%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI614_1 : TPTP v9.2.1. Released v5.1.0. % 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 08:07:58 AM UTC 2026 % Result : Theorem 0.52s 0.71s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI614_1 : TPTP v9.2.1. Released v5.1.0. % 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 : n005.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 : Wed Jun 3 02:30:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_ARI % 0.52/0.71 --- Run --finite-model-find --decision=internal at 45... % 0.52/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.52/0.71 --- Run --no-e-matching --full-saturate-quant at 45... % 0.52/0.71 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 0.52/0.71 % SZS status Theorem % 0.52/0.71 % SZS output start Proof % 0.52/0.71 ( % 0.52/0.71 (declare-const tptp.a Int) % 0.52/0.71 (declare-const tptp.p (-> Int Bool)) % 0.52/0.71 (declare-const tptp.q (-> Int Bool)) % 0.52/0.71 (define @t1 () (@var "Y" Int)) % 0.52/0.71 (define @t2 () (@var "X" Int)) % 0.52/0.71 (define @t3 () (+ @t2 @t1)) % 0.52/0.71 (define @t4 () (= @t3 0)) % 0.52/0.71 (define @t5 () (tptp.q @t1)) % 0.52/0.71 (define @t6 () (tptp.p @t2)) % 0.52/0.71 (define @t7 () (and @t6 @t5 @t4)) % 0.52/0.71 (define @t8 () (@list @t2 @t1)) % 0.52/0.71 (define @t9 () (exists @t8 @t7)) % 0.52/0.71 (define @t10 () (tptp.q @t2)) % 0.52/0.71 (define @t11 () (=> (< @t2 0) @t10)) % 0.52/0.71 (define @t12 () (@list @t2)) % 0.52/0.71 (define @t13 () (forall @t12 @t11)) % 0.52/0.71 (define @t14 () (=> (< tptp.a @t2) @t6)) % 0.52/0.71 (define @t15 () (forall @t12 @t14)) % 0.52/0.71 (define @t16 () (and @t15 @t13)) % 0.52/0.71 (define @t17 () (=> @t16 @t9)) % 0.52/0.71 (define @t18 () (not @t17)) % 0.52/0.71 (define @t19 () (* -1 1)) % 0.52/0.71 (define @t20 () (+ -1 @t19)) % 0.52/0.71 (define @t21 () (* -1 tptp.a)) % 0.52/0.71 (define @t22 () (+ tptp.a @t21)) % 0.52/0.71 (define @t23 () (>= tptp.a 1)) % 0.52/0.71 (define @t24 () (not @t5)) % 0.52/0.71 (define @t25 () (* -1 @t1)) % 0.52/0.71 (define @t26 () (not (tptp.p @t25))) % 0.52/0.71 (define @t27 () (or @t26 @t24)) % 0.52/0.71 (define @t28 () (not (= @t25 @t25))) % 0.52/0.71 (define @t29 () (or @t26 @t24 @t28)) % 0.52/0.71 (define @t30 () (@list @t1)) % 0.52/0.71 (define @t31 () (= @t2 @t25)) % 0.52/0.71 (define @t32 () (not @t31)) % 0.52/0.71 (define @t33 () (not @t6)) % 0.52/0.71 (define @t34 () (or @t32 @t33 @t24 @t32)) % 0.52/0.71 (define @t35 () (or @t33 @t24 @t32)) % 0.52/0.71 (define @t36 () (forall @t12 @t35)) % 0.52/0.71 (define @t37 () (forall @t30 @t36)) % 0.52/0.71 (define @t38 () (forall (@list @t1 @t2) @t35)) % 0.52/0.71 (define @t39 () (and @t6 @t5 @t31)) % 0.52/0.71 (define @t40 () (forall @t8 (not @t39))) % 0.52/0.71 (define @t41 () (not @t40)) % 0.52/0.71 (define @t42 () (>= @t2 0)) % 0.52/0.71 (define @t43 () (not @t42)) % 0.52/0.71 (define @t44 () (+ tptp.a (* -1 @t2))) % 0.52/0.71 (define @t45 () (>= @t44 0)) % 0.52/0.71 (define @t46 () (not @t45)) % 0.52/0.71 (define @t47 () (>= tptp.a @t2)) % 0.52/0.71 (define @t48 () (tptp.p 1)) % 0.52/0.71 (define @t49 () (+ -1 