%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT100_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 : n005.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 0.43s 0.64s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT100_1 : TPTP v9.2.1. Released v6.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.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 22:28:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_ARI % 0.43/0.64 --- Run --finite-model-find --decision=internal at 45... % 0.43/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.43/0.64 % SZS status Theorem % 0.43/0.64 % SZS output start Proof % 0.43/0.64 ( % 0.43/0.64 (declare-sort tptp.list 0) % 0.43/0.64 (declare-const tptp.inRange (-> Int tptp.list Bool)) % 0.43/0.64 (declare-const tptp.nil tptp.list) % 0.43/0.64 (declare-const tptp.tail (-> tptp.list tptp.list)) % 0.43/0.64 (declare-const tptp.head (-> tptp.list Int)) % 0.43/0.64 (declare-const tptp.cons (-> Int tptp.list tptp.list)) % 0.43/0.64 (define @t1 () (@var "K" Int)) % 0.43/0.64 (define @t2 () (@var "L" tptp.list)) % 0.43/0.64 (define @t3 () (tptp.cons @t1 @t2)) % 0.43/0.64 (define @t4 () (tptp.head @t3)) % 0.43/0.64 (define @t5 () (= @t4 @t1)) % 0.43/0.64 (define @t6 () (@list @t1 @t2)) % 0.43/0.64 (define @t7 () (forall @t6 @t5)) % 0.43/0.64 (define @t8 () (tptp.tail @t3)) % 0.43/0.64 (define @t9 () (forall @t6 (= @t8 @t2))) % 0.43/0.64 (define @t10 () (= @t2 tptp.nil)) % 0.43/0.64 (define @t11 () (not (= @t3 tptp.nil))) % 0.43/0.64 (define @t12 () (forall @t6 @t11)) % 0.43/0.64 (define @t13 () (@var "T" tptp.list)) % 0.43/0.64 (define @t14 () (@var "N" Int)) % 0.43/0.64 (define @t15 () (tptp.inRange @t14 @t13)) % 0.43/0.64 (define @t16 () (tptp.cons @t1 @t13)) % 0.43/0.64 (define @t17 () (= @t2 @t16)) % 0.43/0.64 (define @t18 () (and @t17 (<= 0 @t1) (< @t1 @t14) @t15)) % 0.43/0.64 (define @t19 () (@list @t1 @t13)) % 0.43/0.64 (define @t20 () (exists @t19 @t18)) % 0.43/0.64 (define @t21 () (or @t10 @t20)) % 0.43/0.64 (define @t22 () (tptp.inRange @t14 @t2)) % 0.43/0.64 (define @t23 () (= @t22 @t21)) % 0.43/0.64 (define @t24 () (@list @t14 @t2)) % 0.43/0.64 (define @t25 () (forall @t24 @t23)) % 0.43/0.64 (define @t26 () (tptp.cons 2 tptp.nil)) % 0.43/0.64 (define @t27 () (tptp.cons 5 @t26)) % 0.43/0.64 (define @t28 () (tptp.cons 1 @t27)) % 0.43/0.64 (define @t29 () (tptp.inRange 4 @t28)) % 0.43/0.64 (define @t30 () (not @t29)) % 0.43/0.64 (define @t31 () (= @t1 @t4)) % 0.43/0.64 (define @t32 () (tptp.head @t27)) % 0.43/0.64 (define @t33 () (= @t32 5)) % 0.43/0.64 (define @t34 () (= 5 @t32)) % 0.43/0.64 (define @t35 () (forall @t6 @t31)) % 0.43/0.64 (define @t36 () (@list 5 @t26)) % 0.43/0.64 (define @t37 () (@list false)) % 0.43/0.64 (define @t38 () (@list 1 @t27)) % 0.43/0.64 (define @t39 () (not @t15)) % 0.43/0.64 (define @t40 () (+ @t1 (* -1 @t14))) % 0.43/0.64 (define @t41 () (>= @t40 0)) % 0.43/0.64 (define @t42 () (>= @t1 0)) % 0.43/0.64 (define @t43 () (not @t42)) % 0.43/0.64 (define @t44 () (not @t17)) % 0.43/0.64 (define @t45 () (not @t41)) % 0.43/0.64 (define @t46 () (not @t45)) % 0.43/0.64 (define @t47 () (or @t44 @t43 @t46 @t39)) % 0.43/0.64 (define @t48 () (and @t17 @t42 @t45 @t15)) % 0.43/0.64 (define @t49 () (forall @t19 (not @t48))) % 0.43/0.64 (define @t50 () (not @t49)) % 0.43/0.64 (define @t51 () (>= @t1 @t14)) % 0.43/0.64 (define @t52 () (not (tptp.inRange 4 @t13))) % 0.43/0.64 (define @t53 () (+ -4 @t1)) % 0.43/0.64 (define @t54 () (>= @t1 4)) % 0.43/0.64 (define @t55 () (* -1 4)) % 0.43/0.64 (define @t56 () (+ @t1 @t55)) % 0.43/0.64 (define @t57 () (>= @t56 0)) % 0.43/0.64 (define @t58 () (not (= @t28 @t16))) % 0.43/0.64 (define @t59 () (or @t58 @t43 @t57 @t52)) % 0.43/0.64 (define @t60 () (forall @t19 @t59)) % 0.43/0.64 (define @t61 () (not @t60)) % 0.43/0.64 (define @t62 () (= tptp.nil @t28)) % 0.43/0.64 (define @t63 () (or @t62 @t61)) % 0.43/0.64 (define @t64 () (= @t29 @t63)) % 0.43/0.64 (define @t65 () (forall @t24 (= @t22 (or (= tptp.nil @t2) (not (forall @t19 (or @t44 @t43 @t41 @t39))))))) % 0.43/0.64 (define @t66 () (forall @t19 (or (not (= @t16 @t28)) @t43 @t54 @t52))) % 0.43/0.64 (define @t67 () (not @t66)) % 0.43/0.64 (define @t68 () (or @t62 @t67)) % 0.43/0.64 (define @t69 () (= @t29 @t68)) % 0.43/0.64 (define @t70 () (@list @t65)) % 0.43/0.64 (define @t71 () (@list false false)) % 0.43/0.64 (define @t72 () (@list true false)) % 0.43/0.64 (define @t73 () (@quantifiers_skolemize @t66 1)) % 0.43/0.64 (define @t74 () (tptp.inRange 4 @t73)) % 0.43/0.64 (define @t75 () (not @t74)) % 0.43/0.64 (define @t76 () (@quantifiers_skolemize @t66 0)) % 0.43/0.64 (define @t77 () (>= @t76 4)) % 0.43/0.64 (define @t78 () (not (>= @t76 0))) % 0.43/0.64 (define @t79 () (tptp.cons @t76 @t73)) % 0.43/0.64 (define @t80 () (= @t28 @t79)) % 0.43/0.64 (define @t81 () (not @t80)) % 0.43/0.64 (define @t82 () (or @t81 @t78 @t77 @t75)) % 0.43/0.64 (define @t83 () (not @t82)) % 0.43/0.64 (define @t84 () (not (= @t79 @t28))) % 0.43/0.64 (define @t85 () (or @t84 @t78 @t77 @t75)) % 0.43/0.64 (define @t86 () (not @t85)) % 0.43/0.64 (define @t87 () (@list true)) % 0.43/0.64 (define @t88 () (@list @t82)) % 0.43/0.64 (define @t89 () (not (= @t73 @t16))) % 0.43/0.64 (define @t90 () (or @t89 @t43 @t57 @t52)) % 0.43/0.64 (define @t91 () (forall @t19 @t90)) % 0.43/0.64 (define @t92 () (not @t91)) % 0.43/0.64 (define @t93 () (= tptp.nil @t73)) % 0.43/0.64 (define @t94 () (or @t93 @t92)) % 0.43/0.64 (define @t95 () (= @t74 @t94)) % 0.43/0.64 (define @t96 () (forall @t19 (or (not (= @t16 @t73)) @t43 @t54 @t52))) % 0.43/0.64 (define @t97 () (not @t96)) % 0.43/0.64 (define @t98 () (or @t93 @t97)) % 0.43/0.64 (define @t99 () (= @t74 @t98)) % 0.43/0.64 (define @t100 () (tptp.tail @t79)) % 0.43/0.64 (define @t101 () (@quantifiers_skolemize @t96 1)) % 0.43/0.64 (define @t102 () (not (tptp.inRange 4 @t101))) % 0.43/0.64 (define @t103 () (@quantifiers_skolemize @t96 0)) % 0.43/0.64 (define @t104 () (>= @t103 4)) % 0.43/0.64 (define @t105 () (not (>= @t103 0))) % 0.43/0.64 (define @t106 () (tptp.cons @t103 @t101)) % 0.43/0.64 (define @t107 () (= @t73 @t106)) % 0.43/0.64 (define @t108 () (not @t107)) % 0.43/0.64 (define @t109 () (or @t108 @t105 @t104 @t102)) % 0.43/0.64 (define @t110 () (not @t109)) % 0.43/0.64 (define @t111 () (not (= @t106 @t73))) % 0.43/0.64 (define @t112 () (or @t111 @t105 @t104 @t102)) % 0.43/0.64 (define @t113 () (not @t112)) % 0.43/0.64 (define @t114 () (@list @t109)) % 0.43/0.64 (define @t115 () (not @t104)) % 0.43/0.64 (define @t116 () (tptp.head @t106)) % 0.43/0.64 (define @t117 () (= @t103 @t116)) % 0.43/0.64 (define @t118 () (not @t117)) % 0.43/0.64 (define @t119 () (= @t73 @t100)) % 0.43/0.64 (define @t120 () (not @t119)) % 0.43/0.64 (define @t121 () (tptp.tail @t28)) % 0.43/0.64 (define @t122 () (= @t27 @t121)) % 0.43/0.64 (define @t123 () (not @t122)) % 0.43/0.64 (define @t124 () (not @t33)) % 0.43/0.64 (define @t125 () (= 5 @t103)) % 0.43/0.64 (define @t126 () (= @t103 5)) % 0.43/0.64 (define @t127 () (* -1 5)) % 0.43/0.64 (define @t128 () (+ @t127 3)) % 0.43/0.64 (define @t129 () (+ (* -1 @t103) @t103)) % 0.43/0.64 (define @t130 () (and @t125 @t115)) % 0.43/0.64 (assume @p1 @t7) % 0.43/0.64 (assume @p2 @t9) % 0.43/0.64 (assume @p3 (forall (@list @t2) (or @t10 (= @t2 (tptp.cons (tptp.head @t2) (tptp.tail @t2)))))) % 0.43/0.64 (assume @p4 @t12) % 0.43/0.64 (assume @p5 @t25) % 0.43/0.64 (assume @p6 (not @t30)) % 0.43/0.64 (assume @p7 true) % 0.43/0.64 (step @p8 :rule arith_poly_norm :args ((= (* 1 (- @t4 @t1)) (* -1 (- @t1 @t4))))) % 0.43/0.64 (step @p9 :rule arith_poly_norm_rel :premises (@p8) :args ((= @t5 @t31))) % 0.43/0.64 (step @p10 :rule cong :premises (@p9) :args (@t7)) % 0.43/0.64 (step @p11 :rule eq_resolve :premises (@p1 @p10)) % 0.43/0.64 (step @p12 :rule arith_poly_norm :args ((= (* -5 (- 5 @t32)) (* 5 (- @t32 5))))) % 0.43/0.64 (step @p13 :rule arith_poly_norm_rel :premises (@p12) :args ((= @t34 @t33))) % 0.43/0.64 (step @p14 :rule refl :args (@t35)) % 0.43/0.64 (step @p15 :rule cong :premises (@p14 @p13) :args ((=> @t35 @t34))) % 0.43/0.64 (assume-push @p279 @t35) % 0.43/0.64 (step @p17 :rule instantiate :premises (@p11) :args (@t36)) % 0.43/0.64 (step-pop @p280 :rule scope :premises (@p17)) % 0.43/0.64 (step @p18 :rule process_scope :premises (@p280) :args (@t34)) % 0.43/0.64 (step @p20 :rule eq_resolve :premises (@p18 @p15)) % 0.43/0.64 (step @p21 :rule implies_elim :premises (@p20)) % 0.43/0.64 (step @p22 :rule chain_m_resolution :premises (@p21 @p11) :args (@t33 @t37 (@list @t35))) % 0.43/0.64 (step @p23 :rule eq-symm :args (@t8 @t2)) % 0.43/0.64 (step @p24 :rule cong :premises (@p23) :args (@t9)) % 0.43/0.64 (step @p25 :rule eq_resolve :premises (@p2 @p24)) % 0.43/0.64 (step @p26 :rule instantiate :premises (@p25) :args (@t38)) % 0.43/0.64 (step @p27 :rule refl :args (@t39)) % 0.43/0.64 (step @p28 :rule bool-double-not-elim :args (@t41)) % 0.43/0.64 (step @p29 :rule refl :args (@t43)) % 0.43/0.64 (step @p30 :rule refl :args (@t44)) % 0.43/0.64 (step @p31 :rule nary_cong :premises (@p30 @p29 @p28 @p27) :args (@t47)) % 0.43/0.64 (step @p32 :rule aci_norm :args ((= (or @t44 (or @t43 (or @t46 @t39))) @t47))) % 0.43/0.64 (step @p33 :rule trans :premises (@p32 @p31)) % 0.43/0.64 (step @p34 :rule bool-and-de-morgan :args (@t45 @t15 true)) % 0.43/0.64 (step @p35 :rule nary_cong :premises (@p29 @p34) :args ((or @t43 (not (and @t45 @t15))))) % 0.43/0.64 (step @p36 :rule bool-and-de-morgan :args (@t42 @t45 (and @t15))) % 0.43/0.64 (step @p37 :rule trans :premises (@p36 @p35)) % 0.43/0.64 (step @p38 :rule nary_cong :premises (@p30 @p37) :args ((or @t44 (not (and @t42 @t45 @t15))))) % 0.43/0.64 (step @p39 :rule bool-and-de-morgan :args (@t17 @t42 (and @t45 @t15))) % 0.43/0.64 (step @p40 :rule trans :premises (@p39 @p38)) % 0.43/0.64 (step @p41 :rule trans :premises (@p40 @p33)) % 0.43/0.64 (step @p42 :rule cong :premises (@p41) :args (@t49)) % 0.43/0.64 (step @p43 :rule cong :premises (@p42) :args (@t50)) % 0.43/0.64 (step @p44 :rule exists-elim :args ((= (exists @t19 @t48) @t50))) % 0.43/0.64 (step @p45 :rule trans :premises (@p44 @p43)) % 0.43/0.64 (step @p46 :rule refl :args (@t15)) % 0.43/0.64 (step @p47 :rule arith_poly_norm :args ((= (* 1 (- @t1 @t14)) (* 1 (- @t40 0))))) % 0.43/0.64 (step @p48 :rule arith_poly_norm_rel :premises (@p47) :args ((= @t51 @t41))) % 0.43/0.64 (step @p49 :rule cong :premises (@p48) :args ((not @t51))) % 0.43/0.64 (step @p50 :rule arith-elim-lt :args (@t1 @t14)) % 0.43/0.64 (step @p51 :rule trans :premises (@p50 @p49)) % 0.43/0.64 (step @p52 :rule arith-elim-leq :args (0 @t1)) % 0.43/0.64 (step @p53 :rule refl :args (@t17)) % 0.43/0.64 (step @p54 :rule nary_cong :premises (@p53 @p52 @p51 @p46) :args (@t18)) % 0.43/0.64 (step @p55 :rule cong :premises (@p54) :args (@t20)) % 0.43/0.64 (step @p56 :rule trans :premises (@p55 @p45)) % 0.43/0.64 (step @p57 :rule eq-symm :args (@t2 tptp.nil)) % 0.43/0.64 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t21)) % 0.43/0.64 (step @p59 :rule refl :args (@t22)) % 0.43/0.64 (step @p60 :rule cong :premises (@p59 @p58) :args (@t23)) % 0.43/0.64 (step @p61 :rule cong :premises (@p60) :args (@t25)) % 0.43/0.64 (step @p62 :rule eq_resolve :premises (@p5 @p61)) % 0.43/0.64 (step @p63 :rule refl :args (@t52)) % 0.43/0.64 (step @p64 :rule arith_poly_norm :args ((= (* -4 (- @t53 0)) (* -4 (- @t1 4))))) % 0.43/0.64 (step @p65 :rule arith_poly_norm_rel :premises (@p64) :args ((= (>= @t53 0) @t54))) % 0.43/0.64 (step @p66 :rule refl :args (0)) % 0.43/0.64 (step @p67 :rule arith_poly_norm :args ((= (+ @t1 -4) @t53))) % 0.43/0.64 (step @p68 :rule evaluate :args (@t55)) % 0.43/0.64 (step @p69 :rule refl :args (@t1)) % 0.43/0.64 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t56)) % 0.43/0.64 (step @p71 :rule trans :premises (@p70 @p67)) % 0.43/0.64 (step @p72 :rule cong :premises (@p71 @p66) :args (@t57)) % 0.43/0.64 (step @p73 :rule trans :premises (@p72 @p65)) % 0.43/0.64 (step @p74 :rule refl :args (@t43)) % 0.43/0.64 (step @p75 :rule eq-symm :args (@t28 @t16)) % 0.43/0.64 (step @p76 :rule cong :premises (@p75) :args (@t58)) % 0.43/0.64 (step @p77 :rule nary_cong :premises (@p76 @p74 @p73 @p63) :args (@t59)) % 0.43/0.64 (step @p78 :rule cong :premises (@p77) :args (@t60)) % 0.43/0.64 (step @p79 :rule cong :premises (@p78) :args (@t61)) % 0.43/0.64 (step @p80 :rule refl :args (@t62)) % 0.43/0.64 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t63)) % 0.43/0.64 (step @p82 :rule refl :args (@t29)) % 0.43/0.64 (step @p83 :rule cong :premises (@p82 @p81) :args (@t64)) % 0.43/0.64 (step @p84 :rule refl :args (@t65)) % 0.43/0.64 (step @p85 :rule cong :premises (@p84 @p83) :args ((=> @t65 @t64))) % 0.43/0.64 (assume-push @p281 @t65) % 0.43/0.64 (step @p87 :rule instantiate :premises (@p62) :args ((@list 4 @t28))) % 0.43/0.64 (step-pop @p282 :rule scope :premises (@p87)) % 0.43/0.64 (step @p88 :rule process_scope :premises (@p282) :args (@t64)) % 0.43/0.64 (step @p90 :rule eq_resolve :premises (@p88 @p85)) % 0.43/0.64 (step @p91 :rule implies_elim :premises (@p90)) % 0.43/0.64 (step @p92 :rule chain_m_resolution :premises (@p91 @p62) :args (@t69 @t37 @t70)) % 0.43/0.64 (step @p93 :rule bool-double-not-elim :args (@t29)) % 0.43/0.64 (step @p94 :rule eq_resolve :premises (@p6 @p93)) % 0.43/0.64 (step @p95 :rule cnf_equiv_pos1 :args (@t69)) % 0.43/0.64 (step @p96 :rule reordering :premises (@p95) :args ((or @t30 @t68 (not @t69)))) % 0.43/0.64 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p92) :args (@t68 @t71 (@list @t29 @t69))) % 0.43/0.64 (step @p98 :rule eq-symm :args (@t3 tptp.nil)) % 0.43/0.64 (step @p99 :rule cong :premises (@p98) :args (@t11)) % 0.43/0.64 (step @p100 :rule cong :premises (@p99) :args (@t12)) % 0.43/0.64 (step @p101 :rule eq_resolve :premises (@p4 @p100)) % 0.43/0.64 (step @p102 :rule instantiate :premises (@p101) :args (@t38)) % 0.43/0.64 (step @p103 :rule cnf_or_pos :args (@t68)) % 0.43/0.64 (step @p104 :rule reordering :premises (@p103) :args ((or @t62 @t67 (not @t68)))) % 0.43/0.64 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p97) :args (@t67 @t72 (@list @t62 @t68))) % 0.43/0.64 (step @p106 :rule refl :args (@t83)) % 0.43/0.64 (step @p107 :rule bool-double-not-elim :args (@t66)) % 0.43/0.64 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or (not @t67) @t83))) % 0.43/0.64 (step @p109 :rule refl :args (@t75)) % 0.43/0.64 (step @p110 :rule refl :args (@t77)) % 0.43/0.64 (step @p111 :rule refl :args (@t78)) % 0.43/0.64 (step @p112 :rule eq-symm :args (@t79 @t28)) % 0.43/0.64 (step @p113 :rule cong :premises (@p112) :args (@t84)) % 0.43/0.64 (step @p114 :rule nary_cong :premises (@p113 @p111 @p110 @p109) :args (@t85)) % 0.43/0.64 (step @p115 :rule cong :premises (@p114) :args (@t86)) % 0.43/0.64 (step @p116 :rule refl :args (@t67)) % 0.43/0.64 (step @p117 :rule cong :premises (@p116 @p115) :args ((=> @t67 @t86))) % 0.43/0.64 (assume-push @p283 @t67) % 0.43/0.64 (step @p119 :rule skolemize :premises (@p105)) % 0.43/0.64 (step-pop @p284 :rule scope :premises (@p119)) % 0.43/0.64 (step @p120 :rule process_scope :premises (@p284) :args (@t86)) % 0.43/0.64 (step @p122 :rule eq_resolve :premises (@p120 @p117)) % 0.43/0.64 (step @p123 :rule implies_elim :premises (@p122)) % 0.43/0.64 (step @p124 :rule eq_resolve :premises (@p123 @p108)) % 0.43/0.64 (step @p125 :rule chain_m_resolution :premises (@p124 @p105) :args (@t83 @t87 (@list @t66))) % 0.43/0.64 (step @p126 :rule bool-double-not-elim :args (@t80)) % 0.43/0.64 (step @p127 :rule refl :args (@t82)) % 0.43/0.64 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t82 (not @t81)))) % 0.43/0.64 (step @p129 :rule cnf_or_neg :args (@t82 0)) % 0.43/0.64 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 