%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT022_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:14:22 AM UTC 2026 % Result : Theorem 45.61s 45.83s % Output : Proof 45.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : DAT022_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n006.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Mon Jun 1 22:25:49 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_ARI % 45.61/45.83 --- Run --finite-model-find --decision=internal at 45... % 45.61/45.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.61/45.83 % SZS status Theorem % 45.61/45.83 % SZS output start Proof % 45.61/45.83 ( % 45.61/45.83 (declare-sort tptp.collection 0) % 45.61/45.83 (declare-const tptp.remove (-> Int tptp.collection tptp.collection)) % 45.61/45.83 (declare-const tptp.add (-> Int tptp.collection tptp.collection)) % 45.61/45.83 (declare-const tptp.in (-> Int tptp.collection Bool)) % 45.61/45.83 (declare-const tptp.empty tptp.collection) % 45.61/45.83 (define @t1 () (@var "U" Int)) % 45.61/45.83 (define @t2 () (@var "W" tptp.collection)) % 45.61/45.83 (define @t3 () (@var "V" Int)) % 45.61/45.83 (define @t4 () (@var "Y" tptp.collection)) % 45.61/45.83 (define @t5 () (@var "X" Int)) % 45.61/45.83 (define @t6 () (@var "X1" tptp.collection)) % 45.61/45.83 (define @t7 () (@var "X2" Int)) % 45.61/45.83 (define @t8 () (@var "Z" Int)) % 45.61/45.83 (define @t9 () (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6))))) % 45.61/45.83 (define @t10 () (@var "X4" tptp.collection)) % 45.61/45.83 (define @t11 () (@var "X5" Int)) % 45.61/45.83 (define @t12 () (@var "X3" Int)) % 45.61/45.83 (define @t13 () (forall (@list @t12 @t10 @t11) (= (and (tptp.in @t12 @t10) (not (= @t12 @t11))) (tptp.in @t12 (tptp.remove @t11 @t10))))) % 45.61/45.83 (define @t14 () (@var "U" tptp.collection)) % 45.61/45.83 (define @t15 () (tptp.in @t5 @t14)) % 45.61/45.83 (define @t16 () (=> @t15 (> @t5 0))) % 45.61/45.83 (define @t17 () (@list @t5)) % 45.61/45.83 (define @t18 () (forall @t17 @t16)) % 45.61/45.83 (define @t19 () (@var "V" tptp.collection)) % 45.61/45.83 (define @t20 () (tptp.add 2 (tptp.remove 7 @t19))) % 45.61/45.83 (define @t21 () (= @t14 @t20)) % 45.61/45.83 (define @t22 () (@var "W" Int)) % 45.61/45.83 (define @t23 () (tptp.in @t22 @t19)) % 45.61/45.83 (define @t24 () (=> @t23 (> @t22 0))) % 45.61/45.83 (define @t25 () (@list @t22)) % 45.61/45.83 (define @t26 () (forall @t25 @t24)) % 45.61/45.83 (define @t27 () (and @t26 @t21)) % 45.61/45.83 (define @t28 () (=> @t27 @t18)) % 45.61/45.83 (define @t29 () (@list @t14 @t19)) % 45.61/45.83 (define @t30 () (forall @t29 @t28)) % 45.61/45.83 (define @t31 () (not @t30)) % 45.61/45.83 (define @t32 () (@var "BOUND_VARIABLE_7505" Int)) % 45.61/45.83 (define @t33 () (>= @t32 1)) % 45.61/45.83 (define @t34 () (not (tptp.in @t32 @t20))) % 45.61/45.83 (define @t35 () (>= @t22 1)) % 45.61/45.83 (define @t36 () (forall @t25 (or (not @t23) @t35))) % 45.61/45.83 (define @t37 () (not @t36)) % 45.61/45.83 (define @t38 () (or @t37 @t34 @t33)) % 45.61/45.83 (define @t39 () (not (= @t20 @t20))) % 45.61/45.83 (define @t40 () (or @t37 @t39 @t34 @t33)) % 45.61/45.83 (define @t41 () (@list @t19 @t32)) % 45.61/45.83 (define @t42 () (not (tptp.in @t32 @t14))) % 45.61/45.83 (define @t43 () (not @t21)) % 45.61/45.83 (define @t44 () (or @t43 @t37 @t43 @t42 @t33)) % 45.61/45.83 (define @t45 () (@list @t14)) % 45.61/45.83 (define @t46 () (or @t37 @t43 @t42 @t33)) % 45.61/45.83 (define @t47 () (forall @t45 @t46)) % 45.61/45.83 (define @t48 () (forall @t41 @t47)) % 45.61/45.83 (define @t49 () (forall (@list @t19 @t32 @t14) @t46)) % 45.61/45.83 (define @t50 () (@list @t14 @t19 @t32)) % 45.61/45.83 (define @t51 () (or @t42 @t33)) % 45.61/45.83 (define @t52 () (or @t37 @t43 @t51)) % 45.61/45.83 (define @t53 () (forall @t50 @t52)) % 45.61/45.83 (define @t54 () (@list @t32)) % 45.61/45.83 (define @t55 () (forall @t54 @t52)) % 45.61/45.83 (define @t56 () (forall @t54 @t51)) % 45.61/45.83 (define @t57 () (or @t37 @t43 @t56)) % 45.61/45.83 (define @t58 () (>= @t5 1)) % 45.61/45.83 (define @t59 () (forall @t17 (or (not @t15) @t58))) % 45.61/45.83 (define @t60 () (or @t37 @t43 @t59)) % 45.61/45.83 (define @t61 () (and @t36 @t21)) % 45.61/45.83 (define @t62 () (+ 0 1)) % 45.61/45.83 (define @t63 () (>= @t5 @t62)) % 45.61/45.83 (define @t64 () (>= @t22 @t62)) % 45.61/45.83 (define @t65 () (forall @t41 @t38)) % 45.61/45.83 (define @t66 () (@quantifiers_skolemize @t65 0)) % 45.61/45.83 (define @t67 () (forall @t25 (or (not (tptp.in @t22 @t66)) @t35))) % 45.61/45.83 (define @t68 () (@quantifiers_skolemize @t65 1)) % 45.61/45.83 (define @t69 () (>= @t68 1)) % 45.61/45.83 (define @t70 () (tptp.remove 7 @t66)) % 45.61/45.83 (define @t71 () (tptp.in @t68 (tptp.add 2 @t70))) % 45.61/45.83 (define @t72 () (not @t71)) % 45.61/45.83 (define @t73 () (not @t67)) % 45.61/45.83 (define @t74 () (or @t73 @t72 @t69)) % 45.61/45.83 (define @t75 () (@list true)) % 45.61/45.83 (define @t76 () (@list @t74)) % 45.61/45.83 (define @t77 () (tptp.in @t68 @t66)) % 45.61/45.83 (define @t78 () (and @t77 (not (= @t68 7)))) % 45.61/45.83 (define @t79 () (tptp.in @t68 @t70)) % 45.61/45.83 (define @t80 () (= @t78 @t79)) % 45.61/45.83 (define @t81 () (= @t79 @t78)) % 45.61/45.83 (define @t82 () (@list false)) % 45.61/45.83 (define @t83 () (= @t68 2)) % 45.61/45.83 (define @t84 () (or @t79 @t83)) % 45.61/45.83 (define @t85 () (= @t84 @t71)) % 45.61/45.83 (define @t86 () (= @t71 @t84)) % 45.61/45.83 (define @t87 () (@list false false)) % 45.61/45.83 (define @t88 () (not @t69)) % 45.61/45.83 (define @t89 () (not @t83)) % 45.61/45.83 (define @t90 () (* -1 2)) % 45.61/45.83 (define @t91 () (+ @t90 0)) % 45.61/45.83 (define @t92 () (+ (* -1 @t68) @t68)) % 45.61/45.83 (define @t93 () (and @t83 @t88)) % 45.61/45.83 (define @t94 () (@list true false)) % 45.61/45.83 (define @t95 () (not @t77)) % 45.61/45.83 (define @t96 () (or @t95 @t69)) % 45.61/45.83 (define @t97 () (not @t96)) % 45.61/45.83 (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty)))) % 45.61/45.83 (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2)))) % 45.61/45.83 (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4))))) % 45.61/45.83 (assume @p4 @t9) % 45.61/45.83 (assume @p5 @t13) % 45.61/45.83 (assume @p6 @t31) % 45.61/45.83 (assume @p7 true) % 45.61/45.83 (step @p8 :rule aci_norm :args ((= (or @t37 false @t34 @t33) @t38))) % 45.61/45.83 (step @p9 :rule refl :args (@t33)) % 45.61/45.83 (step @p10 :rule refl :args (@t34)) % 45.61/45.83 (step @p11 :rule evaluate :args ((not