%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX079_1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 09:07:06 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX079_1 : TPTP v9.2.1. Released v9.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.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 22:55:47 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_ARI % 0.38/0.59 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort tptp.symbol 0) % 0.38/0.59 (declare-sort tptp.general 0) % 0.38/0.59 (declare-const tptp.f__integer__ (-> Int tptp.general)) % 0.38/0.59 (declare-const tptp.f__symbolic__ (-> tptp.symbol tptp.general)) % 0.38/0.59 (declare-const tptp.covered (-> tptp.general Bool)) % 0.38/0.59 (declare-const tptp.p__is_symbolic__ (-> tptp.general Bool)) % 0.38/0.59 (declare-const tptp.c__supremum__ tptp.general) % 0.38/0.59 (declare-const tptp.c__infimum__ tptp.general) % 0.38/0.59 (declare-const tptp.p__is_integer__ (-> tptp.general Bool)) % 0.38/0.59 (declare-const tptp.s (-> tptp.general tptp.general Bool)) % 0.38/0.59 (declare-const tptp.n_i Int) % 0.38/0.59 (declare-const tptp.p__less_equal__ (-> tptp.general tptp.general Bool)) % 0.38/0.59 (declare-const tptp.p__less__ (-> tptp.general tptp.general Bool)) % 0.38/0.59 (declare-const tptp.p__greater_equal__ (-> tptp.general tptp.general Bool)) % 0.38/0.59 (declare-const tptp.p__greater__ (-> tptp.general tptp.general Bool)) % 0.38/0.59 (declare-const tptp.in_cover (-> tptp.general Bool)) % 0.38/0.59 (define @t1 () (@var "N" Int)) % 0.38/0.59 (define @t2 () (tptp.f__integer__ @t1)) % 0.38/0.59 (define @t3 () (@var "X" tptp.general)) % 0.38/0.59 (define @t4 () (@list @t1)) % 0.38/0.59 (define @t5 () (tptp.p__is_integer__ @t3)) % 0.38/0.59 (define @t6 () (@list @t3)) % 0.38/0.59 (define @t7 () (@var "X2" tptp.symbol)) % 0.38/0.59 (define @t8 () (@var "X1" tptp.general)) % 0.38/0.59 (define @t9 () (@var "N2" Int)) % 0.38/0.59 (define @t10 () (@var "N1" Int)) % 0.38/0.59 (define @t11 () (tptp.f__integer__ @t9)) % 0.38/0.59 (define @t12 () (tptp.f__integer__ @t10)) % 0.38/0.59 (define @t13 () (@list @t10 @t9)) % 0.38/0.59 (define @t14 () (@var "S2" tptp.symbol)) % 0.38/0.59 (define @t15 () (@var "S1" tptp.symbol)) % 0.38/0.59 (define @t16 () (@var "X2" tptp.general)) % 0.38/0.59 (define @t17 () (= @t8 @t16)) % 0.38/0.59 (define @t18 () (tptp.p__less_equal__ @t16 @t8)) % 0.38/0.59 (define @t19 () (tptp.p__less_equal__ @t8 @t16)) % 0.38/0.59 (define @t20 () (@list @t8 @t16)) % 0.38/0.59 (define @t21 () (@var "X3" tptp.general)) % 0.38/0.59 (define @t22 () (not @t17)) % 0.38/0.59 (define @t23 () (@var "S" tptp.symbol)) % 0.38/0.59 (define @t24 () (tptp.f__symbolic__ @t23)) % 0.38/0.59 (define @t25 () (@var "I_i" Int)) % 0.38/0.59 (define @t26 () (>= @t25 1)) % 0.38/0.59 (define @t27 () (tptp.f__integer__ @t25)) % 0.38/0.59 (define @t28 () (@var "Y_g" tptp.general)) % 0.38/0.59 (define @t29 () (= @t28 @t27)) % 0.38/0.59 (define @t30 () (and @t29 @t26 (<= @t25 tptp.n_i))) % 0.38/0.59 (define @t31 () (@list @t25)) % 0.38/0.59 (define @t32 () (exists @t31 @t30)) % 0.38/0.59 (define @t33 () (@var "X_g" tptp.general)) % 0.38/0.59 (define @t34 () (@list @t28)) % 0.38/0.59 (define @t35 () (@var "Z1_g" tptp.general)) % 0.38/0.59 (define @t36 () (@var "Z_g" tptp.general)) % 0.38/0.59 (define @t37 () (tptp.s @t36 @t35)) % 0.38/0.59 (define @t38 () (@var "I_g" tptp.general)) % 0.38/0.59 (define @t39 () (= @t36 @t33)) % 0.38/0.59 (define @t40 () (@list @t36 @t35)) % 0.38/0.59 (define @t41 () (exists @t40 (and @t39 (= @t35 @t38) @t37))) % 0.38/0.59 (define @t42 () (tptp.in_cover @t36)) % 0.38/0.59 (define @t43 () (= @t36 @t38)) % 0.38/0.59 (define @t44 () (@list @t36)) % 0.38/0.59 (define @t45 () (exists @t44 (and @t43 @t42))) % 0.38/0.59 (define @t46 () (@var "V1_g" tptp.general)) % 0.38/0.59 (define @t47 () (@list @t33 @t38)) % 0.38/0.59 (define @t48 () (@list @t46)) % 0.38/0.59 (define @t49 () (@var "J_g" tptp.general)) % 0.38/0.59 (define @t50 () (= @t35 @t49)) % 0.38/0.59 (define @t51 () (tptp.in_cover @t46)) % 0.38/0.59 (define @t52 () (not (not @t51))) % 0.38/0.59 (define @t53 () (@var "J_i" Int)) % 0.38/0.59 (define @t54 () (@var "K_i" Int)) % 0.38/0.59 (define @t55 () (tptp.f__integer__ @t54)) % 0.38/0.59 (define @t56 () (= @t46 @t55)) % 0.38/0.59 (define @t57 () (= @t53 tptp.n_i)) % 0.38/0.59 (define @t58 () (= @t25 1)) % 0.38/0.59 (define @t59 () (and @t58 @t57 @t56 (<= @t25 @t54) (<= @t54 @t53))) % 0.38/0.59 (define @t60 () (@list @t25 @t53 @t54)) % 0.38/0.59 (define @t61 () (exists @t60 @t59)) % 0.38/0.59 (define @t62 () (and @t61 true @t52)) % 0.38/0.59 (define @t63 () (= @t51 @t62)) % 0.38/0.59 (define @t64 () (forall @t48 @t63)) % 0.38/0.59 (define @t65 () (tptp.in_cover @t28)) % 0.38/0.59 (define @t66 () (=> @t65 @t32)) % 0.38/0.59 (define @t67 () (forall @t34 @t66)) % 0.38/0.59 (define @t68 () (not @t67)) % 0.38/0.59 (define @t69 () (+ tptp.n_i (* -1 @t25))) % 0.38/0.59 (define @t70 () (>= @t69 0)) % 0.38/0.59 (define @t71 () (not @t70)) % 0.38/0.59 (define @t72 () (not @t26)) % 0.38/0.59 (define @t73 () (not @t29)) % 0.38/0.59 (define @t74 () (or @t73 @t72 @t71)) % 0.38/0.59 (define @t75 () (not (forall @t31 @t74))) % 0.38/0.59 (define @t76 () (and @t29 @t26 @t70)) % 0.38/0.59 (define @t77 () (forall @t31 (not @t76))) % 0.38/0.59 (define @t78 () (not @t77)) % 0.38/0.59 (define @t79 () (forall @t34 (or (not @t65) @t75))) % 0.38/0.59 (define @t80 () (@quantifiers_skolemize @t79 0)) % 0.38/0.59 (define @t81 () (forall @t31 (or (not (= @t27 @t80)) @t72 @t71))) % 0.38/0.59 (define @t82 () (not @t81)) % 0.38/0.59 (define @t83 () (tptp.in_cover @t80)) % 0.38/0.59 (define @t84 () (not @t83)) % 0.38/0.59 (define @t85 () (or @t84 @t82)) % 0.38/0.59 (define @t86 () (not @t85)) % 0.38/0.59 (define @t87 () (not @t79)) % 0.38/0.59 (define @t88 () (not (= @t80 @t27))) % 0.38/0.59 (define @t89 () (or @t88 @t72 @t71)) % 0.38/0.59 (define @t90 () (forall @t31 @t89)) % 0.38/0.59 (define @t91 () (not @t90)) % 0.38/0.59 (define @t92 () (or @t84 @t91)) % 0.38/0.59 (define @t93 () (not @t92)) % 0.38/0.59 (define @t94 () (@list true)) % 0.38/0.59 (define @t95 () (@list @t85)) % 0.38/0.59 (define @t96 () (* -1 @t54)) % 0.38/0.59 (define @t97 () (not (>= (+ tptp.n_i @t96) 0))) % 0.38/0.59 (define @t98 () (not (>= @t54 1))) % 0.38/0.59 (define @t99 () (not @t56)) % 0.38/0.59 (define @t100 () (or @t99 @t98 @t97)) % 0.38/0.59 (define @t101 () (not (= tptp.n_i tptp.n_i))) % 0.38/0.59 (define @t102 () (or @t101 @t99 @t98 @t97)) % 0.38/0.59 (define @t103 () (@list @t54)) % 0.38/0.59 (define @t104 () (+ @t53 @t96)) % 0.38/0.59 (define @t105 () (>= @t104 0)) % 0.38/0.59 (define @t106 () (not @t105)) % 0.38/0.59 (define @t107 () (= tptp.n_i @t53)) % 0.38/0.59 (define @t108 () (not @t107)) % 0.38/0.59 (define @t109 () (@list @t53)) % 0.38/0.59 (define @t110 () (* 1 (- @t53 tptp.n_i))) % 0.38/0.59 (define @t111 () (* -1 (- tptp.n_i @t53))) % 0.38/0.59 (define @t112 () (or @t108 @t108 @t99 @t98 @t106)) % 0.38/0.59 (define @t113 () (or @t108 @t99 @t98 @t106)) % 0.38/0.59 (define @t114 () (forall @t109 @t113)) % 0.38/0.59 (define @t115 () (forall @t103 @t114)) % 0.38/0.59 (define @t116 () (forall (@list @t54 @t53) @t113)) % 0.38/0.59 (define @t117 () (@list @t53 @t54)) % 0.38/0.59 (define @t118 () (+ 1 @t96)) % 0.38/0.59 (define @t119 () (+ @t54 1)) % 0.38/0.59 (define @t120 () (>= @t118 1)) % 0.38/0.59 (define @t121 () (= 1 1)) % 0.38/0.59 (define @t122 () (not @t121)) % 0.38/0.59 (define @t123 () (or @t122 @t108 @t99 @t120 @t106)) % 0.38/0.59 (define @t124 () (+ @t25 @t96)) % 0.38/0.59 (define @t125 () (>= @t124 1)) % 0.38/0.59 (define @t126 () (not @t58)) % 0.38/0.59 (define @t127 () (or @t126 @t126 @t108 @t99 @t125 @t106)) % 0.38/0.59 (define @t128 () (or @t126 @t108 @t99 @t125 @t106)) % 0.38/0.59 (define @t129 () (forall @t31 @t128)) % 0.38/0.59 (define @t130 () (forall @t117 @t129)) % 0.38/0.59 (define @t131 () (forall (@list @t53 @t54 @t25) @t128)) % 0.38/0.59 (define @t132 () (not @t125)) % 0.38/0.59 (define @t133 () (not @t132)) % 0.38/0.59 (define @t134 () (or @t126 @t108 @t99 @t133 @t106)) % 0.38/0.59 (define @t135 () (and @t58 @t107 @t56 @t132 @t105)) % 0.38/0.59 (define @t136 () (forall @t60 (not @t135))) % 0.38/0.59 (define @t137 () (not @t136)) % 0.38/0.59 (define @t138 () (>= @t25 @t119)) % 0.38/0.59 (define @t139 () (and @t61 @t52)) % 0.38/0.59 (define @t140 () (not (= @t80 @t55))) % 0.38/0.59 (define @t141 () (or @t140 @t98 @t97)) % 0.38/0.59 (define @t142 () (forall @t103 @t141)) % 0.38/0.59 (define @t143 () (not @t142)) % 0.38/0.59 (define @t144 () (and @t143 @t83)) % 0.38/0.59 (define @t145 () (= @t83 @t144)) % 0.38/0.59 (define @t146 () (forall @t48 (= @t51 (and (not (forall @t103 @t100)) @t51)))) % 0.38/0.59 (define @t147 () (forall @t103 (or (not (= @t55 @t80)) @t98 @t97))) % 0.38/0.59 (define @t148 () (not @t147)) % 0.38/0.59 (define @t149 () (and @t148 @t83)) % 0.38/0.59 (define @t150 () (= @t83 @t149)) % 0.38/0.59 (define @t151 () (@list false)) % 0.38/0.59 (define @t152 () (not @t149)) % 0.38/0.59 (assume @p1 (forall @t6 (= @t5 (exists @t4 (= @t3 @t2))))) % 0.38/0.59 (assume @p2 (forall (@list @t8) (= (tptp.p__is_symbolic__ @t8) (exists (@list @t7) (= @t8 (tptp.f__symbolic__ @t7)))))) % 0.38/0.59 (assume @p3 (forall @t6 (or (= @t3 tptp.c__infimum__) @t5 (tptp.p__is_symbolic__ @t3) (= @t3 tptp.c__supremum__)))) % 0.38/0.59 (assume @p4 (forall @t13 (= (= @t12 @t11) (= @t10 @t9)))) % 0.38/0.59 (assume @p5 (forall (@list @t15 @t14) (= (= (tptp.f__symbolic__ @t15) (tptp.f__symbolic__ @t14)) (= @t15 @t14)))) % 0.38/0.59 (assume @p6 (forall @t13 (= (tptp.p__less_equal__ @t12 @t11) (<= @t10 @t9)))) % 0.38/0.59 (assume @p7 (forall @t20 (=> (and @t19 @t18) @t17))) % 0.38/0.59 (assume @p8 (forall (@list @t8 @t16 @t21) (=> (and @t19 (tptp.p__less_equal__ @t16 @t21)) (tptp.p__less_equal__ @t8 @t21)))) % 0.38/0.59 (assume @p9 (forall @t20 (or @t19 @t18))) % 0.38/0.59 (assume @p10 (forall @t20 (= (tptp.p__less__ @t8 @t16) (and @t19 @t22)))) % 0.38/0.59 (assume @p11 (forall @t20 (= (tptp.p__greater_equal__ @t8 @t16) @t18))) % 0.38/0.59 (assume @p12 (forall @t20 (= (tptp.p__greater__ @t8 @t16) (and @t18 @t22)))) % 0.38/0.59 (assume @p13 (forall @t4 (tptp.p__less__ tptp.c__infimum__ @t2))) % 0.38/0.59 (assume @p14 (forall (@list @t1 @t23) (tptp.p__less__ @t2 @t24))) % 0.38/0.59 (assume @p15 (forall (@list @t23) (tptp.p__less__ @t24 tptp.c__supremum__))) % 0.38/0.59 (assume @p16 (>= tptp.n_i 0)) % 0.38/0.59 (assume @p17 (forall @t34 (=> (exists (@list @t33) (tptp.s @t33 @t28)) @t32))) % 0.38/0.59 (assume @p18 (forall @t48 (= (tptp.covered @t46) (exists @t47 (and (= @t46 @t33) @t45 @t41))))) % 0.38/0.59 (assume @p19 (forall (@list @t38 @t49 @t33) (=> (and (exists @t40 (and @t43 @t50 (not (= @t36 @t35)))) @t45 (exists @t44 (and (= @t36 @t49) @t42)) @t41 (exists @t40 (and @t39 @t50 @t37))) false))) % 0.38/0.59 (assume @p20 (forall @t47 (=> (and @t41 (exists @t44 (and @t39 (not (tptp.covered @t36))))) false))) % 0.38/0.59 (assume @p21 @t64) % 0.38/0.59 (assume @p22 @t68) % 0.38/0.59 (assume @p23 true) % 0.38/0.59 (step @p24 :rule bool-impl-elim :args (@t65 @t75)) % 0.38/0.59 (step @p25 :rule cong :premises (@p24) :args ((forall @t34 (=> @t65 @t75)))) % 0.38/0.59 (step @p26 :rule aci_norm :args ((= (or @t73 (or @t72 @t71)) @t74))) % 0.38/0.59 (step @p27 :rule bool-and-de-morgan :args (@t26 @t70 true)) % 0.38/0.59 (step @p28 :rule refl :args (@t73)) % 0.38/0.59 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t73 (not (and @t26 @t70))))) % 0.38/0.59 (step @p30 :rule bool-and-de-morgan :args (@t29 @t26 (and @t70))) % 0.38/0.59 (step @p31 :rule trans :premises (@p30 @p29)) % 0.38/0.59 (step @p32 :rule trans :premises (@p31 @p26)) % 0.38/0.59 (step @p33 :rule cong :premises (@p32) :args (@t77)) % 0.38/0.59 (step @p34 :rule cong :premises (@p33) :args (@t78)) % 0.38/0.59 (step @p35 :rule exists-elim :args ((= (exists @t31 @t76) @t78))) % 0.38/0.59 (step @p36 :rule trans :premises (@p35 @p34)) % 0.38/0.59 (step @p37 :rule arith_poly_norm :args ((= (* 1 (- tptp.n_i @t25)) (* 1 (- @t69 0))))) % 0.38/0.59 (step @p38 :rule arith_poly_norm_rel :premises (@p37) :args ((= (>= tptp.n_i @t25) @t70))) % 0.38/0.59 (step @p39 :rule arith-elim-leq :args (@t25 tptp.n_i)) % 0.38/0.59 (step @p40 :rule trans :premises (@p39 @p38)) % 0.38/0.59 (step @p41 :rule refl :args (@t26)) % 0.38/0.59 (step @p42 :rule refl :args (@t29)) % 0.38/0.59 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40) :args (@t30)) % 0.38/0.59 (step @p44 :rule cong :premises (@p43) :args (@t32)) % 0.38/0.59 (step @p45 :rule trans :premises (@p44 @p36)) % 0.38/0.59 (step @p46 :rule refl :args (@t65)) % 0.38/0.59 (step @p47 :rule cong :premises (@p46 @p45) :args (@t66)) % 0.38/0.59 (step @p48 :rule cong :premises (@p47) :args (@t67)) % 0.38/0.59 (step @p49 :rule trans :premises (@p48 @p25)) % 0.38/0.59 (step @p50 :rule cong :premises (@p49) :args (@t68)) % 0.38/0.59 (step @p51 :rule eq_resolve :premises (@p22 @p50)) % 0.38/0.59 (step @p52 :rule refl :args (@t86)) % 0.38/0.59 (step @p53 :rule bool-double-not-elim :args (@t79)) % 0.38/0.59 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t87) @t86))) % 0.38/0.59 (step @p55 :rule refl :args (@t71)) % 0.38/0.59 (step @p56 :rule refl :args (@t72)) % 0.38/0.59 (step @p57 :rule eq-symm :args (@t80 @t27)) % 0.38/0.59 (step @p58 :rule cong :premises (@p57) :args (@t88)) % 0.38/0.59 (step @p59 :rule nary_cong :premises (@p58 @p56 @p55) :args (@t89)) % 0.38/0.59 (step @p60 :rule cong :premises (@p59) :args (@t90)) % 0.38/0.59 (step @p61 :rule cong :premises (@p60) :args (@t91)) % 0.38/0.59 (step @p62 :rule refl :args (@t84)) % 0.38/0.59 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t92)) % 0.38/0.59 (step @p64 :rule cong :premises (@p63) :args (@t93)) % 0.38/0.59 (step @p65 :rule refl :args (@t87)) % 0.38/0.59 (step @p66 :rule cong :premises (@p65 @p64) :args ((=> @t87 @t93))) % 0.38/0.59 (assume-push @p214 @t87) % 0.38/0.59 (step @p68 :rule skolemize :premises (@p51)) % 0.38/0.59 (step-pop @p215 :rule scope :premises (@p68)) % 0.38/0.59 (step @p69 :rule process_scope :premises (@p215) :args (@t93)) % 0.38/0.59 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 0.38/0.59 (step @p72 :rule implies_elim :premises (@p71)) % 0.38/0.59 (step @p73 :rule eq_resolve :premises (@p72 @p54)) % 0.38/0.59 (step @p74 :rule chain_m_resolution :premises (@p73 @p51) :args (@t86 @t94 (@list @t79))) % 0.38/0.59 (step @p75 :rule bool-double-not-elim :args (@t83)) % 0.38/0.59 (step @p76 :rule refl :args (@t85)) % 0.38/0.59 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t85 (not @t84)))) % 0.38/0.59 (step @p78 :rule cnf_or_neg :args (@t85 0)) % 0.38/0.59 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.38/0.59 (step @p80 :rule reordering :premises (@p79) :args ((or @t83 @t85))) % 0.38/0.59 (step @p81 :rule chain_m_resolution :premises (@p80 @p74) :args (@t83 @t94 @t95)) % 0.38/0.59 (step @p82 :rule bool-double-not-elim :args (@t51)) % 0.38/0.59 (step @p83 :rule aci_norm :args ((= (or false @t99 @t98 @t97) @t100))) % 0.38/0.59 (step @p84 :rule refl :args (@t97)) % 0.38/0.59 (step @p85 :rule refl :args (@t98)) % 0.38/0.59 (step @p86 :rule refl :args (@t99)) % 0.38/0.59 (step @p87 :rule evaluate :args ((not true))) % 0.38/0.59 (step @p88 :rule eq-refl :args (tptp.n_i)) % 