%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV029+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 : n005.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 09:00:22 AM UTC 2026 % Result : Theorem 0.45s 0.67s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV029+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.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 19:53:18 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.67 % SZS status Theorem % 0.45/0.67 % SZS output start Proof % 0.45/0.67 ( % 0.45/0.67 (declare-sort $$unsorted 0) % 0.45/0.67 (declare-const tptp.s_worst7_init $$unsorted) % 0.45/0.67 (declare-const tptp.s_best7 $$unsorted) % 0.45/0.67 (declare-const tptp.simplex7_init $$unsorted) % 0.45/0.67 (declare-const tptp.s_values7_init $$unsorted) % 0.45/0.67 (declare-const tptp.pv1376 $$unsorted) % 0.45/0.67 (declare-const tptp.loopcounter $$unsorted) % 0.45/0.67 (declare-const tptp.pvar1400_init $$unsorted) % 0.45/0.67 (declare-const tptp.pvar1402_init $$unsorted) % 0.45/0.67 (declare-const tptp.init $$unsorted) % 0.45/0.67 (declare-const tptp.def $$unsorted) % 0.45/0.67 (declare-const tptp.use $$unsorted) % 0.45/0.67 (declare-const tptp.true Bool) % 0.45/0.67 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.s_worst7 $$unsorted) % 0.45/0.67 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.s_try7_init $$unsorted) % 0.45/0.67 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.s_sworst7_init $$unsorted) % 0.45/0.67 (declare-const tptp.n3 $$unsorted) % 0.45/0.67 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.45/0.67 (declare-const tptp.n0 $$unsorted) % 0.45/0.67 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.n1 $$unsorted) % 0.45/0.67 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.n5 $$unsorted) % 0.45/0.67 (declare-const tptp.s_best7_init $$unsorted) % 0.45/0.67 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.s_sworst7 $$unsorted) % 0.45/0.67 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.pvar1401_init $$unsorted) % 0.45/0.67 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.45/0.67 (declare-const tptp.s_center7_init $$unsorted) % 0.45/0.67 (declare-const tptp.n4 $$unsorted) % 0.45/0.67 (declare-const tptp.n2 $$unsorted) % 0.45/0.67 (define @t1 () (@var "Y" $$unsorted)) % 0.45/0.67 (define @t2 () (@var "X" $$unsorted)) % 0.45/0.67 (define @t3 () (= @t2 @t1)) % 0.45/0.67 (define @t4 () (tptp.gt @t1 @t2)) % 0.45/0.67 (define @t5 () (tptp.gt @t2 @t1)) % 0.45/0.67 (define @t6 () (@list @t2 @t1)) % 0.45/0.67 (define @t7 () (@var "Z" $$unsorted)) % 0.45/0.67 (define @t8 () (@list @t2 @t1 @t7)) % 0.45/0.67 (define @t9 () (@list @t2)) % 0.45/0.67 (define @t10 () (tptp.leq @t2 @t1)) % 0.45/0.67 (define @t11 () (tptp.succ @t2)) % 0.45/0.67 (define @t12 () (tptp.succ @t1)) % 0.45/0.67 (define @t13 () (@var "C" $$unsorted)) % 0.45/0.67 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.45/0.67 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.45/0.67 (define @t16 () (@list @t2 @t13)) % 0.45/0.67 (define @t17 () (@var "Val" $$unsorted)) % 0.45/0.67 (define @t18 () (@var "I" $$unsorted)) % 0.45/0.67 (define @t19 () (@var "U" $$unsorted)) % 0.45/0.67 (define @t20 () (@var "L" $$unsorted)) % 0.45/0.67 (define @t21 () (tptp.leq @t18 @t19)) % 0.45/0.67 (define @t22 () (@var "J" $$unsorted)) % 0.45/0.67 (define @t23 () (@var "U2" $$unsorted)) % 0.45/0.67 (define @t24 () (@var "L2" $$unsorted)) % 0.45/0.67 (define @t25 () (@var "U1" $$unsorted)) % 0.45/0.67 (define @t26 () (@var "L1" $$unsorted)) % 0.45/0.67 (define @t27 () (@var "A" $$unsorted)) % 0.45/0.67 (define @t28 () (tptp.trans @t27)) % 0.45/0.67 (define @t29 () (@var "N" $$unsorted)) % 0.45/0.67 (define @t30 () (tptp.leq @t22 @t29)) % 0.45/0.67 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.45/0.67 (define @t32 () (tptp.leq @t18 @t29)) % 0.45/0.67 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.45/0.67 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.45/0.67 (define @t35 () (@list @t18 @t22)) % 0.45/0.67 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.45/0.67 (define @t37 () (@list @t27 @t29)) % 0.45/0.67 (define @t38 () (tptp.inv @t27)) % 0.45/0.67 (define @t39 () (@var "VAL" $$unsorted)) % 0.45/0.67 (define @t40 () (@var "K" $$unsorted)) % 0.45/0.67 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.45/0.67 (define @t42 () (@var "B" $$unsorted)) % 0.45/0.67 (define @t43 () (tptp.tptp_madd @t27 @t42)) % 0.45/0.67 (define @t44 () (= (tptp.a_select3 @t42 @t18 @t22) (tptp.a_select3 @t42 @t22 @t18))) % 0.45/0.67 (define @t45 () (forall @t35 (=> @t34 @t44))) % 0.45/0.67 (define @t46 () (and @t36 @t45)) % 0.45/0.67 (define @t47 () (@list @t27 @t42 @t29)) % 0.45/0.67 (define @t48 () (tptp.tptp_msub @t27 @t42)) % 0.45/0.67 (define @t49 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t42 @t28))) % 0.45/0.67 (define @t50 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))) % 0.45/0.67 (define @t51 () (@var "M" $$unsorted)) % 0.45/0.67 (define @t52 () (and @t33 (tptp.leq @t18 @t51) @t31 (tptp.leq @t22 @t51))) % 0.45/0.67 (define @t53 () (@var "E" $$unsorted)) % 0.45/0.67 (define @t54 () (@var "F" $$unsorted)) % 0.45/0.67 (define @t55 () (@var "D" $$unsorted)) % 0.45/0.67 (define @t56 () (tptp.tptp_madd @t27 (tptp.tptp_mmul @t42 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t13 (tptp.tptp_mmul @t55 (tptp.trans @t13))) (tptp.tptp_mmul @t53 (tptp.tptp_mmul @t54 (tptp.trans @t53)))) (tptp.trans @t42))))) % 0.45/0.67 (define @t57 () (@var "Body" $$unsorted)) % 0.45/0.67 (define @t58 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t57)) % 0.45/0.67 (define @t59 () (@list @t57)) % 0.45/0.67 (define @t60 () (tptp.succ @t11)) % 0.45/0.67 (define @t61 () (tptp.succ @t60)) % 0.45/0.67 (define @t62 () (tptp.succ @t61)) % 0.45/0.67 (define @t63 () (tptp.succ @t62)) % 0.45/0.67 (define @t64 () (tptp.pred @t2)) % 0.45/0.67 (define @t65 () (@var "V" $$unsorted)) % 0.45/0.67 (define @t66 () (tptp.tptp_update3 @t2 @t19 @t65 @t39)) % 0.45/0.67 (define @t67 () (@var "VAL2" $$unsorted)) % 0.45/0.67 (define @t68 () (= @t18 @t19)) % 0.45/0.67 (define @t69 () (not @t68)) % 0.45/0.67 (define @t70 () (@var "J0" $$unsorted)) % 0.45/0.67 (define @t71 () (@var "I0" $$unsorted)) % 0.45/0.67 (define @t72 () (tptp.leq @t71 @t19)) % 0.45/0.67 (define @t73 () (tptp.leq tptp.n0 @t71)) % 0.45/0.67 (define @t74 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.45/0.67 (define @t75 () (tptp.a_select2 @t74 @t19)) % 0.45/0.67 (define @t76 () (forall (@list @t2 @t19 @t39) (= @t75 @t39))) % 0.45/0.67 (define @t77 () (tptp.a_select2 (tptp.tptp_update2 @t2 @t18 @t67) @t19)) % 0.45/0.67 (define @t78 () (tptp.a_select2 @t2 @t19)) % 0.45/0.67 (define @t79 () (and @t69 (= @t78 @t39))) % 0.45/0.67 (define @t80 () (=> @t79 (= @t77 @t39))) % 0.45/0.67 (define @t81 () (@list @t18 @t19 @t2 @t39 @t67)) % 0.45/0.67 (define @t82 () (forall @t81 @t80)) % 0.45/0.67 (define @t83 () (and (= tptp.pvar1400_init tptp.init) (= tptp.pvar1401_init tptp.init) (= tptp.pvar1402_init tptp.init))) % 0.45/0.67 (define @t84 () (tptp.gt tptp.loopcounter tptp.n1)) % 0.45/0.67 (define @t85 () (=> @t84 @t83)) % 0.45/0.67 (define @t86 () (tptp.a_select2 tptp.s_try7_init @t22)) % 0.45/0.67 (define @t87 () (tptp.minus tptp.n3 tptp.n1)) % 0.45/0.67 (define @t88 () (tptp.leq @t22 @t87)) % 0.45/0.67 (define @t89 () (and @t31 @t88)) % 0.45/0.67 (define @t90 () (=> @t89 (= @t86 tptp.init))) % 0.45/0.67 (define @t91 () (@list @t22)) % 0.45/0.67 (define @t92 () (forall @t91 @t90)) % 0.45/0.67 (define @t93 () (tptp.a_select2 tptp.s_center7_init @t18)) % 0.45/0.67 (define @t94 () (tptp.leq @t18 tptp.n2)) % 0.45/0.67 (define @t95 () (and @t33 @t94)) % 0.45/0.67 (define @t96 () (=> @t95 (= @t93 tptp.init))) % 0.45/0.67 (define @t97 () (@list @t18)) % 0.45/0.67 (define @t98 () (forall @t97 @t96)) % 0.45/0.67 (define @t99 () (@var "H" $$unsorted)) % 0.45/0.67 (define @t100 () (tptp.tptp_update2 tptp.s_values7_init tptp.pv1376 tptp.init)) % 0.45/0.67 (define @t101 () (tptp.a_select2 @t100 @t99)) % 0.45/0.67 (define @t102 () (tptp.leq @t99 tptp.n3)) % 0.45/0.67 (define @t103 () (tptp.leq tptp.n0 @t99)) % 0.45/0.67 (define @t104 () (and @t103 @t102)) % 0.45/0.67 (define @t105 () (=> @t104 (= @t101 tptp.init))) % 0.45/0.67 (define @t106 () (@list @t99)) % 0.45/0.67 (define @t107 () (forall @t106 @t105)) % 0.45/0.67 (define @t108 () (@var "G" $$unsorted)) % 0.45/0.67 (define @t109 () (tptp.a_select3 tptp.simplex7_init @t108 @t54)) % 0.45/0.67 (define @t110 () (tptp.leq @t108 tptp.n3)) % 0.45/0.67 (define @t111 () (tptp.leq tptp.n0 @t108)) % 0.45/0.67 (define @t112 () (and @t111 @t110)) % 0.45/0.67 (define @t113 () (=> @t112 (= @t109 tptp.init))) % 0.45/0.67 (define @t114 () (@list @t108)) % 0.45/0.67 (define @t115 () (forall @t114 @t113)) % 0.45/0.67 (define @t116 () (tptp.leq @t54 tptp.n2)) % 0.45/0.67 (define @t117 () (tptp.leq tptp.n0 @t54)) % 0.45/0.67 (define @t118 () (and @t117 @t116)) % 0.45/0.67 (define @t119 () (=> @t118 @t115)) % 0.45/0.67 (define @t120 () (@list @t54)) % 0.45/0.67 (define @t121 () (forall @t120 @t119)) % 0.45/0.67 (define @t122 () (tptp.leq tptp.s_worst7 tptp.n3)) % 0.45/0.67 (define @t123 () (tptp.leq tptp.s_sworst7 tptp.n3)) % 0.45/0.67 (define @t124 () (tptp.leq tptp.s_best7 tptp.n3)) % 0.45/0.67 (define @t125 () (tptp.leq tptp.n0 tptp.s_worst7)) % 0.45/0.67 (define @t126 () (tptp.leq tptp.n0 tptp.s_sworst7)) % 0.45/0.67 (define @t127 () (tptp.leq