%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT101_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 : n004.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 0.39s 0.63s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT101_1 : TPTP v9.2.1. Released v6.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.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 22:28:22 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_ARI % 0.39/0.63 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.39/0.63 % SZS status Theorem % 0.39/0.63 % SZS output start Proof % 0.39/0.63 ( % 0.39/0.63 (declare-sort tptp.list 0) % 0.39/0.63 (declare-const tptp.inRange (-> Int tptp.list Bool)) % 0.39/0.63 (declare-const tptp.nil tptp.list) % 0.39/0.63 (declare-const tptp.tail (-> tptp.list tptp.list)) % 0.39/0.63 (declare-const tptp.head (-> tptp.list Int)) % 0.39/0.63 (declare-const tptp.cons (-> Int tptp.list tptp.list)) % 0.39/0.63 (define @t1 () (@var "K" Int)) % 0.39/0.63 (define @t2 () (@var "L" tptp.list)) % 0.39/0.63 (define @t3 () (tptp.cons @t1 @t2)) % 0.39/0.63 (define @t4 () (tptp.head @t3)) % 0.39/0.63 (define @t5 () (= @t4 @t1)) % 0.39/0.63 (define @t6 () (@list @t1 @t2)) % 0.39/0.63 (define @t7 () (forall @t6 @t5)) % 0.39/0.63 (define @t8 () (tptp.tail @t3)) % 0.39/0.63 (define @t9 () (forall @t6 (= @t8 @t2))) % 0.39/0.63 (define @t10 () (= @t2 tptp.nil)) % 0.39/0.63 (define @t11 () (not (= @t3 tptp.nil))) % 0.39/0.63 (define @t12 () (forall @t6 @t11)) % 0.39/0.63 (define @t13 () (@var "T" tptp.list)) % 0.39/0.63 (define @t14 () (@var "N" Int)) % 0.39/0.63 (define @t15 () (tptp.inRange @t14 @t13)) % 0.39/0.63 (define @t16 () (tptp.cons @t1 @t13)) % 0.39/0.63 (define @t17 () (= @t2 @t16)) % 0.39/0.63 (define @t18 () (and @t17 (<= 0 @t1) (< @t1 @t14) @t15)) % 0.39/0.63 (define @t19 () (@list @t1 @t13)) % 0.39/0.63 (define @t20 () (exists @t19 @t18)) % 0.39/0.63 (define @t21 () (or @t10 @t20)) % 0.39/0.63 (define @t22 () (tptp.inRange @t14 @t2)) % 0.39/0.63 (define @t23 () (= @t22 @t21)) % 0.39/0.63 (define @t24 () (@list @t14 @t2)) % 0.39/0.63 (define @t25 () (forall @t24 @t23)) % 0.39/0.63 (define @t26 () (tptp.cons 2 tptp.nil)) % 0.39/0.63 (define @t27 () (tptp.cons 5 @t26)) % 0.39/0.63 (define @t28 () (tptp.cons 1 @t27)) % 0.39/0.63 (define @t29 () (tptp.inRange @t14 @t28)) % 0.39/0.63 (define @t30 () (>= @t14 4)) % 0.39/0.63 (define @t31 () (@list @t14)) % 0.39/0.63 (define @t32 () (forall @t31 (=> @t30 @t29))) % 0.39/0.63 (define @t33 () (= @t1 @t4)) % 0.39/0.63 (define @t34 () (tptp.head @t27)) % 0.39/0.63 (define @t35 () (= @t34 5)) % 0.39/0.63 (define @t36 () (= 5 @t34)) % 0.39/0.63 (define @t37 () (forall @t6 @t33)) % 0.39/0.63 (define @t38 () (@list 5 @t26)) % 0.39/0.63 (define @t39 () (@list false)) % 0.39/0.63 (define @t40 () (@list 1 @t27)) % 0.39/0.63 (define @t41 () (not @t15)) % 0.39/0.63 (define @t42 () (+ @t1 (* -1 @t14))) % 0.39/0.63 (define @t43 () (>= @t42 0)) % 0.39/0.63 (define @t44 () (>= @t1 0)) % 0.39/0.63 (define @t45 () (not @t44)) % 0.39/0.63 (define @t46 () (not @t17)) % 0.39/0.63 (define @t47 () (not @t43)) % 0.39/0.63 (define @t48 () (not @t47)) % 0.39/0.63 (define @t49 () (or @t46 @t45 @t48 @t41)) % 0.39/0.63 (define @t50 () (and @t17 @t44 @t47 @t15)) % 0.39/0.63 (define @t51 () (forall @t19 (not @t50))) % 0.39/0.63 (define @t52 () (not @t51)) % 0.39/0.63 (define @t53 () (>= @t1 @t14)) % 0.39/0.63 (define @t54 () (not (tptp.inRange 4 @t13))) % 0.39/0.63 (define @t55 () (+ -4 @t1)) % 0.39/0.63 (define @t56 () (>= @t1 4)) % 0.39/0.63 (define @t57 () (* -1 4)) % 0.39/0.63 (define @t58 () (+ @t1 @t57)) % 0.39/0.63 (define @t59 () (>= @t58 0)) % 0.39/0.63 (define @t60 () (not (= @t28 @t16))) % 0.39/0.63 (define @t61 () (or @t60 @t45 @t59 @t54)) % 0.39/0.63 (define @t62 () (forall @t19 @t61)) % 0.39/0.63 (define @t63 () (not @t62)) % 0.39/0.63 (define @t64 () (= tptp.nil @t28)) % 0.39/0.63 (define @t65 () (or @t64 @t63)) % 0.39/0.63 (define @t66 () (tptp.inRange 4 @t28)) % 0.39/0.63 (define @t67 () (= @t66 @t65)) % 0.39/0.63 (define @t68 () (forall @t24 (= @t22 (or (= tptp.nil @t2) (not (forall @t19 (or @t46 @t45 @t43 @t41))))))) % 0.39/0.63 (define @t69 () (forall @t19 (or (not (= @t16 @t28)) @t45 @t56 @t54))) % 0.39/0.63 (define @t70 () (not @t69)) % 0.39/0.63 (define @t71 () (or @t64 @t70)) % 0.39/0.63 (define @t72 () (= @t66 @t71)) % 0.39/0.63 (define @t73 () (@list @t68)) % 0.39/0.63 (define @t74 () (>= 4 4)) % 0.39/0.63 (define @t75 () (not @t74)) % 0.39/0.63 (define @t76 () (or @t75 @t66)) % 0.39/0.63 (define @t77 () (forall @t31 (or (not @t30) @t29))) % 0.39/0.63 (define @t78 () (@list false false)) % 0.39/0.63 (define @t79 () (@list true false)) % 0.39/0.63 (define @t80 () (@quantifiers_skolemize @t69 1)) % 0.39/0.63 (define @t81 () (tptp.inRange 4 @t80)) % 0.39/0.63 (define @t82 () (not @t81)) % 0.39/0.63 (define @t83 () (@quantifiers_skolemize @t69 0)) % 0.39/0.63 (define @t84 () (>= @t83 4)) % 0.39/0.63 (define @t85 () (not (>= @t83 0))) % 0.39/0.63 (define @t86 () (tptp.cons @t83 @t80)) % 0.39/0.63 (define @t87 () (= @t28 @t86)) % 0.39/0.63 (define @t88 () (not @t87)) % 0.39/0.63 (define @t89 () (or @t88 @t85 @t84 @t82)) % 0.39/0.63 (define @t90 () (not @t89)) % 0.39/0.63 (define @t91 () (not (= @t86 @t28))) % 0.39/0.63 (define @t92 () (or @t91 @t85 @t84 @t82)) % 0.39/0.63 (define @t93 () (not @t92)) % 0.39/0.63 (define @t94 () (@list true)) % 0.39/0.63 (define @t95 () (@list @t89)) % 0.39/0.63 (define @t96 () (not (= @t80 @t16))) % 0.39/0.63 (define @t97 () (or @t96 @t45 @t59 @t54)) % 0.39/0.63 (define @t98 () (forall @t19 @t97)) % 0.39/0.63 (define @t99 () (not @t98)) % 0.39/0.63 (define @t100 () (= tptp.nil @t80)) % 0.39/0.63 (define @t101 () (or @t100 @t99)) % 0.39/0.63 (define @t102 () (= @t81 @t101)) % 0.39/0.63 (define @t103 () (forall @t19 (or (not (= @t16 @t80)) @t45 @t56 @t54))) % 0.39/0.63 (define @t104 () (not @t103)) % 0.39/0.63 (define @t105 () (or @t100 @t104)) % 0.39/0.63 (define @t106 () (= @t81 @t105)) % 0.39/0.63 (define @t107 () (tptp.tail @t86)) % 0.39/0.63 (define @t108 () (@quantifiers_skolemize @t103 1)) % 0.39/0.63 (define @t109 () (not (tptp.inRange 4 @t108))) % 0.39/0.63 (define @t110 () (@quantifiers_skolemize @t103 0)) % 0.39/0.63 (define @t111 () (>= @t110 4)) % 0.39/0.63 (define @t112 () (not (>= @t110 0))) % 0.39/0.63 (define @t113 () (tptp.cons @t110 @t108)) % 0.39/0.63 (define @t114 () (= @t80 @t113)) % 0.39/0.63 (define @t115 () (not @t114)) % 0.39/0.63 (define @t116 () (or @t115 @t112 @t111 @t109)) % 0.39/0.63 (define @t117 () (not @t116)) % 0.39/0.63 (define @t118 () (not (= @t113 @t80))) % 0.39/0.63 (define @t119 () (or @t118 @t112 @t111 @t109)) % 0.39/0.63 (define @t120 () (not @t119)) % 0.39/0.63 (define @t121 () (@list @t116)) % 0.39/0.63 (define @t122 () (not @t111)) % 0.39/0.63 (define @t123 () (tptp.head @t113)) % 0.39/0.63 (define @t124 () (= @t110 @t123)) % 0.39/0.63 (define @t125 () (not @t124)) % 0.39/0.63 (define @t126 () (= @t80 @t107)) % 0.39/0.63 (define @t127 () (not @t126)) % 0.39/0.63 (define @t128 () (tptp.tail @t28)) % 0.39/0.63 (define @t129 () (= @t27 @t128)) % 0.39/0.63 (define @t130 () (not @t129)) % 0.39/0.63 (define @t131 () (not @t35)) % 0.39/0.63 (define @t132 () (= 5 @t110)) % 0.39/0.63 (define @t133 () (= @t110 5)) % 0.39/0.63 (define @t134 () (* -1 5)) % 0.39/0.63 (define @t135 () (+ @t134 3)) % 0.39/0.63 (define @t136 () (+ (* -1 @t110) @t110)) % 0.39/0.63 (define @t137 () (and @t132 @t122)) % 0.39/0.63 (assume @p1 @t7) % 0.39/0.63 (assume @p2 @t9) % 0.39/0.63 (assume @p3 (forall (@list @t2) (or @t10 (= @t2 (tptp.cons (tptp.head @t2) (tptp.tail @t2)))))) % 0.39/0.63 (assume @p4 @t12) % 0.39/0.63 (assume @p5 @t25) % 0.39/0.63 (assume @p6 (not (not @t32))) % 0.39/0.63 (assume @p7 true) % 0.39/0.63 (step @p8 :rule arith_poly_norm :args ((= (* 1 (- @t4 @t1)) (* -1 (- @t1 @t4))))) % 0.39/0.63 (step @p9 :rule arith_poly_norm_rel :premises (@p8) :args ((= @t5 @t33))) % 0.39/0.63 (step @p10 :rule cong :premises (@p9) :args (@t7)) % 0.39/0.63 (step @p11 :rule eq_resolve :premises (@p1 @p10)) % 0.39/0.63 (step @p12 :rule arith_poly_norm :args ((= (* -5 (- 5 @t34)) (* 5 (- @t34 5))))) % 0.39/0.63 (step @p13 :rule arith_poly_norm_rel :premises (@p12) :args ((= @t36 @t35))) % 0.39/0.63 (step @p14 :rule refl :args (@t37)) % 0.39/0.63 (step @p15 :rule cong :premises (@p14 @p13) :args ((=> @t37 @t36))) % 0.39/0.63 (assume-push @p298 @t37) % 0.39/0.63 (step @p17 :rule instantiate :premises (@p11) :args (@t38)) % 0.39/0.63 (step-pop @p299 :rule scope :premises (@p17)) % 0.39/0.63 (step @p18 :rule process_scope :premises (@p299) :args (@t36)) % 0.39/0.63 (step @p20 :rule eq_resolve :premises (@p18 @p15)) % 0.39/0.63 (step @p21 :rule implies_elim :premises (@p20)) % 0.39/0.63 (step @p22 :rule chain_m_resolution :premises (@p21 @p11) :args (@t35 @t39 (@list @t37))) % 0.39/0.63 (step @p23 :rule eq-symm :args (@t8 @t2)) % 0.39/0.63 (step @p24 :rule cong :premises (@p23) :args (@t9)) % 0.39/0.63 (step @p25 :rule eq_resolve :premises (@p2 @p24)) % 0.39/0.63 (step @p26 :rule instantiate :premises (@p25) :args (@t40)) % 0.39/0.63 (step @p27 :rule refl :args (@t41)) % 0.39/0.63 (step @p28 :rule bool-double-not-elim :args (@t43)) % 0.39/0.63 (step @p29 :rule refl :args (@t45)) % 0.39/0.63 (step @p30 :rule refl :args (@t46)) % 0.39/0.63 (step @p31 :rule nary_cong :premises (@p30 @p29 @p28 @p27) :args (@t49)) % 0.39/0.63 (step @p32 :rule aci_norm :args ((= (or @t46 (or @t45 (or @t48 @t41))) @t49))) % 0.39/0.63 (step @p33 :rule trans :premises (@p32 @p31)) % 0.39/0.63 (step @p34 :rule bool-and-de-morgan :args (@t47 @t15 true)) % 0.39/0.63 (step @p35 :rule nary_cong :premises (@p29 @p34) :args ((or @t45 (not (and @t47 @t15))))) % 0.39/0.63 (step @p36 :rule bool-and-de-morgan :args (@t44 @t47 (and @t15))) % 0.39/0.63 (step @p37 :rule trans :premises (@p36 @p35)) % 0.39/0.63 (step @p38 :rule nary_cong :premises (@p30 @p37) :args ((or @t46 (not (and @t44 @t47 @t15))))) % 0.39/0.63 (step @p39 :rule bool-and-de-morgan :args (@t17 @t44 (and @t47 @t15))) % 0.39/0.63 (step @p40 :rule trans :premises (@p39 @p38)) % 0.39/0.63 (step @p41 :rule trans :premises (@p40 @p33)) % 0.39/0.63 (step @p42 :rule cong :premises (@p41) :args (@t51)) % 0.39/0.63 (step @p43 :rule cong :premises (@p42) :args (@t52)) % 0.39/0.63 (step @p44 :rule exists-elim :args ((= (exists @t19 @t50) @t52))) % 0.39/0.63 (step @p45 :rule trans :premises (@p44 @p43)) % 0.39/0.63 (step @p46 :rule refl :args (@t15)) % 0.39/0.63 (step @p47 :rule arith_poly_norm :args ((= (* 1 (- @t1 @t14)) (* 1 (- @t42 0))))) % 0.39/0.63 (step @p48 :rule arith_poly_norm_rel :premises (@p47) :args ((= @t53 @t43))) % 0.39/0.63 (step @p49 :rule cong :premises (@p48) :args ((not @t53))) % 0.39/0.63 (step @p50 :rule arith-elim-lt :args (@t1 @t14)) % 0.39/0.63 (step @p51 :rule trans :premises (@p50 @p49)) % 0.39/0.63 (step @p52 :rule arith-elim-leq :args (0 @t1)) % 0.39/0.63 (step @p53 :rule refl :args (@t17)) % 0.39/0.63 (step @p54 :rule nary_cong :premises (@p53 @p52 @p51 @p46) :args (@t18)) % 0.39/0.63 (step @p55 :rule cong :premises (@p54) :args (@t20)) % 0.39/0.63 (step @p56 :rule trans :premises (@p55 @p45)) % 0.39/0.63 (step @p57 :rule eq-symm :args (@t2 tptp.nil)) % 0.39/0.63 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t21)) % 0.39/0.63 (step @p59 :rule refl :args (@t22)) % 0.39/0.63 (step @p60 :rule cong :premises (@p59 @p58) :args (@t23)) % 0.39/0.63 (step @p61 :rule cong :premises (@p60) :args (@t25)) % 0.39/0.63 (step @p62 :rule eq_resolve :premises (@p5 @p61)) % 0.39/0.63 (step @p63 :rule refl :args (@t54)) % 0.39/0.63 (step @p64 :rule arith_poly_norm :args ((= (* -4 (- @t55 0)) (* -4 (- @t1 4))))) % 0.39/0.63 (step @p65 :rule arith_poly_norm_rel :premises (@p64) :args ((= (>= @t55 0) @t56))) % 0.39/0.63 (step @p66 :rule refl :args (0)) % 0.39/0.63 (step @p67 :rule arith_poly_norm :args ((= (+ @t1 -4) @t55))) % 0.39/0.63 (step @p68 :rule evaluate :args (@t57)) % 0.39/0.63 (step @p69 :rule refl :args (@t1)) % 0.39/0.63 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t58)) % 0.39/0.63 (step @p71 :rule trans :premises (@p70 @p67)) % 0.39/0.63 (step @p72 :rule cong :premises (@p71 @p66) :args (@t59)) % 0.39/0.63 (step @p73 :rule trans :premises (@p72 @p65)) % 0.39/0.63 (step @p74 :rule refl :args (@t45)) % 0.39/0.63 (step @p75 :rule eq-symm :args (@t28 @t16)) % 0.39/0.63 (step @p76 :rule cong :premises (@p75) :args (@t60)) % 0.39/0.63 (step @p77 :rule nary_cong :premises (@p76 @p74 @p73 @p63) :args (@t61)) % 0.39/0.63 (step @p78 :rule cong :premises (@p77) :args (@t62)) % 0.39/0.63 (step @p79 :rule cong :premises (@p78) :args (@t63)) % 0.39/0.63 (step @p80 :rule refl :args (@t64)) % 0.39/0.63 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t65)) % 0.39/0.63 (step @p82 :rule refl :args (@t66)) % 0.39/0.63 (step @p83 :rule cong :premises (@p82 @p81) :args (@t67)) % 0.39/0.63 (step @p84 :rule refl :args (@t68)) % 0.39/0.63 (step @p85 :rule cong :premises (@p84 @p83) :args ((=> @t68 @t67))) % 0.39/0.63 (assume-push @p300 @t68) % 0.39/0.63 (step @p87 :rule instantiate :premises (@p62) :args ((@list 4 @t28))) % 0.39/0.63 (step-pop @p301 :rule scope :premises (@p87)) % 0.39/0.63 (step @p88 :rule process_scope :premises (@p301) :args (@t67)) % 0.39/0.63 (step @p90 :rule eq_resolve :premises (@p88 @p85)) % 0.39/0.63 (step @p91 :rule implies_elim :premises (@p90)) % 0.39/0.63 (step @p92 :rule chain_m_resolution :premises (@p91 @p62) :args (@t72 @t39 @t73)) % 0.39/0.63 (step @p93 :rule bool-impl-elim :args (@t30 @t29)) % 0.39/0.63 (step @p94 :rule cong :premises (@p93) :args (@t32)) % 0.39/0.63 (step @p95 :rule bool-double-not-elim :args (@t32)) % 0.39/0.63 (step @p96 :rule trans :premises (@p95 @p94)) % 0.39/0.63 (step @p97 :rule eq_resolve :premises (@p6 @p96)) % 0.39/0.63 (step @p98 :rule aci_norm :args ((= (or false @t66) @t66))) % 0.39/0.63 (step @p99 :rule evaluate :args ((not true))) % 0.39/0.63 (step @p100 :rule evaluate :args (@t74)) % 0.39/0.63 (step @p101 :rule cong :premises (@p100) :args (@t75)) % 0.39/0.63 (step @p102 :rule trans :premises (@p101 @p99)) % 0.39/0.63 (step @p103 :rule nary_cong :premises (@p102 @p82) :args (@t76)) % 0.39/0.63 (step @p104 :rule trans :premises (@p103 @p98)) % 0.39/0.63 (step @p105 :rule refl :args (@t77)) % 0.39/0.63 (step @p106 :rule cong :premises (@p105 @p104) :args ((=> @t77 @t76))) % 0.39/0.63 (assume-push @p302 @t77) % 0.39/0.63 (step @p108 :rule instantiate :premises (@p97) :args ((@list 4))) % 0.39/0.63 (step-pop @p303 :rule scope :premises (@p108)) % 0.39/0.63 (step @p109 :rule process_scope :premises (@p303) :args (@t76)) % 0.39/0.63 (step @p111 :rule eq_resolve :premises (@p109 @p106)) % 0.39/0.63 (step @p112 :rule implies_elim :premises (@p111)) % 0.39/0.63 (step @p113 :rule chain_m_resolution :premises (@p112 @p97) :args (@t66 @t39 (@list @t77))) % 