%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV174+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 : n026.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 09:00:39 AM UTC 2026 % Result : Theorem 0.37s 0.65s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV174+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 % 0.17/0.34 % Computer : n026.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 19:58:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.65 % SZS status Theorem % 0.37/0.65 % SZS output start Proof % 0.37/0.65 ( % 0.37/0.65 (declare-sort $$unsorted 0) % 0.37/0.65 (declare-const tptp.center_init $$unsorted) % 0.37/0.65 (declare-const tptp.pv10 $$unsorted) % 0.37/0.65 (declare-const tptp.init $$unsorted) % 0.37/0.65 (declare-const tptp.def $$unsorted) % 0.37/0.65 (declare-const tptp.use $$unsorted) % 0.37/0.65 (declare-const tptp.true Bool) % 0.37/0.65 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.q_init $$unsorted) % 0.37/0.65 (declare-const tptp.n3 $$unsorted) % 0.37/0.65 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.37/0.65 (declare-const tptp.n0 $$unsorted) % 0.37/0.65 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.n1 $$unsorted) % 0.37/0.65 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.n5 $$unsorted) % 0.37/0.65 (declare-const tptp.n135299 $$unsorted) % 0.37/0.65 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.65 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.65 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.37/0.65 (declare-const tptp.n4 $$unsorted) % 0.37/0.65 (declare-const tptp.n2 $$unsorted) % 0.37/0.65 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.65 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.65 (define @t3 () (= @t2 @t1)) % 0.37/0.65 (define @t4 () (tptp.gt @t1 @t2)) % 0.37/0.65 (define @t5 () (tptp.gt @t2 @t1)) % 0.37/0.65 (define @t6 () (@list @t2 @t1)) % 0.37/0.65 (define @t7 () (@var "Z" $$unsorted)) % 0.37/0.65 (define @t8 () (@list @t2 @t1 @t7)) % 0.37/0.65 (define @t9 () (@list @t2)) % 0.37/0.65 (define @t10 () (tptp.leq @t2 @t1)) % 0.37/0.65 (define @t11 () (tptp.leq @t2 (tptp.pred @t1))) % 0.37/0.65 (define @t12 () (forall @t6 (= @t11 @t4))) % 0.37/0.65 (define @t13 () (tptp.succ @t2)) % 0.37/0.65 (define @t14 () (tptp.succ @t1)) % 0.37/0.65 (define @t15 () (@var "C" $$unsorted)) % 0.37/0.65 (define @t16 () (tptp.uniform_int_rnd @t15 @t2)) % 0.37/0.65 (define @t17 () (tptp.leq tptp.n0 @t2)) % 0.37/0.65 (define @t18 () (@list @t2 @t15)) % 0.37/0.65 (define @t19 () (@var "Val" $$unsorted)) % 0.37/0.65 (define @t20 () (@var "I" $$unsorted)) % 0.37/0.65 (define @t21 () (@var "U" $$unsorted)) % 0.37/0.65 (define @t22 () (@var "L" $$unsorted)) % 0.37/0.65 (define @t23 () (tptp.leq @t20 @t21)) % 0.37/0.65 (define @t24 () (@var "J" $$unsorted)) % 0.37/0.65 (define @t25 () (@var "U2" $$unsorted)) % 0.37/0.65 (define @t26 () (@var "L2" $$unsorted)) % 0.37/0.65 (define @t27 () (@var "U1" $$unsorted)) % 0.37/0.65 (define @t28 () (@var "L1" $$unsorted)) % 0.37/0.65 (define @t29 () (@var "A" $$unsorted)) % 0.37/0.65 (define @t30 () (tptp.trans @t29)) % 0.37/0.65 (define @t31 () (@var "N" $$unsorted)) % 0.37/0.65 (define @t32 () (tptp.leq @t24 @t31)) % 0.37/0.65 (define @t33 () (tptp.leq tptp.n0 @t24)) % 0.37/0.65 (define @t34 () (tptp.leq @t20 @t31)) % 0.37/0.65 (define @t35 () (tptp.leq tptp.n0 @t20)) % 0.37/0.65 (define @t36 () (and @t35 @t34 @t33 @t32)) % 0.37/0.65 (define @t37 () (@list @t20 @t24)) % 0.37/0.65 (define @t38 () (forall @t37 (=> @t36 (= (tptp.a_select3 @t29 @t20 @t24) (tptp.a_select3 @t29 @t24 @t20))))) % 0.37/0.65 (define @t39 () (@list @t29 @t31)) % 0.37/0.65 (define @t40 () (tptp.inv @t29)) % 0.37/0.65 (define @t41 () (@var "VAL" $$unsorted)) % 0.37/0.65 (define @t42 () (@var "K" $$unsorted)) % 0.37/0.65 (define @t43 () (tptp.tptp_update3 @t29 @t42 @t42 @t41)) % 0.37/0.65 (define @t44 () (@var "B" $$unsorted)) % 0.37/0.65 (define @t45 () (tptp.tptp_madd @t29 @t44)) % 0.37/0.65 (define @t46 () (= (tptp.a_select3 @t44 @t20 @t24) (tptp.a_select3 @t44 @t24 @t20))) % 0.37/0.65 (define @t47 () (forall @t37 (=> @t36 @t46))) % 0.37/0.65 (define @t48 () (and @t38 @t47)) % 0.37/0.65 (define @t49 () (@list @t29 @t44 @t31)) % 0.37/0.65 (define @t50 () (tptp.tptp_msub @t29 @t44)) % 0.37/0.65 (define @t51 () (tptp.tptp_mmul @t29 (tptp.tptp_mmul @t44 @t30))) % 0.37/0.65 (define @t52 () (forall @t37 (=> @t36 (= (tptp.a_select3 @t51 @t20 @t24) (tptp.a_select3 @t51 @t24 @t20))))) % 0.37/0.65 (define @t53 () (@var "M" $$unsorted)) % 0.37/0.65 (define @t54 () (and @t35 (tptp.leq @t20 @t53) @t33 (tptp.leq @t24 @t53))) % 0.37/0.65 (define @t55 () (@var "E" $$unsorted)) % 0.37/0.65 (define @t56 () (@var "F" $$unsorted)) % 0.37/0.65 (define @t57 () (@var "D" $$unsorted)) % 0.37/0.65 (define @t58 () (tptp.tptp_madd @t29 (tptp.tptp_mmul @t44 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t15 (tptp.tptp_mmul @t57 (tptp.trans @t15))) (tptp.tptp_mmul @t55 (tptp.tptp_mmul @t56 (tptp.trans @t55)))) (tptp.trans @t44))))) % 0.37/0.65 (define @t59 () (@var "Body" $$unsorted)) % 0.37/0.65 (define @t60 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t59)) % 0.37/0.65 (define @t61 () (@list @t59)) % 0.37/0.65 (define @t62 () (tptp.succ @t13)) % 0.37/0.65 (define @t63 () (tptp.succ @t62)) % 0.37/0.65 (define @t64 () (tptp.succ @t63)) % 0.37/0.65 (define @t65 () (tptp.succ @t64)) % 0.37/0.65 (define @t66 () (tptp.pred @t2)) % 0.37/0.65 (define @t67 () (@var "V" $$unsorted)) % 0.37/0.65 (define @t68 () (tptp.tptp_update3 @t2 @t21 @t67 @t41)) % 0.37/0.65 (define @t69 () (@var "VAL2" $$unsorted)) % 0.37/0.65 (define @t70 () (not (= @t20 @t21))) % 0.37/0.65 (define @t71 () (@var "J0" $$unsorted)) % 0.37/0.65 (define @t72 () (@var "I0" $$unsorted)) % 0.37/0.65 (define @t73 () (tptp.leq @t72 @t21)) % 0.37/0.65 (define @t74 () (tptp.leq tptp.n0 @t72)) % 0.37/0.65 (define @t75 () (tptp.tptp_update2 @t2 @t21 @t41)) % 0.37/0.65 (define @t76 () (tptp.a_select3 tptp.q_init @t57 @t55)) % 0.37/0.65 (define @t77 () (tptp.gt tptp.pv10 @t57)) % 0.37/0.65 (define @t78 () (=> @t77 (= @t76 tptp.init))) % 0.37/0.65 (define @t79 () (tptp.leq @t55 tptp.n4)) % 0.37/0.65 (define @t80 () (tptp.leq @t57 tptp.n135299)) % 0.37/0.65 (define @t81 () (tptp.leq tptp.n0 @t55)) % 0.37/0.65 (define @t82 () (tptp.leq tptp.n0 @t57)) % 0.37/0.65 (define @t83 () (and @t82 @t81 @t80 @t79)) % 0.37/0.65 (define @t84 () (=> @t83 @t78)) % 0.37/0.65 (define @t85 () (@list @t57 @t55)) % 0.37/0.65 (define @t86 () (forall @t85 @t84)) % 0.37/0.65 (define @t87 () (tptp.a_select3 tptp.center_init @t15 tptp.n0)) % 0.37/0.65 (define @t88 () (tptp.leq @t15 tptp.n4)) % 0.37/0.65 (define @t89 () (tptp.leq tptp.n0 @t15)) % 0.37/0.65 (define @t90 () (and @t89 @t88)) % 0.37/0.65 (define @t91 () (=> @t90 (= @t87 tptp.init))) % 0.37/0.65 (define @t92 () (@list @t15)) % 0.37/0.65 (define @t93 () (forall @t92 @t91)) % 0.37/0.65 (define @t94 () (tptp.a_select3 tptp.q_init @t29 @t44)) % 0.37/0.65 (define @t95 () (tptp.leq @t44 tptp.n4)) % 0.37/0.65 (define @t96 () (tptp.leq tptp.n0 @t44)) % 0.37/0.65 (define @t97 () (and @t96 @t95)) % 0.37/0.65 (define @t98 () (=> @t97 (= @t94 tptp.init))) % 0.37/0.65 (define @t99 () (@list @t44)) % 0.37/0.65 (define @t100 () (forall @t99 @t98)) % 0.37/0.65 (define @t101 () (tptp.pred tptp.pv10)) % 0.37/0.65 (define @t102 () (tptp.leq @t29 @t101)) % 0.37/0.65 (define @t103 () (tptp.leq tptp.n0 @t29)) % 0.37/0.65 (define @t104 () (and @t103 @t102)) % 0.37/0.65 (define @t105 () (=> @t104 @t100)) % 0.37/0.65 (define @t106 () (@list @t29)) % 0.37/0.65 (define @t107 () (forall @t106 @t105)) % 0.37/0.65 (define @t108 () (tptp.leq tptp.pv10 tptp.n135299)) % 0.37/0.65 (define @t109 () (tptp.leq tptp.n0 tptp.pv10)) % 0.37/0.65 (define @t110 () (and @t109 @t108 @t107 @t93)) % 0.37/0.65 (define @t111 () (=> @t110 @t86)) % 0.37/0.65 (define @t112 () (not @t111)) % 0.37/0.65 (define @t113 () (= @t2 tptp.n4)) % 0.37/0.65 (define @t114 () (= @t2 tptp.n3)) % 0.37/0.65 (define @t115 () (= @t2 tptp.n2)) % 0.37/0.65 (define @t116 () (= @t2 tptp.n1)) % 0.37/0.65 (define @t117 () (= @t2 tptp.n0)) % 0.37/0.65 (define @t118 () (tptp.succ tptp.n0)) % 0.37/0.65 (define @t119 () (tptp.succ @t118)) % 0.37/0.65 (define @t120 () (tptp.succ @t119)) % 0.37/0.65 (define @t121 () (tptp.succ @t120)) % 0.37/0.65 (define @t122 () (= tptp.init @t76)) % 0.37/0.65 (define @t123 () (not @t77)) % 0.37/0.65 (define @t124 () (not @t79)) % 0.37/0.65 (define @t125 () (not @t80)) % 0.37/0.65 (define @t126 () (not @t81)) % 0.37/0.65 (define @t127 () (not @t82)) % 0.37/0.65 (define @t128 () (or @t127 @t126 @t125 @t124 @t123 @t122)) % 0.37/0.65 (define @t129 () (or @t127 @t126 @t125 @t124)) % 0.37/0.65 (define @t130 () (=> @t77 @t122)) % 0.37/0.65 (define @t131 () (= tptp.init @t87)) % 0.37/0.65 (define @t132 () (not @t88)) % 0.37/0.65 (define @t133 () (not @t89)) % 0.37/0.65 (define @t134 () (@var "BOUND_VARIABLE_8395" $$unsorted)) % 0.37/0.65 (define @t135 () (= tptp.init (tptp.a_select3 tptp.q_init @t29 @t134))) % 0.37/0.65 (define @t136 () (not (tptp.leq @t134 tptp.n4))) % 0.37/0.65 (define @t137 () (not (tptp.leq tptp.n0 @t134))) % 0.37/0.65 (define @t138 () (not @t102)) % 0.37/0.65 (define @t139 () (not @t103)) % 0.37/0.65 (define @t140 () (or @t137 @t136 @t135)) % 0.37/0.65 (define @t141 () (or @t139 @t138 @t140)) % 0.37/0.65 (define @t142 () (forall (@list @t29 @t134) @t141)) % 0.37/0.65 (define @t143 () (@list @t134)) % 0.37/0.65 (define @t144 () (forall @t143 @t141)) % 0.37/0.65 (define @t145 () (forall @t143 @t140)) % 0.37/0.65 (define @t146 () (or @t139 @t138 @t145)) % 0.37/0.65 (define @t147 () (= tptp.init @t94)) % 0.37/0.65 (define @t148 () (not @t95)) % 0.37/0.65 (define @t149 () (not @t96)) % 0.37/0.65 (define @t150 () (or @t149 @t148 @t147)) % 0.37/0.65 (define @t151 () (forall @t99 @t150)) % 0.37/0.65 (define @t152 () (or @t139 @t138 @t151)) % 0.37/0.65 (define @t153 () (forall @t85 @t128)) % 0.37/0.65 (define @t154 () (@quantifiers_skolemize @t153 0)) % 0.37/0.65 (define @t155 () (tptp.leq tptp.n0 @t154)) % 0.37/0.65 (define @t156 () (@quantifiers_skolemize @t153 1)) % 0.37/0.65 (define @t157 () (= tptp.init (tptp.a_select3 tptp.q_init @t154 @t156))) % 0.37/0.65 (define @t158 () (tptp.gt tptp.pv10 @t154)) % 0.37/0.65 (define @t159 () (not @t158)) % 0.37/0.65 (define @t160 () (tptp.leq @t156 tptp.n4)) % 0.37/0.65 (define @t161 () (not @t160)) % 0.37/0.65 (define @t162 () (tptp.leq tptp.n0 @t156)) % 0.37/0.65 (define @t163 () (not @t162)) % 0.37/0.65 (define @t164 () (not @t155)) % 