%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV157+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 : n022.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 0.36s 0.69s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV157+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:57:53 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.69 % SZS status Theorem % 0.36/0.69 % SZS output start Proof % 0.36/0.69 ( % 0.36/0.69 (declare-sort $$unsorted 0) % 0.36/0.69 (declare-const tptp.pv84 $$unsorted) % 0.36/0.69 (declare-const tptp.pv47 $$unsorted) % 0.36/0.69 (declare-const tptp.q $$unsorted) % 0.36/0.69 (declare-const tptp.exp (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.x $$unsorted) % 0.36/0.69 (declare-const tptp.rho $$unsorted) % 0.36/0.69 (declare-const tptp.times (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.sigma $$unsorted) % 0.36/0.69 (declare-const tptp.tptp_sum_index $$unsorted) % 0.36/0.69 (declare-const tptp.def $$unsorted) % 0.36/0.69 (declare-const tptp.use $$unsorted) % 0.36/0.69 (declare-const tptp.true Bool) % 0.36/0.69 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.sqrt (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.mu $$unsorted) % 0.36/0.69 (declare-const tptp.n3 $$unsorted) % 0.36/0.69 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.36/0.69 (declare-const tptp.n0 $$unsorted) % 0.36/0.69 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.n1 $$unsorted) % 0.36/0.69 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.n5 $$unsorted) % 0.36/0.69 (declare-const tptp.pv10 $$unsorted) % 0.36/0.69 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.tptp_minus_2 $$unsorted) % 0.36/0.69 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.36/0.69 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.n135299 $$unsorted) % 0.36/0.69 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.69 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.36/0.69 (declare-const tptp.tptp_pi $$unsorted) % 0.36/0.69 (declare-const tptp.n4 $$unsorted) % 0.36/0.69 (declare-const tptp.n2 $$unsorted) % 0.36/0.69 (define @t1 () (@var "Y" $$unsorted)) % 0.36/0.69 (define @t2 () (@var "X" $$unsorted)) % 0.36/0.69 (define @t3 () (= @t2 @t1)) % 0.36/0.69 (define @t4 () (tptp.gt @t1 @t2)) % 0.36/0.69 (define @t5 () (tptp.gt @t2 @t1)) % 0.36/0.69 (define @t6 () (@list @t2 @t1)) % 0.36/0.69 (define @t7 () (@var "Z" $$unsorted)) % 0.36/0.69 (define @t8 () (@list @t2 @t1 @t7)) % 0.36/0.69 (define @t9 () (@list @t2)) % 0.36/0.69 (define @t10 () (tptp.leq @t2 @t1)) % 0.36/0.69 (define @t11 () (forall @t6 (=> @t4 @t10))) % 0.36/0.69 (define @t12 () (tptp.leq @t2 (tptp.pred @t1))) % 0.36/0.69 (define @t13 () (forall @t6 (= @t12 @t4))) % 0.36/0.69 (define @t14 () (tptp.succ @t2)) % 0.36/0.69 (define @t15 () (tptp.succ @t1)) % 0.36/0.69 (define @t16 () (@var "C" $$unsorted)) % 0.36/0.69 (define @t17 () (tptp.uniform_int_rnd @t16 @t2)) % 0.36/0.69 (define @t18 () (tptp.leq tptp.n0 @t2)) % 0.36/0.69 (define @t19 () (@list @t2 @t16)) % 0.36/0.69 (define @t20 () (@var "Val" $$unsorted)) % 0.36/0.69 (define @t21 () (@var "I" $$unsorted)) % 0.36/0.69 (define @t22 () (@var "U" $$unsorted)) % 0.36/0.69 (define @t23 () (@var "L" $$unsorted)) % 0.36/0.69 (define @t24 () (tptp.leq @t21 @t22)) % 0.36/0.69 (define @t25 () (@var "J" $$unsorted)) % 0.36/0.69 (define @t26 () (@var "U2" $$unsorted)) % 0.36/0.69 (define @t27 () (@var "L2" $$unsorted)) % 0.36/0.69 (define @t28 () (@var "U1" $$unsorted)) % 0.36/0.69 (define @t29 () (@var "L1" $$unsorted)) % 0.36/0.69 (define @t30 () (@var "A" $$unsorted)) % 0.36/0.69 (define @t31 () (tptp.trans @t30)) % 0.36/0.69 (define @t32 () (@var "N" $$unsorted)) % 0.36/0.69 (define @t33 () (tptp.leq @t25 @t32)) % 0.36/0.69 (define @t34 () (tptp.leq tptp.n0 @t25)) % 0.36/0.69 (define @t35 () (tptp.leq @t21 @t32)) % 0.36/0.69 (define @t36 () (tptp.leq tptp.n0 @t21)) % 0.36/0.69 (define @t37 () (and @t36 @t35 @t34 @t33)) % 0.36/0.69 (define @t38 () (@list @t21 @t25)) % 0.36/0.69 (define @t39 () (forall @t38 (=> @t37 (= (tptp.a_select3 @t30 @t21 @t25) (tptp.a_select3 @t30 @t25 @t21))))) % 0.36/0.69 (define @t40 () (@list @t30 @t32)) % 0.36/0.69 (define @t41 () (tptp.inv @t30)) % 0.36/0.69 (define @t42 () (@var "VAL" $$unsorted)) % 0.36/0.69 (define @t43 () (@var "K" $$unsorted)) % 0.36/0.69 (define @t44 () (tptp.tptp_update3 @t30 @t43 @t43 @t42)) % 0.36/0.69 (define @t45 () (@var "B" $$unsorted)) % 0.36/0.69 (define @t46 () (tptp.tptp_madd @t30 @t45)) % 0.36/0.69 (define @t47 () (= (tptp.a_select3 @t45 @t21 @t25) (tptp.a_select3 @t45 @t25 @t21))) % 0.36/0.69 (define @t48 () (forall @t38 (=> @t37 @t47))) % 0.36/0.69 (define @t49 () (and @t39 @t48)) % 0.36/0.69 (define @t50 () (@list @t30 @t45 @t32)) % 0.36/0.69 (define @t51 () (tptp.tptp_msub @t30 @t45)) % 0.36/0.69 (define @t52 () (tptp.tptp_mmul @t30 (tptp.tptp_mmul @t45 @t31))) % 0.36/0.69 (define @t53 () (forall @t38 (=> @t37 (= (tptp.a_select3 @t52 @t21 @t25) (tptp.a_select3 @t52 @t25 @t21))))) % 0.36/0.69 (define @t54 () (@var "M" $$unsorted)) % 0.36/0.69 (define @t55 () (and @t36 (tptp.leq @t21 @t54) @t34 (tptp.leq @t25 @t54))) % 0.36/0.69 (define @t56 () (@var "E" $$unsorted)) % 0.36/0.69 (define @t57 () (@var "F" $$unsorted)) % 0.36/0.69 (define @t58 () (@var "D" $$unsorted)) % 0.36/0.69 (define @t59 () (tptp.tptp_madd @t30 (tptp.tptp_mmul @t45 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t16 (tptp.tptp_mmul @t58 (tptp.trans @t16))) (tptp.tptp_mmul @t56 (tptp.tptp_mmul @t57 (tptp.trans @t56)))) (tptp.trans @t45))))) % 0.36/0.69 (define @t60 () (@var "Body" $$unsorted)) % 0.36/0.69 (define @t61 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t60)) % 0.36/0.69 (define @t62 () (@list @t60)) % 0.36/0.69 (define @t63 () (tptp.succ @t14)) % 0.36/0.69 (define @t64 () (tptp.succ @t63)) % 0.36/0.69 (define @t65 () (tptp.succ @t64)) % 0.36/0.69 (define @t66 () (tptp.succ @t65)) % 0.36/0.69 (define @t67 () (tptp.pred @t2)) % 0.36/0.69 (define @t68 () (tptp.pred @t14)) % 0.36/0.69 (define @t69 () (forall @t9 (= @t68 @t2))) % 0.36/0.69 (define @t70 () (@var "V" $$unsorted)) % 0.36/0.69 (define @t71 () (tptp.tptp_update3 @t2 @t22 @t70 @t42)) % 0.36/0.69 (define @t72 () (@var "VAL2" $$unsorted)) % 0.36/0.69 (define @t73 () (not (= @t21 @t22))) % 0.36/0.69 (define @t74 () (@var "J0" $$unsorted)) % 0.36/0.69 (define @t75 () (@var "I0" $$unsorted)) % 0.36/0.69 (define @t76 () (tptp.leq @t75 @t22)) % 0.36/0.69 (define @t77 () (tptp.leq tptp.n0 @t75)) % 0.36/0.69 (define @t78 () (tptp.tptp_update2 @t2 @t22 @t42)) % 0.36/0.69 (define @t79 () (tptp.a_select2 tptp.sigma tptp.tptp_sum_index)) % 0.36/0.69 (define @t80 () (tptp.sqrt (tptp.times tptp.n2 tptp.tptp_pi))) % 0.36/0.69 (define @t81 () (tptp.a_select2 tptp.x tptp.pv10)) % 0.36/0.69 (define @t82 () (tptp.minus @t81 (tptp.a_select2 tptp.mu tptp.tptp_sum_index))) % 0.36/0.69 (define @t83 () (tptp.sum tptp.n0 tptp.n4 (tptp.divide (tptp.times (tptp.exp (tptp.divide (tptp.divide (tptp.times @t82 @t82) tptp.tptp_minus_2) (tptp.times @t79 @t79))) (tptp.a_select2 tptp.rho tptp.tptp_sum_index)) (tptp.times @t80 @t79)))) % 0.36/0.69 (define @t84 () (tptp.a_select2 tptp.sigma @t16)) % 0.36/0.69 (define @t85 () (tptp.minus @t81 (tptp.a_select2 tptp.mu @t16))) % 0.36/0.69 (define @t86 () (= (tptp.a_select3 tptp.q tptp.pv10 @t16) (tptp.divide (tptp.divide (tptp.times (tptp.exp (tptp.divide (tptp.divide (tptp.times @t85 @t85) tptp.tptp_minus_2) (tptp.times @t84 @t84))) (tptp.a_select2 tptp.rho @t16)) (tptp.times @t80 @t84)) @t83))) % 0.36/0.69 (define @t87 () (not (= tptp.pv47 @t16))) % 0.36/0.69 (define @t88 () (=> @t87 @t86)) % 0.36/0.69 (define @t89 () (tptp.leq @t16 tptp.pv47)) % 0.36/0.69 (define @t90 () (tptp.leq tptp.n0 @t16)) % 0.36/0.69 (define @t91 () (and @t90 @t89)) % 0.36/0.69 (define @t92 () (=> @t91 @t88)) % 0.36/0.69 (define @t93 () (@list @t16)) % 0.36/0.69 (define @t94 () (forall @t93 @t92)) % 0.36/0.69 (define @t95 () (tptp.sum tptp.n0 tptp.n4 (tptp.a_select3 tptp.q @t45 tptp.tptp_sum_index))) % 0.36/0.69 (define @t96 () (tptp.leq @t45 (tptp.pred tptp.pv10))) % 0.36/0.69 (define @t97 () (tptp.leq tptp.n0 @t45)) % 0.36/0.69 (define @t98 () (and @t97 @t96)) % 0.36/0.69 (define @t99 () (=> @t98 (= @t95 tptp.n1))) % 0.36/0.69 (define @t100 () (@list @t45)) % 0.36/0.69 (define @t101 () (forall @t100 @t99)) % 0.36/0.69 (define @t102 () (tptp.a_select2 tptp.sigma @t30)) % 0.36/0.69 (define @t103 () (tptp.minus @t81 (tptp.a_select2 tptp.mu @t30))) % 0.36/0.69 (define @t104 () (= (tptp.a_select3 tptp.q tptp.pv10 @t30) (tptp.divide (tptp.divide (tptp.times (tptp.exp (tptp.divide (tptp.divide (tptp.times @t103 @t103) tptp.tptp_minus_2) (tptp.times @t102 @t102))) (tptp.a_select2 tptp.rho @t30)) (tptp.times @t80 @t102)) @t83))) % 0.36/0.69 (define @t105 () (tptp.pred tptp.pv47)) % 0.36/0.69 (define @t106 () (tptp.leq @t30 @t105)) % 0.36/0.69 (define @t107 () (tptp.leq tptp.n0 @t30)) % 0.36/0.69 (define @t108 () (and @t107 @t106)) % 0.36/0.69 (define @t109 () (forall (@list @t30) (=> @t108 @t104))) % 0.36/0.69 (define @t110 () (tptp.leq tptp.pv47 tptp.n4)) % 0.36/0.69 (define @t111 () (tptp.leq tptp.pv10 tptp.n135299)) % 0.36/0.69 (define @t112 () (tptp.leq tptp.n0 tptp.pv47)) % 0.36/0.69 (define @t113 () (tptp.leq tptp.n0 tptp.pv10)) % 0.36/0.69 (define @t114 () (= tptp.pv84 @t83)) % 0.36/0.69 (define @t115 () (and @t114 @t113 @t112 @t111 @t110 @t109 @t101)) % 0.36/0.69 (define @t116 () (=> @t115 @t94)) % 0.36/0.69 (define @t117 () (not @t116)) % 0.36/0.69 (define @t118 () (tptp.gt tptp.n1 tptp.n0)) % 0.36/0.69 (define @t119 () (tptp.gt tptp.n2 tptp.n0)) % 0.36/0.69 (define @t120 () (tptp.gt tptp.n3 tptp.n0)) % 0.36/0.69 (define @t121 () (tptp.gt tptp.n2 tptp.n1)) % 0.36/0.69 (define @t122 () (tptp.gt tptp.n3 tptp.n1)) % 0.36/0.69 (define @t123 () (tptp.gt tptp.n3 tptp.n2)) % 0.36/0.69 (define @t124 () (tptp.gt tptp.n4 tptp.n3)) % 0.36/0.69 (define @t125 () (= @t2 tptp.n4)) % 0.36/0.69 (define @t126 () (= @t2 tptp.n3)) % 0.36/0.69 (define @t127 () (= @t2 tptp.n2)) % 0.36/0.69 (define @t128 () (= @t2 tptp.n1)) % 0.36/0.69 (define @t129 () (= @t2 tptp.n0)) % 0.36/0.69 (define @t130 () (or @t129 @t128 @t127 @t126 @t125)) % 0.36/0.69 (define @t131 () (tptp.leq @t2 tptp.n4)) % 0.36/0.69 (define @t132 () (and @t18 @t131)) % 0.36/0.69 (define @t133 () (forall @t9 (=> @t132 @t130))) % 0.36/0.69 (define @t134 () (tptp.leq @t2 tptp.n0)) % 0.36/0.69 (define @t135 () (and @t18 @t134)) % 0.36/0.69 (define @t136 () (forall @t9 (=> @t135 @t129))) % 0.36/0.69 (define @t137 () (or @t129 @t128)) % 0.36/0.69 (define @t138 () (tptp.leq @t2 tptp.n1)) % 0.36/0.69 (define @t139 () (and @t18 @t138)) % 0.36/0.69 (define @t140 () (forall @t9 (=> @t139 @t137))) % 0.36/0.69 (define @t141 () (or @t129 @t128 @t127)) % 0.36/0.69 (define @t142 () (tptp.leq @t2 tptp.n2)) % 0.36/0.69 (define @t143 () (and @t18 @t142)) % 0.36/0.69 (define @t144 () (forall @t9 (=> @t143 @t141))) % 0.36/0.69 (define @t145 () (or @t129 @t128 @t127 @t126)) % 0.36/0.69 (define @t146 () (tptp.leq @t2 tptp.n3)) % 0.36/0.69 (define @t147 () (and @t18 @t146)) % 0.36/0.69 (define @t148 () (forall @t9 (=> @t147 @t145))) % 0.36/0.69 (define @t149 () (tptp.succ tptp.n0)) % 0.36/0.69 (define @t150 () (tptp.succ @t149)) % 0.36/0.69 (define @t151 () (tptp.succ @t150)) % 0.36/0.69 (define @t152 () (tptp.succ @t151)) % 0.36/0.69 (define @t153 () (@list tptp.n2 tptp.n3)) % 0.36/0.69 (define @t154 () (tptp.leq tptp.n2 tptp.n3)) % 0.36/0.69 (define @t155 () (not @t123)) % 0.36/0.69 (define @t156 () (or @t155 @t154)) % 0.36/0.69 (define @t157 () (@list false false)) % 0.36/0.69 (define @t158 () (= @t16 tptp.pv47)) % 0.36/0.69 (define @t159 () (not @t89)) % 0.36/0.69 (define @t160 () (not @t90)) % 0.36/0.69 (define @t161 () (or @t160 @t159 @t158 @t86)) % 0.36/0.69 (define @t162 () (not @t158)) % 0.36/0.69 (define @t163 () (=> @t162 @t86)) % 0.36/0.69 (define @t164 () (= tptp.n1 @t95)) % 0.36/0.69 (define @t165 () (not @t96)) % 0.36/0.69 (define @t166 () (not @t97)) % 0.36/0.69 (define @t167 () (not @t106)) % 0.36/0.69 (define @t168 () (not @t107)) % 0.36/0.69 (define @t169 () (forall @t93 @t161)) % 0.36/0.69 (define @t170 () (@quantifiers_skolemize @t169 0)) % 0.36/0.69 (define @t171 () (@list @t170)) % 0.36/0.69 (define @t172 () (tptp.a_select2 tptp.sigma @t170)) % 0.36/0.69 (define @t173 () (tptp.minus @t81 (tptp.a_select2 tptp.mu @t170))) % 0.36/0.69 (define @t174 () (= (tptp.a_select3 tptp.q tptp.pv10 @t170) (tptp.divide (tptp.divide (tptp.times (tptp.exp (tptp.divide (tptp.divide (tptp.times @t173 @t173) tptp.tptp_minus_2) (tptp.times @t172 @t172))) (tptp.a_select2 tptp.rho @t170)) (tptp.times @t80 @t172)) @t83))) % 0.36/0.69 (define @t175 () (= tptp.pv47 @t170)) % 0.36/0.69 (define @t176 () (tptp.leq @t170 tptp.pv47)) % 0.36/0.69 (define @t177 () (not @t176)) % 0.36/0.69 (define @t178 () (tptp.leq tptp.n0 @t170)) % 0.36/0.69 (define @t179 () (not @t178)) % 0.36/0.69 (define @t180 () (or @t179 @t177 @t175 @t174)) % 0.36/0.69 (define @t181 () (not @t180)) % 0.36/0.69 (define @t182 () (not @t169)) % 0.36/0.69 (define @t183 () (or @t179 @t177 (= @t170 tptp.pv47) @t174)) % 0.36/0.69 (define @t184 () (not @t183)) % 0.36/0.69 (define @t185 () (@list true)) % 0.36/0.69 (define @t186 () (@list @t180)) % 0.36/0.69 (define @t187 () (tptp.leq @t170 @t105)) % 0.36/0.69 (define @t188 () (not @t187)) % 0.36/0.69 (define @t189 () (or @t179 @t188 @t174)) % 0.36/0.69 (define @t190 () (not @t131)) % 0.36/0.69 (define @t191 () (not @t18)) % 0.36/0.69 (define @t192 () (or @t191 @t190 @t129 @t128 @t127 @t126 @t125)) % 0.36/0.69 (define @t193 () (not @t110)) % 0.36/0.69 (define @t194 () (not @t112)) % 0.36/0.69 (define @t195 () (or @t194 @t193 (= tptp.pv47 tptp.n0) (= tptp.pv47 tptp.n1) (= tptp.pv47 tptp.n2) (= tptp.pv47 tptp.n3) (= tptp.pv47 tptp.n4))) % 0.36/0.69 (define @t196 () (forall @t9 @t192)) % 0.36/0.69 (define @t197 () (= tptp.n4 tptp.pv47)) % 0.36/0.69 (define @t198 () (= tptp.n3 tptp.pv47)) % 0.36/0.69 (define @t199 () (= tptp.n2 tptp.pv47)) % 0.36/0.69 (define @t200 () (= tptp.n1 tptp.pv47)) % 0.36/0.69 (define @t201 () (= tptp.n0 tptp.pv47)) % 0.36/0.69 (define @t202 () (or @t194 @t193 @t201 @t200 @t199 @t198 @t197)) % 0.36/0.69 (define @t203 () (@list false)) % 0.36/0.69 (define @t204 () (@list @t196)) % 0.36/0.69 (define @t205 () (tptp.leq @t170 tptp.n3)) % 0.36/0.69 (define @t206 () (not @t198)) % 0.36/0.69 (define @t207 () (not @t205)) % 0.36/0.69 (define @t208 () (= true false)) % 0.36/0.69 (define @t209 () (and @t207 @t198 @t176)) % 0.36/0.69 (define @t210 () (not @t175)) % 0.36/0.69 (define @t211 () (= tptp.n3 @t170)) % 0.36/0.69 (define @t212 () (not @t211)) % 0.36/0.69 (define @t213 () (not @t210)) % 0.36/0.69 (define @t214 () (and @t210 @t198)) % 0.36/0.69 (define @t215 () (@list tptp.n1 tptp.n2)) % 0.36/0.69 (define @t216 () (tptp.leq tptp.n1 tptp.n2)) % 0.36/0.69 (define @t217 () (not @t121)) % 0.36/0.69 (define @t218 () (or @t217 @t216)) % 0.36/0.69 (define @t219 () (= tptp.n1 @t170)) % 0.36/0.69 (define @t220 () (not @t219)) % 0.36/0.69 (define @t221 () (tptp.pred @t151)) % 0.36/0.69 (define @t222 () (= @t150 @t221)) % 0.36/0.69 (define @t223 () (not @t222)) % 0.36/0.69 (define @t224 () (not @t216)) % 0.36/0.69 (define @t225 () (= tptp.n3 @t151)) % 0.36/0.69 (define @t226 () (not @t225)) % 0.36/0.69 (define @t227 () (= tptp.n2 @t150)) % 0.36/0.69 (define @t228 () (not @t227)) % 0.36/0.69 (define @t229 () (not @t188)) % 0.36/0.69 (define @t230 () (= false true)) % 0.36/0.69 (define @t231 () (tptp.pred tptp.n3)) % 0.36/0.69 (define @t232 () (and @t216 @t219 @t227 @t222 @t225 @t198 @t188)) % 0.36/0.69 (define @t233 () (not @t146)) % 0.36/0.69 (define @t234 () (or @t191 @t233 @t129 @t128 @t127 @t126)) % 0.36/0.69 (define @t235 () (= @t170 tptp.n3)) % 0.36/0.69 (define @t236 () (= @t170 tptp.n2)) % 0.36/0.69 (define @t237 () (= @t170 tptp.n1)) % 