%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV138+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 09:00:35 AM UTC 2026 % Result : Theorem 0.45s 0.66s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV138+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 19:57:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.66 % SZS status Theorem % 0.45/0.66 % SZS output start Proof % 0.45/0.66 ( % 0.45/0.66 (declare-sort $$unsorted 0) % 0.45/0.66 (declare-const tptp.s_values7 $$unsorted) % 0.45/0.66 (declare-const tptp.s_best7 $$unsorted) % 0.45/0.66 (declare-const tptp.pv1325 $$unsorted) % 0.45/0.66 (declare-const tptp.def $$unsorted) % 0.45/0.66 (declare-const tptp.use $$unsorted) % 0.45/0.66 (declare-const tptp.true Bool) % 0.45/0.66 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.s_worst7 $$unsorted) % 0.45/0.66 (declare-const tptp.n3 $$unsorted) % 0.45/0.66 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.45/0.66 (declare-const tptp.n0 $$unsorted) % 0.45/0.66 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.n1 $$unsorted) % 0.45/0.66 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.n5 $$unsorted) % 0.45/0.66 (declare-const tptp.s_sworst7 $$unsorted) % 0.45/0.66 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.45/0.66 (declare-const tptp.n4 $$unsorted) % 0.45/0.66 (declare-const tptp.n2 $$unsorted) % 0.45/0.66 (define @t1 () (@var "Y" $$unsorted)) % 0.45/0.66 (define @t2 () (@var "X" $$unsorted)) % 0.45/0.66 (define @t3 () (= @t2 @t1)) % 0.45/0.66 (define @t4 () (tptp.gt @t1 @t2)) % 0.45/0.66 (define @t5 () (tptp.gt @t2 @t1)) % 0.45/0.66 (define @t6 () (@list @t2 @t1)) % 0.45/0.66 (define @t7 () (@var "Z" $$unsorted)) % 0.45/0.66 (define @t8 () (tptp.gt @t2 @t7)) % 0.45/0.66 (define @t9 () (tptp.gt @t1 @t7)) % 0.45/0.66 (define @t10 () (and @t5 @t9)) % 0.45/0.66 (define @t11 () (@list @t2 @t1 @t7)) % 0.45/0.66 (define @t12 () (forall @t11 (=> @t10 @t8))) % 0.45/0.66 (define @t13 () (@list @t2)) % 0.45/0.66 (define @t14 () (tptp.leq @t2 @t1)) % 0.45/0.66 (define @t15 () (tptp.succ @t2)) % 0.45/0.66 (define @t16 () (tptp.succ @t1)) % 0.45/0.66 (define @t17 () (@var "C" $$unsorted)) % 0.45/0.66 (define @t18 () (tptp.uniform_int_rnd @t17 @t2)) % 0.45/0.66 (define @t19 () (tptp.leq tptp.n0 @t2)) % 0.45/0.66 (define @t20 () (@list @t2 @t17)) % 0.45/0.66 (define @t21 () (@var "Val" $$unsorted)) % 0.45/0.66 (define @t22 () (@var "I" $$unsorted)) % 0.45/0.66 (define @t23 () (@var "U" $$unsorted)) % 0.45/0.66 (define @t24 () (@var "L" $$unsorted)) % 0.45/0.66 (define @t25 () (tptp.leq @t22 @t23)) % 0.45/0.66 (define @t26 () (@var "J" $$unsorted)) % 0.45/0.66 (define @t27 () (@var "U2" $$unsorted)) % 0.45/0.66 (define @t28 () (@var "L2" $$unsorted)) % 0.45/0.66 (define @t29 () (@var "U1" $$unsorted)) % 0.45/0.66 (define @t30 () (@var "L1" $$unsorted)) % 0.45/0.66 (define @t31 () (@var "A" $$unsorted)) % 0.45/0.66 (define @t32 () (tptp.trans @t31)) % 0.45/0.66 (define @t33 () (@var "N" $$unsorted)) % 0.45/0.66 (define @t34 () (tptp.leq @t26 @t33)) % 0.45/0.66 (define @t35 () (tptp.leq tptp.n0 @t26)) % 0.45/0.66 (define @t36 () (tptp.leq @t22 @t33)) % 0.45/0.66 (define @t37 () (tptp.leq tptp.n0 @t22)) % 0.45/0.66 (define @t38 () (and @t37 @t36 @t35 @t34)) % 0.45/0.66 (define @t39 () (@list @t22 @t26)) % 0.45/0.66 (define @t40 () (forall @t39 (=> @t38 (= (tptp.a_select3 @t31 @t22 @t26) (tptp.a_select3 @t31 @t26 @t22))))) % 0.45/0.66 (define @t41 () (@list @t31 @t33)) % 0.45/0.66 (define @t42 () (tptp.inv @t31)) % 0.45/0.66 (define @t43 () (@var "VAL" $$unsorted)) % 0.45/0.66 (define @t44 () (@var "K" $$unsorted)) % 0.45/0.66 (define @t45 () (tptp.tptp_update3 @t31 @t44 @t44 @t43)) % 0.45/0.66 (define @t46 () (@var "B" $$unsorted)) % 0.45/0.66 (define @t47 () (tptp.tptp_madd @t31 @t46)) % 0.45/0.66 (define @t48 () (= (tptp.a_select3 @t46 @t22 @t26) (tptp.a_select3 @t46 @t26 @t22))) % 0.45/0.66 (define @t49 () (forall @t39 (=> @t38 @t48))) % 0.45/0.66 (define @t50 () (and @t40 @t49)) % 0.45/0.66 (define @t51 () (@list @t31 @t46 @t33)) % 0.45/0.66 (define @t52 () (tptp.tptp_msub @t31 @t46)) % 0.45/0.66 (define @t53 () (tptp.tptp_mmul @t31 (tptp.tptp_mmul @t46 @t32))) % 0.45/0.66 (define @t54 () (forall @t39 (=> @t38 (= (tptp.a_select3 @t53 @t22 @t26) (tptp.a_select3 @t53 @t26 @t22))))) % 0.45/0.66 (define @t55 () (@var "M" $$unsorted)) % 0.45/0.66 (define @t56 () (and @t37 (tptp.leq @t22 @t55) @t35 (tptp.leq @t26 @t55))) % 0.45/0.66 (define @t57 () (@var "E" $$unsorted)) % 0.45/0.66 (define @t58 () (@var "F" $$unsorted)) % 0.45/0.66 (define @t59 () (@var "D" $$unsorted)) % 0.45/0.66 (define @t60 () (tptp.tptp_madd @t31 (tptp.tptp_mmul @t46 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t17 (tptp.tptp_mmul @t59 (tptp.trans @t17))) (tptp.tptp_mmul @t57 (tptp.tptp_mmul @t58 (tptp.trans @t57)))) (tptp.trans @t46))))) % 0.45/0.66 (define @t61 () (@var "Body" $$unsorted)) % 0.45/0.66 (define @t62 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t61)) % 0.45/0.66 (define @t63 () (@list @t61)) % 0.45/0.66 (define @t64 () (tptp.succ @t15)) % 0.45/0.66 (define @t65 () (tptp.succ @t64)) % 0.45/0.66 (define @t66 () (tptp.succ @t65)) % 0.45/0.66 (define @t67 () (tptp.succ @t66)) % 0.45/0.66 (define @t68 () (tptp.pred @t2)) % 0.45/0.66 (define @t69 () (@var "V" $$unsorted)) % 0.45/0.66 (define @t70 () (tptp.tptp_update3 @t2 @t23 @t69 @t43)) % 0.45/0.66 (define @t71 () (@var "VAL2" $$unsorted)) % 0.45/0.66 (define @t72 () (not (= @t22 @t23))) % 0.45/0.66 (define @t73 () (@var "J0" $$unsorted)) % 0.45/0.66 (define @t74 () (@var "I0" $$unsorted)) % 0.45/0.66 (define @t75 () (tptp.leq @t74 @t23)) % 0.45/0.66 (define @t76 () (tptp.leq tptp.n0 @t74)) % 0.45/0.66 (define @t77 () (tptp.tptp_update2 @t2 @t23 @t43)) % 0.45/0.66 (define @t78 () (tptp.leq tptp.n0 tptp.pv1325)) % 0.45/0.66 (define @t79 () (tptp.leq tptp.n2 tptp.pv1325)) % 0.45/0.66 (define @t80 () (tptp.gt tptp.n2 tptp.n0)) % 0.45/0.66 (define @t81 () (= @t2 tptp.n4)) % 0.45/0.66 (define @t82 () (= @t2 tptp.n3)) % 0.45/0.66 (define @t83 () (= @t2 tptp.n2)) % 0.45/0.66 (define @t84 () (= @t2 tptp.n1)) % 0.45/0.66 (define @t85 () (= @t2 tptp.n0)) % 0.45/0.66 (define @t86 () (tptp.succ tptp.n0)) % 0.45/0.66 (define @t87 () (tptp.succ @t86)) % 0.45/0.66 (define @t88 () (tptp.succ @t87)) % 0.45/0.66 (define @t89 () (tptp.succ @t88)) % 0.45/0.66 (define @t90 () (not @t9)) % 0.45/0.66 (define @t91 () (not @t5)) % 0.45/0.66 (define @t92 () (or @t91 @t90 @t8)) % 0.45/0.66 (define @t93 () (tptp.succ tptp.pv1325)) % 0.45/0.66 (define @t94 () (tptp.gt @t93 tptp.n2)) % 0.45/0.66 (define @t95 () (= @t79 @t94)) % 0.45/0.66 (define @t96 () (tptp.gt @t93 tptp.n0)) % 0.45/0.66 (define @t97 () (= @t78 @t96)) % 0.45/0.66 (define @t98 () (not @t96)) % 0.45/0.66 (define @t99 () (@list true false)) % 0.45/0.66 (define @t100 () (not @t80)) % 0.45/0.66 (define @t101 () (not @t94)) % 0.45/0.66 (define @t102 () (or @t101 @t100 @t96)) % 0.45/0.66 (define @t103 () (not @t102)) % 0.45/0.66 (define @t104 () (forall @t11 @t92)) % 0.45/0.66 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.45/0.66 (assume @p2 @t12) % 0.45/0.66 (assume @p3 (forall @t13 (not (tptp.gt @t2 @t2)))) % 0.45/0.66 (assume @p4 (forall @t13 (tptp.leq @t2 @t2))) % 0.45/0.66 (assume @p5 (forall @t11 (=> (and @t14 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.45/0.66 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.45/0.66 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.45/0.66 (assume @p8 (forall @t6 (=> @t4 @t14))) % 0.45/0.66 (assume @p9 (forall @t6 (=> (and @t14 (not @t3)) @t4))) % 0.45/0.66 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.45/0.66 (assume @p11 (forall @t13 (tptp.gt @t15 @t2))) % 0.45/0.66 (assume @p12 (forall @t6 (=> @t14 (tptp.leq @t2 @t16)))) % 0.45/0.66 (assume @p13 (forall @t6 (= @t14 (tptp.gt @t16 @t2)))) % 0.45/0.66 (assume @p14 (forall @t20 (=> @t19 (tptp.leq @t18 @t2)))) % 0.45/0.66 (assume @p15 (forall @t20 (=> @t19 (tptp.leq tptp.n0 @t18)))) % 0.45/0.66 (assume @p16 (forall (@list @t22 @t24 @t23 @t21) (=> (and (tptp.leq @t24 @t22) @t25) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t24 @t23) @t21) @t22) @t21)))) % 0.45/0.66 (assume @p17 (forall (@list @t22 @t30 @t29 @t26 @t28 @t27 @t21) (=> (and (tptp.leq @t30 @t22) (tptp.leq @t22 @t29) (tptp.leq @t28 @t26) (tptp.leq @t26 @t27)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t30 @t29) (tptp.dim @t28 @t27) @t21) @t22 @t26) @t21)))) % 0.45/0.66 (assume @p18 (forall @t41 (=> @t40 (forall @t39 (=> @t38 (= (tptp.a_select3 @t32 @t22 @t26) (tptp.a_select3 @t32 @t26 @t22))))))) % 0.45/0.66 (assume @p19 (forall @t41 (=> @t40 (forall @t39 (=> @t38 (= (tptp.a_select3 @t42 @t22 @t26) (tptp.a_select3 @t42 @t26 @t22))))))) % 0.45/0.66 (assume @p20 (forall @t41 (=> @t40 (forall (@list @t22 @t26 @t44 @t43) (=> (and @t37 @t36 @t35 @t34 (tptp.leq tptp.n0 @t44) (tptp.leq @t44 @t33)) (= (tptp.a_select3 @t45 @t22 @t26) (tptp.a_select3 @t45 @t26 @t22))))))) % 0.45/0.66 (assume @p21 (forall @t51 (=> @t50 (forall @t39 (=> @t38 (= (tptp.a_select3 @t47 @t22 @t26) (tptp.a_select3 @t47 @t26 @t22))))))) % 0.45/0.66 (assume @p22 (forall @t51 (=> @t50 (forall @t39 (=> @t38 (= (tptp.a_select3 @t52 @t22 @t26) (tptp.a_select3 @t52 @t26 @t22))))))) % 0.45/0.66 (assume @p23 (forall @t51 (=> @t49 @t54))) % 0.45/0.66 (assume @p24 (forall (@list @t31 @t46 @t33 @t55) (=> (forall @t39 (=> @t56 @t48)) @t54))) % 0.45/0.66 (assume @p25 (forall (@list @t31 @t46 @t17 @t59 @t57 @t58 @t33 @t55) (=> (and (forall @t39 (=> @t56 (= (tptp.a_select3 @t59 @t22 @t26) (tptp.a_select3 @t59 @t26 @t22)))) @t40 (forall @t39 (=> @t38 (= (tptp.a_select3 @t58 @t22 @t26) (tptp.a_select3 @t58 @t26 @t22))))) (forall @t39 (=> @t38 (= (tptp.a_select3 @t60 @t22 @t26) (tptp.a_select3 @t60 @t26 @t22))))))) % 0.45/0.66 (assume @p26 (forall @t63 (= @t62 tptp.n0))) % 0.45/0.66 (assume @p27 (forall @t63 (= tptp.tptp_float_0_0 @t62))) % 0.45/0.66 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.45/0.66 (assume @p29 (forall @t13 (= (tptp.plus @t2 tptp.n1) @t15))) % 0.45/0.66 (assume @p30 (forall @t13 (= (tptp.plus tptp.n1 @t2) @t15))) % 0.45/0.66 (assume @p31 (forall @t13 (= (tptp.plus @t2 tptp.n2) @t64))) % 0.45/0.66 (assume @p32 (forall @t13 (= (tptp.plus tptp.n2 @t2) @t64))) % 0.45/0.66 (assume @p33 (forall @t13 (= (tptp.plus @t2 tptp.n3) @t65))) % 0.45/0.66 (assume @p34 (forall @t13 (= (tptp.plus tptp.n3 @t2) @t65))) % 0.45/0.66 (assume @p35 (forall @t13 (= (tptp.plus @t2 tptp.n4) @t66))) % 0.45/0.66 (assume @p36 (forall @t13 (= (tptp.plus tptp.n4 @t2) @t66))) % 0.45/0.66 (assume @p37 (forall @t13 (= (tptp.plus @t2 tptp.n5) @t67))) % 0.45/0.66 (assume @p38 (forall @t13 (= (tptp.plus tptp.n5 @t2) @t67))) % 0.45/0.66 (assume @p39 (forall @t13 (= (tptp.minus @t2 tptp.n1) @t68))) % 0.45/0.66 (assume @p40 (forall @t13 (= (tptp.pred @t15) @t2))) % 0.45/0.66 (assume @p41 (forall @t13 (= (tptp.succ @t68) @t2))) % 0.45/0.66 (assume @p42 (forall @t6 (= (tptp.leq @t15 @t16) @t14))) % 0.45/0.66 (assume @p43 (forall @t6 (=> (tptp.leq @t15 @t1) @t4))) % 0.45/0.66 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.45/0.66 (assume @p45 (forall (@list @t2 @t23 @t69 @t43) (= (tptp.a_select3 @t70 @t23 @t69) @t43))) % 0.45/0.66 (assume @p46 (forall (@list @t22 @t26 @t23 @t69 @t2 @t43 @t71) (=> (and @t72 (= @t26 @t69) (= (tptp.a_select3 @t2 @t23 @t69) @t43)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t22 @t26 @t71) @t23 @t69) @t43)))) % 0.45/0.66 (assume @p47 (forall (@list @t22 @t26 @t23 @t69 @t2 @t43) (=> (and (forall (@list @t74 @t73) (=> (and @t76 (tptp.leq tptp.n0 @t73) @t75 (tptp.leq @t73 @t69)) (= (tptp.a_select3 @t2 @t74 @t73) @t43))) @t37 @t25 @t35 (tptp.leq @t26 @t69)) (= (tptp.a_select3 @t70 @t22 @t26) @t43)))) % 0.45/0.66 (assume @p48 (forall (@list @t2 @t23 @t43) (= (tptp.a_select2 @t77 @t23) @t43))) % 0.45/0.66 (assume @p49 (forall (@list @t22 @t23 @t2 @t43 @t71) (=> (and @t72 (= (tptp.a_select2 @t2 @t23) @t43)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t22 @t71) @t23) @t43)))) % 0.45/0.66 (assume @p50 (forall (@list @t22 @t23 @t2 @t43) (=> (and (forall (@list @t74) (=> (and @t76 @t75) (= (tptp.a_select2 @t2 @t74) @t43))) @t37 @t25) (= (tptp.a_select2 @t77 @t22) @t43)))) % 0.45/0.66 (assume @p51 tptp.true) % 0.45/0.66 (assume @p52 (not (= tptp.def tptp.use))) % 0.45/0.66 (assume @p53 (not (=> (and (tptp.leq tptp.n0 tptp.s_best7) (tptp.leq tptp.n0 tptp.s_sworst7) (tptp.leq tptp.n0 tptp.s_worst7) @t79 (tptp.leq tptp.s_best7 tptp.n3) (tptp.leq tptp.s_sworst7 tptp.n3) (tptp.leq tptp.s_worst7 tptp.n3) (tptp.leq tptp.pv1325 tptp.n3) (tptp.gt (tptp.a_select2 tptp.s_values7 tptp.pv1325) (tptp.a_select2 tptp.s_values7 tptp.s_best7))) @t78))) % 0.45/0.66 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.45/0.66 (assume @p55 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.45/0.66 (assume @p56 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.45/0.66 (assume @p57 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.45/0.66 (assume @p58 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.45/0.66 (assume @p59 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.45/0.66 (assume @p60 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.45/0.66 (assume @p61 (tptp.gt tptp.n4 tptp.n0)) % 0.45/0.66 (assume @p62 (tptp.gt tptp.n5 tptp.n0)) % 0.45/0.66 (assume @p63 (tptp.gt tptp.n1 tptp.n0)) % 0.45/0.66 (assume @p64 @t80) % 0.45/0.66 (assume @p65 (tptp.gt tptp.n3 tptp.n0)) % 0.45/0.66 (assume @p66 (tptp.gt tptp.n4 tptp.n1)) % 0.45/0.66 (assume @p67 (tptp.gt tptp.n5 tptp.n1)) % 0.45/0.66 (assume @p68 (tptp.gt tptp.n2 tptp.n1)) % 0.45/0.66 (assume @p69 (tptp.gt tptp.n3 tptp.n1)) % 0.45/0.66 (assume @p70 (tptp.gt tptp.n4 tptp.n2)) % 0.45/0.66 (assume @p71 (tptp.gt tptp.n5 tptp.n2)) % 0.45/0.66 (assume @p72 (tptp.gt tptp.n3 tptp.n2)) % 0.45/0.66 (assume @p73 (tptp.gt tptp.n4 tptp.n3)) % 0.45/0.66 (assume @p74 (tptp.gt tptp.n5 tptp.n3)) % 0.45/0.66 (assume @p75 (forall @t13 (=> (and @t19 (tptp.leq @t2 tptp.n4)) (or @t85 @t84 @t83 @t82 @t81)))) % 0.45/0.66 (assume @p76 (forall @t13 (=> (and @t19 (tptp.leq @t2 tptp.n5)) (or @t85 @t84 @t83 @t82 @t81 (= @t2 tptp.n5))))) % 0.45/0.66 (assume @p77 (forall @t13 (=> (and @t19 (tptp.leq @t2 tptp.n0)) @t85))) % 0.45/0.66 (assume @p78 (forall @t13 (=> (and @t19 (tptp.leq @t2 tptp.n1)) (or @t85 @t84)))) % 0.45/0.66 (assume @p79 (forall @t13 (=> (and @t19 (tptp.leq @t2 tptp.n2)) (or @t85 @t84 @t83)))) % 0.45/0.66 (assume @p80 (forall @t13 (=> (and @t19 (tptp.leq @t2 tptp.n3)) (or @t85 @t84 @t83 @t82)))) % 0.45/0.66 (assume @p81 (= @t89 tptp.n4)) % 0.45/0.66 (assume @p82 (= (tptp.succ @t89) tptp.n5)) % 0.45/0.66 (assume @p83 (= @t86 tptp.n1)) % 0.45/0.66 (assume @p84 (= @t87 tptp.n2)) % 0.45/0.66 (assume @p85 (= @t88 tptp.n3)) % 0.45/0.66 (assume @p86 true) % 0.45/0.66 (step @p87 :rule aci_norm :args ((= (or (or @t91 @t90) @t8) @t92))) % 0.45/0.66 (step @p88 :rule refl :args (@t8)) % 0.45/0.66 (step @p89 :rule bool-and-de-morgan :args (@t5 @t9 true)) % 0.45/0.66 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or (not @t10) @t8))) % 0.45/0.66 (step @p91 :rule trans :premises (@p90 @p87)) % 0.45/0.66 (step @p92 :rule bool-impl-elim :args (@t10 @t8)) % 0.45/0.66 (step @p93 :rule trans :premises (@p92 @p91)) % 0.45/0.66 (step @p94 :rule cong :premises (@p93) :args (@t12)) % 0.45/0.66 (step @p95 :rule eq_resolve :premises (@p2 @p94)) % 0.45/0.66 (step @p96 :rule instantiate :premises (@p13) :args ((@list tptp.n2 tptp.pv1325))) % 0.45/0.66 (step @p97 :rule not_implies_elim1 :premises (@p53)) % 0.45/0.66 (step @p98 :rule and_elim :premises (@p97) :args (3)) % 0.45/0.66 (step @p99 :rule cnf_equiv_pos1 :args (@t95)) % 0.45/0.66 (step @p100 :rule reordering :premises (@p99) :args ((or (not @t79) @t94 (not @t95)))) % 0.45/0.66 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p96) :args (@t94 (@list false false) (@list @t79 @t95))) % 0.45/0.66 (step @p102 :rule instantiate :premises (@p13) :args ((@list tptp.n0 tptp.pv1325))) % 0.45/0.66 (step @p103 :rule not_implies_elim2 :premises (@p53)) % 0.45/0.66 (step @p104 :rule cnf_equiv_pos2 :args (@t97)) % 0.45/0.66 (step @p105 :rule reordering :premises (@p104) :args ((or @t78 @t98 (not @t97)))) % 0.45/0.66 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p102) :args (@t98 @t99 (@list @t78 @t97))) % 0.45/0.66 (step @p107 :rule cnf_or_pos :args (@t102)) % 0.45/0.66 (step @p108 :rule reordering :premises (@p107) :args ((or @t100 @t96 @t101 @t103))) % 0.45/0.66 (step @p109 :rule chain_m_resolution :premises (@p108 @p64 @p106 @p101) :args (@t103 (@list false true false) (@list @t80 @t96 @t94))) % 0.45/0.66 (assume-push @p116 @t104) % 0.45/0.66 (step @p111 :rule instantiate :premises (@p95) :args ((@list @t93 tptp.n2 tptp.n0))) % 0.45/0.66 (step-pop @p117 :rule scope :premises (@p111)) % 0.45/0.66 (step @p112 :rule process_scope :premises (@p117) :args (@t102)) % 0.45/0.66 (step @p114 :rule implies_elim :premises (@p112)) % 0.45/0.66 (step @p115 false :rule chain_m_resolution :premises (@p114 @p109 @p95) :args (false @t99 (@list @t102 @t104))) % 0.45/0.66 ) % 0.45/0.66 % SZS output end Proof % 0.45/0.66 % cvc5 exiting %------------------------------------------------------------------------------