0.67 (define @t83 () (= (tptp.a_select3 tptp.q tptp.pv10 @t16) (tptp.divide (tptp.sqrt (tptp.times @t82 @t82)) @t81))) % 0.44/0.67 (define @t84 () (not (= tptp.pv12 @t16))) % 0.44/0.67 (define @t85 () (=> @t84 @t83)) % 0.44/0.67 (define @t86 () (tptp.leq @t16 tptp.pv12)) % 0.44/0.67 (define @t87 () (tptp.leq tptp.n0 @t16)) % 0.44/0.67 (define @t88 () (and @t87 @t86)) % 0.44/0.67 (define @t89 () (=> @t88 @t85)) % 0.44/0.67 (define @t90 () (@list @t16)) % 0.44/0.67 (define @t91 () (forall @t90 @t89)) % 0.44/0.67 (define @t92 () (tptp.sum tptp.n0 tptp.n4 (tptp.a_select3 tptp.q @t45 tptp.tptp_sum_index))) % 0.44/0.67 (define @t93 () (tptp.leq @t45 (tptp.pred tptp.pv10))) % 0.44/0.67 (define @t94 () (tptp.leq tptp.n0 @t45)) % 0.44/0.67 (define @t95 () (and @t94 @t93)) % 0.44/0.67 (define @t96 () (=> @t95 (= @t92 tptp.n1))) % 0.44/0.67 (define @t97 () (@list @t45)) % 0.44/0.67 (define @t98 () (forall @t97 @t96)) % 0.44/0.67 (define @t99 () (tptp.minus (tptp.a_select3 tptp.center @t30 tptp.n0) @t79)) % 0.44/0.67 (define @t100 () (= (tptp.a_select3 tptp.q tptp.pv10 @t30) (tptp.divide (tptp.sqrt (tptp.times @t99 @t99)) @t81))) % 0.44/0.67 (define @t101 () (tptp.pred tptp.pv12)) % 0.44/0.67 (define @t102 () (tptp.leq @t30 @t101)) % 0.44/0.67 (define @t103 () (tptp.leq tptp.n0 @t30)) % 0.44/0.67 (define @t104 () (and @t103 @t102)) % 0.44/0.67 (define @t105 () (forall (@list @t30) (=> @t104 @t100))) % 0.44/0.67 (define @t106 () (tptp.leq tptp.pv12 tptp.n4)) % 0.44/0.67 (define @t107 () (tptp.leq tptp.pv10 tptp.n135299)) % 0.44/0.67 (define @t108 () (tptp.leq tptp.n0 tptp.pv12)) % 0.44/0.67 (define @t109 () (tptp.leq tptp.n0 tptp.pv10)) % 0.44/0.67 (define @t110 () (= tptp.pv70 @t81)) % 0.44/0.67 (define @t111 () (and @t110 @t109 @t108 @t107 @t106 @t105 @t98)) % 0.44/0.67 (define @t112 () (=> @t111 @t91)) % 0.44/0.67 (define @t113 () (not @t112)) % 0.44/0.67 (define @t114 () (tptp.gt tptp.n1 tptp.n0)) % 0.44/0.67 (define @t115 () (tptp.gt tptp.n2 tptp.n0)) % 0.44/0.67 (define @t116 () (tptp.gt tptp.n3 tptp.n0)) % 0.44/0.67 (define @t117 () (tptp.gt tptp.n2 tptp.n1)) % 0.44/0.67 (define @t118 () (tptp.gt tptp.n3 tptp.n1)) % 0.44/0.67 (define @t119 () (tptp.gt tptp.n3 tptp.n2)) % 0.44/0.67 (define @t120 () (tptp.gt tptp.n4 tptp.n3)) % 0.44/0.67 (define @t121 () (= @t2 tptp.n4)) % 0.44/0.67 (define @t122 () (= @t2 tptp.n3)) % 0.44/0.67 (define @t123 () (= @t2 tptp.n2)) % 0.44/0.67 (define @t124 () (= @t2 tptp.n1)) % 0.44/0.67 (define @t125 () (= @t2 tptp.n0)) % 0.44/0.67 (define @t126 () (or @t125 @t124 @t123 @t122 @t121)) % 0.44/0.67 (define @t127 () (tptp.leq @t2 tptp.n4)) % 0.44/0.67 (define @t128 () (and @t18 @t127)) % 0.44/0.67 (define @t129 () (forall @t9 (=> @t128 @t126))) % 0.44/0.67 (define @t130 () (tptp.leq @t2 tptp.n0)) % 0.44/0.67 (define @t131 () (and @t18 @t130)) % 0.44/0.67 (define @t132 () (forall @t9 (=> @t131 @t125))) % 0.44/0.67 (define @t133 () (or @t125 @t124)) % 0.44/0.67 (define @t134 () (tptp.leq @t2 tptp.n1)) % 0.44/0.67 (define @t135 () (and @t18 @t134)) % 0.44/0.67 (define @t136 () (forall @t9 (=> @t135 @t133))) % 0.44/0.67 (define @t137 () (or @t125 @t124 @t123)) % 0.44/0.67 (define @t138 () (tptp.leq @t2 tptp.n2)) % 0.44/0.67 (define @t139 () (and @t18 @t138)) % 0.44/0.67 (define @t140 () (forall @t9 (=> @t139 @t137))) % 0.44/0.67 (define @t141 () (or @t125 @t124 @t123 @t122)) % 0.44/0.67 (define @t142 () (tptp.leq @t2 tptp.n3)) % 0.44/0.67 (define @t143 () (and @t18 @t142)) % 0.44/0.67 (define @t144 () (forall @t9 (=> @t143 @t141))) % 0.44/0.67 (define @t145 () (tptp.succ tptp.n0)) % 0.44/0.67 (define @t146 () (tptp.succ @t145)) % 0.44/0.67 (define @t147 () (tptp.succ @t146)) % 0.44/0.67 (define @t148 () (tptp.succ @t147)) % 0.44/0.67 (define @t149 () (@list tptp.n1 tptp.n2)) % 0.44/0.67 (define @t150 () (tptp.pred tptp.n2)) % 0.44/0.67 (define @t151 () (tptp.leq tptp.n1 @t150)) % 0.44/0.67 (define @t152 () (= @t117 @t151)) % 0.44/0.67 (define @t153 () (not @t117)) % 0.44/0.67 (define @t154 () (@list false false)) % 0.44/0.67 (define @t155 () (= @t16 tptp.pv12)) % 0.44/0.67 (define @t156 () (not @t86)) % 0.44/0.67 (define @t157 () (not @t87)) % 0.44/0.67 (define @t158 () (or @t157 @t156 @t155 @t83)) % 0.44/0.67 (define @t159 () (not @t155)) % 0.44/0.67 (define @t160 () (=> @t159 @t83)) % 0.44/0.67 (define @t161 () (= tptp.n1 @t92)) % 0.44/0.67 (define @t162 () (not @t93)) % 0.44/0.67 (define @t163 () (not @t94)) % 0.44/0.67 (define @t164 () (not @t102)) % 0.44/0.67 (define @t165 () (not @t103)) % 0.44/0.67 (define @t166 () (forall @t90 @t158)) % 0.44/0.67 (define @t167 () (@quantifiers_skolemize @t166 0)) % 0.44/0.67 (define @t168 () (@list @t167)) % 0.44/0.67 (define @t169 () (tptp.minus (tptp.a_select3 tptp.center @t167 tptp.n0) @t79)) % 0.44/0.67 (define @t170 () (= (tptp.a_select3 tptp.q tptp.pv10 @t167) (tptp.divide (tptp.sqrt (tptp.times @t169 @t169)) @t81))) % 0.44/0.67 (define @t171 () (= tptp.pv12 @t167)) % 0.44/0.67 (define @t172 () (tptp.leq @t167 tptp.pv12)) % 0.44/0.67 (define @t173 () (not @t172)) % 0.44/0.67 (define @t174 () (tptp.leq tptp.n0 @t167)) % 0.44/0.67 (define @t175 () (not @t174)) % 0.44/0.67 (define @t176 () (or @t175 @t173 @t171 @t170)) % 0.44/0.67 (define @t177 () (not @t176)) % 0.44/0.67 (define @t178 () (not @t166)) % 0.44/0.67 (define @t179 () (or @t175 @t173 (= @t167 tptp.pv12) @t170)) % 0.44/0.67 (define @t180 () (not @t179)) % 0.44/0.67 (define @t181 () (@list true)) % 0.44/0.67 (define @t182 () (@list @t176)) % 0.44/0.67 (define @t183 () (tptp.leq @t167 @t101)) % 0.44/0.67 (define @t184 () (not @t183)) % 0.44/0.67 (define @t185 () (or @t175 @t184 @t170)) % 0.44/0.67 (define @t186 () (@list false true false)) % 0.44/0.67 (define @t187 () (not @t127)) % 0.44/0.67 (define @t188 () (not @t18)) % 0.44/0.67 (define @t189 () (or @t188 @t187 @t125 @t124 @t123 @t122 @t121)) % 0.44/0.67 (define @t190 () (not @t106)) % 0.44/0.67 (define @t191 () (not @t108)) % 0.44/0.67 (define @t192 () (or @t191 @t190 (= tptp.pv12 tptp.n0) (= tptp.pv12 tptp.n1) (= tptp.pv12 tptp.n2) (= tptp.pv12 tptp.n3) (= tptp.pv12 tptp.n4))) % 0.44/0.67 (define @t193 () (forall @t9 @t189)) % 0.44/0.67 (define @t194 () (= tptp.n4 tptp.pv12)) % 0.44/0.67 (define @t195 () (= tptp.n3 tptp.pv12)) % 0.44/0.67 (define @t196 () (= tptp.n2 tptp.pv12)) % 0.44/0.67 (define @t197 () (= tptp.n1 tptp.pv12)) % 0.44/0.67 (define @t198 () (= tptp.n0 tptp.pv12)) % 0.44/0.67 (define @t199 () (or @t191 @t190 @t198 @t197 @t196 @t195 @t194)) % 0.44/0.67 (define @t200 () (@list false)) % 0.44/0.67 (define @t201 () (@list @t193)) % 0.44/0.67 (define @t202 () (tptp.leq @t167 tptp.n3)) % 0.44/0.67 (define @t203 () (not @t195)) % 0.44/0.67 (define @t204 () (not @t202)) % 0.44/0.67 (define @t205 () (= true false)) % 0.44/0.67 (define @t206 () (and @t204 @t195 @t172)) % 0.44/0.67 (define @t207 () (not @t171)) % 0.44/0.67 (define @t208 () (= tptp.n3 @t167)) % 0.44/0.67 (define @t209 () (not @t208)) % 0.44/0.67 (define @t210 () (not @t207)) % 0.44/0.67 (define @t211 () (and @t207 @t195)) % 0.44/0.67 (define @t212 () (tptp.leq tptp.n1 tptp.n2)) % 0.44/0.67 (define @t213 () (or @t153 @t212)) % 0.44/0.67 (define @t214 () (= tptp.n1 @t167)) % 0.44/0.67 (define @t215 () (not @t214)) % 0.44/0.67 (define @t216 () (tptp.pred @t147)) % 0.44/0.67 (define @t217 () (= @t146 @t216)) % 0.44/0.67 (define @t218 () (not @t217)) % 0.44/0.67 (define @t219 () (not @t212)) % 0.44/0.67 (define @t220 () (= tptp.n3 @t147)) % 0.44/0.67 (define @t221 () (not @t220)) % 0.44/0.67 (define @t222 () (= tptp.n2 @t146)) % 0.44/0.67 (define @t223 () (not @t222)) % 0.44/0.67 (define @t224 () (not @t184)) % 0.44/0.67 (define @t225 () (= false true)) % 0.44/0.67 (define @t226 () (tptp.pred tptp.n3)) % 0.44/0.67 (define @t227 () (and @t212 @t214 @t222 @t217 @t220 @t195 @t184)) % 0.44/0.67 (define @t228 () (not @t142)) % 0.44/0.67 (define @t229 () (or @t188 @t228 @t125 @t124 @t123 @t122)) % 0.44/0.67 (define @t230 () (= @t167 tptp.n3)) % 0.44/0.67 (define @t231 () (= @t167 tptp.n2)) % 0.44/0.67 (define @t232 () (= @t167 tptp.n1)) % 0.44/0.67 (define @t233 () (= @t167 tptp.n0)) % 0.44/0.67 (define @t234 () (or @t175 @t204 @t233 @t232 @t231 @t230)) % 0.44/0.67 (define @t235 () (forall @t9 @t229)) % 0.44/0.67 (define @t236 () (= tptp.n2 @t167)) % 0.44/0.67 (define @t237 () (= tptp.n0 @t167)) % 0.44/0.67 (define @t238 () (or @t175 @t204 @t237 @t214 @t236 @t208)) % 0.44/0.67 (define @t239 () (@list tptp.n0 tptp.n1)) % 0.44/0.67 (define @t240 () (tptp.leq tptp.n0 tptp.n1)) % 0.44/0.67 (define @t241 () (not @t114)) % 0.44/0.67 (define @t242 () (or @t241 @t240)) % 0.44/0.67 (define @t243 () (not @t196)) % 0.44/0.67 (define @t244 () (tptp.pred @t146)) % 0.44/0.67 (define @t245 () (= @t145 @t244)) % 0.44/0.67 (define @t246 () (not @t245)) % 0.44/0.67 (define @t247 () (not @t237)) % 0.44/0.67 (define @t248 () (not @t240)) % 0.44/0.67 (define @t249 () (= tptp.n1 @t145)) % 0.44/0.67 (define @t250 () (not @t249)) % 0.44/0.67 (define @t251 () (and @t240 @t237 @t249 @t245 @t222 @t196 @t184)) % 0.44/0.67 (define @t252 () (tptp.leq tptp.n0 tptp.n2)) % 0.44/0.67 (define @t253 () (not @t115)) % 0.44/0.67 (define @t254 () (or @t253 @t252)) % 0.44/0.67 (define @t255 () (not @t252)) % 0.44/0.67 (define @t256 () (and @t252 @t237 @t222 @t217 @t220 @t195 @t184)) % 0.44/0.67 (define @t257 () (tptp.leq tptp.n0 (tptp.pred tptp.n1))) % 0.44/0.67 (define @t258 () (= @t114 @t257)) % 0.44/0.67 (define @t259 () (not @t197)) % 0.44/0.67 (define @t260 () (tptp.pred @t145)) % 0.44/0.67 (define @t261 () (= tptp.n0 @t260)) % 0.44/0.67 (define @t262 () (not @t261)) % 0.44/0.67 (define @t263 () (not @t257)) % 0.44/0.67 (define @t264 () (and @t257 @t249 @t261 @t237 @t197 @t184)) % 0.44/0.67 (define @t265 () (tptp.leq @t167 tptp.n0)) % 0.44/0.67 (define @t266 () (not @t198)) % 0.44/0.67 (define @t267 () (not @t265)) % 0.44/0.67 (define @t268 () (and @t267 @t198 @t172)) % 0.44/0.67 (define @t269 () (not @t130)) % 0.44/0.67 (define @t270 () (or @t188 @t269 @t125)) % 0.44/0.67 (define @t271 () (or @t175 @t267 @t233)) % 0.44/0.67 (define @t272 () (forall @t9 @t270)) % 0.44/0.67 (define @t273 () (or @t175 @t267 @t237)) % 0.44/0.67 (define @t274 () (and @t207 @t198)) % 0.44/0.67 (define @t275 () (tptp.leq tptp.n0 tptp.n3)) % 0.44/0.67 (define @t276 () (not @t116)) % 0.44/0.67 (define @t277 () (or @t276 @t275)) % 0.44/0.67 (define @t278 () (tptp.pred @t148)) % 0.44/0.67 (define @t279 () (= @t147 @t278)) % 0.44/0.67 (define @t280 () (not @t279)) % 0.44/0.67 (define @t281 () (not @t194)) % 0.44/0.67 (define @t282 () (not @t275)) % 0.44/0.67 (define @t283 () (= tptp.n4 @t148)) % 0.44/0.67 (define @t284 () (not @t283)) % 0.44/0.67 (define @t285 () (tptp.pred tptp.n4)) % 0.44/0.67 (define @t286 () (and @t275 @t237 @t220 @t279 @t283 @t194 @t184)) % 0.44/0.67 (define @t287 () (@list tptp.n2 tptp.n3)) % 0.44/0.67 (define @t288 () (tptp.leq tptp.n2 @t226)) % 0.44/0.67 (define @t289 () (= @t119 @t288)) % 0.44/0.67 (define @t290 () (not @t119)) % 0.44/0.67 (define @t291 () (not @t236)) % 0.44/0.67 (define @t292 () (not @t288)) % 0.44/0.67 (define @t293 () (and @t288 @t220 @t217 @t236 @t195 @t184)) % 0.44/0.67 (define @t294 () (tptp.leq @t167 tptp.n1)) % 0.44/0.67 (define @t295 () (not @t294)) % 0.44/0.67 (define @t296 () (and @t295 @t197 @t172)) % 0.44/0.67 (define @t297 () (not @t134)) % 0.44/0.67 (define @t298 () (or @t188 @t297 @t125 @t124)) % 0.44/0.67 (define @t299 () (or @t175 @t295 @t233 @t232)) % 0.44/0.67 (define @t300 () (forall @t9 @t298)) % 0.44/0.67 (define @t301 () (or @t175 @t295 @t237 @t214)) % 0.44/0.67 (define @t302 () (and @t207 @t197)) % 0.44/0.67 (define @t303 () (tptp.leq @t167 tptp.n4)) % 0.44/0.67 (define @t304 () (not @t303)) % 0.44/0.67 (define @t305 () (and @t304 @t194 @t172)) % 0.44/0.67 (define @t306 () (= tptp.n4 @t167)) % 0.44/0.67 (define @t307 () (not @t306)) % 0.44/0.67 (define @t308 () (and @t207 @t194)) % 0.44/0.67 (define @t309 () (tptp.leq tptp.n1 tptp.n3)) % 0.44/0.67 (define @t310 () (not @t118)) % 0.44/0.67 (define @t311 () (or @t310 @t309)) % 0.44/0.67 (define @t312 () (not @t309)) % 0.44/0.67 (define @t313 () (and @t309 @t214 @t220 @t279 @t283 @t194 @t184)) % 0.44/0.67 (define @t314 () (tptp.leq tptp.n2 tptp.n3)) % 0.44/0.67 (define @t315 () (or @t290 @t314)) % 0.44/0.67 (define @t316 () (not @t314)) % 0.44/0.67 (define @t317 () (and @t314 @t236 @t220 @t279 @t283 @t194 @t184)) % 0.44/0.67 (define @t318 () (or @t175 @t304 @t233 @t232 @t231 @t230 (= @t167 tptp.n4))) % 0.44/0.67 (define @t319 () (or @t175 @t304 @t237 @t214 @t236 @t208 @t306)) % 0.44/0.67 (define @t320 () (tptp.leq tptp.n3 @t285)) % 0.44/0.67 (define @t321 () (= @t120 @t320)) % 0.44/0.67 (define @t322 () (not @t320)) % 0.44/0.67 (define @t323 () (and @t184 @t194 @t283 @t279 @t220 @t208 @t320)) % 0.44/0.67 (define @t324 () (not @t138)) % 0.44/0.67 (define @t325 () (or @t188 @t324 @t125 @t124 @t123)) % 0.44/0.67 (define @t326 () (tptp.leq @t167 tptp.n2)) % 0.44/0.67 (define @t327 () (not @t326)) % 0.44/0.67 (define @t328 () (or @t175 @t327 @t233 @t232 @t231)) % 0.44/0.67 (define @t329 () (forall @t9 @t325)) % 0.44/0.67 (define @t330 () (or @t175 @t327 @t237 @t214 @t236)) % 0.44/0.67 (define @t331 () (and @t327 @t196 @t172)) % 0.44/0.67 (define @t332 () (and @t222 @t196 @t236 @t207)) % 0.44/0.67 (define @t333 () (not @t151)) % 0.44/0.67 (define @t334 () (and @t151 @t222 @t245 @t214 @t196 @t184)) % 0.44/0.67 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.44/0.67 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.44/0.67 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.44/0.67 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.44/0.67 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.44/0.67 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.44/0.67 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.44/0.67 (assume @p8 @t11) % 0.44/0.67 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.44/0.67 (assume @p10 @t13) % 0.44/0.67 (assume @p11 (forall @t9 (tptp.gt @t14 @t2))) % 0.44/0.67 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t15)))) % 0.44/0.67 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t15 @t2)))) % 0.44/0.67 (assume @p14 (forall @t19 (=> @t18 (tptp.leq @t17 @t2)))) % 0.44/0.67 (assume @p15 (forall @t19 (=> @t18 (tptp.leq tptp.n0 @t17)))) % 0.44/0.67 (assume @p16 (forall (@list @t21 @t23 @t22 @t20) (=> (and (tptp.leq @t23 @t21) @t24) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t23 @t22) @t20) @t21) @t20)))) % 0.44/0.67 (assume @p17 (forall (@list @t21 @t29 @t28 @t25 @t27 @t26 @t20) (=> (and (tptp.leq @t29 @t21) (tptp.leq @t21 @t28) (tptp.leq @t27 @t25) (tptp.leq @t25 @t26)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t29 @t28) (tptp.dim @t27 @t26) @t20) @t21 @t25) @t20)))) % 0.44/0.67 (assume @p18 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (= (tptp.a_select3 @t31 @t21 @t25) (tptp.a_select3 @t31 @t25 @t21))))))) % 0.44/0.67 (assume @p19 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (= (tptp.a_select3 @t41 @t21 @t25) (tptp.a_select3 @t41 @t25 @t21))))))) % 0.44/0.67 (assume @p20 (forall @t40 (=> @t39 (forall (@list @t21 @t25 @t43 @t42) (=> (and @t36 @t35 @t34 @t33 (tptp.leq tptp.n0 @t43) (tptp.leq @t43 @t32)) (= (tptp.a_select3 @t44 @t21 @t25) (tptp.a_select3 @t44 @t25 @t21))))))) % 0.44/0.67 (assume @p21 (forall @t50 (=> @t49 (forall @t38 (=> @t37 (= (tptp.a_select3 @t46 @t21 @t25) (tptp.a_select3 @t46 @t25 @t21))))))) % 0.44/0.67 (assume @p22 (forall @t50 (=> @t49 (forall @t38 (=> @t37 (= (tptp.a_select3 @t51 @t21 @t25) (tptp.a_select3 @t51 @t25 @t21))))))) % 0.44/0.67 (assume @p23 (forall @t50 (=> @t48 @t53))) % 0.44/0.67 (assume @p24 (forall (@list @t30 @t45 @t32 @t54) (=> (forall @t38 (=> @t55 @t47)) @t53))) % 0.44/0.67 (assume @p25 (forall (@list @t30 @t45 @t16 @t58 @t56 @t57 @t32 @t54) (=> (and (forall @t38 (=> @t55 (= (tptp.a_select3 @t58 @t21 @t25) (tptp.a_select3 @t58 @t25 @t21)))) @t39 (forall @t38 (=> @t37 (= (tptp.a_select3 @t57 @t21 @t25) (tptp.a_select3 @t57 @t25 @t21))))) (forall @t38 (=> @t37 (= (tptp.a_select3 @t59 @t21 @t25) (tptp.a_select3 @t59 @t25 @t21))))))) % 0.44/0.67 (assume @p26 (forall @t62 (= @t61 tptp.n0))) % 0.44/0.67 (assume @p27 (forall @t62 (= tptp.tptp_float_0_0 @t61))) % 0.44/0.67 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.44/0.67 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t14))) % 0.44/0.67 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t14))) % 0.44/0.67 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t63))) % 0.44/0.67 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t63))) % 0.44/0.67 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t64))) % 0.44/0.67 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t64))) % 0.44/0.67 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t65))) % 0.44/0.67 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t65))) % 0.44/0.67 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t66))) % 0.44/0.67 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t66))) % 0.44/0.67 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t67))) % 0.44/0.67 (assume @p40 @t69) % 0.44/0.67 (assume @p41 (forall @t9 (= (tptp.succ @t67) @t2))) % 0.44/0.67 (assume @p42 (forall @t6 (= (tptp.leq @t14 @t15) @t10))) % 0.44/0.67 (assume @p43 (forall @t6 (=> (tptp.leq @t14 @t1) @t4))) % 0.44/0.67 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.44/0.67 (assume @p45 (forall (@list @t2 @t22 @t70 @t42) (= (tptp.a_select3 @t71 @t22 @t70) @t42))) % 0.44/0.67 (assume @p46 (forall (@list @t21 @t25 @t22 @t70 @t2 @t42 @t72) (=> (and @t73 (= @t25 @t70) (= (tptp.a_select3 @t2 @t22 @t70) @t42)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t21 @t25 @t72) @t22 @t70) @t42)))) % 0.44/0.67 (assume @p47 (forall (@list @t21 @t25 @t22 @t70 @t2 @t42) (=> (and (forall (@list @t75 @t74) (=> (and @t77 (tptp.leq tptp.n0 @t74) @t76 (tptp.leq @t74 @t70)) (= (tptp.a_select3 @t2 @t75 @t74) @t42))) @t36 @t24 @t34 (tptp.leq @t25 @t70)) (= (tptp.a_select3 @t71 @t21 @t25) @t42)))) % 0.44/0.67 (assume @p48 (forall (@list @t2 @t22 @t42) (= (tptp.a_select2 @t78 @t22) @t42))) % 0.44/0.67 (assume @p49 (forall (@list @t21 @t22 @t2 @t42 @t72) (=> (and @t73 (= (tptp.a_select2 @t2 @t22) @t42)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t21 @t72) @t22) @t42)))) % 0.44/0.67 (assume @p50 (forall (@list @t21 @t22 @t2 @t42) (=> (and (forall (@list @t75) (=> (and @t77 @t76) (= (tptp.a_select2 @t2 @t75) @t42))) @t36 @t24) (= (tptp.a_select2 @t78 @t21) @t42)))) % 0.44/0.67 (assume @p51 tptp.true) % 0.44/0.67 (assume @p52 (not (= tptp.def tptp.use))) % 0.44/0.67 (assume @p53 @t113) % 0.44/0.67 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.44/0.67 (assume @p55 (tptp.gt tptp.n135299 tptp.n4)) % 0.44/0.67 (assume @p56 (tptp.gt tptp.n135299 tptp.n5)) % 0.44/0.67 (assume @p57 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.44/0.67 (assume @p58 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.44/0.67 (assume @p59 (tptp.gt tptp.n135299 tptp.tptp_minus_1)) % 0.44/0.67 (assume @p60 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.44/0.67 (assume @p61 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.44/0.67 (assume @p62 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.44/0.67 (assume @p63 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.44/0.67 (assume @p64 (tptp.gt tptp.n4 tptp.n0)) % 0.44/0.67 (assume @p65 (tptp.gt tptp.n5 tptp.n0)) % 0.44/0.67 (assume @p66 (tptp.gt tptp.n135299 tptp.n0)) % 0.44/0.67 (assume @p67 @t114) % 0.44/0.67 (assume @p68 @t115) % 0.44/0.67 (assume @p69 @t116) % 0.44/0.67 (assume @p70 (tptp.gt tptp.n4 tptp.n1)) % 0.44/0.67 (assume @p71 (tptp.gt tptp.n5 tptp.n1)) % 0.44/0.67 (assume @p72 (tptp.gt tptp.n135299 tptp.n1)) % 0.44/0.67 (assume @p73 @t117) % 0.44/0.67 (assume @p74 @t118) % 0.44/0.67 (assume @p75 (tptp.gt tptp.n4 tptp.n2)) % 0.44/0.67 (assume @p76 (tptp.gt tptp.n5 tptp.n2)) % 0.44/0.67 (assume @p77 (tptp.gt tptp.n135299 