%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV065+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 : n006.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 09:00:26 AM UTC 2026 % Result : Theorem 0.44s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV065+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 : n006.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 19:53:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.63 % SZS status Theorem % 0.44/0.63 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-sort $$unsorted 0) % 0.44/0.63 (declare-const tptp.pv10 $$unsorted) % 0.44/0.63 (declare-const tptp.def $$unsorted) % 0.44/0.63 (declare-const tptp.use $$unsorted) % 0.44/0.63 (declare-const tptp.true Bool) % 0.44/0.63 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.n135300 $$unsorted) % 0.44/0.63 (declare-const tptp.n3 $$unsorted) % 0.44/0.63 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.44/0.63 (declare-const tptp.n0 $$unsorted) % 0.44/0.63 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.n1 $$unsorted) % 0.44/0.63 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.n5 $$unsorted) % 0.44/0.63 (declare-const tptp.pv53 $$unsorted) % 0.44/0.63 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.44/0.63 (declare-const tptp.n4 $$unsorted) % 0.44/0.63 (declare-const tptp.n2 $$unsorted) % 0.44/0.63 (define @t1 () (@var "Y" $$unsorted)) % 0.44/0.63 (define @t2 () (@var "X" $$unsorted)) % 0.44/0.63 (define @t3 () (= @t2 @t1)) % 0.44/0.63 (define @t4 () (tptp.gt @t1 @t2)) % 0.44/0.63 (define @t5 () (tptp.gt @t2 @t1)) % 0.44/0.63 (define @t6 () (@list @t2 @t1)) % 0.44/0.63 (define @t7 () (@var "Z" $$unsorted)) % 0.44/0.63 (define @t8 () (@list @t2 @t1 @t7)) % 0.44/0.63 (define @t9 () (@list @t2)) % 0.44/0.63 (define @t10 () (forall @t9 (tptp.leq @t2 @t2))) % 0.44/0.63 (define @t11 () (tptp.leq @t2 @t1)) % 0.44/0.63 (define @t12 () (tptp.succ @t2)) % 0.44/0.63 (define @t13 () (tptp.succ @t1)) % 0.44/0.63 (define @t14 () (@var "C" $$unsorted)) % 0.44/0.63 (define @t15 () (tptp.uniform_int_rnd @t14 @t2)) % 0.44/0.63 (define @t16 () (tptp.leq tptp.n0 @t2)) % 0.44/0.63 (define @t17 () (@list @t2 @t14)) % 0.44/0.63 (define @t18 () (@var "Val" $$unsorted)) % 0.44/0.63 (define @t19 () (@var "I" $$unsorted)) % 0.44/0.63 (define @t20 () (@var "U" $$unsorted)) % 0.44/0.63 (define @t21 () (@var "L" $$unsorted)) % 0.44/0.63 (define @t22 () (tptp.leq @t19 @t20)) % 0.44/0.63 (define @t23 () (@var "J" $$unsorted)) % 0.44/0.63 (define @t24 () (@var "U2" $$unsorted)) % 0.44/0.63 (define @t25 () (@var "L2" $$unsorted)) % 0.44/0.63 (define @t26 () (@var "U1" $$unsorted)) % 0.44/0.63 (define @t27 () (@var "L1" $$unsorted)) % 0.44/0.63 (define @t28 () (@var "A" $$unsorted)) % 0.44/0.63 (define @t29 () (tptp.trans @t28)) % 0.44/0.63 (define @t30 () (@var "N" $$unsorted)) % 0.44/0.63 (define @t31 () (tptp.leq @t23 @t30)) % 0.44/0.63 (define @t32 () (tptp.leq tptp.n0 @t23)) % 0.44/0.63 (define @t33 () (tptp.leq @t19 @t30)) % 0.44/0.63 (define @t34 () (tptp.leq tptp.n0 @t19)) % 0.44/0.63 (define @t35 () (and @t34 @t33 @t32 @t31)) % 0.44/0.63 (define @t36 () (@list @t19 @t23)) % 0.44/0.63 (define @t37 () (forall @t36 (=> @t35 (= (tptp.a_select3 @t28 @t19 @t23) (tptp.a_select3 @t28 @t23 @t19))))) % 0.44/0.63 (define @t38 () (@list @t28 @t30)) % 0.44/0.63 (define @t39 () (tptp.inv @t28)) % 0.44/0.63 (define @t40 () (@var "VAL" $$unsorted)) % 0.44/0.63 (define @t41 () (@var "K" $$unsorted)) % 0.44/0.63 (define @t42 () (tptp.tptp_update3 @t28 @t41 @t41 @t40)) % 0.44/0.63 (define @t43 () (@var "B" $$unsorted)) % 0.44/0.63 (define @t44 () (tptp.tptp_madd @t28 @t43)) % 0.44/0.63 (define @t45 () (= (tptp.a_select3 @t43 @t19 @t23) (tptp.a_select3 @t43 @t23 @t19))) % 0.44/0.63 (define @t46 () (forall @t36 (=> @t35 @t45))) % 0.44/0.63 (define @t47 () (and @t37 @t46)) % 0.44/0.63 (define @t48 () (@list @t28 @t43 @t30)) % 0.44/0.63 (define @t49 () (tptp.tptp_msub @t28 @t43)) % 0.44/0.63 (define @t50 () (tptp.tptp_mmul @t28 (tptp.tptp_mmul @t43 @t29))) % 0.44/0.63 (define @t51 () (forall @t36 (=> @t35 (= (tptp.a_select3 @t50 @t19 @t23) (tptp.a_select3 @t50 @t23 @t19))))) % 0.44/0.63 (define @t52 () (@var "M" $$unsorted)) % 0.44/0.63 (define @t53 () (and @t34 (tptp.leq @t19 @t52) @t32 (tptp.leq @t23 @t52))) % 0.44/0.63 (define @t54 () (@var "E" $$unsorted)) % 0.44/0.63 (define @t55 () (@var "F" $$unsorted)) % 0.44/0.63 (define @t56 () (@var "D" $$unsorted)) % 0.44/0.63 (define @t57 () (tptp.tptp_madd @t28 (tptp.tptp_mmul @t43 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t14 (tptp.tptp_mmul @t56 (tptp.trans @t14))) (tptp.tptp_mmul @t54 (tptp.tptp_mmul @t55 (tptp.trans @t54)))) (tptp.trans @t43))))) % 0.44/0.63 (define @t58 () (@var "Body" $$unsorted)) % 0.44/0.63 (define @t59 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t58)) % 0.44/0.63 (define @t60 () (@list @t58)) % 0.44/0.63 (define @t61 () (tptp.succ @t12)) % 0.44/0.63 (define @t62 () (tptp.succ @t61)) % 0.44/0.63 (define @t63 () (tptp.succ @t62)) % 0.44/0.63 (define @t64 () (tptp.succ @t63)) % 0.44/0.63 (define @t65 () (tptp.pred @t2)) % 0.44/0.63 (define @t66 () (@var "V" $$unsorted)) % 0.44/0.63 (define @t67 () (tptp.tptp_update3 @t2 @t20 @t66 @t40)) % 0.44/0.63 (define @t68 () (@var "VAL2" $$unsorted)) % 0.44/0.63 (define @t69 () (not (= @t19 @t20))) % 0.44/0.63 (define @t70 () (@var "J0" $$unsorted)) % 0.44/0.63 (define @t71 () (@var "I0" $$unsorted)) % 0.44/0.63 (define @t72 () (tptp.leq @t71 @t20)) % 0.44/0.63 (define @t73 () (tptp.leq tptp.n0 @t71)) % 0.44/0.63 (define @t74 () (tptp.tptp_update2 @t2 @t20 @t40)) % 0.44/0.63 (define @t75 () (tptp.leq tptp.pv53 (tptp.minus tptp.n5 tptp.n1))) % 0.44/0.63 (define @t76 () (tptp.leq tptp.pv10 (tptp.minus tptp.n135300 tptp.n1))) % 0.44/0.63 (define @t77 () (tptp.leq tptp.n0 tptp.pv53)) % 0.44/0.63 (define @t78 () (tptp.leq tptp.n0 tptp.pv10)) % 0.44/0.63 (define @t79 () (tptp.leq tptp.n0 tptp.n0)) % 0.44/0.63 (define @t80 () (= @t2 tptp.n4)) % 0.44/0.63 (define @t81 () (= @t2 tptp.n3)) % 0.44/0.63 (define @t82 () (= @t2 tptp.n2)) % 0.44/0.63 (define @t83 () (= @t2 tptp.n1)) % 0.44/0.63 (define @t84 () (= @t2 tptp.n0)) % 0.44/0.63 (define @t85 () (tptp.succ tptp.n0)) % 0.44/0.63 (define @t86 () (tptp.succ @t85)) % 0.44/0.63 (define @t87 () (tptp.succ @t86)) % 0.44/0.63 (define @t88 () (tptp.succ @t87)) % 0.44/0.63 (define @t89 () (not @t79)) % 0.44/0.63 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.44/0.63 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.44/0.63 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.44/0.63 (assume @p4 @t10) % 0.44/0.63 (assume @p5 (forall @t8 (=> (and @t11 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.44/0.63 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.44/0.63 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.44/0.63 (assume @p8 (forall @t6 (=> @t4 @t11))) % 0.44/0.63 (assume @p9 (forall @t6 (=> (and @t11 (not @t3)) @t4))) % 0.44/0.63 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.44/0.63 (assume @p11 (forall @t9 (tptp.gt @t12 @t2))) % 0.44/0.63 (assume @p12 (forall @t6 (=> @t11 (tptp.leq @t2 @t13)))) % 0.44/0.63 (assume @p13 (forall @t6 (= @t11 (tptp.gt @t13 @t2)))) % 0.44/0.63 (assume @p14 (forall @t17 (=> @t16 (tptp.leq @t15 @t2)))) % 0.44/0.63 (assume @p15 (forall @t17 (=> @t16 (tptp.leq tptp.n0 @t15)))) % 0.44/0.63 (assume @p16 (forall (@list @t19 @t21 @t20 @t18) (=> (and (tptp.leq @t21 @t19) @t22) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t21 @t20) @t18) @t19) @t18)))) % 0.44/0.63 (assume @p17 (forall (@list @t19 @t27 @t26 @t23 @t25 @t24 @t18) (=> (and (tptp.leq @t27 @t19) (tptp.leq @t19 @t26) (tptp.leq @t25 @t23) (tptp.leq @t23 @t24)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t27 @t26) (tptp.dim @t25 @t24) @t18) @t19 @t23) @t18)))) % 0.44/0.63 (assume @p18 (forall @t38 (=> @t37 (forall @t36 (=> @t35 (= (tptp.a_select3 @t29 @t19 @t23) (tptp.a_select3 @t29 @t23 @t19))))))) % 0.44/0.63 (assume @p19 (forall @t38 (=> @t37 (forall @t36 (=> @t35 (= (tptp.a_select3 @t39 @t19 @t23) (tptp.a_select3 @t39 @t23 @t19))))))) % 0.44/0.63 (assume @p20 (forall @t38 (=> @t37 (forall (@list @t19 @t23 @t41 @t40) (=> (and @t34 @t33 @t32 @t31 (tptp.leq tptp.n0 @t41) (tptp.leq @t41 @t30)) (= (tptp.a_select3 @t42 @t19 @t23) (tptp.a_select3 @t42 @t23 @t19))))))) % 0.44/0.63 (assume @p21 (forall @t48 (=> @t47 (forall @t36 (=> @t35 (= (tptp.a_select3 @t44 @t19 @t23) (tptp.a_select3 @t44 @t23 @t19))))))) % 0.44/0.63 (assume @p22 (forall @t48 (=> @t47 (forall @t36 (=> @t35 (= (tptp.a_select3 @t49 @t19 @t23) (tptp.a_select3 @t49 @t23 @t19))))))) % 0.44/0.63 (assume @p23 (forall @t48 (=> @t46 @t51))) % 0.44/0.63 (assume @p24 (forall (@list @t28 @t43 @t30 @t52) (=> (forall @t36 (=> @t53 @t45)) @t51))) % 0.44/0.63 (assume @p25 (forall (@list @t28 @t43 @t14 @t56 @t54 @t55 @t30 @t52) (=> (and (forall @t36 (=> @t53 (= (tptp.a_select3 @t56 @t19 @t23) (tptp.a_select3 @t56 @t23 @t19)))) @t37 (forall @t36 (=> @t35 (= (tptp.a_select3 @t55 @t19 @t23) (tptp.a_select3 @t55 @t23 @t19))))) (forall @t36 (=> @t35 (= (tptp.a_select3 @t57 @t19 @t23) (tptp.a_select3 @t57 @t23 @t19))))))) % 0.44/0.63 (assume @p26 (forall @t60 (= @t59 tptp.n0))) % 0.44/0.63 (assume @p27 (forall @t60 (= tptp.tptp_float_0_0 @t59))) % 0.44/0.63 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.44/0.63 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t12))) % 0.44/0.63 