0.37/0.65 (define @t165 () (or @t164 @t163 (not (tptp.leq @t154 tptp.n135299)) @t161 @t159 @t157)) % 0.37/0.65 (define @t166 () (@list true)) % 0.37/0.65 (define @t167 () (@list @t165)) % 0.37/0.65 (define @t168 () (tptp.leq @t154 @t101)) % 0.37/0.65 (define @t169 () (= @t158 @t168)) % 0.37/0.65 (define @t170 () (not @t168)) % 0.37/0.65 (define @t171 () (or @t164 @t170 @t163 @t161 @t157)) % 0.37/0.65 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.37/0.65 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.37/0.65 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.37/0.65 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.37/0.65 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.37/0.65 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.37/0.65 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.37/0.65 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.37/0.65 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.37/0.65 (assume @p10 @t12) % 0.37/0.65 (assume @p11 (forall @t9 (tptp.gt @t13 @t2))) % 0.37/0.65 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t14)))) % 0.37/0.65 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t14 @t2)))) % 0.37/0.65 (assume @p14 (forall @t18 (=> @t17 (tptp.leq @t16 @t2)))) % 0.37/0.65 (assume @p15 (forall @t18 (=> @t17 (tptp.leq tptp.n0 @t16)))) % 0.37/0.65 (assume @p16 (forall (@list @t20 @t22 @t21 @t19) (=> (and (tptp.leq @t22 @t20) @t23) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t22 @t21) @t19) @t20) @t19)))) % 0.37/0.65 (assume @p17 (forall (@list @t20 @t28 @t27 @t24 @t26 @t25 @t19) (=> (and (tptp.leq @t28 @t20) (tptp.leq @t20 @t27) (tptp.leq @t26 @t24) (tptp.leq @t24 @t25)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t28 @t27) (tptp.dim @t26 @t25) @t19) @t20 @t24) @t19)))) % 0.37/0.65 (assume @p18 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (= (tptp.a_select3 @t30 @t20 @t24) (tptp.a_select3 @t30 @t24 @t20))))))) % 0.37/0.65 (assume @p19 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (= (tptp.a_select3 @t40 @t20 @t24) (tptp.a_select3 @t40 @t24 @t20))))))) % 0.37/0.65 (assume @p20 (forall @t39 (=> @t38 (forall (@list @t20 @t24 @t42 @t41) (=> (and @t35 @t34 @t33 @t32 (tptp.leq tptp.n0 @t42) (tptp.leq @t42 @t31)) (= (tptp.a_select3 @t43 @t20 @t24) (tptp.a_select3 @t43 @t24 @t20))))))) % 0.37/0.65 (assume @p21 (forall @t49 (=> @t48 (forall @t37 (=> @t36 (= (tptp.a_select3 @t45 @t20 @t24) (tptp.a_select3 @t45 @t24 @t20))))))) % 0.37/0.65 (assume @p22 (forall @t49 (=> @t48 (forall @t37 (=> @t36 (= (tptp.a_select3 @t50 @t20 @t24) (tptp.a_select3 @t50 @t24 @t20))))))) % 0.37/0.65 (assume @p23 (forall @t49 (=> @t47 @t52))) % 0.37/0.65 (assume @p24 (forall (@list @t29 @t44 @t31 @t53) (=> (forall @t37 (=> @t54 @t46)) @t52))) % 0.37/0.65 (assume @p25 (forall (@list @t29 @t44 @t15 @t57 @t55 @t56 @t31 @t53) (=> (and (forall @t37 (=> @t54 (= (tptp.a_select3 @t57 @t20 @t24) (tptp.a_select3 @t57 @t24 @t20)))) @t38 (forall @t37 (=> @t36 (= (tptp.a_select3 @t56 @t20 @t24) (tptp.a_select3 @t56 @t24 @t20))))) (forall @t37 (=> @t36 (= (tptp.a_select3 @t58 @t20 @t24) (tptp.a_select3 @t58 @t24 @t20))))))) % 0.37/0.65 (assume @p26 (forall @t61 (= @t60 tptp.n0))) % 0.37/0.65 (assume @p27 (forall @t61 (= tptp.tptp_float_0_0 @t60))) % 0.37/0.65 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.37/0.65 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t13))) % 0.37/0.65 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t13))) % 0.37/0.65 