%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI583_1 : TPTP v9.2.1. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:07:55 AM UTC 2026 % Result : Theorem 0.41s 0.59s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : ARI583_1 : TPTP v9.2.1. Released v5.1.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n022.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 : Wed Jun 3 02:29:39 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_ARI % 0.41/0.59 --- Run --finite-model-find --decision=internal at 45... % 0.41/0.59 % SZS status Theorem % 0.41/0.59 % SZS output start Proof % 0.41/0.59 ( % 0.41/0.59 (define @t1 () (@var "W" Int)) % 0.41/0.59 (define @t2 () (@var "Z" Int)) % 0.41/0.59 (define @t3 () (@var "Y" Int)) % 0.41/0.59 (define @t4 () (+ (+ @t3 @t2) @t1)) % 0.41/0.59 (define @t5 () (@var "X" Int)) % 0.41/0.59 (define @t6 () (+ @t5 @t1)) % 0.41/0.59 (define @t7 () (and (< @t6 4) (< 3 @t4))) % 0.41/0.59 (define @t8 () (@list @t1)) % 0.41/0.59 (define @t9 () (exists @t8 @t7)) % 0.41/0.59 (define @t10 () (or (< @t5 @t3) (< @t5 @t2))) % 0.41/0.59 (define @t11 () (and (< 0 @t5) (<= 0 @t3) (<= 0 @t2) @t10)) % 0.41/0.59 (define @t12 () (=> @t11 @t9)) % 0.41/0.59 (define @t13 () (@list @t5 @t3 @t2)) % 0.41/0.59 (define @t14 () (forall @t13 @t12)) % 0.41/0.59 (define @t15 () (not @t14)) % 0.41/0.59 (define @t16 () (+ @t3 @t2 @t1)) % 0.41/0.59 (define @t17 () (>= @t16 4)) % 0.41/0.59 (define @t18 () (not @t17)) % 0.41/0.59 (define @t19 () (>= @t6 4)) % 0.41/0.59 (define @t20 () (not (forall @t8 (or @t19 @t18)))) % 0.41/0.59 (define @t21 () (+ @t5 (* -1 @t2))) % 0.41/0.59 (define @t22 () (>= @t21 0)) % 0.41/0.59 (define @t23 () (+ @t5 (* -1 @t3))) % 0.41/0.59 (define @t24 () (>= @t23 0)) % 0.41/0.59 (define @t25 () (and @t24 @t22)) % 0.41/0.59 (define @t26 () (>= @t2 0)) % 0.41/0.59 (define @t27 () (not @t26)) % 0.41/0.59 (define @t28 () (>= @t3 0)) % 0.41/0.59 (define @t29 () (not @t28)) % 0.41/0.59 (define @t30 () (>= @t5 1)) % 0.41/0.59 (define @t31 () (not @t30)) % 0.41/0.59 (define @t32 () (or @t31 @t29 @t27 @t25 @t20)) % 0.41/0.59 (define @t33 () (not @t22)) % 0.41/0.59 (define @t34 () (not @t24)) % 0.41/0.59 (define @t35 () (or @t34 @t33)) % 0.41/0.59 (define @t36 () (not @t35)) % 0.41/0.59 (define @t37 () (or @t31 @t29 @t27 @t36)) % 0.41/0.59 (define @t38 () (and @t30 @t28 @t26 @t35)) % 0.41/0.59 (define @t39 () (not @t19)) % 0.41/0.59 (define @t40 () (and @t39 @t17)) % 0.41/0.59 (define @t41 () (forall @t8 (not @t40))) % 0.41/0.59 (define @t42 () (not @t41)) % 0.41/0.59 (define @t43 () (+ @t16 1)) % 0.41/0.59 (define @t44 () (+ @t1 @t2 @t3)) % 0.41/0.59 (define @t45 () (>= 3 @t4)) % 0.41/0.59 (define @t46 () (>= @t5 @t2)) % 0.41/0.59 (define @t47 () (>= @t5 @t3)) % 0.41/0.59 (define @t48 () (+ @t5 1)) % 0.41/0.59 (define @t49 () (>= 0 @t5)) % 0.41/0.59 (define @t50 () (forall @t13 @t32)) % 0.41/0.59 (define @t51 () (@quantifiers_skolemize @t50 2)) % 0.41/0.59 (define @t52 () (@quantifiers_skolemize @t50 1)) % 0.41/0.59 (define @t53 () (+ @t1 @t52 @t51)) % 0.41/0.59 (define @t54 () (@quantifiers_skolemize @t50 