%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT076_1 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:14:28 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT076_1 : TPTP v9.2.1. Released v6.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.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 : Mon Jun 1 22:26:31 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_ARI % 0.37/0.58 --- Run --finite-model-find --decision=internal at 45... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort tptp.array 0) % 0.37/0.58 (declare-const tptp.rev (-> tptp.array Int tptp.array)) % 0.37/0.58 (declare-const tptp.distinct (-> tptp.array Int Bool)) % 0.37/0.58 (declare-const tptp.sorted (-> tptp.array Int Bool)) % 0.37/0.58 (declare-const tptp.max (-> tptp.array Int Int)) % 0.37/0.58 (declare-const tptp.init (-> Int tptp.array)) % 0.37/0.58 (declare-const tptp.inRange (-> tptp.array Int Int Bool)) % 0.37/0.58 (declare-const tptp.read (-> tptp.array Int Int)) % 0.37/0.58 (declare-const tptp.write (-> tptp.array Int Int tptp.array)) % 0.37/0.58 (define @t1 () (@var "V" Int)) % 0.37/0.58 (define @t2 () (@var "I" Int)) % 0.37/0.58 (define @t3 () (@var "A" tptp.array)) % 0.37/0.58 (define @t4 () (tptp.write @t3 @t2 @t1)) % 0.37/0.58 (define @t5 () (@var "J" Int)) % 0.37/0.58 (define @t6 () (tptp.read @t3 @t5)) % 0.37/0.58 (define @t7 () (= @t2 @t5)) % 0.37/0.58 (define @t8 () (@var "B" tptp.array)) % 0.37/0.58 (define @t9 () (tptp.read @t8 @t2)) % 0.37/0.58 (define @t10 () (tptp.read @t3 @t2)) % 0.37/0.58 (define @t11 () (= @t10 @t9)) % 0.37/0.58 (define @t12 () (@list @t2)) % 0.37/0.58 (define @t13 () (@var "W" Int)) % 0.37/0.58 (define @t14 () (@var "N" Int)) % 0.37/0.58 (define @t15 () (>= @t2 0)) % 0.37/0.58 (define @t16 () (> @t14 @t2)) % 0.37/0.58 (define @t17 () (and @t16 @t15)) % 0.37/0.58 (define @t18 () (<= 0 @t2)) % 0.37/0.58 (define @t19 () (and @t18 (< @t2 @t14) (< @t2 @t5) (< @t5 @t14))) % 0.37/0.58 (define @t20 () (=> @t19 (<= @t10 @t6))) % 0.37/0.58 (define @t21 () (@list @t2 @t5)) % 0.37/0.58 (define @t22 () (forall @t21 @t20)) % 0.37/0.58 (define @t23 () (tptp.sorted @t3 @t14)) % 0.37/0.58 (define @t24 () (= @t23 @t22)) % 0.37/0.58 (define @t25 () (@list @t3 @t14)) % 0.37/0.58 (define @t26 () (forall @t25 @t24)) % 0.37/0.58 (define @t27 () (@var "R" Int)) % 0.37/0.58 (define @t28 () (>= @t5 0)) % 0.37/0.58 (define @t29 () (tptp.rev @t3 @t14)) % 0.37/0.58 (define @t30 () (= @t9 @t10)) % 0.37/0.58 (define @t31 () (>= @t2 @t14)) % 0.37/0.58 (define @t32 () (or (> 0 @t2) @t31)) % 0.37/0.58 (define @t33 () (and @t32 @t30)) % 0.37/0.58 (define @t34 () (+ @t2 1)) % 0.37/0.58 (define @t35 () (- @t14 @t34)) % 0.37/0.58 (define @t36 () (tptp.read @t3 @t35)) % 0.37/0.58 (define @t37 () (= @t9 @t36)) % 0.37/0.58 (define @t38 () (and @t15 @t16 @t37)) % 0.37/0.58 (define @t39 () (or @t38 @t33)) % 0.37/0.58 (define @t40 () (forall @t12 @t39)) % 0.37/0.58 (define @t41 () (=> @t40 (= @t29 @t8))) % 0.37/0.58 (define @t42 () (@list @t3 @t8 @t14)) % 0.37/0.58 (define @t43 () (forall @t42 @t41)) % 0.37/0.58 (define @t44 () (not (tptp.sorted @t29 @t14))) % 0.37/0.58 (define @t45 () (forall @t25 (=> @t23 @t44))) % 0.37/0.58 (define @t46 () (* -1 @t14)) % 0.37/0.58 (define @t47 () (+ @t2 @t46)) % 0.37/0.58 (define @t48 () (>= @t47 0)) % 0.37/0.58 (define @t49 () (not @t15)) % 0.37/0.58 (define @t50 () (* -1 @t2)) % 0.37/0.58 (define @t51 () (+ -1 @t50 @t14)) % 0.37/0.58 (define @t52 () (not @t48)) % 0.37/0.58 (define @t53 () (forall @t12 (or (and @t15 @t52 (= @t9 (tptp.read @t3 @t51))) (and (or @t49 @t48) @t11)))) % 0.37/0.58 (define @t54 () (= @t8 @t29)) % 0.37/0.58 (define @t55 () (= @t31 @t48)) % 0.37/0.58 (define @t56 () (+ -1 @t50)) % 0.37/0.58 (define @t57 () (+ 1 @t2)) % 0.37/0.58 (define @t58 () (* -1 @t34)) % 0.37/0.58 (define @t59 () (+ @t14 @t58)) % 0.37/0.58 (define @t60 () (not @t31)) % 0.37/0.58 (define @t61 () (@const 0 tptp.array)) % 0.37/0.58 (define @t62 () (@list @t61 0)) % 0.37/0.58 (define @t63 () (+ @t6 (* -1 @t10))) % 0.37/0.58 (define @t64 () (>= @t63 0)) % 0.37/0.58 (define @t65 () (+ @t5 @t46)) % 0.37/0.58 (define @t66 () (>= @t65 0)) % 0.37/0.58 (define @t67 () (+ @t2 (* -1 @t5))) % 0.37/0.58 (define @t68 () (>= @t67 0)) % 0.37/0.58 (define @t69 () (or @t49 @t48 @t68 @t66 @t64)) % 0.37/0.58 (define @t70 () (not @t66)) % 0.37/0.58 (define @t71 () (not @t70)) % 0.37/0.58 (define @t72 () (not @t68)) % 0.37/0.58 (define @t73 () (not @t72)) % 0.37/0.58 (define @t74 () (not @t52)) % 0.37/0.58 (define @t75 () (or @t49 @t74 @t73 @t71)) % 0.37/0.58 (define @t76 () (and @t15 @t52 @t72 @t70)) % 0.37/0.58 (define @t77 () (>= @t5 @t14)) % 0.37/0.58 (define @t78 () (>= @t2 @t5)) % 0.37/0.58 (define @t79 () (tptp.sorted @t61 0)) % 0.37/0.58 (define @t80 () (tptp.read @t61 @t2)) % 0.37/0.58 (define @t81 () (>= (+ (tptp.read @t61 @t5) (* -1 @t80)) 0)) % 0.37/0.58 (define @t82 () (* -1 0)) % 0.37/0.58 (define @t83 () (+ @t5 @t82)) % 0.37/0.58 (define @t84 () (>= @t83 0)) % 0.37/0.58 (define @t85 () (+ @t2 @t82)) % 0.37/0.58 (define @t86 () (>= @t85 0)) % 0.37/0.58 (define @t87 () (or @t49 @t86 @t68 @t84 @t81)) % 0.37/0.58 (define @t88 () (forall @t21 @t87)) % 0.37/0.58 (define @t89 () (= @t79 @t88)) % 0.37/0.58 (define @t90 () (forall @t25 (= @t23 (forall @t21 @t69)))) % 0.37/0.58 (define @t91 () (tptp.rev @t61 0)) % 0.37/0.58 (define @t92 () (tptp.sorted @t91 0)) % 0.37/0.58 (define @t93 () (not @t92)) % 0.37/0.58 (define @t94 () (not @t79)) % 0.37/0.58 (define @t95 () (or @t94 @t93)) % 0.37/0.58 (define @t96 () (= @t61 @t91)) % 0.37/0.58 (define @t97 () (not @t96)) % 0.37/0.58 (define @t98 () (and @t93 @t96 @t79)) % 0.37/0.58 (define @t99 () (= @t80 (tptp.read @t61 @t56))) % 0.37/0.58 (define @t100 () (and @t15 @t49 @t99)) % 0.37/0.58 (define @t101 () (or @t100 @t49 @t15)) % 0.37/0.58 (define @t102 () (or @t49 @t15)) % 0.37/0.58 (define @t103 () (or @t49 @t86)) % 0.37/0.58 (define @t104 () (and @t103 (= @t80 @t80))) % 0.37/0.58 (define @t105 () (+ -1 @t50 0)) % 0.37/0.58 (define @t106 () (tptp.read @t61 @t105)) % 0.37/0.58 (define @t107 () (= @t80 @t106)) % 0.37/0.58 (define @t108 () (not @t86)) % 0.37/0.58 (define @t109 () (and @t15 @t108 @t107)) % 0.37/0.58 (define @t110 () (or @t109 @t104)) % 0.37/0.58 (define @t111 () (forall @t12 @t110)) % 0.37/0.58 (define @t112 () (not @t111)) % 0.37/0.58 (define @t113 () (or @t112 @t96)) % 0.37/0.58 (define @t114 () (forall @t42 (or (not @t53) @t54))) % 0.37/0.58 (assume @p1 (forall (@list @t3 @t2 @t1) (= (tptp.read @t4 @t2) @t1))) % 0.37/0.58 (assume @p2 (forall (@list @t3 @t2 @t5 @t1) (or @t7 (= (tptp.read @t4 @t5) @t6)))) % 0.37/0.58 (assume @p3 (forall (@list @t3 @t8) (=> (forall @t12 @t11) (= @t3 @t8)))) % 0.37/0.58 (assume @p4 (forall (@list @t1 @t2) (= (tptp.read (tptp.init @t1) @t2) @t1))) % 0.37/0.58 (assume @p5 (forall (@list @t3 @t14 @t13) (=> (and (forall @t12 (=> @t17 (<= @t10 @t13))) (exists @t12 (and @t16 @t15 (= @t10 @t13)))) (= (tptp.max @t3 @t14) @t13)))) % 0.37/0.58 (assume @p6 @t26) % 0.37/0.58 (assume @p7 (forall (@list @t3 @t27 @t14) (= (tptp.inRange @t3 @t27 @t14) (forall @t12 (=> @t17 (and (>= @t27 @t10) (>= @t10 0))))))) % 0.37/0.58 (assume @p8 (forall @t25 (= (tptp.distinct @t3 @t14) (forall @t21 (=> (and @t16 (> @t14 @t5) @t28 @t15) (=> (= @t10 @t6) @t7)))))) % 0.37/0.58 (assume @p9 @t43) % 0.37/0.58 (assume @p10 (not (not @t45))) % 0.37/0.58 (assume @p11 true) % 0.37/0.58 (step @p12 :rule bool-impl-elim :args (@t53 @t54)) % 0.37/0.58 (step @p13 :rule cong :premises (@p12) :args ((forall @t42 (=> @t53 @t54)))) % 0.37/0.58 (step @p14 :rule eq-symm :args (@t29 @t8)) % 0.37/0.58 (step @p15 :rule arith_poly_norm :args ((= (* 1 (- @t9 @t10)) (* -1 (- @t10 @t9))))) % 0.37/0.58 (step @p16 :rule arith_poly_norm_rel :premises (@p15) :args ((= @t30 @t11))) % 0.37/0.58 (step @p17 :rule arith_poly_norm :args ((= (* 1 (- @t2 @t14)) (* 1 (- @t47 0))))) % 0.37/0.58 (step @p18 :rule arith_poly_norm_rel :premises (@p17) :args (@t55)) % 0.37/0.58 (step @p19 :rule arith-elim-leq :args (0 @t2)) % 0.37/0.58 (step @p20 :rule cong :premises (@p19) :args ((not @t18))) % 0.37/0.58 (step @p21 :rule arith-elim-leq :args (0 @t2)) % 0.37/0.58 (step @p22 :rule symm :premises (@p21)) % 