tptp.a)) % 0.52/0.71 (define @t50 () (+ tptp.a @t19)) % 0.52/0.71 (define @t51 () (>= @t50 0)) % 0.52/0.71 (define @t52 () (or @t51 @t48)) % 0.52/0.71 (define @t53 () (forall @t12 (or @t45 @t6))) % 0.52/0.71 (define @t54 () (or @t23 @t48)) % 0.52/0.71 (define @t55 () (@list false)) % 0.52/0.71 (define @t56 () (@list @t53)) % 0.52/0.71 (define @t57 () (tptp.q -1)) % 0.52/0.71 (define @t58 () (not @t57)) % 0.52/0.71 (define @t59 () (* -1 -1)) % 0.52/0.71 (define @t60 () (tptp.p @t59)) % 0.52/0.71 (define @t61 () (not @t60)) % 0.52/0.71 (define @t62 () (or @t61 @t58)) % 0.52/0.71 (define @t63 () (forall @t30 @t27)) % 0.52/0.71 (define @t64 () (@list -1)) % 0.52/0.71 (define @t65 () (not @t48)) % 0.52/0.71 (define @t66 () (or @t65 @t58)) % 0.52/0.71 (define @t67 () (@list @t63)) % 0.52/0.71 (define @t68 () (>= -1 0)) % 0.52/0.71 (define @t69 () (or @t68 @t57)) % 0.52/0.71 (define @t70 () (forall @t12 (or @t42 @t10))) % 0.52/0.71 (define @t71 () (@list @t70)) % 0.52/0.71 (define @t72 () (@list false false)) % 0.52/0.71 (define @t73 () (@list true false)) % 0.52/0.71 (define @t74 () (+ -1 @t21)) % 0.52/0.71 (define @t75 () (tptp.q @t74)) % 0.52/0.71 (define @t76 () (+ tptp.a 1)) % 0.52/0.71 (define @t77 () (>= @t74 0)) % 0.52/0.71 (define @t78 () (or @t77 @t75)) % 0.52/0.71 (define @t79 () (@list @t74)) % 0.52/0.71 (define @t80 () (not (>= tptp.a 0))) % 0.52/0.71 (define @t81 () (or @t80 @t75)) % 0.52/0.71 (define @t82 () (not @t75)) % 0.52/0.71 (define @t83 () (+ 1 tptp.a)) % 0.52/0.71 (define @t84 () (* -1 @t74)) % 0.52/0.71 (define @t85 () (tptp.p @t84)) % 0.52/0.71 (define @t86 () (not @t85)) % 0.52/0.71 (define @t87 () (or @t86 @t82)) % 0.52/0.71 (define @t88 () (tptp.p @t83)) % 0.52/0.71 (define @t89 () (not @t88)) % 0.52/0.71 (define @t90 () (or @t89 @t82)) % 0.52/0.71 (define @t91 () (* -1 @t83)) % 0.52/0.71 (define @t92 () (+ tptp.a @t91)) % 0.52/0.71 (define @t93 () (>= @t92 0)) % 0.52/0.71 (define @t94 () (or @t93 @t88)) % 0.52/0.71 (assume @p1 @t18) % 0.52/0.71 (assume @p2 true) % 0.52/0.71 (step @p3 :rule evaluate :args ((<= 0 -2))) % 0.52/0.71 (step @p4 :rule evaluate :args ((+ -1 -1))) % 0.52/0.71 (step @p5 :rule evaluate :args (@t19)) % 0.52/0.71 (step @p6 :rule refl :args (-1)) % 0.52/0.71 (step @p7 :rule nary_cong :premises (@p6 @p5) :args (@t20)) % 0.52/0.71 (step @p8 :rule trans :premises (@p7 @p4)) % 0.52/0.71 (step @p9 :rule arith_poly_norm :args ((= @t22 0))) % 0.52/0.71 (step @p10 :rule cong :premises (@p9 @p8) :args ((<= @t22 @t20))) % 0.52/0.71 (step @p11 :rule trans :premises (@p10 @p3)) % 0.52/0.71 (step @p12 :rule arith_mult_neg :args (-1 @t23)) % 0.52/0.71 (step @p13 :rule aci_norm :args ((= (or @t26 @t24 false) @t27))) % 0.52/0.71 (step @p14 :rule evaluate :args ((not true))) % 0.52/0.71 (step @p15 :rule eq-refl :args (@t25)) % 0.52/0.71 (step @p16 :rule cong :premises (@p15) :args (@t28)) % 0.52/0.71 (step @p17 :rule trans :premises (@p16 @p14)) % 0.52/0.71 (step @p18 :rule refl :args (@t24)) % 0.52/0.71 (step @p19 :rule refl :args (@t26)) % 0.52/0.71 (step @p20 :rule nary_cong :premises (@p19 @p18 @p17) :args (@t29)) % 0.52/0.71 (step @p21 :rule