%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV067+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 : n001.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 09:00:27 AM UTC 2026 % Result : Theorem 0.36s 0.66s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SWV067+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n001.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:54:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.66 % SZS status Theorem % 0.36/0.66 % SZS output start Proof % 0.36/0.66 ( % 0.36/0.66 (declare-sort $$unsorted 0) % 0.36/0.66 (declare-const tptp.q $$unsorted) % 0.36/0.66 (declare-const tptp.pv78 $$unsorted) % 0.36/0.66 (declare-const tptp.pv10 $$unsorted) % 0.36/0.66 (declare-const tptp.def $$unsorted) % 0.36/0.66 (declare-const tptp.use $$unsorted) % 0.36/0.66 (declare-const tptp.true Bool) % 0.36/0.66 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.36/0.66 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.n135300 $$unsorted) % 0.36/0.66 (declare-const tptp.n3 $$unsorted) % 0.36/0.66 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.36/0.66 (declare-const tptp.n0 $$unsorted) % 0.36/0.66 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.n1 $$unsorted) % 0.36/0.66 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.n5 $$unsorted) % 0.36/0.66 (declare-const tptp.pv63 $$unsorted) % 0.36/0.66 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.36/0.66 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.36/0.66 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.36/0.66 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.36/0.66 (declare-const tptp.n4 $$unsorted) % 0.36/0.66 (declare-const tptp.n2 $$unsorted) % 0.36/0.66 (define @t1 () (@var "Y" $$unsorted)) % 0.36/0.66 (define @t2 () (@var "X" $$unsorted)) % 0.36/0.66 (define @t3 () (= @t2 @t1)) % 0.36/0.66 (define @t4 () (tptp.gt @t1 @t2)) % 0.36/0.66 (define @t5 () (tptp.gt @t2 @t1)) % 0.36/0.66 (define @t6 () (@list @t2 @t1)) % 0.36/0.66 (define @t7 () (@var "Z" $$unsorted)) % 0.36/0.66 (define @t8 () (@list @t2 @t1 @t7)) % 0.36/0.66 (define @t9 () (@list @t2)) % 0.36/0.66 (define @t10 () (tptp.leq @t2 @t1)) % 0.36/0.66 (define @t11 () (forall @t6 (=> @t4 @t10))) % 0.36/0.66 (define @t12 () (tptp.succ @t2)) % 0.36/0.66 (define @t13 () (tptp.succ @t1)) % 0.36/0.66 (define @t14 () (@var "C" $$unsorted)) % 0.36/0.66 (define @t15 () (tptp.uniform_int_rnd @t14 @t2)) % 0.36/0.66 (define @t16 () (tptp.leq tptp.n0 @t2)) % 0.36/0.66 (define @t17 () (@list @t2 @t14)) % 0.36/0.66 (define @t18 () (@var "Val" $$unsorted)) % 0.36/0.66 (define @t19 () (@var "I" $$unsorted)) % 0.36/0.66 (define @t20 () (@var "U" $$unsorted)) % 0.36/0.66 (define @t21 () (@var "L" $$unsorted)) % 0.36/0.66 (define @t22 () (tptp.leq @t19 @t20)) % 0.36/0.66 (define @t23 () (@var "J" $$unsorted)) % 0.36/0.66 (define @t24 () (@var "U2" $$unsorted)) % 0.36/0.66 (define @t25 () (@var "L2" $$unsorted)) % 0.36/0.66 (define @t26 () (@var "U1" $$unsorted)) % 0.36/0.66 (define @t27 () (@var "L1" $$unsorted)) % 0.36/0.66 (define @t28 () (@var "A" $$unsorted)) % 0.36/0.66 (define @t29 () (tptp.trans @t28)) % 0.36/0.66 (define @t30 () (@var "N" $$unsorted)) % 0.36/0.66 (define @t31 () (tptp.leq @t23 @t30)) % 0.36/0.66 (define @t32 () (tptp.leq tptp.n0 @t23)) % 0.36/0.66 (define @t33 () (tptp.leq @t19 @t30)) % 0.36/0.66 (define @t34 () (tptp.leq tptp.n0 @t19)) % 0.36/0.66 (define @t35 () (and @t34 @t33 @t32 @t31)) % 0.36/0.66 (define @t36 () (@list @t19 @t23)) % 0.36/0.66 (define @t37 () (forall @t36 (=> @t35 (= (tptp.a_select3 @t28 @t19 @t23) (tptp.a_select3 @t28 @t23 @t19))))) % 0.36/0.66 (define @t38 () (@list @t28 @t30)) % 0.36/0.66 (define @t39 () (tptp.inv @t28)) % 0.36/0.66 (define @t40 () (@var "VAL" $$unsorted)) % 0.36/0.66 (define @t41 () (@var "K" $$unsorted)) % 0.36/0.66 (define @t42 () (tptp.tptp_update3 @t28 @t41 @t41 @t40)) % 0.36/0.66 (define @t43 () (@var "B" $$unsorted)) % 0.36/0.66 (define @t44 () (tptp.tptp_madd @t28 @t43)) % 0.36/0.66 (define @t45 () (= (tptp.a_select3 @t43 @t19 @t23) (tptp.a_select3 @t43 @t23 @t19))) % 0.36/0.66 (define @t46 () (forall @t36 (=> @t35 @t45))) % 0.36/0.66 (define @t47 () (and @t37 @t46)) % 0.36/0.66 (define @t48 () (@list @t28 @t43 @t30)) % 0.36/0.66 (define @t49 () (tptp.tptp_msub @t28 @t43)) % 0.36/0.66 (define @t50 () (tptp.tptp_mmul @t28 (tptp.tptp_mmul @t43 @t29))) % 0.36/0.66 (define @t51 () (forall @t36 (=> @t35 (= (tptp.a_select3 @t50 @t19 @t23) (tptp.a_select3 @t50 @t23 @t19))))) % 0.36/0.66 (define @t52 () (@var "M" $$unsorted)) % 0.36/0.66 (define @t53 () (and @t34 (tptp.leq @t19 @t52) @t32 (tptp.leq @t23 @t52))) % 0.36/0.66 (define @t54 () (@var "E" $$unsorted)) % 0.36/0.66 (define @t55 () (@var "F" $$unsorted)) % 0.36/0.66 (define @t56 () (@var "D" $$unsorted)) % 0.36/0.66 (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))))) % 0.36/0.66 (define @t58 () (@var "Body" $$unsorted)) % 0.36/0.66 (define @t59 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t58)) % 0.36/0.66 (define @t60 () (@list @t58)) % 0.36/0.66 (define @t61 () (tptp.succ @t12)) % 0.36/0.66 (define @t62 () (tptp.succ @t61)) % 0.36/0.66 (define @t63 () (tptp.succ @t62)) % 0.36/0.66 (define @t64 () (tptp.succ @t63)) % 0.36/0.66 (define @t65 () (tptp.pred @t2)) % 0.36/0.66 (define @t66 () (tptp.leq @t12 @t1)) % 0.36/0.66 (define @t67 () (forall @t6 (=> @t66 @t4))) % 0.36/0.66 (define @t68 () (@var "V" $$unsorted)) % 0.36/0.66 (define @t69 () (tptp.tptp_update3 @t2 @t20 @t68 @t40)) % 0.36/0.66 (define @t70 () (@var "VAL2" $$unsorted)) % 0.36/0.66 (define @t71 () (not (= @t19 @t20))) % 0.36/0.66 (define @t72 () (@var "J0" $$unsorted)) % 0.36/0.66 (define @t73 () (@var "I0" $$unsorted)) % 0.36/0.66 (define @t74 () (tptp.leq @t73 @t20)) % 0.36/0.66 (define @t75 () (tptp.leq tptp.n0 @t73)) % 