%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT008_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : DAT008_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n015.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Mon Jun 1 22:25:34 EDT 2026 % 0.16/0.33 % CPUTime : % 0.29/0.48 %----Proving TF0_ARI % 0.37/0.62 --- Run --finite-model-find --decision=internal at 45... % 0.37/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort tptp.array 0) % 0.37/0.62 (declare-const tptp.read (-> tptp.array Int Int)) % 0.37/0.62 (declare-const tptp.write (-> tptp.array Int Int tptp.array)) % 0.37/0.62 (define @t1 () (@var "W" Int)) % 0.37/0.62 (define @t2 () (@var "V" Int)) % 0.37/0.62 (define @t3 () (@var "U" tptp.array)) % 0.37/0.62 (define @t4 () (tptp.read (tptp.write @t3 @t2 @t1) @t2)) % 0.37/0.62 (define @t5 () (= @t4 @t1)) % 0.37/0.62 (define @t6 () (@list @t3 @t2 @t1)) % 0.37/0.62 (define @t7 () (forall @t6 @t5)) % 0.37/0.62 (define @t8 () (@var "Z" Int)) % 0.37/0.62 (define @t9 () (@var "X" tptp.array)) % 0.37/0.62 (define @t10 () (@var "X1" Int)) % 0.37/0.62 (define @t11 () (@var "Y" Int)) % 0.37/0.62 (define @t12 () (forall (@list @t9 @t11 @t8 @t10) (or (= @t11 @t8) (= (tptp.read (tptp.write @t9 @t11 @t10) @t8) (tptp.read @t9 @t8))))) % 0.37/0.62 (define @t13 () (@var "X" Int)) % 0.37/0.62 (define @t14 () (tptp.read @t3 @t13)) % 0.37/0.62 (define @t15 () (@list @t13)) % 0.37/0.62 (define @t16 () (forall @t15 (> @t14 @t13))) % 0.37/0.62 (define @t17 () (@var "V" tptp.array)) % 0.37/0.62 (define @t18 () (tptp.write (tptp.write @t17 3 5) 7 9)) % 0.37/0.62 (define @t19 () (= @t3 @t18)) % 0.37/0.62 (define @t20 () (tptp.read @t17 @t1)) % 0.37/0.62 (define @t21 () (@list @t1)) % 0.37/0.62 (define @t22 () (forall @t21 (> @t20 @t1))) % 0.37/0.62 (define @t23 () (and @t22 @t19)) % 0.37/0.62 (define @t24 () (=> @t23 @t16)) % 0.37/0.62 (define @t25 () (@list @t3 @t17)) % 0.37/0.62 (define @t26 () (forall @t25 @t24)) % 0.37/0.62 (define @t27 () (not @t26)) % 0.37/0.62 (define @t28 () (@var "BOUND_VARIABLE_7485" Int)) % 0.37/0.62 (define @t29 () (not (>= (+ @t28 (* -1 (tptp.read @t18 @t28))) 0))) % 0.37/0.62 (define @t30 () (+ @t1 (* -1 @t20))) % 0.37/0.62 (define @t31 () (>= @t30 0)) % 0.37/0.62 (define @t32 () (forall @t21 (not @t31))) % 0.37/0.62 (define @t33 () (not @t32)) % 0.37/0.62 (define @t34 () (or @t33 @t29)) % 0.37/0.62 (define @t35 () (not (= @t18 @t18))) % 0.37/0.62 (define @t36 () (or @t33 @t35 @t29)) % 0.37/0.62 (define @t37 () (@list @t17 @t28)) % 0.37/0.62 (define @t38 () (not (>= (+ @t28 (* -1 (tptp.read @t3 @t28))) 0))) % 0.37/0.62 (define @t39 () (not @t19)) % 0.37/0.62 (define @t40 () (or @t39 @t33 @t39 @t38)) % 0.37/0.62 (define @t41 () (@list @t3)) % 0.37/0.62 (define @t42 () (or @t33 @t39 @t38)) % 0.37/0.62 (define @t43 () (forall @t41 @t42)) % 0.37/0.62 (define @t44 () (forall @t37 @t43)) % 0.37/0.62 (define @t45 () (forall (@list @t17 @t28 @t3) @t42)) % 