%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV039+1 : TPTP v9.2.1. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 09:00:23 AM UTC 2026 % Result : Theorem 0.52s 0.72s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV039+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n027.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 19:53:51 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.72 % SZS status Theorem % 0.52/0.72 % SZS output start Proof % 0.52/0.72 ( % 0.52/0.72 (declare-sort $$unsorted 0) % 0.52/0.72 (declare-const tptp.s_worst7_init $$unsorted) % 0.52/0.72 (declare-const tptp.s_best7 $$unsorted) % 0.52/0.72 (declare-const tptp.simplex7_init $$unsorted) % 0.52/0.72 (declare-const tptp.s_values7_init $$unsorted) % 0.52/0.72 (declare-const tptp.s_center7_init $$unsorted) % 0.52/0.72 (declare-const tptp.pvar1401_init $$unsorted) % 0.52/0.72 (declare-const tptp.pvar1402_init $$unsorted) % 0.52/0.72 (declare-const tptp.init $$unsorted) % 0.52/0.72 (declare-const tptp.def $$unsorted) % 0.52/0.72 (declare-const tptp.use $$unsorted) % 0.52/0.72 (declare-const tptp.true Bool) % 0.52/0.72 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.s_worst7 $$unsorted) % 0.52/0.72 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.pvar1400_init $$unsorted) % 0.52/0.72 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.s_sworst7_init $$unsorted) % 0.52/0.72 (declare-const tptp.n3 $$unsorted) % 0.52/0.72 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.52/0.72 (declare-const tptp.n0 $$unsorted) % 0.52/0.72 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.n1 $$unsorted) % 0.52/0.72 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.n5 $$unsorted) % 0.52/0.72 (declare-const tptp.s_best7_init $$unsorted) % 0.52/0.72 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.s_sworst7 $$unsorted) % 0.52/0.72 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.s_try7_init $$unsorted) % 0.52/0.72 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.52/0.72 (declare-const tptp.loopcounter $$unsorted) % 0.52/0.72 (declare-const tptp.n4 $$unsorted) % 0.52/0.72 (declare-const tptp.n2 $$unsorted) % 0.52/0.72 (define @t1 () (@var "Y" $$unsorted)) % 0.52/0.72 (define @t2 () (@var "X" $$unsorted)) % 0.52/0.72 (define @t3 () (= @t2 @t1)) % 0.52/0.72 (define @t4 () (tptp.gt @t1 @t2)) % 0.52/0.72 (define @t5 () (tptp.gt @t2 @t1)) % 0.52/0.72 (define @t6 () (@list @t2 @t1)) % 0.52/0.72 (define @t7 () (@var "Z" $$unsorted)) % 0.52/0.72 (define @t8 () (@list @t2 @t1 @t7)) % 0.52/0.72 (define @t9 () (@list @t2)) % 0.52/0.72 (define @t10 () (tptp.leq @t2 @t7)) % 0.52/0.72 (define @t11 () (tptp.leq @t1 @t7)) % 0.52/0.72 (define @t12 () (tptp.leq @t2 @t1)) % 0.52/0.72 (define @t13 () (and @t12 @t11)) % 0.52/0.72 (define @t14 () (forall @t8 (=> @t13 @t10))) % 0.52/0.72 (define @t15 () (forall @t6 (=> @t4 @t12))) % 0.52/0.72 (define @t16 () (tptp.succ @t2)) % 0.52/0.72 (define @t17 () (tptp.succ @t1)) % 0.52/0.72 (define @t18 () (@var "C" $$unsorted)) % 0.52/0.72 (define @t19 () (tptp.uniform_int_rnd @t18 @t2)) % 0.52/0.72 (define @t20 () (tptp.leq tptp.n0 @t2)) % 0.52/0.72 (define @t21 () (@list @t2 @t18)) % 0.52/0.72 (define @t22 () (@var "Val" $$unsorted)) % 0.52/0.72 (define @t23 () (@var "I" $$unsorted)) % 0.52/0.72 (define @t24 () (@var "U" $$unsorted)) % 0.52/0.72 (define @t25 () (@var "L" $$unsorted)) % 0.52/0.72 (define @t26 () (tptp.leq @t23 @t24)) % 0.52/0.72 (define @t27 () (@var "J" $$unsorted)) % 0.52/0.72 (define @t28 () (@var "U2" $$unsorted)) % 0.52/0.72 (define @t29 () (@var "L2" $$unsorted)) % 0.52/0.72 (define @t30 () (@var "U1" $$unsorted)) % 0.52/0.72 (define @t31 () (@var "L1" $$unsorted)) % 0.52/0.72 (define @t32 () (@var "A" $$unsorted)) % 0.52/0.72 (define @t33 () (tptp.trans @t32)) % 0.52/0.72 (define @t34 () (@var "N" $$unsorted)) % 0.52/0.72 (define @t35 () (tptp.leq @t27 @t34)) % 0.52/0.72 (define @t36 () (tptp.leq tptp.n0 @t27)) % 0.52/0.72 (define @t37 () (tptp.leq @t23 @t34)) % 0.52/0.72 (define @t38 () (tptp.leq tptp.n0 @t23)) % 0.52/0.72 (define @t39 () (and @t38 @t37 @t36 @t35)) % 0.52/0.72 (define @t40 () (@list @t23 @t27)) % 0.52/0.72 (define @t41 () (forall @t40 (=> @t39 (= (tptp.a_select3 @t32 @t23 @t27) (tptp.a_select3 @t32 @t27 @t23))))) % 0.52/0.72 (define @t42 () (@list @t32 @t34)) % 0.52/0.72 (define @t43 () (tptp.inv @t32)) % 0.52/0.72 (define @t44 () (@var "VAL" $$unsorted)) % 0.52/0.72 (define @t45 () (@var "K" $$unsorted)) % 0.52/0.72 (define @t46 () (tptp.tptp_update3 @t32 @t45 @t45 @t44)) % 0.52/0.72 (define @t47 () (@var "B" $$unsorted)) % 0.52/0.72 (define @t48 () (tptp.tptp_madd @t32 @t47)) % 0.52/0.72 (define @t49 () (= (tptp.a_select3 @t47 @t23 @t27) (tptp.a_select3 @t47 @t27 @t23))) % 0.52/0.72 (define @t50 () (forall @t40 (=> @t39 @t49))) % 0.52/0.72 (define @t51 () (and @t41 @t50)) % 0.52/0.72 (define @t52 () (@list @t32 @t47 @t34)) % 0.52/0.72 (define @t53 () (tptp.tptp_msub @t32 @t47)) % 0.52/0.72 (define @t54 () (tptp.tptp_mmul @t32 (tptp.tptp_mmul @t47 @t33))) % 0.52/0.72 (define @t55 () (forall @t40 (=> @t39 (= (tptp.a_select3 @t54 @t23 @t27) (tptp.a_select3 @t54 @t27 @t23))))) % 0.52/0.72 (define @t56 () (@var "M" $$unsorted)) % 0.52/0.72 (define @t57 () (and @t38 (tptp.leq @t23 @t56) @t36 (tptp.leq @t27 @t56))) % 0.52/0.72 (define @t58 () (@var "E" $$unsorted)) % 0.52/0.72 (define @t59 () (@var "F" $$unsorted)) % 0.52/0.72 (define @t60 () (@var "D" $$unsorted)) % 0.52/0.72 (define @t61 () (tptp.tptp_madd @t32 (tptp.tptp_mmul @t47 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t18 (tptp.tptp_mmul @t60 (tptp.trans @t18))) (tptp.tptp_mmul @t58 (tptp.tptp_mmul @t59 (tptp.trans @t58)))) (tptp.trans @t47))))) % 0.52/0.72 (define @t62 () (@var "Body" $$unsorted)) % 0.52/0.72 (define @t63 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t62)) % 0.52/0.72 (define @t64 () (@list @t62)) % 0.52/0.72 (define @t65 () (tptp.succ tptp.tptp_minus_1)) % 0.52/0.72 (define @t66 () (tptp.plus tptp.n1 @t2)) % 0.52/0.72 (define @t67 () (forall @t9 (= @t66 @t16))) % 0.52/0.72 (define @t68 () (tptp.succ @t16)) % 0.52/0.72 (define @t69 () (tptp.plus tptp.n2 @t2)) % 0.52/0.72 (define @t70 () (forall @t9 (= @t69 @t68))) % 0.52/0.72 (define @t71 () (tptp.succ @t68)) % 0.52/0.72 (define @t72 () (tptp.plus tptp.n3 @t2)) % 0.52/0.72 (define @t73 () (forall @t9 (= @t72 @t71))) % 0.52/0.72 (define @t74 () (tptp.succ @t71)) % 0.52/0.72 (define @t75 () (tptp.plus tptp.n4 @t2)) % 0.52/0.72 (define @t76 () (forall @t9 (= @t75 @t74))) % 0.52/0.72 (define @t77 () (tptp.succ @t74)) % 0.52/0.72 (define @t78 () (tptp.pred @t2)) % 0.52/0.72 (define @t79 () (tptp.pred @t16)) % 0.52/0.72 (define @t80 () (forall @t9 (= @t79 @t2))) % 0.52/0.72 (define @t81 () (@var "V" $$unsorted)) % 0.52/0.72 (define @t82 () (tptp.tptp_update3 @t2 @t24 @t81 @t44)) % 0.52/0.72 (define @t83 () (@var "VAL2" $$unsorted)) % 0.52/0.72 (define @t84 () (not (= @t23 @t24))) % 0.52/0.72 (define @t85 () (@var "J0" $$unsorted)) % 0.52/0.72 (define @t86 () (@var "I0" $$unsorted)) % 0.52/0.72 (define @t87 () (tptp.leq @t86 @t24)) % 0.52/0.72 (define @t88 () (tptp.leq tptp.n0 @t86)) % 0.52/0.72 (define @t89 () (tptp.tptp_update2 @t2 @t24 @t44)) % 0.52/0.72 (define @t90 () (and (= tptp.pvar1400_init tptp.init) (= tptp.pvar1401_init tptp.init) (= tptp.pvar1402_init tptp.init))) % 0.52/0.72 (define @t91 () (tptp.gt tptp.loopcounter tptp.n1)) % 0.52/0.72 (define @t92 () (=> @t91 @t90)) % 0.52/0.72 (define @t93 () (tptp.a_select2 tptp.s_try7_init @t23)) % 0.52/0.72 (define @t94 () (tptp.minus tptp.n0 tptp.n1)) % 0.52/0.72 (define @t95 () (tptp.leq @t23 @t94)) % 0.52/0.72 (define @t96 () (and @t38 @t95)) % 0.52/0.72 (define @t97 () (=> @t96 (= @t93 tptp.init))) % 0.52/0.72 (define @t98 () (@list @t23)) % 0.52/0.72 (define @t99 () (forall @t98 @t97)) % 0.52/0.72 (define @t100 () (@var "H" $$unsorted)) % 0.52/0.72 (define @t101 () (tptp.a_select2 tptp.s_center7_init @t100)) % 0.52/0.72 (define @t102 () (tptp.leq @t100 tptp.n2)) % 0.52/0.72 (define @t103 () (tptp.leq tptp.n0 @t100)) % 0.52/0.72 (define @t104 () (and @t103 @t102)) % 0.52/0.72 (define @t105 () (=> @t104 (= @t101 tptp.init))) % 0.52/0.72 (define @t106 () (@list @t100)) % 0.52/0.72 (define @t107 () (forall @t106 @t105)) % 0.52/0.72 (define @t108 () (@var "G" $$unsorted)) % 0.52/0.72 (define @t109 () (tptp.a_select2 tptp.s_values7_init @t108)) % 0.52/0.72 (define @t110 () (tptp.leq @t108 tptp.n3)) % 0.52/0.72 (define @t111 () (tptp.leq tptp.n0 @t108)) % 0.52/0.72 (define @t112 () (and @t111 @t110)) % 0.52/0.72 (define @t113 () (=> @t112 (= @t109 tptp.init))) % 0.52/0.72 (define @t114 () (@list @t108)) % 0.52/0.72 (define @t115 () (forall @t114 @t113)) % 0.52/0.72 (define @t116 () (tptp.a_select3 tptp.simplex7_init @t59 @t58)) % 0.52/0.72 (define @t117 () (tptp.leq @t59 tptp.n3)) % 0.52/0.72 (define @t118 () (tptp.leq tptp.n0 @t59)) % 0.52/0.72 (define @t119 () (and @t118 @t117)) % 0.52/0.72 (define @t120 () (=> @t119 (= @t116 tptp.init))) % 0.52/0.72 (define @t121 () (@list @t59)) % 0.52/0.72 (define @t122 () (forall @t121 @t120)) % 0.52/0.72 (define @t123 () (tptp.leq @t58 tptp.n2)) % 0.52/0.72 (define @t124 () (tptp.leq tptp.n0 @t58)) % 0.52/0.72 (define @t125 () (and @t124 @t123)) % 0.52/0.72 (define @t126 () (=> @t125 @t122)) % 0.52/0.72 (define @t127 () (@list @t58)) % 0.52/0.72 (define @t128 () (forall @t127 @t126)) % 0.52/0.72 (define @t129 () (tptp.leq tptp.s_worst7 tptp.n3)) % 0.52/0.72 (define @t130 () (tptp.leq tptp.s_sworst7 tptp.n3)) % 0.52/0.72 (define @t131 () (tptp.leq tptp.s_best7 tptp.n3)) % 0.52/0.72 (define @t132 () (tptp.leq tptp.n0 tptp.s_worst7)) % 0.52/0.72 (define @t133 () (tptp.leq tptp.n0 tptp.s_sworst7)) % 0.52/0.72 (define @t134 () (tptp.leq tptp.n0 tptp.s_best7)) % 0.52/0.72 (define @t135 () (= tptp.s_worst7_init tptp.init)) % 0.52/0.72 (define @t136 () (= tptp.s_sworst7_init tptp.init)) % 0.52/0.72 (define @t137 () (= tptp.s_best7_init tptp.init)) % 0.52/0.72 (define @t138 () (and @t137 @t136 @t135 @t134 @t133 @t132 @t131 @t130 @t129 @t128 @t115 @t107 @t99 @t92)) % 0.52/0.72 (define @t139 () (tptp.a_select2 tptp.s_center7_init @t60)) % 0.52/0.72 (define @t140 () (tptp.leq @t60 tptp.n2)) % 0.52/0.72 (define @t141 () (tptp.leq tptp.n0 @t60)) % 0.52/0.72 (define @t142 () (and @t141 @t140)) % 0.52/0.72 (define @t143 () (=> @t142 (= @t139 tptp.init))) % 0.52/0.72 (define @t144 () (@list @t60)) % 0.52/0.72 (define @t145 () (forall @t144 @t143)) % 0.52/0.72 (define @t146 () (tptp.a_select2 tptp.s_values7_init @t18)) % 0.52/0.72 (define @t147 () (tptp.leq @t18 tptp.n3)) % 0.52/0.72 (define @t148 () (tptp.leq tptp.n0 @t18)) % 0.52/0.72 (define @t149 () (and @t148 @t147)) % 0.52/0.72 (define @t150 () (=> @t149 (= @t146 tptp.init))) % 0.52/0.72 (define @t151 () (@list @t18)) % 0.52/0.72 (define @t152 () (forall @t151 @t150)) % 0.52/0.72 (define @t153 () (tptp.a_select3 tptp.simplex7_init @t47 @t32)) % 0.52/0.72 (define @t154 () (tptp.leq @t47 tptp.n3)) % 0.52/0.72 (define @t155 () (tptp.leq tptp.n0 @t47)) % 0.52/0.72 (define @t156 () (and @t155 @t154)) % 0.52/0.72 (define @t157 () (=> @t156 (= @t153 tptp.init))) % 0.52/0.72 (define @t158 () (@list @t47)) % 0.52/0.72 (define @t159 () (forall @t158 @t157)) % 0.52/0.72 (define @t160 () (tptp.leq @t32 tptp.n2)) % 0.52/0.72 (define @t161 () (tptp.leq tptp.n0 @t32)) % 0.52/0.72 (define @t162 () (and @t161 @t160)) % 0.52/0.72 (define @t163 () (=> @t162 @t159)) % 0.52/0.72 (define @t164 () (@list @t32)) % 0.52/0.72 (define @t165 () (forall @t164 @t163)) % 0.52/0.72 (define @t166 () (and @t137 @t136 @t135 @t134 @t133 @t132 @t131 @t130 @t129 @t165 @t152 @t145 @t92)) % 0.52/0.72 (define @t167 () (=> @t166 @t138)) % 0.52/0.72 (define @t168 () (not @t167)) % 0.52/0.72 (define @t169 () (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.52/0.72 (define @t170 () (tptp.gt tptp.n4 tptp.n0)) % 0.52/0.72 (define @t171 () (= @t2 tptp.n4)) % 0.52/0.72 (define @t172 () (= @t2 tptp.n3)) % 0.52/0.72 (define @t173 () (= @t2 tptp.n2)) % 0.52/0.72 (define @t174 () (= @t2 tptp.n1)) % 0.52/0.72 (define @t175 () (= @t2 tptp.n0)) % 0.52/0.72 (define @t176 () (tptp.leq @t2 tptp.n0)) % 0.52/0.72 (define @t177 () (and @t20 @t176)) % 0.52/0.72 (define @t178 () (forall @t9 (=> @t177 @t175))) % 0.52/0.72 (define @t179 () (tptp.succ tptp.n0)) % 0.52/0.72 (define @t180 () (tptp.succ @t179)) % 0.52/0.72 (define @t181 () (tptp.succ @t180)) % 0.52/0.72 (define @t182 () (tptp.succ @t181)) % 0.52/0.72 (define @t183 () (= tptp.init @t93)) % 0.52/0.72 (define @t184 () (not @t95)) % 0.52/0.72 (define @t185 () (not @t38)) % 0.52/0.72 (define @t186 () (or @t185 @t184 @t183)) % 0.52/0.72 (define @t187 () (forall @t98 @t186)) % 0.52/0.72 (define @t188 () (@quantifiers_skolemize @t187 0)) % 0.52/0.72 (define @t189 () (tptp.leq tptp.n0 @t188)) % 0.52/0.72 (define @t190 () (tptp.leq @t188 @t94)) % 0.52/0.72 (define @t191 () (not @t190)) % 0.52/0.72 (define @t192 () (not @t189)) % 0.52/0.72 (define @t193 () (or @t192 @t191 (= tptp.init (tptp.a_select2 tptp.s_try7_init @t188)))) % 0.52/0.72 (define @t194 () (not @t176)) % 0.52/0.72 (define @t195 () (not @t20)) % 0.52/0.72 (define @t196 () (or @t195 @t194 @t175)) % 0.52/0.72 (define @t197 () (tptp.leq @t94 tptp.n0)) % 0.52/0.72 (define @t198 () (not @t197)) % 0.52/0.72 (define @t199 () (tptp.leq tptp.n0 @t94)) % 0.52/0.72 (define @t200 () (not @t199)) % 0.52/0.72 (define @t201 () (or @t200 @t198 (= @t94 tptp.n0))) % 0.52/0.72 (define @t202 () (forall @t9 @t196)) % 0.52/0.72 (define @t203 () (= tptp.n0 @t94)) % 0.52/0.72 (define @t204 () (or @t200 @t198 @t203)) % 0.52/0.72 (define @t205 () (@list false)) % 0.52/0.72 (define @t206 () (@list tptp.tptp_minus_1)) % 0.52/0.72 (define @t207 () (@list tptp.n0)) % 0.52/0.72 (define @t208 () (tptp.gt tptp.n4 tptp.n4)) % 0.52/0.72 (define @t209 () (not @t203)) % 0.52/0.72 (define @t210 () (= tptp.tptp_minus_1 (tptp.pred @t65))) % 0.52/0.72 (define @t211 () (not @t210)) % 0.52/0.72 (define @t212 () (tptp.pred tptp.n0)) % 0.52/0.72 (define @t213 () (= @t94 @t212)) % 0.52/0.72 (define @t214 () (not @t213)) % 0.52/0.72 (define @t215 () (tptp.plus tptp.n4 tptp.n0)) % 0.52/0.72 (define @t216 () (= @t182 @t215)) % 0.52/0.72 (define @t217 () (not @t216)) % 0.52/0.72 (define @t218 () (tptp.succ @t65)) % 0.52/0.72 (define @t219 () (tptp.succ @t218)) % 0.52/0.72 (define @t220 () (tptp.succ @t219)) % 0.52/0.72 (define @t221 () (= @t220 (tptp.plus tptp.n4 tptp.tptp_minus_1))) % 0.52/0.72 (define @t222 () (not @t221)) % 0.52/0.72 (define @t223 () (tptp.plus tptp.n3 tptp.n0)) % 0.52/0.72 (define @t224 () (= @t181 @t223)) % 0.52/0.72 (define @t225 () (not @t224)) % 0.52/0.72 (define @t226 () (= @t219 (tptp.plus tptp.n3 tptp.tptp_minus_1))) % 0.52/0.72 (define @t227 () (not @t226)) % 0.52/0.72 (define @t228 () (tptp.plus tptp.n2 tptp.n0)) % 0.52/0.72 (define @t229 () (= @t180 @t228)) % 0.52/0.72 (define @t230 () (not @t229)) % 0.52/0.72 (define @t231 () (= @t218 (tptp.plus tptp.n2 tptp.tptp_minus_1))) % 0.52/0.72 (define @t232 () (not @t231)) % 0.52/0.72 (define @t233 () (= @t65 (tptp.plus tptp.n1 tptp.tptp_minus_1))) % 0.52/0.72 (define @t234 () (not @t233)) % 0.52/0.72 (define @t235 () (tptp.plus tptp.n1 tptp.n0)) % 0.52/0.72 (define @t236 () (= @t179 @t235)) % 0.52/0.72 (define @t237 () (not @t236)) % 0.52/0.72 (define @t238 () (= tptp.n4 @t182)) % 0.52/0.72 (define @t239 () (not @t238)) % 0.52/0.72 (define @t240 () (= tptp.n0 @t65)) % 0.52/0.72 (define @t241 () (not @t240)) % 0.52/0.72 (define @t242 () (not @t170)) % 0.52/0.72 (define @t243 () (not @t208)) % 0.52/0.72 (define @t244 () (and @t203 @t170 @t236 @t231 @t238 @t216 @t233 @t229 @t226 @t224 @t221 @t243 @t240 @t213 @t210)) % 0.52/0.72 (define @t245 () (tptp.leq tptp.tptp_minus_1 tptp.n0)) % 0.52/0.72 (define @t246 () (not @t169)) % 0.52/0.72 (define @t247 () (or @t246 @t245)) % 0.52/0.72 (define @t248 () (not @t11)) % 0.52/0.72 (define @t249 () (not @t12)) % 0.52/0.72 (define @t250 () (or @t192 @t191 @t199)) % 0.52/0.72 (define @t251 () (not @t193)) % 0.52/0.72 (define @t252 () (not @t187)) % 0.52/0.72 (define @t253 () (= tptp.init @t101)) % 0.52/0.72 (define @t254 () (not @t102)) % 0.52/0.72 (define @t255 () (not @t103)) % 0.52/0.72 (define @t256 () (or @t255 @t254 @t253)) % 0.52/0.72 (define @t257 () (= tptp.init @t109)) % 0.52/0.72 (define @t258 () (not @t110)) % 0.52/0.72 (define @t259 () (not @t111)) % 0.52/0.72 (define @t260 () (or @t259 @t258 @t257)) % 0.52/0.72 (define @t261 () (@var "BOUND_VARIABLE_8505" $$unsorted)) % 0.52/0.72 (define @t262 () (= tptp.init (tptp.a_select3 tptp.simplex7_init @t261 @t58))) % 0.52/0.72 (define @t263 () (not (tptp.leq @t261 tptp.n3))) % 0.52/0.72 (define @t264 () (not (tptp.leq tptp.n0 @t261))) % 0.52/0.72 (define @t265 () (not @t123)) % 0.52/0.72 (define @t266 () (not @t124)) % 0.52/0.72 (define @t267 () (or @t266 @t265 @t264 @t263 @t262)) % 0.52/0.72 (define @t268 () (or @t264 @t263 @t262)) % 0.52/0.72 (define @t269 () (or @t266 @t265 @t268)) % 0.52/0.72 (define @t270 () (@list @t58 @t261)) % 0.52/0.72 (define @t271 () (forall @t270 @t269)) % 0.52/0.72 (define @t272 () (@list @t261)) % 0.52/0.72 (define @t273 () (forall @t272 @t269)) % 0.52/0.72 (define @t274 () (forall @t272 @t268)) % 0.52/0.72 (define @t275 () (or @t266 @t265 @t274)) % 0.52/0.72 (define @t276 () (= tptp.init @t116)) % 0.52/0.72 (define @t277 () (not @t117)) % 0.52/0.72 (define @t278 () (not @t118)) % 0.52/0.72 (define @t279 () (or @t278 @t277 @t276)) % 0.52/0.72 (define @t280 () (forall @t121 @t279)) % 0.52/0.72 (define @t281 () (or @t266 @t265 @t280)) % 0.52/0.72 (define @t282 () (= tptp.init @t139)) % 0.52/0.72 (define @t283 () (not @t140)) % 0.52/0.72 (define @t284 () (not @t141)) % 0.52/0.72 (define @t285 () (or @t284 @t283 @t282)) % 0.52/0.72 (define @t286 () (= tptp.init @t146)) % 0.52/0.72 (define @t287 () (not @t147)) % 0.52/0.72 (define @t288 () (not @t148)) % 0.52/0.72 (define @t289 () (or @t288 @t287 @t286)) % 0.52/0.72 (define @t290 () (@var "BOUND_VARIABLE_8450" $$unsorted)) % 0.52/0.72 (define @t291 () (= tptp.init (tptp.a_select3 tptp.simplex7_init @t290 @t32))) % 0.52/0.72 (define @t292 () (not (tptp.leq @t290 tptp.n3))) % 0.52/0.72 (define @t293 () (not (tptp.leq tptp.n0 @t290))) % 0.52/0.72 (define @t294 () (not @t160)) % 0.52/0.72 (define @t295 () (not @t161)) % 0.52/0.72 (define @t296 () (or @t295 @t294 @t293 @t292 @t291)) % 0.52/0.72 (define @t297 () (or @t293 @t292 @t291)) % 0.52/0.72 (define @t298 () (or @t295 @t294 @t297)) % 0.52/0.72 (define @t299 () (@list @t32 @t290)) % 0.52/0.72 (define @t300 () (forall @t299 @t298)) % 0.52/0.72 (define @t301 () (@list @t290)) % 0.52/0.72 (define @t302 () (forall @t301 @t298)) % 0.52/0.72 (define @t303 () (forall @t301 @t297)) % 0.52/0.72 (define @t304 () (or @t295 @t294 @t303)) % 0.52/0.72 (define @t305 () (= tptp.init @t153)) % 0.52/0.72 (define @t306 () (not @t154)) % 0.52/0.72 (define @t307 () (not @t155)) % 0.52/0.72 (define @t308 () (or @t307 @t306 @t305)) % 0.52/0.72 (define @t309 () (forall @t158 @t308)) % 0.52/0.72 (define @t310 () (or @t295 @t294 @t309)) % 0.52/0.72 (define @t311 () (forall @t144 @t285)) % 0.52/0.72 (define @t312 () (forall @t106 @t256)) % 0.52/0.72 (define @t313 () (forall @t151 @t289)) % 0.52/0.72 (define @t314 () (forall @t114 @t260)) % 0.52/0.72 (define @t315 () (forall @t299 @t296)) % 0.52/0.72 (define @t316 () (forall @t270 @t267)) % 0.52/0.72 (define @t317 () (and (= tptp.init tptp.pvar1400_init) (= tptp.init tptp.pvar1401_init) (= tptp.init tptp.pvar1402_init))) % 0.52/0.72 (define @t318 () (=> @t91 @t317)) % 0.52/0.72 (define @t319 () (@list true)) % 0.52/0.72 (define @t320 () (@list @t318)) % 0.52/0.72 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.52/0.72 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.52/0.72 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.52/0.72 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.52/0.72 (assume @p5 @t14) % 0.52/0.72 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.52/0.72 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.52/0.72 (assume @p8 @t15) % 0.52/0.72 (assume @p9 (forall @t6 (=> (and @t12 (not @t3)) @t4))) % 0.52/0.72 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.52/0.72 (assume @p11 (forall @t9 (tptp.gt @t16 @t2))) % 0.52/0.72 (assume @p12 (forall @t6 (=> @t12 (tptp.leq @t2 @t17)))) % 0.52/0.72 (assume @p13 (forall @t6 (= @t12 (tptp.gt @t17 @t2)))) % 0.52/0.72 (assume @p14 (forall @t21 (=> @t20 (tptp.leq @t19 @t2)))) % 0.52/0.72 (assume @p15 (forall @t21 (=> @t20 (tptp.leq tptp.n0 @t19)))) % 0.52/0.72 (assume @p16 (forall (@list @t23 @t25 @t24 @t22) (=> (and (tptp.leq @t25 @t23) @t26) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t25 @t24) @t22) @t23) @t22)))) % 0.52/0.72 (assume @p17 (forall (@list @t23 @t31 @t30 @t27 @t29 @t28 @t22) (=> (and (tptp.leq @t31 @t23) (tptp.leq @t23 @t30) (tptp.leq @t29 @t27) (tptp.leq @t27 @t28)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t31 @t30) (tptp.dim @t29 @t28) @t22) @t23 @t27) @t22)))) % 0.52/0.72 (assume @p18 (forall @t42 (=> @t41 (forall @t40 (=> @t39 (= (tptp.a_select3 @t33 @t23 @t27) (tptp.a_select3 @t33 @t27 @t23))))))) % 0.52/0.72 (assume @p19 (forall @t42 (=> @t41 (forall @t40 (=> @t39 (= (tptp.a_select3 @t43 @t23 @t27) (tptp.a_select3 @t43 @t27 @t23))))))) % 0.52/0.72 (assume @p20 (forall @t42 (=> @t41 (forall (@list @t23 @t27 @t45 @t44) (=> (and @t38 @t37 @t36 @t35 (tptp.leq tptp.n0 @t45) (tptp.leq @t45 @t34)) (= (tptp.a_select3 @t46 @t23 @t27) (tptp.a_select3 @t46 @t27 @t23))))))) % 0.52/0.72 (assume @p21 (forall @t52 (=> @t51 (forall @t40 (=> @t39 (= (tptp.a_select3 @t48 @t23 @t27) (tptp.a_select3 @t48 @t27 @t23))))))) % 0.52/0.72 (assume @p22 (forall @t52 (=> @t51 (forall @t40 (=> @t39 (= (tptp.a_select3 @t53 @t23 @t27) (tptp.a_select3 @t53 @t27 @t23))))))) % 0.52/0.72 (assume @p23 (forall @t52 (=> @t50 @t55))) % 0.52/0.72 (assume @p24 (forall (@list @t32 @t47 @t34 @t56) (=> (forall @t40 (=> @t57 @t49)) @t55))) % 0.52/0.72 (assume @p25 (forall (@list @t32 @t47 @t18 @t60 @t58 @t59 @t34 @t56) (=> (and (forall @t40 (=> @t57 (= (tptp.a_select3 @t60 @t23 @t27) (tptp.a_select3 @t60 @t27 @t23)))) @t41 (forall @t40 (=> @t39 (= (tptp.a_select3 @t59 @t23 @t27) (tptp.a_select3 @t59 @t27 @t23))))) (forall @t40 (=> @t39 (= (tptp.a_select3 @t61 @t23 @t27) (tptp.a_select3 @t61 @t27 @t23))))))) % 0.52/0.72 (assume @p26 (forall @t64 (= @t63 tptp.n0))) % 0.52/0.72 (assume @p27 (forall @t64 (= tptp.tptp_float_0_0 @t63))) % 0.52/0.72 (assume @p28 (= @t65 tptp.n0)) % 0.52/0.72 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t16))) % 0.52/0.72 (assume @p30 @t67) % 0.52/0.72 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t68))) % 0.52/0.72 (assume @p32 @t70) % 0.52/0.72 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t71))) % 