0.36/0.69 (define @t238 () (= @t170 tptp.n0)) % 0.36/0.69 (define @t239 () (or @t179 @t207 @t238 @t237 @t236 @t235)) % 0.36/0.69 (define @t240 () (forall @t9 @t234)) % 0.36/0.69 (define @t241 () (= tptp.n2 @t170)) % 0.36/0.69 (define @t242 () (= tptp.n0 @t170)) % 0.36/0.69 (define @t243 () (or @t179 @t207 @t242 @t219 @t241 @t211)) % 0.36/0.69 (define @t244 () (@list tptp.n0 tptp.n1)) % 0.36/0.69 (define @t245 () (tptp.leq tptp.n0 tptp.n1)) % 0.36/0.69 (define @t246 () (not @t118)) % 0.36/0.69 (define @t247 () (or @t246 @t245)) % 0.36/0.69 (define @t248 () (not @t199)) % 0.36/0.69 (define @t249 () (tptp.pred @t150)) % 0.36/0.69 (define @t250 () (= @t149 @t249)) % 0.36/0.69 (define @t251 () (not @t250)) % 0.36/0.69 (define @t252 () (not @t242)) % 0.36/0.69 (define @t253 () (not @t245)) % 0.36/0.69 (define @t254 () (= tptp.n1 @t149)) % 0.36/0.69 (define @t255 () (not @t254)) % 0.36/0.69 (define @t256 () (tptp.pred tptp.n2)) % 0.36/0.69 (define @t257 () (and @t245 @t242 @t254 @t250 @t227 @t199 @t188)) % 0.36/0.69 (define @t258 () (tptp.leq tptp.n0 tptp.n3)) % 0.36/0.69 (define @t259 () (not @t120)) % 0.36/0.69 (define @t260 () (or @t259 @t258)) % 0.36/0.69 (define @t261 () (tptp.pred @t152)) % 0.36/0.69 (define @t262 () (= @t151 @t261)) % 0.36/0.69 (define @t263 () (not @t262)) % 0.36/0.69 (define @t264 () (not @t197)) % 0.36/0.69 (define @t265 () (not @t258)) % 0.36/0.69 (define @t266 () (= tptp.n4 @t152)) % 0.36/0.69 (define @t267 () (not @t266)) % 0.36/0.69 (define @t268 () (tptp.pred tptp.n4)) % 0.36/0.69 (define @t269 () (and @t258 @t242 @t225 @t262 @t266 @t197 @t188)) % 0.36/0.69 (define @t270 () (tptp.leq tptp.n0 (tptp.pred tptp.n1))) % 0.36/0.69 (define @t271 () (= @t118 @t270)) % 0.36/0.69 (define @t272 () (not @t200)) % 0.36/0.69 (define @t273 () (tptp.pred @t149)) % 0.36/0.69 (define @t274 () (= tptp.n0 @t273)) % 0.36/0.69 (define @t275 () (not @t274)) % 0.36/0.69 (define @t276 () (not @t270)) % 0.36/0.69 (define @t277 () (and @t270 @t254 @t274 @t242 @t200 @t188)) % 0.36/0.69 (define @t278 () (tptp.leq @t170 tptp.n0)) % 0.36/0.69 (define @t279 () (not @t201)) % 0.36/0.69 (define @t280 () (not @t278)) % 0.36/0.69 (define @t281 () (and @t280 @t201 @t176)) % 0.36/0.69 (define @t282 () (not @t134)) % 0.36/0.69 (define @t283 () (or @t191 @t282 @t129)) % 0.36/0.69 (define @t284 () (or @t179 @t280 @t238)) % 0.36/0.69 (define @t285 () (forall @t9 @t283)) % 0.36/0.69 (define @t286 () (or @t179 @t280 @t242)) % 0.36/0.69 (define @t287 () (and @t210 @t201)) % 0.36/0.69 (define @t288 () (tptp.leq tptp.n0 tptp.n2)) % 0.36/0.69 (define @t289 () (not @t119)) % 0.36/0.69 (define @t290 () (or @t289 @t288)) % 0.36/0.69 (define @t291 () (not @t288)) % 0.36/0.69 (define @t292 () (and @t288 @t242 @t227 @t222 @t225 @t198 @t188)) % 0.36/0.69 (define @t293 () (tptp.leq tptp.n2 @t231)) % 0.36/0.69 (define @t294 () (= @t123 @t293)) % 0.36/0.69 (define @t295 () (not @t241)) % 0.36/0.69 (define @t296 () (not @t293)) % 0.36/0.69 (define @t297 () (and @t293 @t225 @t222 @t241 @t198 @t188)) % 0.36/0.69 (define @t298 () (tptp.leq @t170 tptp.n2)) % 0.36/0.69 (define @t299 () (not @t298)) % 0.36/0.69 (define @t300 () (and @t299 @t199 @t176)) % 0.36/0.69 (define @t301 () (and @t210 @t199)) % 0.36/0.69 (define @t302 () (not @t142)) % 0.36/0.69 (define @t303 () (or @t191 @t302 @t129 @t128 @t127)) % 0.36/0.69 (define @t304 () (or @t179 @t299 @t238 @t237 @t236)) % 0.36/0.69 (define @t305 () (forall @t9 @t303)) % 0.36/0.69 (define @t306 () (or @t179 @t299 @t242 @t219 @t241)) % 0.36/0.69 (define @t307 () (tptp.leq tptp.n1 @t256)) % 0.36/0.69 (define @t308 () (= @t121 @t307)) % 0.36/0.69 (define @t309 () (not @t307)) % 0.36/0.69 (define @t310 () (and @t307 @t227 @t250 @t219 @t199 @t188)) % 0.36/0.69 (define @t311 () (not @t138)) % 0.36/0.69 (define @t312 () (or @t191 @t311 @t129 @t128)) % 0.36/0.69 (define @t313 () (tptp.leq @t170 tptp.n1)) % 0.36/0.69 (define @t314 () (not @t313)) % 0.36/0.69 (define @t315 () (or @t179 @t314 @t238 @t237)) % 0.36/0.69 (define @t316 () (forall @t9 @t312)) % 0.36/0.69 (define @t317 () (or @t179 @t314 @t242 @t219)) % 0.36/0.69 (define @t318 () (tptp.leq tptp.n1 tptp.n3)) % 0.36/0.69 (define @t319 () (not @t122)) % 0.36/0.69 (define @t320 () (or @t319 @t318)) % 0.36/0.69 (define @t321 () (not @t318)) % 0.36/0.69 (define @t322 () (and @t318 @t219 @t225 @t262 @t266 @t197 @t188)) % 0.36/0.69 (define @t323 () (and @t254 @t200 @t219 @t210)) % 0.36/0.69 (define @t324 () (and @t314 @t200 @t176)) % 0.36/0.69 (define @t325 () (tptp.leq @t170 tptp.n4)) % 0.36/0.69 (define @t326 () (not @t325)) % 0.36/0.69 (define @t327 () (or @t179 @t326 @t238 @t237 @t236 @t235 (= @t170 tptp.n4))) % 0.36/0.69 (define @t328 () (= tptp.n4 @t170)) % 0.36/0.69 (define @t329 () (or @t179 @t326 @t242 @t219 @t241 @t211 @t328)) % 0.36/0.69 (define @t330 () (not @t328)) % 0.36/0.69 (define @t331 () (and @t210 @t197)) % 0.36/0.69 (define @t332 () (tptp.leq tptp.n3 @t268)) % 0.36/0.69 (define @t333 () (= @t124 @t332)) % 0.36/0.69 (define @t334 () (not @t332)) % 0.36/0.69 (define @t335 () (and @t188 @t197 @t266 @t262 @t225 @t211 @t332)) % 0.36/0.69 (define @t336 () (and @t326 @t197 @t176)) % 0.36/0.69 (define @t337 () (not @t154)) % 0.36/0.69 (define @t338 () (and @t154 @t241 @t225 @t262 @t266 @t197 @t188)) % 0.36/0.69 