tptp.n0 tptp.s_best7)) % 0.45/0.67 (define @t128 () (= tptp.s_worst7_init tptp.init)) % 0.45/0.67 (define @t129 () (= tptp.s_sworst7_init tptp.init)) % 0.45/0.67 (define @t130 () (= tptp.s_best7_init tptp.init)) % 0.45/0.67 (define @t131 () (= tptp.init tptp.init)) % 0.45/0.67 (define @t132 () (and @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t107 @t98 @t92 @t85)) % 0.45/0.67 (define @t133 () (tptp.a_select2 tptp.s_try7_init @t53)) % 0.45/0.67 (define @t134 () (tptp.leq @t53 @t87)) % 0.45/0.67 (define @t135 () (tptp.leq tptp.n0 @t53)) % 0.45/0.67 (define @t136 () (and @t135 @t134)) % 0.45/0.67 (define @t137 () (=> @t136 (= @t133 tptp.init))) % 0.45/0.67 (define @t138 () (@list @t53)) % 0.45/0.67 (define @t139 () (forall @t138 @t137)) % 0.45/0.67 (define @t140 () (tptp.a_select2 tptp.s_center7_init @t55)) % 0.45/0.67 (define @t141 () (tptp.leq @t55 tptp.n2)) % 0.45/0.67 (define @t142 () (tptp.leq tptp.n0 @t55)) % 0.45/0.67 (define @t143 () (and @t142 @t141)) % 0.45/0.67 (define @t144 () (=> @t143 (= @t140 tptp.init))) % 0.45/0.67 (define @t145 () (@list @t55)) % 0.45/0.67 (define @t146 () (forall @t145 @t144)) % 0.45/0.67 (define @t147 () (tptp.a_select2 tptp.s_values7_init @t13)) % 0.45/0.67 (define @t148 () (tptp.leq @t13 tptp.n3)) % 0.45/0.67 (define @t149 () (tptp.leq tptp.n0 @t13)) % 0.45/0.67 (define @t150 () (and @t149 @t148)) % 0.45/0.67 (define @t151 () (=> @t150 (= @t147 tptp.init))) % 0.45/0.67 (define @t152 () (@list @t13)) % 0.45/0.67 (define @t153 () (forall @t152 @t151)) % 0.45/0.67 (define @t154 () (tptp.a_select3 tptp.simplex7_init @t42 @t27)) % 0.45/0.67 (define @t155 () (tptp.leq @t42 tptp.n3)) % 0.45/0.67 (define @t156 () (tptp.leq tptp.n0 @t42)) % 0.45/0.67 (define @t157 () (and @t156 @t155)) % 0.45/0.67 (define @t158 () (=> @t157 (= @t154 tptp.init))) % 0.45/0.67 (define @t159 () (@list @t42)) % 0.45/0.67 (define @t160 () (forall @t159 @t158)) % 0.45/0.67 (define @t161 () (tptp.leq @t27 tptp.n2)) % 0.45/0.67 (define @t162 () (tptp.leq tptp.n0 @t27)) % 0.45/0.67 (define @t163 () (and @t162 @t161)) % 0.45/0.67 (define @t164 () (=> @t163 @t160)) % 0.45/0.67 (define @t165 () (@list @t27)) % 0.45/0.67 (define @t166 () (forall @t165 @t164)) % 0.45/0.67 (define @t167 () (tptp.leq tptp.pv1376 tptp.n3)) % 0.45/0.67 (define @t168 () (tptp.leq tptp.n0 tptp.pv1376)) % 0.45/0.67 (define @t169 () (and @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t168 @t124 @t123 @t122 @t167 @t166 @t153 @t146 @t139 @t85)) % 0.45/0.67 (define @t170 () (=> @t169 @t132)) % 0.45/0.67 (define @t171 () (not @t170)) % 0.45/0.67 (define @t172 () (= @t2 tptp.n4)) % 0.45/0.67 (define @t173 () (= @t2 tptp.n3)) % 0.45/0.67 (define @t174 () (= @t2 tptp.n2)) % 0.45/0.67 (define @t175 () (= @t2 tptp.n1)) % 0.45/0.67 (define @t176 () (= @t2 tptp.n0)) % 0.45/0.67 (define @t177 () (tptp.succ tptp.n0)) % 0.45/0.67 (define @t178 () (tptp.succ @t177)) % 0.45/0.67 (define @t179 () (tptp.succ @t178)) % 0.45/0.67 (define @t180 () (tptp.succ @t179)) % 0.45/0.67 (define @t181 () (and (= tptp.init tptp.pvar1400_init) (= tptp.init tptp.pvar1401_init) (= tptp.init tptp.pvar1402_init))) % 0.45/0.67 (define @t182 () (=> @t84 @t181)) % 0.45/0.67 (define @t183 () (= tptp.init @t86)) % 0.45/0.67 (define @t184 () (not @t88)) % 0.45/0.67 (define @t185 () (not @t31)) % 0.45/0.67 (define @t186 () (or @t185 @t184 @t183)) % 0.45/0.67 (define @t187 () (forall @t91 @t186)) % 0.45/0.67 (define @t188 () (= tptp.init @t93)) % 0.45/0.67 (define @t189 () (not @t94)) % 0.45/0.67 (define @t190 () (not @t33)) % 0.45/0.67 (define @t191 () (or @t190 @t189 @t188)) % 0.45/0.67 (define @t192 () (forall @t97 @t191)) % 0.45/0.67 (define @t193 () (= tptp.init @t101)) % 0.45/0.67 (define @t194 () (not @t102)) % 0.45/0.67 (define @t195 () (not @t103)) % 0.45/0.67 (define @t196 () (or @t195 @t194 @t193)) % 0.45/0.67 (define @t197 () (forall @t106 @t196)) % 0.45/0.67 (define @t198 () (@var "BOUND_VARIABLE_8527" $$unsorted)) % 0.45/0.67 (define @t199 () (= tptp.init (tptp.a_select3 tptp.simplex7_init @t198 @t54))) % 0.45/0.67 (define @t200 () (not (tptp.leq @t198 tptp.n3))) % 0.45/0.67 (define @t201 () (not (tptp.leq tptp.n0 @t198))) % 0.45/0.67 (define @t202 () (not @t116)) % 0.45/0.67 (define @t203 () (not @t117)) % 0.45/0.67 (define @t204 () (or @t203 @t202 @t201 @t200 @t199)) % 0.45/0.67 (define @t205 () (@list @t54 @t198)) % 0.45/0.67 (define @t206 () (forall @t205 @t204)) % 0.45/0.67 (define @t207 () (= tptp.init tptp.s_worst7_init)) % 0.45/0.67 (define @t208 () (= tptp.init tptp.s_sworst7_init)) % 0.45/0.67 (define @t209 () (= tptp.init tptp.s_best7_init)) % 0.45/0.67 (define @t210 () (or @t201 @t200 @t199)) % 0.45/0.67 (define @t211 () (or @t203 @t202 @t210)) % 0.45/0.67 (define @t212 () (forall @t205 @t211)) % 0.45/0.67 (define @t213 () (@list @t198)) % 0.45/0.67 (define @t214 () (forall @t213 @t211)) % 0.45/0.67 (define @t215 () (forall @t213 @t210)) % 0.45/0.67 (define @t216 () (or @t203 @t202 @t215)) % 0.45/0.67 (define @t217 () (= tptp.init @t109)) % 0.45/0.67 (define @t218 () (not @t110)) % 0.45/0.67 (define @t219 () (not @t111)) % 0.45/0.67 (define @t220 () (or @t219 @t218 @t217)) % 0.45/0.67 (define @t221 () (forall @t114 @t220)) % 0.45/0.67 (define @t222 () (or @t203 @t202 @t221)) % 0.45/0.67 (define @t223 () (= tptp.init @t133)) % 0.45/0.67 (define @t224 () (not @t134)) % 0.45/0.67 (define @t225 () (not @t135)) % 0.45/0.67 (define @t226 () (or @t225 @t224 @t223)) % 0.45/0.67 (define @t227 () (forall @t138 @t226)) % 0.45/0.67 (define @t228 () (= tptp.init @t140)) % 0.45/0.67 (define @t229 () (not @t141)) % 0.45/0.67 (define @t230 () (not @t142)) % 0.45/0.67 (define @t231 () (or @t230 @t229 @t228)) % 0.45/0.67 (define @t232 () (forall @t145 @t231)) % 0.45/0.67 (define @t233 () (= tptp.init @t147)) % 0.45/0.67 (define @t234 () (not @t148)) % 0.45/0.67 (define @t235 () (not @t149)) % 0.45/0.67 (define @t236 () (or @t235 @t234 @t233)) % 0.45/0.67 (define @t237 () (forall @t152 @t236)) % 0.45/0.67 (define @t238 () (@var "BOUND_VARIABLE_8462" $$unsorted)) % 0.45/0.67 (define @t239 () (= tptp.init (tptp.a_select3 tptp.simplex7_init @t238 @t27))) % 0.45/0.67 (define @t240 () (not (tptp.leq @t238 tptp.n3))) % 0.45/0.67 (define @t241 () (not (tptp.leq tptp.n0 @t238))) % 0.45/0.67 (define @t242 () (not @t161)) % 0.45/0.67 (define @t243 () (not @t162)) % 0.45/0.67 (define @t244 () (or @t243 @t242 @t241 @t240 @t239)) % 0.45/0.67 (define @t245 () (@list @t27 @t238)) % 0.45/0.67 (define @t246 () (forall @t245 @t244)) % 0.45/0.67 (define @t247 () (or @t241 @t240 @t239)) % 0.45/0.67 (define @t248 () (or @t243 @t242 @t247)) % 0.45/0.67 (define @t249 () (forall @t245 @t248)) % 0.45/0.67 (define @t250 () (@list @t238)) % 0.45/0.67 (define @t251 () (forall @t250 @t248)) % 0.45/0.67 (define @t252 () (forall @t250 @t247)) % 0.45/0.67 (define @t253 () (or @t243 @t242 @t252)) % 0.45/0.67 (define @t254 () (= tptp.init @t154)) % 0.45/0.67 (define @t255 () (not @t155)) % 0.45/0.67 (define @t256 () (not @t156)) % 0.45/0.67 (define @t257 () (or @t256 @t255 @t254)) % 0.45/0.67 (define @t258 () (forall @t159 @t257)) % 0.45/0.67 (define @t259 () (or @t243 @t242 @t258)) % 0.45/0.67 (define @t260 () (@list false)) % 0.45/0.67 (define @t261 () (@quantifiers_skolemize @t197 0)) % 0.45/0.67 (define @t262 () (tptp.leq tptp.n0 @t261)) % 0.45/0.67 (define @t263 () (tptp.a_select2 @t100 @t261)) % 0.45/0.67 (define @t264 () (= tptp.init @t263)) % 0.45/0.67 (define @t265 () (tptp.leq @t261 tptp.n3)) % 0.45/0.67 (define @t266 () (not @t265)) % 0.45/0.67 (define @t267 () (not @t262)) % 0.45/0.67 (define @t268 () (or @t267 @t266 @t264)) % 0.45/0.67 (define @t269 () (tptp.a_select2 tptp.s_values7_init @t261)) % 0.45/0.67 (define @t270 () (= tptp.init @t269)) % 0.45/0.67 (define @t271 () (or @t267 @t266 @t270)) % 0.45/0.67 (define @t272 () (tptp.a_select2 @t100 tptp.pv1376)) % 0.45/0.67 (define @t273 () (= tptp.init @t272)) % 0.45/0.67 (define @t274 () (= tptp.pv1376 @t261)) % 0.45/0.67 (define @t275 () (and @t273 @t274)) % 0.45/0.67 (define @t276 () (= @t78 @t77)) % 0.45/0.67 (define @t277 () (or @t68 @t276)) % 0.45/0.67 (define @t278 () (not (= @t78 @t78))) % 0.45/0.67 (define @t279 () (or @t68 @t278 @t276)) % 0.45/0.67 (define @t280 () (@list @t18 @t19 @t2 @t67)) % 0.45/0.67 (define @t281 () (= @t39 @t77)) % 0.45/0.67 (define @t282 () (= @t39 @t78)) % 0.45/0.67 (define @t283 () (not @t282)) % 0.45/0.67 (define @t284 () (or @t283 @t68 @t283 @t281)) % 0.45/0.67 (define @t285 () (@list @t39)) % 0.45/0.67 (define @t286 () (or @t68 @t283 @t281)) % 0.45/0.67 (define @t287 () (forall @t285 @t286)) % 0.45/0.67 (define @t288 () (forall @t280 @t287)) % 0.45/0.67 (define @t289 () (forall (@list @t18 @t19 @t2 @t67 @t39) @t286)) % 0.45/0.67 (define @t290 () (and @t69 @t282)) % 0.45/0.67 (define @t291 () (or @t274 (= @t269 @t263))) % 0.45/0.67 (define @t292 () (forall @t280 @t277)) % 0.45/0.67 (define @t293 () (= @t263 @t269)) % 0.45/0.67 (define @t294 () (or @t274 @t293)) % 0.45/0.67 (define @t295 () (not @t270)) % 0.45/0.67 (define @t296 () (not @t293)) % 0.45/0.67 (define @t297 () (not @t209)) % 0.45/0.67 (define @t298 () (not @t264)) % 0.45/0.67 (define @t299 () (and @t209 @t270 @t293 @t298)) % 0.45/0.67 (define @t300 () (not @t268)) % 0.45/0.67 (define @t301 () (not @t197)) % 0.45/0.67 (define @t302 () (@list true)) % 0.45/0.67 (define @t303 () (@list @t182)) % 0.45/0.67 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.45/0.67 