0.52/0.72 (assume @p34 @t73) % 0.52/0.72 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t74))) % 0.52/0.72 (assume @p36 @t76) % 0.52/0.72 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t77))) % 0.52/0.72 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t77))) % 0.52/0.72 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t78))) % 0.52/0.72 (assume @p40 @t80) % 0.52/0.72 (assume @p41 (forall @t9 (= (tptp.succ @t78) @t2))) % 0.52/0.72 (assume @p42 (forall @t6 (= (tptp.leq @t16 @t17) @t12))) % 0.52/0.72 (assume @p43 (forall @t6 (=> (tptp.leq @t16 @t1) @t4))) % 0.52/0.72 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.52/0.72 (assume @p45 (forall (@list @t2 @t24 @t81 @t44) (= (tptp.a_select3 @t82 @t24 @t81) @t44))) % 0.52/0.72 (assume @p46 (forall (@list @t23 @t27 @t24 @t81 @t2 @t44 @t83) (=> (and @t84 (= @t27 @t81) (= (tptp.a_select3 @t2 @t24 @t81) @t44)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t23 @t27 @t83) @t24 @t81) @t44)))) % 0.52/0.72 (assume @p47 (forall (@list @t23 @t27 @t24 @t81 @t2 @t44) (=> (and (forall (@list @t86 @t85) (=> (and @t88 (tptp.leq tptp.n0 @t85) @t87 (tptp.leq @t85 @t81)) (= (tptp.a_select3 @t2 @t86 @t85) @t44))) @t38 @t26 @t36 (tptp.leq @t27 @t81)) (= (tptp.a_select3 @t82 @t23 @t27) @t44)))) % 0.52/0.72 (assume @p48 (forall (@list @t2 @t24 @t44) (= (tptp.a_select2 @t89 @t24) @t44))) % 0.52/0.72 (assume @p49 (forall (@list @t23 @t24 @t2 @t44 @t83) (=> (and @t84 (= (tptp.a_select2 @t2 @t24) @t44)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t23 @t83) @t24) @t44)))) % 0.52/0.72 (assume @p50 (forall (@list @t23 @t24 @t2 @t44) (=> (and (forall (@list @t86) (=> (and @t88 @t87) (= (tptp.a_select2 @t2 @t86) @t44))) @t38 @t26) (= (tptp.a_select2 @t89 @t23) @t44)))) % 0.52/0.72 (assume @p51 tptp.true) % 0.52/0.72 (assume @p52 (not (= tptp.def tptp.use))) % 0.52/0.72 (assume @p53 @t168) % 0.52/0.72 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.52/0.72 (assume @p55 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.52/0.72 (assume @p56 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.52/0.72 (assume @p57 @t169) % 0.52/0.72 (assume @p58 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.52/0.72 (assume @p59 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.52/0.72 (assume @p60 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.52/0.72 (assume @p61 @t170) % 0.52/0.72 (assume @p62 (tptp.gt tptp.n5 tptp.n0)) % 0.52/0.72 (assume @p63 (tptp.gt tptp.n1 tptp.n0)) % 0.52/0.72 (assume @p64 (tptp.gt tptp.n2 tptp.n0)) % 0.52/0.72 (assume @p65 (tptp.gt tptp.n3 tptp.n0)) % 0.52/0.72 (assume @p66 (tptp.gt tptp.n4 tptp.n1)) % 0.52/0.72 (assume @p67 (tptp.gt tptp.n5 tptp.n1)) % 0.52/0.72 (assume @p68 (tptp.gt tptp.n2 tptp.n1)) % 0.52/0.72 (assume @p69 (tptp.gt tptp.n3 tptp.n1)) % 0.52/0.72 (assume @p70 (tptp.gt tptp.n4 tptp.n2)) % 0.52/0.72 (assume @p71 (tptp.gt tptp.n5 tptp.n2)) % 0.52/0.72 (assume @p72 (tptp.gt tptp.n3 tptp.n2)) % 0.52/0.72 (assume @p73 (tptp.gt tptp.n4 tptp.n3)) % 0.52/0.72 (assume @p74 (tptp.gt tptp.n5 tptp.n3)) % 0.52/0.72 (assume @p75 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n4)) (or @t175 @t174 @t173 @t172 @t171)))) % 0.52/0.72 (assume @p76 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n5)) (or @t175 @t174 @t173 @t172 @t171 (= @t2 tptp.n5))))) % 0.52/0.72 (assume @p77 @t178) % 0.52/0.72 (assume @p78 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n1)) (or @t175 @t174)))) % 0.52/0.72 (assume @p79 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n2)) (or @t175 @t174 @t173)))) % 0.52/0.72 (assume @p80 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n3)) (or @t175 @t174 @t173 @t172)))) % 0.52/0.72 (assume @p81 (= @t182 tptp.n4)) % 0.52/0.72 (assume @p82 (= (tptp.succ @t182) tptp.n5)) % 0.52/0.72 (assume @p83 (= @t179 tptp.n1)) % 0.52/0.72 (assume @p84 (= @t180 tptp.n2)) % 0.52/0.72 (assume @p85 (= @t181 tptp.n3)) % 0.52/0.72 (assume @p86 true) % 0.52/0.72 (step @p87 :rule bool-double-not-elim :args (@t189)) % 0.52/0.72 (step @p88 :rule refl :args (@t193)) % 0.52/0.72 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t193 (not @t192)))) % 0.52/0.72 (step @p90 :rule cnf_or_neg :args (@t193 0)) % 0.52/0.72 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.52/0.72 (step @p92 :rule reordering :premises (@p91) :args ((or @t189 @t193))) % 0.52/0.72 (step @p93 :rule bool-double-not-elim :args (@t190)) % 0.52/0.72 (step @p94 :rule nary_cong :premises (@p88 @p93) :args ((or @t193 (not @t191)))) % 0.52/0.72 (step @p95 :rule cnf_or_neg :args (@t193 1)) % 0.52/0.72 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 0.52/0.72 (step @p97 :rule reordering :premises (@p96) :args ((or @t190 @t193))) % 0.52/0.72 (step @p98 :rule aci_norm :args ((= (or (or @t195 @t194) @t175) @t196))) % 0.52/0.72 (step @p99 :rule refl :args (@t175)) % 0.52/0.72 (step @p100 :rule bool-and-de-morgan :args (@t20 @t176 true)) % 0.52/0.72 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or (not @t177) @t175))) % 0.52/0.72 (step @p102 :rule trans :premises (@p101 @p98)) % 0.52/0.72 (step @p103 :rule bool-impl-elim :args (@t177 @t175)) % 0.52/0.72 (step @p104 :rule trans :premises (@p103 @p102)) % 0.52/0.72 (step @p105 :rule cong :premises (@p104) :args (@t178)) % 0.52/0.72 (step @p106 :rule eq_resolve :premises (@p77 @p105)) % 0.52/0.72 (step @p107 :rule eq-symm :args (@t94 tptp.n0)) % 0.52/0.72 (step @p108 :rule refl :args (@t198)) % 0.52/0.72 (step @p109 :rule refl :args (@t200)) % 0.52/0.72 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107) :args (@t201)) % 0.52/0.72 (step @p111 :rule refl :args (@t202)) % 0.52/0.72 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t202 @t201))) % 