%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM691^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:40:23 AM UTC 2026 % Result : Theorem 0.28s 0.55s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM691^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.14/0.34 % Computer : n016.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Jun 2 11:56:39 EDT 2026 % 0.14/0.34 % CPUTime : % 0.28/0.48 %----Proving TH0 % 0.28/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.28/0.55 % SZS status Theorem % 0.28/0.55 % SZS output start Proof % 0.28/0.55 ( % 0.28/0.55 (declare-sort tptp.nat 0) % 0.28/0.55 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 0.28/0.55 (declare-const tptp.z tptp.nat) % 0.28/0.55 (declare-const tptp.u tptp.nat) % 0.28/0.55 (declare-const tptp.more (-> tptp.nat tptp.nat Bool)) % 0.28/0.55 (declare-const tptp.x tptp.nat) % 0.28/0.55 (declare-const tptp.y tptp.nat) % 0.28/0.55 (define @t1 () (= tptp.x tptp.y)) % 0.28/0.55 (define @t2 () (_ (_ tptp.more tptp.x) tptp.y)) % 0.28/0.55 (define @t3 () (not @t2)) % 0.28/0.55 (define @t4 () (=> @t3 @t1)) % 0.28/0.55 (define @t5 () (= tptp.z tptp.u)) % 0.28/0.55 (define @t6 () (_ (_ tptp.more tptp.z) tptp.u)) % 0.28/0.55 (define @t7 () (not @t6)) % 0.28/0.55 (define @t8 () (=> @t7 @t5)) % 0.28/0.55 (define @t9 () (@var "Xa" Bool)) % 0.28/0.55 (define @t10 () (@var "Xu" tptp.nat)) % 0.28/0.55 (define @t11 () (@var "Xy" tptp.nat)) % 0.28/0.55 (define @t12 () (_ (_ tptp.pl @t11) @t10)) % 0.28/0.55 (define @t13 () (@var "Xz" tptp.nat)) % 0.28/0.55 (define @t14 () (@var "Xx" tptp.nat)) % 0.28/0.55 (define @t15 () (_ (_ tptp.pl @t14) @t13)) % 0.28/0.55 (define @t16 () (_ (_ tptp.more @t15) @t12)) % 0.28/0.55 (define @t17 () (_ (_ tptp.more @t13) @t10)) % 0.28/0.55 (define @t18 () (=> @t17 @t16)) % 0.28/0.55 (define @t19 () (= @t14 @t11)) % 0.28/0.55 (define @t20 () (_ (_ tptp.more @t14) @t11)) % 0.28/0.55 (define @t21 () (not @t20)) % 0.28/0.55 (define @t22 () (=> @t21 @t19)) % 0.28/0.55 (define @t23 () (@list @t14 @t11 @t13 @t10)) % 0.28/0.55 (define @t24 () (forall @t23 (=> @t22 @t18))) % 0.28/0.55 (define @t25 () (= @t13 @t10)) % 0.28/0.55 (define @t26 () (not @t17)) % 0.28/0.55 (define @t27 () (=> @t26 @t25)) % 0.28/0.55 (define @t28 () (=> @t27 @t16)) % 0.28/0.55 (define @t29 () (forall @t23 (=> @t20 @t28))) % 0.28/0.55 (define @t30 () (_ (_ tptp.pl tptp.y) tptp.u)) % 0.28/0.55 (define @t31 () (_ (_ tptp.pl tptp.x) tptp.z)) % 0.28/0.55 (define @t32 () (_ (_ tptp.more @t31) @t30)) % 0.28/0.55 (define @t33 () (not @t32)) % 0.28/0.55 (define @t34 () (=> @t33 (= @t31 @t30))) % 0.28/0.55 (define @t35 () (not @t34)) % 0.28/0.55 (define @t36 () (tptp.pl tptp.y tptp.u)) % 0.28/0.55 (define @t37 () (tptp.pl tptp.x tptp.z)) % 0.28/0.55 (define @t38 () (= @t30 @t31)) % 