%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT106_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 : n023.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 08:14:31 AM UTC 2026 % Result : Theorem 0.37s 0.63s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT106_1 : TPTP v9.2.1. Released v6.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n023.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 22:29:28 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_ARI % 0.37/0.63 --- Run --finite-model-find --decision=internal at 45... % 0.37/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.37/0.63 % SZS status Theorem % 0.37/0.63 % SZS output start Proof % 0.37/0.63 ( % 0.37/0.63 (declare-sort tptp.list 0) % 0.37/0.63 (declare-const tptp.inRange (-> Int tptp.list Bool)) % 0.37/0.63 (declare-const tptp.nil tptp.list) % 0.37/0.63 (declare-const tptp.tail (-> tptp.list tptp.list)) % 0.37/0.63 (declare-const tptp.head (-> tptp.list Int)) % 0.37/0.63 (declare-const tptp.cons (-> Int tptp.list tptp.list)) % 0.37/0.63 (define @t1 () (@var "K" Int)) % 0.37/0.63 (define @t2 () (@var "L" tptp.list)) % 0.37/0.63 (define @t3 () (tptp.cons @t1 @t2)) % 0.37/0.63 (define @t4 () (tptp.head @t3)) % 0.37/0.63 (define @t5 () (= @t4 @t1)) % 0.37/0.63 (define @t6 () (@list @t1 @t2)) % 0.37/0.63 (define @t7 () (forall @t6 @t5)) % 0.37/0.63 (define @t8 () (= @t2 tptp.nil)) % 0.37/0.63 (define @t9 () (not (= @t3 tptp.nil))) % 0.37/0.63 (define @t10 () (forall @t6 @t9)) % 0.37/0.63 (define @t11 () (@var "T" tptp.list)) % 0.37/0.63 (define @t12 () (@var "N" Int)) % 0.37/0.63 (define @t13 () (tptp.inRange @t12 @t11)) % 0.37/0.63 (define @t14 () (tptp.cons @t1 @t11)) % 0.37/0.63 (define @t15 () (= @t2 @t14)) % 0.37/0.63 (define @t16 () (and @t15 (<= 0 @t1) (< @t1 @t12) @t13)) % 0.37/0.63 (define @t17 () (@list @t1 @t11)) % 0.37/0.63 (define @t18 () (exists @t17 @t16)) % 0.37/0.63 (define @t19 () (or @t8 @t18)) % 0.37/0.63 (define @t20 () (tptp.inRange @t12 @t2)) % 0.37/0.63 (define @t21 () (= @t20 @t19)) % 0.37/0.63 (define @t22 () (@list @t12 @t2)) % 0.37/0.63 (define @t23 () (forall @t22 @t21)) % 0.37/0.63 (define @t24 () (@var "L1" tptp.list)) % 0.37/0.63 (define @t25 () (tptp.inRange @t12 @t24)) % 0.37/0.63 (define @t26 () (@var "L0" tptp.list)) % 0.37/0.63 (define @t27 () (- @t12 2)) % 0.37/0.63 (define @t28 () (tptp.cons @t27 @t26)) % 0.37/0.63 (define @t29 () (= @t24 @t28)) % 0.37/0.63 (define @t30 () (tptp.inRange @t12 @t26)) % 0.37/0.63 (define @t31 () (and (> @t12 0) @t30 @t29)) % 0.37/0.63 (define @t32 () (=> @t31 @t25)) % 0.37/0.63 (define @t33 () (@list @t12 @t26 @t24)) % 0.37/0.63 (define @t34 () (forall @t33 @t32)) % 0.37/0.63 (define @t35 () (= @t1 @t4)) % 0.37/0.63 (define @t36 () (tptp.cons -1 tptp.nil)) % 0.37/0.63 (define @t37 () (tptp.head @t36)) % 0.37/0.63 (define @t38 () (= @t37 -1)) % 0.37/0.63 (define @t39 () (= -1 @t37)) % 0.37/0.63 (define @t40 () (forall @t6 @t35)) % 0.37/0.63 (define @t41 () (@list -1 tptp.nil)) % 0.37/0.63 (define @t42 () (@list false)) % 0.37/0.63 (define @t43 () (not @t13)) % 0.37/0.63 (define @t44 () (+ @t1 (* -1 @t12))) % 0.37/0.63 (define @t45 () (>= @t44 0)) % 0.37/0.63 (define @t46 () (>= @t1 0)) % 0.37/0.63 (define @t47 () (not @t46)) % 0.37/0.63 (define @t48 () (not @t15)) % 0.37/0.63 (define @t49 () (not @t45)) % 0.37/0.63 (define @t50 () (not @t49)) % 0.37/0.63 (define @t51 () (or @t48 @t47 @t50 @t43)) % 0.37/0.63 (define @t52 () (and @t15 @t46 @t49 @t13)) % 0.37/0.63 (define @t53 () (forall @t17 (not @t52))) % 0.37/0.63 (define @t54 () (not @t53)) % 0.37/0.63 (define @t55 () (>= @t1 @t12)) % 0.37/0.63 (define @t56 () (not (tptp.inRange 1 @t11))) % 0.37/0.63 (define @t57 () (+ -1 @t1)) % 0.37/0.63 (define @t58 () (>= @t1 1)) % 0.37/0.63 (define @t59 () (* -1 1)) % 0.37/0.63 (define @t60 () (+ @t1 @t59)) % 0.37/0.63 (define @t61 () (>= @t60 0)) % 0.37/0.63 (define @t62 () (not (= @t36 @t14))) % 0.37/0.63 (define @t63 () (or @t62 @t47 @t61 @t56)) % 0.37/0.63 (define @t64 () (forall @t17 @t63)) % 0.37/0.63 (define @t65 () (not @t64)) % 0.37/0.63 (define @t66 () (= tptp.nil @t36)) % 0.37/0.63 (define @t67 () (or @t66 @t65)) % 0.37/0.63 (define @t68 () (tptp.inRange 1 @t36)) % 0.37/0.63 (define @t69 () (= @t68 @t67)) % 0.37/0.63 (define @t70 () (forall @t22 (= @t20 (or (= tptp.nil @t2) (not (forall @t17 (or @t48 @t47 @t45 @t43))))))) % 0.37/0.63 (define @t71 () (forall @t17 (or (not (= @t14 @t36)) @t47 @t58 @t56))) % 0.37/0.63 (define @t72 () (not @t71)) % 0.37/0.63 (define @t73 () (or @t66 @t72)) % 0.37/0.63 (define @t74 () (= @t68 @t73)) % 0.37/0.63 (define @t75 () (@list @t70)) % 0.37/0.63 (define @t76 () (+ -2 @t12)) % 0.37/0.63 (define @t77 () (tptp.cons @t76 @t26)) % 0.37/0.63 (define @t78 () (tptp.inRange @t12 @t77)) % 0.37/0.63 (define @t79 () (not @t30)) % 0.37/0.63 (define @t80 () (>= @t12 1)) % 0.37/0.63 (define @t81 () (not @t80)) % 0.37/0.63 (define @t82 () (or @t81 @t79 @t78)) % 0.37/0.63 (define @t83 () (not (= @t77 @t77))) % 0.37/0.63 (define @t84 () (or @t81 @t79 @t83 @t78)) % 0.37/0.63 (define @t85 () (@list @t12 @t26)) % 0.37/0.63 (define @t86 () (= @t24 @t77)) % 0.37/0.63 (define @t87 () (not @t86)) % 0.37/0.63 (define @t88 () (or @t87 @t81 @t79 @t87 @t25)) % 0.37/0.63 (define @t89 () (@list @t24)) % 0.37/0.63 (define @t90 () (or @t81 @t79 @t87 @t25)) % 0.37/0.63 (define @t91 () (forall @t89 @t90)) % 0.37/0.63 (define @t92 () (forall @t85 @t91)) % 0.37/0.63 (define @t93 () (or @t81 @t79 @t87)) % 0.37/0.63 (define @t94 () (and @t80 @t30 @t86)) % 0.37/0.63 (define @t95 () (* -1 2)) % 0.37/0.63 (define @t96 () (+ @t12 @t95)) % 0.37/0.63 (define @t97 () (+ 0 1)) % 0.37/0.63 (define @t98 () (>= @t12 @t97)) % 0.37/0.63 (define @t99 () (tptp.inRange 1 tptp.nil)) % 0.37/0.63 (define @t100 () (not @t99)) % 0.37/0.63 (define @t101 () (or @t100 @t68)) % 0.37/0.63 (define @t102 () (+ -2 1)) % 0.37/0.63 (define @t103 () (tptp.cons @t102 tptp.nil)) % 0.40/0.63 (define @t104 () (tptp.inRange 1 @t103)) % 0.40/0.63 (define @t105 () (>= 1 1)) % 0.40/0.63 (define @t106 () (not @t105)) % 0.40/0.63 (define @t107 () (or @t106 @t100 @t104)) % 0.40/0.63 (define @t108 () (forall @t85 @t82)) % 0.40/0.63 (define @t109 () (@list 1 tptp.nil)) % 0.40/0.63 (define @t110 () (not (= tptp.nil @t14))) % 0.40/0.63 (define @t111 () (or @t110 @t47 @t61 @t56)) % 0.40/0.63 (define @t112 () (forall @t17 @t111)) % 0.40/0.63 (define @t113 () (not @t112)) % 0.40/0.63 (define @t114 () (or (= tptp.nil tptp.nil) @t113)) % 0.40/0.63 (define @t115 () (= @t99 @t114)) % 0.40/0.63 (define @t116 () (@list false false)) % 0.40/0.63 (define @t117 () (@quantifiers_skolemize @t71 1)) % 0.40/0.63 (define @t118 () (not (tptp.inRange 1 @t117))) % 0.40/0.63 (define @t119 () (@quantifiers_skolemize @t71 0)) % 0.40/0.63 (define @t120 () (>= @t119 1)) % 0.40/0.63 (define @t121 () (>= @t119 0)) % 0.40/0.63 (define @t122 () (not @t121)) % 0.40/0.63 (define @t123 () (tptp.cons @t119 @t117)) % 0.40/0.63 (define @t124 () (= @t36 @t123)) % 0.40/0.63 (define @t125 () (not @t124)) % 0.40/0.63 (define @t126 () (or @t125 @t122 @t120 @t118)) % 0.40/0.63 (define @t127 () (not @t126)) % 0.40/0.63 (define @t128 () (not (= @t123 @t36))) % 0.40/0.63 (define @t129 () (or @t128 @t122 @t120 @t118)) % 0.40/0.63 (define @t130 () (not @t129)) % 0.40/0.63 (define @t131 () (@list true)) % 0.40/0.63 (define @t132 () (@list @t126)) % 0.40/0.63 (define @t133 () (not @t120)) % 0.40/0.63 (define @t134 () (tptp.head @t123)) % 0.40/0.63 (define @t135 () (= @t119 @t134)) % 0.40/0.63 (define @t136 () (not @t135)) % 0.40/0.63 (define @t137 () (not @t38)) % 0.40/0.63 (define @t138 () (and @t38 @t121 @t124 @t133)) % 0.40/0.63 (assume @p1 @t7) % 0.40/0.63 (assume @p2 (forall @t6 (= (tptp.tail @t3) @t2))) % 0.40/0.63 (assume @p3 (forall (@list @t2) (or @t8 (= @t2 (tptp.cons (tptp.head @t2) (tptp.tail @t2)))))) % 0.40/0.63 (assume @p4 @t10) % 0.40/0.63 (assume @p5 @t23) % 0.40/0.63 (assume @p6 (not (not @t34))) % 0.40/0.63 (assume @p7 true) % 0.40/0.63 (step @p8 :rule arith_poly_norm :args ((= (* 1 (- @t4 @t1)) (* -1 (- @t1 @t4))))) % 0.40/0.63 (step @p9 :rule arith_poly_norm_rel :premises (@p8) :args ((= @t5 @t35))) % 0.40/0.63 (step @p10 :rule cong :premises (@p9) :args (@t7)) % 0.40/0.63 (step @p11 :rule eq_resolve :premises (@p1 @p10)) % 0.40/0.63 (step @p12 :rule arith_poly_norm :args ((= (* 1 (- -1 @t37)) (* -1 (- @t37 -1))))) % 0.40/0.63 (step @p13 :rule arith_poly_norm_rel :premises (@p12) :args ((= @t39 @t38))) % 0.40/0.63 (step @p14 :rule refl :args (@t40)) % 0.40/0.63 (step @p15 :rule cong :premises (@p14 @p13) :args ((=> @t40 @t39))) % 0.40/0.63 (assume-push @p294 @t40) % 0.40/0.63 (step @p17 :rule instantiate :premises (@p11) :args (@t41)) % 0.40/0.63 (step-pop @p295 :rule scope :premises (@p17)) % 0.40/0.63 (step @p18 :rule process_scope :premises (@p295) :args (@t39)) % 0.40/0.63 (step @p20 :rule eq_resolve :premises (@p18 @p15)) % 0.40/0.63 (step @p21 :rule implies_elim :premises (@p20)) % 0.40/0.63 (step @p22 :rule chain_m_resolution :premises (@p21 @p11) :args (@t38 @t42 (@list @t40))) % 0.40/0.63 (step @p23 :rule refl :args (@t43)) % 0.40/0.63 (step @p24 :rule bool-double-not-elim :args (@t45)) % 0.40/0.63 (step @p25 :rule refl :args (@t47)) % 0.40/0.63 (step @p26 :rule refl :args (@t48)) % 0.40/0.63 (step @p27 :rule nary_cong :premises (@p26 @p25 @p24 @p23) :args (@t51)) % 0.40/0.63 (step @p28 :rule aci_norm :args ((= (or @t48 (or @t47 (or @t50 @t43))) @t51))) % 0.40/0.63 (step @p29 :rule trans :premises (@p28 @p27)) % 0.40/0.63 (step @p30 :rule bool-and-de-morgan :args (@t49 @t13 true)) % 0.40/0.63 (step @p31 :rule nary_cong :premises (@p25 @p30) :args ((or @t47 (not (and @t49 @t13))))) % 0.40/0.63 (step @p32 :rule bool-and-de-morgan :args (@t46 @t49 (and @t13))) % 0.40/0.63 (step @p33 :rule trans :premises (@p32 @p31)) % 0.40/0.63 (step @p34 :rule nary_cong :premises (@p26 @p33) :args ((or @t48 (not (and @t46 @t49 @t13))))) % 0.40/0.63 (step @p35 :rule bool-and-de-morgan :args (@t15 @t46 (and @t49 @t13))) % 0.40/0.63 (step @p36 :rule trans :premises (@p35 @p34)) % 0.40/0.63 (step @p37 :rule trans :premises (@p36 @p29)) % 0.40/0.63 (step @p38 :rule cong :premises (@p37) :args (@t53)) % 0.40/0.63 (step @p39 :rule cong :premises (@p38) :args (@t54)) % 0.40/0.63 (step @p40 :rule exists-elim :args ((= (exists @t17 @t52) @t54))) % 0.40/0.63 (step @p41 :rule trans :premises (@p40 @p39)) % 0.40/0.63 (step @p42 :rule refl :args (@t13)) % 0.40/0.63 (step @p43 :rule