0.52/0.72 (assume-push @p498 @t202) % 0.52/0.72 (step @p114 :rule instantiate :premises (@p106) :args ((@list @t94))) % 0.52/0.72 (step-pop @p499 :rule scope :premises (@p114)) % 0.52/0.72 (step @p115 :rule process_scope :premises (@p499) :args (@t201)) % 0.52/0.72 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 0.52/0.72 (step @p118 :rule implies_elim :premises (@p117)) % 0.52/0.72 (step @p119 :rule chain_m_resolution :premises (@p118 @p106) :args (@t204 @t205 (@list @t202))) % 0.52/0.72 (step @p120 :rule instantiate :premises (@p3) :args ((@list tptp.n4))) % 0.52/0.72 (step @p121 :rule eq-symm :args (@t79 @t2)) % 0.52/0.72 (step @p122 :rule cong :premises (@p121) :args (@t80)) % 0.52/0.72 (step @p123 :rule eq_resolve :premises (@p40 @p122)) % 0.52/0.72 (step @p124 :rule instantiate :premises (@p123) :args (@t206)) % 0.52/0.72 (step @p125 :rule instantiate :premises (@p39) :args (@t207)) % 0.52/0.72 (step @p126 :rule eq-symm :args (@t75 @t74)) % 0.52/0.72 (step @p127 :rule cong :premises (@p126) :args (@t76)) % 0.52/0.72 (step @p128 :rule eq_resolve :premises (@p36 @p127)) % 0.52/0.72 (step @p129 :rule instantiate :premises (@p128) :args (@t207)) % 0.52/0.72 (step @p130 :rule instantiate :premises (@p128) :args (@t206)) % 0.52/0.72 (step @p131 :rule eq-symm :args (@t72 @t71)) % 0.52/0.72 (step @p132 :rule cong :premises (@p131) :args (@t73)) % 0.52/0.72 (step @p133 :rule eq_resolve :premises (@p34 @p132)) % 0.52/0.72 (step @p134 :rule instantiate :premises (@p133) :args (@t207)) % 0.52/0.72 (step @p135 :rule instantiate :premises (@p133) :args (@t206)) % 0.52/0.72 (step @p136 :rule eq-symm :args (@t69 @t68)) % 0.52/0.72 (step @p137 :rule cong :premises (@p136) :args (@t70)) % 0.52/0.72 (step @p138 :rule eq_resolve :premises (@p32 @p137)) % 0.52/0.72 (step @p139 :rule instantiate :premises (@p138) :args (@t207)) % 0.52/0.72 (step @p140 :rule instantiate :premises (@p138) :args (@t206)) % 0.52/0.72 (step @p141 :rule eq-symm :args (@t66 @t16)) % 0.52/0.72 (step @p142 :rule cong :premises (@p141) :args (@t67)) % 0.52/0.72 (step @p143 :rule eq_resolve :premises (@p30 @p142)) % 0.52/0.72 (step @p144 :rule instantiate :premises (@p143) :args (@t206)) % 0.52/0.72 (step @p145 :rule instantiate :premises (@p143) :args (@t207)) % 0.52/0.72 (step @p146 :rule symm :premises (@p81)) % 0.52/0.72 (step @p147 :rule symm :premises (@p28)) % 0.52/0.72 (step @p148 :rule bool-double-not-elim :args (@t208)) % 0.52/0.72 (step @p149 :rule refl :args (@t209)) % 0.52/0.72 (step @p150 :rule refl :args (@t211)) % 0.52/0.72 (step @p151 :rule refl :args (@t214)) % 0.52/0.72 (step @p152 :rule refl :args (@t217)) % 0.52/0.72 (step @p153 :rule refl :args (@t222)) % 0.52/0.72 (step @p154 :rule refl :args (@t225)) % 0.52/0.72 (step @p155 :rule refl :args (@t227)) % 0.52/0.72 (step @p156 :rule refl :args (@t230)) % 0.52/0.72 (step @p157 :rule refl :args (@t232)) % 0.52/0.72 (step @p158 :rule refl :args (@t234)) % 0.52/0.72 (step @p159 :rule refl :args (@t237)) % 0.52/0.72 (step @p160 :rule refl :args (@t239)) % 0.52/0.72 (step @p161 :rule refl :args (@t241)) % 0.52/0.72 (step @p162 :rule refl :args (@t242)) % 0.52/0.72 (step @p163 :rule nary_cong :premises (@p162 @p161 @p160 @p159 @p158 @p157 @p156 @p155 @p154 @p153 @p152 @p151 @p150 @p149 @p148) :args ((or @t242 @t241 @t239 @t237 @t234 @t232 @t230 @t227 @t225 @t222 @t217 @t214 @t211 @t209 (not @t243)))) % 0.52/0.72 (assume-push @p500 @t203) % 0.52/0.72 (assume-push @p501 @t170) % 0.52/0.72 (assume-push @p502 @t236) % 0.52/0.72 (assume-push @p503 @t231) % 0.52/0.72 (assume-push @p504 @t238) % 0.52/0.72 (assume-push @p505 @t216) % 0.52/0.72 (assume-push @p506 @t233) % 0.52/0.72 (assume-push @p507 @t229) % 0.52/0.72 (assume-push @p508 @t226) % 0.52/0.72 (assume-push @p509 @t224) % 0.52/0.72 (assume-push @p510 @t221) % 0.52/0.72 (assume-push @p511 @t243) % 0.52/0.72 (assume-push @p512 @t240) % 0.52/0.72 (assume-push @p513 @t213) % 0.52/0.72 (assume-push @p514 @t210) % 0.52/0.72 (step @p179 :rule evaluate :args ((= false true))) % 0.52/0.72 (step @p180 :rule true_intro :premises (@p61)) % 0.52/0.72 (step @p181 :rule symm :premises (@p144)) % 0.52/0.72 (step @p182 :rule symm :premises (@p124)) % 0.52/0.72 (step @p183 :rule cong :premises (@p147) :args (@t212)) % 0.52/0.72 (step @p184 :rule trans :premises (@p500 @p125 @p183 @p182)) % 0.52/0.72 (step @p185 :rule refl :args (tptp.n1)) % 0.52/0.72 (step @p186 :rule cong :premises (@p185 @p184) :args (@t235)) % 0.52/0.72 (step @p187 :rule cong :premises (@p28) :args (@t218)) % 0.52/0.72 (step @p188 :rule symm :premises (@p140)) % 0.52/0.72 (step @p189 :rule refl :args (tptp.n2)) % 0.52/0.72 (step @p190 :rule cong :premises (@p189 @p184) :args (@t228)) % 0.52/0.72 (step @p191 :rule cong :premises (@p187) :args (@t219)) % 0.52/0.72 (step @p192 :rule symm :premises (@p135)) % 0.52/0.72 (step @p193 :rule refl :args (tptp.n3)) % 0.52/0.72 (step @p194 :rule cong :premises (@p193 @p184) :args (@t223)) % 0.52/0.72 (step @p195 :rule cong :premises (@p191) :args (@t220)) % 0.52/0.72 (step @p196 :rule symm :premises (@p130)) % 0.52/0.72 (step @p197 :rule refl :args (tptp.n4)) % 0.52/0.72 (step @p198 :rule cong :premises (@p197 @p184) :args (@t215)) % 0.52/0.72 (step @p199 :rule trans :premises (@p146 @p129 @p198 @p196 @p195 @p134 @p194 @p192 @p191 @p139 @p190 @p188 @p187 @p145 @p186 @p181 @p28)) % 0.52/0.72 (step @p200 :rule cong :premises (@p197 @p199) :args (@t208)) % 0.52/0.72 (step @p201 :rule false_intro :premises (@p120)) % 0.52/0.72 (step @p202 :rule symm :premises (@p201)) % 0.52/0.72 (step @p203 :rule trans :premises (@p202 @p200 @p180)) % 0.52/0.72 (step @p204 false :rule eq_resolve :premises (@p203 @p179)) % 