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t62))) % 0.37/0.65 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t62))) % 0.37/0.65 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t63))) % 0.37/0.65 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t63))) % 0.37/0.65 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t64))) % 0.37/0.65 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t64))) % 0.37/0.65 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t65))) % 0.37/0.65 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t65))) % 0.37/0.65 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t66))) % 0.37/0.65 (assume @p40 (forall @t9 (= (tptp.pred @t13) @t2))) % 0.37/0.65 (assume @p41 (forall @t9 (= (tptp.succ @t66) @t2))) % 0.37/0.65 (assume @p42 (forall @t6 (= (tptp.leq @t13 @t14) @t10))) % 0.37/0.65 (assume @p43 (forall @t6 (=> (tptp.leq @t13 @t1) @t4))) % 0.37/0.65 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.37/0.65 (assume @p45 (forall (@list @t2 @t21 @t67 @t41) (= (tptp.a_select3 @t68 @t21 @t67) @t41))) % 0.37/0.65 (assume @p46 (forall (@list @t20 @t24 @t21 @t67 @t2 @t41 @t69) (=> (and @t70 (= @t24 @t67) (= (tptp.a_select3 @t2 @t21 @t67) @t41)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t20 @t24 @t69) @t21 @t67) @t41)))) % 0.37/0.65 (assume @p47 (forall (@list @t20 @t24 @t21 @t67 @t2 @t41) (=> (and (forall (@list @t72 @t71) (=> (and @t74 (tptp.leq tptp.n0 @t71) @t73 (tptp.leq @t71 @t67)) (= (tptp.a_select3 @t2 @t72 @t71) @t41))) @t35 @t23 @t33 (tptp.leq @t24 @t67)) (= (tptp.a_select3 @t68 @t20 @t24) @t41)))) % 0.37/0.65 (assume @p48 (forall (@list @t2 @t21 @t41) (= (tptp.a_select2 @t75 @t21) @t41))) % 0.37/0.65 (assume @p49 (forall (@list @t20 @t21 @t2 @t41 @t69) (=> (and @t70 (= (tptp.a_select2 @t2 @t21) @t41)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t20 @t69) @t21) @t41)))) % 0.37/0.65 (assume @p50 (forall (@list @t20 @t21 @t2 @t41) (=> (and (forall (@list @t72) (=> (and @t74 @t73) (= (tptp.a_select2 @t2 @t72) @t41))) @t35 @t23) (= (tptp.a_select2 @t75 @t20) @t41)))) % 0.37/0.65 (assume @p51 tptp.true) % 0.37/0.65 (assume @p52 (not (= tptp.def tptp.use))) % 0.37/0.65 (assume @p53 @t112) % 0.37/0.65 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.37/0.65 (assume @p55 (tptp.gt tptp.n135299 tptp.n4)) % 0.37/0.65 (assume @p56 (tptp.gt tptp.n135299 tptp.n5)) % 0.37/0.65 (assume @p57 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.37/0.65 (assume @p58 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.37/0.65 (assume @p59 (tptp.gt tptp.n135299 tptp.tptp_minus_1)) % 0.37/0.65 (assume @p60 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.37/0.65 (assume @p61 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.37/0.65 (assume @p62 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.37/0.65 (assume @p63 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.37/0.65 (assume @p64 (tptp.gt tptp.n4 tptp.n0)) % 0.37/0.65 (assume @p65 (tptp.gt tptp.n5 tptp.n0)) % 0.37/0.65 (assume @p66 (tptp.gt tptp.n135299 tptp.n0)) % 0.37/0.65 (assume @p67 (tptp.gt tptp.n1 tptp.n0)) % 0.37/0.65 (assume @p68 (tptp.gt tptp.n2 tptp.n0)) % 0.37/0.65 (assume @p69 (tptp.gt tptp.n3 tptp.n0)) % 0.37/0.65 (assume @p70 (tptp.gt tptp.n4 tptp.n1)) % 0.37/0.65 (assume @p71 (tptp.gt tptp.n5 tptp.n1)) % 0.37/0.65 (assume @p72 (tptp.gt tptp.n135299 tptp.n1)) % 0.37/0.65 (assume @p73 (tptp.gt tptp.n2 tptp.n1)) % 0.37/0.65 (assume @p74 (tptp.gt tptp.n3 tptp.n1)) % 0.37/0.65 (assume @p75 (tptp.gt tptp.n4 tptp.n2)) % 0.37/0.65 (assume @p76 (tptp.gt tptp.n5 tptp.n2)) % 0.37/0.65 (assume @p77 (tptp.gt tptp.n135299 tptp.n2)) % 0.37/0.65 (assume @p78 (tptp.gt tptp.n3 tptp.n2)) % 0.37/0.65 (assume @p79 (tptp.gt tptp.n4 tptp.n3)) % 0.37/0.65 (assume @p80 (tptp.gt tptp.n5 tptp.n3)) % 0.37/0.65 (assume @p81 (tptp.gt tptp.n135299 tptp.n3)) % 0.37/0.65 (assume @p82 (forall @t9 (=> (and @t17 (tptp.leq @t2 tptp.n4)) (or @t117 @t116 @t115 @t114 @t113)))) % 0.37/0.65 (assume @p83 (forall @t9 (=> (and @t17 (tptp.leq @t2 tptp.n5)) (or @t117 @t116 @t115 @t114 @t113 (= @t2 tptp.n5))))) % 0.37/0.65 (assume @p84 (forall @t9 (=> (and @t17 (tptp.leq @t2 tptp.n0)) @t117))) % 0.37/0.65 (assume @p85 (forall @t9 (=> (and @t17 (tptp.leq @t2 tptp.n1)) (or @t117 @t116)))) % 0.37/0.65 (assume @p86 (forall @t9 (=> (and @t17 (tptp.leq @t2 tptp.n2)) (or @t117 @t116 @t115)))) % 0.37/0.65 (assume @p87 (forall @t9 (=> (and @t17 (tptp.leq @t2 tptp.n3)) (or @t117 @t116 @t115 @t114)))) % 0.37/0.65 (assume @p88 (= @t121 tptp.n4)) % 0.37/0.65 (assume @p89 (= (tptp.succ @t121) tptp.n5)) % 0.37/0.65 (assume @p90 (= @t118 tptp.n1)) % 0.37/0.65 (assume @p91 (= @t119 tptp.n2)) % 0.37/0.65 (assume @p92 (= @t120 tptp.n3)) % 0.37/0.65 (assume @p93 true) % 0.37/0.65 (step @p94 :rule aci_norm :args ((= (or @t129 (or @t123 @t122)) @t128))) % 0.37/0.65 (step @p95 :rule bool-impl-elim :args (@t77 @t122)) % 0.37/0.65 (step @p96 :rule aci_norm :args ((= (or @t127 (or @t126 (or @t125 @t124))) @t129))) % 0.37/0.65 (step @p97 :rule bool-and-de-morgan :args (@t80 @t79 true)) % 0.37/0.65 (step @p98 :rule refl :args (@t126)) % 0.37/0.65 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or @t126 (not (and @t80 @t79))))) % 0.37/0.65 (step @p100 :rule bool-and-de-morgan :args (@t81 @t80 (and @t79))) % 0.37/0.65 (step @p101 :rule trans :premises (@p100 @p99)) % 0.37/0.65 (step @p102 :rule refl :args (@t127)) % 0.37/0.65 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or @t127 (not (and @t81 @t80 @t79))))) % 0.37/0.65 (step @p104 :rule bool-and-de-morgan :args (@t82 @t81 (and @t80 @t79))) % 0.37/0.65 (step @p105 :rule trans :premises (@p104 @p103)) % 0.37/0.65 (step @p106 :rule trans :premises (@p105 @p96)) % 0.37/0.65 (step @p107 :rule nary_cong :premises (@p106 @p95) :args ((or (not @t83) @t130))) % 0.37/0.65 (step @p108 :rule trans :premises (@p107 @p94)) % 0.37/0.65 (step @p109 :rule bool-impl-elim :args (@t83 @t130)) % 0.37/0.65 (step @p110 :rule trans :premises (@p109 @p108)) % 0.37/0.65 (step @p111 :rule cong :premises (@p110) :args ((forall @t85 (=> @t83 @t130)))) % 0.37/0.65 (step @p112 :rule eq-symm :args (@t76 tptp.init)) % 0.37/0.65 (step @p113 :rule refl :args (@t77)) % 0.37/0.65 (step @p114 :rule cong :premises (@p113 @p112) :args (@t78)) % 0.37/0.65 (step @p115 :rule refl :args (@t83)) % 0.37/0.65 (step @p116 :rule cong :premises (@p115 @p114) :args (@t84)) % 0.37/0.65 (step @p117 :rule cong :premises (@p116) :args (@t86)) % 0.37/0.65 (step @p118 :rule trans :premises (@p117 @p111)) % 0.37/0.65 (step @p119 :rule aci_norm :args ((= (or (or @t133 @t132) @t131) (or @t133 @t132 @t131)))) % 0.37/0.65 (step @p120 :rule refl :args (@t131)) % 0.37/0.65 (step @p121 :rule bool-and-de-morgan :args (@t89 @t88 true)) % 0.37/0.65 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or (not @t90) @t131))) % 0.37/0.65 (step @p123 :rule trans :premises (@p122 @p119)) % 0.37/0.65 (step @p124 :rule bool-impl-elim :args (@t90 @t131)) % 0.37/0.65 (step @p125 :rule trans :premises (@p124 @p123)) % 0.37/0.65 (step @p126 :rule cong :premises (@p125) :args ((forall @t92 (=> @t90 @t131)))) % 0.37/0.65 (step @p127 :rule eq-symm :args (@t87 tptp.init)) % 0.37/0.65 (step @p128 :rule refl :args (@t90)) % 0.37/0.65 (step @p129 :rule cong :premises (@p128 @p127) :args (@t91)) % 0.37/0.65 (step @p130 :rule cong :premises (@p129) :args (@t93)) % 0.37/0.65 (step @p131 :rule trans :premises (@p130 @p126)) % 0.37/0.65 (step @p132 :rule aci_norm :args ((= @t141 (or @t139 @t138 @t137 @t136 @t135)))) % 0.37/0.65 (step @p133 :rule cong :premises (@p132) :args (@t142)) % 0.37/0.65 (step @p134 :rule quant-merge-prenex :args ((= (forall @t106 @t144) @t142))) % 0.37/0.65 (step @p135 :rule alpha_equiv :args (@t145 (@list @t134) (@list @t44))) % 0.37/0.65 (step @p136 :rule refl :args (@t138)) % 0.37/0.65 (step @p137 :rule refl :args (@t139)) % 0.37/0.65 (step @p138 :rule nary_cong :premises (@p137 @p136 @p135) :args (@t146)) % 0.37/0.65 (step @p139 :rule quant-miniscope-or :args ((= @t144 @t146))) % 0.37/0.65 (step @p140 :rule trans :premises (@p139 @p138)) % 0.37/0.65 (step @p141 :rule symm :premises (@p140)) % 0.37/0.65 (step @p142 :rule cong :premises (@p141) :args ((forall @t106 @t152))) % 0.37/0.65 (step @p143 :rule trans :premises (@p142 @p134)) % 0.37/0.65 (step @p144 :rule trans :premises (@p143 @p133)) % 0.37/0.65 (step @p145 :rule aci_norm :args ((= (or (or @t139 @t138) @t151) @t152))) % 0.37/0.65 (step @p146 :rule refl :args (@t151)) % 0.37/0.65 (step @p147 :rule bool-and-de-morgan :args (@t103 @t102 true)) % 0.37/0.65 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or (not @t104) @t151))) % 0.37/0.65 (step @p149 :rule trans :premises (@p148 @p145)) % 0.37/0.65 (step @p150 :rule bool-impl-elim :args (@t104 @t151)) % 0.37/0.65 (step @p151 :rule trans :premises (@p150 @p149)) % 0.37/0.65 (step @p152 :rule cong :premises (@p151) :args ((forall @t106 (=> @t104 @t151)))) % 0.37/0.65 (step @p153 :rule trans :premises (@p152 @p144)) % 0.37/0.65 (step @p154 :rule aci_norm :args ((= (or (or @t149 @t148) @t147) @t150))) % 0.37/0.65 (step @p155 :rule refl :args (@t147)) % 0.37/0.65 (step @p156 :rule bool-and-de-morgan :args (@t96 @t95 true)) % 0.37/0.65 (step @p157 :rule nary_cong :premises (@p156 @p155) :args ((or (not @t97) @t147))) % 0.37/0.65 (step @p158 :rule trans :premises (@p157 @p154)) % 0.37/0.65 (step @p159 :rule bool-impl-elim :args (@t97 @t147)) % 0.37/0.65 (step @p160 :rule trans :premises (@p159 @p158)) % 0.37/0.65 (step @p161 :rule cong :premises (@p160) :args ((forall @t99 (=> @t97 @t147)))) % 0.37/0.65 (step @p162 :rule eq-symm :args (@t94 tptp.init)) % 0.37/0.65 (step @p163 :rule refl :args (@t97)) % 0.37/0.65 (step @p164 :rule cong :premises (@p163 @p162) :args (@t98)) % 0.37/0.65 (step @p165 :rule cong :premises (@p164) :args (@t100)) % 0.37/0.65 (step @p166 :rule trans :premises (@p165 @p161)) % 0.37/0.65 (step @p167 :rule refl :args (@t104)) % 0.37/0.65 (step @p168 :rule cong :premises (@p167 @p166) :args (@t105)) % 0.37/0.65 (step @p169 :rule cong :premises (@p168) :args (@t107)) % 0.37/0.65 (step @p170 :rule trans :premises (@p169 @p153)) % 0.37/0.65 (step @p171 :rule refl :args (@t108)) % 0.37/0.65 (step @p172 :rule refl :args (@t109)) % 0.37/0.65 (step @p173 :rule nary_cong :premises (@p172 @p171 @p170 @p131) :args (@t110)) % 0.37/0.65 (step @p174 :rule cong :premises (@p173 @p118) :args (@t111)) % 0.37/0.65 (step @p175 :rule cong :premises (@p174) :args (@t112)) % 0.37/0.65 (step @p176 :rule eq_resolve :premises (@p53 @p175)) % 0.37/0.65 (step @p177 :rule not_implies_elim2 :premises (@p176)) % 0.37/0.65 (step @p178 :rule skolemize :premises (@p177)) % 0.37/0.65 (step @p179 :rule bool-double-not-elim :args (@t155)) % 0.37/0.65 (step @p180 :rule refl :args (@t165)) % 0.37/0.65 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or @t165 (not @t164)))) % 0.37/0.65 (step @p182 :rule cnf_or_neg :args (@t165 0)) % 0.37/0.65 (step @p183 :rule eq_resolve :premises (@p182 @p181)) % 0.37/0.65 (step @p184 :rule reordering :premises (@p183) :args ((or @t155 @t165))) % 0.37/0.65 (step @p185 :rule chain_m_resolution :premises (@p184 @p178) :args (@t155 @t166 @t167)) % 0.37/0.65 (step @p186 :rule bool-double-not-elim :args (@t162)) % 0.37/0.65 (step @p187 :rule nary_cong :premises (@p180 @p186) :args ((or @t165 (not @t163)))) % 0.37/0.65 (step @p188 :rule cnf_or_neg :args (@t165 1)) % 0.37/0.65 (step @p189 :rule eq_resolve :premises (@p188 @p187)) % 0.37/0.65 (step @p190 :rule reordering :premises (@p189) :args ((or @t162 @t165))) % 0.37/0.65 (step @p191 :rule chain_m_resolution :premises (@p190 @p178) :args (@t162 @t166 @t167)) % 0.37/0.65 (step @p192 :rule bool-double-not-elim :args (@t160)) % 0.37/0.65 (step @p193 :rule nary_cong :premises (@p180 @p192) :args ((or @t165 (not @t161)))) % 0.37/0.65 (step @p194 :rule cnf_or_neg :args (@t165 3)) % 0.37/0.65 (step @p195 :rule eq_resolve :premises (@p194 @p193)) % 0.37/0.65 (step @p196 :rule reordering :premises (@p195) :args ((or @t160 @t165))) % 0.37/0.65 (step @p197 :rule chain_m_resolution :premises (@p196 @p178) :args (@t160 @t166 @t167)) % 0.37/0.65 (step @p198 :rule cnf_or_neg :args (@t165 5)) % 0.37/0.65 (step @p199 :rule chain_m_resolution :premises (@p198 @p178) :args ((not @t157) @t166 @t167)) % 0.37/0.65 (step @p200 :rule not_implies_elim1 :premises (@p176)) % 0.37/0.65 (step @p201 :rule and_elim :premises (@p200) :args (2)) % 0.37/0.65 (step @p202 :rule instantiate :premises (@p201) :args ((@list @t154 @t156))) % 0.37/0.65 (step @p203 :rule eq-symm :args (@t11 @t4)) % 0.37/0.65 (step @p204 :rule cong :premises (@p203) :args (@t12)) % 0.37/0.65 (step @p205 :rule eq_resolve :premises (@p10 @p204)) % 0.37/0.65 (step @p206 :rule instantiate :premises (@p205) :args ((@list @t154 tptp.pv10))) % 0.37/0.65 (step @p207 :rule bool-double-not-elim :args (@t158)) % 0.37/0.65 (step @p208 :rule nary_cong :premises (@p180 @p207) :args ((or @t165 (not @t159)))) % 0.37/0.65 (step @p209 :rule cnf_or_neg :args (@t165 4)) % 0.37/0.65 (step @p210 :rule eq_resolve :premises (@p209 @p208)) % 0.37/0.65 (step @p211 :rule reordering :premises (@p210) :args ((or @t158 @t165))) % 0.37/0.65 (step @p212 :rule chain_m_resolution :premises (@p211 @p178) :args (@t158 @t166 @t167)) % 0.37/0.65 (step @p213 :rule cnf_equiv_pos1 :args (@t169)) % 0.37/0.65 (step @p214 :rule reordering :premises (@p213) :args ((or @t159 @t168 (not @t169)))) % 0.37/0.65 (step @p215 :rule chain_m_resolution :premises (@p214 @p212 @p206) :args (@t168 (@list false false) (@list @t158 @t169))) % 0.37/0.65 (step @p216 :rule cnf_or_pos :args (@t171)) % 0.37/0.65 (step @p217 :rule reordering :premises (@p216) :args ((or @t164 @t163 @t161 @t157 @t170 (not @t171)))) % 0.37/0.65 (step @p218 false :rule chain_m_resolution :premises (@p217 @p215 @p202 @p199 @p197 @p191 @p185) :args (false (@list false false true false false false) (@list @t168 @t171 @t157 @t160 @t162 @t155))) % 0.37/0.65 ) % 0.37/0.65 % SZS output end Proof % 0.37/0.65 % cvc5 exiting %------------------------------------------------------------------------------