%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT089_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 : 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 08:14:30 AM UTC 2026 % Result : Theorem 0.45s 61.37s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT089_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 % 0.17/0.34 % 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 22:28:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_ARI % 0.45/61.37 --- Run --finite-model-find --decision=internal at 45... % 0.45/61.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.45/61.37 --- Run --no-e-matching --full-saturate-quant at 45... % 0.45/61.37 % SZS status Theorem % 0.45/61.37 % SZS output start Proof % 0.45/61.37 ( % 0.45/61.37 (declare-sort tptp.list 0) % 0.45/61.37 (declare-const tptp.count (-> Int tptp.list Int)) % 0.45/61.37 (declare-const tptp.length (-> tptp.list Int)) % 0.45/61.37 (declare-const tptp.inRange (-> Int tptp.list Bool)) % 0.45/61.37 (declare-const tptp.in (-> Int tptp.list Bool)) % 0.45/61.37 (declare-const tptp.nil tptp.list) % 0.45/61.37 (declare-const tptp.append (-> tptp.list tptp.list tptp.list)) % 0.45/61.37 (declare-const tptp.tail (-> tptp.list tptp.list)) % 0.45/61.37 (declare-const tptp.head (-> tptp.list Int)) % 0.45/61.37 (declare-const tptp.cons (-> Int tptp.list tptp.list)) % 0.45/61.37 (define @t1 () (@var "K" Int)) % 0.45/61.37 (define @t2 () (@var "L" tptp.list)) % 0.45/61.37 (define @t3 () (tptp.cons @t1 @t2)) % 0.45/61.37 (define @t4 () (@list @t1 @t2)) % 0.45/61.37 (define @t5 () (= @t2 tptp.nil)) % 0.45/61.37 (define @t6 () (@list @t2)) % 0.45/61.37 (define @t7 () (@var "T" tptp.list)) % 0.45/61.37 (define @t8 () (@var "X" Int)) % 0.45/61.37 (define @t9 () (@var "H" Int)) % 0.45/61.37 (define @t10 () (tptp.cons @t9 @t7)) % 0.45/61.37 (define @t11 () (= @t2 @t10)) % 0.45/61.37 (define @t12 () (@list @t9 @t7)) % 0.45/61.37 (define @t13 () (@var "N" Int)) % 0.45/61.37 (define @t14 () (@list @t13 @t2)) % 0.45/61.37 (define @t15 () (tptp.length tptp.nil)) % 0.45/61.37 (define @t16 () (= @t15 0)) % 0.45/61.37 (define @t17 () (forall @t12 (= (tptp.length @t10) (+ 1 (tptp.length @t7))))) % 0.45/61.37 (define @t18 () (tptp.count @t1 @t7)) % 0.45/61.37 (define @t19 () (tptp.count @t1 @t10)) % 0.45/61.37 (define @t20 () (= @t19 @t18)) % 0.45/61.37 (define @t21 () (= @t1 @t9)) % 0.45/61.37 (define @t22 () (not @t21)) % 0.45/61.37 (define @t23 () (@list @t1 @t9 @t7 @t13)) % 0.45/61.37 (define @t24 () (forall @t23 (=> @t22 @t20))) % 0.45/61.37 (define @t25 () (@var "K" tptp.list)) % 0.45/61.37 (define @t26 () (@var "I" Int)) % 0.45/61.37 (define @t27 () (tptp.count @t13 @t2)) % 0.45/61.37 (define @t28 () (tptp.length @t2)) % 0.45/61.37 (define @t29 () (>= @t27 @t28)) % 0.45/61.37 (define @t30 () (forall @t14 @t29)) % 0.45/61.37 (define @t31 () (tptp.cons 0 tptp.nil)) % 0.45/61.37 (define @t32 () (tptp.length @t31)) % 0.45/61.37 (define @t33 () (+ -1 @t32)) % 0.45/61.37 (define @t34 () (- @t15 @t33)) % 0.45/61.37 (define @t35 () (+ 1 @t15)) % 0.45/61.37 (define @t36 () (= @t15 @t33)) % 0.45/61.37 (define @t37 () (= @t32 @t35)) % 0.45/61.37 (define @t38 () (@list false)) % 0.45/61.37 (define @t39 () (+ @t27 (* -1 @t28))) % 0.45/61.37 (define @t40 () (>= @t39 0)) % 0.45/61.37 (define @t41 () (tptp.count @t32 @t31)) % 0.45/61.37 (define @t42 () (* -1 @t32)) % 0.45/61.37 (define @t43 () (+ @t42 @t41)) % 0.45/61.37 (define @t44 () (* -1 @t41)) % 0.45/61.37 (define @t45 () (+ @t32 @t44)) % 0.45/61.37 (define @t46 () (+ @t45 1)) % 0.45/61.37 (define @t47 () (+ @t41 @t42)) % 0.45/61.37 (define @t48 () (>= @t47 0)) % 0.45/61.37 (define @t49 () (forall @t14 @t40)) % 0.45/61.37 (define @t50 () (>= @t45 1)) % 0.45/61.37 (define @t51 () (not @t50)) % 0.45/61.37 (define @t52 () (@list @t49)) % 0.45/61.37 (define @t53 () (or @t21 @t20)) % 0.45/61.37 (define @t54 () (forall (@list @t1 @t9 @t7) @t53)) % 0.45/61.37 (define @t55 () (tptp.count @t32 tptp.nil)) % 0.45/61.37 (define @t56 () (= @t55 @t41)) % 0.45/61.37 (define @t57 () (= @t41 @t55)) % 0.45/61.37 (define @t58 () (= @t32 0)) % 0.45/61.37 (define @t59 () (or @t58 @t57)) % 0.45/61.37 (define @t60 () (or @t58 @t56)) % 0.45/61.37 (define @t61 () (= 0 @t32)) % 0.45/61.37 (define @t62 () (not @t61)) % 0.45/61.37 (define @t63 () (not @t58)) % 0.45/61.37 (define @t64 () (= @t15 @t32)) % 0.45/61.37 (define @t65 () (+ -1 @t42)) % 0.45/61.37 (define @t66 () (- @t65 @t42)) % 0.45/61.37 (define @t67 () (+ @t42 -1)) % 0.45/61.37 (define @t68 () (* -1 @t15)) % 0.45/61.37 (define @t69 () (+ @t42 @t68 @t15)) % 0.45/61.37 (define @t70 () (+ @t15 @t42)) % 0.45/61.37 (define @t71 () (+ @t68 @t70)) % 0.45/61.37 (define @t72 () (= (* 1 (- @t70 -1)) (* 1 @t34))) % 0.45/61.37 (define @t73 () (= (= @t70 -1) @t36)) % 0.45/61.37 (define @t74 () (< -1 0)) % 0.45/61.37 (define @t75 () (and @t16 @t36)) % 0.45/61.37 (define @t76 () (not @t56)) % 0.45/61.37 (define @t77 () (= @t55 0)) % 0.45/61.37 (define @t78 () (not @t77)) % 0.45/61.37 (define @t79 () (not @t36)) % 0.45/61.37 (define @t80 () (not @t16)) % 0.45/61.37 (define @t81 () (= 0 @t41)) % 0.45/61.37 (define @t82 () (< @t45 1)) % 0.45/61.37 (define @t83 () (* -1 0)) % 0.45/61.37 (define @t84 () (+ 1 -1 @t83 0)) % 0.45/61.37 (define @t85 () (+ @t44 @t41 @t42 @t68 @t32 @t15)) % 0.45/61.37 (define @t86 () (+ @t45 @t70 @t68 @t41)) % 0.45/61.37 (define @t87 () (>= @t86 @t84)) % 0.45/61.37 (define @t88 () (and @t81 @t16 @t36 @t51)) % 0.45/61.37 (assume @p1 (forall @t4 (= (tptp.head @t3) @t1))) % 0.45/61.37 (assume @p2 (forall @t4 (= (tptp.tail @t3) @t2))) % 0.45/61.37 (assume @p3 (forall @t6 (or @t5 (= @t2 (tptp.cons (tptp.head @t2) (tptp.tail @t2)))))) % 0.45/61.37 (assume @p4 (forall @t4 (not (= @t3 tptp.nil)))) % 0.45/61.37 (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))))))) % 0.45/61.37 (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))))))) % 0.45/61.37 (assume @p7 @t16) % 0.45/61.37 (assume @p8 @t17) % 0.45/61.37 (assume @p9 (forall (@list @t1) (= (tptp.count @t1 tptp.nil) 0))) % 0.45/61.37 (assume @p10 @t24) % 0.45/61.37 (assume @p11 (forall @t23 (=> @t21 (= @t19 (+ @t18 1))))) % 0.45/61.37 (assume @p12 (forall @t6 (= (tptp.append tptp.nil @t2) @t2))) % 0.45/61.37 (assume @p13 (forall (@list @t26 @t25 @t2) (= (tptp.append (tptp.cons @t26 @t25) @t2) (tptp.cons @t26 (tptp.append @t25 @t2))))) % 0.45/61.37 (assume @p14 (forall @t14 (= (tptp.in @t13 @t2) (> @t27 0)))) % 0.45/61.37 (assume @p15 (not (not @t30))) % 0.45/61.37 (assume @p16 true) % 0.45/61.37 (step @p17 :rule arith_poly_norm :args ((= (* 1 (- @t32 @t35)) (* -1 @t34)))) % 0.45/61.37 (step @p18 :rule arith_poly_norm_rel :premises (@p17) :args ((= @t37 @t36))) % 0.45/61.37 (step @p19 :rule refl :args (@t17)) % 0.45/61.37 (step @p20 :rule cong :premises (@p19 @p18) :args ((=> @t17 @t37))) % 0.45/61.37 (assume-push @p213 @t17) % 0.45/61.37 (step @p22 :rule instantiate :premises (@p8) :args ((@list 0 tptp.nil))) % 0.45/61.37 (step-pop @p214 :rule scope :premises (@p22)) % 0.45/61.37 (step @p23 :rule process_scope :premises (@p214) :args (@t37)) % 0.45/61.37 (step @p25 :rule eq_resolve :premises (@p23 @p20)) % 0.45/61.37 (step @p26 :rule implies_elim :premises (@p25)) % 0.45/61.37 (step @p27 :rule chain_m_resolution :premises (@p26 @p8) :args (@t36 @t38 (@list @t17))) % 0.45/61.37 (step @p28 :rule instantiate :premises (@p9) :args ((@list @t32))) % 0.45/61.37 (step @p29 :rule arith_poly_norm :args ((= (* 1 (- @t27 @t28)) (* 1 (- @t39 0))))) % 0.45/61.37 (step @p30 :rule arith_poly_norm_rel :premises (@p29) :args ((= @t29 @t40))) % 0.45/61.37 (step @p31 :rule cong :premises (@p30) :args (@t30)) % 0.45/61.37 (step @p32 :rule bool-double-not-elim :args (@t30)) % 0.45/61.37 (step @p33 :rule trans :premises (@p32 @p31)) % 0.45/61.37 (step @p34 :rule eq_resolve :premises (@p15 @p33)) % 0.45/61.37 (step @p35 :rule arith_poly_norm :args ((= (* -1 (- 1 @t46)) (* -1 (- @t43 0))))) % 0.45/61.37 (step @p36 :rule arith_poly_norm_rel :premises (@p35) :args ((= (>= 1 @t46) (>= @t43 0)))) % 0.45/61.37 (step @p37 :rule arith-geq-tighten :args (@t45 1)) % 0.45/61.37 (step @p38 :rule trans :premises (@p37 @p36)) % 0.45/61.37 (step @p39 :rule symm :premises (@p38)) % 0.45/61.37 (step @p40 :rule refl :args (0)) % 0.45/61.37 (step @p41 :rule arith_poly_norm :args ((= @t47 @t43))) % 0.45/61.37 (step @p42 :rule cong :premises (@p41 @p40) :args (@t48)) % 0.45/61.37 (step @p43 :rule trans :premises (@p42 @p39)) % 0.45/61.37 (step @p44 :rule refl :args (@t49)) % 0.45/61.37 (step @p45 :rule cong :premises (@p44 @p43) :args ((=> @t49 @t48))) % 0.45/61.37 (assume-push @p215 @t49) % 0.45/61.37 (step @p47 :rule instantiate :premises (@p34) :args ((@list @t32 @t31))) % 0.45/61.37 (step-pop @p216 :rule scope :premises (@p47)) % 0.45/61.37 (step @p48 :rule process_scope :premises (@p216) :args (@t48)) % 0.45/61.37 (step @p50 :rule eq_resolve :premises (@p48 @p45)) % 0.45/61.37 (step @p51 :rule implies_elim :premises (@p50)) % 0.45/61.37 (step @p52 :rule chain_m_resolution :premises (@p51 @p34) :args (@t51 @t38 @t52)) % 0.45/61.37 (step @p53 :rule quant-unused-vars :args ((= (forall @t23 @t53) @t54))) % 0.45/61.37 (step @p54 :rule refl :args (@t20)) % 0.45/61.37 (step @p55 :rule bool-double-not-elim :args (@t21)) % 0.45/61.37 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or (not @t22) @t20))) % 0.45/61.37 (step @p57 :rule bool-impl-elim :args (@t22 @t20)) % 0.45/61.37 (step @p58 :rule trans :premises (@p57 @p56)) % 0.45/61.37 (step @p59 :rule cong :premises (@p58) :args (@t24)) % 0.45/61.37 (step @p60 :rule trans :premises (@p59 @p53)) % 0.45/61.37 (step @p61 :rule eq_resolve :premises (@p10 @p60)) % 0.45/61.37 (step @p62 :rule arith_poly_norm :args ((= (* 1 (- @t41 @t55)) (* -1 (- @t55 @t41))))) % 0.45/61.37 (step @p63 :rule arith_poly_norm_rel :premises (@p62) :args ((= @t57 @t56))) % 0.45/61.37 (step @p64 :rule refl :args (@t58)) % 0.45/61.37 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t59)) % 0.45/61.37 (step @p66 :rule refl :args (@t54)) % 0.45/61.37 (step @p67 :rule cong :premises (@p66 @p65) :args ((=> @t54 @t59))) % 0.45/61.37 (assume-push @p217 @t54) % 0.45/61.37 (step @p69 :rule instantiate :premises (@p61) :args ((@list @t32 0 tptp.nil))) % 0.45/61.37 (step-pop @p218 :rule scope :premises (@p69)) % 0.45/61.37 (step @p70 :rule process_scope :premises (@p218) :args (@t59)) % 0.45/61.37 (step @p72 :rule eq_resolve :premises (@p70 @p67)) % 0.45/61.37 (step @p73 :rule implies_elim :premises (@p72)) % 0.45/61.37 (step @p74 :rule chain_m_resolution :premises (@p73 @p61) :args (@t60 @t38 (@list @t54))) % 0.45/61.37 (assume-push @p219 @t16) % 0.45/61.37 (assume-push @p220 @t36) % 0.45/61.37 (assume-push @p221 @t62) % 0.45/61.37 (step @p78 :rule symm :premises (@p221)) % 0.45/61.37 (step-pop @p222 :rule scope :premises (@p78)) % 0.45/61.37 (step @p79 :rule process_scope :premises (@p222) :args (@t63)) % 0.45/61.37 (assume-push @p223 @t16) % 0.45/61.37 (assume-push @p224 @t36) % 0.45/61.37 (assume-push @p225 @t64) % 0.45/61.37 (step @p84 :rule evaluate :args ((>= -1 0))) % 0.45/61.37 (step @p85 :rule refl :args (0)) % 0.45/61.37 (step @p86 :rule arith_poly_norm :args ((= @t66 -1))) % 0.45/61.37 (step @p87 :rule cong :premises (@p86 @p85) :args ((>= @t66 0))) % 0.45/61.37 (step @p88 :rule trans :premises (@p87 @p84)) % 0.45/61.37 (step @p89 :rule arith-geq-norm1-int :args (@t65 @t42)) % 0.45/61.37 (step @p90 :rule