%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT095_1 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:14:30 AM UTC 2026 % Result : Theorem 61.29s 61.52s % Output : Proof 61.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT095_1 : TPTP v9.2.1. Released v6.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n007.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 22:27:41 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_ARI % 61.29/61.52 --- Run --finite-model-find --decision=internal at 45... % 61.29/61.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 61.29/61.52 --- Run --no-e-matching --full-saturate-quant at 45... % 61.29/61.52 % SZS status Theorem % 61.29/61.52 % SZS output start Proof % 61.29/61.52 ( % 61.29/61.52 (declare-sort tptp.list 0) % 61.29/61.52 (declare-const tptp.count (-> Int tptp.list Int)) % 61.29/61.52 (declare-const tptp.length (-> tptp.list Int)) % 61.29/61.52 (declare-const tptp.inRange (-> Int tptp.list Bool)) % 61.29/61.52 (declare-const tptp.in (-> Int tptp.list Bool)) % 61.29/61.52 (declare-const tptp.nil tptp.list) % 61.29/61.52 (declare-const tptp.append (-> tptp.list tptp.list tptp.list)) % 61.29/61.52 (declare-const tptp.tail (-> tptp.list tptp.list)) % 61.29/61.52 (declare-const tptp.head (-> tptp.list Int)) % 61.29/61.52 (declare-const tptp.cons (-> Int tptp.list tptp.list)) % 61.29/61.52 (define @t1 () (@var "K" Int)) % 61.29/61.52 (define @t2 () (@var "L" tptp.list)) % 61.29/61.52 (define @t3 () (tptp.cons @t1 @t2)) % 61.29/61.52 (define @t4 () (@list @t1 @t2)) % 61.29/61.52 (define @t5 () (= @t2 tptp.nil)) % 61.29/61.52 (define @t6 () (@list @t2)) % 61.29/61.52 (define @t7 () (@var "T" tptp.list)) % 61.29/61.52 (define @t8 () (@var "X" Int)) % 61.29/61.52 (define @t9 () (@var "H" Int)) % 61.29/61.52 (define @t10 () (tptp.cons @t9 @t7)) % 61.29/61.52 (define @t11 () (= @t2 @t10)) % 61.29/61.52 (define @t12 () (@list @t9 @t7)) % 61.29/61.52 (define @t13 () (@var "N" Int)) % 61.29/61.52 (define @t14 () (@list @t13 @t2)) % 61.29/61.52 (define @t15 () (@list @t1)) % 61.29/61.52 (define @t16 () (tptp.count @t1 @t7)) % 61.29/61.52 (define @t17 () (tptp.count @t1 @t10)) % 61.29/61.52 (define @t18 () (= @t1 @t9)) % 61.29/61.52 (define @t19 () (not @t18)) % 61.29/61.52 (define @t20 () (@list @t1 @t9 @t7 @t13)) % 61.29/61.52 (define @t21 () (+ @t16 1)) % 61.29/61.52 (define @t22 () (= @t17 @t21)) % 61.29/61.52 (define @t23 () (=> @t18 @t22)) % 61.29/61.52 (define @t24 () (forall @t20 @t23)) % 61.29/61.52 (define @t25 () (@var "K" tptp.list)) % 61.29/61.52 (define @t26 () (@var "I" Int)) % 61.29/61.52 (define @t27 () (tptp.count @t13 @t2)) % 61.29/61.52 (define @t28 () (tptp.in @t13 @t2)) % 61.29/61.52 (define @t29 () (= @t28 (> @t27 0))) % 61.29/61.52 (define @t30 () (forall @t14 @t29)) % 61.29/61.52 (define @t31 () (@var "L1" tptp.list)) % 61.29/61.52 (define @t32 () (tptp.count @t13 @t31)) % 61.29/61.52 (define @t33 () (= @t32 @t27)) % 61.29/61.52 (define @t34 () (@var "M" Int)) % 61.29/61.52 (define @t35 () (tptp.cons @t34 @t2)) % 61.29/61.52 (define @t36 () (= @t31 @t35)) % 61.29/61.52 (define @t37 () (and @t28 @t36)) % 61.29/61.52 (define @t38 () (=> @t37 @t33)) % 61.29/61.52 (define @t39 () (@list @t34 @t13 @t2 @t31)) % 61.29/61.52 (define @t40 () (forall @t39 @t38)) % 61.29/61.52 (define @t41 () (= (tptp.count @t9 @t10) (+ 1 (tptp.count @t9 @t7)))) % 61.29/61.52 (define @t42 () (not (= @t9 @t9))) % 61.29/61.52 (define @t43 () (or @t42 @t41)) % 61.29/61.52 (define @t44 () (+ 1 @t16)) % 61.29/61.52 (define @t45 () (= @t17 @t44)) % 61.29/61.52 (define @t46 () (or @t19 @t19 @t45)) % 61.29/61.52 (define @t47 () (or @t19 @t45)) % 61.29/61.52 (define @t48 () (forall @t15 @t47)) % 61.29/61.52 (define @t49 () (forall @t12 @t48)) % 61.29/61.52 (define @t50 () (forall (@list @t9 @t7 @t1) @t47)) % 61.29/61.52 (define @t51 () (forall (@list @t1 @t9 @t7) @t47)) % 61.29/61.52 (define @t52 () (tptp.cons 0 tptp.nil)) % 61.29/61.52 (define @t53 () (tptp.count 0 @t52)) % 61.29/61.52 (define @t54 () (+ -1 @t53)) % 61.29/61.52 (define @t55 () (tptp.count 0 tptp.nil)) % 61.29/61.52 (define @t56 () (- @t55 @t54)) % 61.29/61.52 (define @t57 () (+ 1 @t55)) % 61.29/61.52 (define @t58 () (= @t55 @t54)) % 61.29/61.52 (define @t59 () (= @t53 @t57)) % 61.29/61.52 (define @t60 () (forall @t12 @t41)) % 61.29/61.52 (define @t61 () (@list false)) % 61.29/61.52 (define @t62 () (@list @t60)) % 61.29/61.52 (define @t63 () (+ 0 1)) % 61.29/61.52 (define @t64 () (>= @t27 @t63)) % 61.29/61.52 (define @t65 () (@list 0 @t52)) % 61.29/61.52 (define @t66 () (= @t27 (tptp.count @t13 @t35))) % 61.29/61.52 (define @t67 () (not @t28)) % 61.29/61.52 (define @t68 () (not (= @t35 @t35))) % 61.29/61.52 (define @t69 () (or @t67 @t68 @t66)) % 61.29/61.52 (define @t70 () (@list @t34 @t13 @t2)) % 61.29/61.52 (define @t71 () (= @t27 @t32)) % 61.29/61.52 (define @t72 () (not @t36)) % 61.29/61.52 (define @t73 () (or @t72 @t67 @t72 @t71)) % 61.29/61.52 (define @t74 () (@list @t31)) % 61.29/61.52 (define @t75 () (or @t67 @t72 @t71)) % 61.29/61.52 (define @t76 () (forall @t74 @t75)) % 61.29/61.52 (define @t77 () (forall @t70 @t76)) % 61.29/61.52 (define @t78 () (tptp.count 0 (tptp.cons 0 @t52))) % 61.29/61.52 (define @t79 () (+ -1 @t78)) % 61.29/61.52 (define @t80 () (- @t53 @t79)) % 61.29/61.52 (define @t81 () (+ 1 @t53)) % 61.29/61.52 (define @t82 () (= @t53 @t79)) % 61.29/61.52 (define @t83 () (= @t78 @t81)) % 61.29/61.52 (define @t84 () (= @t53 @t78)) % 61.29/61.52 (define @t85 () (* -1 @t78)) % 61.29/61.52 (define @t86 () (+ -1 @t85)) % 61.29/61.52 (define @t87 () (- @t86 @t85)) % 61.29/61.52 (define @t88 () (+ @t85 -1)) % 61.29/61.52 (define @t89 () (* -1 @t53)) % 61.29/61.52 (define @t90 () (+ @t85 @t89 @t53)) % 61.29/61.52 (define @t91 () (+ @t53 @t85)) % 61.29/61.52 (define @t92 () (+ @t89 @t91)) % 61.29/61.52 (define @t93 () (< -1 0)) % 61.29/61.52 (define @t94 () (not @t84)) % 61.29/61.52 (define @t95 () (tptp.in 0 @t52)) % 61.29/61.52 (define @t96 () (not @t95)) % 61.29/61.52 (define @t97 () (or @t96 @t84)) % 61.29/61.52 (define @t98 () (@list true false)) % 61.29/61.52 (define @t99 () (>= @t53 1)) % 61.29/61.52 (define @t100 () (= @t95 @t99)) % 61.29/61.52 (define @t101 () (not @t99)) % 61.29/61.52 (define @t102 () (not @t58)) % 61.29/61.52 (define @t103 () (= @t55 0)) % 61.29/61.52 (define @t104 () (not @t103)) % 61.29/61.52 (define @t105 () (< @t53 1)) % 61.29/61.52 (define @t106 () (* -1 0)) % 61.29/61.52 (define @t107 () (+ 1 -1 @t106)) % 61.29/61.52 (define @t108 () (* -1 @t55)) % 61.29/61.52 (define @t109 () (+ @t108 @t89 @t53 @t55)) % 61.29/61.52 (define @t110 () (+ @t55 @t89)) % 61.29/61.52 (define @t111 () (+ @t53 @t110 @t108)) % 61.29/61.52 (define @t112 () (>= @t111 @t107)) % 61.29/61.52 (assume @p1 (forall @t4 (= (tptp.head @t3) @t1))) % 61.29/61.52 (assume @p2 (forall @t4 (= (tptp.tail @t3) @t2))) % 61.29/61.52 (assume @p3 (forall @t6 (or @t5 (= @t2 (tptp.cons (tptp.head @t2) (tptp.tail @t2)))))) % 61.29/61.52 (assume @p4 (forall @t4 (not (= @t3 tptp.nil)))) % 61.29/61.52 (assume @p5 (forall (@list @t8 @t2) (= (tptp.in @t8 @t2) (or (exists @t12 (and @t11 (= @t8 @t9))) (exists @t12 (and @t11 (tptp.in @t8 @t7))))))) % 61.29/61.52 (assume @p6 (forall @t14 (= (tptp.inRange @t13 @t2) (or @t5 (exists (@list @t1 @t7) (and (= @t2 (tptp.cons @t1 @t7)) (<= 0 @t1) (< @t1 @t13) (tptp.inRange @t13 @t7))))))) % 61.29/61.52 (assume @p7 (= (tptp.length tptp.nil) 0)) % 61.29/61.52 (assume @p8 (forall @t12 (= (tptp.length @t10) (+ 1 (tptp.length @t7))))) % 61.29/61.52 (assume @p9 (forall @t15 (= (tptp.count @t1 tptp.nil) 0))) % 61.29/61.52 (assume @p10 (forall @t20 (=> @t19 (= @t17 @t16)))) % 61.29/61.52 (assume @p11 @t24) % 61.29/61.52 (assume @p12 (forall @t6 (= (tptp.append tptp.nil @t2) @t2))) % 61.29/61.52 (assume @p13 (forall (@list @t26 @t25 @t2) (= (tptp.append (tptp.cons @t26 @t25) @t2) (tptp.cons @t26 (tptp.append @t25 @t2))))) % 61.29/61.52 (assume @p14 @t30) % 61.29/61.52 (assume @p15 (not (not @t40))) % 61.29/61.52 (assume @p16 true) % 61.29/61.52 (step @p17 :rule instantiate :premises (@p9) :args ((@list 0))) % 61.29/61.52 (step @p18 :rule aci_norm :args ((= (or false @t41) @t41))) % 61.29/61.52 (step @p19 :rule refl :args (@t41)) % 61.29/61.52 (step @p20 :rule evaluate :args ((not true))) % 61.29/61.52 (step @p21 :rule eq-refl :args (@t9)) % 61.29/61.52 (step @p22 :rule cong :premises (@p21) :args (@t42)) % 61.29/61.52 (step @p23 :rule trans :premises (@p22 @p20)) % 61.29/61.52 (step @p24 :rule nary_cong :premises (@p23 @p19) :args (@t43)) % 61.29/61.52 (step @p25 :rule trans :premises (@p24 @p18)) % 61.29/61.52 (step @p26 :rule cong :premises (@p25) :args ((forall @t12 @t43))) % 61.29/61.52 (step @p27 :rule quant-var-elim-eq :args ((= (forall @t15 @t46) @t43))) % 61.29/61.52 (step @p28 :rule aci_norm :args ((= @t47 @t46))) % 61.29/61.52 (step @p29 :rule cong :premises (@p28) :args (@t48)) % 61.29/61.52 (step @p30 :rule trans :premises (@p29 @p27)) % 61.29/61.52 (step @p31 :rule cong :premises (@p30) :args (@t49)) % 61.29/61.52 (step @p32 :rule quant-merge-prenex :args ((= @t49 @t50))) % 61.29/61.52 (step @p33 :rule symm :premises (@p32)) % 61.29/61.52 (step @p34 :rule quant_var_reordering :args ((= @t51 @t50))) % 61.29/61.52 (step @p35 :rule trans :premises (@p34 @p33 @p31)) % 61.29/61.52 (step @p36 :rule trans :premises (@p35 @p26)) % 61.29/61.52 (step @p37 :rule quant-unused-vars :args ((= (forall @t20 @t47) @t51))) % 61.29/61.52 (step @p38 :rule trans :premises (@p37 @p36)) % 61.29/61.52 (step @p39 :rule bool-impl-elim :args (@t18 @t45)) % 61.29/61.52 (step @p40 :rule cong :premises (@p39) :args ((forall @t20 (=> @t18 @t45)))) % 61.29/61.52 (step @p41 :rule trans :premises (@p40 @p38)) % 61.29/61.52 (step @p42 :rule arith_poly_norm :args ((= @t21 @t44))) % 61.29/61.52 (step @p43 :rule refl :args (@t17)) % 61.29/61.52 (step @p44 :rule cong :premises (@p43 @p42) :args (@t22)) % 61.29/61.52 (step @p45 :rule refl :args (@t18)) % 61.29/61.52 (step @p46 :rule cong :premises (@p45 @p44) :args (@t23)) % 61.29/61.52 (step @p47 :rule cong :premises (@p46) :args (@t24)) % 61.29/61.52 (step @p48 :rule trans :premises (@p47 @p41)) % 61.29/61.52 (step @p49 :rule eq_resolve :premises (@p11 @p48)) % 61.29/61.52 (step @p50 :rule arith_poly_norm :args ((= (* 1 (- @t53 @t57)) (* -1 @t56)))) % 61.29/61.52 (step @p51 :rule arith_poly_norm_rel :premises (@p50) :args ((= @t59 @t58))) % 61.29/61.52 (step @p52 :rule refl :args (@t60)) % 61.29/61.52 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t60 @t59))) % 61.29/61.52 (assume-push @p223 @t60) % 61.29/61.52 (step @p55 :rule instantiate :premises (@p49) :args ((@list 0 tptp.nil))) % 61.29/61.52 (step-pop @p224 :rule scope :premises (@p55)) % 61.29/61.52 (step @p56 :rule process_scope :premises (@p224) :args (@t59)) % 61.29/61.52 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 61.29/61.52 (step @p59 :rule implies_elim :premises (@p58)) % 61.29/61.52 (step @p60 :rule chain_m_resolution :premises (@p59 @p49) :args (@t58 @t61 @t62)) % 61.29/61.52 (step @p61 :rule bool-double-not-elim :args ((>= @t27 1))) % 61.29/61.52 (step @p62 :rule evaluate :args (@t63)) % 61.29/61.52 (step @p63 :rule refl :args (@t27)) % 61.29/61.52 (step @p64 :rule cong :premises (@p63 @p62) :args (@t64)) % 61.29/61.52 (step @p65 :rule cong :premises (@p64) :args ((not @t64))) % 61.29/61.52 (step @p66 :rule arith-leq-norm :args (@t27 0)) % 61.29/61.52 (step @p67 :rule trans :premises (@p66 @p65)) % 61.29/61.52 (step @p68 :rule cong :premises (@p67) :args ((not (<= @t27 0)))) % 61.29/61.52 (step @p69 :rule trans :premises (@p68 @p61)) % 61.29/61.52 (step @p70 :rule arith-elim-leq :args (@t27 0)) % 61.29/61.52 (step @p71 :rule symm :premises (@p70)) % 61.29/61.52 (step @p72 :rule cong :premises (@p71) :args ((not (>= 0 @t27)))) % 61.29/61.52 (step @p73 :rule arith-elim-gt :args (@t27 0)) % 61.29/61.52 (step @p74 :rule trans :premises (@p73 @p72)) % 61.29/61.52 (step @p75 :rule trans :premises (@p74 @p69)) % 61.29/61.52 (step @p76 :rule refl :args (@t28)) % 61.29/61.52 (step @p77 :rule cong :premises (@p76 @p75) :args (@t29)) % 61.29/61.52 (step @p78 :rule cong :premises (@p77) :args (@t30)) % 61.29/61.52 (step @p79 :rule eq_resolve :premises (@p14 @p78)) % 61.29/61.52 (step @p80 :rule instantiate :premises (@p79) :args (@t65)) % 61.29/61.52 (step @p81 :rule aci_norm :args ((= (or @t67 false @t66) (or @t67 @t66)))) % 61.29/61.52 (step @p82 :rule refl :args (@t66)) % 61.29/61.52 (step @p83 :rule eq-refl :args (@t35)) % 61.29/61.52 (step @p84 :rule cong :premises (@p83) :args (@t68)) % 61.29/61.52 (step @p85 :rule trans :premises (@p84 @p20)) % 61.29/61.52 (step @p86 :rule refl :args (@t67)) % 61.29/61.52 (step @p87 :rule nary_cong :premises (@p86 @p85 @p82) :args (@t69)) % 61.29/61.52 (step @p88 :rule trans :premises (@p87 @p81)) % 61.29/61.52 (step @p89 :rule cong :premises (@p88) :args ((forall @t70 @t69))) % 61.29/61.52 (step @p90 :rule quant-var-elim-eq :args ((= (forall @t74 @t73) @t69))) % 61.29/61.52 (step @p91 :rule aci_norm :args ((= @t75 @t73))) % 61.29/61.52 (step @p92 :rule cong :premises (@p91) :args (@t76)) % 61.29/61.52 (step @p93 :rule trans :premises (@p92 @p90)) % 61.29/61.52 (step @p94 :rule cong :premises (@p93) :args (@t77)) % 61.29/61.52 (step @p95 :rule quant-merge-prenex :args ((= @t77 (forall @t39 @t75)))) % 61.29/61.52 (step @p96 :rule symm :premises (@p95)) % 61.29/61.52 (step @p97 :rule trans :premises (@p96 @p94)) % 61.29/61.52 (step @p98 :rule trans :premises (@p97 @p89)) % 61.29/61.52 (step @p99 :rule aci_norm :args ((= (or (or @t67 @t72) @t71) @t75))) % 61.29/61.52 (step @p100 :rule refl :args (@t71)) % 61.29/61.52 (step @p101 :rule bool-and-de-morgan :args (@t28 @t36 true)) % 61.29/61.52 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or (not @t37) @t71))) % 61.29/61.52 (step @p103 :rule trans :premises (@p102 @p99)) % 61.29/61.52 (step @p104 :rule bool-impl-elim :args (@t37 @t71)) % 61.29/61.52 (step @p105 :rule trans :premises (@p104 @p103)) % 61.29/61.52 (step @p106 :rule