%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT007_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 : n010.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 08:14:20 AM UTC 2026 % Result : Theorem 0.41s 0.61s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT007_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 : n010.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 22:25:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.48 %----Proving TF0_ARI % 0.41/0.61 --- Run --finite-model-find --decision=internal at 45... % 0.41/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.41/0.61 % SZS status Theorem % 0.41/0.61 % SZS output start Proof % 0.41/0.61 ( % 0.41/0.61 (declare-sort tptp.array 0) % 0.41/0.61 (declare-const tptp.read (-> tptp.array Int Int)) % 0.41/0.61 (declare-const tptp.write (-> tptp.array Int Int tptp.array)) % 0.41/0.61 (define @t1 () (@var "W" Int)) % 0.41/0.61 (define @t2 () (@var "V" Int)) % 0.41/0.61 (define @t3 () (@var "U" tptp.array)) % 0.41/0.61 (define @t4 () (tptp.read (tptp.write @t3 @t2 @t1) @t2)) % 0.41/0.61 (define @t5 () (= @t4 @t1)) % 0.41/0.61 (define @t6 () (@list @t3 @t2 @t1)) % 0.41/0.61 (define @t7 () (forall @t6 @t5)) % 0.41/0.61 (define @t8 () (@var "Z" Int)) % 0.41/0.61 (define @t9 () (@var "X" tptp.array)) % 0.41/0.61 (define @t10 () (@var "X1" Int)) % 0.41/0.61 (define @t11 () (@var "Y" Int)) % 0.41/0.61 (define @t12 () (forall (@list @t9 @t11 @t8 @t10) (or (= @t11 @t8) (= (tptp.read (tptp.write @t9 @t11 @t10) @t8) (tptp.read @t9 @t8))))) % 0.41/0.61 (define @t13 () (tptp.read @t3 @t1)) % 0.41/0.61 (define @t14 () (and (< @t13 40) (< 30 @t13))) % 0.41/0.61 (define @t15 () (@list @t1)) % 0.41/0.61 (define @t16 () (exists @t15 @t14)) % 0.41/0.61 (define @t17 () (@var "V" tptp.array)) % 0.41/0.61 (define @t18 () (tptp.write (tptp.write (tptp.write (tptp.write @t17 3 33) 4 444) 5 55) 4 44)) % 0.41/0.61 (define @t19 () (= @t3 @t18)) % 0.41/0.61 (define @t20 () (=> @t19 @t16)) % 0.41/0.61 (define @t21 () (@list @t3 @t17)) % 0.41/0.61 (define @t22 () (forall @t21 @t20)) % 0.41/0.61 (define @t23 () (not @t22)) % 0.41/0.61 (define @t24 () (tptp.read @t18 @t1)) % 0.41/0.61 (define @t25 () (not (forall @t15 (or (>= @t24 40) (not (>= @t24 31)))))) % 0.41/0.61 (define @t26 () (not (= @t18 @t18))) % 0.41/0.61 (define @t27 () (or @t26 @t25)) % 0.41/0.61 (define @t28 () (@list @t17)) % 0.41/0.61 (define @t29 () (>= @t13 31)) % 0.41/0.61 (define @t30 () (not @t29)) % 0.41/0.61 (define @t31 () (>= @t13 40)) % 0.41/0.61 (define @t32 () (not (forall @t15 (or @t31 @t30)))) % 0.41/0.61 (define @t33 () (not @t19)) % 0.41/0.61 (define @t34 () (or @t33 @t33 @t32)) % 0.41/0.61 (define @t35 () (@list @t3)) % 0.41/0.61 (define @t36 () (or @t33 @t32)) % 0.41/0.61 (define @t37 () (forall @t35 @t36)) % 0.41/0.61 (define @t38 () (forall @t28 @t37)) % 0.41/0.61 (define @t39 () (forall (@list @t17 @t3) @t36)) % 0.41/0.61 (define @t40 () (not @t31)) % 0.41/0.61 (define @t41 () (and @t40 @t29)) % 0.41/0.61 (define @t42 () (forall @t15 (not @t41))) % 0.41/0.61 (define @t43 () (not @t42)) % 0.41/0.61 (define @t44 () (+ @t13 1)) % 0.41/0.61 (define @t45 () (>= 30 @t13)) % 0.41/0.61 (define @t46 () (forall @t28 @t25)) % 0.41/0.61 (define @t47 () (@quantifiers_skolemize @t46 0)) % 0.41/0.61 (define @t48 () (tptp.write @t47 3 33)) % 0.41/0.61 (define @t49 () (tptp.write @t48 4 444)) % 0.41/0.61 (define @t50 () (tptp.write @t49 5 55)) % 0.41/0.61 (define @t51 () (tptp.write @t50 4 44)) % 0.41/0.61 (define @t52 () (tptp.read @t51 @t1)) % 0.41/0.61 (define @t53 () (forall @t15 (or (>= @t52 40) (not (>= @t52 31))))) % 0.41/0.61 (define @t54 () (not @t46)) % 0.41/0.61 (define @t55 () (not (not @t53))) % 0.41/0.61 (define @t56 () (tptp.read @t49 3)) % 0.41/0.61 (define @t57 () (tptp.read @t48 3)) % 0.41/0.61 (define @t58 () (= @t57 @t56)) % 0.41/0.61 (define @t59 () (= @t56 @t57)) % 0.41/0.61 (define @t60 () (= 4 3)) % 0.41/0.61 (define @t61 () (or @t60 @t59)) % 0.41/0.61 (define @t62 () (@list false)) % 0.41/0.61 (define @t63 () (@list @t12)) % 0.41/0.61 (define @t64 () (tptp.read @t50 3)) % 0.41/0.61 (define @t65 () (= @t64 @t56)) % 0.41/0.61 (define @t66 () (= 5 3)) % 0.41/0.61 (define @t67 () (or @t66 @t65)) % 0.41/0.61 (define @t68 () (tptp.read @t51 3)) % 0.41/0.61 (define @t69 () (= @t68 @t64)) % 0.41/0.61 (define @t70 () (or @t60 @t69)) % 0.41/0.61 (define @t71 () (= @t1 @t4)) % 0.41/0.61 (define @t72 () (= @t57 33)) % 0.41/0.61 (define @t73 () (= 33 @t57)) % 0.41/0.61 (define @t74 () (forall @t6 @t71)) % 0.41/0.61 (define @t75 () (@list @t47 3 33)) % 0.41/0.61 (define @t76 () (= 33 @t68)) % 0.41/0.61 (define @t77 () (>= @t68 31)) % 0.41/0.61 (define @t78 () (< @t68 31)) % 0.41/0.61 (define @t79 () (* -1 33)) % 0.41/0.61 (define @t80 () (+ 31 @t79)) % 0.41/0.61 (define @t81 () (* -1 @t68)) % 0.41/0.61 (define @t82 () (+ @t68 @t81)) % 0.41/0.61 (define @t83 () (>= @t82 @t80)) % 0.41/0.61 (define @t84 () (< -1 0)) % 0.41/0.61 (define @t85 () (and @t72 @t69 @t65 @t58)) % 0.41/0.61 (define @t86 () (not @t58)) % 0.41/0.61 (define @t87 () (not @t65)) % 0.41/0.61 (define @t88 () (not @t69)) % 0.41/0.61 (define @t89 () (not @t72)) % 0.41/0.61 (define @t90 () (@list false false false false)) % 0.41/0.61 (define @t91 () (@list @t72 @t69 @t65 @t58)) % 0.41/0.61 (define @t92 () (>= @t68 40)) % 0.41/0.61 (define @t93 () (* -1 40)) % 0.41/0.61 (define @t94 () (+ @t93 33)) % 0.41/0.61 (define @t95 () (+ @t81 @t68)) % 0.41/0.61 (define @t96 () (not @t92)) % 0.41/0.61 (define @t97 () (not @t77)) % 0.41/0.61 (define @t98 () (or @t92 @t97)) % 0.41/0.61 (assume @p1 @t7) % 0.41/0.61 (assume @p2 @t12) % 0.41/0.61 (assume @p3 @t23) % 0.41/0.61 (assume @p4 true) % 0.41/0.61 (step @p5 :rule aci_norm :args ((= (or false @t25) @t25))) % 0.41/0.61 (step @p6 :rule refl :args (@t25)) % 0.41/0.61 (step @p7 :rule evaluate :args ((not true))) % 0.41/0.61 (step @p8 :rule eq-refl :args (@t18)) % 0.41/0.61 (step @p9 :rule