0.37/0.58 (step @p23 :rule cong :premises (@p22) :args (@t49)) % 0.37/0.58 (step @p24 :rule arith-elim-gt :args (0 @t2)) % 0.37/0.58 (step @p25 :rule trans :premises (@p24 @p23)) % 0.37/0.58 (step @p26 :rule trans :premises (@p25 @p20)) % 0.37/0.58 (step @p27 :rule nary_cong :premises (@p26 @p18) :args (@t32)) % 0.37/0.58 (step @p28 :rule nary_cong :premises (@p27 @p16) :args (@t33)) % 0.37/0.58 (step @p29 :rule arith_poly_norm :args ((= (+ @t14 @t56) @t51))) % 0.37/0.58 (step @p30 :rule arith_poly_norm :args ((= (* -1 @t57) @t56))) % 0.37/0.58 (step @p31 :rule arith_poly_norm :args ((= @t34 @t57))) % 0.37/0.58 (step @p32 :rule refl :args (-1)) % 0.37/0.58 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t58)) % 0.37/0.58 (step @p34 :rule trans :premises (@p33 @p30)) % 0.37/0.58 (step @p35 :rule refl :args (@t14)) % 0.37/0.58 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t59)) % 0.37/0.58 (step @p37 :rule trans :premises (@p36 @p29)) % 0.37/0.58 (step @p38 :rule arith_poly_norm :args ((= @t35 @t59))) % 0.37/0.58 (step @p39 :rule trans :premises (@p38 @p37)) % 0.37/0.58 (step @p40 :rule refl :args (@t3)) % 0.37/0.58 (step @p41 :rule cong :premises (@p40 @p39) :args (@t36)) % 0.37/0.58 (step @p42 :rule refl :args (@t9)) % 0.37/0.58 (step @p43 :rule cong :premises (@p42 @p41) :args (@t37)) % 0.37/0.58 (step @p44 :rule arith_poly_norm_rel :premises (@p17) :args (@t55)) % 0.37/0.58 (step @p45 :rule arith-elim-leq :args (@t14 @t2)) % 0.37/0.58 (step @p46 :rule trans :premises (@p45 @p44)) % 0.37/0.58 (step @p47 :rule cong :premises (@p46) :args ((not (<= @t14 @t2)))) % 0.37/0.58 (step @p48 :rule symm :premises (@p45)) % 0.37/0.58 (step @p49 :rule cong :premises (@p48) :args (@t60)) % 0.37/0.58 (step @p50 :rule arith-elim-gt :args (@t14 @t2)) % 0.37/0.58 (step @p51 :rule trans :premises (@p50 @p49)) % 0.37/0.58 (step @p52 :rule trans :premises (@p51 @p47)) % 0.37/0.58 (step @p53 :rule refl :args (@t15)) % 0.37/0.58 (step @p54 :rule nary_cong :premises (@p53 @p52 @p43) :args (@t38)) % 0.37/0.58 (step @p55 :rule nary_cong :premises (@p54 @p28) :args (@t39)) % 0.37/0.58 (step @p56 :rule cong :premises (@p55) :args (@t40)) % 0.37/0.58 (step @p57 :rule cong :premises (@p56 @p14) :args (@t41)) % 0.37/0.58 (step @p58 :rule cong :premises (@p57) :args (@t43)) % 0.37/0.58 (step @p59 :rule trans :premises (@p58 @p13)) % 0.37/0.58 (step @p60 :rule eq_resolve :premises (@p9 @p59)) % 0.37/0.58 (step @p61 :rule bool-impl-elim :args (@t23 @t44)) % 0.37/0.58 (step @p62 :rule cong :premises (@p61) :args (@t45)) % 0.37/0.58 (step @p63 :rule bool-double-not-elim :args (@t45)) % 0.37/0.58 (step @p64 :rule trans :premises (@p63 @p62)) % 0.37/0.58 (step @p65 :rule eq_resolve :premises (@p10 @p64)) % 