true))) % 45.61/45.83 (step @p12 :rule eq-refl :args (@t20)) % 45.61/45.83 (step @p13 :rule cong :premises (@p12) :args (@t39)) % 45.61/45.83 (step @p14 :rule trans :premises (@p13 @p11)) % 45.61/45.83 (step @p15 :rule refl :args (@t37)) % 45.61/45.83 (step @p16 :rule nary_cong :premises (@p15 @p14 @p10 @p9) :args (@t40)) % 45.61/45.83 (step @p17 :rule trans :premises (@p16 @p8)) % 45.61/45.83 (step @p18 :rule cong :premises (@p17) :args ((forall @t41 @t40))) % 45.61/45.83 (step @p19 :rule quant-var-elim-eq :args ((= (forall @t45 @t44) @t40))) % 45.61/45.83 (step @p20 :rule aci_norm :args ((= @t46 @t44))) % 45.61/45.83 (step @p21 :rule cong :premises (@p20) :args (@t47)) % 45.61/45.83 (step @p22 :rule trans :premises (@p21 @p19)) % 45.61/45.83 (step @p23 :rule cong :premises (@p22) :args (@t48)) % 45.61/45.83 (step @p24 :rule quant-merge-prenex :args ((= @t48 @t49))) % 45.61/45.83 (step @p25 :rule symm :premises (@p24)) % 45.61/45.83 (step @p26 :rule quant_var_reordering :args ((= (forall @t50 @t46) @t49))) % 45.61/45.83 (step @p27 :rule trans :premises (@p26 @p25 @p23)) % 45.61/45.83 (step @p28 :rule trans :premises (@p27 @p18)) % 45.61/45.83 (step @p29 :rule aci_norm :args ((= @t52 @t46))) % 45.61/45.83 (step @p30 :rule cong :premises (@p29) :args (@t53)) % 45.61/45.83 (step @p31 :rule trans :premises (@p30 @p28)) % 45.61/45.83 (step @p32 :rule quant-merge-prenex :args ((= (forall @t29 @t55) @t53))) % 45.61/45.83 (step @p33 :rule alpha_equiv :args (@t56 (@list @t32) (@list @t5))) % 45.61/45.83 (step @p34 :rule refl :args (@t43)) % 45.61/45.83 (step @p35 :rule refl :args (@t37)) % 45.61/45.83 (step @p36 :rule nary_cong :premises (@p35 @p34 @p33) :args (@t57)) % 45.61/45.83 (step @p37 :rule quant-miniscope-or :args ((= @t55 @t57))) % 45.61/45.83 (step @p38 :rule trans :premises (@p37 @p36)) % 45.61/45.83 (step @p39 :rule symm :premises (@p38)) % 45.61/45.83 (step @p40 :rule cong :premises (@p39) :args ((forall @t29 @t60))) % 45.61/45.83 (step @p41 :rule trans :premises (@p40 @p32)) % 45.61/45.83 (step @p42 :rule trans :premises (@p41 @p31)) % 45.61/45.83 (step @p43 :rule aci_norm :args ((= (or (or @t37 @t43) @t59) @t60))) % 45.61/45.83 (step @p44 :rule refl :args (@t59)) % 45.61/45.83 (step @p45 :rule bool-and-de-morgan :args (@t36 @t21 true)) % 45.61/45.83 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or (not @t61) @t59))) % 45.61/45.83 (step @p47 :rule trans :premises (@p46 @p43)) % 45.61/45.83 (step @p48 :rule bool-impl-elim :args (@t61 @t59)) % 45.61/45.83 (step @p49 :rule trans :premises (@p48 @p47)) % 45.61/45.83 (step @p50 :rule cong :premises (@p49) :args ((forall @t29 (=> @t61 @t59)))) % 45.61/45.83 (step @p51 :rule trans :premises (@p50 @p42)) % 45.61/45.83 (step @p52 :rule bool-impl-elim :args (@t15 @t58)) % 45.61/45.83 (step @p53 :rule cong :premises (@p52) :args ((forall @t17 (=> @t15 @t58)))) % 45.61/45.83 (step @p54 :rule bool-double-not-elim :args (@t58)) % 45.61/45.83 (step @p55 :rule evaluate :args (@t62)) % 45.61/45.83 (step @p56 :rule refl :args (@t5)) % 45.61/45.83 (step @p57 :rule cong :premises (@p56 @p55) :args (@t63)) % 45.61/45.83 (step @p58 :rule cong :premises (@p57) :args ((not @t63))) % 45.61/45.83 (step @p59 :rule arith-leq-norm :args (@t5 0)) % 45.61/45.83 (step @p60 :rule trans :premises (@p59 @p58)) % 45.61/45.83 (step @p61 :rule cong :premises (@p60) :args ((not (<= @t5 0)))) % 45.61/45.83 (step @p62 :rule trans :premises (@p61 @p54)) % 45.61/45.83 (step @p63 :rule arith-elim-leq :args (@t5 0)) % 45.61/45.83 (step @p64 :rule symm :premises (@p63)) % 45.61/45.83 (step @p65 :rule cong :premises (@p64) :args ((not (>= 0 @t5)))) % 45.61/45.83 (step @p66 :rule arith-elim-gt :args (@t5 0)) % 45.61/45.83 (step @p67 :rule trans :premises (@p66 @p65)) % 45.61/45.83 (step @p68 :rule trans :premises (@p67 @p62)) % 45.61/45.83 (step @p69 :rule refl :args (@t15)) % 45.61/45.83 (step @p70 :rule cong :premises (@p69 @p68) :args (@t16)) % 45.61/45.83 (step @p71 :rule cong :premises (@p70) :args (@t18)) % 45.61/45.83 (step @p72 :rule trans :premises (@p71 @p53)) % 45.61/45.83 (step @p73 :rule refl :args (@t21)) % 45.61/45.83 (step @p74 :rule bool-impl-elim :args (@t23 @t35)) % 45.61/45.83 (step @p75 :rule cong :premises (@p74) :args ((forall @t25 (=> @t23 @t35)))) % 45.61/45.83 (step @p76 :rule bool-double-not-elim :args (@t35)) % 45.61/45.83 (step @p77 :rule refl :args (@t22)) % 45.61/45.83 (step @p78 :rule cong :premises (@p77 @p55) :args (@t64)) % 45.61/45.83 (step @p79 :rule cong :premises (@p78) :args ((not @t64))) % 45.61/45.83 (step @p80 :rule arith-leq-norm :args (@t22 0)) % 45.61/45.83 (step @p81 :rule trans :premises (@p80 @p79)) % 45.61/45.83 (step @p82 :rule cong :premises (@p81) :args ((not (<= @t22 0)))) % 45.61/45.83 (step @p83 :rule trans :premises (@p82 @p76)) % 45.61/45.83 (step @p84 :rule arith-elim-leq :args (@t22 0)) % 45.61/45.83 (step @p85 :rule symm :premises (@p84)) % 45.61/45.83 (step @p86 :rule cong :premises (@p85) :args ((not (>= 0 @t22)))) % 45.61/45.83 (step @p87 :rule arith-elim-gt :args (@t22 0)) % 45.61/45.83 (step @p88 :rule trans :premises (@p87 @p86)) % 45.61/45.83 (step @p89 :rule trans :premises (@p88 @p83)) % 45.61/45.83 (step @p90 :rule refl :args (@t23)) % 45.61/45.83 (step @p91 :rule cong :premises (@p90 @p89) :args (@t24)) % 45.61/45.83 (step @p92 :rule cong :premises (@p91) :args (@t26)) % 45.61/45.83 (step @p93 :rule trans :premises (@p92 @p75)) % 45.61/45.83 (step @p94 :rule nary_cong :premises (@p93 @p73) :args (@t27)) % 45.61/45.83 (step @p95 :rule cong :premises (@p94 @p72) :args (@t28)) % 45.61/45.83 (step @p96 :rule cong :premises (@p95) :args (@t30)) % 45.61/45.83 (step @p97 :rule trans :premises (@p96 @p51)) % 45.61/45.83 (step @p98 :rule cong :premises (@p97) :args (@t31)) % 45.61/45.83 (step @p99 :rule eq_resolve :premises (@p6 @p98)) % 45.61/45.83 (step @p100 :rule skolemize :premises (@p99)) % 45.61/45.83 (step @p101 :rule bool-double-not-elim :args (@t67)) % 45.61/45.83 (step @p102 :rule refl :args (@t74)) % 45.61/45.83 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or @t74 (not @t73)))) % 45.61/45.83 (step @p104 :rule cnf_or_neg :args (@t74 0)) % 45.61/45.83 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 45.61/45.83 (step @p106 :rule reordering :premises (@p105) :args ((or @t67 @t74))) % 45.61/45.83 (step @p107 :rule chain_m_resolution :premises (@p106 @p100) :args (@t67 @t75 @t76)) % 45.61/45.83 (step @p108 :rule eq-symm :args (@t78 @t79)) % 45.61/45.83 (step @p109 :rule refl :args (@t13)) % 45.61/45.83 (step @p110 :rule cong :premises (@p109 @p108) :args ((=> @t13 @t80))) % 45.61/45.83 (assume-push @p200 @t13) % 45.61/45.83 (step @p112 :rule instantiate :premises (@p5) :args ((@list @t68 @t66 7))) % 45.61/45.83 (step-pop @p201 :rule scope :premises (@p112)) % 45.61/45.83 (step @p113 :rule process_scope :premises (@p201) :args (@t80)) % 45.61/45.83 (step @p115 :rule eq_resolve :premises (@p113 @p110)) % 45.61/45.83 (step @p116 :rule implies_elim :premises (@p115)) % 45.61/45.83 (step @p117 :rule chain_m_resolution :premises (@p116 @p5) :args (@t81 @t82 (@list @t13))) % 45.61/45.83 (step @p118 :rule eq-symm :args (@t84 @t71)) % 45.61/45.83 (step @p119 :rule refl :args (@t9)) % 45.61/45.83 (step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t9 @t85))) % 45.61/45.83 (assume-push @p202 @t9) % 45.61/45.83 (step @p122 :rule instantiate :premises (@p4) :args ((@list @t68 @t70 2))) % 45.61/45.83 (step-pop @p203 :rule scope :premises (@p122)) % 45.61/45.83 (step @p123 :rule process_scope :premises (@p203) :args (@t85)) % 45.61/45.83 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 45.61/45.83 (step @p126 :rule implies_elim :premises (@p125)) % 45.61/45.83 (step @p127 :rule chain_m_resolution :premises (@p126 @p4) :args (@t86 @t82 (@list @t9))) % 45.61/45.83 (step @p128 :rule bool-double-not-elim :args (@t71)) % 45.61/45.83 (step @p129 :rule nary_cong :premises (@p102 @p128) :args ((or @t74 (not @t72)))) % 45.61/45.83 (step @p130 :rule cnf_or_neg :args (@t74 1)) % 45.61/45.83 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 45.61/45.83 (step @p132 :rule reordering :premises (@p131) :args ((or @t71 @t74))) % 45.61/45.83 (step @p133 :rule chain_m_resolution :premises (@p132 @p100) :args (@t71 @t75 @t76)) % 45.61/45.83 (step @p134 :rule cnf_equiv_pos1 :args (@t86)) % 45.61/45.83 (step @p135 :rule reordering :premises (@p134) :args ((or @t72 @t84 (not @t86)))) % 45.61/45.83 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p127) :args (@t84 @t87 (@list @t71 @t86))) % 45.61/45.83 (step @p137 :rule cnf_or_neg :args (@t74 2)) % 45.61/45.83 (step @p138 :rule chain_m_resolution :premises (@p137 @p100) :args (@t88 @t75 @t76)) % 45.61/45.83 (step @p139 :rule refl :args (@t89)) % 45.61/45.83 (step @p140 :rule bool-double-not-elim :args (@t69)) % 45.61/45.83 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or (not @t88) @t89))) % 45.61/45.83 (assume-push @p204 @t83) % 45.61/45.83 (assume-push @p205 @t88) % 45.61/45.83 (assume-push @p206 @t83) % 45.61/45.83 (step @p145 :rule evaluate :args ((<= 0 -2))) % 45.61/45.83 (step @p146 :rule evaluate :args ((+ -2 0))) % 45.61/45.83 (step @p147 :rule refl :args (0)) % 45.61/45.83 (step @p148 :rule evaluate :args (@t90)) % 45.61/45.83 (step @p149 :rule nary_cong :premises (@p148 @p147) :args (@t91)) % 45.61/45.83 (step @p150 :rule trans :premises (@p149 @p146)) % 45.61/45.83 (step @p151 :rule arith_poly_norm :args ((= @t92 0))) % 45.61/45.83 (step @p152 :rule cong :premises (@p151 @p150) :args ((<= @t92 @t91))) % 45.61/45.83 (step @p153 :rule trans :premises (@p152 @p145)) % 45.61/45.83 (step @p154 :rule arith-elim-lt :args (@t68 1)) % 45.61/45.83 (step @p155 :rule symm :premises (@p154)) % 45.61/45.83 (step @p156 :rule eq_resolve :premises (@p138 @p155)) % 45.61/45.83 (step @p157 :rule int_tight_ub :premises (@p156)) % 