%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT085_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 : n013.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 08:14:29 AM UTC 2026 % Result : Theorem 60.85s 61.09s % Output : Proof 60.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT085_1 : TPTP v9.2.1. Released v6.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n013.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 22:28:00 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_ARI % 60.85/61.09 --- Run --finite-model-find --decision=internal at 45... % 60.85/61.09 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 60.85/61.09 --- Run --no-e-matching --full-saturate-quant at 45... % 60.85/61.09 % SZS status Theorem % 60.85/61.09 % SZS output start Proof % 60.85/61.09 ( % 60.85/61.09 (declare-sort tptp.list 0) % 60.85/61.09 (declare-const tptp.count (-> Int tptp.list Int)) % 60.85/61.09 (declare-const tptp.length (-> tptp.list Int)) % 60.85/61.09 (declare-const tptp.inRange (-> Int tptp.list Bool)) % 60.85/61.09 (declare-const tptp.in (-> Int tptp.list Bool)) % 60.85/61.09 (declare-const tptp.nil tptp.list) % 60.85/61.09 (declare-const tptp.append (-> tptp.list tptp.list tptp.list)) % 60.85/61.09 (declare-const tptp.tail (-> tptp.list tptp.list)) % 60.85/61.09 (declare-const tptp.head (-> tptp.list Int)) % 60.85/61.09 (declare-const tptp.cons (-> Int tptp.list tptp.list)) % 60.85/61.09 (define @t1 () (@var "K" Int)) % 60.85/61.09 (define @t2 () (@var "L" tptp.list)) % 60.85/61.09 (define @t3 () (tptp.cons @t1 @t2)) % 60.85/61.09 (define @t4 () (@list @t1 @t2)) % 60.85/61.09 (define @t5 () (= @t2 tptp.nil)) % 60.85/61.09 (define @t6 () (@list @t2)) % 60.85/61.09 (define @t7 () (@var "T" tptp.list)) % 60.85/61.09 (define @t8 () (@var "X" Int)) % 60.85/61.09 (define @t9 () (@var "H" Int)) % 60.85/61.09 (define @t10 () (tptp.cons @t9 @t7)) % 60.85/61.09 (define @t11 () (= @t2 @t10)) % 60.85/61.09 (define @t12 () (@list @t9 @t7)) % 60.85/61.09 (define @t13 () (@var "N" Int)) % 60.85/61.09 (define @t14 () (@list @t13 @t2)) % 60.85/61.09 (define @t15 () (tptp.length tptp.nil)) % 60.85/61.09 (define @t16 () (= @t15 0)) % 60.85/61.09 (define @t17 () (forall @t12 (= (tptp.length @t10) (+ 1 (tptp.length @t7))))) % 60.85/61.09 (define @t18 () (@list @t1)) % 60.85/61.09 (define @t19 () (tptp.count @t1 @t7)) % 60.85/61.09 (define @t20 () (tptp.count @t1 @t10)) % 60.85/61.09 (define @t21 () (= @t20 @t19)) % 60.85/61.09 (define @t22 () (= @t1 @t9)) % 60.85/61.09 (define @t23 () (not @t22)) % 60.85/61.09 (define @t24 () (@list @t1 @t9 @t7 @t13)) % 60.85/61.09 (define @t25 () (forall @t24 (=> @t23 @t21))) % 60.85/61.09 (define @t26 () (+ @t19 1)) % 60.85/61.09 (define @t27 () (= @t20 @t26)) % 60.85/61.09 (define @t28 () (=> @t22 @t27)) % 60.85/61.09 (define @t29 () (forall @t24 @t28)) % 60.85/61.09 (define @t30 () (@var "K" tptp.list)) % 60.85/61.09 (define @t31 () (@var "I" Int)) % 60.85/61.09 (define @t32 () (@var "L2" tptp.list)) % 60.85/61.09 (define @t33 () (@var "L1" tptp.list)) % 60.85/61.09 (define @t34 () (= @t33 @t32)) % 60.85/61.09 (define @t35 () (= (tptp.length @t33) (tptp.length @t32))) % 60.85/61.09 (define @t36 () (forall (@list @t33 @t32) (=> @t35 @t34))) % 60.85/61.09 (define @t37 () (tptp.cons 0 tptp.nil)) % 60.85/61.09 (define @t38 () (tptp.length @t37)) % 60.85/61.09 (define @t39 () (= (tptp.count @t9 @t10) (+ 1 (tptp.count @t9 @t7)))) % 60.85/61.09 (define @t40 () (not (= @t9 @t9))) % 60.85/61.09 (define @t41 () (or @t40 @t39)) % 60.85/61.09 (define @t42 () (+ 1 @t19)) % 60.85/61.09 (define @t43 () (= @t20 @t42)) % 60.85/61.09 (define @t44 () (or @t23 @t23 @t43)) % 60.85/61.09 (define @t45 () (or @t23 @t43)) % 60.85/61.09 (define @t46 () (forall @t18 @t45)) % 60.85/61.09 (define @t47 () (forall @t12 @t46)) % 60.85/61.09 (define @t48 () (forall (@list @t9 @t7 @t1) @t45)) % 60.85/61.09 (define @t49 () (@list @t1 @t9 @t7)) % 60.85/61.09 (define @t50 () (forall @t49 @t45)) % 60.85/61.09 (define @t51 () (tptp.cons @t38 tptp.nil)) % 60.85/61.09 (define @t52 () (tptp.count @t38 @t51)) % 60.85/61.09 (define @t53 () (+ -1 @t52)) % 60.85/61.09 (define @t54 () (tptp.count @t38 tptp.nil)) % 60.85/61.09 (define @t55 () (- @t54 @t53)) % 60.85/61.09 (define @t56 () (+ 1 @t54)) % 60.85/61.09 (define @t57 () (= @t54 @t53)) % 60.85/61.09 (define @t58 () (= @t52 @t56)) % 60.85/61.09 (define @t59 () (forall @t12 @t39)) % 60.85/61.09 (define @t60 () (@list @t38 tptp.nil)) % 60.85/61.09 (define @t61 () (@list false)) % 60.85/61.09 (define @t62 () (or @t22 @t21)) % 