%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT009_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:14:20 AM UTC 2026 % Result : Theorem 0.15s 0.41s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : DAT009_1 : TPTP v9.2.1. Released v5.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Mon Jun 1 22:25:18 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.33 %----Proving TF0_ARI % 0.15/0.41 --- Run --finite-model-find --decision=internal at 45... % 0.15/0.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.15/0.41 % SZS status Theorem % 0.15/0.41 % SZS output start Proof % 0.15/0.41 ( % 0.15/0.41 (declare-sort tptp.array 0) % 0.15/0.41 (declare-const tptp.read (-> tptp.array Int Int)) % 0.15/0.41 (declare-const tptp.write (-> tptp.array Int Int tptp.array)) % 0.15/0.41 (define @t1 () (@var "W" Int)) % 0.15/0.41 (define @t2 () (@var "V" Int)) % 0.15/0.41 (define @t3 () (@var "U" tptp.array)) % 0.15/0.41 (define @t4 () (tptp.read (tptp.write @t3 @t2 @t1) @t2)) % 0.15/0.41 (define @t5 () (= @t4 @t1)) % 0.15/0.41 (define @t6 () (@list @t3 @t2 @t1)) % 0.15/0.41 (define @t7 () (forall @t6 @t5)) % 0.15/0.41 (define @t8 () (@var "Z" Int)) % 0.15/0.41 (define @t9 () (@var "X" tptp.array)) % 0.15/0.41 (define @t10 () (@var "X1" Int)) % 0.15/0.41 (define @t11 () (@var "Y" Int)) % 0.15/0.41 (define @t12 () (tptp.read @t3 @t11)) % 0.15/0.41 (define @t13 () (@list @t11)) % 0.15/0.41 (define @t14 () (forall @t13 (> @t12 @t11))) % 0.15/0.41 (define @t15 () (+ @t1 3)) % 0.15/0.41 (define @t16 () (@var "V" tptp.array)) % 0.15/0.41 (define @t17 () (tptp.write @t16 @t1 @t15)) % 0.15/0.41 (define @t18 () (= @t3 @t17)) % 0.15/0.41 (define @t19 () (@var "X" Int)) % 0.15/0.41 (define @t20 () (tptp.read @t16 @t19)) % 0.15/0.41 (define @t21 () (@list @t19)) % 0.15/0.41 (define @t22 () (forall @t21 (> @t20 @t19))) % 0.15/0.41 (define @t23 () (and @t22 @t18)) % 0.15/0.41 (define @t24 () (=> @t23 @t14)) % 0.15/0.41 (define @t25 () (@list @t3 @t16 @t1)) % 0.15/0.41 (define @t26 () (forall @t25 @t24)) % 0.15/0.41 (define @t27 () (not @t26)) % 0.15/0.41 (define @t28 () (@var "BOUND_VARIABLE_7486" Int)) % 0.15/0.41 (define @t29 () (+ 3 @t1)) % 0.15/0.41 (define @t30 () (tptp.write @t16 @t1 @t29)) % 0.15/0.41 (define @t31 () (not (>= (+ @t28 (* -1 (tptp.read @t30 @t28))) 0))) % 0.15/0.41 (define @t32 () (+ @t19 (* -1 @t20))) % 0.15/0.41 (define @t33 () (>= @t32 0)) % 0.15/0.41 (define @t34 () (forall @t21 (not @t33))) % 0.15/0.41 (define @t35 () (not @t34)) % 0.15/0.41 (define @t36 () (or @t35 @t31)) % 0.15/0.41 (define @t37 () (not (= @t30 @t30))) % 0.15/0.41 (define @t38 () (or @t35 @t37 @t31)) % 0.15/0.41 (define @t39 () (@list @t16 @t1 @t28)) % 0.15/0.41 (define @t40 () (not (>= (+ @t28 (* -1 (tptp.read @t3 @t28))) 0))) % 0.15/0.41 (define @t41 () (= @t3 @t30)) % 0.15/0.41 (define @t42 () (not @t41)) % 0.15/0.41 (define @t43 () (or @t42 @t35 @t42 @t40)) % 0.15/0.41 (define @t44 () (@list @t3)) % 0.15/0.41 (define @t45 () (or @t35 @t42 @t40)) % 0.15/0.41 (define @t46 () (forall @t44 @t45)) % 0.15/0.41 (define @t47 () (forall @t39 @t46)) % 0.15/0.41 (define @t48 () (forall (@list @t16 @t1 @t28 @t3) @t45)) % 0.15/0.41 (define @t49 () (forall (@list @t3 @t16 @t1 @t28) @t45)) % 0.15/0.41 (define @t50 () (@list @t28)) % 0.15/0.41 (define @t51 () (forall @t50 @t45)) % 0.15/0.41 (define @t52 () (forall @t50 @t40)) % 0.15/0.41 (define @t53 () (or @t35 @t42 @t52)) % 0.15/0.41 (define @t54 () (+ @t11 (* -1 @t12))) % 0.15/0.41 (define @t55 () (>= @t54 0)) % 0.15/0.41 (define @t56 () (forall @t13 (not @t55))) % 0.15/0.41 (define @t57 () (or @t35 @t42 @t56)) % 0.15/0.41 (define @t58 () (and @t34 @t41)) % 0.15/0.41 (define @t59 () (>= @t11 @t12)) % 0.15/0.41 (define @t60 () (>= @t19 @t20)) % 0.15/0.41 (define @t61 () (forall @t39 @t36)) % 0.15/0.41 (define @t62 () (@quantifiers_skolemize @t61 2)) % 0.15/0.41 (define @t63 () (@quantifiers_skolemize @t61 1)) % 0.15/0.41 (define @t64 () (+ 3 @t63)) % 0.15/0.41 (define @t65 () (@quantifiers_skolemize @t61 0)) % 0.15/0.41 (define @t66 () (tptp.write @t65 @t63 @t64)) % 0.15/0.41 (define @t67 () (tptp.read @t66 @t62)) % 0.15/0.41 (define @t68 () (* -1 @t67)) % 0.15/0.41 (define @t69 () (+ @t62 @t68)) % 0.15/0.41 (define @t70 () (>= @t69 0)) % 0.15/0.41 (define @t71 () (not @t70)) % 0.15/0.41 (define @t72 () (forall @t21 (not (>= (+ @t19 (* -1 (tptp.read @t65 @t19))) 0)))) % 0.15/0.41 (define @t73 () (not @t72)) % 0.15/0.41 (define @t74 () (or @t73 @t71)) % 0.15/0.41 (define @t75 () (@list true)) % 0.15/0.41 (define @t76 () (@list @t74)) % 0.15/0.41 (define @t77 () (= @t1 @t4)) % 0.15/0.41 (define @t78 () (tptp.read @t66 @t63)) % 0.15/0.41 (define @t79 () (+ -3 @t78)) % 0.15/0.41 (define @t80 () (* 3 (- @t63 @t79))) % 0.15/0.41 (define @t81 () (= @t63 @t79)) % 0.15/0.41 (define @t82 () (= @t64 @t78)) % 0.15/0.41 (define @t83 () (forall @t6 @t77)) % 0.15/0.41 (define @t84 () (= @t67 @t78)) % 0.15/0.41 (define @t85 () (= @t63 @t62)) % 0.15/0.41 (define @t86 () (* -1 @t62)) % 0.15/0.41 (define @t87 () (+ @t63 @t86)) % 0.15/0.41 (define @t88 () (= @t87 0)) % 0.15/0.41 (define @t89 () (* -1 0)) % 0.15/0.41 (define @t90 () (+ @t89 -3 @t89 @t89)) % 0.15/0.41 (define @t91 () (* 0 @t63)) % 0.15/0.41 (define @t92 () (* 0 @t78)) % 0.15/0.41 (define @t93 () (+ @t62 @t92 @t67 @t68 @t86 @t91)) % 0.15/0.41 (define @t94 () (* -1 @t69)) % 0.15/0.41 (define @t95 () (* -1 @t78)) % 0.15/0.41 (define @t96 () (+ @t67 @t95)) % 0.15/0.41 (define @t97 () (+ @t63 @t95)) % 0.15/0.41 (define @t98 () (+ (* -1 @t87) @t97 (* -1 @t96) @t94)) % 0.15/0.41 (define @t99 () (< -1 0)) % 0.15/0.41 (define @t100 () (= @t96 0)) % 0.15/0.41 (define @t101 () (and @t70 @t84 @t81 @t85)) % 0.15/0.41 (define @t102 () (tptp.read @t65 @t62)) % 0.15/0.41 (define @t103 () (= @t67 @t102)) % 0.15/0.41 (define @t104 () (or @t85 @t103)) % 0.15/0.41 (define @t105 () (@list @t62)) % 0.15/0.41 (define @t106 () (* -1 @t102)) % 0.15/0.41 (define @t107 () (+ @t62 @t106)) % 0.15/0.41 (define @t108 () (>= @t107 0)) % 