cong :premises (@p105) :args ((forall @t39 (=> @t37 @t71)))) % 61.29/61.52 (step @p107 :rule trans :premises (@p106 @p98)) % 61.29/61.52 (step @p108 :rule arith_poly_norm :args ((= (* 1 (- @t32 @t27)) (* -1 (- @t27 @t32))))) % 61.29/61.52 (step @p109 :rule arith_poly_norm_rel :premises (@p108) :args ((= @t33 @t71))) % 61.29/61.52 (step @p110 :rule refl :args (@t37)) % 61.29/61.52 (step @p111 :rule cong :premises (@p110 @p109) :args (@t38)) % 61.29/61.52 (step @p112 :rule cong :premises (@p111) :args (@t40)) % 61.29/61.52 (step @p113 :rule trans :premises (@p112 @p107)) % 61.29/61.52 (step @p114 :rule bool-double-not-elim :args (@t40)) % 61.29/61.52 (step @p115 :rule trans :premises (@p114 @p113)) % 61.29/61.52 (step @p116 :rule eq_resolve :premises (@p15 @p115)) % 61.29/61.52 (step @p117 :rule instantiate :premises (@p116) :args ((@list 0 0 @t52))) % 61.29/61.52 (step @p118 :rule arith_poly_norm :args ((= (* 1 (- @t78 @t81)) (* -1 @t80)))) % 61.29/61.52 (step @p119 :rule arith_poly_norm_rel :premises (@p118) :args ((= @t83 @t82))) % 61.29/61.52 (step @p120 :rule cong :premises (@p52 @p119) :args ((=> @t60 @t83))) % 61.29/61.52 (assume-push @p225 @t60) % 61.29/61.52 (step @p122 :rule instantiate :premises (@p49) :args (@t65)) % 61.29/61.52 (step-pop @p226 :rule scope :premises (@p122)) % 61.29/61.52 (step @p123 :rule process_scope :premises (@p226) :args (@t83)) % 61.29/61.52 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 61.29/61.52 (step @p126 :rule implies_elim :premises (@p125)) % 61.29/61.52 (step @p127 :rule chain_m_resolution :premises (@p126 @p49) :args (@t82 @t61 @t62)) % 61.29/61.52 (assume-push @p227 @t82) % 61.29/61.52 (assume-push @p228 @t82) % 61.29/61.52 (assume-push @p229 @t84) % 61.29/61.52 (step @p131 :rule evaluate :args ((>= -1 0))) % 61.29/61.52 (step @p132 :rule refl :args (0)) % 61.29/61.52 (step @p133 :rule arith_poly_norm :args ((= @t87 -1))) % 61.29/61.52 (step @p134 :rule cong :premises (@p133 @p132) :args ((>= @t87 0))) % 61.29/61.52 (step @p135 :rule trans :premises (@p134 @p131)) % 61.29/61.52 (step @p136 :rule arith-geq-norm1-int :args (@t86 @t85)) % 61.29/61.52 (step @p137 :rule trans :premises (@p136 @p135)) % 61.29/61.52 (step @p138 :rule arith-elim-leq :args (@t85 @t86)) % 61.29/61.52 (step @p139 :rule trans :premises (@p138 @p137)) % 61.29/61.52 (step @p140 :rule arith_poly_norm :args ((= @t88 @t86))) % 61.29/61.52 (step @p141 :rule arith_poly_norm :args ((= @t90 @t85))) % 61.29/61.52 (step @p142 :rule arith_poly_norm :args ((= @t92 @t90))) % 61.29/61.52 (step @p143 :rule trans :premises (@p142 @p141)) % 61.29/61.52 (step @p144 :rule cong :premises (@p143 @p140) :args ((<= @t92 @t88))) % 61.29/61.52 (step @p145 :rule trans :premises (@p144 @p139)) % 61.29/61.52 (step @p146 :rule arith_poly_norm :args ((= (* 