60.85/61.09 (define @t63 () (forall @t49 @t62)) % 60.85/61.09 (define @t64 () (tptp.count @t38 @t37)) % 60.85/61.09 (define @t65 () (= @t54 @t64)) % 60.85/61.09 (define @t66 () (= @t64 @t54)) % 60.85/61.09 (define @t67 () (= @t38 0)) % 60.85/61.09 (define @t68 () (or @t67 @t66)) % 60.85/61.09 (define @t69 () (or @t67 @t65)) % 60.85/61.09 (define @t70 () (+ -1 @t38)) % 60.85/61.09 (define @t71 () (- @t15 @t70)) % 60.85/61.09 (define @t72 () (+ 1 @t15)) % 60.85/61.09 (define @t73 () (= @t15 @t70)) % 60.85/61.09 (define @t74 () (= @t38 @t72)) % 60.85/61.09 (define @t75 () (@list @t17)) % 60.85/61.09 (define @t76 () (= 0 @t38)) % 60.85/61.09 (define @t77 () (not @t76)) % 60.85/61.09 (define @t78 () (not @t67)) % 60.85/61.09 (define @t79 () (= @t15 @t38)) % 60.85/61.09 (define @t80 () (>= -1 0)) % 60.85/61.09 (define @t81 () (* -1 @t38)) % 60.85/61.09 (define @t82 () (+ -1 @t81)) % 60.85/61.09 (define @t83 () (- @t82 @t81)) % 60.85/61.09 (define @t84 () (+ @t81 -1)) % 60.85/61.09 (define @t85 () (* -1 @t15)) % 60.85/61.09 (define @t86 () (+ @t85 @t81 @t15)) % 60.85/61.09 (define @t87 () (+ @t15 @t81)) % 60.85/61.09 (define @t88 () (+ @t85 @t87)) % 60.85/61.09 (define @t89 () (= (* 1 (- @t87 -1)) (* 1 @t71))) % 60.85/61.09 (define @t90 () (= @t87 -1)) % 60.85/61.09 (define @t91 () (= @t90 @t73)) % 60.85/61.09 (define @t92 () (< -1 0)) % 60.85/61.09 (define @t93 () (and @t16 @t73)) % 60.85/61.09 (define @t94 () (@list false false)) % 60.85/61.09 (define @t95 () (tptp.length @t51)) % 60.85/61.09 (define @t96 () (+ -1 @t95)) % 60.85/61.09 (define @t97 () (- @t15 @t96)) % 60.85/61.09 (define @t98 () (= @t15 @t96)) % 60.85/61.09 (define @t99 () (= @t95 @t72)) % 60.85/61.09 (define @t100 () (* -1 @t95)) % 60.85/61.09 (define @t101 () (+ @t38 @t100)) % 60.85/61.09 (define @t102 () (>= @t101 1)) % 60.85/61.09 (define @t103 () (<= 0 -1)) % 60.85/61.09 (define @t104 () (* -1 -1)) % 60.85/61.09 (define @t105 () (* -1 1)) % 60.85/61.09 (define @t106 () (+ @t105 @t104 -1)) % 60.85/61.09 (define @t107 () (* 0 @t15)) % 60.85/61.09 (define @t108 () (= @t107 0)) % 60.85/61.09 (define @t109 () (* 0 @t95)) % 60.85/61.09 (define @t110 () (= @t109 0)) % 60.85/61.09 (define @t111 () (+ @t109 @t38 @t81 @t107)) % 60.85/61.09 (define @t112 () (+ @t15 @t100)) % 60.85/61.09 (define @t113 () (+ (* -1 @t101) (* -1 @t87) @t112)) % 60.85/61.09 (define @t114 () (= (* 1 (- @t112 -1)) (* 1 @t97))) % 60.85/61.09 (define @t115 () (= @t112 -1)) % 60.85/61.09 (define @t116 () (= @t115 @t98)) % 60.85/61.09 (define @t117 () (and @t98 @t73 @t102)) % 60.85/61.09 (define @t118 () (not @t102)) % 60.85/61.09 (define @t119 () (= @t38 @t95)) % 60.85/61.09 (define @t120 () (not @t98)) % 60.85/61.09 (define @t121 () (not @t73)) % 60.85/61.09 (define @t122 () (not @t119)) % 60.85/61.09 (define @t123 () (+ -1 1)) % 60.85/61.09 (define @t124 () (>= @t101 @t123)) % 60.85/61.09 (define @t125 () (<= @t101 -1)) % 60.85/61.09 (define @t126 () (+ -1 -1 @t104)) % 60.85/61.09 (define @t127 () (+ @t109 @t81 @t38 @t107)) % 60.85/61.09 (define @t128 () (+ @t101 @t87 (* -1 @t112))) % 60.85/61.09 (define @t129 () (= @t101 0)) % 60.85/61.09 (define @t130 () (and @t98 @t73 @t122 @t118)) % 60.85/61.09 (define @t131 () (= @t37 @t51)) % 60.85/61.09 (define @t132 () (or @t122 @t131)) % 60.85/61.09 (define @t133 () (= 0 @t52)) % 60.85/61.09 (define @t134 () (not @t133)) % 60.85/61.09 (define @t135 () (= @t54 0)) % 60.85/61.09 (define @t136 () (= 0 @t64)) % 60.85/61.09 (define @t137 () (= @t54 @t52)) % 60.85/61.09 (define @t138 () (* -1 @t52)) % 60.85/61.09 (define @t139 () (+ -1 @t138)) % 60.85/61.09 (define @t140 () (- @t139 @t138)) % 60.85/61.09 (define @t141 () (+ @t138 -1)) % 60.85/61.09 (define @t142 () (* -1 @t54)) % 60.85/61.09 (define @t143 () (+ @t142 @t138 @t54)) % 60.85/61.09 (define @t144 () (+ @t54 @t138)) % 60.85/61.09 (define @t145 () (+ @t142 @t144)) % 60.85/61.09 (define @t146 () (and @t134 @t133)) % 60.85/61.09 (assume @p1 (forall @t4 (= (tptp.head @t3) @t1))) % 60.85/61.09 (assume @p2 (forall @t4 (= (tptp.tail @t3) @t2))) % 60.85/61.09 (assume @p3 (forall @t6 (or @t5 (= @t2 (tptp.cons (tptp.head @t2) (tptp.tail @t2)))))) % 60.85/61.09 (assume @p4 (forall @t4 (not (= @t3 tptp.nil)))) % 60.85/61.09 (assume @p5 (forall (@list @t8 @t2) (= (tptp.in @t8 @t2) (or (exists @t12 (and @t11 (= @t8 @t9))) (exists @t12 (and @t11 (tptp.in @t8 @t7))))))) % 60.85/61.09 (assume @p6 (forall @t14 (= (tptp.inRange @t13 @t2) (or @t5 (exists (@list @t1 @t7) (and (= @t2 (tptp.cons @t1 @t7)) (<= 0 @t1) (< @t1 @t13) (tptp.inRange @t13 @t7))))))) % 