0.15/0.41 (define @t109 () (not @t103)) % 0.15/0.41 (define @t110 () (not @t108)) % 0.15/0.41 (define @t111 () (< @t107 0)) % 0.15/0.41 (define @t112 () (+ 0 @t89 @t89)) % 0.15/0.41 (define @t113 () (* 0 @t62)) % 0.15/0.41 (define @t114 () (* 0 @t102)) % 0.15/0.41 (define @t115 () (+ @t114 @t67 @t68 @t113)) % 0.15/0.41 (define @t116 () (+ @t67 @t106)) % 0.15/0.41 (define @t117 () (+ @t107 @t94 (* -1 @t116))) % 0.15/0.41 (define @t118 () (>= @t117 @t112)) % 0.15/0.41 (define @t119 () (= @t116 0)) % 0.15/0.41 (define @t120 () (and @t103 @t70 @t110)) % 0.15/0.41 (assume @p1 @t7) % 0.15/0.41 (assume @p2 (forall (@list @t9 @t11 @t8 @t10) (or (= @t11 @t8) (= (tptp.read (tptp.write @t9 @t11 @t10) @t8) (tptp.read @t9 @t8))))) % 0.15/0.41 (assume @p3 @t27) % 0.15/0.41 (assume @p4 true) % 0.15/0.41 (step @p5 :rule aci_norm :args ((= (or @t35 false @t31) @t36))) % 0.15/0.41 (step @p6 :rule refl :args (@t31)) % 0.15/0.41 (step @p7 :rule evaluate :args ((not true))) % 0.15/0.41 (step @p8 :rule eq-refl :args (@t30)) % 0.15/0.41 (step @p9 :rule cong :premises (@p8) :args (@t37)) % 0.15/0.41 (step @p10 :rule trans :premises (@p9 @p7)) % 0.15/0.41 (step @p11 :rule refl :args (@t35)) % 0.15/0.41 (step @p12 :rule nary_cong :premises (@p11 @p10 @p6) :args (@t38)) % 0.15/0.41 (step @p13 :rule trans :premises (@p12 @p5)) % 0.15/0.41 (step @p14 :rule cong :premises (@p13) :args ((forall @t39 @t38))) % 0.15/0.41 (step @p15 :rule quant-var-elim-eq :args ((= (forall @t44 @t43) @t38))) % 0.15/0.41 (step @p16 :rule aci_norm :args ((= @t45 @t43))) % 0.15/0.41 (step @p17 :rule cong :premises (@p16) :args (@t46)) % 0.15/0.41 (step @p18 :rule trans :premises (@p17 @p15)) % 0.15/0.41 (step @p19 :rule cong :premises (@p18) :args (@t47)) % 0.15/0.41 (step @p20 :rule quant-merge-prenex :args ((= @t47 @t48))) % 0.15/0.41 (step @p21 :rule symm :premises (@p20)) % 0.15/0.41 (step @p22 :rule quant_var_reordering :args ((= @t49 @t48))) % 0.15/0.41 (step @p23 :rule trans :premises (@p22 @p21 @p19)) % 0.15/0.41 (step @p24 :rule trans :premises (@p23 @p14)) % 0.15/0.41 (step @p25 :rule quant-merge-prenex :args ((= (forall @t25 @t51) @t49))) % 0.15/0.41 (step @p26 :rule alpha_equiv :args (@t52 (@list @t28) (@list @t11))) % 0.15/0.41 (step @p27 :rule refl :args (@t42)) % 0.15/0.41 (step @p28 :rule refl :args (@t35)) % 0.15/0.41 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26) :args (@t53)) % 0.15/0.41 (step @p30 :rule quant-miniscope-or :args ((= @t51 @t53))) % 0.15/0.41 (step @p31 :rule trans :premises (@p30 @p29)) % 0.15/0.41 (step @p32 :rule symm :premises (@p31)) % 0.15/0.41 (step @p33 :rule cong :premises (@p32) :args ((forall @t25 @t57))) % 0.15/0.41 (step @p34 :rule trans :premises (@p33 @p25)) % 0.15/0.41 (step @p35 :rule trans :premises (@p34 @p24)) % 0.15/0.41 (step @p36 :rule aci_norm :args ((= (or (or @t35 @t42) @t56) @t57))) % 0.15/0.41 (step @p37 :rule refl :args (@t56)) % 0.15/0.41 (step @p38 :rule bool-and-de-morgan :args (@t34 @t41 true)) % 0.15/0.41 