0.38/0.59 (step @p89 :rule cong :premises (@p88) :args (@t101)) % 0.38/0.59 (step @p90 :rule trans :premises (@p89 @p87)) % 0.38/0.59 (step @p91 :rule nary_cong :premises (@p90 @p86 @p85 @p84) :args (@t102)) % 0.38/0.59 (step @p92 :rule trans :premises (@p91 @p83)) % 0.38/0.59 (step @p93 :rule cong :premises (@p92) :args ((forall @t103 @t102))) % 0.38/0.59 (step @p94 :rule quant-var-elim-eq :args ((= (forall @t109 (or (not @t57) @t108 @t99 @t98 @t106)) @t102))) % 0.38/0.59 (step @p95 :rule refl :args (@t106)) % 0.38/0.59 (step @p96 :rule refl :args (@t98)) % 0.38/0.59 (step @p97 :rule refl :args (@t99)) % 0.38/0.59 (step @p98 :rule refl :args (@t108)) % 0.38/0.59 (step @p99 :rule arith_poly_norm :args ((= @t111 @t110))) % 0.38/0.59 (step @p100 :rule arith_poly_norm_rel :premises (@p99) :args ((= @t107 @t57))) % 0.38/0.59 (step @p101 :rule cong :premises (@p100) :args (@t108)) % 0.38/0.59 (step @p102 :rule nary_cong :premises (@p101 @p98 @p97 @p96 @p95) :args (@t112)) % 0.38/0.59 (step @p103 :rule aci_norm :args ((= @t113 @t112))) % 0.38/0.59 (step @p104 :rule trans :premises (@p103 @p102)) % 0.38/0.59 (step @p105 :rule cong :premises (@p104) :args (@t114)) % 0.38/0.59 (step @p106 :rule trans :premises (@p105 @p94)) % 0.38/0.59 (step @p107 :rule cong :premises (@p106) :args (@t115)) % 0.38/0.59 (step @p108 :rule quant-merge-prenex :args ((= @t115 @t116))) % 0.38/0.59 (step @p109 :rule symm :premises (@p108)) % 0.38/0.59 (step @p110 :rule quant_var_reordering :args ((= (forall @t117 @t113) @t116))) % 0.38/0.59 (step @p111 :rule trans :premises (@p110 @p109 @p107)) % 0.38/0.59 (step @p112 :rule trans :premises (@p111 @p93)) % 0.38/0.59 (step @p113 :rule aci_norm :args ((= (or false @t108 @t99 @t98 @t106) @t113))) % 0.38/0.59 (step @p114 :rule refl :args (@t106)) % 0.38/0.59 (step @p115 :rule arith_poly_norm :args ((= (* -1 (- 1 @t119)) (* -1 (- @t118 1))))) % 0.38/0.59 (step @p116 :rule arith_poly_norm_rel :premises (@p115) :args ((= (>= 1 @t119) @t120))) % 0.38/0.59 (step @p117 :rule arith-geq-tighten :args (@t54 1)) % 0.38/0.59 (step @p118 :rule trans :premises (@p117 @p116)) % 0.38/0.59 (step @p119 :rule symm :premises (@p118)) % 0.38/0.59 (step @p120 :rule refl :args (@t108)) % 0.38/0.59 (step @p121 :rule evaluate :args (@t121)) % 0.38/0.59 (step @p122 :rule cong :premises (@p121) :args (@t122)) % 0.38/0.59 (step @p123 :rule trans :premises (@p122 @p87)) % 0.38/0.59 (step @p124 :rule nary_cong :premises (@p123 @p120 @p86 @p119 @p114) :args (@t123)) % 0.38/0.59 (step @p125 :rule trans :premises (@p124 @p113)) % 0.38/0.59 (step @p126 :rule cong :premises (@p125) :args ((forall @t117 @t123))) % 0.38/0.59 (step @p127 :rule trans :premises (@p126 @p112)) % 0.38/0.59 (step @p128 :rule quant-var-elim-eq :args ((= (forall @t31 @t127) @t123))) % 0.38/0.59 (step @p129 :rule aci_norm :args ((= @t128 @t127))) % 0.38/0.59 (step @p130 :rule cong :premises (@p129) :args (@t129)) % 0.38/0.59 (step @p131 :rule trans :premises (@p130 @p128)) % 0.38/0.59 (step @p132 :rule cong :premises (@p131) :args (@t130)) % 0.38/0.59 (step @p133 :rule quant-merge-prenex :args ((= @t130 @t131))) % 0.38/0.59 (step @p134 :rule symm :premises (@p133)) % 0.38/0.59 (step @p135 :rule quant_var_reordering :args ((= (forall @t60 @t128) @t131))) % 0.38/0.59 (step @p136 :rule trans :premises (@p135 @p134 @p132)) % 0.38/0.59 (step @p137 :rule trans :premises (@p136 @p127)) % 0.38/0.59 (step @p138 :rule bool-double-not-elim :args (@t125)) % 0.38/0.59 (step @p139 :rule refl :args (@t126)) % 0.38/0.59 (step @p140 :rule nary_cong :premises (@p139 @p98 @p97 @p138 @p95) :args (@t134)) % 0.38/0.59 (step @p141 :rule aci_norm :args ((= (or @t126 (or @t108 (or @t99 (or @t133 @t106)))) @t134))) % 0.38/0.59 (step @p142 :rule trans :premises (@p141 @p140)) % 0.38/0.59 (step @p143 :rule bool-and-de-morgan :args (@t132 @t105 true)) % 0.38/0.59 (step @p144 :rule nary_cong :premises (@p97 @p143) :args ((or @t99 (not (and @t132 @t105))))) % 0.38/0.59 (step @p145 :rule bool-and-de-morgan :args (@t56 @t132 (and @t105))) % 0.38/0.59 (step @p146 :rule trans :premises (@p145 @p144)) % 0.38/0.59 (step @p147 :rule nary_cong :premises (@p98 @p146) :args ((or @t108 (not (and @t56 @t132 @t105))))) % 0.38/0.59 (step @p148 :rule bool-and-de-morgan :args (@t107 @t56 (and @t132 @t105))) % 0.38/0.59 (step @p149 :rule trans :premises (@p148 @p147)) % 0.38/0.59 (step @p150 :rule nary_cong :premises (@p139 @p149) :args ((or @t126 (not (and @t107 @t56 @t132 @t105))))) % 0.38/0.59 (step @p151 :rule bool-and-de-morgan :args (@t58 @t107 (and @t56 @t132 @t105))) % 0.38/0.59 (step @p152 :rule trans :premises (@p151 @p150)) % 0.38/0.59 (step @p153 :rule trans :premises (@p152 @p142)) % 0.38/0.59 (step @p154 :rule cong :premises (@p153) :args (@t136)) % 0.38/0.59 (step @p155 :rule trans :premises (@p154 @p137)) % 0.38/0.59 (step @p156 :rule cong :premises (@p155) :args (@t137)) % 0.38/0.59 (step @p157 :rule exists-elim :args ((= (exists @t60 @t135) @t137))) % 0.38/0.59 (step @p158 :rule trans :premises (@p157 @p156)) % 0.38/0.59 (step @p159 :rule arith_poly_norm :args ((= (* 1 (- @t53 @t54)) (* 1 (- @t104 0))))) % 0.38/0.59 (step @p160 :rule arith_poly_norm_rel :premises (@p159) :args ((= (>= @t53 @t54) @t105))) % 0.38/0.59 (step @p161 :rule arith-elim-leq :args (@t54 @t53)) % 0.38/0.59 (step @p162 :rule trans :premises (@p161 @p160)) % 0.38/0.59 (step @p163 :rule arith_poly_norm :args ((= (* -1 (- @t25 @t119)) (* -1 (- @t124 1))))) % 0.38/0.59 (step @p164 :rule arith_poly_norm_rel :premises (@p163) :args ((= @t138 @t125))) % 0.38/0.59 (step @p165 :rule cong :premises (@p164) :args ((not @t138))) % 0.38/0.59 (step @p166 :rule arith-leq-norm :args (@t25 @t54)) % 0.38/0.59 (step @p167 :rule trans :premises (@p166 @p165)) % 0.38/0.59 (step @p168 :rule refl :args (@t56)) % 0.38/0.59 (step @p169 :rule arith_poly_norm :args ((= @t110 @t111))) % 0.38/0.59 (step @p170 :rule arith_poly_norm_rel :premises (@p169) :args ((= @t57 @t107))) % 0.38/0.59 (step @p171 :rule refl :args (@t58)) % 0.38/0.59 (step @p172 :rule nary_cong :premises (@p171 @p170 @p168 @p167 @p162) :args (@t59)) % 0.38/0.59 (step @p173 :rule cong :premises (@p172) :args (@t61)) % 0.38/0.59 (step @p174 :rule trans :premises (@p173 @p158)) % 0.38/0.59 (step @p175 :rule nary_cong :premises (@p174 @p82) :args (@t139)) % 0.38/0.59 (step @p176 :rule aci_norm :args ((= @t62 @t139))) % 0.38/0.59 (step @p177 :rule trans :premises (@p176 @p175)) % 0.38/0.59 (step @p178 :rule refl :args (@t51)) % 0.38/0.59 (step @p179 :rule cong :premises (@p178 @p177) :args (@t63)) % 0.38/0.59 (step @p180 :rule cong :premises (@p179) :args (@t64)) % 0.38/0.59 (step @p181 :rule eq_resolve :premises (@p21 @p180)) % 0.38/0.59 (step @p182 :rule refl :args (@t83)) % 0.38/0.59 (step @p183 :rule eq-symm :args (@t80 @t55)) % 0.38/0.59 (step @p184 :rule cong :premises (@p183) :args (@t140)) % 0.38/0.59 (step @p185 :rule nary_cong :premises (@p184 @p85 @p84) :args (@t141)) % 0.38/0.59 (step @p186 :rule cong :premises (@p185) :args (@t142)) % 0.38/0.59 (step @p187 :rule cong :premises (@p186) :args (@t143)) % 0.38/0.59 (step @p188 :rule nary_cong :premises (@p187 @p182) :args (@t144)) % 0.38/0.59 (step @p189 :rule cong :premises (@p182 @p188) :args (@t145)) % 0.38/0.59 (step @p190 :rule refl :args (@t146)) % 0.38/0.59 (step @p191 :rule cong :premises (@p190 @p189) :args ((=> @t146 @t145))) % 0.38/0.59 (assume-push @p216 @t146) % 0.38/0.59 (step @p193 :rule instantiate :premises (@p181) :args ((@list @t80))) % 0.38/0.59 (step-pop @p217 :rule scope :premises (@p193)) % 0.38/0.59 (step @p194 :rule process_scope :premises (@p217) :args (@t145)) % 0.38/0.59 (step @p196 :rule eq_resolve :premises (@p194 @p191)) % 0.38/0.59 (step @p197 :rule implies_elim :premises (@p196)) % 0.38/0.59 (step @p198 :rule chain_m_resolution :premises (@p197 @p181) :args (@t150 @t151 (@list @t146))) % 0.38/0.59 (step @p199 :rule bool-double-not-elim :args (@t81)) % 0.38/0.59 (step @p200 :rule nary_cong :premises (@p76 @p199) :args ((or @t85 (not @t82)))) % 0.38/0.59 (step @p201 :rule cnf_or_neg :args (@t85 1)) % 0.38/0.59 (step @p202 :rule eq_resolve :premises (@p201 @p200)) % 0.38/0.59 (step @p203 :rule reordering :premises (@p202) :args ((or @t81 @t85))) % 0.38/0.59 (step @p204 :rule chain_m_resolution :premises (@p203 @p74) :args (@t81 @t94 @t95)) % 0.38/0.59 (step @p205 :rule alpha_equiv :args (@t81 (@list @t25) (@list @t54))) % 0.38/0.59 (step @p206 :rule equiv_elim1 :premises (@p205)) % 0.38/0.59 (step @p207 :rule chain_m_resolution :premises (@p206 @p204) :args (@t147 @t151 (@list @t81))) % 0.38/0.59 (step @p208 :rule cnf_and_pos :args (@t149 0)) % 0.38/0.59 (step @p209 :rule reordering :premises (@p208) :args ((or @t148 @t152))) % 0.38/0.59 (step @p210 :rule chain_m_resolution :premises (@p209 @p207) :args (@t152 @t151 (@list @t147))) % 0.38/0.59 (step @p211 :rule cnf_equiv_pos1 :args (@t150)) % 0.38/0.59 (step @p212 :rule reordering :premises (@p211) :args ((or @t84 @t149 (not @t150)))) % 0.38/0.59 (step @p213 false :rule chain_m_resolution :premises (@p212 @p210 @p198 @p81) :args (false (@list true false false) (@list @t149 @t150 @t83))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------