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.45/0.67 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.45/0.67 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.45/0.67 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.45/0.67 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.45/0.67 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.45/0.67 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.45/0.67 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.45/0.67 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.45/0.67 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.45/0.67 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.45/0.67 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.45/0.67 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.45/0.67 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.45/0.67 (assume @p16 (forall (@list @t18 @t20 @t19 @t17) (=> (and (tptp.leq @t20 @t18) @t21) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t20 @t19) @t17) @t18) @t17)))) % 0.45/0.67 (assume @p17 (forall (@list @t18 @t26 @t25 @t22 @t24 @t23 @t17) (=> (and (tptp.leq @t26 @t18) (tptp.leq @t18 @t25) (tptp.leq @t24 @t22) (tptp.leq @t22 @t23)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t26 @t25) (tptp.dim @t24 @t23) @t17) @t18 @t22) @t17)))) % 0.45/0.67 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.45/0.67 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.45/0.67 (assume @p20 (forall @t37 (=> @t36 (forall (@list @t18 @t22 @t40 @t39) (=> (and @t33 @t32 @t31 @t30 (tptp.leq tptp.n0 @t40) (tptp.leq @t40 @t29)) (= (tptp.a_select3 @t41 @t18 @t22) (tptp.a_select3 @t41 @t22 @t18))))))) % 0.45/0.67 (assume @p21 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))))))) % 0.45/0.67 (assume @p22 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t48 @t18 @t22) (tptp.a_select3 @t48 @t22 @t18))))))) % 0.45/0.67 (assume @p23 (forall @t47 (=> @t45 @t50))) % 0.45/0.67 (assume @p24 (forall (@list @t27 @t42 @t29 @t51) (=> (forall @t35 (=> @t52 @t44)) @t50))) % 0.45/0.67 (assume @p25 (forall (@list @t27 @t42 @t13 @t55 @t53 @t54 @t29 @t51) (=> (and (forall @t35 (=> @t52 (= (tptp.a_select3 @t55 @t18 @t22) (tptp.a_select3 @t55 @t22 @t18)))) @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t54 @t18 @t22) (tptp.a_select3 @t54 @t22 @t18))))) (forall @t35 (=> @t34 (= (tptp.a_select3 @t56 @t18 @t22) (tptp.a_select3 @t56 @t22 @t18))))))) % 0.45/0.67 (assume @p26 (forall @t59 (= @t58 tptp.n0))) % 0.45/0.67 (assume @p27 (forall @t59 (= tptp.tptp_float_0_0 @t58))) % 0.45/0.67 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.45/0.67 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.45/0.67 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t11))) % 0.45/0.67 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t60))) % 0.45/0.67 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t60))) % 0.45/0.67 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t61))) % 0.45/0.67 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t61))) % 0.45/0.67 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t62))) % 0.45/0.67 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t62))) % 0.45/0.67 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t63))) % 0.45/0.67 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t63))) % 0.45/0.67 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t64))) % 0.45/0.67 (assume @p40 (forall @t9 (= (tptp.pred @t11) @t2))) % 0.45/0.67 (assume @p41 (forall @t9 (= (tptp.succ @t64) @t2))) % 0.45/0.67 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.45/0.67 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.45/0.67 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.45/0.67 (assume @p45 (forall (@list @t2 @t19 @t65 @t39) (= (tptp.a_select3 @t66 @t19 @t65) @t39))) % 0.45/0.67 (assume @p46 (forall (@list @t18 @t22 @t19 @t65 @t2 @t39 @t67) (=> (and @t69 (= @t22 @t65) (= (tptp.a_select3 @t2 @t19 @t65) @t39)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t18 @t22 @t67) @t19 @t65) @t39)))) % 0.45/0.67 (assume @p47 (forall (@list @t18 @t22 @t19 @t65 @t2 @t39) (=> (and (forall (@list @t71 @t70) (=> (and @t73 (tptp.leq tptp.n0 @t70) @t72 (tptp.leq @t70 @t65)) (= (tptp.a_select3 @t2 @t71 @t70) @t39))) @t33 @t21 @t31 (tptp.leq @t22 @t65)) (= (tptp.a_select3 @t66 @t18 @t22) @t39)))) % 0.45/0.67 (assume @p48 @t76) % 0.45/0.67 (assume @p49 @t82) % 0.45/0.67 (assume @p50 (forall (@list @t18 @t19 @t2 @t39) (=> (and (forall (@list @t71) (=> (and @t73 @t72) (= (tptp.a_select2 @t2 @t71) @t39))) @t33 @t21) (= (tptp.a_select2 @t74 @t18) @t39)))) % 0.45/0.67 (assume @p51 tptp.true) % 0.45/0.67 (assume @p52 (not (= tptp.def tptp.use))) % 0.45/0.67 (assume @p53 @t171) % 0.45/0.67 