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t58) @t56))) % 0.15/0.41 (step @p40 :rule trans :premises (@p39 @p36)) % 0.15/0.41 (step @p41 :rule bool-impl-elim :args (@t58 @t56)) % 0.15/0.41 (step @p42 :rule trans :premises (@p41 @p40)) % 0.15/0.41 (step @p43 :rule cong :premises (@p42) :args ((forall @t25 (=> @t58 @t56)))) % 0.15/0.41 (step @p44 :rule trans :premises (@p43 @p35)) % 0.15/0.41 (step @p45 :rule arith_poly_norm :args ((= (* 1 (- @t11 @t12)) (* 1 (- @t54 0))))) % 0.15/0.41 (step @p46 :rule arith_poly_norm_rel :premises (@p45) :args ((= @t59 @t55))) % 0.15/0.41 (step @p47 :rule arith-elim-leq :args (@t12 @t11)) % 0.15/0.41 (step @p48 :rule trans :premises (@p47 @p46)) % 0.15/0.41 (step @p49 :rule cong :premises (@p48) :args ((not (<= @t12 @t11)))) % 0.15/0.41 (step @p50 :rule symm :premises (@p47)) % 0.15/0.41 (step @p51 :rule cong :premises (@p50) :args ((not @t59))) % 0.15/0.41 (step @p52 :rule arith-elim-gt :args (@t12 @t11)) % 0.15/0.41 (step @p53 :rule trans :premises (@p52 @p51)) % 0.15/0.41 (step @p54 :rule trans :premises (@p53 @p49)) % 0.15/0.41 (step @p55 :rule cong :premises (@p54) :args (@t14)) % 0.15/0.41 (step @p56 :rule arith_poly_norm :args ((= @t15 @t29))) % 0.15/0.41 (step @p57 :rule refl :args (@t1)) % 0.15/0.41 (step @p58 :rule refl :args (@t16)) % 0.15/0.41 (step @p59 :rule cong :premises (@p58 @p57 @p56) :args (@t17)) % 0.15/0.41 (step @p60 :rule refl :args (@t3)) % 0.15/0.41 (step @p61 :rule cong :premises (@p60 @p59) :args (@t18)) % 0.15/0.41 (step @p62 :rule arith_poly_norm :args ((= (* 1 (- @t19 @t20)) (* 1 (- @t32 0))))) % 0.15/0.41 (step @p63 :rule arith_poly_norm_rel :premises (@p62) :args ((= @t60 @t33))) % 0.15/0.41 (step @p64 :rule arith-elim-leq :args (@t20 @t19)) % 0.15/0.41 (step @p65 :rule trans :premises (@p64 @p63)) % 0.15/0.41 (step @p66 :rule cong :premises (@p65) :args ((not (<= @t20 @t19)))) % 0.15/0.41 (step @p67 :rule symm :premises (@p64)) % 0.15/0.41 (step @p68 :rule cong :premises (@p67) :args ((not @t60))) % 0.15/0.41 (step @p69 :rule arith-elim-gt :args (@t20 @t19)) % 0.15/0.41 (step @p70 :rule trans :premises (@p69 @p68)) % 0.15/0.41 (step @p71 :rule trans :premises (@p70 @p66)) % 0.15/0.41 (step @p72 :rule cong :premises (@p71) :args (@t22)) % 0.15/0.41 (step @p73 :rule nary_cong :premises (@p72 @p61) :args (@t23)) % 0.15/0.41 (step @p74 :rule cong :premises (@p73 @p55) :args (@t24)) % 0.15/0.41 (step @p75 :rule cong :premises (@p74) :args (@t26)) % 0.15/0.41 (step @p76 :rule trans :premises (@p75 @p44)) % 0.15/0.41 (step @p77 :rule cong :premises (@p76) :args (@t27)) % 0.15/0.41 (step @p78 :rule eq_resolve :premises (@p3 @p77)) % 0.15/0.41 (step @p79 :rule skolemize :premises (@p78)) % 0.15/0.41 (step @p80 :rule bool-double-not-elim :args (@t70)) % 0.15/0.41 (step @p81 :rule refl :args (@t74)) % 0.15/0.41 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t74 (not @t71)))) % 0.15/0.41 (step @p83 :rule cnf_or_neg :args (@t74 1)) % 0.15/0.41 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.15/0.41 (step @p85 :rule reordering :premises (@p84) :args ((or @t70 @t74))) % 0.15/0.41 (step @p86 :rule chain_m_resolution :premises (@p85 @p79) :args (@t70 @t75 @t76)) % 0.15/0.41 (step @p87 :rule instantiate :premises (@p2) :args ((@list @t65 @t63 @t62 @t64))) % 0.15/0.41 (step @p88 :rule arith_poly_norm :args ((= (* 1 (- @t4 @t1)) (* -1 (- @t1 @t4))))) % 0.15/0.41 (step @p89 :rule arith_poly_norm_rel :premises (@p88) :args ((= @t5 @t77))) % 0.15/0.41 (step @p90 :rule cong :premises (@p89) :args (@t7)) % 0.15/0.41 (step @p91 :rule eq_resolve :premises (@p1 @p90)) % 0.15/0.41 (step @p92 :rule arith_poly_norm :args ((= (* 3 (- @t64 @t78)) @t80))) % 0.15/0.41 (step @p93 :rule arith_poly_norm_rel :premises (@p92) :args ((= @t82 @t81))) % 0.15/0.41 (step @p94 :rule refl :args (@t83)) % 0.15/0.41 (step @p95 :rule cong :premises (@p94 @p93) :args ((=> @t83 @t82))) % 0.15/0.41 (assume-push @p254 @t83) % 0.15/0.41 (step @p97 :rule instantiate :premises (@p91) :args ((@list @t65 @t63 @t64))) % 0.15/0.41 (step-pop @p255 :rule scope :premises (@p97)) % 0.15/0.41 (step @p98 :rule process_scope :premises (@p255) :args (@t82)) % 0.15/0.41 (step @p100 :rule eq_resolve :premises (@p98 @p95)) % 0.15/0.41 (step @p101 :rule implies_elim :premises (@p100)) % 0.15/0.41 (step @p102 :rule chain_m_resolution :premises (@p101 @p91) :args (@t81 (@list false) (@list @t83))) % 0.15/0.41 (assume-push @p256 @t70) % 0.15/0.41 (assume-push @p257 @t84) % 0.15/0.41 (assume-push @p258 @t81) % 0.15/0.41 (assume-push @p259 @t85) % 0.15/0.41 (assume-push @p260 @t88) % 0.15/0.41 (step @p108 :rule evaluate :args ((<= 0 -3))) % 0.15/0.41 (step @p109 :rule evaluate :args ((+ 0 -3 0 0))) % 0.15/0.41 (step @p110 :rule evaluate :args (@t89)) % 0.15/0.41 (step @p111 :rule refl :args (-3)) % 0.15/0.41 (step @p112 :rule nary_cong :premises (@p110 @p111 @p110 @p110) :args (@t90)) % 0.15/0.41 (step @p113 :rule trans :premises (@p112 @p109)) % 0.15/0.41 (step @p114 :rule arith_poly_norm :args ((= (+ @t62 0 @t67 @t68 @t86 0) 0))) % 0.15/0.41 (step @p115 :rule arith_poly_norm :args ((= @t91 0))) % 0.15/0.41 (step @p116 :rule refl :args (@t86)) % 0.15/0.41 (step @p117 :rule refl :args (@t68)) % 0.15/0.41 (step @p118 :rule refl :args (@t67)) % 0.15/0.41 (step @p119 :rule arith_poly_norm :args ((= @t92 0))) % 0.15/0.41 (step @p120 :rule refl :args (@t62)) % 0.15/0.41 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118 @p117 @p116 @p115) :args (@t93)) % 0.15/0.41 (step @p122 :rule trans :premises (@p121 @p114)) % 0.15/0.41 (step @p123 :rule arith_poly_norm :args ((= @t98 @t93))) % 0.15/0.41 (step @p124 :rule trans :premises (@p123 @p122)) % 0.15/0.41 (step @p125 :rule cong :premises (@p124 @p113) :args ((<= @t98 @t90))) % 0.15/0.41 (step @p126 :rule trans :premises (@p125 @p108)) % 0.15/0.41 (step @p127 :rule arith_mult_neg :args (-1 @t70)) % 0.15/0.41 (step @p128 :rule evaluate :args (@t99)) % 0.15/0.41 (step @p129 :rule true_elim :premises (@p128)) % 0.15/0.41 (step @p130 :rule