cong :premises (@p8) :args (@t26)) % 0.41/0.61 (step @p10 :rule trans :premises (@p9 @p7)) % 0.41/0.61 (step @p11 :rule nary_cong :premises (@p10 @p6) :args (@t27)) % 0.41/0.61 (step @p12 :rule trans :premises (@p11 @p5)) % 0.41/0.61 (step @p13 :rule cong :premises (@p12) :args ((forall @t28 @t27))) % 0.41/0.61 (step @p14 :rule quant-var-elim-eq :args ((= (forall @t35 @t34) @t27))) % 0.41/0.61 (step @p15 :rule aci_norm :args ((= @t36 @t34))) % 0.41/0.61 (step @p16 :rule cong :premises (@p15) :args (@t37)) % 0.41/0.61 (step @p17 :rule trans :premises (@p16 @p14)) % 0.41/0.61 (step @p18 :rule cong :premises (@p17) :args (@t38)) % 0.41/0.61 (step @p19 :rule quant-merge-prenex :args ((= @t38 @t39))) % 0.41/0.61 (step @p20 :rule symm :premises (@p19)) % 0.41/0.61 (step @p21 :rule quant_var_reordering :args ((= (forall @t21 @t36) @t39))) % 0.41/0.61 (step @p22 :rule trans :premises (@p21 @p20 @p18)) % 0.41/0.61 (step @p23 :rule trans :premises (@p22 @p13)) % 0.41/0.61 (step @p24 :rule bool-impl-elim :args (@t19 @t32)) % 0.41/0.61 (step @p25 :rule cong :premises (@p24) :args ((forall @t21 (=> @t19 @t32)))) % 0.41/0.61 (step @p26 :rule trans :premises (@p25 @p23)) % 0.41/0.61 (step @p27 :rule refl :args (@t30)) % 0.41/0.61 (step @p28 :rule bool-double-not-elim :args (@t31)) % 0.41/0.61 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or (not @t40) @t30))) % 0.41/0.61 (step @p30 :rule bool-and-de-morgan :args (@t40 @t29 true)) % 0.41/0.61 (step @p31 :rule trans :premises (@p30 @p29)) % 0.41/0.61 (step @p32 :rule cong :premises (@p31) :args (@t42)) % 0.41/0.61 (step @p33 :rule cong :premises (@p32) :args (@t43)) % 0.41/0.61 (step @p34 :rule exists-elim :args ((= (exists @t15 @t41) @t43))) % 0.41/0.61 (step @p35 :rule trans :premises (@p34 @p33)) % 0.41/0.61 (step @p36 :rule bool-double-not-elim :args (@t29)) % 0.41/0.61 (step @p37 :rule arith_poly_norm :args ((= (* 30 (- 31 @t44)) (* 30 (- 30 @t13))))) % 0.41/0.61 (step @p38 :rule arith_poly_norm_rel :premises (@p37) :args ((= (>= 31 @t44) @t45))) % 0.41/0.61 (step @p39 :rule arith-geq-tighten :args (@t13 31)) % 0.41/0.61 (step @p40 :rule trans :premises (@p39 @p38)) % 0.41/0.61 (step @p41 :rule symm :premises (@p40)) % 0.41/0.61 (step @p42 :rule cong :premises (@p41) :args ((not @t45))) % 0.41/0.61 (step @p43 :rule trans :premises (@p42 @p36)) % 0.41/0.61 (step @p44 :rule arith-elim-lt :args (30 @t13)) % 0.41/0.61 (step @p45 :rule trans :premises (@p44 @p43)) % 0.41/0.61 (step @p46 :rule arith-elim-lt :args (@t13 40)) % 0.41/0.61 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t14)) % 0.41/0.61 (step @p48 :rule cong :premises (@p47) :args (@t16)) % 0.41/0.61 (step @p49 :rule trans :premises (@p48 @p35)) % 0.41/0.61 (step @p50 :rule refl :args (@t19)) % 0.41/0.61 (step @p51 :rule cong :premises (@p50 @p49) :args (@t20)) % 0.41/0.61 (step @p52 :rule cong :premises (@p51) :args (@t22)) % 0.41/0.61 (step @p53 :rule trans :premises (@p52 @p26)) % 0.41/0.61 (step @p54 :rule cong :premises (@p53) :args (@t23)) % 0.41/0.61 (step @p55 :rule eq_resolve :premises (@p3 @p54)) % 0.41/0.61 (step @p56 :rule refl :args (@t53)) % 0.41/0.61 (step @p57 :rule bool-double-not-elim :args (@t46)) % 0.41/0.61 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or (not @t54) @t53))) % 0.41/0.61 (step @p59 :rule bool-double-not-elim :args (@t53)) % 0.41/0.61 (step @p60 :rule refl :args (@t54)) % 0.41/0.61 (step @p61 :rule cong :premises (@p60 @p59) :args ((=> @t54 @t55))) % 0.41/0.61 (assume-push @p219 @t54) % 0.41/0.61 (step @p63 :rule skolemize :premises (@p55)) % 0.41/0.61 (step-pop @p220 :rule scope :premises (@p63)) % 0.41/0.61 (step @p64 :rule process_scope :premises (@p220) :args (@t55)) % 0.41/0.61 (step @p66 :rule eq_resolve :premises (@p64 @p61)) % 0.41/0.61 (step @p67 :rule implies_elim :premises (@p66)) % 0.41/0.61 (step @p68 :rule eq_resolve :premises (@p67 @p58)) % 0.41/0.61 (step @p69 :rule chain_m_resolution :premises (@p68 @p55) :args (@t53 (@list true) (@list @t46))) % 0.41/0.61 (step @p70 :rule instantiate :premises (@p69) :args ((@list 3))) % 0.41/0.61 (step @p71 :rule aci_norm :args ((= (or false @t58) @t58))) % 0.41/0.61 (step @p72 :rule arith_poly_norm :args ((= (* 1 (- @t56 @t57)) (* -1 (- @t57 @t56))))) % 0.41/0.61 (step @p73 :rule arith_poly_norm_rel :premises (@p72) :args ((= @t59 @t58))) % 0.41/0.61 (step @p74 :rule evaluate :args (@t60)) % 0.41/0.61 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t61)) % 0.41/0.61 (step @p76 :rule trans :premises (@p75 @p71)) % 0.41/0.61 (step @p77 :rule refl :args (@t12)) % 0.41/0.61 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t12 @t61))) % 0.41/0.61 (assume-push @p221 @t12) % 0.41/0.61 (step @p80 :rule instantiate :premises (@p2) :args ((@list @t48 4 3 444))) % 0.41/0.61 (step-pop @p222 :rule scope :premises (@p80)) % 0.41/0.61 (step @p81 :rule process_scope :premises (@p222) :args (@t61)) % 0.41/0.61 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.41/0.61 (step @p84 :rule implies_elim :premises (@p83)) % 0.41/0.61 (step @p85 :rule chain_m_resolution :premises (@p84 @p2) :args (@t58 @t62 @t63)) % 0.41/0.61 (step @p86 :rule aci_norm :args ((= (or false @t65) @t65))) % 0.41/0.61 (step @p87 :rule refl :args (@t65)) % 0.41/0.61 (step @p88 :rule evaluate :args (@t66)) % 0.41/0.61 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t67)) % 0.41/0.61 (step @p90 :rule trans :premises (@p89 @p86)) % 0.41/0.61 (step @p91 :rule cong :premises (@p77 @p90) :args ((=> @t12 @t67))) % 0.41/0.61 (assume-push @p223 @t12) % 0.41/0.61 (step @p93 :rule instantiate :premises (@p2) :args ((@list @t49 5 3 55))) % 0.41/0.61 (step-pop @p224 :rule scope :premises (@p93)) % 0.41/0.61 (step @p94 :rule process_scope :premises (@p224) :args (@t67)) % 0.41/0.61 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 0.41/0.61 (step @p97 :rule implies_elim :premises (@p96)) % 0.41/0.61 (step @p98 :rule chain_m_resolution :premises (@p97 @p2) :args (@t65 @t62 @t63)) % 0.41/0.61 (step @p99 :rule aci_norm :args ((= (or false @t69) @t69))) % 0.41/0.61 (step @p100 :rule refl :args (@t69)) % 0.41/0.61 (step @p101 :rule nary_cong :premises (@p74 @p100) :args (@t70)) % 0.41/0.61 (step @p102 :rule trans :premises (@p101 @p99)) % 0.41/0.61 (step @p103 :rule cong :premises (@p77 @p102) :args ((=> @t12 @t70))) % 0.41/0.61 (assume-push @p225 @t12) % 0.41/0.61 (step @p105 :rule instantiate :premises (@p2) :args ((@list @t50 4 3 44))) % 0.41/0.61 (step-pop @p226 :rule scope :premises (@p105)) % 0.41/0.61 (step @p106 :rule process_scope :premises (@p226) :args (@t70)) % 0.41/0.61 (step @p108 :rule eq_resolve :premises (@p106 @p103)) % 0.41/0.61 (step @p109 :rule implies_elim :premises (@p108)) % 0.41/0.61 (step @p110 :rule chain_m_resolution :premises (@p109 @p2) :args (@t69 @t62 @t63)) % 0.41/0.61 (step @p111 :rule arith_poly_norm :args ((= (* 1 (- @t4 @t1)) (* -1 (- @t1 @t4))))) % 0.41/0.61 (step @p112 :rule arith_poly_norm_rel :premises (@p111) :args ((= @t5 @t71))) % 0.41/0.61 (step @p113 :rule cong :premises (@p112) :args (@t7)) % 0.41/0.61 (step @p114 :rule eq_resolve :premises (@p1 @p113)) % 0.41/0.61 (step @p115 :rule arith_poly_norm :args ((= (* -33 (- 33 @t57)) (* 33 (- @t57 33))))) % 0.41/0.61 (step @p116 :rule arith_poly_norm_rel :premises (@p115) :args ((= @t73 @t72))) % 0.41/0.61 (step @p117 :rule refl :args (@t74)) % 0.41/0.61 (step @p118 :rule cong :premises (@p117 @p116) :args ((=> @t74 @t73))) % 0.41/0.61 (assume-push @p227 @t74) % 0.41/0.61 (step @p120 :rule instantiate :premises (@p114) :args (@t75)) % 0.41/0.61 (step-pop @p228 :rule scope :premises (@p120)) % 0.41/0.61 (step @p121 :rule process_scope :premises (@p228) :args (@t73)) % 0.41/0.61 (step @p123 :rule eq_resolve :premises (@p121 @p118)) % 0.41/0.61 (step @p124 :rule implies_elim :premises (@p123)) % 0.41/0.61 (step @p125 :rule chain_m_resolution :premises (@p124 @p114) :args (@t72 @t62 (@list @t74))) % 0.41/0.61 (assume-push @p229 @t72) % 0.41/0.61 (assume-push @p230 @t69) % 0.41/0.61 (assume-push @p231 @t65) % 0.41/0.61 (assume-push @p232 @t58) % 0.41/0.61 (assume-push @p233 @t76) % 0.41/0.61 (step @p131 :rule bool-double-not-elim :args (@t77)) % 0.41/0.61 (step @p132 :rule arith-elim-lt :args (@t68 31)) % 0.41/0.61 (step @p133 :rule cong :premises (@p132) :args ((not @t78))) % 0.41/0.61 (step @p134 :rule trans :premises (@p133 @p131)) % 0.41/0.61 (assume-push @p234 @t78) % 0.41/0.61 (step @p136 :rule evaluate :args ((>= 0 -2))) % 0.41/0.61 (step @p137 :rule evaluate :args ((+ 31 -33))) % 0.41/0.61 (step @p138 :rule evaluate :args (@t79)) % 0.41/0.61 (step @p139 :rule refl :args (31)) % 0.41/0.61 (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t80)) % 0.41/0.61 (step @p141 :rule trans :premises (@p140 @p137)) % 0.41/0.61 (step @p142 :rule arith_poly_norm :args ((= @t82 0))) % 0.41/0.61 (step @p143 :rule cong :premises (@p142 @p141) :args (@t83)) % 0.41/0.61 (step @p144 :rule trans :premises (@p143 @p136)) % 0.41/0.61 (step @p145 :rule cong :premises (@p144) :args ((not @t83))) % 0.41/0.61 (step @p146 :rule trans :premises (@p145 @p7)) % 0.41/0.61 (step @p147 :rule arith-elim-lt :args (@t82 @t80)) % 0.41/0.61 (step @p148 :rule trans :premises (@p147 @p146)) % 0.41/0.61 (step @p149 :rule arith_mult_neg :args (-1 (= @t68 33))) % 0.41/0.61 (step @p150 :rule symm :premises (@p110)) % 0.41/0.61 (step @p151 :rule symm :premises (@p98)) % 0.41/0.61 (step @p120 :rule instantiate :premises (@p114) :args (@t75)) % 0.41/0.61 (step @p152 :rule trans :premises (@p120 @p85 @p151 @p150)) % 0.41/0.61 (step @p153 :rule symm :premises (@p152)) % 0.41/0.61 (step @p154 :rule evaluate :args (@t84)) % 0.41/0.61 (step @p155 :rule true_elim :premises (@p154)) % 0.41/0.61 (step @p156 :rule and_intro :premises (@p155 @p153)) % 0.41/0.61 (step @p157 :rule modus_ponens :premises (@p156 @p149)) % 0.41/0.61 (step @p158 :rule arith_sum_ub :premises (@p234 @p157)) % 0.41/0.61 (step @p159 false :rule eq_resolve :premises (@p158 @p148)) % 0.41/0.62 (step-pop @p235 :rule scope :premises (@p159)) % 0.41/0.62 (step @p160 :rule process_scope :premises (@p235) :args (false)) % 0.41/0.62 (step @p162 :rule eq_resolve :premises (@p160 @p134)) % 0.41/0.62 (step-pop @p236 :rule scope :premises (@p162)) % 0.41/0.62 (step @p163 :rule process_scope :premises (@p236) :args (@t77)) % 0.41/0.62 (step @p150 :rule symm :premises (@p110)) % 0.41/0.62 (step @p151 :rule symm :premises (@p98)) % 0.41/0.62 (step @p120 :rule instantiate :premises (@p114) :args (@t75)) % 0.41/0.62 (step @p165 :rule trans :premises (@p120 @p85 @p151 @p150)) % 0.41/0.62 (step @p166 :rule modus_ponens :premises (@p165 @p163)) % 0.41/0.62 (step-pop @p237 :rule scope :premises (@p166)) % 0.41/0.62 (step-pop @p238 :rule scope :premises (@p237)) % 0.41/0.62 (step-pop @p239 :rule scope :premises (@p238)) % 0.41/0.62 (step-pop @p240 :rule scope :premises (@p239)) % 0.41/0.62 (step @p167 :rule process_scope :premises (@p240) :args (@t77)) % 0.41/0.62 (step @p172 :rule implies_elim :premises (@p167)) % 0.41/0.62 (step @p173 :rule cnf_and_neg :args (@t85)) % 0.41/0.62 (step @p174 :rule resolution :premises (@p173 @p172) :args (true @t85)) % 0.41/0.62 (step @p175 :rule reordering :premises (@p174) :args ((or @t89 @t77 @t88 @t87 @t86))) % 0.41/0.62 (step @p176 :rule chain_m_resolution :premises (@p175 @p125 @p110 @p98 @p85) :args (@t77 @t90 @t91)) % 0.41/0.62 (assume-push @p241 @t72) % 0.41/0.62 (assume-push @p242 @t69) % 0.41/0.62 (assume-push @p243 @t65) % 0.41/0.62 (assume-push @p244 @t58) % 0.41/0.62 (assume-push @p245 @t76) % 0.41/0.62 (step @p182 :rule arith-elim-lt :args (@t68 40)) % 0.41/0.62 (step @p183 :rule symm :premises (@p182)) % 0.41/0.62 (assume-push @p246 @t92) % 0.41/0.62 (step @p185 :rule evaluate :args ((<= 0 -7))) % 0.41/0.62 (step @p186 :rule evaluate :args ((+ -40 33))) % 0.41/0.62 (step @p187 :rule refl :args (33)) % 0.41/0.62 (step @p188 :rule evaluate :args (@t93)) % 0.41/0.62 (step @p189 :rule nary_cong :premises (@p188 @p187) :args (@t94)) % 0.41/0.62 (step @p190 :rule trans :premises (@p189 @p186)) % 0.41/0.62 (step @p191 :rule arith_poly_norm :args ((= @t95 0))) % 0.41/0.62 (step @p192 :rule cong :premises (@p191 @p190) :args ((<= @t95 @t94))) % 0.41/0.62 (step @p193 :rule trans :premises (@p192 @p185)) % 0.41/0.62 (step @p150 :rule symm :premises (@p110)) % 0.41/0.62 (step @p151 :rule symm :premises (@p98)) % 0.41/0.62 (step @p120 :rule instantiate :premises (@p114) :args (@t75)) % 0.41/0.62 (step @p165 :rule trans :premises (@p120 @p85 @p151 @p150)) % 0.41/0.62 (step @p194 :rule symm :premises (@p165)) % 0.41/0.62 (step @p195 :rule arith_mult_neg :args (-1 @t92)) % 0.41/0.62 (step @p154 :rule evaluate :args (@t84)) % 0.41/0.62 (step @p155 :rule true_elim :premises (@p154)) % 0.41/0.62 (step @p196 :rule and_intro :premises (@p155 @p246)) % 0.41/0.62 (step @p197 :rule modus_ponens :premises (@p196 @p195)) % 0.41/0.62 (step @p198 :rule arith_sum_ub :premises (@p197 @p194)) % 0.41/0.62 (step @p199 false :rule eq_resolve :premises (@p198 @p193)) % 0.41/0.62 (step-pop @p247 :rule scope :premises (@p199)) % 0.41/0.62 (step @p200 :rule process_scope :premises (@p247) :args (false)) % 0.41/0.62 (step @p202 :rule eq_resolve :premises (@p200 @p183)) % 0.41/0.62 (step @p203 :rule eq_resolve :premises (@p202 @p182)) % 0.41/0.62 (step-pop @p248 :rule scope :premises (@p203)) % 0.41/0.62 (step @p204 :rule process_scope :premises (@p248) :args (@t96)) % 0.41/0.62 (step @p150 :rule symm :premises (@p110)) % 0.41/0.62 (step @p151 :rule symm :premises (@p98)) % 0.41/0.62 (step @p120 :rule instantiate :premises (@p114) :args (@t75)) % 0.41/0.62 (step @p165 :rule trans :premises (@p120 @p85 @p151 @p150)) % 0.41/0.62 (step @p206 :rule modus_ponens :premises (@p165 @p204)) % 0.41/0.62 (step-pop @p249 :rule scope :premises (@p206)) % 0.41/0.62 (step-pop @p250 :rule scope :premises (@p249)) % 0.41/0.62 (step-pop @p251 :rule scope :premises (@p250)) % 0.41/0.62 (step-pop @p252 :rule scope :premises (@p251)) % 0.41/0.62 (step @p207 :rule process_scope :premises (@p252) :args (@t96)) % 0.41/0.62 (step @p212 :rule implies_elim :premises (@p207)) % 0.41/0.62 (step @p213 :rule resolution :premises (@p173 @p212) :args (true @t85)) % 0.41/0.62 (step @p214 :rule reordering :premises (@p213) :args ((or @t89 @t96 @t88 @t87 @t86))) % 0.41/0.62 (step @p215 :rule chain_m_resolution :premises (@p214 @p125 @p110 @p98 @p85) :args (@t96 @t90 @t91)) % 0.41/0.62 (step @p216 :rule cnf_or_pos :args (@t98)) % 0.41/0.62 (step @p217 :rule reordering :premises (@p216) :args ((or @t92 @t97 (not @t98)))) % 0.41/0.62 (step @p218 false :rule chain_m_resolution :premises (@p217 @p215 @p176 @p70) :args (false (@list true false false) (@list @t92 @t77 @t98))) % 0.41/0.62 ) % 0.41/0.62 % SZS output end Proof % 0.41/0.62 % cvc5 exiting %------------------------------------------------------------------------------