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.45/0.67 (assume @p55 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.45/0.67 (assume @p56 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.45/0.67 (assume @p57 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.45/0.67 (assume @p58 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.45/0.67 (assume @p59 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.45/0.67 (assume @p60 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.45/0.67 (assume @p61 (tptp.gt tptp.n4 tptp.n0)) % 0.45/0.67 (assume @p62 (tptp.gt tptp.n5 tptp.n0)) % 0.45/0.67 (assume @p63 (tptp.gt tptp.n1 tptp.n0)) % 0.45/0.67 (assume @p64 (tptp.gt tptp.n2 tptp.n0)) % 0.45/0.67 (assume @p65 (tptp.gt tptp.n3 tptp.n0)) % 0.45/0.67 (assume @p66 (tptp.gt tptp.n4 tptp.n1)) % 0.45/0.67 (assume @p67 (tptp.gt tptp.n5 tptp.n1)) % 0.45/0.67 (assume @p68 (tptp.gt tptp.n2 tptp.n1)) % 0.45/0.67 (assume @p69 (tptp.gt tptp.n3 tptp.n1)) % 0.45/0.67 (assume @p70 (tptp.gt tptp.n4 tptp.n2)) % 0.45/0.67 (assume @p71 (tptp.gt tptp.n5 tptp.n2)) % 0.45/0.67 (assume @p72 (tptp.gt tptp.n3 tptp.n2)) % 0.45/0.67 (assume @p73 (tptp.gt tptp.n4 tptp.n3)) % 0.45/0.67 (assume @p74 (tptp.gt tptp.n5 tptp.n3)) % 0.45/0.67 (assume @p75 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t176 @t175 @t174 @t173 @t172)))) % 0.45/0.67 (assume @p76 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t176 @t175 @t174 @t173 @t172 (= @t2 tptp.n5))))) % 0.45/0.67 (assume @p77 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t176))) % 0.45/0.67 (assume @p78 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t176 @t175)))) % 0.45/0.67 (assume @p79 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t176 @t175 @t174)))) % 0.45/0.67 (assume @p80 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t176 @t175 @t174 @t173)))) % 0.45/0.67 (assume @p81 (= @t180 tptp.n4)) % 0.45/0.67 (assume @p82 (= (tptp.succ @t180) tptp.n5)) % 0.45/0.67 (assume @p83 (= @t177 tptp.n1)) % 0.45/0.67 (assume @p84 (= @t178 tptp.n2)) % 0.45/0.67 (assume @p85 (= @t179 tptp.n3)) % 0.45/0.67 (assume @p86 true) % 0.45/0.67 (step @p87 :rule aci_norm :args ((= (and true @t209 @t208 @t207 @t127 @t126 @t125 @t124 @t123 @t122 @t206 @t197 @t192 @t187 @t182) (and @t209 @t208 @t207 @t127 @t126 @t125 @t124 @t123 @t122 @t206 @t197 @t192 @t187 @t182)))) % 0.45/0.67 (step @p88 :rule eq-symm :args (tptp.pvar1402_init tptp.init)) % 0.45/0.67 (step @p89 :rule eq-symm :args (tptp.pvar1401_init tptp.init)) % 0.45/0.67 (step @p90 :rule eq-symm :args (tptp.pvar1400_init tptp.init)) % 0.45/0.67 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88) :args (@t83)) % 0.45/0.67 (step @p92 :rule refl :args (@t84)) % 0.45/0.67 (step @p93 :rule cong :premises (@p92 @p91) :args (@t85)) % 0.45/0.67 (step @p94 :rule aci_norm :args ((= (or (or @t185 @t184) @t183) @t186))) % 0.45/0.67 (step @p95 :rule refl :args (@t183)) % 0.45/0.67 (step @p96 :rule bool-and-de-morgan :args (@t31 @t88 true)) % 0.45/0.67 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or (not @t89) @t183))) % 0.45/0.67 (step @p98 :rule trans :premises (@p97 @p94)) % 0.45/0.67 (step @p99 :rule bool-impl-elim :args (@t89 @t183)) % 0.45/0.67 (step @p100 :rule trans :premises (@p99 @p98)) % 0.45/0.67 (step @p101 :rule cong 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@t39)) % 0.45/0.67 (step @p298 :rule cong :premises (@p297) :args (@t76)) % 0.45/0.67 (step @p299 :rule eq_resolve :premises (@p48 @p298)) % 0.45/0.67 (step @p300 :rule instantiate :premises (@p299) :args ((@list tptp.s_values7_init tptp.pv1376 tptp.init))) % 0.45/0.67 (assume-push @p450 @t273) % 0.45/0.67 (assume-push @p451 @t274) % 0.45/0.67 (assume-push @p452 @t274) % 0.45/0.67 (assume-push @p453 @t273) % 0.45/0.67 (step @p305 :rule refl :args (@t100)) % 0.45/0.67 (step @p306 :rule cong :premises (@p305 @p451) :args (@t272)) % 0.45/0.67 (step @p307 :rule trans :premises (@p300 @p306)) % 0.45/0.67 (step-pop @p454 :rule scope :premises (@p307)) % 0.45/0.67 (step-pop @p455 :rule scope :premises (@p454)) % 0.45/0.67 (step @p308 :rule process_scope :premises (@p455) :args (@t264)) % 0.45/0.67 (step @p311 :rule and_intro :premises (@p451 @p300)) % 0.45/0.67 (step @p312 :rule modus_ponens :premises (@p311 @p308)) % 0.45/0.67 (step-pop @p456 :rule scope :premises (@p312)) % 0.45/0.67 (step-pop @p457 :rule scope :premises (@p456)) % 0.45/0.67 (step @p313 :rule process_scope :premises (@p457) :args (@t264)) % 0.45/0.67 (step @p316 :rule implies_elim :premises (@p313)) % 0.45/0.67 (step @p317 :rule cnf_and_neg :args (@t275)) % 0.45/0.67 (step @p318 :rule resolution :premises (@p317 @p316) :args (true @t275)) % 0.45/0.67 (step @p319 :rule reordering :premises (@p318) :args ((or @t264 (not @t273) (not @t274)))) % 0.45/0.67 (step @p320 :rule aci_norm :args ((= (or @t68 false @t276) @t277))) % 0.45/0.67 (step @p321 :rule refl :args (@t276)) % 0.45/0.67 (step @p322 :rule evaluate :args ((not true))) % 0.45/0.67 (step @p323 :rule eq-refl :args (@t78)) % 0.45/0.67 (step @p324 :rule cong :premises (@p323) :args (@t278)) % 0.45/0.67 (step @p325 :rule trans :premises (@p324 @p322)) % 0.45/0.67 (step @p326 :rule refl :args (@t68)) % 0.45/0.67 (step @p327 :rule nary_cong :premises (@p326 @p325 @p321) :args (@t279)) % 0.45/0.67 (step @p328 :rule trans :premises (@p327 @p320)) % 0.45/0.67 (step @p329 :rule cong :premises (@p328) :args ((forall @t280 @t279))) % 0.45/0.67 (step @p330 :rule quant-var-elim-eq :args ((= (forall @t285 @t284) @t279))) % 0.45/0.67 (step @p331 :rule aci_norm :args ((= @t286 @t284))) % 0.45/0.67 (step @p332 :rule cong :premises (@p331) :args (@t287)) % 0.45/0.67 (step @p333 :rule trans :premises (@p332 @p330)) % 0.45/0.67 (step @p334 :rule cong :premises (@p333) :args (@t288)) % 0.45/0.67 (step @p335 :rule quant-merge-prenex :args ((= @t288 @t289))) % 0.45/0.67 (step @p336 :rule symm :premises (@p335)) % 0.45/0.67 (step @p337 :rule quant_var_reordering :args ((= (forall @t81 @t286) @t289))) % 0.45/0.67 (step @p338 :rule trans :premises (@p337 @p336 @p334)) % 0.45/0.67 (step @p339 :rule trans :premises (@p338 @p329)) % 0.45/0.67 (step @p340 :rule aci_norm :args ((= (or (or @t68 @t283) @t281) @t286))) % 0.45/0.67 (step @p341 :rule refl :args (@t281)) % 0.45/0.67 (step @p342 :rule refl :args (@t283)) % 0.45/0.67 (step @p343 :rule bool-double-not-elim :args (@t68)) % 0.45/0.67 (step @p344 :rule nary_cong :premises (@p343 @p342) :args ((or (not @t69) @t283))) % 0.45/0.67 (step @p345 :rule bool-and-de-morgan :args (@t69 @t282 true)) % 0.45/0.67 (step @p346 :rule trans :premises (@p345 @p344)) % 0.45/0.67 (step @p347 :rule nary_cong :premises (@p346 @p341) :args ((or (not @t290) @t281))) % 0.45/0.67 (step @p348 :rule trans :premises (@p347 @p340)) % 0.45/0.67 (step @p349 :rule bool-impl-elim :args (@t290 @t281)) % 0.45/0.67 (step @p350 :rule trans :premises (@p349 @p348)) % 0.45/0.67 (step @p351 :rule cong :premises (@p350) :args ((forall @t81 (=> @t290 @t281)))) % 0.45/0.67 (step @p352 :rule trans :premises (@p351 @p339)) % 0.45/0.67 (step @p353 :rule eq-symm :args (@t77 @t39)) % 0.45/0.67 (step @p354 :rule eq-symm :args (@t78 @t39)) % 0.45/0.67 (step @p355 :rule refl :args (@t69)) % 0.45/0.67 (step @p356 :rule nary_cong :premises (@p355 @p354) :args (@t79)) % 0.45/0.67 (step @p357 :rule cong :premises (@p356 @p353) :args (@t80)) % 0.45/0.67 (step @p358 :rule cong :premises (@p357) :args (@t82)) % 0.45/0.67 (step @p359 :rule trans :premises (@p358 @p352)) % 0.45/0.67 (step @p360 :rule eq_resolve :premises (@p49 @p359)) % 0.45/0.67 (step @p361 :rule eq-symm :args (@t269 @t263)) % 0.45/0.67 (step @p362 :rule refl :args (@t274)) % 0.45/0.67 (step @p363 :rule nary_cong :premises (@p362 @p361) :args (@t291)) % 0.45/0.67 (step @p364 :rule refl :args (@t292)) % 0.45/0.67 (step @p365 :rule cong :premises (@p364 @p363) :args ((=> @t292 @t291))) % 0.45/0.67 (assume-push @p458 @t292) % 0.45/0.67 (step @p367 :rule instantiate :premises (@p360) :args ((@list tptp.pv1376 @t261 tptp.s_values7_init tptp.init))) % 0.45/0.67 (step-pop @p459 :rule scope :premises (@p367)) % 0.45/0.67 (step @p368 :rule process_scope :premises (@p459) :args (@t291)) % 0.45/0.67 (step @p370 :rule eq_resolve :premises (@p368 @p365)) % 0.45/0.67 (step @p371 :rule implies_elim :premises (@p370)) % 0.45/0.67 (step @p372 :rule chain_m_resolution :premises (@p371 @p360) :args (@t294 @t260 (@list @t292))) % 0.45/0.67 (step @p373 :rule cnf_or_pos :args (@t294)) % 0.45/0.67 (step @p374 :rule reordering :premises (@p373) :args ((or @t274 @t293 (not @t294)))) % 0.45/0.67 (step @p375 :rule and_elim :premises (@p270) :args (0)) % 0.45/0.67 (step @p376 :rule refl :args (@t295)) % 0.45/0.67 (step @p377 :rule refl :args (@t296)) % 0.45/0.67 (step @p378 :rule bool-double-not-elim :args (@t264)) % 0.45/0.67 (step @p379 :rule refl :args (@t297)) % 0.45/0.67 (step @p380 :rule nary_cong :premises (@p379 @p378 @p377 @p376) :args ((or @t297 (not @t298) @t296 @t295))) % 0.45/0.67 (assume-push @p460 @t209) % 0.45/0.67 (assume-push @p461 @t270) % 0.45/0.67 (assume-push @p462 @t293) % 0.45/0.67 (assume-push @p463 @t298) % 0.45/0.67 (step @p385 :rule evaluate :args ((= false true))) % 0.45/0.67 (step @p386 :rule symm :premises (@p461)) % 0.45/0.67 (step @p387 :rule trans :premises (@p462 @p386 @p375)) % 0.45/0.67 (step @p388 :rule symm :premises (@p387)) % 0.45/0.67 (step @p389 :rule trans :premises (@p375 @p388)) % 0.45/0.67 (step @p390 :rule