trans :premises (@p20 @p13)) % 0.52/0.71 (step @p22 :rule cong :premises (@p21) :args ((forall @t30 @t29))) % 0.52/0.71 (step @p23 :rule quant-var-elim-eq :args ((= (forall @t12 @t34) @t29))) % 0.52/0.71 (step @p24 :rule aci_norm :args ((= @t35 @t34))) % 0.52/0.71 (step @p25 :rule cong :premises (@p24) :args (@t36)) % 0.52/0.71 (step @p26 :rule trans :premises (@p25 @p23)) % 0.52/0.71 (step @p27 :rule cong :premises (@p26) :args (@t37)) % 0.52/0.71 (step @p28 :rule quant-merge-prenex :args ((= @t37 @t38))) % 0.52/0.71 (step @p29 :rule symm :premises (@p28)) % 0.52/0.71 (step @p30 :rule quant_var_reordering :args ((= (forall @t8 @t35) @t38))) % 0.52/0.71 (step @p31 :rule trans :premises (@p30 @p29 @p27)) % 0.52/0.71 (step @p32 :rule trans :premises (@p31 @p22)) % 0.52/0.71 (step @p33 :rule aci_norm :args ((= (or @t33 (or @t24 @t32)) @t35))) % 0.52/0.71 (step @p34 :rule bool-and-de-morgan :args (@t5 @t31 true)) % 0.52/0.71 (step @p35 :rule refl :args (@t33)) % 0.52/0.71 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or @t33 (not (and @t5 @t31))))) % 0.52/0.71 (step @p37 :rule bool-and-de-morgan :args (@t6 @t5 (and @t31))) % 0.52/0.71 (step @p38 :rule trans :premises (@p37 @p36)) % 0.52/0.71 (step @p39 :rule trans :premises (@p38 @p33)) % 0.52/0.71 (step @p40 :rule cong :premises (@p39) :args (@t40)) % 0.52/0.71 (step @p41 :rule trans :premises (@p40 @p32)) % 0.52/0.71 (step @p42 :rule cong :premises (@p41) :args (@t41)) % 0.52/0.71 (step @p43 :rule exists-elim :args ((= (exists @t8 @t39) @t41))) % 0.52/0.71 (step @p44 :rule trans :premises (@p43 @p42)) % 0.52/0.71 (step @p45 :rule arith_poly_norm :args ((= (* 1 (- @t3 0)) (* 1 (- @t2 @t25))))) % 0.52/0.71 (step @p46 :rule arith_poly_norm_rel :premises (@p45) :args ((= @t4 @t31))) % 0.52/0.71 (step @p47 :rule refl :args (@t5)) % 0.52/0.71 (step @p48 :rule refl :args (@t6)) % 0.52/0.71 (step @p49 :rule nary_cong :premises (@p48 @p47 @p46) :args (@t7)) % 0.52/0.71 (step @p50 :rule cong :premises (@p49) :args (@t9)) % 0.52/0.71 (step @p51 :rule trans :premises (@p50 @p44)) % 0.52/0.71 (step @p52 :rule refl :args (@t10)) % 0.52/0.71 (step @p53 :rule bool-double-not-elim :args (@t42)) % 0.52/0.71 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t43) @t10))) % 0.52/0.71 (step @p55 :rule bool-impl-elim :args (@t43 @t10)) % 0.52/0.71 (step @p56 :rule trans :premises (@p55 @p54)) % 0.52/0.71 (step @p57 :rule cong :premises (@p56) :args ((forall @t12 (=> @t43 @t10)))) % 0.52/0.71 (step @p58 :rule refl :args (@t10)) % 0.52/0.71 (step @p59 :rule arith-elim-lt :args (@t2 0)) % 0.52/0.71 (step @p60 :rule cong :premises (@p59 @p58) :args (@t11)) % 0.52/0.71 (step @p61 :rule cong :premises (@p60) :args (@t13)) % 0.52/0.71 (step @p62 :rule trans :premises (@p61 @p57)) % 0.52/0.71 (step @p63 :rule refl :args (@t6)) % 0.52/0.71 (step @p64 :rule bool-double-not-elim :args (@t45)) % 0.52/0.71 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or (not @t46) @t6))) % 0.52/0.71 (step @p66 :rule bool-impl-elim :args (@t46 @t6)) % 0.52/0.71 (step @p67 :rule trans :premises (@p66 @p65)) % 0.52/0.71 (step @p68 :rule cong :premises (@p67) :args ((forall @t12 (=> @t46 @t6)))) % 0.52/0.71 (step @p69 :rule arith_poly_norm :args ((= (* 1 (- tptp.a @t2)) (* 1 (- @t44 0))))) % 0.52/0.71 (step @p70 :rule arith_poly_norm_rel :premises (@p69) :args ((= @t47 @t45))) % 0.52/0.71 (step @p71 :rule cong :premises (@p70) :args ((not @t47))) % 0.52/0.71 (step @p72 :rule arith-elim-lt :args (tptp.a @t2)) % 0.52/0.71 (step @p73 :rule trans :premises (@p72 @p71)) % 0.52/0.71 (step @p74 :rule cong :premises (@p73 @p48) :args (@t14)) % 0.52/0.71 (step @p75 :rule cong :premises (@p74) :args (@t15)) % 0.52/0.71 (step @p76 :rule trans :premises (@p75 @p68)) % 0.52/0.71 (step @p77 :rule nary_cong :premises (@p76 @p62) :args (@t16)) % 0.52/0.71 (step @p78 :rule cong :premises (@p77 @p51) :args (@t17)) % 0.52/0.71 (step @p79 :rule cong :premises (@p78) :args (@t18)) % 0.52/0.71 (step @p80 :rule eq_resolve :premises (@p1 @p79)) % 0.52/0.71 (step @p81 :rule not_implies_elim1 :premises (@p80)) % 0.52/0.71 (step @p82 :rule and_elim :premises (@p81) :args (0)) % 0.52/0.71 (step @p83 :rule refl :args (@t48)) % 0.52/0.71 (step @p84 :rule arith_poly_norm :args ((= (* -1 (- @t49 0)) (* -1 (- tptp.a 1))))) % 0.52/0.71 (step @p85 :rule arith_poly_norm_rel :premises (@p84) :args ((= (>= @t49 0) @t23))) % 0.52/0.71 (step @p86 :rule refl :args (0)) % 0.52/0.71 (step @p87 :rule arith_poly_norm :args ((= (+ tptp.a -1) @t49))) % 0.52/0.71 (step @p88 :rule refl :args (tptp.a)) % 0.52/0.71 (step @p89 :rule nary_cong :premises (@p88 @p5) :args (@t50)) % 0.52/0.71 (step @p90 :rule trans :premises (@p89 @p87)) % 0.52/0.71 (step @p91 :rule cong :premises (@p90 @p86) :args (@t51)) % 0.52/0.71 (step @p92 :rule trans :premises (@p91 @p85)) % 0.52/0.71 (step @p93 :rule nary_cong :premises (@p92 @p83) :args (@t52)) % 0.52/0.71 (step @p94 :rule refl :args (@t53)) % 0.52/0.71 (step @p95 :rule cong :premises (@p94 @p93) :args ((=> @t53 @t52))) % 0.52/0.71 (assume-push @p202 @t53) % 0.52/0.71 (step @p97 :rule instantiate :premises (@p82) :args ((@list 1))) % 0.52/0.71 (step-pop @p203 :rule scope :premises (@p97)) % 0.52/0.71 (step @p98 :rule process_scope :premises (@p203) :args (@t52)) % 0.52/0.71 (step @p100 :rule eq_resolve :premises (@p98 @p95)) % 0.52/0.71 (step @p101 :rule implies_elim :premises (@p100)) % 0.52/0.71 (step @p102 :rule chain_m_resolution :premises (@p101 @p82) :args (@t54 @t55 @t56)) % 0.52/0.71 (step @p103 :rule not_implies_elim2 :premises (@p80)) % 0.52/0.71 (step @p104 :rule not_not_elim :premises (@p103)) % 0.52/0.71 (step @p105 :rule refl :args (@t58)) % 0.52/0.71 (step @p106 :rule evaluate :args (@t59)) % 0.52/0.71 (step @p107 :rule cong :premises (@p106) :args (@t60)) % 0.52/0.71 (step @p108 :rule cong :premises (@p107) :args (@t61)) % 0.52/0.71 (step @p109 :rule nary_cong :premises (@p108 @p105) :args (@t62)) % 0.52/0.71 (step @p110 :rule refl :args (@t63)) % 0.52/0.71 (step @p111 :rule cong :premises (@p110 @p109) :args ((=> @t63 @t62))) % 0.52/0.71 (assume-push @p204 @t63) % 0.52/0.71 (step @p113 :rule instantiate :premises (@p104) :args (@t64)) % 0.52/0.71 (step-pop @p205 :rule scope :premises (@p113)) % 0.52/0.71 (step @p114 :rule