0.37/0.58 (step @p66 :rule instantiate :premises (@p65) :args (@t62)) % 0.37/0.58 (step @p67 :rule aci_norm :args ((= (or (or @t49 @t48 @t68 @t66) @t64) @t69))) % 0.37/0.58 (step @p68 :rule refl :args (@t64)) % 0.37/0.58 (step @p69 :rule bool-double-not-elim :args (@t66)) % 0.37/0.58 (step @p70 :rule bool-double-not-elim :args (@t68)) % 0.37/0.58 (step @p71 :rule bool-double-not-elim :args (@t48)) % 0.37/0.58 (step @p72 :rule refl :args (@t49)) % 0.37/0.58 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70 @p69) :args (@t75)) % 0.37/0.58 (step @p74 :rule aci_norm :args ((= (or @t49 (or @t74 (or @t73 @t71))) @t75))) % 0.37/0.58 (step @p75 :rule trans :premises (@p74 @p73)) % 0.37/0.58 (step @p76 :rule bool-and-de-morgan :args (@t72 @t70 true)) % 0.37/0.58 (step @p77 :rule refl :args (@t74)) % 0.37/0.58 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t74 (not (and @t72 @t70))))) % 0.37/0.58 (step @p79 :rule bool-and-de-morgan :args (@t52 @t72 (and @t70))) % 0.37/0.58 (step @p80 :rule trans :premises (@p79 @p78)) % 0.37/0.58 (step @p81 :rule nary_cong :premises (@p72 @p80) :args ((or @t49 (not (and @t52 @t72 @t70))))) % 0.37/0.58 (step @p82 :rule bool-and-de-morgan :args (@t15 @t52 (and @t72 @t70))) % 0.37/0.58 (step @p83 :rule trans :premises (@p82 @p81)) % 0.37/0.58 (step @p84 :rule trans :premises (@p83 @p75)) % 0.37/0.58 (step @p85 :rule nary_cong :premises (@p84 @p68) :args ((or (not @t76) @t64))) % 0.37/0.58 (step @p86 :rule trans :premises (@p85 @p67)) % 0.37/0.58 (step @p87 :rule bool-impl-elim :args (@t76 @t64)) % 0.37/0.58 (step @p88 :rule trans :premises (@p87 @p86)) % 0.37/0.58 (step @p89 :rule cong :premises (@p88) :args ((forall @t21 (=> @t76 @t64)))) % 0.37/0.58 (step @p90 :rule arith_poly_norm :args ((= (* 1 (- @t6 @t10)) (* 1 (- @t63 0))))) % 0.37/0.58 (step @p91 :rule arith_poly_norm_rel :premises (@p90) :args ((= (>= @t6 @t10) @t64))) % 0.37/0.58 (step @p92 :rule arith-elim-leq :args (@t10 @t6)) % 0.37/0.58 (step @p93 :rule trans :premises (@p92 @p91)) % 0.37/0.58 (step @p94 :rule arith_poly_norm :args ((= (* 1 (- @t5 @t14)) (* 1 (- @t65 0))))) % 0.37/0.58 (step @p95 :rule arith_poly_norm_rel :premises (@p94) :args ((= @t77 @t66))) % 0.37/0.58 (step @p96 :rule cong :premises (@p95) :args ((not @t77))) % 0.37/0.58 (step @p97 :rule arith-elim-lt :args (@t5 @t14)) % 0.37/0.58 (step @p98 :rule trans :premises (@p97 @p96)) % 0.37/0.58 (step @p99 :rule arith_poly_norm :args ((= (* 1 (- @t2 @t5)) (* 1 (- @t67 0))))) % 0.37/0.58 (step @p100 :rule arith_poly_norm_rel :premises (@p99) :args ((= @t78 @t68))) % 0.37/0.58 (step @p101 :rule cong :premises (@p100) :args ((not @t78))) % 0.37/0.58 (step @p102 :rule arith-elim-lt :args (@t2 @t5)) % 0.37/0.58 (step @p103 :rule