60.85/61.09 (assume @p7 @t16) % 60.85/61.09 (assume @p8 @t17) % 60.85/61.09 (assume @p9 (forall @t18 (= (tptp.count @t1 tptp.nil) 0))) % 60.85/61.09 (assume @p10 @t25) % 60.85/61.09 (assume @p11 @t29) % 60.85/61.09 (assume @p12 (forall @t6 (= (tptp.append tptp.nil @t2) @t2))) % 60.85/61.09 (assume @p13 (forall (@list @t31 @t30 @t2) (= (tptp.append (tptp.cons @t31 @t30) @t2) (tptp.cons @t31 (tptp.append @t30 @t2))))) % 60.85/61.09 (assume @p14 (forall @t14 (= (tptp.in @t13 @t2) (> (tptp.count @t13 @t2) 0)))) % 60.85/61.09 (assume @p15 (not (not @t36))) % 60.85/61.09 (assume @p16 true) % 60.85/61.09 (step @p17 :rule instantiate :premises (@p9) :args ((@list @t38))) % 60.85/61.09 (step @p18 :rule aci_norm :args ((= (or false @t39) @t39))) % 60.85/61.09 (step @p19 :rule refl :args (@t39)) % 60.85/61.09 (step @p20 :rule evaluate :args ((not true))) % 60.85/61.09 (step @p21 :rule eq-refl :args (@t9)) % 60.85/61.09 (step @p22 :rule cong :premises (@p21) :args (@t40)) % 60.85/61.09 (step @p23 :rule trans :premises (@p22 @p20)) % 60.85/61.09 (step @p24 :rule nary_cong :premises (@p23 @p19) :args (@t41)) % 60.85/61.09 (step @p25 :rule trans :premises (@p24 @p18)) % 60.85/61.09 (step @p26 :rule cong :premises (@p25) :args ((forall @t12 @t41))) % 60.85/61.09 (step @p27 :rule quant-var-elim-eq :args ((= (forall @t18 @t44) @t41))) % 60.85/61.09 (step @p28 :rule aci_norm :args ((= @t45 @t44))) % 60.85/61.09 (step @p29 :rule cong :premises (@p28) :args (@t46)) % 60.85/61.09 (step @p30 :rule trans :premises (@p29 @p27)) % 60.85/61.09 (step @p31 :rule cong :premises (@p30) :args (@t47)) % 60.85/61.09 (step @p32 :rule quant-merge-prenex :args ((= @t47 @t48))) % 60.85/61.09 (step @p33 :rule symm :premises (@p32)) % 60.85/61.09 (step @p34 :rule quant_var_reordering :args ((= @t50 @t48))) % 60.85/61.09 (step @p35 :rule trans :premises (@p34 @p33 @p31)) % 60.85/61.09 (step @p36 :rule trans :premises (@p35 @p26)) % 60.85/61.09 (step @p37 :rule quant-unused-vars :args ((= (forall @t24 @t45) @t50))) % 60.85/61.09 (step @p38 :rule trans :premises (@p37 @p36)) % 60.85/61.09 (step @p39 :rule bool-impl-elim :args (@t22 @t43)) % 60.85/61.09 (step @p40 :rule cong :premises (@p39) :args ((forall @t24 (=> @t22 @t43)))) % 60.85/61.09 (step @p41 :rule trans :premises (@p40 @p38)) % 60.85/61.09 (step @p42 :rule arith_poly_norm :args ((= @t26 @t42))) % 60.85/61.09 (step @p43 :rule refl :args (@t20)) % 60.85/61.09 (step @p44 :rule cong :premises (@p43 @p42) :args (@t27)) % 60.85/61.09 (step @p45 :rule refl :args (@t22)) % 60.85/61.09 (step @p46 :rule cong :premises (@p45 @p44) :args (@t28)) % 60.85/61.09 (step @p47 :rule cong :premises (@p46) :args (@t29)) % 60.85/61.09 (step @p48 :rule trans :premises (@p47 @p41)) % 60.85/61.09 (step @p49 :rule eq_resolve :premises (@p11 @p48)) % 60.85/61.09 (step @p50 :rule arith_poly_norm :args ((= (* 1 (- @t52 @t56)) (* -1 @t55)))) % 60.85/61.09 (step @p51 :rule arith_poly_norm_rel :premises (@p50) :args ((= @t58 @t57))) % 60.85/61.09 (step @p52 :rule refl :args (@t59)) % 60.85/61.09 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t59 @t58))) % 60.85/61.09 (assume-push @p385 @t59) % 60.85/61.09 (step @p55 :rule instantiate :premises (@p49) :args (@t60)) % 60.85/61.09 (step-pop @p386 :rule scope :premises (@p55)) % 60.85/61.09 (step @p56 :rule process_scope :premises (@p386) :args (@t58)) % 60.85/61.09 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 60.85/61.09 (step @p59 :rule implies_elim :premises (@p58)) % 60.85/61.09 (step @p60 :rule chain_m_resolution :premises (@p59 @p49) :args (@t57 @t61 (@list @t59))) % 60.85/61.09 (step @p61 :rule quant-unused-vars :args ((= (forall @t24 @t62) @t63))) % 60.85/61.09 (step @p62 :rule refl :args (@t21)) % 60.85/61.09 (step @p63 :rule bool-double-not-elim :args (@t22)) % 60.85/61.09 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or (not @t23) @t21))) % 60.85/61.09 (step @p65 :rule bool-impl-elim :args (@t23 @t21)) % 60.85/61.09 (step @p66 :rule trans :premises (@p65 @p64)) % 60.85/61.09 (step @p67 :rule cong :premises (@p66) :args (@t25)) % 60.85/61.09 (step @p68 :rule trans :premises (@p67 @p61)) % 60.85/61.09 (step @p69 :rule eq_resolve :premises (@p10 @p68)) % 60.85/61.09 (step @p70 :rule arith_poly_norm :args ((= (* 1 (- @t64 @t54)) (* -1 (- @t54 @t64))))) % 60.85/61.09 (step @p71 :rule arith_poly_norm_rel :premises (@p70) :args ((= @t66 @t65))) % 60.85/61.09 (step @p72 :rule refl :args (@t67)) % 60.85/61.09 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t68)) % 60.85/61.09 (step @p74 :rule refl :args (@t63)) % 