0.37/0.62 (define @t46 () (forall (@list @t3 @t17 @t28) @t42)) % 0.37/0.62 (define @t47 () (@list @t28)) % 0.37/0.62 (define @t48 () (forall @t47 @t42)) % 0.37/0.62 (define @t49 () (forall @t47 @t38)) % 0.37/0.62 (define @t50 () (or @t33 @t39 @t49)) % 0.37/0.62 (define @t51 () (+ @t13 (* -1 @t14))) % 0.37/0.62 (define @t52 () (>= @t51 0)) % 0.37/0.62 (define @t53 () (forall @t15 (not @t52))) % 0.37/0.62 (define @t54 () (or @t33 @t39 @t53)) % 0.37/0.62 (define @t55 () (and @t32 @t19)) % 0.37/0.62 (define @t56 () (>= @t13 @t14)) % 0.37/0.62 (define @t57 () (>= @t1 @t20)) % 0.37/0.62 (define @t58 () (forall @t37 @t34)) % 0.37/0.62 (define @t59 () (@quantifiers_skolemize @t58 1)) % 0.37/0.62 (define @t60 () (@quantifiers_skolemize @t58 0)) % 0.37/0.62 (define @t61 () (tptp.write @t60 3 5)) % 0.37/0.62 (define @t62 () (tptp.write @t61 7 9)) % 0.37/0.62 (define @t63 () (tptp.read @t62 @t59)) % 0.37/0.62 (define @t64 () (* -1 @t63)) % 0.37/0.62 (define @t65 () (+ @t59 @t64)) % 0.37/0.62 (define @t66 () (>= @t65 0)) % 0.37/0.62 (define @t67 () (not @t66)) % 0.37/0.62 (define @t68 () (forall @t21 (not (>= (+ @t1 (* -1 (tptp.read @t60 @t1))) 0)))) % 0.37/0.62 (define @t69 () (not @t68)) % 0.37/0.62 (define @t70 () (or @t69 @t67)) % 0.37/0.62 (define @t71 () (@list true)) % 0.37/0.62 (define @t72 () (@list @t70)) % 0.37/0.62 (define @t73 () (= @t1 @t4)) % 0.37/0.62 (define @t74 () (tptp.read @t61 3)) % 0.37/0.62 (define @t75 () (= @t74 5)) % 0.37/0.62 (define @t76 () (= 5 @t74)) % 0.37/0.62 (define @t77 () (forall @t6 @t73)) % 0.37/0.62 (define @t78 () (@list @t60 3 5)) % 0.37/0.62 (define @t79 () (@list false)) % 0.37/0.62 (define @t80 () (@list @t77)) % 0.37/0.62 (define @t81 () (tptp.read @t61 @t59)) % 0.37/0.62 (define @t82 () (= @t63 @t81)) % 0.37/0.62 (define @t83 () (= @t59 7)) % 0.37/0.62 (define @t84 () (= 7 @t59)) % 0.37/0.62 (define @t85 () (or @t84 @t82)) % 0.37/0.62 (define @t86 () (or @t83 @t82)) % 0.37/0.62 (define @t87 () (@list @t12)) % 0.37/0.62 (define @t88 () (tptp.read @t62 7)) % 0.37/0.62 (define @t89 () (= @t88 9)) % 0.37/0.62 (define @t90 () (= 9 @t88)) % 0.37/0.62 (define @t91 () (@list @t61 7 9)) % 0.37/0.62 (define @t92 () (= 9 @t63)) % 0.37/0.62 (define @t93 () (<= 0 -2)) % 0.37/0.62 (define @t94 () (* -1 9)) % 0.37/0.62 (define @t95 () (* -1 0)) % 0.37/0.62 (define @t96 () (+ @t95 @t94 7)) % 0.37/0.62 (define @t97 () (+ (* -1 @t59) @t63)) % 0.37/0.62 (define @t98 () (* -1 @t65)) % 0.37/0.62 (define @t99 () (= @t98 @t97)) % 0.37/0.62 (define @t100 () (+ @t98 @t64 @t59)) % 0.37/0.62 (define @t101 () (< -1 0)) % 0.37/0.62 (define @t102 () (and @t83 @t92 @t66)) % 0.37/0.62 (define @t103 () (@list true false)) % 0.37/0.62 (define @t104 () (tptp.read @t60 @t59)) % 0.37/0.62 (define @t105 () (= @t81 @t104)) % 0.37/0.62 (define @t106 () (= @t59 3)) % 0.37/0.62 (define @t107 () (= 3 @t59)) % 0.37/0.62 (define @t108 () (or @t107 @t105)) % 0.37/0.62 (define @t109 () (or @t106 @t105)) % 0.37/0.62 (define @t110 () (* -1 @t104)) % 0.37/0.62 (define @t111 () (+ @t59 @t110)) % 0.37/0.62 (define @t112 () (>= @t111 0)) % 0.37/0.62 (define @t113 () (not @t105)) % 0.37/0.62 (define @t114 () (not @t82)) % 0.37/0.62 (define @t115 () (not @t112)) % 0.37/0.62 (define @t116 () (= @t63 @t104)) % 0.37/0.62 (define @t117 () (+ @t63 @t110)) % 0.37/0.62 (define @t118 () (= @t117 0)) % 0.37/0.62 (define @t119 () (+ @t95 @t95 0)) % 0.37/0.62 (define @t120 () (* 0 @t59)) % 0.37/0.62 (define @t121 () (* 0 @t104)) % 0.37/0.62 (define @t122 () (+ @t121 @t63 @t64 @t120)) % 0.37/0.62 (define @t123 () (+ (* -1 @t117) @t98 @t111)) % 0.37/0.62 (define @t124 () (>= @t123 @t119)) % 0.37/0.62 (define @t125 () (and @t115 @t66 @t116)) % 0.37/0.62 (define @t126 () (= 5 @t63)) % 0.37/0.62 (define @t127 () (= @t63 5)) % 0.37/0.62 (define @t128 () (* -1 5)) % 0.37/0.62 (define @t129 () (+ @t128 @t95 3)) % 0.37/0.62 (define @t130 () (+ @t64 @t98 @t59)) % 0.37/0.62 (define @t131 () (and @t106 @t66 @t126)) % 0.37/0.62 (assume @p1 @t7) % 0.37/0.62 (assume @p2 @t12) % 0.37/0.62 (assume @p3 @t27) % 0.37/0.62 (assume @p4 true) % 0.37/0.62 (step @p5 :rule aci_norm :args ((= (or @t33 false @t29) @t34))) % 0.37/0.62 (step @p6 :rule refl :args (@t29)) % 0.37/0.62 (step @p7 :rule evaluate :args ((not true))) % 0.37/0.62 (step @p8 :rule eq-refl :args (@t18)) % 0.37/0.62 (step @p9 :rule cong :premises (@p8) :args (@t35)) % 0.37/0.62 (step @p10 :rule trans :premises (@p9 @p7)) % 0.37/0.62 (step @p11 :rule refl :args (@t33)) % 0.37/0.62 (step @p12 :rule nary_cong :premises (@p11 @p10 @p6) :args (@t36)) % 0.37/0.62 (step @p13 :rule trans :premises (@p12 @p5)) % 0.37/0.62 (step @p14 :rule cong :premises (@p13) :args ((forall @t37 @t36))) % 0.37/0.62 (step @p15 :rule quant-var-elim-eq :args ((= (forall @t41 @t40) @t36))) % 0.37/0.62 (step @p16 :rule aci_norm :args ((= @t42 @t40))) % 0.37/0.62 (step @p17 :rule cong :premises (@p16) :args (@t43)) % 0.37/0.62 (step @p18 :rule trans :premises (@p17 @p15)) % 0.37/0.62 (step @p19 :rule cong :premises (@p18) :args (@t44)) % 0.37/0.62 (step @p20 :rule quant-merge-prenex :args ((= @t44 @t45))) % 0.37/0.62 (step @p21 :rule symm :premises (@p20)) % 0.37/0.62 (step @p22 :rule quant_var_reordering :args ((= @t46 @t45))) % 0.37/0.62 (step @p23 :rule trans :premises (@p22 @p21 @p19)) % 0.37/0.62 (step @p24 :rule trans :premises (@p23 @p14)) % 0.37/0.62 (step @p25 :rule quant-merge-prenex :args ((= (forall @t25 @t48) @t46))) % 0.37/0.62 (step @p26 :rule alpha_equiv :args (@t49 (@list @t28) (@list @t13))) % 0.37/0.62 (step @p27 :rule refl :args (@t39)) % 0.37/0.62 (step @p28 :rule refl :args (@t33)) % 0.37/0.62 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26) :args (@t50)) % 0.37/0.62 (step @p30 :rule quant-miniscope-or :args ((= @t48 @t50))) % 0.37/0.62 (step @p31 :rule trans :premises (@p30 @p29)) % 0.37/0.62 (step @p32 :rule symm :premises (@p31)) % 