0.52/0.72 (step-pop @p515 :rule scope :premises (@p204)) % 0.52/0.72 (step-pop @p516 :rule scope :premises (@p515)) % 0.52/0.72 (step-pop @p517 :rule scope :premises (@p516)) % 0.52/0.72 (step-pop @p518 :rule scope :premises (@p517)) % 0.52/0.72 (step-pop @p519 :rule scope :premises (@p518)) % 0.52/0.72 (step-pop @p520 :rule scope :premises (@p519)) % 0.52/0.72 (step-pop @p521 :rule scope :premises (@p520)) % 0.52/0.72 (step-pop @p522 :rule scope :premises (@p521)) % 0.52/0.72 (step-pop @p523 :rule scope :premises (@p522)) % 0.52/0.72 (step-pop @p524 :rule scope :premises (@p523)) % 0.52/0.72 (step-pop @p525 :rule scope :premises (@p524)) % 0.52/0.72 (step-pop @p526 :rule scope :premises (@p525)) % 0.52/0.72 (step-pop @p527 :rule scope :premises (@p526)) % 0.52/0.72 (step-pop @p528 :rule scope :premises (@p527)) % 0.52/0.72 (step-pop @p529 :rule scope :premises (@p528)) % 0.52/0.72 (step @p205 :rule process_scope :premises (@p529) :args (false)) % 0.52/0.72 (assume-push @p530 @t170) % 0.52/0.72 (assume-push @p531 @t240) % 0.52/0.72 (assume-push @p532 @t238) % 0.52/0.72 (assume-push @p533 @t236) % 0.52/0.72 (assume-push @p534 @t233) % 0.52/0.72 (assume-push @p535 @t231) % 0.52/0.72 (assume-push @p536 @t229) % 0.52/0.72 (assume-push @p537 @t226) % 0.52/0.72 (assume-push @p538 @t224) % 0.52/0.72 (assume-push @p539 @t221) % 0.52/0.72 (assume-push @p540 @t216) % 0.52/0.72 (assume-push @p541 @t213) % 0.52/0.72 (assume-push @p542 @t210) % 0.52/0.72 (assume-push @p543 @t203) % 0.52/0.72 (assume-push @p544 @t243) % 0.52/0.72 (step @p236 :rule and_intro :premises (@p543 @p61 @p145 @p140 @p146 @p129 @p144 @p139 @p135 @p134 @p130 @p120 @p147 @p125 @p124)) % 0.52/0.72 (step-pop @p545 :rule scope :premises (@p236)) % 0.52/0.72 (step-pop @p546 :rule scope :premises (@p545)) % 0.52/0.72 (step-pop @p547 :rule scope :premises (@p546)) % 0.52/0.72 (step-pop @p548 :rule scope :premises (@p547)) % 0.52/0.72 (step-pop @p549 :rule scope :premises (@p548)) % 0.52/0.72 (step-pop @p550 :rule scope :premises (@p549)) % 0.52/0.72 (step-pop @p551 :rule scope :premises (@p550)) % 0.52/0.72 (step-pop @p552 :rule scope :premises (@p551)) % 0.52/0.72 (step-pop @p553 :rule scope :premises (@p552)) % 0.52/0.72 (step-pop @p554 :rule scope :premises (@p553)) % 0.52/0.72 (step-pop @p555 :rule scope :premises (@p554)) % 0.52/0.72 (step-pop @p556 :rule scope :premises (@p555)) % 0.52/0.72 (step-pop @p557 :rule scope :premises (@p556)) % 0.52/0.72 (step-pop @p558 :rule scope :premises (@p557)) % 0.52/0.72 (step-pop @p559 :rule scope :premises (@p558)) % 0.52/0.72 (step @p237 :rule process_scope :premises (@p559) :args (@t244)) % 0.52/0.72 (step @p253 :rule implies_elim :premises (@p237)) % 0.52/0.72 (step @p254 :rule resolution :premises (@p253 @p205) :args (true @t244)) % 0.52/0.72 (step @p255 :rule not_and :premises (@p254)) % 0.52/0.72 (step @p256 :rule eq_resolve :premises (@p255 @p163)) % 0.52/0.72 (step @p257 :rule reordering :premises (@p256) :args ((or @t241 @t242 @t239 @t237 @t234 @t232 @t230 @t227 @t225 @t222 @t217 @t214 @t211 @t209 @t208))) % 0.52/0.72 (step @p258 :rule chain_m_resolution :premises (@p257 @p147 @p61 @p146 @p145 @p144 @p140 @p139 @p135 @p134 @p130 @p129 @p125 @p124 @p120) :args (@t209 (@list false false false false false false false false false false false false false true) (@list @t240 @t170 @t238 @t236 @t233 @t231 @t229 @t226 @t224 @t221 @t216 @t213 @t210 @t208))) % 0.52/0.72 (step @p259 :rule bool-impl-elim :args (@t4 @t12)) % 0.52/0.72 (step @p260 :rule cong :premises (@p259) :args (@t15)) % 0.52/0.72 (step @p261 :rule eq_resolve :premises (@p8 @p260)) % 0.52/0.72 (step @p262 :rule instantiate :premises (@p261) :args ((@list tptp.tptp_minus_1 tptp.n0))) % 0.52/0.72 (step @p263 :rule cnf_or_pos :args (@t247)) % 0.52/0.72 (step @p264 :rule reordering :premises (@p263) :args ((or @t246 @t245 (not @t247)))) % 0.52/0.72 (step @p265 :rule chain_m_resolution :premises (@p264 @p57 @p262) :args (@t245 (@list false false) (@list @t169 @t247))) % 0.52/0.72 (step @p266 :rule true_intro :premises (@p265)) % 0.52/0.72 (step @p267 :rule refl :args (tptp.n0)) % 0.52/0.72 (step @p182 :rule symm :premises (@p124)) % 0.52/0.72 (step @p183 :rule cong :premises (@p147) :args (@t212)) % 0.52/0.72 (step @p268 :rule trans :premises (@p125 @p183 @p182)) % 0.52/0.72 (step @p269 :rule cong :premises (@p268 @p267) :args (@t197)) % 0.52/0.72 (step @p270 :rule trans :premises (@p269 @p266)) % 0.52/0.72 (step @p271 :rule true_elim :premises (@p270)) % 0.52/0.72 (step @p272 :rule cnf_or_pos :args (@t204)) % 0.52/0.72 (step @p273 :rule reordering :premises (@p272) :args ((or @t198 @t200 @t203 (not @t204)))) % 0.52/0.72 (step @p274 :rule chain_m_resolution :premises (@p273 @p271 @p258 @p119) :args (@t200 (@list false true false) (@list @t197 @t203 @t204))) % 0.52/0.72 (step @p275 :rule aci_norm :args ((= (or (or @t249 @t248) @t10) (or @t249 @t248 @t10)))) % 0.52/0.72 (step @p276 :rule refl :args (@t10)) % 0.52/0.72 (step @p277 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.52/0.72 (step @p278 :rule nary_cong :premises (@p277 @p276) :args ((or (not @t13) @t10))) % 0.52/0.72 (step @p279 :rule trans :premises (@p278 @p275)) % 0.52/0.72 (step @p280 :rule bool-impl-elim :args (@t13 @t10)) % 0.52/0.72 (step @p281 :rule trans :premises (@p280 @p279)) % 0.52/0.72 (step @p282 :rule cong :premises (@p281) :args (@t14)) % 0.52/0.72 (step @p283 :rule eq_resolve :premises (@p5 @p282)) % 0.52/0.72 (step @p284 :rule instantiate :premises (@p283) :args ((@list tptp.n0 @t188 @t94))) % 0.52/0.72 (step @p285 :rule cnf_or_pos :args (@t250)) % 0.52/0.72 (step @p286 :rule reordering :premises (@p285) :args ((or @t192 @t191 @t199 (not @t250)))) % 0.52/0.72 (step @p287 :rule chain_m_resolution :premises (@p286 @p284 @p274 @p97 @p92) :args (@t193 (@list false true false false) (@list @t250 @t199 @t190 @t189))) % 0.52/0.72 (step @p288 :rule refl :args (@t251)) % 0.52/0.72 (step @p289 :rule bool-double-not-elim :args (@t187)) % 0.52/0.72 (step @p290 :rule nary_cong :premises (@p289 @p288) :args ((or (not @t252) @t251))) % 0.52/0.72 (assume-push @p560 @t252) % 0.52/0.72 (step @p292 :rule skolemize :premises (@p560)) % 0.52/0.72 (step-pop @p561 :rule scope :premises (@p292)) % 0.52/0.72 (step @p293 :rule process_scope :premises (@p561) :args (@t251)) % 0.52/0.72 (step @p295 :rule implies_elim :premises (@p293)) % 0.52/0.72 (step @p296 :rule eq_resolve :premises (@p295 @p290)) % 0.52/0.72 (step @p297 :rule chain_m_resolution :premises (@p296 @p287) :args (@t187 @t205 (@list @t193))) % 0.52/0.72 (step @p298 :rule eq-symm :args (tptp.pvar1402_init tptp.init)) % 0.52/0.72 (step @p299 :rule eq-symm :args (tptp.pvar1401_init tptp.init)) % 0.52/0.72 (step @p300 :rule eq-symm :args (tptp.pvar1400_init tptp.init)) % 0.52/0.72 (step @p301 :rule nary_cong :premises (@p300 @p299 @p298) :args (@t90)) % 0.52/0.72 (step @p302 :rule refl :args (@t91)) % 0.52/0.72 (step @p303 :rule cong :premises (@p302 @p301) :args (@t92)) % 0.52/0.72 (step @p304 :rule aci_norm :args ((= (or (or @t185 @t184) @t183) @t186))) % 0.52/0.72 (step @p305 :rule refl :args (@t183)) % 0.52/0.72 (step @p306 :rule bool-and-de-morgan :args (@t38 @t95 true)) % 0.52/0.72 (step @p307 :rule nary_cong :premises (@p306 @p305) :args ((or (not @t96) @t183))) % 0.52/0.72 (step @p308 :rule trans :premises (@p307 @p304)) % 0.52/0.72 (step @p309 :rule bool-impl-elim :args (@t96 @t183)) % 0.52/0.72 (step @p310 :rule trans :premises (@p309 @p308)) % 0.52/0.72 (step @p311 :rule cong :premises (@p310) :args ((forall @t98 (=> @t96 @t183)))) % 0.52/0.72 (step @p312 :rule eq-symm :args (@t93 tptp.init)) % 0.52/0.72 (step @p313 :rule refl :args (@t96)) % 0.52/0.72 (step @p314 :rule cong :premises (@p313 @p312) :args (@t97)) % 0.52/0.72 (step @p315 :rule cong :premises (@p314) :args (@t99)) % 0.52/0.72 (step @p316 :rule trans :premises (@p315 @p311)) % 0.52/0.72 (step @p317 :rule aci_norm :args ((= (or (or @t255 @t254) @t253) @t256))) % 0.52/0.72 (step @p318 :rule refl :args (@t253)) % 0.52/0.72 (step @p319 :rule bool-and-de-morgan :args (@t103 @t102 true)) % 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alpha_equiv :args (@t311 (@list @t60) (@list @t100))) % 0.52/0.72 (step @p464 :rule equiv_elim1 :premises (@p463)) % 0.52/0.72 (step @p465 :rule reordering :premises (@p464) :args ((or @t312 (not @t311)))) % 0.52/0.72 (step @p466 :rule chain_m_resolution :premises (@p465 @p462) :args (@t312 @t205 (@list @t311))) % 0.52/0.72 (step @p467 :rule and_elim :premises (@p461) :args (10)) % 0.52/0.72 (step @p468 :rule alpha_equiv :args (@t313 (@list @t18) (@list @t108))) % 0.52/0.72 (step @p469 :rule equiv_elim1 :premises (@p468)) % 0.52/0.72 (step @p470 :rule reordering :premises (@p469) :args ((or @t314 (not @t313)))) % 0.52/0.72 (step @p471 :rule chain_m_resolution :premises (@p470 @p467) :args (@t314 @t205 (@list @t313))) % 0.52/0.72 (step @p472 :rule and_elim :premises (@p461) :args (9)) % 0.52/0.72 (step @p473 :rule alpha_equiv :args (@t315 (@list @t290 @t32) (@list @t261 @t58))) % 0.52/0.72 (step @p474 :rule equiv_elim1 :premises (@p473)) % 0.52/0.72 (step @p475 :rule reordering :premises (@p474) :args ((or @t316 (not @t315)))) % 0.52/0.72 (step @p476 :rule chain_m_resolution :premises (@p475 @p472) :args (@t316 @t205 (@list @t315))) % 0.52/0.72 (step @p477 :rule and_elim :premises (@p461) :args (8)) % 0.52/0.72 (step @p478 :rule and_elim :premises (@p461) :args (7)) % 0.52/0.72 (step @p479 :rule and_elim :premises (@p461) :args (6)) % 0.52/0.72 (step @p480 :rule and_elim :premises (@p461) :args (5)) % 0.52/0.72 (step @p481 :rule and_elim :premises (@p461) :args (4)) % 0.52/0.72 (step @p482 :rule and_elim :premises (@p461) :args (3)) % 0.52/0.72 (step @p483 :rule and_elim :premises (@p461) :args (2)) % 0.52/0.72 (step @p484 :rule and_elim :premises (@p461) :args (1)) % 0.52/0.72 (step @p485 :rule and_elim :premises (@p461) :args (0)) % 0.52/0.72 (step @p486 :rule not_implies_elim2 :premises (@p460)) % 0.52/0.72 (step @p487 :rule not_and :premises (@p486)) % 0.52/0.72 (step @p488 :rule chain_m_resolution :premises (@p487 @p485 @p484 @p483 @p482 @p481 @p480 @p479 @p478 @p477 @p476 @p471 @p466 @p297) :args ((not @t318) (@list false false false false false false false false false false false false false) (@list (= tptp.init tptp.s_best7_init) (= tptp.init tptp.s_sworst7_init) (= tptp.init tptp.s_worst7_init) @t134 @t133 @t132 @t131 @t130 @t129 @t316 @t314 @t312 @t187))) % 0.52/0.72 (step @p489 :rule cnf_implies_neg1 :args (@t318)) % 0.52/0.72 (step @p490 :rule reordering :premises (@p489) :args ((or @t91 @t318))) % 0.52/0.72 (step @p491 :rule chain_m_resolution :premises (@p490 @p488) :args (@t91 @t319 @t320)) % 0.52/0.72 (step @p492 :rule cnf_implies_neg2 :args (@t318)) % 0.52/0.72 (step @p493 :rule chain_m_resolution :premises (@p492 @p488) :args ((not @t317) @t319 @t320)) % 0.52/0.72 (step @p494 :rule and_elim :premises (@p461) :args (12)) % 0.52/0.72 (step @p495 :rule implies_elim :premises (@p494)) % 0.52/0.72 (step @p496 :rule reordering :premises (@p495) :args ((or @t317 (not @t91)))) % 0.52/0.72 (step @p497 false :rule chain_m_resolution :premises (@p496 @p493 @p491) :args (false (@list true false) (@list @t317 @t91))) % 0.52/0.72 ) % 0.52/0.72 % SZS output end Proof % 0.52/0.72 % cvc5 exiting %------------------------------------------------------------------------------