trans :premises (@p89 @p88)) % 0.45/61.37 (step @p91 :rule arith-elim-leq :args (@t42 @t65)) % 0.45/61.37 (step @p92 :rule trans :premises (@p91 @p90)) % 0.45/61.37 (step @p93 :rule arith_poly_norm :args ((= @t67 @t65))) % 0.45/61.37 (step @p94 :rule arith_poly_norm :args ((= @t69 @t42))) % 0.45/61.37 (step @p95 :rule arith_poly_norm :args ((= @t71 @t69))) % 0.45/61.37 (step @p96 :rule trans :premises (@p95 @p94)) % 0.45/61.37 (step @p97 :rule cong :premises (@p96 @p93) :args ((<= @t71 @t67))) % 0.45/61.37 (step @p98 :rule trans :premises (@p97 @p92)) % 0.45/61.37 (step @p99 :rule arith_poly_norm :args (@t72)) % 0.45/61.37 (step @p100 :rule arith_poly_norm_rel :premises (@p99) :args (@t73)) % 0.45/61.37 (step @p101 :rule symm :premises (@p100)) % 0.45/61.37 (step @p102 :rule eq_resolve :premises (@p27 @p101)) % 0.45/61.37 (step @p103 :rule arith_mult_neg :args (-1 @t64)) % 0.45/61.37 (step @p104 :rule evaluate :args (@t74)) % 0.45/61.37 (step @p105 :rule true_elim :premises (@p104)) % 0.45/61.37 (step @p106 :rule and_intro :premises (@p105 @p225)) % 0.45/61.37 (step @p107 :rule modus_ponens :premises (@p106 @p103)) % 0.45/61.37 (step @p108 :rule arith_sum_ub :premises (@p107 @p102)) % 0.45/61.37 (step @p109 false :rule eq_resolve :premises (@p108 @p98)) % 0.45/61.37 (step-pop @p226 :rule scope :premises (@p109)) % 0.45/61.37 (step @p110 :rule process_scope :premises (@p226) :args (false)) % 0.45/61.37 (step @p112 :rule false_intro :premises (@p110)) % 0.45/61.37 (step @p113 :rule refl :args (@t32)) % 0.45/61.37 (step @p114 :rule symm :premises (@p7)) % 0.45/61.37 (step @p115 :rule cong :premises (@p114 @p113) :args (@t61)) % 0.45/61.37 (step @p116 :rule trans :premises (@p115 @p112)) % 0.45/61.37 (step @p117 :rule false_elim :premises (@p116)) % 0.45/61.37 (step-pop @p227 :rule scope :premises (@p117)) % 0.45/61.37 (step-pop @p228 :rule scope :premises (@p227)) % 0.45/61.37 (step @p118 :rule process_scope :premises (@p228) :args (@t62)) % 0.45/61.37 (step @p121 :rule and_intro :premises (@p7 @p27)) % 0.45/61.37 (step @p122 :rule modus_ponens :premises (@p121 @p118)) % 0.45/61.37 (step @p123 :rule modus_ponens :premises (@p122 @p79)) % 0.45/61.37 (step-pop @p229 :rule scope :premises (@p123)) % 0.45/61.37 (step-pop @p230 :rule scope :premises (@p229)) % 0.45/61.37 (step @p124 :rule process_scope :premises (@p230) :args (@t63)) % 0.45/61.37 (step @p127 :rule implies_elim :premises (@p124)) % 0.45/61.37 (step @p128 :rule cnf_and_neg :args (@t75)) % 0.45/61.37 (step @p129 :rule resolution :premises (@p128 @p127) :args (true @t75)) % 0.45/61.37 (step @p130 :rule chain_m_resolution :premises (@p129 @p7 @p27) :args (@t63 (@list false false) (@list @t16 @t36))) % 0.45/61.37 (step @p131 :rule cnf_or_pos :args (@t60)) % 0.45/61.37 (step @p132 :rule reordering :premises (@p131) :args ((or @t58 @t56 (not @t60)))) % 0.45/61.37 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p74) :args (@t56 (@list true false) (@list @t58 @t60))) % 0.45/61.37 (step @p134 :rule bool-double-not-elim :args (@t50)) % 0.45/61.37 (step @p135 :rule refl :args (@t76)) % 0.45/61.37 (step @p136 :rule refl :args (@t78)) % 0.45/61.37 (step @p137 :rule refl :args (@t79)) % 0.45/61.37 (step @p138 :rule refl :args (@t80)) % 0.45/61.37 (step @p139 :rule nary_cong :premises (@p138 @p137 @p136 @p135 @p134) :args ((or @t80 @t79 @t78 @t76 (not @t51)))) % 0.45/61.37 (assume-push @p231 @t81) % 0.45/61.37 (assume-push @p232 @t16) % 0.45/61.37 (assume-push @p233 @t36) % 0.45/61.37 (assume-push @p234 @t51) % 0.45/61.37 (step @p144 :rule arith-elim-lt :args (@t45 1)) % 0.45/61.37 (step @p145 :rule cong :premises (@p144) :args ((not @t82))) % 0.45/61.37 (step @p146 :rule trans :premises (@p145 @p134)) % 0.45/61.37 (step @p147 :rule symm :premises (@p146)) % 0.45/61.37 (assume-push @p235 @t82) % 0.45/61.37 (step @p149 :rule evaluate :args ((not true))) % 0.45/61.37 (step @p150 :rule evaluate :args ((>= 0 0))) % 0.45/61.37 (step @p151 :rule evaluate :args ((+ 1 -1 0 0))) % 0.45/61.37 (step @p152 :rule evaluate :args (@t83)) % 0.45/61.37 (step @p153 :rule refl :args (-1)) % 0.45/61.37 (step @p154 :rule refl :args (1)) % 0.45/61.37 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152 @p40) :args (@t84)) % 0.45/61.37 (step @p156 :rule trans :premises (@p155 @p151)) % 0.45/61.37 (step @p157 :rule arith_poly_norm :args ((= @t85 0))) % 0.45/61.37 (step @p158 :rule arith_poly_norm :args ((= @t86 @t85))) % 0.45/61.37 (step @p159 :rule trans :premises (@p158 @p157)) % 0.45/61.37 (step @p160 :rule cong :premises (@p159 @p156) :args (@t87)) % 0.45/61.37 (step @p161 :rule trans :premises (@p160 @p150)) % 0.45/61.37 (step @p162 :rule cong :premises (@p161) :args ((not @t87))) % 0.45/61.37 (step @p163 :rule trans :premises (@p162 @p149)) % 0.45/61.37 (step @p164 :rule arith-elim-lt :args (@t86 @t84)) % 0.45/61.37 (step @p165 :rule trans :premises (@p164 @p163)) % 0.45/61.37 (step @p166 :rule symm :premises (@p231)) % 0.45/61.37 (step @p167 :rule arith_mult_neg :args (-1 @t16)) % 0.45/61.37 (step @p104 :rule evaluate :args (@t74)) % 0.45/61.37 (step @p105 :rule true_elim :premises (@p104)) % 0.45/61.37 (step @p168 :rule and_intro :premises (@p105 @p7)) % 0.45/61.37 (step @p169 :rule modus_ponens :premises (@p168 @p167)) % 0.45/61.37 (step @p99 :rule arith_poly_norm :args (@t72)) % 0.45/61.37 (step @p100 :rule arith_poly_norm_rel :premises (@p99) :args (@t73)) % 0.45/61.37 (step @p101 :rule symm :premises (@p100)) % 0.45/61.37 (step @p102 :rule eq_resolve :premises (@p27 @p101)) % 0.45/61.37 (step @p170 :rule symm :premises (@p144)) % 0.45/61.37 (step @p171 :rule chain_m_resolution :premises (@p51 @p34) :args (@t51 @t38 @t52)) % 0.45/61.37 (step @p172 :rule