0.37/0.62 (step @p33 :rule cong :premises (@p32) :args ((forall @t25 @t54))) % 0.37/0.62 (step @p34 :rule trans :premises (@p33 @p25)) % 0.37/0.62 (step @p35 :rule trans :premises (@p34 @p24)) % 0.37/0.62 (step @p36 :rule aci_norm :args ((= (or (or @t33 @t39) @t53) @t54))) % 0.37/0.62 (step @p37 :rule refl :args (@t53)) % 0.37/0.62 (step @p38 :rule bool-and-de-morgan :args (@t32 @t19 true)) % 0.37/0.62 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t55) @t53))) % 0.37/0.62 (step @p40 :rule trans :premises (@p39 @p36)) % 0.37/0.62 (step @p41 :rule bool-impl-elim :args (@t55 @t53)) % 0.37/0.62 (step @p42 :rule trans :premises (@p41 @p40)) % 0.37/0.62 (step @p43 :rule cong :premises (@p42) :args ((forall @t25 (=> @t55 @t53)))) % 0.37/0.62 (step @p44 :rule trans :premises (@p43 @p35)) % 0.37/0.62 (step @p45 :rule arith_poly_norm :args ((= (* 1 (- @t13 @t14)) (* 1 (- @t51 0))))) % 0.37/0.62 (step @p46 :rule arith_poly_norm_rel :premises (@p45) :args ((= @t56 @t52))) % 0.37/0.62 (step @p47 :rule arith-elim-leq :args (@t14 @t13)) % 0.37/0.62 (step @p48 :rule trans :premises (@p47 @p46)) % 0.37/0.62 (step @p49 :rule cong :premises (@p48) :args ((not (<= @t14 @t13)))) % 0.37/0.62 (step @p50 :rule symm :premises (@p47)) % 0.37/0.62 (step @p51 :rule cong :premises (@p50) :args ((not @t56))) % 0.37/0.62 (step @p52 :rule arith-elim-gt :args (@t14 @t13)) % 0.37/0.62 (step @p53 :rule trans :premises (@p52 @p51)) % 0.37/0.62 (step @p54 :rule trans :premises (@p53 @p49)) % 0.37/0.62 (step @p55 :rule cong :premises (@p54) :args (@t16)) % 0.37/0.62 (step @p56 :rule refl :args (@t19)) % 0.37/0.62 (step @p57 :rule arith_poly_norm :args ((= (* 1 (- @t1 @t20)) (* 1 (- @t30 0))))) % 0.37/0.62 (step @p58 :rule arith_poly_norm_rel :premises (@p57) :args ((= @t57 @t31))) % 0.37/0.62 (step @p59 :rule arith-elim-leq :args (@t20 @t1)) % 0.37/0.62 (step @p60 :rule trans :premises (@p59 @p58)) % 0.37/0.62 (step @p61 :rule cong :premises (@p60) :args ((not (<= @t20 @t1)))) % 0.37/0.62 (step @p62 :rule symm :premises (@p59)) % 0.37/0.62 (step @p63 :rule cong :premises (@p62) :args ((not @t57))) % 0.37/0.62 (step @p64 :rule arith-elim-gt :args (@t20 @t1)) % 0.37/0.62 (step @p65 :rule trans :premises (@p64 @p63)) % 0.37/0.62 (step @p66 :rule trans :premises (@p65 @p61)) % 0.37/0.62 (step @p67 :rule cong :premises (@p66) :args (@t22)) % 0.37/0.62 (step @p68 :rule nary_cong :premises (@p67 @p56) :args (@t23)) % 0.37/0.62 (step @p69 :rule cong :premises (@p68 @p55) :args (@t24)) % 0.37/0.62 (step @p70 :rule cong :premises (@p69) :args (@t26)) % 0.37/0.62 (step @p71 :rule trans :premises (@p70 @p44)) % 0.37/0.62 (step @p72 :rule cong :premises (@p71) :args (@t27)) % 0.37/0.62 (step @p73 :rule eq_resolve :premises (@p3 @p72)) % 0.37/0.62 (step @p74 :rule skolemize :premises (@p73)) % 0.37/0.62 (step @p75 :rule bool-double-not-elim :args (@t66)) % 0.37/0.62 (step @p76 :rule refl :args (@t70)) % 0.37/0.62 