arith_poly_norm :args ((= (* 1 (- @t1 @t12)) (* 1 (- @t44 0))))) % 0.40/0.63 (step @p44 :rule arith_poly_norm_rel :premises (@p43) :args ((= @t55 @t45))) % 0.40/0.63 (step @p45 :rule cong :premises (@p44) :args ((not @t55))) % 0.40/0.63 (step @p46 :rule arith-elim-lt :args (@t1 @t12)) % 0.40/0.63 (step @p47 :rule trans :premises (@p46 @p45)) % 0.40/0.63 (step @p48 :rule arith-elim-leq :args (0 @t1)) % 0.40/0.63 (step @p49 :rule refl :args (@t15)) % 0.40/0.63 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47 @p42) :args (@t16)) % 0.40/0.63 (step @p51 :rule cong :premises (@p50) :args (@t18)) % 0.40/0.63 (step @p52 :rule trans :premises (@p51 @p41)) % 0.40/0.63 (step @p53 :rule eq-symm :args (@t2 tptp.nil)) % 0.40/0.63 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t19)) % 0.40/0.63 (step @p55 :rule refl :args (@t20)) % 0.40/0.63 (step @p56 :rule cong :premises (@p55 @p54) :args (@t21)) % 0.40/0.63 (step @p57 :rule cong :premises (@p56) :args (@t23)) % 0.40/0.63 (step @p58 :rule eq_resolve :premises (@p5 @p57)) % 0.40/0.63 (step @p59 :rule refl :args (@t56)) % 0.40/0.63 (step @p60 :rule arith_poly_norm :args ((= (* -1 (- @t57 0)) (* -1 (- @t1 1))))) % 0.40/0.63 (step @p61 :rule arith_poly_norm_rel :premises (@p60) :args ((= (>= @t57 0) @t58))) % 0.40/0.63 (step @p62 :rule refl :args (0)) % 0.40/0.63 (step @p63 :rule arith_poly_norm :args ((= (+ @t1 -1) @t57))) % 0.40/0.63 (step @p64 :rule evaluate :args (@t59)) % 0.40/0.63 (step @p65 :rule refl :args (@t1)) % 0.40/0.63 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t60)) % 0.40/0.63 (step @p67 :rule trans :premises (@p66 @p63)) % 0.40/0.63 (step @p68 :rule cong :premises (@p67 @p62) :args (@t61)) % 0.40/0.63 (step @p69 :rule trans :premises (@p68 @p61)) % 0.40/0.63 (step @p70 :rule refl :args (@t47)) % 0.40/0.63 (step @p71 :rule eq-symm :args (@t36 @t14)) % 0.40/0.63 (step @p72 :rule cong :premises (@p71) :args (@t62)) % 0.40/0.63 (step @p73 :rule nary_cong :premises (@p72 @p70 @p69 @p59) :args (@t63)) % 0.40/0.63 (step @p74 :rule cong :premises (@p73) :args (@t64)) % 0.40/0.63 (step @p75 :rule cong :premises (@p74) :args (@t65)) % 0.40/0.63 (step @p76 :rule refl :args (@t66)) % 0.40/0.63 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t67)) % 0.40/0.63 (step @p78 :rule refl :args (@t68)) % 0.40/0.63 (step @p79 :rule cong :premises (@p78 @p77) :args (@t69)) % 0.40/0.63 (step @p80 :rule refl :args (@t70)) % 0.40/0.63 (step @p81 :rule cong :premises (@p80 @p79) :args ((=> @t70 @t69))) % 0.40/0.63 (assume-push @p296 @t70) % 0.40/0.63 (step @p83 :rule instantiate :premises (@p58) :args ((@list 1 @t36))) % 0.40/0.63 (step-pop @p297 :rule scope :premises (@p83)) % 0.40/0.63 (step @p84 :rule process_scope :premises (@p297) :args (@t69)) % 0.40/0.63 (step @p86 :rule eq_resolve :premises (@p84 @p81)) % 0.40/0.63 (step @p87 :rule implies_elim :premises (@p86)) % 0.40/0.63 (step @p88 :rule chain_m_resolution :premises (@p87 @p58) :args (@t74 @t42 @t75)) % 0.40/0.63 (step @p89 :rule aci_norm :args ((= (or @t81 @t79 false @t78) @t82))) % 0.40/0.63 (step @p90 :rule refl :args (@t78)) % 0.40/0.63 (step @p91 :rule evaluate :args ((not true))) % 0.40/0.63 (step @p92 :rule eq-refl :args (@t77)) % 0.40/0.63 (step @p93 :rule cong :premises (@p92) :args (@t83)) % 0.40/0.63 (step @p94 :rule trans :premises (@p93 @p91)) % 0.40/0.63 (step @p95 :rule refl :args (@t79)) % 0.40/0.63 (step @p96 :rule refl :args (@t81)) % 0.40/0.63 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94 @p90) :args (@t84)) % 0.40/0.63 (step @p98 :rule trans :premises (@p97 @p89)) % 0.40/0.63 (step @p99 :rule cong :premises (@p98) :args ((forall @t85 @t84))) % 0.40/0.63 (step @p100 :rule quant-var-elim-eq :args ((= (forall @t89 @t88) @t84))) % 0.40/0.63 (step @p101 :rule aci_norm :args ((= @t90 @t88))) % 0.40/0.63 (step @p102 :rule cong :premises (@p101) :args (@t91)) % 0.40/0.63 (step @p103 :rule trans :premises (@p102 @p100)) % 0.40/0.63 (step @p104 :rule cong :premises (@p103) :args (@t92)) % 0.40/0.63 (step @p105 :rule quant-merge-prenex :args ((= @t92 (forall @t33 @t90)))) % 0.40/0.63 (step @p106 :rule symm :premises (@p105)) % 0.40/0.63 (step @p107 :rule trans :premises (@p106 @p104)) % 0.40/0.63 (step @p108 :rule trans :premises (@p107 @p99)) % 0.40/0.63 (step @p109 :rule aci_norm :args ((= (or @t93 @t25) @t90))) % 0.40/0.63 (step @p110 :rule refl :args (@t25)) % 0.40/0.63 (step @p111 :rule aci_norm :args ((= (or @t81 (or @t79 @t87)) @t93))) % 0.40/0.63 (step @p112 :rule bool-and-de-morgan :args (@t30 @t86 true)) % 0.40/0.63 (step @p113 :rule refl :args (@t81)) % 0.40/0.63 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t81 (not (and @t30 @t86))))) % 0.40/0.63 (step @p115 :rule bool-and-de-morgan :args (@t80 @t30 (and @t86))) % 0.40/0.63 (step @p116 :rule trans :premises (@p115 @p114)) % 0.40/0.63 (step @p117 :rule trans :premises (@p116 @p111)) % 0.40/0.63 (step @p118 :rule nary_cong :premises (@p117 @p110) :args ((or (not @t94) @t25))) % 0.40/0.63 (step @p119 :rule trans :premises (@p118 @p109)) % 0.40/0.63 (step @p120 :rule bool-impl-elim :args (@t94 @t25)) % 0.40/0.63 (step @p121 :rule trans :premises (@p120 @p119)) % 0.40/0.63 (step @p122 :rule cong :premises (@p121) :args ((forall @t33 (=> @t94 @t25)))) % 0.40/0.63 (step @p123 :rule trans :premises (@p122 @p108)) % 0.40/0.63 (step @p124 :rule refl :args (@t25)) % 0.40/0.63 (step @p125 :rule refl :args (@t26)) % 0.40/0.63 (step @p126 :rule arith_poly_norm :args ((= (+ @t12 -2) @t76))) % 0.40/0.63 (step @p127 :rule evaluate :args (@t95)) % 0.40/0.63 (step @p128 :rule refl :args (@t12)) % 0.40/0.63 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t96)) % 0.40/0.63 (step @p130 :rule trans :premises (@p129 @p126)) % 0.40/0.63 (step @p131 :rule arith_poly_norm :args ((= @t27 @t96))) % 0.40/0.63 (step @p132 :rule trans :premises (@p131 @p130)) % 0.40/0.63 (step @p133 :rule cong :premises (@p132 @p125) :args (@t28)) % 0.40/0.63 (step @p134 :rule refl :args (@t24)) % 0.40/0.63 (step @p135 :rule cong :premises (@p134 @p133) :args (@t29)) % 0.40/0.63 (step @p136 :rule refl :args (@t30)) % 0.40/0.63 (step @p137 :rule bool-double-not-elim :args (@t80)) % 0.40/0.63 (step @p138 :rule evaluate :args (@t97)) % 0.40/0.63 (step @p139 :rule refl :args (@t12)) % 0.40/0.63 (step @p140 :rule cong :premises (@p139 @p138) :args (@t98)) % 0.40/0.63 (step @p141 :rule cong :premises (@p140) :args ((not @t98))) % 0.40/0.63 (step @p142 :rule arith-leq-norm :args (@t12 0)) % 0.40/0.63 (step @p143 :rule trans :premises (@p142 @p141)) % 0.40/0.63 (step @p144 :rule cong :premises (@p143) :args ((not (<= @t12 0)))) % 0.40/0.63 (step @p145 :rule trans :premises (@p144 @p137)) % 0.40/0.63 (step @p146 :rule arith-elim-leq :args (@t12 0)) % 0.40/0.63 (step @p147 :rule symm :premises (@p146)) % 0.40/0.63 (step @p148 :rule cong :premises (@p147) :args ((not (>= 0 @t12)))) % 0.40/0.63 (step @p149 :rule arith-elim-gt :args (@t12 0)) % 0.40/0.63 (step @p150 :rule trans :premises (@p149 @p148)) % 0.40/0.63 (step @p151 :rule trans :premises (@p150 @p145)) % 0.40/0.63 (step @p152 :rule nary_cong :premises (@p151 @p136 @p135) :args (@t31)) % 0.40/0.63 (step @p153 :rule cong :premises (@p152 @p124) :args (@t32)) % 0.40/0.63 (step @p154 :rule cong :premises (@p153) :args (@t34)) % 0.40/0.63 (step @p155 :rule trans :premises (@p154 @p123)) % 0.40/0.63 (step @p156 :rule bool-double-not-elim :args (@t34)) % 0.40/0.63 (step @p157 :rule trans :premises (@p156 @p155)) % 0.40/0.63 (step @p158 :rule eq_resolve :premises (@p6 @p157)) % 0.40/0.63 (step @p159 :rule aci_norm :args ((= (or false @t100 @t68) @t101))) % 0.40/0.63 (step @p160 :rule refl :args (tptp.nil)) % 0.40/0.63 (step @p161 :rule evaluate :args (@t102)) % 0.40/0.63 (step @p162 :rule cong :premises (@p161 @p160) :args (@t103)) % 0.40/0.63 (step @p163 :rule refl :args (1)) % 0.40/0.63 (step @p164 :rule cong :premises (@p163 @p162) :args (@t104)) % 0.40/0.63 (step @p165 :rule refl :args (@t100)) % 0.40/0.63 (step @p166 :rule evaluate :args (@t105)) % 0.40/0.63 (step @p167 :rule cong :premises (@p166) :args (@t106)) % 0.40/0.63 (step @p168 :rule trans :premises (@p167 @p91)) % 0.40/0.63 (step @p169 :rule nary_cong :premises (@p168 @p165 @p164) :args (@t107)) % 0.40/0.63 (step @p170 :rule trans :premises (@p169 @p159)) % 0.40/0.63 (step @p171 :rule refl :args (@t108)) % 0.40/0.63 (step @p172 :rule cong :premises (@p171 @p170) :args ((=> @t108 @t107))) % 0.40/0.63 (assume-push @p298 @t108) % 0.40/0.63 (step @p174 :rule instantiate :premises (@p158) :args (@t109)) % 0.40/0.63 (step-pop @p299 :rule scope :premises (@p174)) % 0.40/0.63 (step @p175 :rule process_scope :premises (@p299) :args (@t107)) % 0.40/0.63 (step @p177 :rule eq_resolve :premises (@p175 @p172)) % 0.40/0.63 (step @p178 :rule implies_elim :premises (@p177)) % 0.40/0.63 (step @p179 :rule chain_m_resolution :premises (@p178 @p158) :args (@t101 @t42 (@list @t108))) % 0.40/0.63 (step @p180 :rule bool-eq-true :args (@t99)) % 0.40/0.63 (step @p181 :rule absorb :args ((= (or true (not (forall @t17 (or @t110 @t47 @t58 @t56)))) true))) % 0.40/0.63 (step @p182 :rule refl :args (@t110)) % 0.40/0.63 (step @p183 :rule nary_cong :premises (@p182 @p70 @p69 @p59) :args (@t111)) % 0.40/0.63 (step @p184 :rule cong :premises (@p183) :args (@t112)) % 0.40/0.63 (step @p185 :rule cong :premises (@p184) :args (@t113)) % 0.40/0.63 (step @p186 :rule eq-refl :args (tptp.nil)) % 0.40/0.63 (step @p187 :rule nary_cong :premises (@p186 @p185) :args (@t114)) % 0.40/0.63 (step @p188 :rule trans :premises (@p187 @p181)) % 0.40/0.63 (step @p189 :rule refl :args (@t99)) % 0.40/0.63 (step @p190 :rule cong :premises (@p189 @p188) :args (@t115)) % 0.40/0.63 (step @p191 :rule trans :premises (@p190 @p180)) % 0.40/0.63 (step @p192 :rule cong :premises (@p80 @p191) :args ((=> @t70 @t115))) % 0.40/0.63 (assume-push @p300 @t70) % 0.40/0.63 (step @p194 :rule instantiate :premises (@p58) :args (@t109)) % 0.40/0.63 (step-pop @p301 :rule scope :premises (@p194)) % 0.40/0.63 (step @p195 :rule process_scope :premises (@p301) :args (@t115)) % 0.40/0.63 (step @p197 :rule eq_resolve :premises (@p195 @p192)) % 0.40/0.63 (step @p198 :rule implies_elim :premises (@p197)) % 0.40/0.63 (step @p199 :rule chain_m_resolution :premises (@p198 @p58) :args (@t99 @t42 @t75)) % 0.40/0.63 (step @p200 :rule cnf_or_pos :args (@t101)) % 0.40/0.63 (step @p201 :rule reordering :premises (@p200) :args ((or @t100 @t68 (not @t101)))) % 0.40/0.63 (step @p202 :rule chain_m_resolution :premises (@p201 @p199 @p179) :args (@t68 @t116 (@list @t99 @t101))) % 0.40/0.63 (step @p203 :rule cnf_equiv_pos1 :args (@t74)) % 0.40/0.63 (step @p204 :rule reordering :premises (@p203) :args ((or (not @t68) @t73 (not @t74)))) % 0.40/0.63 (step @p205 :rule chain_m_resolution :premises (@p204 @p202 @p88) :args (@t73 @t116 (@list @t68 @t74))) % 0.40/0.63 (step @p206 :rule eq-symm :args (@t3 tptp.nil)) % 0.40/0.63 (step @p207 :rule cong :premises (@p206) :args (@t9)) % 0.40/0.63 (step @p208 :rule cong :premises (@p207) :args (@t10)) % 0.40/0.63 (step @p209 :rule eq_resolve :premises (@p4 @p208)) % 0.40/0.63 (step @p210 :rule instantiate :premises (@p209) :args (@t41)) % 0.40/0.63 (step @p211 :rule cnf_or_pos :args (@t73)) % 0.40/0.63 (step @p212 :rule reordering :premises (@p211) :args ((or @t66 @t72 (not @t73)))) % 0.40/0.63 (step @p213 :rule chain_m_resolution :premises (@p212 @p210 @p205) :args (@t72 (@list true false) (@list @t66 @t73))) % 0.40/0.63 (step @p214 :rule refl :args (@t127)) % 0.40/0.63 (step @p215 :rule bool-double-not-elim :args (@t71)) % 0.40/0.63 (step @p216 :rule nary_cong :premises (@p215 @p214) :args ((or (not @t72) @t127))) % 0.40/0.63 (step @p217 :rule refl :args (@t118)) % 0.40/0.63 (step @p218 :rule refl :args (@t120)) % 0.40/0.63 (step @p219 :rule refl :args (@t122)) % 0.40/0.63 (step @p220 :rule eq-symm :args (@t123 @t36)) % 0.40/0.63 (step @p221 :rule cong :premises (@p220) :args (@t128)) % 0.40/0.63 (step @p222 :rule nary_cong :premises (@p221 @p219 @p218 @p217) :args (@t129)) % 0.40/0.63 (step @p223 :rule cong :premises (@p222) :args (@t130)) % 0.40/0.63 (step @p224 :rule refl :args (@t72)) % 0.40/0.63 (step @p225 :rule cong :premises (@p224 @p223) :args ((=> @t72 @t130))) % 0.40/0.63 (assume-push @p302 @t72) % 0.40/0.63 (step @p227 :rule skolemize :premises (@p213)) % 0.40/0.63 (step-pop @p303 :rule scope :premises (@p227)) % 0.40/0.63 (step @p228 :rule process_scope :premises (@p303) :args (@t130)) % 0.40/0.63 (step @p230 :rule eq_resolve :premises (@p228 @p225)) % 0.40/0.63 (step @p231 :rule implies_elim :premises (@p230)) % 0.40/0.63 (step @p232 :rule eq_resolve :premises (@p231 @p216)) % 0.40/0.63 (step @p233 :rule chain_m_resolution :premises (@p232 @p213) :args (@t127 @t131 (@list @t71))) % 0.40/0.63 (step @p234 :rule bool-double-not-elim :args (@t124)) % 0.40/0.63 (step @p235 :rule refl :args (@t126)) % 0.40/0.63 (step @p236 :rule nary_cong :premises (@p235 @p234) :args ((or @t126 (not @t125)))) % 0.40/0.63 (step @p237 :rule cnf_or_neg :args (@t126 0)) % 0.40/0.63 (step @p238 :rule eq_resolve :premises (@p237 @p236)) % 0.40/0.63 (step @p239 :rule reordering :premises (@p238) :args ((or @t124 @t126))) % 0.40/0.63 (step @p240 :rule chain_m_resolution :premises (@p239 @p233) :args (@t124 @t131 @t132)) % 0.40/0.63 (step @p241 :rule bool-double-not-elim :args (@t121)) % 0.40/0.63 (step @p242 :rule nary_cong :premises (@p235 @p241) :args ((or @t126 (not @t122)))) % 0.40/0.63 (step @p243 :rule cnf_or_neg :args (@t126 1)) % 0.40/0.63 (step @p244 :rule eq_resolve :premises (@p243 @p242)) % 0.40/0.63 (step @p245 :rule reordering :premises (@p244) :args ((or @t121 @t126))) % 0.40/0.63 (step @p246 :rule chain_m_resolution :premises (@p245 @p233) :args (@t121 @t131 @t132)) % 0.40/0.63 (step @p247 :rule cnf_or_neg :args (@t126 2)) % 0.40/0.63 (step @p248 :rule chain_m_resolution :premises (@p247 @p233) :args (@t133 @t131 @t132)) % 0.40/0.63 (step @p249 :rule instantiate :premises (@p11) :args ((@list @t119 @t117))) % 0.40/0.63 (step @p250 :rule refl :args (@t136)) % 0.40/0.63 (step @p251 :rule bool-double-not-elim :args (@t120)) % 0.40/0.63 (step @p252 :rule refl :args (@t125)) % 0.40/0.63 (step @p253 :rule refl :args (@t137)) % 0.40/0.63 (step @p254 :rule nary_cong :premises (@p253 @p219 @p252 @p251 @p250) :args ((or @t137 @t122 @t125 (not @t133) @t136))) % 0.40/0.63 (assume-push @p304 @t38) % 0.40/0.63 (assume-push @p305 @t121) % 0.40/0.63 (assume-push @p306 @t124) % 0.40/0.63 (assume-push @p307 @t133) % 0.40/0.63 (assume-push @p308 (= 0 @t119)) % 0.40/0.63 (assume-push @p309 (= -1 @t134)) % 0.40/0.63 (step @p261 :rule evaluate :args ((= 0 -1))) % 0.40/0.63 (step @p262 :rule cong :premises (@p240) :args (@t37)) % 0.40/0.63 (step @p263 :rule instantiate :premises (@p11) :args (@t41)) % 0.40/0.63 (step @p264 :rule trans :premises (@p263 @p262)) % 0.40/0.63 (step @p265 :rule symm :premises (@p264)) % 0.40/0.63 (step @p266 :rule arith-elim-lt :args (@t119 1)) % 0.40/0.63 (step @p267 :rule symm :premises (@p266)) % 0.40/0.63 (step @p268 :rule eq_resolve :premises (@p248 @p267)) % 0.40/0.63 (step @p269 :rule int_tight_ub :premises (@p268)) % 0.40/0.63 (step @p270 :rule chain_m_resolution :premises (@p245 @p233) :args (@t121 @t131 @t132)) % 0.40/0.63 (step @p271 :rule arith_trichotomy :premises (@p270 @p269)) % 0.40/0.63 (step @p272 :rule cong :premises (@p271 @p265) :args (@t135)) % 0.40/0.63 (step @p273 :rule trans :premises (@p272 @p261)) % 0.40/0.63 (step @p274 :rule false_elim :premises (@p273)) % 0.40/0.63 (step-pop @p310 :rule scope :premises (@p274)) % 0.40/0.63 (step-pop @p311 :rule scope :premises (@p310)) % 0.40/0.63 (step @p275 :rule process_scope :premises (@p311) :args (@t136)) % 0.40/0.63 (step @p262 :rule cong :premises (@p240) :args (@t37)) % 0.40/0.63 (step @p17 :rule instantiate :premises (@p11) :args (@t41)) % 0.40/0.63 (step @p278 :rule trans :premises (@p17 @p262)) % 0.40/0.63 (step @p266 :rule arith-elim-lt :args (@t119 1)) % 0.40/0.63 (step @p267 :rule symm :premises (@p266)) % 0.40/0.63 (step @p268 :rule eq_resolve :premises (@p248 @p267)) % 0.40/0.63 (step @p269 :rule int_tight_ub :premises (@p268)) % 0.40/0.63 (step @p279 :rule arith_trichotomy :premises (@p246 @p269)) % 0.40/0.63 (step @p280 :rule symm :premises (@p279)) % 0.40/0.63 (step @p281 :rule and_intro :premises (@p280 @p278)) % 0.40/0.63 (step @p282 :rule modus_ponens :premises (@p281 @p275)) % 0.40/0.63 (step-pop @p312 :rule scope :premises (@p282)) % 0.40/0.63 (step-pop @p313 :rule scope :premises (@p312)) % 0.40/0.63 (step-pop @p314 :rule scope :premises (@p313)) % 0.40/0.63 (step-pop @p315 :rule scope :premises (@p314)) % 0.40/0.63 (step @p283 :rule process_scope :premises (@p315) :args (@t136)) % 0.40/0.63 (step @p288 :rule implies_elim :premises (@p283)) % 0.40/0.63 (step @p289 :rule cnf_and_neg :args (@t138)) % 0.40/0.63 (step @p290 :rule resolution :premises (@p289 @p288) :args (true @t138)) % 0.40/0.63 (step @p291 :rule eq_resolve :premises (@p290 @p254)) % 0.40/0.63 (step @p292 :rule reordering :premises (@p291) :args ((or @t137 @t122 @t120 @t125 @t136))) % 0.40/0.63 (step @p293 false :rule chain_m_resolution :premises (@p292 @p249 @p248 @p246 @p240 @p22) :args (false (@list false true false false false) (@list @t135 @t120 @t121 @t124 @t38))) % 0.40/0.63 ) % 0.40/0.63 % SZS output end Proof % 0.40/0.63 % cvc5 exiting %------------------------------------------------------------------------------