0.28/0.55 (define @t39 () (tptp.more @t37 @t36)) % 0.28/0.55 (define @t40 () (=> @t33 @t38)) % 0.28/0.55 (define @t41 () (not @t1)) % 0.28/0.55 (define @t42 () (tptp.more tptp.x tptp.y)) % 0.28/0.55 (define @t43 () (not @t42)) % 0.28/0.55 (define @t44 () (and @t43 @t41)) % 0.28/0.55 (define @t45 () (not @t44)) % 0.28/0.55 (define @t46 () (tptp.pl @t11 @t10)) % 0.28/0.55 (define @t47 () (tptp.pl @t14 @t13)) % 0.28/0.55 (define @t48 () (tptp.more @t47 @t46)) % 0.28/0.55 (define @t49 () (not @t25)) % 0.28/0.55 (define @t50 () (tptp.more @t13 @t10)) % 0.28/0.55 (define @t51 () (and @t26 @t49)) % 0.28/0.55 (define @t52 () (tptp.more @t14 @t11)) % 0.28/0.55 (define @t53 () (or @t21 @t51 @t16)) % 0.28/0.55 (define @t54 () (tptp.pl tptp.y tptp.z)) % 0.28/0.55 (define @t55 () (tptp.more @t37 @t54)) % 0.28/0.55 (define @t56 () (or @t43 @t55)) % 0.28/0.55 (define @t57 () (not (tptp.more tptp.z tptp.z))) % 0.28/0.55 (define @t58 () (not (= tptp.z tptp.z))) % 0.28/0.55 (define @t59 () (and @t57 @t58)) % 0.28/0.55 (define @t60 () (or @t43 @t59 @t55)) % 0.28/0.55 (define @t61 () (forall @t23 (or (not @t52) (and (not @t50) @t49) @t48))) % 0.28/0.55 (define @t62 () (@list false)) % 0.28/0.55 (define @t63 () (not @t19)) % 0.28/0.55 (define @t64 () (and @t21 @t63)) % 0.28/0.55 (define @t65 () (or @t64 @t26 @t16)) % 0.28/0.55 (define @t66 () (tptp.more tptp.z tptp.u)) % 0.28/0.55 (define @t67 () (not @t66)) % 0.28/0.55 (define @t68 () (or @t44 @t67 @t39)) % 0.28/0.55 (define @t69 () (not @t55)) % 0.28/0.55 (define @t70 () (not @t5)) % 0.28/0.55 (define @t71 () (not @t39)) % 0.28/0.55 (define @t72 () (and @t71 @t5 @t55)) % 0.28/0.55 (define @t73 () (@list true)) % 0.28/0.55 (define @t74 () (= @t37 @t36)) % 0.28/0.55 (define @t75 () (and @t1 @t5)) % 0.28/0.55 (assume @p1 @t4) % 0.28/0.55 (assume @p2 @t8) % 0.28/0.55 (assume @p3 (forall (@list @t9) (=> (not (not @t9)) @t9))) % 0.28/0.55 (assume @p4 @t24) % 0.28/0.55 (assume @p5 @t29) % 0.28/0.55 (assume @p6 @t35) % 0.28/0.55 (assume @p7 true) % 0.28/0.55 (step @p8 :rule eq-symm :args (@t36 @t37)) % 0.28/0.55 (step @p9 :rule refl :args (@t37)) % 0.28/0.55 (step @p10 :rule refl :args (@t31)) % 0.28/0.55 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t31 @t37))) % 0.28/0.55 (step @p12 :rule symm :premises (@p11)) % 0.28/0.55 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.28/0.55 (step @p14 :rule refl :args (@t36)) % 0.28/0.55 (step @p15 :rule refl :args (@t30)) % 0.28/0.55 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t30 @t36))) % 0.28/0.55 (step @p17 :rule symm :premises (@p16)) % 0.28/0.55 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.28/0.55 (step @p19 :rule cong :premises (@p18 @p13) :args (@t38)) % 0.28/0.55 (step @p20 :rule trans :premises (@p19 @p8)) % 0.28/0.55 (step @p21 :rule