process_scope :premises (@p205) :args (@t62)) % 0.52/0.71 (step @p116 :rule eq_resolve :premises (@p114 @p111)) % 0.52/0.71 (step @p117 :rule implies_elim :premises (@p116)) % 0.52/0.71 (step @p118 :rule chain_m_resolution :premises (@p117 @p104) :args (@t66 @t55 @t67)) % 0.52/0.71 (step @p119 :rule and_elim :premises (@p81) :args (1)) % 0.52/0.71 (step @p120 :rule aci_norm :args ((= (or false @t57) @t57))) % 0.52/0.71 (step @p121 :rule refl :args (@t57)) % 0.52/0.71 (step @p122 :rule evaluate :args (@t68)) % 0.52/0.71 (step @p123 :rule nary_cong :premises (@p122 @p121) :args (@t69)) % 0.52/0.71 (step @p124 :rule trans :premises (@p123 @p120)) % 0.52/0.71 (step @p125 :rule refl :args (@t70)) % 0.52/0.71 (step @p126 :rule cong :premises (@p125 @p124) :args ((=> @t70 @t69))) % 0.52/0.71 (assume-push @p206 @t70) % 0.52/0.71 (step @p128 :rule instantiate :premises (@p119) :args (@t64)) % 0.52/0.71 (step-pop @p207 :rule scope :premises (@p128)) % 0.52/0.71 (step @p129 :rule process_scope :premises (@p207) :args (@t69)) % 0.52/0.71 (step @p131 :rule eq_resolve :premises (@p129 @p126)) % 0.52/0.71 (step @p132 :rule implies_elim :premises (@p131)) % 0.52/0.71 (step @p133 :rule chain_m_resolution :premises (@p132 @p119) :args (@t57 @t55 @t71)) % 0.52/0.71 (step @p134 :rule cnf_or_pos :args (@t66)) % 0.52/0.71 (step @p135 :rule reordering :premises (@p134) :args ((or @t58 @t65 (not @t66)))) % 0.52/0.71 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p118) :args (@t65 @t72 (@list @t57 @t66))) % 0.52/0.71 (step @p137 :rule cnf_or_pos :args (@t54)) % 0.52/0.71 (step @p138 :rule reordering :premises (@p137) :args ((or @t48 @t23 (not @t54)))) % 0.52/0.71 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p102) :args (@t23 @t73 (@list @t48 @t54))) % 0.52/0.71 (step @p140 :rule evaluate :args ((< -1 0))) % 0.52/0.71 (step @p141 :rule true_elim :premises (@p140)) % 0.52/0.71 (step @p142 :rule and_intro :premises (@p141 @p139)) % 0.52/0.71 (step @p143 :rule modus_ponens :premises (@p142 @p12)) % 0.52/0.71 (step @p144 :rule arith-elim-lt :args (tptp.a 0)) % 0.52/0.71 (step @p145 :rule symm :premises (@p144)) % 0.52/0.71 (step @p146 :rule refl :args (@t75)) % 0.52/0.71 (step @p147 :rule arith_poly_norm :args ((= (* -1 (- 0 @t76)) (* -1 (- @t74 0))))) % 0.52/0.71 (step @p148 :rule arith_poly_norm_rel :premises (@p147) :args ((= (>= 0 @t76) @t77))) % 0.52/0.71 (step @p149 :rule arith-geq-tighten :args (tptp.a 0)) % 0.52/0.71 (step @p150 :rule trans :premises (@p149 @p148)) % 0.52/0.71 (step @p151 :rule symm :premises (@p150)) % 0.52/0.71 (step @p152 :rule nary_cong :premises (@p151 @p146) :args (@t78)) % 0.52/0.71 (step @p153 :rule cong :premises (@p125 @p152) :args ((=> @t70 @t78))) % 0.52/0.71 (assume-push @p208 @t70) % 0.52/0.71 (step @p155 :rule instantiate :premises (@p119) :args (@t79)) % 0.52/0.71 (step-pop @p209 :rule scope :premises (@p155)) % 0.52/0.71 (step @p156 :rule process_scope :premises (@p209) :args (@t78)) % 0.52/0.71 (step @p158 :rule eq_resolve :premises (@p156 @p153)) % 0.52/0.71 (step @p159 :rule implies_elim :premises (@p158)) % 0.52/0.71 (step @p160 :rule