0.43/0.64 (step @p131 :rule reordering 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:args ((@list 4 @t73))) % 0.43/0.64 (step-pop @p286 :rule scope :premises (@p145)) % 0.43/0.64 (step @p146 :rule process_scope :premises (@p286) :args (@t95)) % 0.43/0.64 (step @p148 :rule eq_resolve :premises (@p146 @p143)) % 0.43/0.64 (step @p149 :rule implies_elim :premises (@p148)) % 0.43/0.64 (step @p150 :rule chain_m_resolution :premises (@p149 @p62) :args (@t99 @t37 @t70)) % 0.43/0.64 (step @p151 :rule bool-double-not-elim :args (@t74)) % 0.43/0.64 (step @p152 :rule nary_cong :premises (@p127 @p151) :args ((or @t82 (not @t75)))) % 0.43/0.64 (step @p153 :rule cnf_or_neg :args (@t82 3)) % 0.43/0.64 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 0.43/0.64 (step @p155 :rule reordering :premises (@p154) :args ((or @t74 @t82))) % 0.43/0.64 (step @p156 :rule chain_m_resolution :premises (@p155 @p125) :args (@t74 @t87 @t88)) % 0.43/0.64 (step @p157 :rule cnf_equiv_pos1 :args (@t99)) % 0.43/0.64 (step @p158 :rule reordering :premises (@p157) :args ((or @t75 @t98 (not @t99)))) % 0.43/0.64 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p150) :args (@t98 @t71 (@list @t74 @t99))) % 0.43/0.64 (step @p160 :rule instantiate :premises (@p101) :args (@t36)) % 0.43/0.64 (step @p161 :rule false_intro :premises (@p160)) % 0.43/0.64 (step @p162 :rule symm :premises (@p26)) % 0.43/0.64 (step @p163 :rule symm :premises (@p132)) % 0.43/0.64 (step @p164 :rule cong :premises (@p163) :args (@t100)) % 0.43/0.64 (step @p165 :rule trans :premises (@p133 @p164 @p162)) % 0.43/0.64 (step @p166 :rule refl :args (tptp.nil)) % 0.43/0.64 (step @p167 :rule cong :premises (@p166 @p165) :args (@t93)) % 0.43/0.64 (step @p168 :rule trans :premises (@p167 @p161)) % 0.43/0.64 (step @p169 :rule false_elim :premises (@p168)) % 0.43/0.64 (step @p170 :rule cnf_or_pos :args (@t98)) % 0.43/0.64 (step @p171 :rule reordering :premises (@p170) :args ((or @t93 @t97 (not @t98)))) % 0.43/0.64 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p159) :args (@t97 @t72 (@list @t93 @t98))) % 0.43/0.64 (step @p173 :rule refl :args (@t110)) % 0.43/0.64 (step @p174 :rule bool-double-not-elim :args (@t96)) % 0.43/0.64 (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or (not @t97) @t110))) % 0.43/0.64 (step @p176 :rule refl :args (@t102)) % 0.43/0.64 (step @p177 :rule refl :args (@t104)) % 0.43/0.64 (step @p178 :rule refl :args (@t105)) % 0.43/0.64 (step @p179 :rule eq-symm :args (@t106 @t73)) % 0.43/0.64 (step @p180 :rule cong :premises (@p179) :args (@t111)) % 0.43/0.64 (step @p181 :rule nary_cong :premises (@p180 @p178 @p177 @p176) :args (@t112)) % 0.43/0.64 (step @p182 :rule cong :premises (@p181) :args (@t113)) % 0.43/0.64 (step @p183 :rule refl :args (@t97)) % 0.43/0.64 (step @p184 :rule cong :premises (@p183 @p182) :args ((=> @t97 @t113))) % 0.43/0.64 (assume-push @p287 @t97) % 0.43/0.64 (step @p186 :rule skolemize :premises (@p172)) % 0.43/0.64 (step-pop @p288 :rule scope :premises (@p186)) % 0.43/0.64 (step @p187 :rule process_scope :premises (@p288) :args (@t113)) % 0.43/0.64 (step @p189 :rule