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t70 (not @t67)))) % 0.37/0.62 (step @p78 :rule cnf_or_neg :args (@t70 1)) % 0.37/0.62 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.37/0.62 (step @p80 :rule reordering :premises (@p79) :args ((or @t66 @t70))) % 0.37/0.62 (step @p81 :rule chain_m_resolution :premises (@p80 @p74) :args (@t66 @t71 @t72)) % 0.37/0.62 (step @p82 :rule arith_poly_norm :args ((= (* 1 (- @t4 @t1)) (* -1 (- @t1 @t4))))) % 0.37/0.62 (step @p83 :rule arith_poly_norm_rel :premises (@p82) :args ((= @t5 @t73))) % 0.37/0.62 (step @p84 :rule cong :premises (@p83) :args (@t7)) % 0.37/0.62 (step @p85 :rule eq_resolve :premises (@p1 @p84)) % 0.37/0.62 (step @p86 :rule arith_poly_norm :args ((= (* -5 (- 5 @t74)) (* 5 (- @t74 5))))) % 0.37/0.62 (step @p87 :rule arith_poly_norm_rel :premises (@p86) :args ((= @t76 @t75))) % 0.37/0.62 (step @p88 :rule refl :args (@t77)) % 0.37/0.62 (step @p89 :rule cong :premises (@p88 @p87) :args ((=> @t77 @t76))) % 0.37/0.62 (assume-push @p342 @t77) % 0.37/0.62 (step @p91 :rule instantiate :premises (@p85) :args (@t78)) % 0.37/0.62 (step-pop @p343 :rule scope :premises (@p91)) % 0.37/0.62 (step @p92 :rule process_scope :premises (@p343) :args (@t76)) % 0.37/0.62 (step @p94 :rule eq_resolve :premises (@p92 @p89)) % 0.37/0.62 (step @p95 :rule implies_elim :premises (@p94)) % 0.37/0.62 (step @p96 :rule chain_m_resolution :premises (@p95 @p85) :args (@t75 @t79 @t80)) % 0.37/0.62 (step @p97 :rule refl :args (@t82)) % 0.37/0.62 (step @p98 :rule arith_poly_norm :args ((= (* -7 (- 7 @t59)) (* 7 (- @t59 7))))) % 0.37/0.62 (step @p99 :rule arith_poly_norm_rel :premises (@p98) :args ((= @t84 @t83))) % 0.37/0.62 (step @p100 :rule nary_cong :premises (@p99 @p97) :args (@t85)) % 0.37/0.62 (step @p101 :rule refl :args (@t12)) % 0.37/0.62 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t12 @t85))) % 0.37/0.62 (assume-push @p344 @t12) % 0.37/0.62 (step @p104 :rule instantiate :premises (@p2) :args ((@list @t61 7 @t59 9))) % 0.37/0.62 (step-pop @p345 :rule scope :premises (@p104)) % 0.37/0.62 (step @p105 :rule process_scope :premises (@p345) :args (@t85)) % 0.37/0.62 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 0.37/0.62 (step @p108 :rule implies_elim :premises (@p107)) % 0.37/0.62 (step @p109 :rule chain_m_resolution :premises (@p108 @p2) :args (@t86 @t79 @t87)) % 0.37/0.62 (step @p110 :rule arith_poly_norm :args ((= (* -9 (- 9 @t88)) (* 9 (- @t88 9))))) % 0.37/0.62 (step @p111 :rule arith_poly_norm_rel :premises (@p110) :args ((= @t90 @t89))) % 0.37/0.62 (step @p112 :rule cong :premises (@p88 @p111) :args ((=> @t77 @t90))) % 0.37/0.62 (assume-push @p346 @t77) % 0.37/0.62 (step @p114 :rule instantiate :premises (@p85) :args (@t91)) % 0.37/0.62 (step-pop @p347 :rule scope :premises (@p114)) % 0.37/0.62 (step @p115 :rule process_scope :premises (@p347) :args (@t90)) % 0.37/0.62 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 0.37/0.62 (step @p118 :rule implies_elim :premises (@p117)) % 0.37/0.62 (step @p119 :rule chain_m_resolution :premises (@p118 @p85) :args (@t89 @t79 @t80)) % 0.37/0.62 (assume-push @p348 @t83) % 0.37/0.62 (assume-push @p349 @t92) % 0.37/0.62 (assume-push @p350 @t66) % 0.37/0.62 (step @p123 :rule arith-elim-lt :args (@t65 0)) % 0.37/0.62 (step @p124 :rule symm :premises (@p123)) % 0.37/0.62 (assume-push @p351 @t66) % 0.37/0.62 (step @p126 :rule evaluate :args (@t93)) % 0.37/0.62 (step @p127 :rule evaluate :args ((+ 0 -9 7))) % 0.37/0.62 (step @p128 :rule refl :args (7)) % 0.37/0.62 (step @p129 :rule evaluate :args (@t94)) % 0.37/0.62 (step @p130 :rule evaluate :args (@t95)) % 0.37/0.62 (step @p131 :rule nary_cong :premises (@p130 @p129 @p128) :args (@t96)) % 0.37/0.62 (step @p132 :rule trans :premises (@p131 @p127)) % 0.37/0.62 (step @p133 :rule arith_poly_norm :args ((= (+ @t97 @t64 @t59) 0))) % 0.37/0.62 (step 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:rule reordering :premises (@p206) :args ((or @t68 @t70))) % 0.37/0.62 (step @p208 :rule chain_m_resolution :premises (@p207 @p74) :args (@t68 @t71 @t72)) % 0.37/0.62 (step @p209 :rule instantiate :premises (@p208) :args ((@list @t59))) % 0.37/0.62 (step @p210 :rule bool-double-not-elim :args (@t112)) % 0.37/0.62 (step @p211 :rule refl :args (@t113)) % 0.37/0.62 (step @p212 :rule refl :args (@t114)) % 0.37/0.62 (step @p213 :rule refl :args (@t67)) % 0.37/0.62 (step @p214 :rule nary_cong :premises (@p213 @p212 @p211 @p210) :args ((or @t67 @t114 @t113 (not @t115)))) % 0.37/0.62 (assume-push @p370 @t115) % 0.37/0.62 (assume-push @p371 @t66) % 0.37/0.62 (assume-push @p372 @t116) % 0.37/0.62 (assume-push @p373 @t118) % 0.37/0.62 (step @p219 :rule evaluate :args ((>= 0 0))) % 0.37/0.62 (step @p220 :rule evaluate :args ((+ 0 0 0))) % 0.37/0.62 (step @p221 :rule refl :args (0)) % 0.37/0.62 (step @p130 :rule evaluate :args (@t95)) % 0.37/0.62 (step @p222 :rule nary_cong :premises (@p130 @p130 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process_scope :premises (@p374) :args (false)) % 0.37/0.62 (step @p248 :rule arith_poly_norm :args ((= (* 1 (- @t117 0)) (* 1 (- @t63 @t104))))) % 0.37/0.62 (step @p249 :rule arith_poly_norm_rel :premises (@p248) :args ((= @t118 @t116))) % 0.37/0.62 (step @p250 :rule symm :premises (@p249)) % 0.37/0.62 (step @p251 :rule eq_resolve :premises (@p372 @p250)) % 0.37/0.62 (step @p252 false :rule contra :premises (@p251 @p246)) % 0.37/0.62 (step-pop @p375 :rule scope :premises (@p252)) % 0.37/0.62 (step-pop @p376 :rule scope :premises (@p375)) % 0.37/0.62 (step-pop @p377 :rule scope :premises (@p376)) % 0.37/0.62 (step @p253 :rule process_scope :premises (@p377) :args (false)) % 0.37/0.62 (assume-push @p378 @t66) % 0.37/0.62 (assume-push @p379 @t82) % 0.37/0.62 (assume-push @p380 @t105) % 0.37/0.62 (assume-push @p381 @t115) % 0.37/0.62 (assume-push @p382 @t105) % 0.37/0.62 (assume-push @p383 @t82) % 