1 (- @t91 -1)) (* 1 @t80)))) % 61.29/61.52 (step @p147 :rule arith_poly_norm_rel :premises (@p146) :args ((= (= @t91 -1) @t82))) % 61.29/61.52 (step @p148 :rule symm :premises (@p147)) % 61.29/61.52 (step @p149 :rule eq_resolve :premises (@p127 @p148)) % 61.29/61.52 (step @p150 :rule arith_mult_neg :args (-1 @t84)) % 61.29/61.52 (step @p151 :rule evaluate :args (@t93)) % 61.29/61.52 (step @p152 :rule true_elim :premises (@p151)) % 61.29/61.52 (step @p153 :rule and_intro :premises (@p152 @p229)) % 61.29/61.52 (step @p154 :rule modus_ponens :premises (@p153 @p150)) % 61.29/61.52 (step @p155 :rule arith_sum_ub :premises (@p154 @p149)) % 61.29/61.52 (step @p156 false :rule eq_resolve :premises (@p155 @p145)) % 61.29/61.52 (step-pop @p230 :rule scope :premises (@p156)) % 61.29/61.52 (step @p157 :rule process_scope :premises (@p230) :args (false)) % 61.29/61.52 (step-pop @p231 :rule scope :premises (@p157)) % 61.29/61.52 (step @p159 :rule process_scope :premises (@p231) :args (@t94)) % 61.29/61.52 (step @p161 :rule modus_ponens :premises (@p127 @p159)) % 61.29/61.52 (step-pop @p232 :rule scope :premises (@p161)) % 61.29/61.52 (step @p162 :rule process_scope :premises (@p232) :args (@t94)) % 61.29/61.52 (step @p164 :rule implies_elim :premises (@p162)) % 61.29/61.52 (step @p165 :rule chain_m_resolution :premises (@p164 @p127) :args (@t94 @t61 (@list @t82))) % 61.29/61.52 (step @p166 :rule cnf_or_pos :args (@t97)) % 61.29/61.52 (step @p167 :rule reordering :premises (@p166) :args ((or @t96 @t84 (not @t97)))) % 61.29/61.52 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p117) :args (@t96 @t98 (@list @t84 @t97))) % 61.29/61.52 (step @p169 :rule cnf_equiv_pos2 :args (@t100)) % 61.29/61.52 (step @p170 :rule reordering :premises (@p169) :args ((or @t95 @t101 (not @t100)))) % 61.29/61.52 (step @p171 :rule chain_m_resolution :premises (@p170 @p168 @p80) :args (@t101 @t98 (@list @t95 @t100))) % 61.29/61.52 (step @p172 :rule bool-double-not-elim :args (@t99)) % 61.29/61.52 (step @p173 :rule refl :args (@t102)) % 61.29/61.52 (step @p174 :rule refl :args (@t104)) % 61.29/61.52 (step @p175 :rule nary_cong :premises (@p174 @p173 @p172) :args ((or @t104 @t102 (not @t101)))) % 61.29/61.52 (assume-push @p233 @t103) % 61.29/61.52 (assume-push @p234 @t58) % 61.29/61.52 (assume-push @p235 @t101) % 61.29/61.52 (step @p179 :rule arith-elim-lt :args (@t53 1)) % 61.29/61.52 (step @p180 :rule cong :premises (@p179) :args ((not @t105))) % 61.29/61.52 (step @p181 :rule trans :premises (@p180 @p172)) % 61.29/61.52 (step @p182 :rule symm :premises (@p181)) % 61.29/61.52 (assume-push @p236 @t105) % 61.29/61.52 (step @p184 :rule evaluate :args ((>= 0 0))) % 61.29/61.52 (step @p185 :rule evaluate :args ((+ 1 -1 0))) % 61.29/61.52 (step @p186 :rule evaluate :args (@t106)) % 61.29/61.52 (step @p187 :rule refl :args (-1)) % 61.29/61.52 (step @p188 :rule refl :args (1)) % 61.29/61.52 (step @p189 :rule nary_cong :premises (@p188 @p187 @p186) :args (@t107)) % 61.29/61.52 (step @p190 :rule trans :premises (@p189 @p185)) % 61.29/61.52 (step @p191 :rule arith_poly_norm :args ((= @t109 0))) % 61.29/61.52 (step @p192 :rule arith_poly_norm :args ((= @t111 @t109))) % 61.29/61.52 (step @p193 :rule trans :premises (@p192 @p191)) % 61.29/61.52 (step @p194 :rule cong :premises (@p193 @p190) :args (@t112)) % 61.29/61.52 (step @p195 :rule trans :premises (@p194 @p184)) % 61.29/61.52 (step @p196 :rule cong :premises (@p195) :args ((not @t112))) % 61.29/61.52 (step @p197 :rule trans :premises (@p196 @p20)) % 61.29/61.52 (step @p198 :rule arith-elim-lt :args (@t111 @t107)) % 61.29/61.52 (step @p199 :rule trans :premises (@p198 @p197)) % 61.29/61.52 (step @p200 :rule arith_mult_neg :args (-1 @t103)) % 61.29/61.52 (step @p151 :rule evaluate :args (@t93)) % 61.29/61.52 (step @p152 :rule true_elim :premises (@p151)) % 61.29/61.52 (step @p201 :rule and_intro :premises (@p152 @p17)) % 61.29/61.52 (step @p202 :rule modus_ponens :premises (@p201 @p200)) % 61.29/61.52 (step @p203 :rule arith_poly_norm :args ((= (* 1 (- @t110 -1)) (* 1 @t56)))) % 61.29/61.52 (step @p204 :rule arith_poly_norm_rel :premises (@p203) :args ((= (= @t110 -1) @t58))) % 61.29/61.52 (step @p205 :rule symm :premises (@p204)) % 61.29/61.52 (step @p206 :rule eq_resolve :premises (@p60 @p205)) % 61.29/61.52 (step @p207 :rule arith_sum_ub :premises (@p236 @p206 @p202)) % 61.29/61.52 (step @p208 false :rule eq_resolve :premises (@p207 @p199)) % 61.29/61.52 (step-pop @p237 :rule scope :premises (@p208)) % 61.29/61.52 (step @p209 :rule process_scope :premises (@p237) :args (false)) % 61.29/61.52 (step @p211 :rule eq_resolve :premises (@p209 @p181)) % 61.29/61.52 (step @p212 :rule eq_resolve :premises (@p211 @p182)) % 61.29/61.52 (step @p213 :rule symm :premises (@p179)) % 61.29/61.52 (step @p214 :rule eq_resolve :premises (@p235 @p213)) % 61.29/61.52 (step @p215 false :rule contra :premises (@p214 @p212)) % 61.29/61.52 (step-pop @p238 :rule scope :premises (@p215)) % 61.29/61.52 (step-pop @p239 :rule scope :premises (@p238)) % 61.29/61.52 (step-pop @p240 :rule scope :premises (@p239)) % 61.29/61.52 (step @p216 :rule process_scope :premises (@p240) :args (false)) % 61.29/61.52 (step @p220 :rule not_and :premises (@p216)) % 61.29/61.52 (step @p221 :rule eq_resolve :premises (@p220 @p175)) % 61.29/61.52 (step @p222 false :rule chain_m_resolution :premises (@p221 @p171 @p60 @p17) :args (false (@list true false false) (@list @t99 @t58 @t103))) % 61.29/61.52 ) % 61.29/61.52 % SZS output end Proof % 61.29/61.52 % cvc5 exiting %------------------------------------------------------------------------------