chain_m_resolution :premises (@p159 @p119) :args (@t81 @t55 @t71)) % 0.52/0.71 (step @p161 :rule refl :args (@t82)) % 0.52/0.71 (step @p162 :rule arith_poly_norm :args ((= @t84 @t83))) % 0.52/0.71 (step @p163 :rule cong :premises (@p162) :args (@t85)) % 0.52/0.71 (step @p164 :rule cong :premises (@p163) :args (@t86)) % 0.52/0.71 (step @p165 :rule nary_cong :premises (@p164 @p161) :args (@t87)) % 0.52/0.71 (step @p166 :rule cong :premises (@p110 @p165) :args ((=> @t63 @t87))) % 0.52/0.71 (assume-push @p210 @t63) % 0.52/0.71 (step @p168 :rule instantiate :premises (@p104) :args (@t79)) % 0.52/0.71 (step-pop @p211 :rule scope :premises (@p168)) % 0.52/0.71 (step @p169 :rule process_scope :premises (@p211) :args (@t87)) % 0.52/0.71 (step @p171 :rule eq_resolve :premises (@p169 @p166)) % 0.52/0.71 (step @p172 :rule implies_elim :premises (@p171)) % 0.52/0.71 (step @p173 :rule chain_m_resolution :premises (@p172 @p104) :args (@t90 @t55 @t67)) % 0.52/0.71 (step @p174 :rule aci_norm :args ((= (or false @t88) @t88))) % 0.52/0.71 (step @p175 :rule refl :args (@t88)) % 0.52/0.71 (step @p176 :rule arith_poly_norm :args ((= (+ tptp.a @t74) -1))) % 0.52/0.71 (step @p177 :rule arith_poly_norm :args ((= @t91 @t74))) % 0.52/0.71 (step @p178 :rule nary_cong :premises (@p88 @p177) :args (@t92)) % 0.52/0.71 (step @p179 :rule trans :premises (@p178 @p176)) % 0.52/0.71 (step @p180 :rule cong :premises (@p179 @p86) :args (@t93)) % 0.52/0.71 (step @p181 :rule trans :premises (@p180 @p122)) % 0.52/0.71 (step @p182 :rule nary_cong :premises (@p181 @p175) :args (@t94)) % 0.52/0.71 (step @p183 :rule trans :premises (@p182 @p174)) % 0.52/0.71 (step @p184 :rule cong :premises (@p94 @p183) :args ((=> @t53 @t94))) % 0.52/0.71 (assume-push @p212 @t53) % 0.52/0.71 (step @p186 :rule instantiate :premises (@p82) :args ((@list @t83))) % 0.52/0.71 (step-pop @p213 :rule scope :premises (@p186)) % 0.52/0.71 (step @p187 :rule process_scope :premises (@p213) :args (@t94)) % 0.52/0.71 (step @p189 :rule eq_resolve :premises (@p187 @p184)) % 0.52/0.71 (step @p190 :rule implies_elim :premises (@p189)) % 0.52/0.71 (step @p191 :rule chain_m_resolution :premises (@p190 @p82) :args (@t88 @t55 @t56)) % 0.52/0.71 (step @p192 :rule cnf_or_pos :args (@t90)) % 0.52/0.71 (step @p193 :rule reordering :premises (@p192) :args ((or @t89 @t82 (not @t90)))) % 0.52/0.71 (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p173) :args (@t82 @t72 (@list @t88 @t90))) % 0.52/0.71 (step @p195 :rule cnf_or_pos :args (@t81)) % 0.52/0.71 (step @p196 :rule reordering :premises (@p195) :args ((or @t75 @t80 (not @t81)))) % 0.52/0.71 (step @p197 :rule chain_m_resolution :premises (@p196 @p194 @p160) :args (@t80 @t73 (@list @t75 @t81))) % 0.52/0.71 (step @p198 :rule eq_resolve :premises (@p197 @p145)) % 0.52/0.71 (step @p199 :rule int_tight_ub :premises (@p198)) % 0.52/0.71 (step @p200 :rule arith_sum_ub :premises (@p199 @p143)) % 0.52/0.71 (step @p201 false :rule eq_resolve :premises (@p200 @p11)) % 0.52/0.71 ) % 0.52/0.71 % SZS output end Proof % 0.52/0.71 % cvc5 exiting %------------------------------------------------------------------------------