and_intro :premises (@p129 @p86)) % 0.15/0.41 (step @p131 :rule modus_ponens :premises (@p130 @p127)) % 0.15/0.41 (step @p132 :rule arith_mult_neg :args (-1 @t100)) % 0.15/0.41 (step @p133 :rule arith_poly_norm :args ((= (* 1 (- @t96 0)) (* 1 (- @t67 @t78))))) % 0.15/0.41 (step @p134 :rule arith_poly_norm_rel :premises (@p133) :args ((= @t100 @t84))) % 0.15/0.41 (step @p135 :rule symm :premises (@p134)) % 0.15/0.41 (step @p136 :rule eq_resolve :premises (@p257 @p135)) % 0.15/0.41 (step @p137 :rule and_intro :premises (@p129 @p136)) % 0.15/0.41 (step @p138 :rule modus_ponens :premises (@p137 @p132)) % 0.15/0.41 (step @p139 :rule arith_poly_norm :args ((= (* 3 (- @t97 -3)) @t80))) % 0.15/0.41 (step @p140 :rule arith_poly_norm_rel :premises (@p139) :args ((= (= @t97 -3) @t81))) % 0.15/0.41 (step @p141 :rule symm :premises (@p140)) % 0.15/0.41 (step @p142 :rule eq_resolve :premises (@p102 @p141)) % 0.15/0.41 (step @p143 :rule arith_mult_neg :args (-1 @t88)) % 0.15/0.41 (step @p144 :rule and_intro :premises (@p129 @p260)) % 0.15/0.41 (step @p145 :rule modus_ponens :premises (@p144 @p143)) % 0.15/0.41 (step @p146 :rule arith_sum_ub :premises (@p145 @p142 @p138 @p131)) % 0.15/0.41 (step @p147 false :rule eq_resolve :premises (@p146 @p126)) % 0.15/0.41 (step-pop @p261 :rule scope :premises (@p147)) % 0.15/0.41 (step @p148 :rule process_scope :premises (@p261) :args (false)) % 0.15/0.41 (step @p150 :rule arith_poly_norm :args ((= (* 1 (- @t87 0)) (* 1 (- @t63 @t62))))) % 0.15/0.41 (step @p151 :rule arith_poly_norm_rel :premises (@p150) :args ((= @t88 @t85))) % 0.15/0.41 (step @p152 :rule symm :premises (@p151)) % 0.15/0.41 (step @p153 :rule eq_resolve :premises (@p259 @p152)) % 0.15/0.41 (step @p154 false :rule contra :premises (@p153 @p148)) % 0.15/0.41 (step-pop @p262 :rule scope :premises (@p154)) % 0.15/0.41 (step-pop @p263 :rule scope :premises (@p262)) % 0.15/0.41 (step-pop @p264 :rule scope :premises (@p263)) % 0.15/0.41 (step-pop @p265 :rule scope :premises (@p264)) % 0.15/0.41 (step @p155 :rule process_scope :premises (@p265) :args (false)) % 0.15/0.41 (assume-push @p266 @t70) % 0.15/0.41 (assume-push @p267 @t81) % 0.15/0.41 (assume-push @p268 @t85) % 0.15/0.41 (assume-push @p269 @t85) % 0.15/0.41 (step @p164 :rule symm :premises (@p268)) % 0.15/0.41 (step @p165 :rule refl :args (@t66)) % 0.15/0.41 (step @p166 :rule cong :premises (@p165 @p164) :args (@t67)) % 0.15/0.41 (step-pop @p270 :rule scope :premises (@p166)) % 0.15/0.41 (step @p167 :rule process_scope :premises (@p270) :args (@t84)) % 0.15/0.41 (step @p169 :rule modus_ponens :premises (@p268 @p167)) % 0.15/0.41 (step @p170 :rule and_intro :premises (@p86 @p169 @p102 @p268)) % 0.15/0.41 (step-pop @p271 :rule scope :premises (@p170)) % 0.15/0.41 (step-pop @p272 :rule scope :premises (@p271)) % 0.15/0.41 (step-pop @p273 :rule scope :premises (@p272)) % 0.15/0.41 (step @p171 :rule process_scope :premises (@p273) :args (@t101)) % 0.15/0.41 (step @p175 :rule implies_elim :premises (@p171)) % 