tptp.n2)) % 0.44/0.67 (assume @p78 @t119) % 0.44/0.67 (assume @p79 @t120) % 0.44/0.67 (assume @p80 (tptp.gt tptp.n5 tptp.n3)) % 0.44/0.67 (assume @p81 (tptp.gt tptp.n135299 tptp.n3)) % 0.44/0.67 (assume @p82 @t129) % 0.44/0.67 (assume @p83 (forall @t9 (=> (and @t18 (tptp.leq @t2 tptp.n5)) (or @t125 @t124 @t123 @t122 @t121 (= @t2 tptp.n5))))) % 0.44/0.67 (assume @p84 @t132) % 0.44/0.67 (assume @p85 @t136) % 0.44/0.67 (assume @p86 @t140) % 0.44/0.67 (assume @p87 @t144) % 0.44/0.67 (assume @p88 (= @t148 tptp.n4)) % 0.44/0.67 (assume @p89 (= (tptp.succ @t148) tptp.n5)) % 0.44/0.67 (assume @p90 (= @t145 tptp.n1)) % 0.44/0.67 (assume @p91 (= @t146 tptp.n2)) % 0.44/0.67 (assume @p92 (= @t147 tptp.n3)) % 0.44/0.67 (assume @p93 true) % 0.44/0.67 (step @p94 :rule symm :premises (@p91)) % 0.44/0.67 (step @p95 :rule eq-symm :args (@t68 @t2)) % 0.44/0.67 (step @p96 :rule cong :premises (@p95) :args (@t69)) % 0.44/0.67 (step @p97 :rule eq_resolve :premises (@p40 @p96)) % 0.44/0.67 (step @p98 :rule instantiate :premises (@p97) :args ((@list @t145))) % 0.44/0.67 (step @p99 :rule eq-symm :args (@t12 @t4)) % 0.44/0.67 (step @p100 :rule cong :premises (@p99) :args (@t13)) % 0.44/0.67 (step @p101 :rule eq_resolve :premises (@p10 @p100)) % 0.44/0.67 (step @p102 :rule instantiate :premises (@p101) :args (@t149)) % 0.44/0.67 (step @p103 :rule cnf_equiv_pos1 :args (@t152)) % 0.44/0.67 (step @p104 :rule reordering :premises (@p103) :args ((or @t153 @t151 (not @t152)))) % 0.44/0.67 (step @p105 :rule chain_m_resolution :premises 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:rule chain_m_resolution :premises (@p1002 @p190 @p952 @p607 @p280 @p606 @p948 @p663 @p946 @p187 @p935 @p190 @p889 @p607 @p280 @p606 @p885 @p190 @p839 @p607 @p280 @p606 @p835 @p256 @p814 @p222) :args (@t281 (@list true false false false false false true false false true true false false false false true true false false false false true true false false) (@list @t183 @t320 @t279 @t220 @t283 @t208 @t237 @t319 @t174 @t236 @t183 @t314 @t279 @t220 @t283 @t214 @t183 @t309 @t279 @t220 @t283 @t306 @t171 @t303 @t172))) % 0.44/0.67 (step @p1004 :rule chain_m_resolution :premises (@p605 @p531 @p532 @p603 @p1003 @p787 @p717 @p216) :args (@t196 (@list false false true true true true false) (@list @t108 @t106 @t198 @t194 @t197 @t195 @t199))) % 0.44/0.67 (step @p1005 :rule aci_norm :args ((= (or (or @t188 @t324) @t137) @t325))) % 0.44/0.67 (step @p1006 :rule refl :args (@t137)) % 0.44/0.67 (step @p1007 :rule bool-and-de-morgan :args (@t18 @t138 true)) % 0.44/0.67 (step @p1008 :rule nary_cong :premises (@p1007 @p1006) :args ((or (not @t139) @t137))) % 0.44/0.67 (step @p1009 :rule trans :premises (@p1008 @p1005)) % 0.44/0.67 (step @p1010 :rule bool-impl-elim :args (@t139 @t137)) % 0.44/0.67 (step @p1011 :rule trans :premises (@p1010 @p1009)) % 0.44/0.67 (step @p1012 :rule cong :premises (@p1011) :args (@t140)) % 0.44/0.67 (step @p1013 :rule eq_resolve :premises (@p86 @p1012)) % 0.44/0.67 (step @p1014 :rule refl :args (@t327)) % 0.44/0.67 (step @p1015 :rule nary_cong :premises (@p166 @p1014 @p357 @p356 @p355) :args (@t328)) % 0.44/0.67 (step @p1016 :rule refl :args (@t329)) % 0.44/0.67 (step @p1017 :rule cong :premises (@p1016 @p1015) :args ((=> @t329 @t328))) % 0.44/0.67 (assume-push @p1473 @t329) % 0.44/0.67 (step @p1019 :rule instantiate :premises (@p1013) :args (@t168)) % 0.44/0.67 (step-pop @p1474 :rule scope :premises (@p1019)) % 0.44/0.67 (step @p1020 :rule process_scope :premises (@p1474) :args (@t328)) % 0.44/0.67 (step @p1022 :rule eq_resolve :premises (@p1020 @p1017)) % 0.44/0.67 (step @p1023 :rule implies_elim :premises (@p1022)) % 0.44/0.67 (step @p1024 :rule chain_m_resolution :premises (@p1023 @p1013) :args (@t330 @t200 (@list @t329))) % 0.44/0.67 (step @p1025 :rule bool-double-not-elim :args (@t326)) % 0.44/0.67 (step @p1026 :rule nary_cong :premises (@p165 @p374 @p1025) :args ((or @t173 @t243 (not @t327)))) % 0.44/0.67 (assume-push @p1475 @t327) % 