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.36/0.69 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.36/0.69 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.36/0.69 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.36/0.69 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.36/0.69 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.36/0.69 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.36/0.69 (assume @p8 @t11) % 0.36/0.69 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.36/0.69 (assume @p10 @t13) % 0.36/0.69 (assume @p11 (forall @t9 (tptp.gt @t14 @t2))) % 0.36/0.69 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t15)))) % 0.36/0.69 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t15 @t2)))) % 0.36/0.69 (assume @p14 (forall @t19 (=> @t18 (tptp.leq @t17 @t2)))) % 0.36/0.69 (assume @p15 (forall @t19 (=> @t18 (tptp.leq tptp.n0 @t17)))) % 0.36/0.70 (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)))) % 0.36/0.70 (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)))) % 0.36/0.70 (assume @p18 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (= (tptp.a_select3 @t31 @t21 @t25) (tptp.a_select3 @t31 @t25 @t21))))))) % 0.36/0.70 (assume @p19 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (= (tptp.a_select3 @t41 @t21 @t25) (tptp.a_select3 @t41 @t25 @t21))))))) % 0.36/0.70 (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))))))) % 0.36/0.70 (assume @p21 (forall @t50 (=> @t49 (forall @t38 (=> @t37 (= (tptp.a_select3 @t46 @t21 @t25) (tptp.a_select3 @t46 @t25 @t21))))))) % 0.36/0.70 (assume @p22 (forall @t50 (=> @t49 (forall @t38 (=> @t37 (= (tptp.a_select3 @t51 @t21 @t25) (tptp.a_select3 @t51 @t25 @t21))))))) % 0.36/0.70 (assume @p23 (forall @t50 (=> @t48 @t53))) % 0.36/0.70 (assume @p24 (forall (@list @t30 @t45 @t32 @t54) (=> (forall @t38 (=> @t55 @t47)) @t53))) % 0.36/0.70 (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))))))) % 0.36/0.70 (assume @p26 (forall @t62 (= @t61 tptp.n0))) % 0.36/0.70 (assume @p27 (forall @t62 (= tptp.tptp_float_0_0 @t61))) % 0.36/0.70 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.36/0.70 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t14))) % 0.36/0.70 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t14))) % 0.36/0.70 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t63))) % 0.36/0.70 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t63))) % 0.36/0.70 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t64))) % 0.36/0.70 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t64))) % 0.36/0.70 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t65))) % 0.36/0.70 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t65))) % 0.36/0.70 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t66))) % 0.36/0.70 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t66))) % 0.36/0.70 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t67))) % 0.36/0.70 (assume @p40 @t69) % 0.36/0.70 (assume @p41 (forall @t9 (= (tptp.succ @t67) @t2))) % 0.36/0.70 (assume @p42 (forall @t6 (= (tptp.leq @t14 @t15) @t10))) % 0.36/0.70 (assume @p43 (forall @t6 (=> (tptp.leq @t14 @t1) @t4))) % 0.36/0.70 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.36/0.70 (assume @p45 (forall (@list @t2 @t22 @t70 @t42) (= (tptp.a_select3 @t71 @t22 @t70) @t42))) % 0.36/0.70 (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)))) % 0.36/0.70 (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)))) % 0.36/0.70 (assume @p48 (forall (@list @t2 @t22 @t42) (= (tptp.a_select2 @t78 @t22) @t42))) % 0.36/0.70 (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)))) % 0.36/0.70 (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)))) % 0.36/0.70 (assume @p51 tptp.true) % 0.36/0.70 (assume @p52 (not (= tptp.def tptp.use))) % 0.36/0.70 (assume @p53 @t117) % 0.36/0.70 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.36/0.70 (assume @p55 (tptp.gt tptp.n135299 tptp.n4)) % 0.36/0.70 (assume @p56 (tptp.gt tptp.n135299 tptp.n5)) % 0.36/0.70 (assume @p57 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.36/0.70 (assume @p58 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.36/0.70 (assume @p59 (tptp.gt tptp.n135299 tptp.tptp_minus_1)) % 0.36/0.70 (assume @p60 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.36/0.70 (assume @p61 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.36/0.70 (assume @p62 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.36/0.70 (assume @p63 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.36/0.70 (assume @p64 (tptp.gt tptp.n4 tptp.tptp_minus_2)) % 0.36/0.70 (assume @p65 (tptp.gt tptp.n5 tptp.tptp_minus_2)) % 0.36/0.70 (assume @p66 (tptp.gt tptp.tptp_minus_1 tptp.tptp_minus_2)) % 0.36/0.70 (assume @p67 (tptp.gt tptp.n135299 tptp.tptp_minus_2)) % 0.36/0.70 (assume @p68 (tptp.gt tptp.n0 tptp.tptp_minus_2)) % 0.36/0.70 (assume @p69 (tptp.gt tptp.n1 tptp.tptp_minus_2)) % 0.36/0.70 (assume @p70 (tptp.gt tptp.n2 tptp.tptp_minus_2)) % 0.36/0.70 (assume @p71 (tptp.gt tptp.n3 tptp.tptp_minus_2)) % 0.36/0.70 (assume @p72 (tptp.gt tptp.n4 tptp.n0)) % 0.36/0.70 (assume @p73 (tptp.gt tptp.n5 tptp.n0)) % 0.36/0.70 (assume @p74 (tptp.gt tptp.n135299 tptp.n0)) % 0.36/0.70 (assume @p75 @t118) % 0.36/0.70 (assume @p76 @t119) % 0.36/0.70 (assume @p77 @t120) % 0.36/0.70 (assume @p78 (tptp.gt tptp.n4 tptp.n1)) % 0.36/0.70 (assume @p79 (tptp.gt tptp.n5 tptp.n1)) % 0.36/0.70 (assume @p80 (tptp.gt tptp.n135299 tptp.n1)) % 0.36/0.70 (assume @p81 @t121) % 0.36/0.70 (assume @p82 @t122) % 0.36/0.70 (assume @p83 (tptp.gt tptp.n4 tptp.n2)) % 0.36/0.70 (assume @p84 (tptp.gt tptp.n5 tptp.n2)) % 0.36/0.70 (assume @p85 (tptp.gt tptp.n135299 tptp.n2)) % 0.36/0.70 (assume @p86 @t123) % 0.36/0.70 (assume @p87 @t124) % 0.36/0.70 (assume @p88 (tptp.gt tptp.n5 tptp.n3)) % 0.36/0.70 (assume @p89 (tptp.gt tptp.n135299 tptp.n3)) % 0.36/0.70 (assume @p90 @t133) % 0.36/0.70 (assume @p91 (forall @t9 (=> (and @t18 (tptp.leq @t2 tptp.n5)) (or @t129 @t128 @t127 @t126 @t125 (= @t2 tptp.n5))))) % 0.36/0.70 (assume @p92 @t136) % 0.36/0.70 (assume @p93 @t140) % 0.36/0.70 (assume @p94 @t144) % 0.36/0.70 (assume @p95 @t148) % 0.36/0.70 (assume @p96 (= @t152 tptp.n4)) % 0.36/0.70 (assume @p97 (= (tptp.succ @t152) tptp.n5)) % 0.36/0.70 (assume @p98 (= @t149 tptp.n1)) % 0.36/0.70 (assume @p99 (= @t150 tptp.n2)) % 0.36/0.70 (assume @p100 (= @t151 tptp.n3)) % 0.36/0.70 (assume @p101 true) % 0.36/0.70 (step @p102 :rule symm :premises (@p96)) % 0.36/0.70 (step @p103 :rule symm :premises (@p100)) % 0.36/0.70 (step @p104 :rule eq-symm :args (@t68 @t2)) % 0.36/0.70 (step @p105 :rule cong :premises (@p104) :args (@t69)) % 0.36/0.70 (step @p106 :rule eq_resolve :premises (@p40 @p105)) % 0.36/0.70 (step @p107 :rule instantiate :premises (@p106) :args ((@list @t151))) % 0.36/0.70 (step @p108 :rule bool-impl-elim :args (@t4 @t10)) % 0.36/0.70 (step @p109 :rule cong :premises (@p108) :args (@t11)) % 0.36/0.70 (step @p110 :rule eq_resolve :premises (@p8 @p109)) % 0.36/0.70 (step @p111 :rule instantiate :premises (@p110) :args (@t153)) % 0.36/0.70 (step @p112 :rule cnf_or_pos :args (@t156)) % 0.36/0.70 (step @p113 :rule reordering :premises (@p112) :args ((or @t155 @t154 (not @t156)))) % 0.36/0.70 (step @p114 :rule chain_m_resolution :premises (@p113 @p86 @p111) :args (@t154 @t157 (@list @t123 @t156))) % 0.36/0.70 (step @p115 :rule aci_norm :args ((= (or (or @t160 @t159) (or @t158 @t86)) @t161))) % 0.36/0.70 (step @p116 :rule refl :args (@t86)) % 0.36/0.70 (step @p117 :rule bool-double-not-elim :args (@t158)) % 0.36/0.70 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or (not @t162) @t86))) % 0.36/0.70 (step @p119 :rule bool-impl-elim :args (@t162 @t86)) % 0.36/0.70 (step @p120 :rule trans :premises (@p119 @p118)) % 0.36/0.70 (step @p121 :rule bool-and-de-morgan :args (@t90 @t89 true)) % 0.36/0.70 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or (not @t91) @t163))) % 0.36/0.70 (step @p123 :rule trans :premises (@p122 @p115)) % 0.36/0.70 (step @p124 :rule bool-impl-elim :args (@t91 @t163)) % 0.36/0.70 (step @p125 :rule trans :premises (@p124 @p123)) % 0.36/0.70 (step @p126 :rule cong :premises (@p125) :args ((forall @t93 (=> @t91 @t163)))) % 0.36/0.70 (step @p127 :rule refl :args (@t86)) % 0.36/0.70 (step @p128 :rule eq-symm :args (tptp.pv47 @t16)) % 0.36/0.70 (step @p129 :rule cong :premises (@p128) :args (@t87)) % 0.36/0.70 (step @p130 :rule cong :premises (@p129 @p127) :args (@t88)) % 0.36/0.70 (step @p131 :rule refl :args (@t91)) % 0.36/0.70 (step @p132 :rule cong :premises (@p131 @p130) :args (@t92)) % 0.36/0.70 (step @p133 :rule cong :premises (@p132) :args (@t94)) % 0.36/0.70 (step @p134 :rule trans :premises (@p133 @p126)) % 0.36/0.70 (step @p135 :rule aci_norm :args ((= (or (or @t166 @t165) @t164) (or @t166 @t165 @t164)))) % 0.36/0.70 (step @p136 :rule refl :args (@t164)) % 0.36/0.70 (step @p137 :rule bool-and-de-morgan :args (@t97 @t96 true)) % 0.36/0.70 (step @p138 :rule nary_cong :premises (@p137 @p136) :args ((or (not @t98) @t164))) % 0.36/0.70 (step @p139 :rule trans :premises (@p138 @p135)) % 0.36/0.70 (step @p140 :rule bool-impl-elim :args (@t98 @t164)) % 0.36/0.70 (step @p141 :rule trans :premises (@p140 @p139)) % 0.36/0.70 (step @p142 :rule cong :premises (@p141) :args ((forall @t100 (=> @t98 @t164)))) % 0.36/0.70 (step @p143 :rule eq-symm :args (@t95 tptp.n1)) % 0.36/0.70 (step @p144 :rule refl :args (@t98)) % 0.36/0.70 (step @p145 :rule cong :premises (@p144 @p143) :args (@t99)) % 0.36/0.70 (step @p146 :rule cong :premises (@p145) :args (@t101)) % 0.36/0.70 (step @p147 :rule trans :premises (@p146 @p142)) % 0.36/0.70 (step @p148 :rule aci_norm :args ((= (or (or @t168 @t167) @t104) (or @t168 @t167 @t104)))) % 0.36/0.70 (step @p149 :rule refl :args (@t104)) % 0.36/0.70 (step @p150 :rule bool-and-de-morgan :args (@t107 @t106 true)) % 0.36/0.70 (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or (not @t108) @t104))) % 0.36/0.70 (step @p152 :rule trans :premises (@p151 @p148)) % 0.36/0.70 (step @p153 :rule bool-impl-elim :args (@t108 @t104)) % 0.36/0.70 (step @p154 :rule trans :premises (@p153 @p152)) % 0.36/0.70 (step @p155 :rule cong :premises (@p154) :args (@t109)) % 0.36/0.70 (step @p156 :rule refl :args (@t110)) % 0.36/0.70 (step @p157 :rule refl :args (@t111)) % 0.36/0.70 (step @p158 :rule refl :args (@t112)) % 0.36/0.70 (step @p159 :rule refl :args (@t113)) % 0.36/0.70 (step @p160 :rule refl :args (@t114)) % 0.36/0.70 (step @p161 :rule nary_cong :premises (@p160 @p159 @p158 @p157 @p156 @p155 @p147) :args (@t115)) % 0.36/0.70 (step @p162 :rule cong :premises (@p161 @p134) :args (@t116)) % 0.36/0.70 (step @p163 :rule cong :premises (@p162) :args (@t117)) % 0.36/0.70 (step @p164 :rule eq_resolve :premises (@p53 @p163)) % 0.36/0.70 (step @p165 :rule not_implies_elim1 :premises (@p164)) % 0.36/0.70 (step @p166 :rule and_elim :premises (@p165) :args (5)) % 0.36/0.70 (step @p167 :rule instantiate :premises (@p166) :args (@t171)) % 0.36/0.70 (step @p168 :rule not_implies_elim2 :premises (@p164)) % 0.36/0.70 (step @p169 :rule refl :args (@t181)) % 0.36/0.70 (step @p170 :rule bool-double-not-elim :args (@t169)) % 0.36/0.70 (step @p171 :rule nary_cong :premises (@p170 @p169) :args ((or (not @t182) @t181))) % 0.36/0.70 (step @p172 :rule refl :args (@t174)) % 0.36/0.70 (step @p173 :rule eq-symm :args (@t170 tptp.pv47)) % 0.36/0.70 (step @p174 :rule refl :args (@t177)) % 0.36/0.70 (step @p175 :rule refl :args (@t179)) % 0.36/0.70 (step @p176 :rule nary_cong :premises (@p175 @p174 @p173 @p172) :args (@t183)) % 0.36/0.70 (step @p177 :rule cong :premises (@p176) :args (@t184)) % 0.36/0.70 (step @p178 :rule refl :args (@t182)) % 0.36/0.70 (step @p179 :rule cong :premises (@p178 @p177) :args ((=> @t182 @t184))) % 0.36/0.70 (assume-push @p1148 @t182) % 0.36/0.70 (step @p181 :rule skolemize :premises (@p168)) % 0.36/0.70 (step-pop @p1149 :rule scope :premises (@p181)) % 0.36/0.70 (step @p182 :rule process_scope :premises (@p1149) :args (@t184)) % 0.36/0.70 (step @p184 :rule eq_resolve :premises (@p182 @p179)) % 0.36/0.70 (step @p185 :rule implies_elim :premises (@p184)) % 0.36/0.70 (step @p186 :rule eq_resolve :premises (@p185 @p171)) % 0.36/0.70 (step @p187 :rule chain_m_resolution :premises (@p186 @p168) :args (@t181 @t185 (@list @t169))) % 0.36/0.70 (step @p188 :rule cnf_or_neg :args (@t180 3)) % 0.36/0.70 (step @p189 :rule chain_m_resolution :premises (@p188 @p187) :args ((not @t174) @t185 @t186)) % 0.36/0.70 (step @p190 :rule bool-double-not-elim :args (@t178)) % 0.36/0.70 (step @p191 :rule refl :args (@t180)) % 0.36/0.70 (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((or @t180 (not @t179)))) % 0.36/0.70 (step @p193 :rule cnf_or_neg :args (@t180 0)) % 0.36/0.70 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 0.36/0.70 (step @p195 :rule reordering :premises (@p194) :args ((or @t178 @t180))) % 0.36/0.70 (step @p196 :rule chain_m_resolution :premises (@p195 @p187) :args (@t178 @t185 @t186)) % 0.36/0.70 (step @p197 :rule cnf_or_pos :args (@t189)) % 0.36/0.70 (step @p198 :rule reordering :premises (@p197) :args ((or @t179 @t174 @t188 (not @t189)))) % 0.36/0.70 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p189 @p167) :args (@t188 (@list false true false) (@list @t178 @t174 @t189))) % 0.36/0.70 (step @p200 :rule aci_norm :args ((= (or (or @t191 @t190) @t130) @t192))) % 0.36/0.70 (step @p201 :rule refl :args (@t130)) % 0.36/0.70 (step @p202 :rule bool-and-de-morgan :args (@t18 @t131 true)) % 0.36/0.70 (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or (not @t132) @t130))) % 0.36/0.70 (step @p204 :rule trans :premises (@p203 @p200)) % 0.36/0.70 (step @p205 :rule bool-impl-elim :args (@t132 @t130)) % 0.36/0.70 (step @p206 :rule trans :premises (@p205 @p204)) % 0.36/0.70 (step @p207 :rule cong :premises (@p206) :args (@t133)) % 0.36/0.70 (step @p208 :rule eq_resolve :premises (@p90 @p207)) % 0.36/0.70 (step @p209 :rule eq-symm :args (tptp.pv47 tptp.n4)) % 0.36/0.70 (step @p210 :rule eq-symm :args (tptp.pv47 tptp.n3)) % 0.36/0.70 (step @p211 :rule eq-symm :args (tptp.pv47 tptp.n2)) % 0.36/0.70 (step @p212 :rule eq-symm :args (tptp.pv47 tptp.n1)) % 0.36/0.70 (step @p213 :rule eq-symm :args (tptp.pv47 tptp.n0)) % 0.36/0.70 (step @p214 :rule refl :args (@t193)) % 0.36/0.70 (step @p215 :rule refl :args (@t194)) % 0.36/0.70 (step @p216 :rule nary_cong :premises (@p215 @p214 @p213 @p212 @p211 @p210 @p209) :args (@t195)) % 0.36/0.70 (step @p217 :rule refl :args (@t196)) % 0.36/0.70 (step @p218 :rule cong :premises (@p217 @p216) :args ((=> @t196 @t195))) % 0.36/0.70 (assume-push @p1150 @t196) % 0.36/0.70 (step @p220 :rule instantiate :premises (@p208) :args ((@list tptp.pv47))) % 0.36/0.70 (step-pop @p1151 :rule scope :premises (@p220)) % 0.36/0.70 (step @p221 :rule process_scope :premises (@p1151) :args (@t195)) % 0.36/0.70 (step @p223 :rule eq_resolve :premises (@p221 @p218)) % 0.36/0.70 (step @p224 :rule implies_elim :premises (@p223)) % 0.36/0.70 (step @p225 :rule chain_m_resolution :premises (@p224 @p208) :args (@t202 @t203 @t204)) % 0.36/0.70 (step @p226 :rule bool-double-not-elim :args (@t176)) % 0.36/0.70 (step @p227 :rule nary_cong :premises (@p191 @p226) :args ((or @t180 (not @t177)))) % 0.36/0.70 (step @p228 :rule cnf_or_neg :args (@t180 1)) % 0.36/0.70 (step @p229 :rule eq_resolve :premises (@p228 @p227)) % 0.36/0.70 (step @p230 :rule reordering :premises (@p229) :args ((or @t176 @t180))) % 0.36/0.70 (step @p231 :rule chain_m_resolution :premises (@p230 @p187) :args (@t176 @t185 @t186)) % 0.36/0.70 (step 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(step @p1020 :rule nary_cong :premises (@p440 @p299 @p438 @p1019 @p437 @p296 @p266) :args ((or @t267 @t226 @t264 @t334 @t263 @t229 @t212))) % 0.36/0.70 (assume-push @p1470 @t188) % 0.36/0.70 (assume-push @p1471 @t197) % 0.36/0.70 (assume-push @p1472 @t266) % 0.36/0.70 (assume-push @p1473 @t262) % 0.36/0.70 (assume-push @p1474 @t225) % 0.36/0.70 (assume-push @p1475 @t211) % 0.36/0.70 (assume-push @p1476 @t332) % 0.36/0.70 (step @p238 :rule evaluate :args (@t208)) % 0.36/0.70 (step @p318 :rule false_intro :premises (@p199)) % 0.36/0.70 (step @p1028 :rule cong :premises (@p1471) :args (@t268)) % 0.36/0.70 (step @p1029 :rule cong :premises (@p96) :args (@t261)) % 0.36/0.70 (step @p1030 :rule trans :premises (@p103 @p107 @p1029 @p1028)) % 0.36/0.70 (step @p241 :rule refl :args (@t170)) % 0.36/0.70 (step @p1031 :rule cong :premises (@p241 @p1030) :args (@t205)) % 0.36/0.70 (step @p1032 :rule cong :premises (@p1475 @p100) :args ((tptp.leq tptp.n3 @t151))) % 0.36/0.70 (step @p450 :rule symm 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@p1509 :rule scope :premises (@p1508)) % 0.36/0.70 (step @p1088 :rule process_scope :premises (@p1509) :args (@t336)) % 0.36/0.70 (step @p1092 :rule implies_elim :premises (@p1088)) % 0.36/0.70 (step @p1093 :rule resolution :premises (@p1092 @p1080) :args (true @t336)) % 0.36/0.70 (step @p1094 :rule not_and :premises (@p1093)) % 0.36/0.70 (step @p1095 :rule eq_resolve :premises (@p1094 @p1071)) % 0.36/0.70 (step @p1096 :rule reordering :premises (@p1095) :args ((or @t177 @t325 @t264))) % 0.36/0.70 (step @p1097 :rule chain_m_resolution :premises (@p1096 @p231 @p981) :args (@t325 @t157 (@list @t176 @t197))) % 0.36/0.70 (step @p1098 :rule cnf_or_pos :args (@t329)) % 0.36/0.70 (step @p1099 :rule reordering :premises (@p1098) :args ((or @t179 @t242 @t326 @t219 @t241 @t211 @t328 (not @t329)))) % 0.36/0.70 (step @p1100 :rule chain_m_resolution :premises (@p1099 @p196 @p671 @p1097 @p949 @p1069 @p1014 @p992) :args (@t241 (@list false true false true true true false) (@list @t178 @t242 @t325 @t219 @t211 @t328 @t329))) % 0.36/0.70 (step @p1101 :rule refl :args (@t337)) % 0.36/0.70 (step @p1102 :rule nary_cong :premises (@p440 @p299 @p1101 @p438 @p437 @p296 @p678) :args ((or @t267 @t226 @t337 @t264 @t263 @t229 @t295))) % 0.36/0.70 (assume-push @p1510 @t154) % 0.36/0.70 (assume-push @p1511 @t241) % 0.36/0.70 (assume-push @p1512 @t225) % 0.36/0.70 (assume-push @p1513 @t262) % 0.36/0.70 (assume-push @p1514 @t266) % 0.36/0.70 (assume-push @p1515 @t197) % 0.36/0.70 (assume-push @p1516 @t188) % 0.36/0.70 (step @p309 :rule evaluate :args (@t230)) % 0.36/0.70 (step @p1110 :rule true_intro :premises (@p114)) % 0.36/0.70 (step @p450 :rule symm :premises (@p107)) % 0.36/0.70 (step @p451 :rule cong :premises (@p102) :args (@t268)) % 0.36/0.70 (step @p1111 :rule symm :premises (@p1515)) % 0.36/0.70 (step @p1112 :rule cong :premises (@p1111) :args (@t105)) % 0.36/0.70 (step @p1113 :rule trans :premises (@p1112 @p451 @p450 @p100)) % 0.36/0.70 (step @p1114 :rule symm :premises (@p1511)) % 0.36/0.70 (step @p1115 :rule cong :premises (@p1114 @p1113) :args (@t187)) % 0.36/0.70 (step @p318 :rule false_intro :premises (@p199)) % 0.36/0.70 (step @p319 :rule symm :premises (@p318)) % 0.36/0.70 (step @p1116 :rule trans :premises (@p319 @p1115 @p1110)) % 0.36/0.70 (step @p1117 false :rule eq_resolve :premises (@p1116 @p309)) % 0.36/0.70 (step-pop @p1517 :rule scope :premises (@p1117)) % 0.36/0.70 (step-pop @p1518 :rule scope :premises (@p1517)) % 0.36/0.70 (step-pop @p1519 :rule scope :premises (@p1518)) % 0.36/0.70 (step-pop @p1520 :rule scope :premises (@p1519)) % 0.36/0.70 (step-pop @p1521 :rule scope :premises (@p1520)) % 0.36/0.70 (step-pop @p1522 :rule scope :premises (@p1521)) % 0.36/0.70 (step-pop @p1523 :rule scope :premises (@p1522)) % 0.36/0.70 (step @p1118 :rule process_scope :premises (@p1523) :args (false)) % 0.36/0.70 (assume-push @p1524 @t266) % 0.36/0.70 (assume-push @p1525 @t225) % 0.36/0.70 (assume-push @p1526 @t154) % 0.36/0.70 (assume-push @p1527 @t197) % 0.36/0.70 (assume-push @p1528 @t262) % 0.36/0.70 (assume-push @p1529 @t188) % 0.36/0.70 (assume-push @p1530 @t241) % 0.36/0.70 (step @p1133 :rule and_intro :premises (@p114 @p1530 @p103 @p107 @p102 @p1527 @p199)) % 0.36/0.70 (step-pop @p1531 :rule scope :premises (@p1133)) % 0.36/0.70 (step-pop @p1532 :rule scope :premises (@p1531)) % 0.36/0.70 (step-pop @p1533 :rule scope :premises (@p1532)) % 0.36/0.70 (step-pop @p1534 :rule scope :premises (@p1533)) % 0.36/0.70 (step-pop @p1535 :rule scope :premises (@p1534)) % 0.36/0.70 (step-pop @p1536 :rule scope :premises (@p1535)) % 0.36/0.70 (step-pop @p1537 :rule scope :premises (@p1536)) % 0.36/0.70 (step @p1134 :rule process_scope :premises (@p1537) :args (@t338)) % 0.36/0.70 (step @p1142 :rule implies_elim :premises (@p1134)) % 0.36/0.70 (step @p1143 :rule resolution :premises (@p1142 @p1118) :args (true @t338)) % 0.36/0.70 (step @p1144 :rule not_and :premises (@p1143)) % 0.36/0.70 (step @p1145 :rule eq_resolve :premises (@p1144 @p1102)) % 0.36/0.70 (step @p1146 :rule reordering :premises (@p1145) :args ((or @t267 @t226 @t187 @t337 @t264 @t263 @t295))) % 0.36/0.70 (step @p1147 false :rule chain_m_resolution :premises (@p1146 @p1100 @p981 @p199 @p114 @p107 @p103 @p102) :args (false (@list false false true false false false false) (@list @t241 @t197 @t187 @t154 @t262 @t225 @t266))) % 0.36/0.70 ) % 0.36/0.70 % SZS output end Proof % 0.36/0.70 % cvc5 exiting %------------------------------------------------------------------------------