0.15/0.41 (step @p176 :rule resolution :premises (@p175 @p155) :args (true @t101)) % 0.15/0.41 (step @p177 :rule not_and :premises (@p176)) % 0.15/0.41 (step @p178 :rule chain_m_resolution :premises (@p177 @p86 @p102) :args ((not @t85) (@list false false) (@list @t70 @t81))) % 0.15/0.41 (step @p179 :rule cnf_or_pos :args (@t104)) % 0.15/0.41 (step @p180 :rule reordering :premises (@p179) :args ((or @t85 @t103 (not @t104)))) % 0.15/0.41 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p87) :args (@t103 (@list true false) (@list @t85 @t104))) % 0.15/0.41 (step @p182 :rule bool-double-not-elim :args (@t72)) % 0.15/0.41 (step @p183 :rule nary_cong :premises (@p81 @p182) :args ((or @t74 (not @t73)))) % 0.15/0.41 (step @p184 :rule cnf_or_neg :args (@t74 0)) % 0.15/0.41 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 0.15/0.41 (step @p186 :rule reordering :premises (@p185) :args ((or @t72 @t74))) % 0.15/0.41 (step @p187 :rule chain_m_resolution :premises (@p186 @p79) :args (@t72 @t75 @t76)) % 0.15/0.41 (step @p188 :rule instantiate :premises (@p187) :args (@t105)) % 0.15/0.41 (step @p189 :rule bool-double-not-elim :args (@t108)) % 0.15/0.41 (step @p190 :rule refl :args (@t109)) % 0.15/0.41 (step @p191 :rule refl :args (@t71)) % 0.15/0.41 (step @p192 :rule nary_cong :premises (@p191 @p190 @p189) :args ((or @t71 @t109 (not @t110)))) % 0.15/0.41 (assume-push @p274 @t103) % 0.15/0.41 (assume-push @p275 @t70) % 0.15/0.41 (assume-push @p276 @t110) % 0.15/0.41 (step @p196 :rule arith-elim-lt :args (@t107 0)) % 0.15/0.41 (step @p197 :rule cong :premises (@p196) :args ((not @t111))) % 0.15/0.41 (step @p198 :rule trans :premises (@p197 @p189)) % 0.15/0.41 (step @p199 :rule symm :premises (@p198)) % 0.15/0.41 (assume-push @p277 @t111) % 0.15/0.41 (step @p201 :rule evaluate :args ((>= 0 0))) % 0.15/0.41 (step @p202 :rule evaluate :args ((+ 0 0 0))) % 0.15/0.41 (step @p110 :rule evaluate :args (@t89)) % 0.15/0.41 (step @p203 :rule refl :args (0)) % 0.15/0.41 (step @p204 :rule nary_cong :premises (@p203 @p110 @p110) :args (@t112)) % 0.15/0.41 (step @p205 :rule trans :premises (@p204 @p202)) % 0.15/0.41 (step @p206 :rule arith_poly_norm :args ((= (+ 0 @t67 @t68 0) 0))) % 0.15/0.41 (step @p207 :rule arith_poly_norm :args ((= @t113 0))) % 0.15/0.41 (step @p117 :rule refl :args (@t68)) % 0.15/0.41 (step @p118 :rule refl :args (@t67)) % 0.15/0.41 (step @p208 :rule arith_poly_norm :args ((= @t114 0))) % 0.15/0.41 (step @p209 :rule nary_cong :premises (@p208 @p118 @p117 @p207) :args (@t115)) % 0.15/0.41 (step @p210 :rule trans :premises (@p209 @p206)) % 0.15/0.41 (step @p211 :rule arith_poly_norm :args ((= @t117 @t115))) % 0.15/0.41 (step @p212 :rule trans :premises (@p211 @p210)) % 0.15/0.41 (step @p213 :rule cong :premises (@p212 @p205) :args (@t118)) % 0.15/0.41 (step @p214 :rule trans :premises (@p213 @p201)) % 0.15/0.41 (step @p215 :rule cong :premises (@p214) :args ((not @t118))) % 0.15/0.41 (step @p216 :rule trans :premises (@p215 @p7)) % 0.15/0.41 (step @p217 :rule arith-elim-lt :args (@t117 @t112)) % 0.15/0.41 (step @p218 :rule trans :premises (@p217 @p216)) % 0.15/0.41 (step @p219 :rule arith_mult_neg :args (-1 @t119)) % 0.15/0.41 (step @p220 :rule arith_poly_norm :args ((= (* 1 (- @t116 0)) (* 1 (- @t67 @t102))))) % 0.15/0.41 (step @p221 :rule arith_poly_norm_rel :premises (@p220) :args ((= @t119 @t103))) % 0.15/0.41 (step @p222 :rule symm :premises (@p221)) % 0.15/0.41 (step @p223 :rule eq_resolve :premises (@p274 @p222)) % 0.15/0.41 (step @p128 :rule evaluate :args (@t99)) % 0.15/0.41 (step @p129 :rule true_elim :premises (@p128)) % 0.15/0.41 (step @p224 :rule and_intro :premises (@p129 @p223)) % 0.15/0.41 (step @p225 :rule modus_ponens :premises (@p224 @p219)) % 0.15/0.41 (step @p127 :rule arith_mult_neg :args (-1 @t70)) % 0.15/0.41 (step @p130 :rule and_intro :premises (@p129 @p86)) % 0.15/0.41 (step @p131 :rule modus_ponens :premises (@p130 @p127)) % 0.15/0.41 (step @p226 :rule symm :premises (@p196)) % 0.15/0.41 (step @p227 :rule instantiate :premises (@p187) :args (@t105)) % 0.15/0.41 (step @p228 :rule eq_resolve :premises (@p227 @p226)) % 0.15/0.41 (step @p229 :rule arith_sum_ub :premises (@p228 @p131 @p225)) % 0.15/0.41 (step @p230 false :rule eq_resolve :premises (@p229 @p218)) % 0.15/0.41 (step-pop @p278 :rule scope :premises (@p230)) % 0.15/0.41 (step @p231 :rule process_scope :premises (@p278) :args (false)) % 0.15/0.41 (step @p233 :rule eq_resolve :premises (@p231 @p198)) % 0.15/0.41 (step @p234 :rule eq_resolve :premises (@p233 @p199)) % 0.15/0.41 (step @p226 :rule symm :premises (@p196)) % 0.15/0.41 (step @p235 :rule eq_resolve :premises (@p188 @p226)) % 0.15/0.41 (step @p236 false :rule contra :premises (@p235 @p234)) % 0.15/0.41 (step-pop @p279 :rule scope :premises (@p236)) % 0.15/0.41 (step-pop @p280 :rule scope :premises (@p279)) % 0.15/0.41 (step-pop @p281 :rule scope :premises (@p280)) % 0.15/0.41 (step @p237 :rule process_scope :premises (@p281) :args (false)) % 0.15/0.41 (assume-push @p282 @t70) % 0.15/0.41 (assume-push @p283 @t103) % 0.15/0.41 (assume-push @p284 @t110) % 0.15/0.41 (step @p244 :rule and_intro :premises (@p283 @p86 @p188)) % 0.15/0.41 (step-pop @p285 :rule scope :premises (@p244)) % 0.15/0.41 (step-pop @p286 :rule scope :premises (@p285)) % 0.15/0.41 (step-pop @p287 :rule scope :premises (@p286)) % 0.15/0.41 (step @p245 :rule process_scope :premises (@p287) :args (@t120)) % 0.15/0.41 (step @p249 :rule implies_elim :premises (@p245)) % 0.15/0.41 (step @p250 :rule resolution :premises (@p249 @p237) :args (true @t120)) % 0.15/0.41 (step @p251 :rule not_and :premises (@p250)) % 0.15/0.41 (step @p252 :rule eq_resolve :premises (@p251 @p192)) % 0.15/0.41 (step @p253 false :rule chain_m_resolution :premises (@p252 @p188 @p181 @p86) :args (false (@list true false false) (@list @t108 @t103 @t70))) % 0.15/0.41 ) % 0.15/0.41 % SZS output end Proof % 0.15/0.41 % cvc5 exiting %------------------------------------------------------------------------------