eq_resolve :premises (@p187 @p184)) % 0.43/0.64 (step @p190 :rule implies_elim :premises (@p189)) % 0.43/0.64 (step @p191 :rule eq_resolve :premises (@p190 @p175)) % 0.43/0.64 (step @p192 :rule chain_m_resolution :premises (@p191 @p172) :args (@t110 @t87 (@list @t96))) % 0.43/0.64 (step @p193 :rule bool-double-not-elim :args (@t107)) % 0.43/0.64 (step @p194 :rule refl :args (@t109)) % 0.43/0.64 (step @p195 :rule nary_cong :premises (@p194 @p193) :args ((or @t109 (not @t108)))) % 0.43/0.64 (step @p196 :rule cnf_or_neg :args (@t109 0)) % 0.43/0.64 (step @p197 :rule eq_resolve :premises (@p196 @p195)) % 0.43/0.64 (step @p198 :rule reordering :premises (@p197) :args ((or @t107 @t109))) % 0.43/0.64 (step @p199 :rule chain_m_resolution :premises (@p198 @p192) :args (@t107 @t87 @t114)) % 0.43/0.64 (step @p200 :rule cnf_or_neg :args (@t109 2)) % 0.43/0.64 (step @p201 :rule chain_m_resolution :premises (@p200 @p192) :args (@t115 @t87 @t114)) % 0.43/0.64 (step @p202 :rule instantiate :premises (@p11) :args ((@list @t103 @t101))) % 0.43/0.64 (step @p203 :rule refl :args (@t118)) % 0.43/0.64 (step @p204 :rule bool-double-not-elim :args (@t104)) % 0.43/0.64 (step @p205 :rule refl :args (@t108)) % 0.43/0.64 (step @p206 :rule refl :args (@t120)) % 0.43/0.64 (step @p207 :rule refl :args (@t81)) % 0.43/0.64 (step @p208 :rule refl :args (@t123)) % 0.43/0.64 (step @p209 :rule refl :args (@t124)) % 0.43/0.64 (step @p210 :rule nary_cong :premises (@p209 @p208 @p207 @p206 @p205 @p204 @p203) :args ((or @t124 @t123 @t81 @t120 @t108 (not @t115) @t118))) % 0.43/0.64 (assume-push @p289 @t125) % 0.43/0.64 (assume-push @p290 @t115) % 0.43/0.64 (assume-push @p291 @t126) % 0.43/0.64 (step @p214 :rule evaluate :args ((<= 0 -2))) % 0.43/0.64 (step @p215 :rule evaluate :args ((+ -5 3))) % 0.43/0.64 (step @p216 :rule refl :args (3)) % 0.43/0.64 (step @p217 :rule evaluate :args (@t127)) % 0.43/0.64 (step @p218 :rule nary_cong :premises (@p217 @p216) :args (@t128)) % 0.43/0.64 (step @p219 :rule trans :premises (@p218 @p215)) % 0.43/0.64 (step @p220 :rule arith_poly_norm :args ((= @t129 0))) % 0.43/0.64 (step @p221 :rule cong :premises (@p220 @p219) :args ((<= @t129 @t128))) % 0.43/0.64 (step @p222 :rule trans :premises (@p221 @p214)) % 0.43/0.64 (step @p223 :rule arith-elim-lt :args (@t103 4)) % 0.43/0.64 (step @p224 :rule symm :premises (@p223)) % 0.43/0.64 (step @p225 :rule eq_resolve :premises (@p201 @p224)) % 0.43/0.64 (step @p226 :rule int_tight_ub :premises (@p225)) % 0.43/0.64 (step @p227 :rule arith_mult_neg :args (-1 @t126)) % 0.43/0.64 (step @p228 :rule evaluate :args ((< -1 0))) % 0.43/0.64 (step @p229 :rule true_elim :premises (@p228)) % 0.43/0.64 (step @p230 :rule and_intro :premises (@p229 @p291)) % 0.43/0.64 (step @p231 :rule modus_ponens :premises (@p230 @p227)) % 0.43/0.64 (step @p232 :rule arith_sum_ub :premises (@p231 @p226)) % 0.43/0.64 (step @p233 false :rule eq_resolve :premises (@p232 @p222)) % 0.43/0.64 (step-pop @p292 :rule scope :premises (@p233)) % 0.43/0.64 (step @p234 :rule process_scope :premises (@p292) :args (false)) % 0.43/0.64 (step @p236 :rule symm :premises (@p289)) % 0.43/0.64 (step @p237 false :rule contra :premises (@p236 @p234)) % 0.43/0.64 (step-pop @p293 :rule scope :premises (@p237)) % 0.43/0.64 (step-pop @p294 :rule scope :premises (@p293)) % 0.43/0.64 (step @p238 :rule process_scope :premises (@p294) :args (false)) % 0.43/0.64 (assume-push @p295 @t33) % 0.43/0.64 (assume-push @p296 @t122) % 0.43/0.64 (assume-push @p297 @t80) % 0.43/0.64 (assume-push @p298 @t119) % 0.43/0.64 (assume-push @p299 @t107) % 0.43/0.64 (assume-push @p300 @t115) % 0.43/0.64 (assume-push @p301 @t117) % 0.43/0.64 (assume-push @p302 @t117) % 0.43/0.64 (assume-push @p303 (= 5 @t116)) % 0.43/0.64 (step @p250 :rule symm :premises (@p202)) % 0.43/0.64 (step @p251 :rule symm :premises (@p133)) % 0.43/0.64 (step @p252 :rule cong :premises (@p132) :args (@t121)) % 0.43/0.64 (step @p253 :rule trans :premises (@p26 @p252 @p251 @p199)) % 0.43/0.64 (step @p254 :rule cong :premises (@p253) :args (@t32)) % 0.43/0.64 (step @p255 :rule instantiate :premises (@p11) :args (@t36)) % 0.43/0.64 (step @p256 :rule trans :premises (@p255 @p254)) % 0.43/0.64 (step @p257 :rule trans :premises (@p256 @p250)) % 0.43/0.64 (step-pop @p304 :rule scope :premises (@p257)) % 0.43/0.64 (step-pop @p305 :rule scope :premises (@p304)) % 0.43/0.64 (step @p258 :rule process_scope :premises (@p305) :args (@t125)) % 0.43/0.64 (step @p251 :rule symm :premises (@p133)) % 0.43/0.64 (step @p252 :rule cong :premises (@p132) :args (@t121)) % 0.43/0.64 (step @p253 :rule trans :premises (@p26 @p252 @p251 @p199)) % 0.43/0.64 (step @p254 :rule cong :premises (@p253) :args (@t32)) % 0.43/0.64 (step @p17 :rule instantiate :premises (@p11) :args (@t36)) % 0.43/0.64 (step @p261 :rule trans :premises (@p17 @p254)) % 0.43/0.64 (step @p262 :rule and_intro :premises (@p202 @p261)) % 0.43/0.64 (step @p263 :rule modus_ponens :premises (@p262 @p258)) % 0.43/0.64 (step @p264 :rule and_intro :premises (@p263 @p201)) % 0.43/0.64 (step-pop @p306 :rule scope :premises (@p264)) % 0.43/0.64 (step-pop @p307 :rule scope :premises (@p306)) % 0.43/0.64 (step-pop @p308 :rule scope :premises (@p307)) % 0.43/0.64 (step-pop @p309 :rule scope :premises (@p308)) % 0.43/0.64 (step-pop @p310 :rule scope :premises (@p309)) % 0.43/0.64 (step-pop @p311 :rule scope :premises (@p310)) % 0.43/0.64 (step-pop @p312 :rule scope :premises (@p311)) % 0.43/0.64 (step @p265 :rule process_scope :premises (@p312) :args (@t130)) % 0.43/0.64 (step @p273 :rule implies_elim :premises (@p265)) % 0.43/0.64 (step @p274 :rule resolution :premises (@p273 @p238) :args (true @t130)) % 0.43/0.64 (step @p275 :rule not_and :premises (@p274)) % 0.43/0.64 (step @p276 :rule eq_resolve :premises (@p275 @p210)) % 0.43/0.64 (step @p277 :rule reordering :premises (@p276) :args ((or @t124 @t123 @t81 @t120 @t104 @t108 @t118))) % 0.43/0.64 (step @p278 false :rule chain_m_resolution :premises (@p277 @p202 @p201 @p199 @p133 @p132 @p26 @p22) :args (false (@list false true false false false false false) (@list @t117 @t104 @t107 @t119 @t80 @t122 @t33))) % 0.43/0.64 ) % 0.43/0.64 % SZS output end Proof % 0.43/0.64 % cvc5 exiting %------------------------------------------------------------------------------