true_intro :premises (@p389)) % 0.45/0.67 (step @p391 :rule false_intro :premises (@p463)) % 0.45/0.67 (step @p392 :rule symm :premises (@p391)) % 0.45/0.67 (step @p393 :rule trans :premises (@p392 @p390)) % 0.45/0.67 (step @p394 false :rule eq_resolve :premises (@p393 @p385)) % 0.45/0.67 (step-pop @p464 :rule scope :premises (@p394)) % 0.45/0.67 (step-pop @p465 :rule scope :premises (@p464)) % 0.45/0.67 (step-pop @p466 :rule scope :premises (@p465)) % 0.45/0.67 (step-pop @p467 :rule scope :premises (@p466)) % 0.45/0.67 (step @p395 :rule process_scope :premises (@p467) :args (false)) % 0.45/0.67 (assume-push @p468 @t209) % 0.45/0.67 (assume-push @p469 @t298) % 0.45/0.67 (assume-push @p470 @t293) % 0.45/0.67 (assume-push @p471 @t270) % 0.45/0.67 (step @p404 :rule and_intro :premises (@p375 @p471 @p470 @p469)) % 0.45/0.67 (step-pop @p472 :rule scope :premises (@p404)) % 0.45/0.67 (step-pop @p473 :rule scope :premises (@p472)) % 0.45/0.67 (step-pop @p474 :rule scope :premises (@p473)) % 0.45/0.67 (step-pop @p475 :rule scope :premises (@p474)) % 0.45/0.67 (step @p405 :rule process_scope :premises (@p475) :args (@t299)) % 0.45/0.67 (step @p410 :rule implies_elim :premises (@p405)) % 0.45/0.67 (step @p411 :rule resolution :premises (@p410 @p395) :args (true @t299)) % 0.45/0.67 (step @p412 :rule not_and :premises (@p411)) % 0.45/0.67 (step @p413 :rule eq_resolve :premises (@p412 @p380)) % 0.45/0.67 (step @p414 :rule chain_m_resolution :premises (@p413 @p375 @p374 @p372 @p319 @p300 @p296 @p294 @p292 @p291 @p286) :args (@t268 (@list false false false true false false false true false false) (@list @t209 @t293 @t294 @t274 @t273 @t270 @t271 @t264 @t265 @t262))) % 0.45/0.67 (step @p415 :rule refl :args (@t300)) % 0.45/0.67 (step @p416 :rule bool-double-not-elim :args (@t197)) % 0.45/0.67 (step @p417 :rule nary_cong :premises (@p416 @p415) :args ((or (not @t301) @t300))) % 0.45/0.67 (assume-push @p476 @t301) % 0.45/0.67 (step @p419 :rule skolemize :premises (@p476)) % 0.45/0.67 (step-pop @p477 :rule scope :premises (@p419)) % 0.45/0.67 (step @p420 :rule process_scope :premises (@p477) :args (@t300)) % 0.45/0.67 (step @p422 :rule implies_elim :premises (@p420)) % 0.45/0.67 (step @p423 :rule eq_resolve :premises (@p422 @p417)) % 0.45/0.67 (step @p424 :rule chain_m_resolution :premises (@p423 @p414) :args (@t197 @t260 (@list @t268))) % 0.45/0.67 (step @p425 :rule and_elim :premises (@p270) :args (11)) % 0.45/0.67 (step @p426 :rule alpha_equiv :args (@t246 (@list @t238 @t27) (@list @t198 @t54))) % 0.45/0.67 (step @p427 :rule equiv_elim1 :premises (@p426)) % 0.45/0.67 (step @p428 :rule reordering :premises (@p427) :args ((or @t206 (not @t246)))) % 0.45/0.67 (step @p429 :rule chain_m_resolution :premises (@p428 @p425) :args (@t206 @t260 (@list @t246))) % 0.45/0.67 (step @p430 :rule and_elim :premises (@p270) :args (9)) % 0.45/0.67 (step @p431 :rule and_elim :premises (@p270) :args (8)) % 0.45/0.67 (step @p432 :rule and_elim :premises (@p270) :args (7)) % 0.45/0.67 (step @p433 :rule and_elim :premises (@p270) :args (5)) % 0.45/0.67 (step @p434 :rule and_elim :premises (@p270) :args (4)) % 0.45/0.67 (step @p435 :rule and_elim :premises (@p270) :args (3)) % 0.45/0.67 (step @p436 :rule and_elim :premises (@p270) :args (2)) % 0.45/0.67 (step @p437 :rule and_elim :premises (@p270) :args (1)) % 0.45/0.67 (step @p438 :rule not_implies_elim2 :premises (@p269)) % 0.45/0.67 (step @p439 :rule not_and :premises (@p438)) % 0.45/0.67 (step @p440 :rule chain_m_resolution :premises (@p439 @p375 @p437 @p436 @p435 @p434 @p433 @p432 @p431 @p430 @p429 @p424 @p280 @p275) :args ((not @t182) (@list false false false false false false false false false false false false false) (@list @t209 @t208 @t207 @t127 @t126 @t125 @t124 @t123 @t122 @t206 @t197 @t192 @t187))) % 0.45/0.67 (step @p441 :rule cnf_implies_neg1 :args (@t182)) % 0.45/0.67 (step @p442 :rule reordering :premises (@p441) :args ((or @t84 @t182))) % 0.45/0.67 (step @p443 :rule chain_m_resolution :premises (@p442 @p440) :args (@t84 @t302 @t303)) % 0.45/0.67 (step @p444 :rule cnf_implies_neg2 :args (@t182)) % 0.45/0.67 (step @p445 :rule chain_m_resolution :premises (@p444 @p440) :args ((not @t181) @t302 @t303)) % 0.45/0.67 (step @p446 :rule and_elim :premises (@p270) :args (15)) % 0.45/0.67 (step @p447 :rule implies_elim :premises (@p446)) % 0.45/0.67 (step @p448 :rule reordering :premises (@p447) :args ((or @t181 (not @t84)))) % 0.45/0.67 (step @p449 false :rule chain_m_resolution :premises (@p448 @p445 @p443) :args (false (@list true false) (@list @t181 @t84))) % 0.45/0.67 ) % 0.45/0.67 % SZS output end Proof % 0.45/0.67 % cvc5 exiting %------------------------------------------------------------------------------