0.44/0.67 (assume-push @p1476 @t196) % 0.44/0.67 (assume-push @p1477 @t172) % 0.44/0.67 (step @p229 :rule evaluate :args (@t205)) % 0.44/0.67 (step @p1030 :rule false_intro :premises (@p1475)) % 0.44/0.67 (step @p1031 :rule symm :premises (@p1476)) % 0.44/0.67 (step @p232 :rule refl :args (@t167)) % 0.44/0.67 (step @p1032 :rule cong :premises (@p232 @p1031) :args (@t172)) % 0.44/0.67 (step @p234 :rule true_intro :premises (@p222)) % 0.44/0.67 (step @p235 :rule symm :premises (@p234)) % 0.44/0.67 (step @p1033 :rule trans :premises (@p235 @p1032 @p1030)) % 0.44/0.67 (step @p1034 false :rule eq_resolve :premises (@p1033 @p229)) % 0.44/0.67 (step-pop @p1478 :rule scope :premises (@p1034)) % 0.44/0.67 (step-pop @p1479 :rule scope :premises (@p1478)) % 0.44/0.67 (step-pop @p1480 :rule scope :premises (@p1479)) % 0.44/0.67 (step @p1035 :rule process_scope :premises (@p1480) :args (false)) % 0.44/0.67 (assume-push @p1481 @t172) % 0.44/0.67 (assume-push @p1482 @t196) % 0.44/0.67 (assume-push @p1483 @t327) % 0.44/0.67 (step @p1042 :rule and_intro :premises (@p1483 @p1482 @p222)) % 0.44/0.67 (step-pop @p1484 :rule scope :premises (@p1042)) % 0.44/0.67 (step-pop @p1485 :rule scope :premises (@p1484)) % 0.44/0.67 (step-pop @p1486 :rule scope :premises (@p1485)) % 0.44/0.67 (step @p1043 :rule process_scope :premises (@p1486) :args (@t331)) % 0.44/0.67 (step @p1047 :rule implies_elim :premises (@p1043)) % 0.44/0.67 (step @p1048 :rule resolution :premises (@p1047 @p1035) :args (true @t331)) % 0.44/0.67 (step @p1049 :rule not_and :premises (@p1048)) % 0.44/0.67 (step @p1050 :rule eq_resolve :premises (@p1049 @p1026)) % 0.44/0.67 (step @p1051 :rule reordering :premises (@p1050) :args ((or @t173 @t326 @t243))) % 0.44/0.67 (step @p1052 :rule chain_m_resolution :premises (@p1051 @p222 @p1004) :args (@t326 @t154 (@list @t172 @t196))) % 0.44/0.67 (step @p1053 :rule nary_cong :premises (@p294 @p258 @p374 @p670) :args ((or @t223 @t210 @t243 @t291))) % 0.44/0.67 (assume-push @p1487 @t222) % 0.44/0.67 (assume-push @p1488 @t196) % 0.44/0.67 (assume-push @p1489 @t236) % 0.44/0.67 (assume-push @p1490 @t207) % 0.44/0.67 (step @p303 :rule evaluate :args (@t225)) % 0.44/0.67 (step @p1058 :rule symm :premises (@p1489)) % 0.44/0.67 (step @p1059 :rule trans :premises (@p1058 @p94)) % 0.44/0.67 (step @p1060 :rule symm :premises (@p1059)) % 0.44/0.67 (step @p1061 :rule symm :premises (@p1488)) % 0.44/0.67 (step @p1062 :rule trans :premises (@p1061 @p94 @p1060)) % 0.44/0.67 (step @p1063 :rule true_intro :premises (@p1062)) % 0.44/0.67 (step @p264 :rule false_intro :premises (@p256)) % 0.44/0.67 (step @p1064 :rule symm :premises (@p264)) % 0.44/0.67 (step @p1065 :rule trans :premises (@p1064 @p1063)) % 0.44/0.67 (step @p1066 false :rule eq_resolve :premises (@p1065 @p303)) % 0.44/0.67 (step-pop @p1491 :rule scope :premises (@p1066)) % 0.44/0.67 (step-pop @p1492 :rule scope :premises (@p1491)) % 0.44/0.67 (step-pop @p1493 :rule scope :premises (@p1492)) % 0.44/0.67 (step-pop @p1494 :rule scope :premises (@p1493)) % 0.44/0.67 (step @p1067 :rule process_scope :premises (@p1494) :args (false)) % 0.44/0.67 (assume-push @p1495 @t222) % 0.44/0.67 (assume-push @p1496 @t207) % 0.44/0.67 (assume-push @p1497 @t196) % 0.44/0.67 (assume-push @p1498 @t236) % 0.44/0.67 (step @p1076 :rule and_intro :premises (@p94 @p1497 @p1498 @p256)) % 0.44/0.67 (step-pop @p1499 :rule scope :premises (@p1076)) % 0.44/0.67 (step-pop @p1500 :rule scope :premises (@p1499)) % 0.44/0.67 (step-pop @p1501 :rule scope :premises (@p1500)) % 0.44/0.67 (step-pop @p1502 :rule scope :premises (@p1501)) % 0.44/0.67 (step @p1077 :rule process_scope :premises (@p1502) :args (@t332)) % 0.44/0.67 (step @p1082 :rule implies_elim :premises (@p1077)) % 0.44/0.67 (step @p1083 :rule resolution :premises (@p1082 @p1067) :args (true @t332)) % 0.44/0.67 (step @p1084 :rule not_and :premises (@p1083)) % 0.44/0.67 (step @p1085 :rule eq_resolve :premises (@p1084 @p1053)) % 0.44/0.67 (step @p1086 :rule