60.85/61.09 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t63 @t68))) % 60.85/61.09 (assume-push @p387 @t63) % 60.85/61.09 (step @p77 :rule instantiate :premises (@p69) :args ((@list @t38 0 tptp.nil))) % 60.85/61.09 (step-pop @p388 :rule scope :premises (@p77)) % 60.85/61.09 (step @p78 :rule process_scope :premises (@p388) :args (@t68)) % 60.85/61.09 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 60.85/61.09 (step @p81 :rule implies_elim :premises (@p80)) % 60.85/61.09 (step @p82 :rule chain_m_resolution :premises (@p81 @p69) :args (@t69 @t61 (@list @t63))) % 60.85/61.09 (step @p83 :rule arith_poly_norm :args ((= (* 1 (- @t38 @t72)) (* -1 @t71)))) % 60.85/61.09 (step @p84 :rule arith_poly_norm_rel :premises (@p83) :args ((= @t74 @t73))) % 60.85/61.09 (step @p85 :rule refl :args (@t17)) % 60.85/61.09 (step @p86 :rule cong :premises (@p85 @p84) :args ((=> @t17 @t74))) % 60.85/61.09 (assume-push @p389 @t17) % 60.85/61.09 (step @p88 :rule instantiate :premises (@p8) :args ((@list 0 tptp.nil))) % 60.85/61.09 (step-pop @p390 :rule scope :premises (@p88)) % 60.85/61.09 (step @p89 :rule process_scope :premises (@p390) :args (@t74)) % 60.85/61.09 (step @p91 :rule eq_resolve :premises (@p89 @p86)) % 60.85/61.09 (step @p92 :rule implies_elim :premises (@p91)) % 60.85/61.09 (step @p93 :rule chain_m_resolution :premises (@p92 @p8) :args (@t73 @t61 @t75)) % 60.85/61.09 (assume-push @p391 @t16) % 60.85/61.09 (assume-push @p392 @t73) % 60.85/61.09 (assume-push @p393 @t77) % 60.85/61.09 (step @p97 :rule symm :premises (@p393)) % 60.85/61.09 (step-pop @p394 :rule scope :premises (@p97)) % 60.85/61.09 (step @p98 :rule process_scope :premises (@p394) :args (@t78)) % 60.85/61.09 (assume-push @p395 @t16) % 60.85/61.09 (assume-push @p396 @t73) % 60.85/61.09 (assume-push @p397 @t79) % 60.85/61.09 (step @p103 :rule evaluate :args (@t80)) % 60.85/61.09 (step @p104 :rule refl :args (0)) % 60.85/61.09 (step @p105 :rule arith_poly_norm :args ((= @t83 -1))) % 60.85/61.09 (step @p106 :rule cong :premises (@p105 @p104) :args ((>= @t83 0))) % 60.85/61.09 (step @p107 :rule trans :premises (@p106 @p103)) % 60.85/61.09 (step @p108 :rule arith-geq-norm1-int :args (@t82 @t81)) % 60.85/61.09 (step @p109 :rule trans :premises (@p108 @p107)) % 60.85/61.09 (step @p110 :rule arith-elim-leq :args (@t81 @t82)) % 60.85/61.09 (step @p111 :rule trans :premises (@p110 @p109)) % 60.85/61.09 (step @p112 :rule arith_poly_norm :args ((= @t84 @t82))) % 60.85/61.09 (step @p113 :rule arith_poly_norm :args ((= @t86 @t81))) % 60.85/61.09 (step @p114 :rule arith_poly_norm :args ((= @t88 @t86))) % 60.85/61.09 (step @p115 :rule trans :premises (@p114 @p113)) % 60.85/61.09 (step @p116 :rule cong :premises (@p115 @p112) :args ((<= @t88 @t84))) % 60.85/61.09 (step @p117 :rule trans :premises (@p116 @p111)) % 60.85/61.09 (step @p118 :rule arith_poly_norm :args (@t89)) % 60.85/61.09 (step @p119 :rule arith_poly_norm_rel :premises (@p118) :args (@t91)) % 60.85/61.09 (step @p120 :rule symm :premises (@p119)) % 60.85/61.09 (step @p121 :rule eq_resolve :premises (@p93 @p120)) % 60.85/61.09 (step @p122 :rule arith_mult_neg :args (-1 @t79)) % 60.85/61.09 (step @p123 :rule evaluate :args (@t92)) % 60.85/61.09 (step @p124 :rule true_elim :premises (@p123)) % 60.85/61.09 (step @p125 :rule and_intro :premises (@p124 @p397)) % 60.85/61.09 (step @p126 :rule modus_ponens :premises (@p125 @p122)) % 60.85/61.09 (step @p127 :rule arith_sum_ub :premises (@p126 @p121)) % 60.85/61.09 (step @p128 false :rule eq_resolve :premises (@p127 @p117)) % 60.85/61.09 (step-pop @p398 :rule scope :premises (@p128)) % 60.85/61.09 (step @p129 :rule process_scope :premises (@p398) :args (false)) % 60.85/61.09 (step @p131 :rule false_intro :premises (@p129)) % 60.85/61.09 (step @p132 :rule refl :args (@t38)) % 60.85/61.09 (step @p133 :rule symm :premises (@p7)) % 60.85/61.09 (step @p134 :rule cong :premises (@p133 @p132) :args (@t76)) % 60.85/61.09 (step @p135 :rule trans :premises (@p134 @p131)) % 60.85/61.09 (step @p136 :rule false_elim :premises (@p135)) % 60.85/61.09 (step-pop @p399 :rule scope :premises (@p136)) % 60.85/61.09 (step-pop @p400 :rule scope :premises (@p399)) % 60.85/61.09 (step @p137 :rule process_scope :premises (@p400) :args (@t77)) % 60.85/61.09 (step @p140 :rule and_intro :premises (@p7 @p93)) % 60.85/61.09 (step @p141 :rule modus_ponens :premises (@p140 @p137)) % 60.85/61.09 (step @p142 :rule modus_ponens :premises (@p141 @p98)) % 60.85/61.09 (step-pop @p401 :rule scope :premises (@p142)) % 60.85/61.09 (step-pop @p402 :rule scope :premises (@p401)) % 60.85/61.09 (step @p143 :rule process_scope :premises (@p402) :args (@t78)) % 60.85/61.09 (step @p146 :rule implies_elim :premises (@p143)) % 60.85/61.09 (step @p147 :rule cnf_and_neg :args (@t93)) % 60.85/61.09 (step @p148 :rule resolution :premises (@p147 @p146) :args (true @t93)) % 60.85/61.09 (step @p149 :rule chain_m_resolution :premises (@p148 @p7 @p93) :args (@t78 @t94 (@list @t16 @t73))) % 60.85/61.09 (step @p150 :rule cnf_or_pos :args (@t69)) % 60.85/61.09 (step @p151 :rule reordering :premises (@p150) :args ((or @t67 @t65 (not @t69)))) % 60.85/61.09 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p82) :args (@t65 (@list true false) (@list @t67 @t69))) % 60.85/61.09 (step @p153 :rule bool-impl-elim :args (@t35 @t34)) % 60.85/61.09 (step @p154 :rule cong :premises (@p153) :args (@t36)) % 60.85/61.09 (step @p155 :rule bool-double-not-elim :args (@t36)) % 60.85/61.09 (step @p156 :rule trans :premises (@p155 @p154)) % 60.85/61.09 (step @p157 :rule eq_resolve :premises (@p15 @p156)) % 60.85/61.09 (step @p158 :rule instantiate :premises (@p157) :args ((@list @t37 @t51))) % 60.85/61.09 (step @p159 :rule arith_poly_norm :args ((= (* 1 (- @t95 @t72)) (* -1 @t97)))) % 60.85/61.09 (step @p160 :rule arith_poly_norm_rel :premises (@p159) :args ((= @t99 @t98))) % 60.85/61.09 (step @p161 :rule cong :premises (@p85 @p160) :args ((=> @t17 @t99))) % 60.85/61.09 (assume-push @p403 @t17) % 60.85/61.09 (step @p163 :rule instantiate :premises (@p8) :args (@t60)) % 60.85/61.09 (step-pop @p404 :rule scope :premises (@p163)) % 60.85/61.09 (step @p164 :rule process_scope :premises (@p404) :args (@t99)) % 60.85/61.09 (step @p166 :rule eq_resolve :premises (@p164 @p161)) % 60.85/61.09 (step @p167 :rule implies_elim :premises (@p166)) % 60.85/61.09 (step @p168 :rule chain_m_resolution :premises (@p167 @p8) :args (@t98 @t61 @t75)) % 60.85/61.09 (assume-push @p405 @t98) % 60.85/61.09 (assume-push @p406 @t73) % 60.85/61.09 (assume-push @p407 @t102) % 60.85/61.09 (step @p172 :rule arith-elim-lt :args (@t101 1)) % 60.85/61.09 (step @p173 :rule symm :premises (@p172)) % 60.85/61.09 (assume-push @p408 @t102) % 60.85/61.09 (step @p175 :rule evaluate :args (@t103)) % 60.85/61.09 (step @p176 :rule evaluate :args ((+ -1 1 -1))) % 60.85/61.09 (step @p177 :rule refl :args (-1)) % 60.85/61.09 (step @p178 :rule evaluate :args (@t104)) % 60.85/61.09 (step @p179 :rule evaluate :args (@t105)) % 60.85/61.09 (step @p180 :rule nary_cong :premises (@p179 @p178 @p177) :args (@t106)) % 60.85/61.09 (step @p181 :rule trans :premises (@p180 @p176)) % 60.85/61.09 (step @p182 :rule arith_poly_norm :args ((= (+ 0 @t38 @t81 0) 0))) % 60.85/61.09 (step @p183 :rule arith_poly_norm :args (@t108)) % 60.85/61.09 (step @p184 :rule refl :args (@t81)) % 60.85/61.09 (step @p132 :rule refl :args (@t38)) % 60.85/61.09 (step @p185 :rule arith_poly_norm :args (@t110)) % 60.85/61.09 (step @p186 :rule nary_cong :premises (@p185 @p132 @p184 @p183) :args (@t111)) % 60.85/61.09 (step @p187 :rule trans :premises (@p186 @p182)) % 60.85/61.09 (step @p188 :rule arith_poly_norm :args ((= @t113 @t111))) % 60.85/61.09 (step @p189 :rule trans :premises (@p188 @p187)) % 60.85/61.09 (step @p190 :rule cong :premises (@p189 @p181) :args ((<= @t113 @t106))) % 60.85/61.09 (step @p191 :rule trans :premises (@p190 @p175)) % 60.85/61.09 (step @p192 :rule arith_poly_norm :args (@t114)) % 60.85/61.09 (step @p193 :rule arith_poly_norm_rel :premises (@p192) :args (@t116)) % 60.85/61.09 (step @p194 :rule symm :premises (@p193)) % 60.85/61.09 (step @p195 :rule eq_resolve :premises (@p168 @p194)) % 60.85/61.09 (step @p196 :rule arith_mult_neg :args (-1 @t90)) % 60.85/61.09 (step @p118 :rule arith_poly_norm :args (@t89)) % 60.85/61.09 (step @p119 :rule arith_poly_norm_rel :premises (@p118) :args (@t91)) % 60.85/61.09 (step @p120 :rule symm :premises (@p119)) % 60.85/61.09 (step @p121 :rule eq_resolve :premises (@p93 @p120)) % 60.85/61.09 (step @p123 :rule evaluate :args (@t92)) % 60.85/61.09 (step @p124 :rule true_elim :premises (@p123)) % 60.85/61.09 (step @p197 :rule and_intro :premises (@p124 @p121)) % 60.85/61.09 (step @p198 :rule modus_ponens :premises (@p197 @p196)) % 60.85/61.09 (step @p199 :rule arith_mult_neg :args (-1 @t102)) % 60.85/61.09 (step @p200 :rule and_intro :premises (@p124 @p407)) % 60.85/61.09 (step @p201 :rule modus_ponens :premises (@p200 @p199)) % 60.85/61.09 (step @p202 :rule arith_sum_ub :premises (@p201 @p198 @p195)) % 60.85/61.09 (step @p203 false :rule eq_resolve :premises (@p202 @p191)) % 60.85/61.09 (step-pop @p409 :rule scope :premises (@p203)) % 60.85/61.09 (step @p204 :rule process_scope :premises (@p409) :args (false)) % 60.85/61.09 (step @p206 :rule eq_resolve :premises (@p204 @p173)) % 60.85/61.09 (step @p207 :rule eq_resolve :premises (@p206 @p172)) % 60.85/61.09 (step @p208 false :rule contra :premises (@p407 @p207)) % 60.85/61.09 (step-pop @p410 :rule scope :premises (@p208)) % 60.85/61.09 (step-pop @p411 :rule scope :premises (@p410)) % 60.85/61.09 (step-pop @p412 :rule scope :premises (@p411)) % 60.85/61.09 (step @p209 :rule process_scope :premises (@p412) :args (false)) % 60.85/61.09 (assume-push @p413 @t73) % 60.85/61.09 (assume-push @p414 @t98) % 60.85/61.09 (assume-push @p415 @t102) % 60.85/61.09 (step @p216 :rule and_intro :premises (@p168 @p93 @p415)) % 60.85/61.09 (step-pop @p416 :rule scope :premises (@p216)) % 60.85/61.09 (step-pop @p417 :rule scope :premises (@p416)) % 60.85/61.09 (step-pop @p418 :rule scope :premises (@p417)) % 60.85/61.09 (step @p217 :rule process_scope :premises (@p418) :args (@t117)) % 60.85/61.09 (step @p221 :rule implies_elim :premises (@p217)) % 60.85/61.09 (step @p222 :rule resolution :premises (@p221 @p209) :args (true @t117)) % 60.85/61.09 (step @p223 :rule not_and :premises (@p222)) % 60.85/61.09 (step @p224 :rule chain_m_resolution :premises (@p223 @p93 @p168) :args (@t118 @t94 (@list @t73 @t98))) % 60.85/61.09 (step @p225 :rule bool-double-not-elim :args (@t102)) % 60.85/61.09 (step @p226 :rule bool-double-not-elim :args (@t119)) % 60.85/61.09 (step @p227 :rule refl :args (@t120)) % 60.85/61.09 (step @p228 :rule refl :args (@t121)) % 60.85/61.09 (step @p229 :rule nary_cong :premises (@p228 @p227 @p226 @p225) :args ((or @t121 @t120 (not @t122) (not @t118)))) % 60.85/61.09 (assume-push @p419 @t98) % 60.85/61.09 (assume-push @p420 @t73) % 60.85/61.09 (assume-push @p421 @t122) % 60.85/61.09 (assume-push @p422 @t118) % 60.85/61.09 (step @p234 :rule arith-elim-leq :args (@t101 -1)) % 60.85/61.09 (step @p235 :rule symm :premises (@p234)) % 60.85/61.09 (step @p236 :rule cong :premises (@p235) :args ((not (>= -1 @t101)))) % 60.85/61.09 (step @p237 :rule arith-elim-gt :args (@t101 -1)) % 60.85/61.09 (step @p238 :rule trans :premises (@p237 @p236)) % 60.85/61.09 (step @p239 :rule bool-double-not-elim :args ((>= @t101 0))) % 60.85/61.09 (step @p240 :rule evaluate :args (@t123)) % 60.85/61.09 (step @p241 :rule refl :args (@t101)) % 60.85/61.09 (step @p242 :rule cong :premises (@p241 @p240) :args (@t124)) % 60.85/61.09 (step @p243 :rule cong :premises (@p242) :args ((not @t124))) % 60.85/61.09 (step @p244 :rule arith-leq-norm :args (@t101 -1)) % 60.85/61.09 (step @p245 :rule trans :premises (@p244 @p243)) % 60.85/61.09 (step @p246 :rule cong :premises (@p245) :args ((not @t125))) % 60.85/61.09 (step @p247 :rule trans :premises (@p246 @p239)) % 60.85/61.09 (step @p248 :rule trans :premises (@p238 @p247)) % 60.85/61.09 (step @p249 :rule symm :premises (@p248)) % 60.85/61.09 (step @p250 :rule trans :premises (@p247 @p249)) % 60.85/61.09 (assume-push @p423 @t125) % 60.85/61.09 (step @p175 :rule evaluate :args (@t103)) % 60.85/61.09 (step @p252 :rule evaluate :args ((+ -1 -1 1))) % 60.85/61.09 (step @p178 :rule evaluate :args (@t104)) % 60.85/61.09 (step @p177 :rule refl :args (-1)) % 60.85/61.09 (step @p253 :rule nary_cong :premises (@p177 @p177 @p178) :args (@t126)) % 60.85/61.09 (step @p254 :rule trans :premises (@p253 @p252)) % 60.85/61.09 (step @p255 :rule arith_poly_norm :args ((= (+ 0 @t81 @t38 0) 0))) % 60.85/61.09 (step @p183 :rule arith_poly_norm :args (@t108)) % 60.85/61.09 (step @p132 :rule refl :args (@t38)) % 60.85/61.09 (step @p184 :rule refl :args (@t81)) % 60.85/61.09 (step @p185 :rule arith_poly_norm :args (@t110)) % 60.85/61.09 (step @p256 :rule nary_cong :premises (@p185 @p184 @p132 @p183) :args (@t127)) % 60.85/61.09 (step @p257 :rule trans :premises (@p256 @p255)) % 60.85/61.09 (step @p258 :rule arith_poly_norm :args ((= @t128 @t127))) % 60.85/61.09 (step @p259 :rule trans :premises (@p258 @p257)) % 60.85/61.09 (step @p260 :rule cong :premises (@p259 @p254) :args ((<= @t128 @t126))) % 60.85/61.09 (step @p261 :rule trans :premises (@p260 @p175)) % 60.85/61.09 (step @p262 :rule arith_mult_neg :args (-1 @t115)) % 60.85/61.09 (step @p192 :rule arith_poly_norm :args (@t114)) % 60.85/61.09 (step @p193 :rule arith_poly_norm_rel :premises (@p192) :args (@t116)) % 60.85/61.09 (step @p194 :rule symm :premises (@p193)) % 60.85/61.09 (step @p195 :rule eq_resolve :premises (@p168 @p194)) % 60.85/61.09 (step @p123 :rule evaluate :args (@t92)) % 