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t12))) % 0.44/0.63 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t61))) % 0.44/0.63 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t61))) % 0.44/0.63 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t62))) % 0.44/0.63 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t62))) % 0.44/0.63 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t63))) % 0.44/0.63 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t63))) % 0.44/0.63 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t64))) % 0.44/0.63 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t64))) % 0.44/0.63 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t65))) % 0.44/0.63 (assume @p40 (forall @t9 (= (tptp.pred @t12) @t2))) % 0.44/0.63 (assume @p41 (forall @t9 (= (tptp.succ @t65) @t2))) % 0.44/0.63 (assume @p42 (forall @t6 (= (tptp.leq @t12 @t13) @t11))) % 0.44/0.63 (assume @p43 (forall @t6 (=> (tptp.leq @t12 @t1) @t4))) % 0.44/0.63 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.44/0.63 (assume @p45 (forall (@list @t2 @t20 @t66 @t40) (= (tptp.a_select3 @t67 @t20 @t66) @t40))) % 0.44/0.63 (assume @p46 (forall (@list @t19 @t23 @t20 @t66 @t2 @t40 @t68) (=> (and @t69 (= @t23 @t66) (= (tptp.a_select3 @t2 @t20 @t66) @t40)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t19 @t23 @t68) @t20 @t66) @t40)))) % 0.44/0.63 (assume @p47 (forall (@list @t19 @t23 @t20 @t66 @t2 @t40) (=> (and (forall (@list @t71 @t70) (=> (and @t73 (tptp.leq tptp.n0 @t70) @t72 (tptp.leq @t70 @t66)) (= (tptp.a_select3 @t2 @t71 @t70) @t40))) @t34 @t22 @t32 (tptp.leq @t23 @t66)) (= (tptp.a_select3 @t67 @t19 @t23) @t40)))) % 0.44/0.63 (assume @p48 (forall (@list @t2 @t20 @t40) (= (tptp.a_select2 @t74 @t20) @t40))) % 0.44/0.63 (assume @p49 (forall (@list @t19 @t20 @t2 @t40 @t68) (=> (and @t69 (= (tptp.a_select2 @t2 @t20) @t40)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t19 @t68) @t20) @t40)))) % 0.44/0.63 (assume @p50 (forall (@list @t19 @t20 @t2 @t40) (=> (and (forall (@list @t71) (=> (and @t73 @t72) (= (tptp.a_select2 @t2 @t71) @t40))) @t34 @t22) (= (tptp.a_select2 @t74 @t19) @t40)))) % 0.44/0.63 (assume @p51 tptp.true) % 0.44/0.63 (assume @p52 (not (= tptp.def tptp.use))) % 0.44/0.63 (assume @p53 (not (=> (and @t78 @t77 @t76 @t75) (and @t79 @t78 @t77 @t76 @t75)))) % 0.44/0.63 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.44/0.63 (assume @p55 (tptp.gt tptp.n135300 tptp.n4)) % 0.44/0.63 (assume @p56 (tptp.gt tptp.n135300 tptp.n5)) % 0.44/0.63 (assume @p57 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.44/0.63 (assume @p58 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.44/0.63 (assume @p59 (tptp.gt tptp.n135300 tptp.tptp_minus_1)) % 0.44/0.63 (assume @p60 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.44/0.63 (assume @p61 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.44/0.63 (assume @p62 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.44/0.63 (assume @p63 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.44/0.63 (assume @p64 (tptp.gt tptp.n4 tptp.n0)) % 0.44/0.63 (assume @p65 (tptp.gt tptp.n5 tptp.n0)) % 0.44/0.63 (assume @p66 (tptp.gt tptp.n135300 tptp.n0)) % 0.44/0.63 (assume @p67 (tptp.gt tptp.n1 tptp.n0)) % 0.44/0.63 (assume @p68 (tptp.gt tptp.n2 tptp.n0)) % 0.44/0.63 (assume @p69 (tptp.gt tptp.n3 tptp.n0)) % 0.44/0.63 (assume @p70 (tptp.gt tptp.n4 tptp.n1)) % 0.44/0.63 (assume @p71 (tptp.gt tptp.n5 tptp.n1)) % 0.44/0.63 (assume @p72 (tptp.gt tptp.n135300 tptp.n1)) % 0.44/0.63 (assume @p73 (tptp.gt tptp.n2 tptp.n1)) % 0.44/0.63 (assume @p74 (tptp.gt tptp.n3 tptp.n1)) % 0.44/0.63 (assume @p75 (tptp.gt tptp.n4 tptp.n2)) % 0.44/0.63 (assume @p76 (tptp.gt tptp.n5 tptp.n2)) % 0.44/0.63 (assume @p77 (tptp.gt tptp.n135300 tptp.n2)) % 0.44/0.63 (assume @p78 (tptp.gt tptp.n3 tptp.n2)) % 0.44/0.63 (assume @p79 (tptp.gt tptp.n4 tptp.n3)) % 0.44/0.63 (assume @p80 (tptp.gt tptp.n5 tptp.n3)) % 0.44/0.63 (assume @p81 (tptp.gt tptp.n135300 tptp.n3)) % 0.44/0.63 (assume @p82 (forall @t9 (=> (and @t16 (tptp.leq @t2 tptp.n4)) (or @t84 @t83 @t82 @t81 @t80)))) % 0.44/0.63 (assume @p83 (forall @t9 (=> (and @t16 (tptp.leq @t2 tptp.n5)) (or @t84 @t83 @t82 @t81 @t80 (= @t2 tptp.n5))))) % 0.44/0.64 (assume @p84 (forall @t9 (=> (and @t16 (tptp.leq @t2 tptp.n0)) @t84))) % 0.44/0.64 (assume @p85 (forall @t9 (=> (and @t16 (tptp.leq @t2 tptp.n1)) (or @t84 @t83)))) % 0.44/0.64 (assume @p86 (forall @t9 (=> (and @t16 (tptp.leq @t2 tptp.n2)) (or @t84 @t83 @t82)))) % 0.44/0.64 (assume @p87 (forall @t9 (=> (and @t16 (tptp.leq @t2 tptp.n3)) (or @t84 @t83 @t82 @t81)))) % 0.44/0.64 (assume @p88 (= @t88 tptp.n4)) % 0.44/0.64 (assume @p89 (= (tptp.succ @t88) tptp.n5)) % 0.44/0.64 (assume @p90 (= @t85 tptp.n1)) % 0.44/0.64 (assume @p91 (= @t86 tptp.n2)) % 0.44/0.64 (assume @p92 (= @t87 tptp.n3)) % 0.44/0.64 (assume @p93 true) % 0.44/0.64 (step @p94 :rule not_implies_elim1 :premises (@p53)) % 0.44/0.64 (step @p95 :rule and_elim :premises (@p94) :args (3)) % 0.44/0.64 (step @p96 :rule and_elim :premises (@p94) :args (2)) % 0.44/0.64 (step @p97 :rule and_elim :premises (@p94) :args (1)) % 0.44/0.64 (step @p98 :rule and_elim :premises (@p94) :args (0)) % 0.44/0.64 (step @p99 :rule not_implies_elim2 :premises (@p53)) % 0.44/0.64 (step @p100 :rule not_and :premises (@p99)) % 0.44/0.64 (step @p101 :rule reordering :premises (@p100) :args ((or (not @t78) (not @t77) (not @t76) (not @t75) @t89))) % 0.44/0.64 (step @p102 :rule chain_m_resolution :premises (@p101 @p98 @p97 @p96 @p95) :args (@t89 (@list false false false false) (@list @t78 @t77 @t76 @t75))) % 0.44/0.64 (assume-push @p110 @t10) % 0.44/0.64 (step @p104 :rule instantiate :premises (@p4) :args ((@list tptp.n0))) % 0.44/0.64 (step-pop @p111 :rule scope :premises (@p104)) % 0.44/0.64 (step @p105 :rule process_scope :premises (@p111) :args (@t79)) % 0.44/0.64 (step @p107 :rule implies_elim :premises (@p105)) % 0.44/0.64 (step @p108 :rule reordering :premises (@p107) :args ((or @t79 (not @t10)))) % 0.44/0.64 (step @p109 false :rule chain_m_resolution :premises (@p108 @p102 @p4) :args (false (@list true false) (@list @t79 @t10))) % 0.44/0.64 ) % 0.44/0.64 % SZS output end Proof % 0.44/0.64 % cvc5 exiting %------------------------------------------------------------------------------