chain_m_resolution :premises (@p1085 @p94 @p256 @p1004) :args (@t291 @t186 (@list @t222 @t171 @t196))) % 0.44/0.67 (step @p1087 :rule cnf_or_pos :args (@t330)) % 0.44/0.67 (step @p1088 :rule reordering :premises (@p1087) :args ((or @t175 @t237 @t214 @t236 @t327 (not @t330)))) % 0.44/0.67 (step @p1089 :rule chain_m_resolution :premises (@p1088 @p187 @p663 @p1086 @p1052 @p1024) :args (@t214 (@list false true true false false) (@list @t174 @t237 @t236 @t326 @t330))) % 0.44/0.67 (step @p1090 :rule refl :args (@t333)) % 0.44/0.67 (step @p1091 :rule nary_cong :premises (@p294 @p1090 @p375 @p290 @p374 @p289) :args ((or @t223 @t333 @t246 @t224 @t243 @t215))) % 0.44/0.67 (assume-push @p1503 @t151) % 0.44/0.67 (assume-push @p1504 @t222) % 0.44/0.67 (assume-push @p1505 @t245) % 0.44/0.67 (assume-push @p1506 @t214) % 0.44/0.67 (assume-push @p1507 @t196) % 0.44/0.67 (assume-push @p1508 @t184) % 0.44/0.67 (step @p303 :rule evaluate :args (@t225)) % 0.44/0.67 (step @p1098 :rule true_intro :premises (@p105)) % 0.44/0.67 (step @p1099 :rule cong :premises (@p91) :args (@t244)) % 0.44/0.67 (step @p1100 :rule trans :premises (@p98 @p1099)) % 0.44/0.67 (step @p1101 :rule refl :args (tptp.n1)) % 0.44/0.67 (step @p1102 :rule cong :premises (@p1101 @p1100) :args ((tptp.leq tptp.n1 @t145))) % 0.44/0.67 (step @p388 :rule symm :premises (@p98)) % 0.44/0.67 (step @p389 :rule cong :premises (@p94) :args (@t150)) % 0.44/0.67 (step @p1103 :rule symm :premises (@p1507)) % 0.44/0.67 (step @p1104 :rule cong :premises (@p1103) :args (@t101)) % 0.44/0.67 (step @p1105 :rule trans :premises (@p1104 @p389 @p388)) % 0.44/0.67 (step @p1106 :rule symm :premises (@p1506)) % 0.44/0.67 (step @p1107 :rule cong :premises (@p1106 @p1105) :args (@t183)) % 0.44/0.67 (step @p312 :rule false_intro :premises (@p190)) % 0.44/0.67 (step @p313 :rule symm :premises (@p312)) % 0.44/0.67 (step @p1108 :rule trans :premises (@p313 @p1107 @p1102 @p1098)) % 0.44/0.67 (step @p1109 false :rule eq_resolve :premises (@p1108 @p303)) % 0.44/0.67 (step-pop @p1509 :rule scope :premises (@p1109)) % 0.44/0.67 (step-pop @p1510 :rule scope :premises (@p1509)) % 0.44/0.67 (step-pop @p1511 :rule scope :premises (@p1510)) % 0.44/0.67 (step-pop @p1512 :rule scope :premises (@p1511)) % 0.44/0.67 (step-pop @p1513 :rule scope :premises (@p1512)) % 0.44/0.67 (step-pop @p1514 :rule scope :premises (@p1513)) % 0.44/0.67 (step @p1110 :rule process_scope :premises (@p1514) :args (false)) % 0.44/0.67 (assume-push @p1515 @t222) % 0.44/0.67 (assume-push @p1516 @t151) % 0.44/0.67 (assume-push @p1517 @t245) % 0.44/0.67 (assume-push @p1518 @t184) % 0.44/0.67 (assume-push @p1519 @t196) % 0.44/0.67 (assume-push @p1520 @t214) % 0.44/0.67 (step @p1123 :rule and_intro :premises (@p105 @p94 @p98 @p1520 @p1519 @p190)) % 0.44/0.67 (step-pop @p1521 :rule scope :premises (@p1123)) % 0.44/0.67 (step-pop @p1522 :rule scope :premises (@p1521)) % 0.44/0.67 (step-pop @p1523 :rule scope :premises (@p1522)) % 0.44/0.67 (step-pop @p1524 :rule scope :premises (@p1523)) % 0.44/0.67 (step-pop @p1525 :rule scope :premises (@p1524)) % 0.44/0.67 (step-pop @p1526 :rule scope :premises (@p1525)) % 0.44/0.67 (step @p1124 :rule process_scope :premises (@p1526) :args (@t334)) % 0.44/0.67 (step @p1131 :rule implies_elim :premises (@p1124)) % 0.44/0.67 (step @p1132 :rule resolution :premises (@p1131 @p1110) :args (true @t334)) % 0.44/0.67 (step @p1133 :rule not_and :premises (@p1132)) % 0.44/0.67 (step @p1134 :rule eq_resolve :premises (@p1133 @p1091)) % 0.44/0.67 (step @p1135 :rule reordering :premises (@p1134) :args ((or @t223 @t183 @t333 @t246 @t243 @t215))) % 0.44/0.67 (step @p1136 false :rule chain_m_resolution :premises (@p1135 @p1089 @p1004 @p190 @p105 @p98 @p94) :args (false (@list false false true false false false) (@list @t214 @t196 @t183 @t151 @t245 @t222))) % 0.44/0.67 ) % 0.44/0.67 % SZS output end Proof % 0.44/0.67 % cvc5 exiting %------------------------------------------------------------------------------