0)) % 0.41/0.59 (define @t55 () (+ @t1 @t54)) % 0.41/0.59 (define @t56 () (forall @t8 (or (>= @t55 4) (not (>= @t53 4))))) % 0.41/0.59 (define @t57 () (not @t56)) % 0.41/0.59 (define @t58 () (* -1 @t51)) % 0.41/0.59 (define @t59 () (+ @t54 @t58)) % 0.41/0.59 (define @t60 () (>= @t59 0)) % 0.41/0.59 (define @t61 () (* -1 @t52)) % 0.41/0.59 (define @t62 () (+ @t54 @t61)) % 0.41/0.59 (define @t63 () (>= @t62 0)) % 0.41/0.59 (define @t64 () (and @t63 @t60)) % 0.41/0.59 (define @t65 () (>= @t51 0)) % 0.41/0.59 (define @t66 () (not @t65)) % 0.41/0.59 (define @t67 () (>= @t52 0)) % 0.41/0.59 (define @t68 () (not @t67)) % 0.41/0.59 (define @t69 () (not (>= @t54 1))) % 0.41/0.59 (define @t70 () (or @t69 @t68 @t66 @t64 @t57)) % 0.41/0.59 (define @t71 () (not @t70)) % 0.41/0.59 (define @t72 () (not @t50)) % 0.41/0.59 (define @t73 () (+ @t52 @t51 @t1)) % 0.41/0.59 (define @t74 () (>= @t73 4)) % 0.41/0.59 (define @t75 () (not @t74)) % 0.41/0.59 (define @t76 () (+ @t54 @t1)) % 0.41/0.59 (define @t77 () (>= @t76 4)) % 0.41/0.59 (define @t78 () (or @t77 @t75)) % 0.41/0.59 (define @t79 () (forall @t8 @t78)) % 0.41/0.59 (define @t80 () (not @t79)) % 0.41/0.59 (define @t81 () (or @t69 @t68 @t66 @t64 @t80)) % 0.41/0.59 (define @t82 () (not @t81)) % 0.41/0.59 (define @t83 () (@list true)) % 0.41/0.59 (define @t84 () (@list @t70)) % 0.41/0.59 (define @t85 () (+ @t54 @t61 @t58)) % 0.41/0.59 (define @t86 () (>= @t85 0)) % 0.41/0.59 (define @t87 () (* -1 @t54)) % 0.41/0.59 (define @t88 () (+ 3 @t87 @t52 @t51)) % 0.41/0.59 (define @t89 () (+ @t85 1)) % 0.41/0.59 (define @t90 () (+ @t87 @t51 @t52 3)) % 0.41/0.59 (define @t91 () (+ 3 @t87)) % 0.41/0.59 (define @t92 () (+ @t91 @t52 @t51)) % 0.41/0.59 (define @t93 () (>= @t92 4)) % 0.41/0.59 (define @t94 () (not @t93)) % 0.41/0.59 (define @t95 () (+ @t87 @t54 3)) % 0.41/0.59 (define @t96 () (+ @t91 @t54)) % 0.41/0.59 (define @t97 () (>= @t96 4)) % 0.41/0.59 (define @t98 () (or @t97 @t94)) % 0.41/0.59 (define @t99 () (not @t86)) % 0.41/0.59 (define @t100 () (not @t60)) % 0.41/0.59 (define @t101 () (not true)) % 0.41/0.59 (define @t102 () (>= 0 0)) % 0.41/0.59 (define @t103 () (+ 0 0 0)) % 0.41/0.59 (define @t104 () (* -1 0)) % 0.41/0.59 (define @t105 () (+ 0 @t104 @t104)) % 0.41/0.59 (define @t106 () (* 0 @t54)) % 0.41/0.59 (define @t107 () (= @t106 0)) % 0.41/0.59 (define @t108 () (* 0 @t52)) % 0.41/0.59 (define @t109 () (= @t108 0)) % 0.41/0.59 (define @t110 () (* 0 @t51)) % 0.41/0.59 (define @t111 () (= @t110 0)) % 0.41/0.59 (define @t112 () (+ @t110 @t108 @t106)) % 0.41/0.59 (define @t113 () (* -1 @t85)) % 0.41/0.59 (define @t114 () (+ @t59 @t113 @t61)) % 0.41/0.59 (define @t115 () (>= @t114 @t105)) % 0.41/0.59 (define @t116 () (< -1 0)) % 0.41/0.59 (define @t117 () (not @t63)) % 0.41/0.59 (define @t118 () (+ @t104 @t104 0)) % 0.41/0.59 (define @t119 () (+ @t58 @t113 @t62)) % 0.41/0.59 (define @t120 () (>= @t119 @t118)) % 0.41/0.59 (define @t121 () (and @t117 @t86 @t65)) % 0.41/0.59 (assume @p1 @t15) % 0.41/0.59 (assume @p2 true) % 0.41/0.59 (step @p3 :rule aci_norm :args ((= (or (or @t31 @t29 @t27 @t25) @t20) @t32))) % 0.41/0.59 (step @p4 :rule refl :args (@t20)) % 0.41/0.59 (step @p5 :rule bool-double-not-elim :args (@t22)) % 0.41/0.59 (step @p6 :rule bool-double-not-elim :args (@t24)) % 0.41/0.59 (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((and (not @t34) (not @t33)))) % 0.41/0.59 (step @p8 :rule bool-or-de-morgan :args (@t34 @t33 false)) % 0.41/0.59 (step @p9 :rule trans :premises (@p8 @p7)) % 0.41/0.59 (step @p10 :rule refl :args (@t27)) % 0.41/0.59 (step @p11 :rule refl :args (@t29)) % 0.41/0.59 (step @p12 :rule refl :args (@t31)) % 0.41/0.59 (step @p13 :rule nary_cong :premises (@p12 @p11 @p10 @p9) :args (@t37)) % 0.41/0.59 (step @p14 :rule aci_norm :args ((= (or @t31 (or @t29 (or @t27 @t36))) @t37))) % 0.41/0.59 (step @p15 :rule bool-and-de-morgan :args (@t26 @t35 true)) % 0.41/0.59 (step @p16 :rule nary_cong :premises (@p11 @p15) :args ((or @t29 (not (and @t26 @t35))))) % 0.41/0.59 (step @p17 :rule bool-and-de-morgan :args (@t28 @t26 (and @t35))) % 0.41/0.59 (step @p18 :rule trans :premises (@p17 @p16)) % 0.41/0.59 (step @p19 :rule nary_cong :premises (@p12 @p18) :args ((or @t31 (not (and @t28 @t26 @t35))))) % 0.41/0.59 (step @p20 :rule bool-and-de-morgan :args (@t30 @t28 (and @t26 @t35))) % 0.41/0.59 (step @p21 :rule trans :premises (@p20 @p19)) % 0.41/0.59 (step @p22 :rule trans :premises (@p21 @p14)) % 0.41/0.59 (step @p23 :rule trans :premises (@p22 @p13)) % 0.41/0.59 (step @p24 :rule nary_cong :premises (@p23 @p4) :args ((or (not @t38) @t20))) % 0.41/0.59 (step @p25 :rule trans :premises (@p24 @p3)) % 0.41/0.59 (step @p26 :rule bool-impl-elim :args (@t38 @t20)) % 0.41/0.59 (step @p27 :rule trans :premises (@p26 @p25)) % 0.41/0.59 (step @p28 :rule cong :premises (@p27) :args ((forall @t13 (=> @t38 @t20)))) % 0.41/0.59 (step @p29 :rule refl :args (@t18)) % 0.41/0.59 (step @p30 :rule bool-double-not-elim :args (@t19)) % 0.41/0.59 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or (not @t39) @t18))) % 0.41/0.59 (step @p32 :rule bool-and-de-morgan :args (@t39 @t17 true)) % 0.41/0.59 (step @p33 :rule trans :premises (@p32 @p31)) % 0.41/0.59 (step @p34 :rule cong :premises (@p33) :args (@t41)) % 0.41/0.59 (step @p35 :rule cong :premises (@p34) :args (@t42)) % 0.41/0.59 (step @p36 :rule exists-elim :args ((= (exists @t8 @t40) @t42))) % 0.41/0.59 (step @p37 :rule trans :premises (@p36 @p35)) % 0.41/0.59 (step @p38 :rule bool-double-not-elim :args (@t17)) % 0.41/0.59 (step @p39 :rule arith_poly_norm :args ((= (* 3 (- 4 @t43)) (* 3 (- 3 @t16))))) % 0.41/0.59 (step @p40 :rule arith_poly_norm_rel :premises (@p39) :args ((= (>= 4 @t43) (>= 3 @t16)))) % 0.41/0.59 (step @p41 :rule arith-geq-tighten :args (@t16 4)) % 0.41/0.59 (step @p42 :rule trans :premises (@p41 @p40)) % 0.41/0.59 (step @p43 :rule symm :premises (@p42)) % 0.41/0.59 (step @p44 :rule arith_poly_norm :args ((= @t44 @t16))) % 0.41/0.59 (step @p45 :rule arith_poly_norm :args ((= @t4 @t44))) % 0.41/0.59 (step @p46 :rule trans :premises (@p45 @p44)) % 0.41/0.59 (step @p47 :rule refl :args (3)) % 0.41/0.59 (step @p48 :rule cong :premises (@p47 @p46) :args (@t45)) % 0.41/0.59 (step @p49 :rule trans :premises (@p48 @p43)) % 0.41/0.59 (step @p50 :rule cong :premises (@p49) :args ((not @t45))) % 0.41/0.59 (step @p51 :rule trans :premises (@p50 @p38)) % 0.41/0.59 (step @p52 :rule arith-elim-lt :args (3 @t4)) % 0.41/0.59 (step @p53 :rule trans :premises (@p52 @p51)) % 0.41/0.59 (step @p54 :rule arith-elim-lt :args (@t6 4)) % 0.41/0.59 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t7)) % 0.41/0.59 (step @p56 :rule cong :premises (@p55) :args (@t9)) % 0.41/0.59 (step @p57 :rule trans :premises (@p56 @p37)) % 0.41/0.59 (step @p58 :rule arith_poly_norm :args ((= (* 1 (- @t5 @t2)) (* 1 (- @t21 0))))) % 0.41/0.59 (step @p59 :rule arith_poly_norm_rel :premises (@p58) :args ((= @t46 @t22))) % 0.41/0.59 (step @p60 :rule cong :premises (@p59) :args ((not @t46))) % 0.41/0.59 (step @p61 :rule arith-elim-lt :args (@t5 @t2)) % 0.41/0.59 (step @p62 :rule trans :premises (@p61 @p60)) % 0.41/0.59 (step @p63 :rule arith_poly_norm :args ((= (* 1 (- @t5 @t3)) (* 1 (- @t23 0))))) % 0.41/0.59 (step @p64 :rule arith_poly_norm_rel :premises (@p63) :args ((= @t47 @t24))) % 0.41/0.59 (step @p65 :rule cong :premises (@p64) :args ((not @t47))) % 0.41/0.59 (step @p66 :rule arith-elim-lt :args (@t5 @t3)) % 0.41/0.59 (step @p67 :rule trans :premises (@p66 @p65)) % 0.41/0.59 (step @p68 :rule nary_cong :premises (@p67 @p62) :args (@t10)) % 0.41/0.59 (step @p69 :rule arith-elim-leq :args (0 @t2)) % 0.41/0.59 (step @p70 :rule arith-elim-leq :args (0 @t3)) % 0.41/0.59 (step @p71 :rule bool-double-not-elim :args (@t30)) % 0.41/0.59 (step @p72 :rule arith_poly_norm :args ((= (* -1 (- 1 @t48)) (* -1 (- 0 @t5))))) % 0.41/0.59 (step @p73 :rule arith_poly_norm_rel :premises (@p72) :args ((= (>= 1 @t48) @t49))) % 0.41/0.59 (step @p74 :rule arith-geq-tighten :args (@t5 1)) % 0.41/0.59 (step @p75 :rule trans :premises (@p74 @p73)) % 0.41/0.59 (step @p76 :rule symm :premises (@p75)) % 0.41/0.59 (step @p77 :rule cong :premises (@p76) :args ((not @t49))) % 0.41/0.59 (step @p78 :rule trans :premises (@p77 @p71)) % 0.41/0.59 (step @p79 :rule arith-elim-lt :args (0 @t5)) % 0.41/0.59 (step @p80 :rule trans :premises (@p79 @p78)) % 0.41/0.59 (step @p81 :rule nary_cong :premises (@p80 @p70 @p69 @p68) :args (@t11)) % 0.41/0.59 (step @p82 :rule cong :premises (@p81 @p57) :args (@t12)) % 0.41/0.59 (step @p83 :rule cong :premises (@p82) :args (@t14)) % 0.41/0.59 (step @p84 :rule trans :premises (@p83 @p28)) % 0.41/0.59 (step @p85 :rule cong :premises (@p84) :args (@t15)) % 0.41/0.59 (step @p86 :rule eq_resolve :premises (@p1 @p85)) % 0.41/0.59 (step @p87 :rule refl :args (@t71)) % 0.41/0.59 (step @p88 :rule bool-double-not-elim :args (@t50)) % 0.41/0.59 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or (not @t72) @t71))) % 0.41/0.59 (step @p90 :rule refl :args (4)) % 0.41/0.59 (step @p91 :rule arith_poly_norm :args ((= @t73 @t53))) % 0.41/0.59 (step @p92 :rule cong :premises (@p91 @p90) :args (@t74)) % 0.41/0.59 (step @p93 :rule cong :premises (@p92) :args (@t75)) % 0.41/0.59 (step @p94 :rule arith_poly_norm :args ((= @t76 @t55))) % 