0.37/0.62 (step @p263 :rule trans :premises (@p379 @p380)) % 0.37/0.62 (step-pop @p384 :rule scope :premises (@p263)) % 0.37/0.62 (step-pop @p385 :rule scope :premises (@p384)) % 0.37/0.62 (step @p264 :rule process_scope :premises (@p385) :args (@t116)) % 0.37/0.62 (step @p267 :rule and_intro :premises (@p380 @p379)) % 0.37/0.62 (step @p268 :rule modus_ponens :premises (@p267 @p264)) % 0.37/0.62 (step @p269 :rule and_intro :premises (@p209 @p81 @p268)) % 0.37/0.62 (step-pop @p386 :rule scope :premises (@p269)) % 0.37/0.62 (step-pop @p387 :rule scope :premises (@p386)) % 0.37/0.62 (step-pop @p388 :rule scope :premises (@p387)) % 0.37/0.62 (step-pop @p389 :rule scope :premises (@p388)) % 0.37/0.62 (step @p270 :rule process_scope :premises (@p389) :args (@t125)) % 0.37/0.62 (step @p275 :rule implies_elim :premises (@p270)) % 0.37/0.62 (step @p276 :rule resolution :premises (@p275 @p253) :args (true @t125)) % 0.37/0.62 (step @p277 :rule not_and :premises (@p276)) % 0.37/0.62 (step @p278 :rule eq_resolve :premises (@p277 @p214)) % 0.37/0.62 (step @p279 :rule chain_m_resolution :premises (@p278 @p81 @p190 @p209) :args (@t113 (@list false false true) (@list @t66 @t82 @t112))) % 0.37/0.62 (step @p280 :rule cnf_or_pos :args (@t109)) % 0.37/0.62 (step @p281 :rule reordering :premises (@p280) :args ((or @t105 @t106 (not @t109)))) % 0.37/0.62 (step @p282 :rule chain_m_resolution :premises (@p281 @p279 @p202) :args (@t106 @t103 (@list @t105 @t109))) % 0.37/0.62 (assume-push @p390 @t106) % 0.37/0.62 (assume-push @p391 @t66) % 0.37/0.62 (assume-push @p392 @t126) % 0.37/0.62 (assume-push @p393 @t127) % 0.37/0.62 (step @p126 :rule evaluate :args (@t93)) % 0.37/0.62 (step @p287 :rule evaluate :args ((+ -5 0 3))) % 0.37/0.62 (step @p288 :rule refl :args (3)) % 0.37/0.62 (step @p130 :rule evaluate :args (@t95)) % 0.37/0.62 (step @p289 :rule evaluate :args (@t128)) % 0.37/0.62 (step @p290 :rule nary_cong :premises (@p289 @p130 @p288) :args (@t129)) % 0.37/0.62 (step @p291 :rule trans :premises (@p290 @p287)) % 0.37/0.62 (step @p292 :rule arith_poly_norm :args ((= (+ @t64 @t97 @t59) 0))) % 0.37/0.62 (step @p134 :rule refl :args (@t59)) % 0.37/0.62 (step @p136 :rule arith_poly_norm :args (@t99)) % 0.37/0.62 (step @p135 :rule refl :args (@t64)) % 0.37/0.62 (step @p293 :rule nary_cong :premises (@p135 @p136 @p134) :args (@t130)) % 0.37/0.62 (step @p294 :rule trans :premises (@p293 @p292)) % 0.37/0.62 (step @p295 :rule cong :premises (@p294 @p291) :args ((<= @t130 @t129))) % 0.37/0.62 (step @p296 :rule trans :premises (@p295 @p126)) % 0.37/0.62 (step @p147 :rule arith_mult_neg :args (-1 @t66)) % 0.37/0.62 (step @p143 :rule evaluate :args (@t101)) % 0.37/0.62 (step @p144 :rule true_elim :premises (@p143)) % 0.37/0.62 (step @p148 :rule and_intro :premises (@p144 @p81)) % 0.37/0.62 (step @p149 :rule modus_ponens :premises (@p148 @p147)) % 0.37/0.62 (step @p297 :rule arith_mult_neg :args (-1 @t127)) % 0.37/0.62 (step @p298 :rule and_intro :premises (@p144 @p393)) % 0.37/0.62 (step @p299 :rule modus_ponens :premises (@p298 @p297)) % 0.37/0.62 (step @p300 :rule arith_sum_ub :premises (@p299 @p149 @p390)) % 0.37/0.62 (step @p301 false :rule eq_resolve :premises (@p300 @p296)) % 0.37/0.62 (step-pop @p394 :rule scope :premises (@p301)) % 0.37/0.62 (step @p302 :rule process_scope :premises (@p394) :args (false)) % 0.37/0.62 (step @p304 :rule symm :premises (@p392)) % 0.37/0.62 (step @p305 false :rule contra :premises (@p304 @p302)) % 0.37/0.62 (step-pop @p395 :rule scope :premises (@p305)) % 0.37/0.62 (step-pop @p396 :rule scope :premises (@p395)) % 0.37/0.62 (step-pop @p397 :rule scope :premises (@p396)) % 0.37/0.62 (step @p306 :rule process_scope :premises (@p397) :args (false)) % 0.37/0.62 (assume-push @p398 @t66) % 0.37/0.62 (assume-push @p399 @t75) % 0.37/0.62 (assume-push @p400 @t82) % 0.37/0.62 (assume-push @p401 @t106) % 0.37/0.62 (assume-push @p402 @t82) % 0.37/0.62 (assume-push @p403 @t107) % 0.37/0.62 (assume-push @p404 @t76) % 0.37/0.62 (step @p317 :rule symm :premises (@p400)) % 0.37/0.62 (step @p318 :rule refl :args (@t61)) % 0.37/0.62 (step @p319 :rule cong :premises (@p318 @p403) :args (@t74)) % 0.37/0.62 (step @p91 :rule instantiate :premises (@p85) :args (@t78)) % 0.37/0.62 (step @p320 :rule trans :premises (@p91 @p319 @p317)) % 0.37/0.62 (step-pop @p405 :rule scope :premises (@p320)) % 0.37/0.62 (step-pop @p406 :rule scope :premises (@p405)) % 0.37/0.62 (step-pop @p407 :rule scope :premises (@p406)) % 0.37/0.62 (step @p321 :rule process_scope :premises (@p407) :args (@t126)) % 0.37/0.62 (step @p91 :rule instantiate :premises (@p85) :args (@t78)) % 0.37/0.62 (assume-push @p408 @t106) % 0.37/0.62 (step @p326 :rule symm :premises (@p401)) % 0.37/0.62 (step-pop @p409 :rule scope :premises (@p326)) % 0.37/0.62 (step @p327 :rule process_scope :premises (@p409) :args (@t107)) % 0.37/0.62 (step @p329 :rule modus_ponens :premises (@p401 @p327)) % 0.37/0.62 (step @p330 :rule and_intro :premises (@p400 @p329 @p91)) % 0.37/0.62 (step @p331 :rule modus_ponens :premises (@p330 @p321)) % 0.37/0.62 (step @p332 :rule and_intro :premises (@p401 @p81 @p331)) % 0.37/0.62 (step-pop @p410 :rule scope :premises (@p332)) % 0.37/0.62 (step-pop @p411 :rule scope :premises (@p410)) % 0.37/0.62 (step-pop @p412 :rule scope :premises (@p411)) % 0.37/0.62 (step-pop @p413 :rule scope :premises (@p412)) % 0.37/0.62 (step @p333 :rule process_scope :premises (@p413) :args (@t131)) % 0.37/0.62 (step @p338 :rule implies_elim :premises (@p333)) % 0.37/0.62 (step @p339 :rule resolution :premises (@p338 @p306) :args (true @t131)) % 0.37/0.62 (step @p340 :rule not_and :premises (@p339)) % 0.37/0.62 (step @p341 false :rule chain_m_resolution :premises (@p340 @p282 @p190 @p96 @p81) :args (false (@list false false false false) (@list @t106 @t82 @t75 @t66))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------