%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT021_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:14:21 AM UTC 2026 % Result : Theorem 45.59s 45.83s % Output : Proof 45.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT021_1 : TPTP v9.2.1. Released v5.0.0. % 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 : n029.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 22:26:02 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_ARI % 45.59/45.83 --- Run --finite-model-find --decision=internal at 45... % 45.59/45.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.59/45.83 % SZS status Theorem % 45.59/45.83 % SZS output start Proof % 45.59/45.83 ( % 45.59/45.83 (declare-sort tptp.collection 0) % 45.59/45.83 (declare-const tptp.remove (-> Int tptp.collection tptp.collection)) % 45.59/45.83 (declare-const tptp.add (-> Int tptp.collection tptp.collection)) % 45.59/45.83 (declare-const tptp.in (-> Int tptp.collection Bool)) % 45.59/45.83 (declare-const tptp.empty tptp.collection) % 45.59/45.83 (define @t1 () (@var "U" Int)) % 45.59/45.83 (define @t2 () (forall (@list @t1) (not (tptp.in @t1 tptp.empty)))) % 45.59/45.83 (define @t3 () (@var "W" tptp.collection)) % 45.59/45.83 (define @t4 () (@var "V" Int)) % 45.59/45.83 (define @t5 () (@var "Y" tptp.collection)) % 45.59/45.83 (define @t6 () (@var "X" Int)) % 45.59/45.83 (define @t7 () (@var "X1" tptp.collection)) % 45.59/45.83 (define @t8 () (@var "X2" Int)) % 45.59/45.83 (define @t9 () (@var "Z" Int)) % 45.59/45.83 (define @t10 () (forall (@list @t9 @t7 @t8) (= (or (tptp.in @t9 @t7) (= @t9 @t8)) (tptp.in @t9 (tptp.add @t8 @t7))))) % 45.59/45.83 (define @t11 () (@var "X4" tptp.collection)) % 45.59/45.83 (define @t12 () (@var "X5" Int)) % 45.59/45.83 (define @t13 () (@var "X3" Int)) % 45.59/45.83 (define @t14 () (@var "W" Int)) % 45.59/45.83 (define @t15 () (+ @t4 @t14)) % 45.59/45.83 (define @t16 () (= @t4 @t14)) % 45.59/45.83 (define @t17 () (not @t16)) % 45.59/45.83 (define @t18 () (@var "U" tptp.collection)) % 45.59/45.83 (define @t19 () (tptp.in @t14 @t18)) % 45.59/45.83 (define @t20 () (tptp.in @t4 @t18)) % 45.59/45.83 (define @t21 () (tptp.add 1 tptp.empty)) % 45.59/45.83 (define @t22 () (tptp.add 3 @t21)) % 45.59/45.83 (define @t23 () (tptp.add 5 @t22)) % 45.59/45.83 (define @t24 () (= @t18 @t23)) % 45.59/45.83 (define @t25 () (and @t24 @t20 @t19 @t17)) % 45.59/45.83 (define @t26 () (=> @t25 (< @t15 9))) % 45.59/45.83 (define @t27 () (@list @t18 @t4 @t14)) % 45.59/45.83 (define @t28 () (forall @t27 @t26)) % 45.59/45.83 (define @t29 () (not @t28)) % 45.59/45.83 (define @t30 () (not (>= @t15 9))) % 45.59/45.83 (define @t31 () (not (tptp.in @t14 @t23))) % 45.59/45.83 (define @t32 () (not (tptp.in @t4 @t23))) % 45.59/45.83 (define @t33 () (or @t32 @t31 @t16 @t30)) % 45.59/45.83 (define @t34 () (not (= @t23 @t23))) % 45.59/45.83 (define @t35 () (or @t34 @t32 @t31 @t16 @t30)) % 45.59/45.83 (define @t36 () (@list @t4 @t14)) % 45.59/45.83 (define @t37 () (not @t19)) % 45.59/45.83 (define @t38 () (not @t20)) % 45.59/45.83 (define @t39 () (not @t24)) % 45.59/45.83 (define @t40 () (or @t39 @t39 @t38 @t37 @t16 @t30)) % 45.59/45.83 (define @t41 () (@list @t18)) % 45.59/45.83 (define @t42 () (or @t39 @t38 @t37 @t16 @t30)) % 45.59/45.83 (define @t43 () (forall @t41 @t42)) % 45.59/45.83 (define @t44 () (forall @t36 @t43)) % 45.59/45.83 (define @t45 () (forall (@list @t4 @t14 @t18) @t42)) % 45.59/45.83 (define @t46 () (not @t17)) % 45.59/45.83 (define @t47 () (or @t39 @t38 @t37 @t46)) % 45.59/45.83 (define @t48 () (forall @t36 @t33)) % 45.59/45.83 (define @t49 () (@quantifiers_skolemize @t48 1)) % 45.59/45.83 (define @t50 () (@quantifiers_skolemize @t48 0)) % 45.59/45.83 (define @t51 () (+ @t50 @t49)) % 45.59/45.83 (define @t52 () (>= @t51 9)) % 45.59/45.83 (define @t53 () (not @t52)) % 45.59/45.83 (define @t54 () (= @t50 @t49)) % 45.59/45.83 (define @t55 () (tptp.in @t49 @t23)) % 45.59/45.83 (define @t56 () (not @t55)) % 45.59/45.83 (define @t57 () (tptp.in @t50 @t23)) % 45.59/45.83 (define @t58 () (not @t57)) % 45.59/45.83 (define @t59 () (or @t58 @t56 @t54 @t53)) % 45.59/45.83 (define @t60 () (not @t54)) % 45.59/45.83 (define @t61 () (@list true)) % 45.59/45.83 (define @t62 () (@list @t59)) % 45.59/45.83 (define @t63 () (= @t49 5)) % 45.59/45.83 (define @t64 () (not @t63)) % 45.59/45.83 (define @t65 () (= @t50 5)) % 45.59/45.83 (define @t66 () (not @t65)) % 45.59/45.83 (define @t67 () (and @t65 @t63 @t60)) % 45.59/45.83 (define @t68 () (tptp.in @t50 @t22)) % 45.59/45.83 (define @t69 () (or @t68 @t65)) % 45.59/45.83 (define @t70 () (= @t69 @t57)) % 45.59/45.83 (define @t71 () (= @t57 @t69)) % 45.59/45.83 (define @t72 () (@list false)) % 45.59/45.83 (define @t73 () (@list @t10)) % 45.59/45.83 (define @t74 () (@list false false)) % 45.59/45.83 (define @t75 () (= @t50 3)) % 45.59/45.83 (define @t76 () (tptp.in @t50 @t21)) % 45.59/45.83 (define @t77 () (or @t76 @t75)) % 45.59/45.83 (define @t78 () (= @t77 @t68)) % 45.59/45.83 (define @t79 () (= @t68 @t77)) % 45.59/45.83 (define @t80 () (>= @t49 6)) % 45.59/45.83 (define @t81 () (<= 0 -1)) % 45.59/45.83 (define @t82 () (+ -6 5)) % 45.59/45.83 (define @t83 () (* -1 6)) % 45.59/45.83 (define @t84 () (+ @t83 5)) % 45.59/45.83 (define @t85 () (* -1 @t49)) % 45.59/45.83 (define @t86 () (+ @t85 @t49)) % 45.59/45.83 (define @t87 () (< -1 0)) % 45.59/45.83 (define @t88 () (not @t80)) % 45.59/45.83 (define @t89 () (not @t75)) % 45.59/45.83 (define @t90 () (not @t88)) % 45.59/45.83 (define @t91 () (>= 0 0)) % 45.59/45.83 (define @t92 () (* -1 9)) % 45.59/45.83 (define @t93 () (+ @t92 6 3)) % 45.59/45.83 (define @t94 () (* -1 @t50)) % 45.59/45.83 (define @t95 () (+ @t94 @t85)) % 45.59/45.83 (define @t96 () (= (+ @t95 @t49 @t50) 0)) % 45.59/45.83 (define @t97 () (* -1 @t51)) % 45.59/45.83 (define @t98 () (= @t97 @t95)) % 45.59/45.83 (define @t99 () (+ @t97 @t49 @t50)) % 45.59/45.83 (define @t100 () (>= @t99 @t93)) % 45.59/45.83 (define @t101 () (and @t75 @t88 @t52)) % 45.59/45.83 (define @t102 () (= @t50 1)) % 45.59/45.83 (define @t103 () (tptp.in @t50 tptp.empty)) % 45.59/45.83 (define @t104 () (or @t103 @t102)) % 45.59/45.83 (define @t105 () (= @t104 @t76)) % 45.59/45.83 (define @t106 () (= @t76 @t104)) % 45.59/45.83 (define @t107 () (not @t102)) % 45.59/45.83 (define @t108 () (>= 0 -2)) % 45.59/45.83 (define @t109 () (+ @t92 6 1)) % 45.59/45.83 (define @t110 () (>= @t99 @t109)) % 45.59/45.83 (define @t111 () (and @t102 @t88 @t52)) % 45.59/45.83 (define @t112 () (tptp.in @t49 @t22)) % 45.59/45.83 (define @t113 () (or @t112 @t63)) % 45.59/45.83 (define @t114 () (= @t113 @t55)) % 45.59/45.83 (define @t115 () (= @t55 @t113)) % 45.59/45.83 (define @t116 () (= @t49 3)) % 45.59/45.83 (define @t117 () (tptp.in @t49 @t21)) % 45.59/45.83 (define @t118 () (or @t117 @t116)) % 45.59/45.83 (define @t119 () (= @t118 @t112)) % 45.59/45.83 (define @t120 () (= @t112 @t118)) % 45.59/45.83 (define @t121 () (+ 3 @t83)) % 45.59/45.83 (define @t122 () (+ @t49 @t85)) % 45.59/45.83 (define @t123 () (= @t122 0)) % 45.59/45.83 (define @t124 () (not @t116)) % 45.59/45.83 (define @t125 () (= @t49 1)) % 45.59/45.83 (define @t126 () (+ 1 @t83)) % 45.59/45.83 (define @t127 () (not @t125)) % 45.59/45.83 (define @t128 () (not @t118)) % 45.59/45.83 (define @t129 () (tptp.in @t49 tptp.empty)) % 45.59/45.83 (define @t130 () (or @t129 @t125)) % 45.59/45.83 (define @t131 () (= @t130 @t117)) % 45.59/45.83 (define @t132 () (= @t117 @t130)) % 45.59/45.83 (define @t133 () (>= @t50 6)) % 45.59/45.83 (define @t134 () (+ @t94 @t50)) % 45.59/45.83 (define @t135 () (not @t133)) % 45.59/45.83 (define @t136 () (not @t135)) % 45.59/45.83 (define @t137 () (+ 3 6 @t92)) % 45.59/45.83 (define @t138 () (= (+ @t49 @t50 @t95) 0)) % 45.59/45.83 (define @t139 () (+ @t49 @t50 @t97)) % 45.59/45.83 (define @t140 () (>= @t139 @t137)) % 45.59/45.83 (define @t141 () (and @t52 @t135 @t116)) % 45.59/45.83 (define @t142 () (+ 1 6 @t92)) % 45.59/45.83 (define @t143 () (>= @t139 @t142)) % 45.59/45.83 (define @t144 () (and @t52 @t135 @t125)) % 45.59/45.83 (assume @p1 @t2) % 45.59/45.83 (assume @p2 (forall (@list @t4 @t3) (tptp.in @t4 (tptp.add @t4 @t3)))) % 45.59/45.83 (assume @p3 (forall (@list @t6 @t5) (not (tptp.in @t6 (tptp.remove @t6 @t5))))) % 45.59/45.83 (assume @p4 @t10) % 45.59/45.83 (assume @p5 (forall (@list @t13 @t11 @t12) (= (and (tptp.in @t13 @t11) (not (= @t13 @t12))) (tptp.in @t13 (tptp.remove @t12 @t11))))) % 45.59/45.83 (assume @p6 @t29) % 45.59/45.83 (assume @p7 true) % 45.59/45.83 (step @p8 :rule aci_norm :args ((= (or false @t32 @t31 @t16 @t30) @t33))) % 45.59/45.83 (step @p9 :rule refl :args (@t30)) % 45.59/45.83 (step @p10 :rule refl :args (@t16)) % 45.59/45.83 (step @p11 :rule refl :args (@t31)) % 45.59/45.83 (step @p12 :rule refl :args (@t32)) % 45.59/45.83 (step @p13 :rule evaluate :args ((not true))) % 45.59/45.83 (step @p14 :rule eq-refl :args (@t23)) % 45.59/45.83 (step @p15 :rule cong :premises (@p14) :args (@t34)) % 45.59/45.83 (step @p16 :rule trans :premises (@p15 @p13)) % 45.59/45.83 (step @p17 :rule nary_cong :premises (@p16 @p12 @p11 @p10 @p9) :args (@t35)) % 45.59/45.83 (step @p18 :rule trans :premises (@p17 @p8)) % 45.59/45.83 (step @p19 :rule cong :premises (@p18) :args ((forall @t36 @t35))) % 45.59/45.83 (step @p20 :rule quant-var-elim-eq :args ((= (forall @t41 @t40) @t35))) % 45.59/45.83 (step @p21 :rule aci_norm :args ((= @t42 @t40))) % 45.59/45.83 (step @p22 :rule cong :premises (@p21) :args (@t43)) % 45.59/45.83 (step @p23 :rule trans :premises (@p22 @p20)) % 45.59/45.83 (step @p24 :rule cong :premises (@p23) :args (@t44)) % 45.59/45.83 (step @p25 :rule quant-merge-prenex :args ((= @t44 @t45))) % 45.59/45.83 (step @p26 :rule symm :premises (@p25)) % 45.59/45.83 (step @p27 :rule quant_var_reordering :args ((= (forall @t27 @t42) @t45))) % 45.59/45.83 (step @p28 :rule trans :premises (@p27 @p26 @p24)) % 45.59/45.83 (step @p29 :rule trans :premises (@p28 @p19)) % 45.59/45.83 (step @p30 :rule aci_norm :args ((= (or (or @t39 @t38 @t37 @t16) @t30) @t42))) % 45.59/45.83 (step @p31 :rule refl :args (@t30)) % 45.59/45.83 (step @p32 :rule bool-double-not-elim :args (@t16)) % 45.59/45.83 (step @p33 :rule refl :args (@t37)) % 45.59/45.83 (step @p34 :rule refl :args (@t38)) % 45.59/45.83 (step @p35 :rule refl :args (@t39)) % 45.59/45.83 (step @p36 :rule nary_cong :premises (@p35 @p34 @p33 @p32) :args (@t47)) % 45.59/45.83 (step @p37 :rule aci_norm :args ((= (or @t39 (or @t38 (or @t37 @t46))) @t47))) % 45.59/45.83 (step @p38 :rule trans :premises (@p37 @p36)) % 45.59/45.83 (step @p39 :rule bool-and-de-morgan :args (@t19 @t17 true)) % 45.59/45.83 (step @p40 :rule nary_cong :premises (@p34 @p39) :args ((or @t38 (not (and @t19 @t17))))) % 45.59/45.83 (step @p41 :rule bool-and-de-morgan :args (@t20 @t19 (and @t17))) % 45.59/45.83 (step @p42 :rule trans :premises (@p41 @p40)) % 45.59/45.83 (step @p43 :rule nary_cong :premises (@p35 @p42) :args ((or @t39 (not (and @t20 @t19 @t17))))) % 45.59/45.83 (step @p44 :rule bool-and-de-morgan :args (@t24 @t20 (and @t19 @t17))) % 45.59/45.83 (step @p45 :rule trans :premises (@p44 @p43)) % 45.59/45.83 (step @p46 :rule trans :premises (@p45 @p38)) % 45.59/45.83 (step @p47 :rule nary_cong :premises (@p46 @p31) :args ((or (not @t25) @t30))) % 45.59/45.83 (step @p48 :rule trans :premises (@p47 @p30)) % 45.59/45.83 (step @p49 :rule bool-impl-elim :args (@t25 @t30)) % 45.59/45.83 (step @p50 :rule trans :premises (@p49 @p48)) % 45.59/45.83 (step @p51 :rule cong :premises (@p50) :args ((forall @t27 (=> @t25 @t30)))) % 45.59/45.83 (step @p52 :rule trans :premises (@p51 @p29)) % 45.59/45.83 (step @p53 :rule arith-elim-lt :args (@t15 9)) % 45.59/45.83 (step @p54 :rule refl :args (@t25)) % 45.59/45.83 (step @p55 :rule cong :premises (@p54 @p53) :args (@t26)) % 45.59/45.83 (step @p56 :rule cong :premises (@p55) :args (@t28)) % 45.59/45.83 (step @p57 :rule trans :premises (@p56 @p52)) % 45.59/45.83 (step @p58 :rule cong :premises (@p57) :args (@t29)) % 45.59/45.83 (step @p59 :rule eq_resolve :premises (@p6 @p58)) % 45.59/45.83 (step @p60 :rule skolemize :premises (@p59)) % 45.59/45.83 (step @p61 :rule cnf_or_neg :args (@t59 2)) % 45.59/45.83 (step @p62 :rule chain_m_resolution :premises (@p61 @p60) :args (@t60 @t61 @t62)) % 45.59/45.83 (step @p63 :rule refl :args (@t64)) % 45.59/45.83 (step @p64 :rule refl :args (@t66)) % 45.59/45.83 (step @p65 :rule bool-double-not-elim :args (@t54)) % 45.59/45.83 (step @p66 :rule nary_cong :premises (@p65 @p64 @p63) :args ((or (not @t60) @t66 @t64))) % 45.59/45.83 (assume-push @p476 @t65) % 45.59/45.83 (assume-push @p477 @t63) % 45.59/45.83 (assume-push @p478 @t60) % 45.59/45.83 (step @p70 :rule evaluate :args ((= false true))) % 45.59/45.83 (step @p71 :rule symm :premises (@p477)) % 45.59/45.83 (step @p72 :rule trans :premises (@p476 @p71)) % 45.59/45.83 (step @p73 :rule true_intro :premises (@p72)) % 45.59/45.83 (step @p74 :rule false_intro :premises (@p62)) % 45.59/45.83 (step @p75 :rule symm :premises (@p74)) % 45.59/45.83 (step @p76 :rule trans :premises (@p75 @p73)) % 45.59/45.83 (step @p77 false :rule eq_resolve :premises (@p76 @p70)) % 45.59/45.83 (step-pop @p479 :rule scope :premises (@p77)) % 45.59/45.83 (step-pop @p480 :rule scope :premises (@p479)) % 45.59/45.83 (step-pop @p481 :rule scope :premises (@p480)) % 45.59/45.83 (step @p78 :rule process_scope :premises (@p481) :args (false)) % 45.59/45.83 (assume-push @p482 @t60) % 45.59/45.83 (assume-push @p483 @t65) % 45.59/45.83 (assume-push @p484 @t63) % 45.59/45.83 (step @p85 :rule and_intro :premises (@p483 @p484 @p62)) % 45.59/45.83 (step-pop @p485 :rule scope :premises (@p85)) % 45.59/45.83 (step-pop @p486 :rule scope :premises (@p485)) % 45.59/45.83 (step-pop @p487 :rule scope :premises (@p486)) % 45.59/45.83 (step @p86 :rule process_scope :premises (@p487) :args (@t67)) % 45.59/45.83 (step @p90 :rule implies_elim :premises (@p86)) % 45.59/45.83 (step @p91 :rule resolution :premises (@p90 @p78) :args (true @t67)) % 45.59/45.83 (step @p92 :rule not_and :premises (@p91)) % 45.59/45.83 (step @p93 :rule eq_resolve :premises (@p92 @p66)) % 45.59/45.83 (step @p94 :rule eq-symm :args (@t69 @t57)) % 45.59/45.83 (step @p95 :rule refl :args (@t10)) % 45.59/45.83 (step @p96 :rule cong :premises (@p95 @p94) :args ((=> @t10 @t70))) % 45.59/45.83 (assume-push @p488 @t10) % 45.59/45.83 (step @p98 :rule instantiate :premises (@p4) :args ((@list @t50 @t22 5))) % 45.59/45.83 (step-pop @p489 :rule scope :premises (@p98)) % 45.59/45.83 (step @p99 :rule process_scope :premises (@p489) :args (@t70)) % 45.59/45.83 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 45.59/45.83 (step @p102 :rule implies_elim :premises (@p101)) % 45.59/45.83 (step @p103 :rule chain_m_resolution :premises (@p102 @p4) :args (@t71 @t72 @t73)) % 45.59/45.83 (step @p104 :rule bool-double-not-elim :args (@t57)) % 45.59/45.83 (step @p105 :rule refl :args (@t59)) % 45.59/45.83 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t59 (not @t58)))) % 45.59/45.83 (step @p107 :rule cnf_or_neg :args (@t59 0)) % 45.59/45.83 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 45.59/45.83 (step @p109 :rule reordering :premises (@p108) :args ((or @t57 @t59))) % 45.59/45.83 (step @p110 :rule chain_m_resolution :premises (@p109 @p60) :args (@t57 @t61 @t62)) % 45.59/45.83 (step @p111 :rule cnf_equiv_pos1 :args (@t71)) % 45.59/45.83 (step @p112 :rule reordering :premises (@p111) :args ((or @t58 @t69 (not @t71)))) % 45.59/45.83 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p103) :args (@t69 @t74 (@list @t57 @t71))) % 45.59/45.83 (step @p114 :rule cnf_or_pos :args (@t69)) % 45.59/45.83 (step @p115 :rule reordering :premises (@p114) :args ((or @t68 @t65 (not @t69)))) % 45.59/45.83 (step @p116 :rule eq-symm :args (@t77 @t68)) % 45.59/45.83 (step @p117 :rule cong :premises (@p95 @p116) :args ((=> @t10 @t78))) % 45.59/45.83 (assume-push @p490 @t10) % 45.59/45.83 (step @p119 :rule instantiate :premises (@p4) :args ((@list @t50 @t21 3))) % 45.59/45.83 (step-pop @p491 :rule scope :premises (@p119)) % 45.59/45.83 (step @p120 :rule process_scope :premises (@p491) :args (@t78)) % 45.59/45.83 (step @p122 :rule eq_resolve :premises (@p120 @p117)) % 45.59/45.83 (step @p123 :rule implies_elim :premises (@p122)) % 45.59/45.83 (step @p124 :rule chain_m_resolution :premises (@p123 @p4) :args (@t79 @t72 @t73)) % 45.59/45.83 (step @p125 :rule cnf_equiv_pos1 :args (@t79)) % 45.59/45.83 (step @p126 :rule reordering :premises (@p125) :args ((or (not @t68) @t77 (not @t79)))) % 45.59/45.83 (assume-push @p492 @t63) % 45.59/45.83 (assume-push @p493 @t63) % 45.59/45.83 (step @p129 :rule arith-elim-lt :args (@t49 6)) % 45.59/45.83 (step @p130 :rule symm :premises (@p129)) % 45.59/45.83 (assume-push @p494 @t80) % 45.59/45.83 (step @p132 :rule evaluate :args (@t81)) % 45.59/45.83 (step 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@t49))) % 45.59/45.83 (step @p354 :rule cnf_or_pos :args (@t130)) % 45.59/45.83 (step @p355 :rule reordering :premises (@p354) :args ((or @t129 @t125 (not @t130)))) % 45.59/45.83 (step @p356 :rule eq-symm :args (@t130 @t117)) % 45.59/45.83 (step @p357 :rule cong :premises (@p95 @p356) :args ((=> @t10 @t131))) % 45.59/45.83 (assume-push @p544 @t10) % 45.59/45.83 (step @p359 :rule instantiate :premises (@p4) :args ((@list @t49 tptp.empty 1))) % 45.59/45.83 (step-pop @p545 :rule scope :premises (@p359)) % 45.59/45.83 (step @p360 :rule process_scope :premises (@p545) :args (@t131)) % 45.59/45.83 (step @p362 :rule eq_resolve :premises (@p360 @p357)) % 45.59/45.83 (step @p363 :rule implies_elim :premises (@p362)) % 45.59/45.83 (step @p364 :rule chain_m_resolution :premises (@p363 @p4) :args (@t132 @t72 @t73)) % 45.59/45.83 (step @p365 :rule cnf_equiv_pos1 :args (@t132)) % 45.59/45.83 (step @p366 :rule reordering :premises (@p365) :args ((or (not @t117) @t130 (not @t132)))) % 45.59/45.83 (step @p367 :rule chain_m_resolution :premises (@p366 @p364 @p355 @p353 @p352 @p350 @p329) :args ((or @t88 @t128) (@list false true true false true true) (@list @t132 @t130 @t129 @t117 @t125 @t116))) % 45.59/45.83 (assume-push @p546 @t65) % 45.59/45.83 (assume-push @p547 @t65) % 45.59/45.83 (step @p370 :rule arith-elim-lt :args (@t50 6)) % 45.59/45.83 (step @p371 :rule symm :premises (@p370)) % 45.59/45.83 (assume-push @p548 @t133) % 45.59/45.83 (step @p132 :rule evaluate :args (@t81)) % 45.59/45.83 (step @p133 :rule evaluate :args (@t82)) % 45.59/45.83 (step @p134 :rule refl :args (5)) % 45.59/45.83 (step @p135 :rule evaluate :args (@t83)) % 45.59/45.83 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t84)) % 45.59/45.83 (step @p137 :rule trans :premises (@p136 @p133)) % 45.59/45.83 (step @p373 :rule arith_poly_norm :args ((= @t134 0))) % 45.59/45.83 (step @p374 :rule cong :premises (@p373 @p137) :args ((<= @t134 @t84))) % 45.59/45.83 (step @p375 :rule trans :premises (@p374 @p132)) % 45.59/45.83 (step @p376 :rule arith_mult_neg :args (-1 @t133)) % 45.59/45.83 (step @p142 :rule evaluate :args (@t87)) % 45.59/45.83 (step @p143 :rule true_elim :premises (@p142)) % 45.59/45.83 (step @p377 :rule and_intro :premises (@p143 @p548)) % 45.59/45.83 (step @p378 :rule modus_ponens :premises (@p377 @p376)) % 45.59/45.83 (step @p379 :rule arith_sum_ub :premises (@p378 @p546)) % 45.59/45.83 (step @p380 false :rule eq_resolve :premises (@p379 @p375)) % 45.59/45.83 (step-pop @p549 :rule scope :premises (@p380)) % 45.59/45.83 (step @p381 :rule process_scope :premises (@p549) :args (false)) % 45.59/45.83 (step @p383 :rule eq_resolve :premises (@p381 @p371)) % 45.59/45.83 (step @p384 :rule eq_resolve :premises (@p383 @p370)) % 45.59/45.83 (step-pop @p550 :rule scope :premises (@p384)) % 45.59/45.83 (step @p385 :rule process_scope :premises (@p550) :args (@t135)) % 45.59/45.83 (step @p387 :rule modus_ponens :premises (@p546 @p385)) % 45.59/45.83 (step-pop @p551 :rule scope :premises (@p387)) % 45.59/45.83 (step @p388 :rule process_scope :premises (@p551) :args (@t135)) % 45.59/45.83 (step @p390 :rule implies_elim :premises (@p388)) % 45.59/45.83 (step @p391 :rule bool-double-not-elim :args (@t133)) % 45.59/45.83 (step @p392 :rule refl :args (@t124)) % 45.59/45.83 (step @p393 :rule nary_cong :premises (@p166 @p392 @p391) :args ((or @t53 @t124 @t136))) % 45.59/45.83 (assume-push @p552 @t52) % 45.59/45.83 (assume-push @p553 @t135) % 45.59/45.83 (assume-push @p554 @t116) % 45.59/45.83 (assume-push @p555 @t116) % 45.59/45.83 (step @p174 :rule evaluate :args (@t91)) % 45.59/45.83 (step @p398 :rule evaluate :args ((+ 3 6 -9))) % 45.59/45.83 (step @p178 :rule evaluate :args (@t92)) % 45.59/45.83 (step @p177 :rule refl :args (6)) % 45.59/45.83 (step @p176 :rule refl :args (3)) % 45.59/45.83 (step @p399 :rule nary_cong :premises (@p176 @p177 @p178) :args (@t137)) % 45.59/45.83 (step @p400 :rule trans :premises (@p399 @p398)) % 45.59/45.83 (step @p401 :rule arith_poly_norm :args (@t138)) % 45.59/45.83 (step @p184 :rule arith_poly_norm :args (@t98)) % 45.59/45.83 (step @p182 :rule refl :args (@t50)) % 45.59/45.83 (step @p183 :rule refl :args (@t49)) % 45.59/45.83 (step @p402 :rule nary_cong :premises (@p183 @p182 @p184) :args (@t139)) % 45.59/45.83 (step @p403 :rule trans :premises (@p402 @p401)) % 45.59/45.83 (step @p404 :rule cong :premises (@p403 @p400) :args (@t140)) % 45.59/45.83 (step @p405 :rule trans :premises (@p404 @p174)) % 45.59/45.83 (step @p406 :rule cong :premises (@p405) :args ((not @t140))) % 45.59/45.83 (step @p407 :rule trans :premises (@p406 @p13)) % 45.59/45.83 (step @p408 :rule arith-elim-lt :args (@t139 @t137)) % 45.59/45.83 (step @p409 :rule trans :premises (@p408 @p407)) % 45.59/45.83 (step @p194 :rule arith_mult_neg :args (-1 @t52)) % 45.59/45.83 (step @p142 :rule evaluate :args (@t87)) % 45.59/45.83 (step @p143 :rule true_elim :premises (@p142)) % 45.59/45.83 (step @p195 :rule and_intro :premises (@p143 @p163)) % 45.59/45.83 (step @p196 :rule modus_ponens :premises (@p195 @p194)) % 45.59/45.83 (step @p370 :rule arith-elim-lt :args (@t50 6)) % 45.59/45.83 (step @p371 :rule symm :premises (@p370)) % 45.59/45.83 (step @p410 :rule eq_resolve :premises (@p553 @p371)) % 45.59/45.83 (step @p411 :rule arith_sum_ub :premises (@p554 @p410 @p196)) % 45.59/45.83 (step @p412 false :rule eq_resolve :premises (@p411 @p409)) % 45.59/45.83 (step-pop @p556 :rule scope :premises (@p412)) % 45.59/45.83 (step @p413 :rule process_scope :premises (@p556) :args (false)) % 45.59/45.83 (step @p415 false :rule contra :premises (@p554 @p413)) % 45.59/45.83 (step-pop @p557 :rule scope :premises (@p415)) % 45.59/45.83 (step-pop @p558 :rule scope :premises (@p557)) % 45.59/45.83 (step-pop @p559 :rule scope :premises (@p558)) % 45.59/45.83 (step @p416 :rule process_scope :premises (@p559) :args (false)) % 45.59/45.83 (assume-push @p560 @t52) % 45.59/45.83 (assume-push @p561 @t116) % 45.59/45.83 (assume-push @p562 @t135) % 45.59/45.83 (step @p423 :rule and_intro :premises (@p163 @p562 @p561)) % 45.59/45.83 (step-pop @p563 :rule scope :premises (@p423)) % 45.59/45.83 (step-pop @p564 :rule scope :premises (@p563)) % 45.59/45.83 (step-pop @p565 :rule scope :premises (@p564)) % 45.59/45.83 (step @p424 :rule process_scope :premises (@p565) :args (@t141)) % 45.59/45.83 (step @p428 :rule implies_elim :premises (@p424)) % 45.59/45.83 (step @p429 :rule resolution :premises (@p428 @p416) :args (true @t141)) % 45.59/45.83 (step @p430 :rule not_and :premises (@p429)) % 45.59/45.83 (step @p431 :rule eq_resolve :premises (@p430 @p393)) % 45.59/45.83 (step @p432 :rule refl :args (@t127)) % 45.59/45.83 (step @p433 :rule nary_cong :premises (@p166 @p432 @p391) :args ((or @t53 @t127 @t136))) % 45.59/45.83 (assume-push @p566 @t52) % 45.59/45.83 (assume-push @p567 @t135) % 45.59/45.83 (assume-push @p568 @t125) % 45.59/45.83 (assume-push @p569 @t125) % 45.59/45.83 (step @p241 :rule evaluate :args (@t108)) % 45.59/45.83 (step @p438 :rule evaluate :args ((+ 1 6 -9))) % 45.59/45.83 (step @p178 :rule evaluate :args (@t92)) % 45.59/45.83 (step @p177 :rule refl :args (6)) % 45.59/45.83 (step @p243 :rule refl :args (1)) % 45.59/45.83 (step @p439 :rule nary_cong :premises (@p243 @p177 @p178) :args (@t142)) % 45.59/45.83 (step @p440 :rule trans :premises (@p439 @p438)) % 45.59/45.83 (step @p401 :rule arith_poly_norm :args (@t138)) % 45.59/45.83 (step @p184 :rule arith_poly_norm :args (@t98)) % 45.59/45.83 (step @p182 :rule refl :args (@t50)) % 45.59/45.83 (step @p183 :rule refl :args (@t49)) % 45.59/45.83 (step @p402 :rule nary_cong :premises (@p183 @p182 @p184) :args (@t139)) % 