eq_resolve :premises (@p171 @p170)) % 0.45/61.37 (step @p173 :rule arith_sum_ub :premises (@p172 @p102 @p169 @p166)) % 0.45/61.37 (step @p174 false :rule eq_resolve :premises (@p173 @p165)) % 0.45/61.37 (step-pop @p236 :rule scope :premises (@p174)) % 0.45/61.37 (step @p175 :rule process_scope :premises (@p236) :args (false)) % 0.45/61.37 (step @p177 :rule eq_resolve :premises (@p175 @p146)) % 0.45/61.37 (step @p178 :rule eq_resolve :premises (@p177 @p147)) % 0.45/61.37 (step @p170 :rule symm :premises (@p144)) % 0.45/61.37 (step @p179 :rule eq_resolve :premises (@p52 @p170)) % 0.45/61.37 (step @p180 false :rule contra :premises (@p179 @p178)) % 0.45/61.37 (step-pop @p237 :rule scope :premises (@p180)) % 0.45/61.37 (step-pop @p238 :rule scope :premises (@p237)) % 0.45/61.37 (step-pop @p239 :rule scope :premises (@p238)) % 0.45/61.37 (step-pop @p240 :rule scope :premises (@p239)) % 0.45/61.37 (step @p181 :rule process_scope :premises (@p240) :args (false)) % 0.45/61.37 (assume-push @p241 @t16) % 0.45/61.37 (assume-push @p242 @t36) % 0.45/61.37 (assume-push @p243 @t77) % 0.45/61.37 (assume-push @p244 @t56) % 0.45/61.37 (assume-push @p245 @t51) % 0.45/61.37 (assume-push @p246 @t56) % 0.45/61.37 (assume-push @p247 @t77) % 0.45/61.37 (step @p193 :rule symm :premises (@p28)) % 0.45/61.37 (step @p194 :rule trans :premises (@p193 @p244)) % 0.45/61.37 (step-pop @p248 :rule scope :premises (@p194)) % 0.45/61.37 (step-pop @p249 :rule scope :premises (@p248)) % 0.45/61.37 (step @p195 :rule process_scope :premises (@p249) :args (@t81)) % 0.45/61.37 (step @p198 :rule and_intro :premises (@p244 @p28)) % 0.45/61.37 (step @p199 :rule modus_ponens :premises (@p198 @p195)) % 0.45/61.37 (step @p200 :rule and_intro :premises (@p199 @p7 @p27 @p52)) % 0.45/61.37 (step-pop @p250 :rule scope :premises (@p200)) % 0.45/61.37 (step-pop @p251 :rule scope :premises (@p250)) % 0.45/61.37 (step-pop @p252 :rule scope :premises (@p251)) % 0.45/61.37 (step-pop @p253 :rule scope :premises (@p252)) % 0.45/61.37 (step-pop @p254 :rule scope :premises (@p253)) % 0.45/61.37 (step @p201 :rule process_scope :premises (@p254) :args (@t88)) % 0.45/61.37 (step @p207 :rule implies_elim :premises (@p201)) % 0.45/61.37 (step @p208 :rule resolution :premises (@p207 @p181) :args (true @t88)) % 0.45/61.37 (step @p209 :rule not_and :premises (@p208)) % 0.45/61.37 (step @p210 :rule eq_resolve :premises (@p209 @p139)) % 0.45/61.37 (step @p211 :rule reordering :premises (@p210) :args ((or @t80 @t79 @t78 @t50 @t76))) % 0.45/61.37 (step @p212 false :rule chain_m_resolution :premises (@p211 @p133 @p52 @p28 @p27 @p7) :args (false (@list false true false false false) (@list @t56 @t50 @t77 @t36 @t16))) % 0.45/61.37 ) % 0.45/61.37 % SZS output end Proof % 0.45/61.37 % cvc5 exiting %------------------------------------------------------------------------------