trans :premises (@p102 @p101)) % 0.37/0.58 (step @p104 :rule cong :premises (@p18) :args (@t60)) % 0.37/0.58 (step @p105 :rule arith-elim-lt :args (@t2 @t14)) % 0.37/0.58 (step @p106 :rule trans :premises (@p105 @p104)) % 0.37/0.58 (step @p107 :rule nary_cong :premises (@p19 @p106 @p103 @p98) :args (@t19)) % 0.37/0.58 (step @p108 :rule cong :premises (@p107 @p93) :args (@t20)) % 0.37/0.58 (step @p109 :rule cong :premises (@p108) :args (@t22)) % 0.37/0.58 (step @p110 :rule trans :premises (@p109 @p89)) % 0.37/0.58 (step @p111 :rule refl :args (@t23)) % 0.37/0.58 (step @p112 :rule cong :premises (@p111 @p110) :args (@t24)) % 0.37/0.58 (step @p113 :rule cong :premises (@p112) :args (@t26)) % 0.37/0.58 (step @p114 :rule eq_resolve :premises (@p6 @p113)) % 0.37/0.58 (step @p115 :rule bool-eq-true :args (@t79)) % 0.37/0.58 (step @p116 :rule quant-unused-vars :args ((= (forall @t21 true) true))) % 0.37/0.58 (step @p117 :rule bool-or-taut2 :args (false @t15 false (or @t68 @t28 @t81))) % 0.37/0.58 (step @p118 :rule cong :premises (@p117) :args ((forall @t21 (or @t49 @t15 @t68 @t28 @t81)))) % 0.37/0.58 (step @p119 :rule trans :premises (@p118 @p116)) % 0.37/0.58 (step @p120 :rule refl :args (@t81)) % 0.37/0.58 (step @p121 :rule refl :args (0)) % 0.37/0.58 (step @p122 :rule arith_poly_norm :args ((= (+ @t5 0) @t5))) % 0.37/0.58 (step @p123 :rule evaluate :args (@t82)) % 0.37/0.58 (step @p124 :rule refl :args (@t5)) % 0.37/0.58 (step @p125 :rule nary_cong :premises (@p124 @p123) :args (@t83)) % 0.37/0.58 (step @p126 :rule trans :premises (@p125 @p122)) % 0.37/0.58 (step @p127 :rule cong :premises (@p126 @p121) :args (@t84)) % 0.37/0.58 (step @p128 :rule refl :args (@t68)) % 0.37/0.58 (step @p129 :rule arith_poly_norm :args ((= (+ @t2 0) @t2))) % 0.37/0.58 (step @p130 :rule refl :args (@t2)) % 0.37/0.58 (step @p131 :rule nary_cong :premises (@p130 @p123) :args (@t85)) % 0.37/0.58 (step @p132 :rule trans :premises (@p131 @p129)) % 0.37/0.58 (step @p133 :rule cong :premises (@p132 @p121) :args (@t86)) % 0.37/0.58 (step @p134 :rule refl :args (@t49)) % 0.37/0.58 (step @p135 :rule nary_cong :premises (@p134 @p133 @p128 @p127 @p120) :args (@t87)) % 0.37/0.58 (step @p136 :rule cong :premises (@p135) :args (@t88)) % 0.37/0.58 (step @p137 :rule trans :premises (@p136 @p119)) % 0.37/0.58 (step @p138 :rule refl :args (@t79)) % 0.37/0.58 (step @p139 :rule cong :premises (@p138 @p137) :args (@t89)) % 0.37/0.58 (step @p140 :rule trans :premises (@p139 @p115)) % 0.37/0.58 (step @p141 :rule refl :args (@t90)) % 0.37/0.58 (step @p142 :rule cong :premises (@p141 @p140) :args ((=> @t90 @t89))) % 0.37/0.58 (assume-push @p225 @t90) % 0.37/0.58 (step @p144 :rule instantiate :premises (@p114) :args (@t62)) % 0.37/0.58 (step-pop @p226 :rule scope :premises (@p144)) % 0.37/0.58 (step @p145 :rule process_scope :premises (@p226) :args (@t89)) % 0.37/0.58 (step @p147 :rule eq_resolve :premises (@p145 @p142)) % 0.37/0.58 (step @p148 :rule implies_elim :premises (@p147)) % 0.37/0.58 (step @p149 :rule chain_m_resolution :premises (@p148 @p114) :args (@t79 (@list false) (@list @t90))) % 0.37/0.58 (step @p150 :rule cnf_or_pos :args (@t95)) % 0.37/0.58 (step @p151 :rule reordering :premises (@p150) :args ((or @t94 @t93 (not @t95)))) % 0.37/0.58 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p66) :args (@t93 (@list false false) (@list @t79 @t95))) % 0.37/0.58 (step @p153 :rule refl :args (@t97)) % 0.37/0.58 (step @p154 :rule bool-double-not-elim :args (@t92)) % 0.37/0.58 (step @p155 :rule refl :args (@t94)) % 0.37/0.58 (step @p156 :rule nary_cong :premises (@p155 @p154 @p153) :args ((or @t94 (not @t93) @t97))) % 0.37/0.58 (assume-push @p227 @t93) % 0.37/0.58 (assume-push @p228 @t96) % 0.37/0.58 (assume-push @p229 @t79) % 0.37/0.58 (step @p160 :rule evaluate :args ((= true false))) % 0.37/0.58 (step @p161 :rule false_intro :premises (@p152)) % 0.37/0.58 (step @p162 :rule cong :premises (@p228 @p121) :args (@t79)) % 0.37/0.58 (step @p163 :rule true_intro :premises (@p149)) % 0.37/0.58 (step @p164 :rule symm :premises (@p163)) % 0.37/0.58 (step @p165 :rule trans :premises (@p164 @p162 @p161)) % 0.37/0.58 (step @p166 false :rule eq_resolve :premises (@p165 @p160)) % 0.37/0.58 (step-pop @p230 :rule scope :premises (@p166)) % 0.37/0.58 (step-pop @p231 :rule scope :premises (@p230)) % 0.37/0.58 (step-pop @p232 :rule scope :premises (@p231)) % 0.37/0.58 (step @p167 :rule process_scope :premises (@p232) :args (false)) % 0.37/0.58 (assume-push @p233 @t79) % 0.37/0.58 (assume-push @p234 @t93) % 0.37/0.58 (assume-push @p235 @t96) % 0.37/0.58 (step @p174 :rule and_intro :premises (@p152 @p235 @p149)) % 0.37/0.58 (step-pop @p236 :rule scope :premises (@p174)) % 0.37/0.58 (step-pop @p237 :rule scope :premises (@p236)) % 0.37/0.58 (step-pop @p238 :rule scope :premises (@p237)) % 0.37/0.58 (step @p175 :rule process_scope :premises (@p238) :args (@t98)) % 0.37/0.58 (step @p179 :rule implies_elim :premises (@p175)) % 0.37/0.58 (step @p180 :rule resolution :premises (@p179 @p167) :args (true @t98)) % 0.37/0.58 (step @p181 :rule not_and :premises (@p180)) % 0.37/0.58 (step @p182 :rule eq_resolve :premises (@p181 @p156)) % 0.37/0.58 (step @p183 :rule chain_m_resolution :premises (@p182 @p149 @p152) :args (@t97 (@list false true) (@list @t79 @t92))) % 0.37/0.58 (step @p184 :rule aci_norm :args ((= (or false @t96) @t96))) % 0.37/0.58 (step @p185 :rule refl :args (@t96)) % 0.37/0.58 (step @p186 :rule evaluate :args ((not