45.59/45.83 (step @p403 :rule trans :premises (@p402 @p401)) % 45.59/45.83 (step @p441 :rule cong :premises (@p403 @p440) :args (@t143)) % 45.59/45.83 (step @p442 :rule trans :premises (@p441 @p241)) % 45.59/45.83 (step @p443 :rule cong :premises (@p442) :args ((not @t143))) % 45.59/45.83 (step @p444 :rule trans :premises (@p443 @p13)) % 45.59/45.83 (step @p445 :rule arith-elim-lt :args (@t139 @t142)) % 45.59/45.83 (step @p446 :rule trans :premises (@p445 @p444)) % 45.59/45.83 (step @p194 :rule arith_mult_neg :args (-1 @t52)) % 45.59/45.83 (step @p142 :rule evaluate :args (@t87)) % 45.59/45.83 (step @p143 :rule true_elim :premises (@p142)) % 45.59/45.83 (step @p195 :rule and_intro :premises (@p143 @p163)) % 45.59/45.83 (step @p196 :rule modus_ponens :premises (@p195 @p194)) % 45.59/45.83 (step @p370 :rule arith-elim-lt :args (@t50 6)) % 45.59/45.83 (step @p371 :rule symm :premises (@p370)) % 45.59/45.83 (step @p447 :rule eq_resolve :premises (@p567 @p371)) % 45.59/45.83 (step @p448 :rule arith_sum_ub :premises (@p568 @p447 @p196)) % 45.59/45.83 (step @p449 false :rule eq_resolve :premises (@p448 @p446)) % 45.59/45.83 (step-pop @p570 :rule scope :premises (@p449)) % 45.59/45.83 (step @p450 :rule process_scope :premises (@p570) :args (false)) % 45.59/45.83 (step @p452 false :rule contra :premises (@p568 @p450)) % 45.59/45.83 (step-pop @p571 :rule scope :premises (@p452)) % 45.59/45.83 (step-pop @p572 :rule scope :premises (@p571)) % 45.59/45.83 (step-pop @p573 :rule scope :premises (@p572)) % 45.59/45.83 (step @p453 :rule process_scope :premises (@p573) :args (false)) % 45.59/45.83 (assume-push @p574 @t52) % 45.59/45.83 (assume-push @p575 @t125) % 45.59/45.83 (assume-push @p576 @t135) % 45.59/45.83 (step @p460 :rule and_intro :premises (@p163 @p576 @p575)) % 45.59/45.83 (step-pop @p577 :rule scope :premises (@p460)) % 45.59/45.83 (step-pop @p578 :rule scope :premises (@p577)) % 45.59/45.83 (step-pop @p579 :rule scope :premises (@p578)) % 45.59/45.83 (step @p461 :rule process_scope :premises (@p579) :args (@t144)) % 45.59/45.83 (step @p465 :rule implies_elim :premises (@p461)) % 45.59/45.83 (step @p466 :rule resolution :premises (@p465 @p453) :args (true @t144)) % 45.59/45.83 (step @p467 :rule not_and :premises (@p466)) % 45.59/45.83 (step @p468 :rule eq_resolve :premises (@p467 @p433)) % 45.59/45.83 (step @p469 :rule chain_m_resolution :premises (@p468 @p163 @p355 @p353 @p366 @p364 @p352 @p431 @p163 @p390 @p115 @p113 @p126 @p124 @p221 @p232 @p230 @p234 @p275 @p163 @p219 @p163 @p367 @p307 @p305 @p296 @p294 @p276) :args (@t103 (@list false false true false false false true false true false false true false true true false true true false true false true false false false false true) (@list @t52 @t125 @t129 @t130 @t132 @t117 @t116 @t52 @t133 @t65 @t69 @t68 @t79 @t77 @t76 @t106 @t104 @t102 @t52 @t75 @t52 @t80 @t118 @t120 @t112 @t113 @t63))) % 45.59/45.83 (assume-push @p580 @t2) % 45.59/45.83 (step @p471 :rule instantiate :premises (@p1) :args ((@list @t50))) % 45.59/45.83 (step-pop @p581 :rule scope :premises (@p471)) % 45.59/45.83 (step @p472 :rule process_scope :premises (@p581) :args ((not @t103))) % 45.59/45.83 (step @p474 :rule implies_elim :premises (@p472)) % 45.59/45.83 (step @p475 false :rule chain_m_resolution :premises (@p474 @p469 @p1) :args (false @t74 (@list @t103 @t2))) % 45.59/45.83 ) % 45.59/45.83 % SZS output end Proof % 45.59/45.83 % cvc5 exiting %------------------------------------------------------------------------------