refl :args ((tptp.more @t31 @t30))) % 0.28/0.55 (step @p22 :rule cong :premises (@p9 @p14) :args (@t39)) % 0.28/0.55 (step @p23 :rule trans :premises (@p22 @p21)) % 0.28/0.55 (step @p24 :rule refl :args (tptp.more)) % 0.28/0.55 (step @p25 :rule ho_cong :premises (@p24 @p9)) % 0.28/0.55 (step @p26 :rule ho_cong :premises (@p25 @p14)) % 0.28/0.55 (step @p27 :rule cong :premises (@p26 @p23) :args ((= (_ (_ tptp.more @t37) @t36) @t39))) % 0.28/0.55 (step @p28 :rule symm :premises (@p27)) % 0.28/0.55 (step @p29 :rule refl :args (@t32)) % 0.28/0.55 (step @p30 :rule eq_resolve :premises (@p29 @p28)) % 0.28/0.55 (step @p31 :rule refl :args (tptp.more)) % 0.28/0.55 (step @p32 :rule ho_cong :premises (@p31 @p13)) % 0.28/0.55 (step @p33 :rule ho_cong :premises (@p32 @p18)) % 0.28/0.55 (step @p34 :rule trans :premises (@p33 @p30)) % 0.28/0.55 (step @p35 :rule cong :premises (@p34) :args (@t33)) % 0.28/0.55 (step @p36 :rule cong :premises (@p35 @p20) :args (@t40)) % 0.28/0.55 (step @p37 :rule cong :premises (@p36) :args ((not @t40))) % 0.28/0.55 (step @p38 :rule eq-symm :args (@t31 @t30)) % 0.28/0.55 (step @p39 :rule refl :args (@t33)) % 0.28/0.55 (step @p40 :rule cong :premises (@p39 @p38) :args (@t34)) % 0.28/0.55 (step @p41 :rule cong :premises (@p40) :args (@t35)) % 0.28/0.55 (step @p42 :rule trans :premises (@p41 @p37)) % 0.28/0.55 (step @p43 :rule eq_resolve :premises (@p6 @p42)) % 0.28/0.55 (step @p44 :rule not_implies_elim2 :premises (@p43)) % 0.28/0.55 (step @p45 :rule cnf_and_pos :args (@t44 0)) % 0.28/0.55 (step @p46 :rule reordering :premises (@p45) :args ((or @t43 @t45))) % 0.28/0.55 (step @p47 :rule refl :args ((tptp.more @t15 @t12))) % 0.28/0.55 (step @p48 :rule refl :args (@t46)) % 0.28/0.55 (step @p49 :rule refl :args (@t47)) % 0.28/0.55 (step @p50 :rule cong :premises (@p49 @p48) :args (@t48)) % 0.28/0.55 (step @p51 :rule trans :premises (@p50 @p47)) % 0.28/0.55 (step @p52 :rule ho_cong :premises (@p24 @p49)) % 0.28/0.55 (step @p53 :rule ho_cong :premises (@p52 @p48)) % 0.28/0.55 (step @p54 :rule cong :premises (@p53 @p51) :args ((= (_ (_ tptp.more @t47) @t46) @t48))) % 0.28/0.55 (step @p55 :rule symm :premises (@p54)) % 0.28/0.55 (step @p56 :rule refl :args (@t16)) % 0.28/0.55 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.28/0.55 (step @p58 :rule refl :args (@t12)) % 0.28/0.55 (step @p59 :rule cong :premises (@p58 @p48) :args ((= @t12 @t46))) % 0.28/0.55 (step @p60 :rule symm :premises (@p59)) % 0.28/0.55 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.28/0.55 (step @p62 :rule refl :args (@t15)) % 0.28/0.55 (step @p63 :rule cong :premises (@p62 @p49) :args ((= @t15 @t47))) % 0.28/0.55 (step @p64 :rule symm :premises (@p63)) % 0.28/0.55 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.28/0.55 (step @p66 :rule ho_cong :premises (@p24 @p65)) % 0.28/0.55 (step @p67 :rule ho_cong :premises (@p66 @p61)) % 0.28/0.55 (step @p68 :rule trans :premises (@p67 @p57)) % 0.28/0.55 (step @p69 :rule refl :args (@t49)) % 0.28/0.55 (step @p70 :rule refl :args (@t50)) % 0.28/0.55 (step @p71 :rule refl :args (@t17)) % 0.28/0.55 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t17 @t50))) % 0.28/0.55 (step @p73 :rule symm :premises (@p72)) % 0.28/0.55 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.28/0.55 (step @p75 :rule cong :premises (@p74) :args (@t26)) % 0.28/0.55 (step @p76 :rule nary_cong :premises (@p75 @p69) :args (@t51)) % 0.28/0.55 (step @p77 :rule refl :args (@t52)) % 0.28/0.55 (step @p78 :rule refl :args (@t20)) % 0.28/0.55 (step @p79 :rule cong :premises (@p78 @p77) :args ((= @t20 @t52))) % 0.28/0.55 (step @p80 :rule symm :premises (@p79)) % 0.28/0.55 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 0.28/0.55 (step @p82 :rule cong :premises (@p81) :args (@t21)) % 0.28/0.55 (step @p83 :rule nary_cong :premises (@p82 @p76 @p68) :args (@t53)) % 0.28/0.55 (step @p84 :rule cong :premises (@p83) :args ((forall @t23 @t53))) % 0.28/0.55 (step @p85 :rule aci_norm :args ((= (or @t21 (or @t51 @t16)) @t53))) % 0.28/0.55 (step @p86 :rule bool-implies-de-morgan :args (@t26 @t25)) % 0.28/0.55 (step @p87 :rule nary_cong :premises (@p86 @p56) :args ((or (not @t27) @t16))) % 0.28/0.55 (step @p88 :rule bool-impl-elim :args (@t27 @t16)) % 0.28/0.55 (step @p89 :rule trans :premises (@p88 @p87)) % 0.28/0.55 (step @p90 :rule refl :args (@t21)) % 0.28/0.55 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t21 @t28))) % 0.28/0.55 (step @p92 :rule trans :premises (@p91 @p85)) % 0.28/0.55 (step @p93 :rule bool-impl-elim :args (@t20 @t28)) % 0.28/0.55 (step @p94 :rule trans :premises (@p93 @p92)) % 0.28/0.55 (step @p95 :rule cong :premises (@p94) :args (@t29)) % 0.28/0.55 (step @p96 :rule trans :premises (@p95 @p84)) % 0.28/0.55 (step @p97 :rule eq_resolve :premises (@p5 @p96)) % 0.28/0.55 (step @p98 :rule aci_norm :args ((= (or @t43 false @t55) @t56))) % 0.28/0.55 (step @p99 :rule refl :args (@t55)) % 0.28/0.55 (step @p100 :rule absorb :args ((= (and @t57 false) false))) % 0.28/0.55 (step @p101 :rule evaluate :args ((not true))) % 0.28/0.55 (step @p102 :rule eq-refl :args (tptp.z)) % 0.28/0.55 (step @p103 :rule cong :premises (@p102) :args (@t58)) % 0.28/0.55 (step @p104 :rule trans :premises (@p103 @p101)) % 0.28/0.55 (step @p105 :rule refl :args (@t57)) % 0.28/0.55 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t59)) % 0.28/0.55 (step @p107 :rule trans :premises (@p106 @p100)) % 0.28/0.55 (step @p108 :rule refl :args (@t43)) % 0.28/0.55 (step @p109 :rule nary_cong :premises (@p108 @p107 @p99) :args (@t60)) % 0.28/0.55 (step @p110 :rule trans :premises (@p109 @p98)) % 0.28/0.55 (step @p111 :rule refl :args (@t61)) % 0.28/0.55 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t61 @t60))) % 0.28/0.55 (assume-push @p230 @t61) % 0.28/0.55 (step @p114 :rule instantiate :premises (@p97) :args ((@list tptp.x tptp.y tptp.z tptp.z))) % 0.28/0.55 (step-pop @p231 :rule scope :premises (@p114)) % 0.28/0.55 (step @p115 :rule process_scope :premises (@p231) :args (@t60)) % 0.28/0.55 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 0.28/0.55 (step @p118 :rule implies_elim :premises (@p117)) % 0.28/0.55 (step @p119 :rule chain_m_resolution :premises (@p118 @p97) :args (@t56 @t62 (@list @t61))) % 0.28/0.55 (step @p120 :rule cnf_or_pos :args (@t56)) % 0.28/0.55 (step @p121 :rule reordering :premises (@p120) :args ((or @t43 @t55 (not @t56)))) % 0.28/0.55 (step @p122 :rule not_implies_elim1 :premises (@p43)) % 0.28/0.55 (step @p123 :rule refl :args (@t63)) % 0.28/0.55 (step @p124 :rule nary_cong :premises (@p82 @p123) :args (@t64)) % 0.28/0.55 (step @p125 :rule nary_cong :premises (@p124 @p75 @p68) :args (@t65)) % 0.28/0.55 (step @p126 :rule cong :premises (@p125) :args ((forall @t23 @t65))) % 0.28/0.55 (step @p127 :rule aci_norm :args ((= (or @t64 (or @t26 @t16)) @t65))) % 0.28/0.55 (step @p128 :rule bool-impl-elim :args (@t17 @t16)) % 0.28/0.55 (step @p129 :rule bool-implies-de-morgan :args (@t21 @t19)) % 0.28/0.55 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or (not @t22) @t18))) % 0.28/0.55 (step @p131 :rule trans :premises (@p130 @p127)) % 0.28/0.55 (step @p132 :rule bool-impl-elim :args (@t22 @t18)) % 0.28/0.55 (step @p133 :rule trans :premises (@p132 @p131)) % 0.28/0.55 (step @p134 :rule cong :premises (@p133) :args (@t24)) % 0.28/0.55 (step @p135 :rule trans :premises (@p134 @p126)) % 0.28/0.55 (step @p136 :rule eq_resolve :premises (@p4 @p135)) % 0.28/0.55 (step @p137 :rule instantiate :premises (@p136) :args ((@list tptp.x tptp.y tptp.z tptp.u))) % 0.28/0.55 (step @p138 :rule cnf_or_pos :args (@t68)) % 0.28/0.55 (step @p139 :rule reordering :premises (@p138) :args ((or @t67 @t39 @t44 (not @t68)))) % 0.28/0.55 (step @p140 :rule refl :args (@t5)) % 0.28/0.55 (step @p141 :rule bool-double-not-elim :args (@t66)) % 0.28/0.55 (step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or (not @t67) @t5))) % 0.28/0.55 (step @p143 :rule refl :args (@t66)) % 0.28/0.55 (step @p144 :rule refl :args (@t6)) % 0.28/0.55 (step @p145 :rule cong :premises (@p144 @p143) :args ((= @t6 @t66))) % 0.28/0.55 (step @p146 :rule symm :premises (@p145)) % 0.28/0.55 (step @p147 :rule eq_resolve :premises (@p144 @p146)) % 0.28/0.55 (step @p148 :rule cong :premises (@p147) :args (@t7)) % 0.28/0.55 (step @p149 :rule cong :premises (@p148 @p140) :args (@t8)) % 0.28/0.55 (step @p150 :rule eq_resolve :premises (@p2 @p149)) % 0.28/0.55 (step @p151 :rule implies_elim :premises (@p150)) % 0.28/0.55 (step @p152 :rule eq_resolve :premises (@p151 @p142)) % 0.28/0.55 (step @p153 :rule reordering :premises (@p152) :args ((or @t5 @t66))) % 0.28/0.55 (step @p154 :rule refl :args (@t69)) % 0.28/0.55 (step @p155 :rule bool-double-not-elim :args (@t39)) % 0.28/0.55 (step @p156 :rule refl :args (@t70)) % 0.28/0.55 (step @p157 :rule nary_cong :premises (@p156 @p155 @p154) :args ((or @t70 (not @t71) @t69))) % 0.28/0.55 (assume-push @p232 @t71) % 0.28/0.55 (assume-push @p233 @t5) % 0.28/0.55 (assume-push @p234 @t55) % 0.28/0.55 (step @p161 :rule evaluate :args ((= true false))) % 0.28/0.55 (step @p162 :rule false_intro :premises (@p122)) % 0.28/0.55 (step @p163 :rule refl :args (tptp.y)) % 0.28/0.55 (step @p164 :rule cong :premises (@p163 @p233) :args (@t54)) % 0.28/0.55 (step @p165 :rule refl :args (@t37)) % 0.28/0.55 (step @p166 :rule cong :premises (@p165 @p164) :args (@t55)) % 0.28/0.55 (step @p167 :rule true_intro :premises (@p234)) % 0.28/0.55 (step @p168 :rule symm :premises (@p167)) % 0.28/0.55 (step @p169 :rule trans :premises (@p168 @p166 @p162)) % 0.28/0.55 (step @p170 false :rule eq_resolve :premises (@p169 @p161)) % 0.28/0.55 (step-pop @p235 :rule scope :premises (@p170)) % 0.28/0.55 (step-pop @p236 :rule scope :premises (@p235)) % 0.28/0.55 (step-pop @p237 :rule scope :premises (@p236)) % 0.28/0.55 (step @p171 :rule process_scope :premises (@p237) :args (false)) % 0.28/0.55 (assume-push @p238 @t5) % 0.28/0.55 (assume-push @p239 @t71) % 0.28/0.55 (assume-push @p240 @t55) % 0.28/0.55 (step @p178 :rule and_intro :premises (@p122 @p238 @p240)) % 0.28/0.55 (step-pop @p241 :rule scope :premises (@p178)) % 0.28/0.55 (step-pop @p242 :rule scope :premises (@p241)) % 0.28/0.55 (step-pop @p243 :rule scope :premises (@p242)) % 0.28/0.55 (step @p179 :rule process_scope :premises (@p243) :args (@t72)) % 0.28/0.55 (step @p183 :rule implies_elim :premises (@p179)) % 0.28/0.55 (step @p184 :rule resolution :premises (@p183 @p171) :args (true @t72)) % 0.28/0.55 (step @p185 :rule not_and :premises (@p184)) % 0.28/0.55 (step @p186 :rule eq_resolve :premises (@p185 @p157)) % 0.28/0.55 (step @p187 :rule reordering :premises (@p186) :args ((or @t39 @t70 @t69))) % 0.28/0.55 (step @p188 :rule chain_m_resolution :premises (@p187 @p122 @p153 @p139 @p137 @p122 @p121 @p119 @p46) :args (@t43 (@list true false true false true false false true) (@list @t39 @t5 @t66 @t68 @t39 @t55 @t56 @t44))) % 0.28/0.55 (step @p189 :rule refl :args (@t1)) % 0.28/0.55 (step @p190 :rule bool-double-not-elim :args (@t42)) % 0.28/0.55 (step @p191 :rule nary_cong :premises (@p190 @p189) :args ((or (not @t43) @t1))) % 0.28/0.55 (step @p192 :rule refl :args (@t42)) % 0.28/0.55 (step @p193 :rule refl :args (@t2)) % 0.28/0.55 (step @p194 :rule cong :premises (@p193 @p192) :args ((= @t2 @t42))) % 0.28/0.55 (step @p195 :rule symm :premises (@p194)) % 0.28/0.55 (step @p196 :rule eq_resolve :premises (@p193 @p195)) % 0.28/0.55 (step @p197 :rule cong :premises (@p196) :args (@t3)) % 0.28/0.55 (step @p198 :rule cong :premises (@p197 @p189) :args (@t4)) % 0.28/0.55 (step @p199 :rule eq_resolve :premises (@p1 @p198)) % 0.28/0.55 (step @p200 :rule implies_elim :premises (@p199)) % 0.28/0.55 (step @p201 :rule eq_resolve :premises (@p200 @p191)) % 0.28/0.55 (step @p202 :rule reordering :premises (@p201) :args ((or @t1 @t42))) % 0.28/0.55 (step @p203 :rule chain_m_resolution :premises (@p202 @p188) :args (@t1 @t73 (@list @t42))) % 0.28/0.55 (step @p204 :rule cnf_and_pos :args (@t44 1)) % 0.28/0.55 (step @p205 :rule reordering :premises (@p204) :args ((or @t41 @t45))) % 0.28/0.55 (step @p206 :rule chain_m_resolution :premises (@p205 @p203) :args (@t45 @t62 (@list @t1))) % 0.28/0.55 (step @p207 :rule chain_m_resolution :premises (@p139 @p122 @p206 @p137) :args (@t67 (@list true true false) (@list @t39 @t44 @t68))) % 0.28/0.55 (step @p208 :rule chain_m_resolution :premises (@p153 @p207) :args (@t5 @t73 (@list @t66))) % 0.28/0.55 (assume-push @p244 @t1) % 0.28/0.55 (assume-push @p245 @t5) % 0.28/0.55 (assume-push @p246 @t5) % 0.28/0.55 (assume-push @p247 @t1) % 0.28/0.55 (step @p163 :rule refl :args (tptp.y)) % 0.28/0.55 (step @p213 :rule cong :premises (@p163 @p245) :args (@t54)) % 0.28/0.55 (step @p214 :rule refl :args (tptp.z)) % 0.28/0.55 (step @p215 :rule cong :premises (@p244 @p214) :args (@t37)) % 0.28/0.55 (step @p216 :rule trans :premises (@p215 @p213)) % 0.28/0.55 (step-pop @p248 :rule scope :premises (@p216)) % 0.28/0.55 (step-pop @p249 :rule scope :premises (@p248)) % 0.28/0.55 (step @p217 :rule process_scope :premises (@p249) :args (@t74)) % 0.28/0.55 (step @p220 :rule and_intro :premises (@p245 @p244)) % 0.28/0.55 (step @p221 :rule modus_ponens :premises (@p220 @p217)) % 0.28/0.55 (step-pop @p250 :rule scope :premises (@p221)) % 0.28/0.55 (step-pop @p251 :rule scope :premises (@p250)) % 0.28/0.55 (step @p222 :rule process_scope :premises (@p251) :args (@t74)) % 0.28/0.55 (step @p225 :rule implies_elim :premises (@p222)) % 0.28/0.55 (step @p226 :rule cnf_and_neg :args (@t75)) % 0.28/0.55 (step @p227 :rule resolution :premises (@p226 @p225) :args (true @t75)) % 0.28/0.55 (step @p228 :rule reordering :premises (@p227) :args ((or @t74 @t41 @t70))) % 0.28/0.55 (step @p229 false :rule chain_m_resolution :premises (@p228 @p208 @p203 @p44) :args (false (@list false false true) (@list @t5 @t1 @t74))) % 0.28/0.55 ) % 0.28/0.55 % SZS output end Proof % 0.28/0.55 % cvc5 exiting %------------------------------------------------------------------------------