45.61/45.83 (step @p158 :rule arith_mult_neg :args (-1 @t83)) % 45.61/45.83 (step @p159 :rule evaluate :args ((< -1 0))) % 45.61/45.83 (step @p160 :rule true_elim :premises (@p159)) % 45.61/45.83 (step @p161 :rule and_intro :premises (@p160 @p204)) % 45.61/45.83 (step @p162 :rule modus_ponens :premises (@p161 @p158)) % 45.61/45.83 (step @p163 :rule arith_sum_ub :premises (@p162 @p157)) % 45.61/45.83 (step @p164 false :rule eq_resolve :premises (@p163 @p153)) % 45.61/45.83 (step-pop @p207 :rule scope :premises (@p164)) % 45.61/45.83 (step @p165 :rule process_scope :premises (@p207) :args (false)) % 45.61/45.83 (step @p167 false :rule contra :premises (@p204 @p165)) % 45.61/45.83 (step-pop @p208 :rule scope :premises (@p167)) % 45.61/45.83 (step-pop @p209 :rule scope :premises (@p208)) % 45.61/45.83 (step @p168 :rule process_scope :premises (@p209) :args (false)) % 45.61/45.83 (assume-push @p210 @t88) % 45.61/45.83 (assume-push @p211 @t83) % 45.61/45.83 (step @p173 :rule and_intro :premises (@p211 @p138)) % 45.61/45.83 (step-pop @p212 :rule scope :premises (@p173)) % 45.61/45.83 (step-pop @p213 :rule scope :premises (@p212)) % 45.61/45.83 (step @p174 :rule process_scope :premises (@p213) :args (@t93)) % 45.61/45.83 (step @p177 :rule implies_elim :premises (@p174)) % 45.61/45.83 (step @p178 :rule resolution :premises (@p177 @p168) :args (true @t93)) % 45.61/45.83 (step @p179 :rule not_and :premises (@p178)) % 45.61/45.83 (step @p180 :rule eq_resolve :premises (@p179 @p141)) % 45.61/45.83 (step @p181 :rule chain_m_resolution :premises (@p180 @p138) :args (@t89 @t75 (@list @t69))) % 45.61/45.83 (step @p182 :rule cnf_or_pos :args (@t84)) % 45.61/45.83 (step @p183 :rule reordering :premises (@p182) :args ((or @t79 @t83 (not @t84)))) % 45.61/45.83 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p136) :args (@t79 @t94 (@list @t83 @t84))) % 45.61/45.83 (step @p185 :rule cnf_equiv_pos1 :args (@t81)) % 45.61/45.83 (step @p186 :rule reordering :premises (@p185) :args ((or (not @t79) @t78 (not @t81)))) % 45.61/45.83 (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p117) :args (@t78 @t87 (@list @t79 @t81))) % 45.61/45.83 (step @p188 :rule cnf_and_pos :args (@t78 0)) % 45.61/45.83 (step @p189 :rule reordering :premises (@p188) :args ((or @t77 (not @t78)))) % 45.61/45.83 (step @p190 :rule chain_m_resolution :premises (@p189 @p187) :args (@t77 @t82 (@list @t78))) % 45.61/45.84 (step @p191 :rule cnf_or_pos :args (@t96)) % 45.61/45.84 (step @p192 :rule reordering :premises (@p191) :args ((or @t69 @t95 @t97))) % 45.61/45.84 (step @p193 :rule chain_m_resolution :premises (@p192 @p138 @p190) :args (@t97 @t94 (@list @t69 @t77))) % 45.61/45.84 (assume-push @p214 @t67) % 45.61/45.84 (step @p195 :rule instantiate :premises (@p107) :args ((@list @t68))) % 45.61/45.84 (step-pop @p215 :rule scope :premises (@p195)) % 45.61/45.84 (step @p196 :rule process_scope :premises (@p215) :args (@t96)) % 45.61/45.84 (step @p198 :rule implies_elim :premises (@p196)) % 45.61/45.84 (step @p199 false :rule chain_m_resolution :premises (@p198 @p193 @p107) :args (false @t94 (@list @t96 @t67))) % 45.61/45.84 ) % 45.61/45.84 % SZS output end Proof % 45.61/45.84 % cvc5 exiting %------------------------------------------------------------------------------