0.39/0.63 (step @p114 :rule cnf_equiv_pos1 :args (@t72)) % 0.39/0.63 (step @p115 :rule reordering :premises (@p114) :args ((or (not @t66) @t71 (not @t72)))) % 0.39/0.63 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p92) :args (@t71 @t78 (@list @t66 @t72))) % 0.39/0.63 (step @p117 :rule eq-symm :args (@t3 tptp.nil)) % 0.39/0.63 (step @p118 :rule cong :premises (@p117) :args (@t11)) % 0.39/0.63 (step @p119 :rule cong :premises (@p118) :args (@t12)) % 0.39/0.63 (step @p120 :rule eq_resolve :premises (@p4 @p119)) % 0.39/0.63 (step @p121 :rule instantiate :premises (@p120) :args (@t40)) % 0.39/0.63 (step @p122 :rule cnf_or_pos :args (@t71)) % 0.39/0.63 (step @p123 :rule reordering :premises (@p122) :args ((or @t64 @t70 (not @t71)))) % 0.39/0.63 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p116) :args (@t70 @t79 (@list @t64 @t71))) % 0.39/0.63 (step @p125 :rule refl :args 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% 0.39/0.63 (step @p227 :rule refl :args (@t130)) % 0.39/0.63 (step @p228 :rule refl :args (@t131)) % 0.39/0.63 (step @p229 :rule nary_cong :premises (@p228 @p227 @p226 @p225 @p224 @p223 @p222) :args ((or @t131 @t130 @t88 @t127 @t115 (not @t122) @t125))) % 0.39/0.63 (assume-push @p310 @t132) % 0.39/0.63 (assume-push @p311 @t122) % 0.39/0.63 (assume-push @p312 @t133) % 0.39/0.63 (step @p233 :rule evaluate :args ((<= 0 -2))) % 0.39/0.63 (step @p234 :rule evaluate :args ((+ -5 3))) % 0.39/0.63 (step @p235 :rule refl :args (3)) % 0.39/0.63 (step @p236 :rule evaluate :args (@t134)) % 0.39/0.63 (step @p237 :rule nary_cong :premises (@p236 @p235) :args (@t135)) % 0.39/0.63 (step @p238 :rule trans :premises (@p237 @p234)) % 0.39/0.63 (step @p239 :rule arith_poly_norm :args ((= @t136 0))) % 0.39/0.63 (step @p240 :rule cong :premises (@p239 @p238) :args ((<= @t136 @t135))) % 0.39/0.63 (step @p241 :rule trans :premises (@p240 @p233)) % 0.39/0.63 (step @p242 :rule arith-elim-lt :args (@t110 4)) % 0.39/0.63 (step @p243 :rule symm :premises (@p242)) % 0.39/0.63 (step @p244 :rule eq_resolve :premises (@p220 @p243)) % 0.39/0.63 (step @p245 :rule int_tight_ub :premises (@p244)) % 0.39/0.63 (step @p246 :rule arith_mult_neg :args (-1 @t133)) % 0.39/0.63 (step @p247 :rule evaluate :args ((< -1 0))) % 0.39/0.63 (step @p248 :rule true_elim :premises (@p247)) % 0.39/0.63 (step @p249 :rule and_intro :premises (@p248 @p312)) % 0.39/0.63 (step @p250 :rule modus_ponens :premises (@p249 @p246)) % 0.39/0.63 (step @p251 :rule arith_sum_ub :premises (@p250 @p245)) % 0.39/0.63 (step @p252 false :rule eq_resolve :premises (@p251 @p241)) % 0.39/0.63 (step-pop @p313 :rule scope :premises (@p252)) % 0.39/0.63 (step @p253 :rule process_scope :premises (@p313) :args (false)) % 0.39/0.63 (step @p255 :rule symm :premises (@p310)) % 0.39/0.63 (step @p256 false :rule contra :premises (@p255 @p253)) % 0.39/0.63 (step-pop @p314 :rule scope :premises (@p256)) % 0.39/0.63 (step-pop @p315 :rule scope :premises (@p314)) % 0.39/0.63 (step @p257 :rule process_scope :premises (@p315) :args (false)) % 0.39/0.63 (assume-push @p316 @t35) % 0.39/0.63 (assume-push @p317 @t129) % 0.39/0.63 (assume-push @p318 @t87) % 0.39/0.63 (assume-push @p319 @t126) % 0.39/0.63 (assume-push @p320 @t114) % 0.39/0.63 (assume-push @p321 @t122) % 0.39/0.63 (assume-push @p322 @t124) % 0.39/0.63 (assume-push @p323 @t124) % 0.39/0.63 (assume-push @p324 (= 5 @t123)) % 0.39/0.63 (step @p269 :rule symm :premises (@p221)) % 0.39/0.63 (step @p270 :rule symm :premises (@p152)) % 0.39/0.63 (step @p271 :rule cong :premises (@p151) :args (@t128)) % 0.39/0.63 (step @p272 :rule trans :premises (@p26 @p271 @p270 @p218)) % 0.39/0.63 (step @p273 :rule cong :premises (@p272) :args (@t34)) % 0.39/0.63 (step @p274 :rule instantiate :premises (@p11) :args (@t38)) % 0.39/0.63 (step @p275 :rule trans :premises (@p274 @p273)) % 0.39/0.63 (step @p276 :rule trans :premises (@p275 @p269)) % 0.39/0.63 (step-pop @p325 :rule scope :premises (@p276)) % 0.39/0.63 (step-pop @p326 :rule scope :premises (@p325)) % 0.39/0.63 (step @p277 :rule process_scope :premises (@p326) :args (@t132)) % 0.39/0.63 (step @p270 :rule symm :premises (@p152)) % 0.39/0.63 (step @p271 :rule cong :premises (@p151) :args (@t128)) % 0.39/0.63 (step @p272 :rule trans :premises (@p26 @p271 @p270 @p218)) % 0.39/0.63 (step @p273 :rule cong :premises (@p272) :args (@t34)) % 0.39/0.63 (step @p17 :rule instantiate :premises (@p11) :args (@t38)) % 0.39/0.63 (step @p280 :rule trans :premises (@p17 @p273)) % 0.39/0.63 (step @p281 :rule and_intro :premises (@p221 @p280)) % 0.39/0.63 (step @p282 :rule modus_ponens :premises (@p281 @p277)) % 0.39/0.63 (step @p283 :rule and_intro :premises (@p282 @p220)) % 0.39/0.63 (step-pop @p327 :rule scope :premises (@p283)) % 0.39/0.63 (step-pop @p328 :rule scope :premises (@p327)) % 0.39/0.63 (step-pop @p329 :rule scope :premises (@p328)) % 0.39/0.63 (step-pop @p330 :rule scope :premises (@p329)) % 0.39/0.63 (step-pop @p331 :rule scope :premises (@p330)) % 0.39/0.63 (step-pop @p332 :rule scope :premises (@p331)) % 0.39/0.63 (step-pop @p333 :rule scope :premises (@p332)) % 0.39/0.63 (step @p284 :rule process_scope :premises (@p333) :args (@t137)) % 0.39/0.63 (step @p292 :rule implies_elim :premises (@p284)) % 0.39/0.63 (step @p293 :rule resolution :premises (@p292 @p257) :args (true @t137)) % 0.39/0.63 (step @p294 :rule not_and :premises (@p293)) % 0.39/0.63 (step @p295 :rule eq_resolve :premises (@p294 @p229)) % 0.39/0.63 (step @p296 :rule reordering :premises (@p295) :args ((or @t131 @t130 @t88 @t127 @t111 @t115 @t125))) % 0.39/0.63 (step @p297 false :rule chain_m_resolution :premises (@p296 @p221 @p220 @p218 @p152 @p151 @p26 @p22) :args (false (@list false true false false false false false) (@list @t124 @t111 @t114 @t126 @t87 @t129 @t35))) % 0.39/0.63 ) % 0.39/0.63 % SZS output end Proof % 0.39/0.63 % cvc5 exiting %------------------------------------------------------------------------------