60.85/61.09 (step @p124 :rule true_elim :premises (@p123)) % 60.85/61.09 (step @p263 :rule and_intro :premises (@p124 @p195)) % 60.85/61.09 (step @p264 :rule modus_ponens :premises (@p263 @p262)) % 60.85/61.09 (step @p118 :rule arith_poly_norm :args (@t89)) % 60.85/61.09 (step @p119 :rule arith_poly_norm_rel :premises (@p118) :args (@t91)) % 60.85/61.09 (step @p120 :rule symm :premises (@p119)) % 60.85/61.09 (step @p121 :rule eq_resolve :premises (@p93 @p120)) % 60.85/61.09 (step @p265 :rule arith_sum_ub :premises (@p423 @p121 @p264)) % 60.85/61.09 (step @p266 false :rule eq_resolve :premises (@p265 @p261)) % 60.85/61.09 (step-pop @p424 :rule scope :premises (@p266)) % 60.85/61.09 (step @p267 :rule process_scope :premises (@p424) :args (false)) % 60.85/61.09 (step @p269 :rule eq_resolve :premises (@p267 @p250)) % 60.85/61.09 (step @p270 :rule eq_resolve :premises (@p269 @p238)) % 60.85/61.09 (step @p172 :rule arith-elim-lt :args (@t101 1)) % 60.85/61.09 (step @p173 :rule symm :premises (@p172)) % 60.85/61.09 (step @p271 :rule eq_resolve :premises (@p422 @p173)) % 60.85/61.09 (step @p272 :rule int_tight_ub :premises (@p271)) % 60.85/61.09 (step @p273 :rule arith_poly_norm :args ((= (* 1 (- @t101 0)) (* 1 (- @t38 @t95))))) % 60.85/61.09 (step @p274 :rule arith_poly_norm_rel :premises (@p273) :args ((= @t129 @t119))) % 60.85/61.09 (step @p275 :rule cong :premises (@p274) :args ((not @t129))) % 60.85/61.09 (step @p276 :rule symm :premises (@p275)) % 60.85/61.09 (step @p277 :rule eq_resolve :premises (@p421 @p276)) % 60.85/61.09 (step @p278 :rule arith_trichotomy :premises (@p277 @p272)) % 60.85/61.09 (step @p279 :rule int_tight_ub :premises (@p278)) % 60.85/61.09 (step @p280 false :rule contra :premises (@p279 @p270)) % 60.85/61.09 (step-pop @p425 :rule scope :premises (@p280)) % 60.85/61.09 (step-pop @p426 :rule scope :premises (@p425)) % 60.85/61.09 (step-pop @p427 :rule scope :premises (@p426)) % 60.85/61.09 (step-pop @p428 :rule scope :premises (@p427)) % 60.85/61.09 (step @p281 :rule process_scope :premises (@p428) :args (false)) % 60.85/61.09 (assume-push @p429 @t73) % 60.85/61.09 (assume-push @p430 @t98) % 60.85/61.09 (assume-push @p431 @t122) % 60.85/61.09 (assume-push @p432 @t118) % 60.85/61.09 (step @p290 :rule and_intro :premises (@p168 @p93 @p431 @p432)) % 60.85/61.09 (step-pop @p433 :rule scope :premises (@p290)) % 60.85/61.09 (step-pop @p434 :rule scope :premises (@p433)) % 60.85/61.09 (step-pop @p435 :rule scope :premises (@p434)) % 60.85/61.09 (step-pop @p436 :rule scope :premises (@p435)) % 60.85/61.09 (step @p291 :rule process_scope :premises (@p436) :args (@t130)) % 60.85/61.09 (step @p296 :rule implies_elim :premises (@p291)) % 60.85/61.09 (step @p297 :rule resolution :premises (@p296 @p281) :args (true @t130)) % 60.85/61.09 (step @p298 :rule not_and :premises (@p297)) % 60.85/61.09 (step @p299 :rule eq_resolve :premises (@p298 @p229)) % 60.85/61.09 (step @p300 :rule chain_m_resolution :premises (@p299 @p93 @p168 @p224) :args (@t119 (@list false false true) (@list @t73 @t98 @t102))) % 60.85/61.09 (step @p301 :rule cnf_or_pos :args (@t132)) % 60.85/61.09 (step @p302 :rule reordering :premises (@p301) :args ((or @t131 @t122 (not @t132)))) % 60.85/61.09 (step @p303 :rule chain_m_resolution :premises (@p302 @p300 @p158) :args (@t131 @t94 (@list @t119 @t132))) % 60.85/61.09 (assume-push @p437 @t134) % 60.85/61.09 (assume-push @p438 @t133) % 60.85/61.09 (step @p306 :rule evaluate :args ((= false true))) % 60.85/61.09 (step @p307 :rule true_intro :premises (@p438)) % 60.85/61.09 (step @p308 :rule false_intro :premises (@p437)) % 60.85/61.09 (step @p309 :rule symm :premises (@p308)) % 60.85/61.09 (step @p310 :rule trans :premises (@p309 @p307)) % 60.85/61.09 (step @p311 false :rule eq_resolve :premises (@p310 @p306)) % 60.85/61.09 (step-pop @p439 :rule scope :premises (@p311)) % 60.85/61.09 (step-pop @p440 :rule scope :premises (@p439)) % 60.85/61.09 (step @p312 :rule process_scope :premises (@p440) :args (false)) % 60.85/61.09 (assume-push @p441 @t135) % 60.85/61.09 (assume-push @p442 @t57) % 60.85/61.09 (assume-push @p443 @t65) % 60.85/61.09 (assume-push @p444 @t131) % 60.85/61.09 (assume-push @p445 @t131) % 60.85/61.09 (assume-push @p446 @t136) % 60.85/61.09 (step @p132 :rule refl :args (@t38)) % 60.85/61.09 (step @p321 :rule cong :premises (@p132 @p444) :args (@t64)) % 60.85/61.09 (step @p322 :rule trans :premises (@p446 @p321)) % 60.85/61.09 (step-pop @p447 :rule scope :premises (@p322)) % 60.85/61.09 (step-pop @p448 :rule scope :premises (@p447)) % 60.85/61.09 (step @p323 :rule process_scope :premises (@p448) :args (@t133)) % 60.85/61.09 (assume-push @p449 @t65) % 60.85/61.09 (assume-push @p450 @t135) % 60.85/61.09 (step @p328 :rule symm :premises (@p17)) % 60.85/61.09 (step @p329 :rule trans :premises (@p328 @p443)) % 60.85/61.09 (step-pop @p451 :rule scope :premises (@p329)) % 60.85/61.09 (step-pop @p452 :rule scope :premises (@p451)) % 60.85/61.09 (step @p330 :rule process_scope :premises (@p452) :args (@t136)) % 60.85/61.09 (step @p333 :rule and_intro :premises (@p443 @p17)) % 60.85/61.09 (step @p334 :rule modus_ponens :premises (@p333 @p330)) % 60.85/61.09 (step @p335 :rule and_intro :premises (@p444 @p334)) % 60.85/61.09 (step @p336 :rule modus_ponens :premises (@p335 @p323)) % 60.85/61.09 (assume-push @p453 @t135) % 60.85/61.09 (assume-push @p454 @t57) % 60.85/61.09 (assume-push @p455 @t137) % 60.85/61.09 (step @p103 :rule evaluate :args (@t80)) % 60.85/61.09 (step @p104 :rule refl :args (0)) % 60.85/61.09 (step @p340 :rule arith_poly_norm :args ((= @t140 -1))) % 60.85/61.09 (step @p341 :rule cong :premises (@p340 @p104) :args ((>= @t140 0))) % 60.85/61.09 (step @p342 :rule trans :premises (@p341 @p103)) % 60.85/61.09 (step @p343 :rule arith-geq-norm1-int :args (@t139 @t138)) % 60.85/61.09 (step @p344 :rule trans :premises (@p343 @p342)) % 60.85/61.09 (step @p345 :rule arith-elim-leq :args (@t138 @t139)) % 60.85/61.09 (step @p346 :rule trans :premises (@p345 @p344)) % 60.85/61.09 (step @p347 :rule arith_poly_norm :args ((= @t141 @t139))) % 60.85/61.09 (step @p348 :rule arith_poly_norm :args ((= @t143 @t138))) % 60.85/61.09 (step @p349 :rule arith_poly_norm :args ((= @t145 @t143))) % 60.85/61.09 (step @p350 :rule trans :premises (@p349 @p348)) % 60.85/61.09 (step @p351 :rule cong :premises (@p350 @p347) :args ((<= @t145 @t141))) % 60.85/61.09 (step @p352 :rule trans :premises (@p351 @p346)) % 60.85/61.09 (step @p353 :rule arith_poly_norm :args ((= (* 1 (- @t144 -1)) (* 1 @t55)))) % 60.85/61.09 (step @p354 :rule arith_poly_norm_rel :premises (@p353) :args ((= (= @t144 -1) @t57))) % 60.85/61.09 (step @p355 :rule symm :premises (@p354)) % 60.85/61.09 (step @p356 :rule eq_resolve :premises (@p60 @p355)) % 60.85/61.09 (step @p357 :rule arith_mult_neg :args (-1 @t137)) % 60.85/61.09 (step @p123 :rule evaluate :args (@t92)) % 60.85/61.09 (step @p124 :rule true_elim :premises (@p123)) % 60.85/61.09 (step @p358 :rule and_intro :premises (@p124 @p455)) % 60.85/61.09 (step @p359 :rule modus_ponens :premises (@p358 @p357)) % 60.85/61.09 (step @p360 :rule arith_sum_ub :premises (@p359 @p356)) % 60.85/61.09 (step @p361 false :rule eq_resolve :premises (@p360 @p352)) % 60.85/61.09 (step-pop @p456 :rule scope :premises (@p361)) % 60.85/61.09 (step @p362 :rule process_scope :premises (@p456) :args (false)) % 60.85/61.09 (step @p364 :rule false_intro :premises (@p362)) % 60.85/61.09 (step @p365 :rule refl :args (@t52)) % 60.85/61.09 (step @p328 :rule symm :premises (@p17)) % 60.85/61.09 (step @p366 :rule cong :premises (@p328 @p365) :args (@t133)) % 60.85/61.09 (step @p367 :rule trans :premises (@p366 @p364)) % 60.85/61.09 (step @p368 :rule false_elim :premises (@p367)) % 60.85/61.09 (step-pop @p457 :rule scope :premises (@p368)) % 60.85/61.09 (step-pop @p458 :rule scope :premises (@p457)) % 60.85/61.09 (step @p369 :rule process_scope :premises (@p458) :args (@t134)) % 60.85/61.09 (step @p372 :rule and_intro :premises (@p17 @p60)) % 60.85/61.09 (step @p373 :rule modus_ponens :premises (@p372 @p369)) % 60.85/61.09 (step @p374 :rule and_intro :premises (@p373 @p336)) % 60.85/61.09 (step-pop @p459 :rule scope :premises (@p374)) % 60.85/61.09 (step-pop @p460 :rule scope :premises (@p459)) % 60.85/61.09 (step-pop @p461 :rule scope :premises (@p460)) % 60.85/61.09 (step-pop @p462 :rule scope :premises (@p461)) % 60.85/61.09 (step @p375 :rule process_scope :premises (@p462) :args (@t146)) % 60.85/61.09 (step @p380 :rule implies_elim :premises (@p375)) % 60.85/61.09 (step @p381 :rule resolution :premises (@p380 @p312) :args (true @t146)) % 60.85/61.09 (step @p382 :rule not_and :premises (@p381)) % 60.85/61.09 (step @p383 :rule reordering :premises (@p382) :args ((or (not @t135) (not @t57) (not @t131) (not @t65)))) % 60.85/61.09 (step @p384 false :rule chain_m_resolution :premises (@p383 @p303 @p152 @p60 @p17) :args (false (@list false false false false) (@list @t131 @t65 @t57 @t135))) % 60.85/61.09 ) % 60.85/61.09 % SZS output end Proof % 60.85/61.09 % cvc5 exiting %------------------------------------------------------------------------------