0.36/0.66 (define @t76 () (tptp.tptp_update2 @t2 @t20 @t40)) % 0.36/0.66 (define @t77 () (tptp.leq tptp.pv10 (tptp.minus tptp.n135300 tptp.n1))) % 0.36/0.66 (define @t78 () (tptp.leq tptp.n0 tptp.pv10)) % 0.36/0.66 (define @t79 () (and @t78 @t77)) % 0.36/0.66 (define @t80 () (tptp.gt (tptp.a_select3 tptp.q tptp.pv10 tptp.pv63) tptp.pv78)) % 0.36/0.66 (define @t81 () (=> @t80 @t79)) % 0.36/0.66 (define @t82 () (=> (not @t80) @t79)) % 0.36/0.66 (define @t83 () (tptp.leq tptp.pv63 (tptp.minus tptp.n5 tptp.n1))) % 0.36/0.66 (define @t84 () (tptp.leq tptp.n0 tptp.pv63)) % 0.36/0.66 (define @t85 () (tptp.leq tptp.n1 tptp.pv63)) % 0.36/0.66 (define @t86 () (= @t2 tptp.n4)) % 0.36/0.66 (define @t87 () (= @t2 tptp.n3)) % 0.36/0.66 (define @t88 () (= @t2 tptp.n2)) % 0.36/0.66 (define @t89 () (= @t2 tptp.n1)) % 0.36/0.66 (define @t90 () (= @t2 tptp.n0)) % 0.36/0.66 (define @t91 () (tptp.succ tptp.n0)) % 0.36/0.66 (define @t92 () (tptp.succ @t91)) % 0.36/0.66 (define @t93 () (tptp.succ @t92)) % 0.36/0.66 (define @t94 () (tptp.succ @t93)) % 0.36/0.66 (define @t95 () (@list tptp.n0 tptp.pv63)) % 0.36/0.66 (define @t96 () (@list false)) % 0.36/0.66 (define @t97 () (@list @t79)) % 0.36/0.66 (define @t98 () (not @t84)) % 0.36/0.66 (define @t99 () (tptp.gt tptp.pv63 tptp.n0)) % 0.36/0.66 (define @t100 () (not @t99)) % 0.36/0.66 (define @t101 () (or @t100 @t84)) % 0.36/0.66 (define @t102 () (@list true false)) % 0.36/0.66 (define @t103 () (not (tptp.leq @t91 tptp.pv63))) % 0.36/0.66 (define @t104 () (or @t103 @t99)) % 0.36/0.66 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.36/0.66 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.36/0.66 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.36/0.66 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.36/0.66 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.36/0.66 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.36/0.66 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.36/0.66 (assume @p8 @t11) % 0.36/0.66 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.36/0.66 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.36/0.66 (assume @p11 (forall @t9 (tptp.gt @t12 @t2))) % 0.36/0.66 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t13)))) % 0.36/0.66 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t13 @t2)))) % 0.36/0.66 (assume @p14 (forall @t17 (=> @t16 (tptp.leq @t15 @t2)))) % 0.36/0.66 (assume @p15 (forall @t17 (=> @t16 (tptp.leq tptp.n0 @t15)))) % 0.36/0.66 (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)))) % 0.36/0.66 (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)))) % 0.36/0.66 (assume @p18 (forall @t38 (=> @t37 (forall @t36 (=> @t35 (= (tptp.a_select3 @t29 @t19 @t23) (tptp.a_select3 @t29 @t23 @t19))))))) % 0.36/0.66 (assume @p19 (forall @t38 (=> @t37 (forall @t36 (=> @t35 (= (tptp.a_select3 @t39 @t19 @t23) (tptp.a_select3 @t39 @t23 @t19))))))) % 0.36/0.66 (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))))))) % 0.36/0.66 (assume @p21 (forall @t48 (=> @t47 (forall @t36 (=> @t35 (= (tptp.a_select3 @t44 @t19 @t23) (tptp.a_select3 @t44 @t23 @t19))))))) % 0.36/0.66 (assume @p22 (forall @t48 (=> @t47 (forall @t36 (=> @t35 (= (tptp.a_select3 @t49 @t19 @t23) (tptp.a_select3 @t49 @t23 @t19))))))) % 0.36/0.66 (assume @p23 (forall @t48 (=> @t46 @t51))) % 0.36/0.66 (assume @p24 (forall (@list @t28 @t43 @t30 @t52) (=> (forall @t36 (=> @t53 @t45)) @t51))) % 0.36/0.66 (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))))))) % 0.36/0.66 (assume @p26 (forall @t60 (= @t59 tptp.n0))) % 0.36/0.66 (assume @p27 (forall @t60 (= tptp.tptp_float_0_0 @t59))) % 0.36/0.66 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.36/0.66 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t12))) % 0.36/0.66 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t12))) % 0.36/0.66 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t61))) % 0.36/0.66 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t61))) % 0.36/0.66 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t62))) % 0.36/0.66 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t62))) % 0.36/0.66 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t63))) % 0.36/0.66 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t63))) % 0.36/0.66 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t64))) % 0.36/0.66 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t64))) % 0.36/0.66 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t65))) % 0.36/0.66 (assume @p40 (forall @t9 (= (tptp.pred @t12) @t2))) % 0.36/0.66 (assume @p41 (forall @t9 (= (tptp.succ @t65) @t2))) % 0.36/0.66 (assume @p42 (forall @t6 (= (tptp.leq @t12 @t13) @t10))) % 0.36/0.66 (assume @p43 @t67) % 0.36/0.66 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.36/0.66 (assume @p45 (forall (@list @t2 @t20 @t68 @t40) (= (tptp.a_select3 @t69 @t20 @t68) @t40))) % 0.36/0.66 (assume @p46 (forall (@list @t19 @t23 @t20 @t68 @t2 @t40 @t70) (=> (and @t71 (= @t23 @t68) (= (tptp.a_select3 @t2 @t20 @t68) @t40)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t19 @t23 @t70) @t20 @t68) @t40)))) % 0.36/0.66 (assume @p47 (forall (@list @t19 @t23 @t20 @t68 @t2 @t40) (=> (and (forall (@list @t73 @t72) (=> (and @t75 (tptp.leq tptp.n0 @t72) @t74 (tptp.leq @t72 @t68)) (= (tptp.a_select3 @t2 @t73 @t72) @t40))) @t34 @t22 @t32 (tptp.leq @t23 @t68)) (= (tptp.a_select3 @t69 @t19 @t23) @t40)))) % 0.36/0.66 (assume @p48 (forall (@list @t2 @t20 @t40) (= (tptp.a_select2 @t76 @t20) @t40))) % 0.36/0.66 (assume @p49 (forall (@list @t19 @t20 @t2 @t40 @t70) (=> (and @t71 (= (tptp.a_select2 @t2 @t20) @t40)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t19 @t70) @t20) @t40)))) % 0.36/0.66 (assume @p50 (forall (@list @t19 @t20 @t2 @t40) (=> (and (forall (@list @t73) (=> (and @t75 @t74) (= (tptp.a_select2 @t2 @t73) @t40))) @t34 @t22) (= (tptp.a_select2 @t76 @t19) @t40)))) % 0.36/0.66 (assume @p51 tptp.true) % 0.36/0.66 (assume @p52 (not (= tptp.def tptp.use))) % 0.36/0.66 (assume @p53 (not (=> (and @t78 @t85 @t77 @t83) (and @t78 @t84 @t77 @t83 @t82 @t81)))) % 0.36/0.66 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.36/0.66 (assume @p55 (tptp.gt tptp.n135300 tptp.n4)) % 0.36/0.66 (assume @p56 (tptp.gt tptp.n135300 tptp.n5)) % 0.36/0.66 (assume @p57 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.36/0.66 (assume @p58 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.36/0.66 (assume @p59 (tptp.gt tptp.n135300 tptp.tptp_minus_1)) % 0.36/0.66 (assume @p60 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.36/0.66 (assume @p61 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.36/0.66 (assume @p62 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.36/0.66 (assume @p63 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.36/0.66 (assume @p64 (tptp.gt tptp.n4 tptp.n0)) % 0.36/0.66 (assume @p65 (tptp.gt tptp.n5 tptp.n0)) % 0.36/0.66 (assume @p66 (tptp.gt tptp.n135300 tptp.n0)) % 0.36/0.66 (assume @p67 (tptp.gt tptp.n1 tptp.n0)) % 0.36/0.66 (assume @p68 (tptp.gt tptp.n2 tptp.n0)) % 0.36/0.66 (assume @p69 (tptp.gt tptp.n3 tptp.n0)) % 0.36/0.66 (assume @p70 (tptp.gt tptp.n4 tptp.n1)) % 0.36/0.66 (assume @p71 (tptp.gt tptp.n5 tptp.n1)) % 0.36/0.66 (assume @p72 (tptp.gt tptp.n135300 tptp.n1)) % 0.36/0.66 (assume @p73 (tptp.gt tptp.n2 tptp.n1)) % 0.36/0.66 (assume @p74 (tptp.gt tptp.n3 tptp.n1)) % 0.36/0.66 (assume @p75 (tptp.gt tptp.n4 tptp.n2)) % 0.36/0.66 (assume @p76 (tptp.gt tptp.n5 tptp.n2)) % 0.36/0.66 (assume @p77 (tptp.gt tptp.n135300 tptp.n2)) % 0.36/0.66 (assume @p78 (tptp.gt tptp.n3 tptp.n2)) % 0.36/0.66 (assume @p79 (tptp.gt tptp.n4 tptp.n3)) % 0.36/0.66 (assume @p80 (tptp.gt tptp.n5 tptp.n3)) % 0.36/0.66 (assume @p81 (tptp.gt tptp.n135300 tptp.n3)) % 0.36/0.66 (assume @p82 (forall @t9 (=> (and @t16 (tptp.leq @t2 tptp.n4)) (or @t90 @t89 @t88 @t87 @t86)))) % 0.36/0.66 (assume @p83 (forall @t9 (=> (and @t16 (tptp.leq @t2 tptp.n5)) (or @t90 @t89 @t88 @t87 @t86 (= @t2 tptp.n5))))) % 0.36/0.66 (assume @p84 (forall @t9 (=> (and @t16 (tptp.leq @t2 tptp.n0)) @t90))) % 0.36/0.66 (assume @p85 (forall @t9 (=> (and @t16 (tptp.leq @t2 tptp.n1)) (or @t90 @t89)))) % 0.36/0.66 (assume @p86 (forall @t9 (=> (and @t16 (tptp.leq @t2 tptp.n2)) (or @t90 @t89 @t88)))) % 0.36/0.66 (assume @p87 (forall @t9 (=> (and @t16 (tptp.leq @t2 tptp.n3)) (or @t90 @t89 @t88 @t87)))) % 0.36/0.66 (assume @p88 (= @t94 tptp.n4)) % 0.36/0.66 (assume @p89 (= (tptp.succ @t94) tptp.n5)) % 0.36/0.66 (assume @p90 (= @t91 tptp.n1)) % 0.36/0.66 (assume @p91 (= @t92 tptp.n2)) % 0.36/0.66 (assume @p92 (= @t93 tptp.n3)) % 0.36/0.66 (assume @p93 true) % 0.36/0.66 (step @p94 :rule evaluate :args ((= true false))) % 0.36/0.66 (step @p95 :rule bool-impl-elim :args (@t66 @t4)) % 0.36/0.66 (step @p96 :rule cong :premises (@p95) :args (@t67)) % 0.36/0.66 (step @p97 :rule eq_resolve :premises (@p43 @p96)) % 0.36/0.66 (step @p98 :rule instantiate :premises (@p97) :args (@t95)) % 0.36/0.66 (step @p99 :rule bool-impl-elim :args (@t4 @t10)) % 0.36/0.66 (step @p100 :rule cong :premises (@p99) :args (@t11)) % 0.36/0.66 (step @p101 :rule eq_resolve :premises (@p8 @p100)) % 0.36/0.66 (step @p102 :rule instantiate :premises (@p101) :args (@t95)) % 0.36/0.66 (step @p103 :rule not_implies_elim1 :premises (@p53)) % 0.36/0.66 (step @p104 :rule and_elim :premises (@p103) :args (2)) % 0.36/0.66 (step @p105 :rule and_elim :premises (@p103) :args (0)) % 0.36/0.66 (step @p106 :rule cnf_and_neg :args (@t79)) % 0.36/0.66 (step @p107 :rule chain_m_resolution :premises (@p106 @p105 @p104) :args (@t79 (@list false false) (@list @t78 @t77))) % 0.36/0.66 (step @p108 :rule cnf_implies_neg2 :args (@t81)) % 0.36/0.66 (step @p109 :rule chain_m_resolution :premises (@p108 @p107) :args (@t81 @t96 @t97)) % 0.36/0.66 (step @p110 :rule cnf_implies_neg2 :args (@t82)) % 0.36/0.66 (step @p111 :rule chain_m_resolution :premises (@p110 @p107) :args (@t82 @t96 @t97)) % 0.36/0.66 (step @p112 :rule and_elim :premises (@p103) :args (3)) % 0.36/0.66 (step @p113 :rule not_implies_elim2 :premises (@p53)) % 0.36/0.66 (step @p114 :rule not_and :premises (@p113)) % 0.36/0.66 (step @p115 :rule reordering :premises (@p114) :args ((or (not @t78) (not @t77) (not @t83) @t98 (not @t82) (not @t81)))) % 0.36/0.66 (step @p116 :rule chain_m_resolution :premises (@p115 @p105 @p104 @p112 @p111 @p109) :args (@t98 (@list false false false false false) (@list @t78 @t77 @t83 @t82 @t81))) % 0.36/0.66 (step @p117 :rule cnf_or_pos :args (@t101)) % 0.36/0.66 (step @p118 :rule reordering :premises (@p117) :args ((or @t84 @t100 (not @t101)))) % 0.36/0.66 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p102) :args (@t100 @t102 (@list @t84 @t101))) % 0.36/0.66 (step @p120 :rule cnf_or_pos :args (@t104)) % 0.36/0.66 (step @p121 :rule reordering :premises (@p120) :args ((or @t99 @t103 (not @t104)))) % 0.36/0.66 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p98) :args (@t103 @t102 (@list @t99 @t104))) % 0.36/0.66 (step @p123 :rule false_intro :premises (@p122)) % 0.36/0.66 (step @p124 :rule refl :args (tptp.pv63)) % 0.36/0.66 (step @p125 :rule symm :premises (@p90)) % 0.36/0.66 (step @p126 :rule cong :premises (@p125 @p124) :args (@t85)) % 0.36/0.66 (step @p127 :rule and_elim :premises (@p103) :args (1)) % 0.36/0.66 (step @p128 :rule true_intro :premises (@p127)) % 0.36/0.66 (step @p129 :rule symm :premises (@p128)) % 0.36/0.66 (step @p130 :rule trans :premises (@p129 @p126 @p123)) % 0.36/0.66 (step @p131 false :rule eq_resolve :premises (@p130 @p94)) % 0.36/0.66 ) % 0.36/0.66 % SZS output end Proof % 0.36/0.66 % cvc5 exiting %------------------------------------------------------------------------------