true))) % 0.37/0.58 (step @p187 :rule quant-unused-vars :args ((= (forall @t12 true) true))) % 0.37/0.58 (step @p188 :rule bool-or-taut2 :args ((or false) @t15 false false)) % 0.37/0.58 (step @p189 :rule refl :args (@t15)) % 0.37/0.58 (step @p190 :rule bool-and-conf :args (true @t15 true (and @t99))) % 0.37/0.58 (step @p191 :rule nary_cong :premises (@p190 @p72 @p189) :args (@t101)) % 0.37/0.58 (step @p192 :rule trans :premises (@p191 @p188)) % 0.37/0.58 (step @p193 :rule cong :premises (@p192) :args ((forall @t12 @t101))) % 0.37/0.58 (step @p194 :rule trans :premises (@p193 @p187)) % 0.37/0.58 (step @p195 :rule aci_norm :args ((= (or @t100 @t102) @t101))) % 0.37/0.58 (step @p196 :rule aci_norm :args ((= (and @t102 true) @t102))) % 0.37/0.58 (step @p197 :rule eq-refl :args (@t80)) % 0.37/0.58 (step @p198 :rule nary_cong :premises (@p134 @p133) :args (@t103)) % 0.37/0.58 (step @p199 :rule nary_cong :premises (@p198 @p197) :args (@t104)) % 0.37/0.58 (step @p200 :rule trans :premises (@p199 @p196)) % 0.37/0.58 (step @p201 :rule arith_poly_norm :args ((= @t105 @t56))) % 0.37/0.58 (step @p202 :rule refl :args (@t61)) % 0.37/0.58 (step @p203 :rule cong :premises (@p202 @p201) :args (@t106)) % 0.37/0.58 (step @p204 :rule refl :args (@t80)) % 0.37/0.58 (step @p205 :rule cong :premises (@p204 @p203) :args (@t107)) % 0.37/0.58 (step @p206 :rule cong :premises (@p133) :args (@t108)) % 0.37/0.58 (step @p207 :rule nary_cong :premises (@p53 @p206 @p205) :args (@t109)) % 0.37/0.58 (step @p208 :rule nary_cong :premises (@p207 @p200) :args (@t110)) % 0.37/0.58 (step @p209 :rule trans :premises (@p208 @p195)) % 0.37/0.58 (step @p210 :rule cong :premises (@p209) :args (@t111)) % 0.37/0.59 (step @p211 :rule trans :premises (@p210 @p194)) % 0.37/0.59 (step @p212 :rule cong :premises (@p211) :args (@t112)) % 0.37/0.59 (step @p213 :rule trans :premises (@p212 @p186)) % 0.37/0.59 (step @p214 :rule nary_cong :premises (@p213 @p185) :args (@t113)) % 0.37/0.59 (step @p215 :rule trans :premises (@p214 @p184)) % 0.37/0.59 (step @p216 :rule refl :args (@t114)) % 0.37/0.59 (step @p217 :rule cong :premises (@p216 @p215) :args ((=> @t114 @t113))) % 0.37/0.59 (assume-push @p239 @t114) % 0.37/0.59 (step @p219 :rule instantiate :premises (@p60) :args ((@list @t61 @t61 0))) % 0.37/0.59 (step-pop @p240 :rule scope :premises (@p219)) % 0.37/0.59 (step @p220 :rule process_scope :premises (@p240) :args (@t113)) % 0.37/0.59 (step @p222 :rule eq_resolve :premises (@p220 @p217)) % 0.37/0.59 (step @p223 :rule implies_elim :premises (@p222)) % 0.37/0.59 (step @p224 false :rule chain_m_resolution :premises (@p223 @p183 @p60) :args (false (@list true false) (@list @t96 @t114))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------