0.41/0.59 (step @p95 :rule cong :premises (@p94 @p90) :args (@t77)) % 0.41/0.59 (step @p96 :rule nary_cong :premises (@p95 @p93) :args (@t78)) % 0.41/0.59 (step @p97 :rule cong :premises (@p96) :args (@t79)) % 0.41/0.59 (step @p98 :rule cong :premises (@p97) :args (@t80)) % 0.41/0.59 (step @p99 :rule refl :args (@t64)) % 0.41/0.59 (step @p100 :rule refl :args (@t66)) % 0.41/0.59 (step @p101 :rule refl :args (@t68)) % 0.41/0.59 (step @p102 :rule refl :args (@t69)) % 0.41/0.59 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100 @p99 @p98) :args (@t81)) % 0.41/0.59 (step @p104 :rule cong :premises (@p103) :args (@t82)) % 0.41/0.59 (step @p105 :rule refl :args (@t72)) % 0.41/0.59 (step @p106 :rule cong :premises (@p105 @p104) :args ((=> @t72 @t82))) % 0.41/0.59 (assume-push @p264 @t72) % 0.41/0.59 (step @p108 :rule skolemize :premises (@p86)) % 0.41/0.59 (step-pop @p265 :rule scope :premises (@p108)) % 0.41/0.59 (step @p109 :rule process_scope :premises (@p265) :args (@t82)) % 0.41/0.59 (step @p111 :rule eq_resolve :premises (@p109 @p106)) % 0.41/0.59 (step @p112 :rule implies_elim :premises (@p111)) % 0.41/0.59 (step @p113 :rule eq_resolve :premises (@p112 @p89)) % 0.41/0.59 (step @p114 :rule chain_m_resolution :premises (@p113 @p86) :args (@t71 @t83 (@list @t50))) % 0.41/0.59 (step @p115 :rule bool-double-not-elim :args (@t65)) % 0.41/0.59 (step @p116 :rule refl :args (@t70)) % 0.41/0.59 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or @t70 (not @t66)))) % 0.41/0.59 (step @p118 :rule cnf_or_neg :args (@t70 2)) % 0.41/0.59 (step @p119 :rule eq_resolve :premises (@p118 @p117)) % 0.41/0.59 (step @p120 :rule reordering :premises (@p119) :args ((or @t65 @t70))) % 0.41/0.59 (step @p121 :rule chain_m_resolution :premises (@p120 @p114) :args (@t65 @t83 @t84)) % 0.41/0.59 (step @p122 :rule bool-double-not-elim :args (@t56)) % 0.41/0.59 (step @p123 :rule nary_cong :premises (@p116 @p122) :args ((or @t70 (not @t57)))) % 0.41/0.59 (step @p124 :rule cnf_or_neg :args (@t70 4)) % 0.41/0.59 (step @p125 :rule eq_resolve :premises (@p124 @p123)) % 0.41/0.59 (step @p126 :rule reordering :premises (@p125) :args ((or @t56 @t70))) % 0.41/0.59 (step @p127 :rule chain_m_resolution :premises (@p126 @p114) :args (@t56 @t83 @t84)) % 0.41/0.59 (step @p128 :rule aci_norm :args ((= (or false @t86) @t86))) % 0.41/0.59 (step @p129 :rule bool-double-not-elim :args (@t86)) % 0.41/0.59 (step @p130 :rule arith_poly_norm :args ((= (* -1 (- 0 @t89)) (* -1 (- @t88 4))))) % 0.41/0.59 (step @p131 :rule arith_poly_norm_rel :premises (@p130) :args ((= (>= 0 @t89) (>= @t88 4)))) % 0.41/0.59 (step @p132 :rule arith-geq-tighten :args (@t85 0)) % 0.41/0.59 (step @p133 :rule trans :premises (@p132 @p131)) % 0.41/0.59 (step @p134 :rule symm :premises (@p133)) % 0.41/0.59 (step @p135 :rule arith_poly_norm :args ((= @t90 @t88))) % 0.41/0.59 (step @p136 :rule arith_poly_norm :args ((= @t92 @t90))) % 0.41/0.59 (step @p137 :rule trans :premises (@p136 @p135)) % 0.41/0.59 (step @p138 :rule cong :premises (@p137 @p90) :args (@t93)) % 0.41/0.59 (step @p139 :rule trans :premises (@p138 @p134)) % 0.41/0.59 (step @p140 :rule cong :premises (@p139) :args (@t94)) % 0.41/0.59 (step @p141 :rule trans :premises (@p140 @p129)) % 0.41/0.59 (step @p142 :rule evaluate :args ((>= 3 4))) % 0.41/0.59 (step @p143 :rule arith_poly_norm :args ((= @t95 3))) % 0.41/0.59 (step @p144 :rule arith_poly_norm :args ((= @t96 @t95))) % 0.41/0.59 (step @p145 :rule trans :premises (@p144 @p143)) % 0.41/0.59 (step @p146 :rule cong :premises (@p145 @p90) :args (@t97)) % 0.41/0.59 (step @p147 :rule trans :premises (@p146 @p142)) % 0.41/0.59 (step @p148 :rule nary_cong :premises (@p147 @p141) :args (@t98)) % 0.41/0.59 (step @p149 :rule trans :premises (@p148 @p128)) % 0.41/0.59 (step @p150 :rule refl :args (@t56)) % 0.41/0.59 (step @p151 :rule cong :premises (@p150 @p149) :args ((=> @t56 @t98))) % 0.41/0.59 (assume-push @p266 @t56) % 0.41/0.59 (step @p153 :rule instantiate :premises (@p127) :args ((@list @t91))) % 0.41/0.59 (step-pop @p267 :rule scope :premises (@p153)) % 0.41/0.59 (step @p154 :rule process_scope :premises (@p267) :args (@t98)) % 0.41/0.59 (step @p156 :rule eq_resolve :premises (@p154 @p151)) % 0.41/0.59 (step @p157 :rule implies_elim :premises (@p156)) % 0.41/0.59 (step @p158 :rule chain_m_resolution :premises (@p157 @p127) :args (@t86 (@list false) (@list @t56))) % 0.41/0.59 (step @p159 :rule bool-double-not-elim :args (@t67)) % 0.41/0.59 (step @p160 :rule nary_cong :premises (@p116 @p159) :args ((or @t70 (not @t68)))) % 0.41/0.59 (step @p161 :rule cnf_or_neg :args (@t70 1)) % 0.41/0.59 (step @p162 :rule eq_resolve :premises (@p161 @p160)) % 0.41/0.59 (step @p163 :rule reordering :premises (@p162) :args ((or @t67 @t70))) % 0.41/0.59 (step @p164 :rule chain_m_resolution :premises (@p163 @p114) :args (@t67 @t83 @t84)) % 0.41/0.59 (step @p165 :rule bool-double-not-elim :args (@t60)) % 0.41/0.59 (step @p166 :rule refl :args (@t99)) % 0.41/0.59 (step @p167 :rule nary_cong :premises (@p166 @p101 @p165) :args ((or @t99 @t68 (not @t100)))) % 0.41/0.59 (assume-push @p268 @t86) % 0.41/0.59 (assume-push @p269 @t67) % 0.41/0.59 (assume-push @p270 @t100) % 0.41/0.59 (step @p171 :rule evaluate :args (@t101)) % 0.41/0.59 (step @p172 :rule evaluate :args (@t102)) % 0.41/0.59 (step @p173 :rule evaluate :args (@t103)) % 0.41/0.59 (step @p174 :rule evaluate :args (@t104)) % 0.41/0.59 (step @p175 :rule refl :args (0)) % 0.41/0.59 (step @p176 :rule nary_cong :premises (@p175 @p174 @p174) :args (@t105)) % 0.41/0.59 (step @p177 :rule trans :premises (@p176 @p173)) % 0.41/0.59 (step @p178 :rule arith_poly_norm :args (@t107)) % 0.41/0.59 (step @p179 :rule arith_poly_norm :args (@t109)) % 0.41/0.59 (step @p180 :rule arith_poly_norm :args (@t111)) % 0.41/0.59 (step @p181 :rule nary_cong :premises (@p180 @p179 @p178) :args (@t112)) % 0.41/0.59 (step @p182 :rule trans :premises (@p181 @p173)) % 0.41/0.59 (step @p183 :rule arith_poly_norm :args ((= @t114 @t112))) % 0.41/0.59 (step @p184 :rule trans :premises (@p183 @p182)) % 0.41/0.59 (step @p185 :rule cong :premises (@p184 @p177) :args (@t115)) % 0.41/0.59 (step @p186 :rule trans :premises (@p185 @p172)) % 0.41/0.59 (step @p187 :rule cong :premises (@p186) :args ((not @t115))) % 0.41/0.59 (step @p188 :rule trans :premises (@p187 @p171)) % 0.41/0.59 (step @p189 :rule arith-elim-lt :args (@t114 @t105)) % 0.41/0.59 (step @p190 :rule trans :premises (@p189 @p188)) % 0.41/0.59 (step @p191 :rule arith_mult_neg :args (-1 @t67)) % 0.41/0.59 (step @p192 :rule evaluate :args (@t116)) % 0.41/0.59 (step @p193 :rule true_elim :premises (@p192)) % 0.41/0.59 (step @p194 :rule and_intro :premises (@p193 @p164)) % 0.41/0.59 (step @p195 :rule modus_ponens :premises (@p194 @p191)) % 0.41/0.59 (step @p196 :rule arith_mult_neg :args (-1 @t86)) % 0.41/0.59 (step @p197 :rule and_intro :premises (@p193 @p158)) % 0.41/0.59 (step @p198 :rule modus_ponens :premises (@p197 @p196)) % 0.41/0.59 (step @p199 :rule arith-elim-lt :args (@t59 0)) % 0.41/0.59 (step @p200 :rule symm :premises (@p199)) % 0.41/0.59 (step @p201 :rule eq_resolve :premises (@p270 @p200)) % 0.41/0.59 (step @p202 :rule arith_sum_ub :premises (@p201 @p198 @p195)) % 0.41/0.59 (step @p203 false :rule eq_resolve :premises (@p202 @p190)) % 0.41/0.59 (step-pop @p271 :rule scope :premises (@p203)) % 0.41/0.59 (step-pop @p272 :rule scope :premises (@p271)) % 0.41/0.59 (step-pop @p273 :rule scope :premises (@p272)) % 0.41/0.59 (step @p204 :rule process_scope :premises (@p273) :args (false)) % 0.41/0.59 (step @p208 :rule not_and :premises (@p204)) % 0.41/0.59 (step @p209 :rule eq_resolve :premises (@p208 @p167)) % 0.41/0.59 (step @p210 :rule reordering :premises (@p209) :args ((or @t68 @t60 @t99))) % 0.41/0.59 (step @p211 :rule chain_m_resolution :premises (@p210 @p164 @p158) :args (@t60 (@list false false) (@list @t67 @t86))) % 0.41/0.59 (step @p212 :rule cnf_or_neg :args (@t70 3)) % 0.41/0.59 (step @p213 :rule chain_m_resolution :premises (@p212 @p114) :args ((not @t64) @t83 @t84)) % 0.41/0.59 (step @p214 :rule cnf_and_neg :args (@t64)) % 0.41/0.59 (step @p215 :rule chain_m_resolution :premises (@p214 @p213 @p211) :args (@t117 (@list true false) (@list @t64 @t60))) % 0.41/0.59 (step @p216 :rule bool-double-not-elim :args (@t63)) % 0.41/0.59 (step @p217 :rule nary_cong :premises (@p100 @p216 @p166) :args ((or @t66 (not @t117) @t99))) % 0.41/0.59 (assume-push @p274 @t117) % 0.41/0.59 (assume-push @p275 @t86) % 0.41/0.59 (assume-push @p276 @t65) % 0.41/0.59 (step @p221 :rule arith-elim-lt :args (@t51 0)) % 0.41/0.59 (step @p222 :rule symm :premises (@p221)) % 0.41/0.59 (assume-push @p277 @t65) % 0.41/0.59 (step @p171 :rule evaluate :args (@t101)) % 0.41/0.59 (step @p172 :rule evaluate :args (@t102)) % 0.41/0.59 (step @p173 :rule evaluate :args (@t103)) % 0.41/0.59 (step @p175 :rule refl :args (0)) % 0.41/0.59 (step @p174 :rule evaluate :args (@t104)) % 0.41/0.59 (step @p224 :rule nary_cong :premises (@p174 @p174 @p175) :args (@t118)) % 0.41/0.59 (step @p225 :rule trans :premises (@p224 @p173)) % 0.41/0.59 (step @p178 :rule arith_poly_norm :args (@t107)) % 0.41/0.59 (step @p179 :rule arith_poly_norm :args (@t109)) % 0.41/0.59 (step @p180 :rule arith_poly_norm :args (@t111)) % 0.41/0.59 (step @p181 :rule nary_cong :premises (@p180 @p179 @p178) :args (@t112)) % 0.41/0.59 (step @p182 :rule trans :premises (@p181 @p173)) % 0.41/0.59 (step @p226 :rule arith_poly_norm :args ((= @t119 @t112))) % 0.41/0.59 (step @p227 :rule trans :premises (@p226 @p182)) % 0.41/0.59 (step @p228 :rule cong :premises (@p227 @p225) :args (@t120)) % 0.41/0.59 (step @p229 :rule trans :premises (@p228 @p172)) % 0.41/0.59 (step @p230 :rule cong :premises (@p229) :args ((not @t120))) % 0.41/0.59 (step @p231 :rule trans :premises (@p230 @p171)) % 0.41/0.59 (step @p232 :rule arith-elim-lt :args (@t119 @t118)) % 0.41/0.59 (step @p233 :rule trans :premises (@p232 @p231)) % 0.41/0.59 (step @p234 :rule arith-elim-lt :args (@t62 0)) % 0.41/0.59 (step @p235 :rule symm :premises (@p234)) % 0.41/0.59 (step @p236 :rule eq_resolve :premises (@p274 @p235)) % 0.41/0.59 (step @p196 :rule arith_mult_neg :args (-1 @t86)) % 0.41/0.59 (step @p192 :rule evaluate :args (@t116)) % 0.41/0.59 (step @p193 :rule true_elim :premises (@p192)) % 0.41/0.59 (step @p197 :rule and_intro :premises (@p193 @p158)) % 0.41/0.59 (step @p198 :rule modus_ponens :premises (@p197 @p196)) % 0.41/0.59 (step @p237 :rule arith_mult_neg :args (-1 @t65)) % 0.41/0.59 (step @p238 :rule and_intro :premises (@p193 @p121)) % 0.41/0.59 (step @p239 :rule modus_ponens :premises (@p238 @p237)) % 0.41/0.59 (step @p240 :rule arith_sum_ub :premises (@p239 @p198 @p236)) % 0.41/0.59 (step @p241 false :rule eq_resolve :premises (@p240 @p233)) % 0.41/0.59 (step-pop @p278 :rule scope :premises (@p241)) % 0.41/0.59 (step @p242 :rule process_scope :premises (@p278) :args (false)) % 0.41/0.59 (step @p244 :rule eq_resolve :premises (@p242 @p222)) % 0.41/0.59 (step @p245 :rule eq_resolve :premises (@p244 @p221)) % 0.41/0.59 (step @p246 false :rule contra :premises (@p121 @p245)) % 0.41/0.59 (step-pop @p279 :rule scope :premises (@p246)) % 0.41/0.59 (step-pop @p280 :rule scope :premises (@p279)) % 0.41/0.59 (step-pop @p281 :rule scope :premises (@p280)) % 0.41/0.59 (step @p247 :rule process_scope :premises (@p281) :args (false)) % 0.41/0.59 (assume-push @p282 @t65) % 0.41/0.59 (assume-push @p283 @t117) % 0.41/0.59 (assume-push @p284 @t86) % 0.41/0.59 (step @p254 :rule and_intro :premises (@p283 @p158 @p121)) % 0.41/0.59 (step-pop @p285 :rule scope :premises (@p254)) % 0.41/0.59 (step-pop @p286 :rule scope :premises (@p285)) % 0.41/0.59 (step-pop @p287 :rule scope :premises (@p286)) % 0.41/0.59 (step @p255 :rule process_scope :premises (@p287) :args (@t121)) % 0.41/0.59 (step @p259 :rule implies_elim :premises (@p255)) % 0.41/0.59 (step @p260 :rule resolution :premises (@p259 @p247) :args (true @t121)) % 0.41/0.59 (step @p261 :rule not_and :premises (@p260)) % 0.41/0.59 (step @p262 :rule eq_resolve :premises (@p261 @p217)) % 0.41/0.59 (step @p263 false :rule chain_m_resolution :premises (@p262 @p215 @p158 @p121) :args (false (@list true false false) (@list @t63 @t86 @t65))) % 0.41/0.59 ) % 0.41/0.59 % SZS output end Proof % 0.41/0.59 % cvc5 exiting %------------------------------------------------------------------------------