%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM636^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:40:06 AM UTC 2026 % Result : Theorem 0.53s 0.79s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM636^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.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 : Tue Jun 2 11:39:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.53/0.79 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.53/0.79 % SZS status Theorem % 0.53/0.79 % SZS output start Proof % 0.53/0.79 ( % 0.53/0.79 (declare-sort $$unsorted 0) % 0.53/0.79 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.53/0.79 (declare-const tptp.one $$unsorted) % 0.53/0.79 (define @t1 () (@var "X" $$unsorted)) % 0.53/0.79 (define @t2 () (_ tptp.succ @t1)) % 0.53/0.79 (define @t3 () (not (= @t2 tptp.one))) % 0.53/0.79 (define @t4 () (@list @t1)) % 0.53/0.79 (define @t5 () (forall @t4 @t3)) % 0.53/0.79 (define @t6 () (@var "Y" $$unsorted)) % 0.53/0.79 (define @t7 () (= @t1 @t6)) % 0.53/0.79 (define @t8 () (_ tptp.succ @t6)) % 0.53/0.79 (define @t9 () (= @t2 @t8)) % 0.53/0.79 (define @t10 () (@list @t1 @t6)) % 0.53/0.79 (define @t11 () (forall @t10 (=> @t9 @t7))) % 0.53/0.79 (define @t12 () (@var "M" (-> $$unsorted Bool))) % 0.53/0.79 (define @t13 () (_ @t12 @t6)) % 0.53/0.79 (define @t14 () (@list @t6)) % 0.53/0.79 (define @t15 () (forall @t14 @t13)) % 0.53/0.79 (define @t16 () (_ @t12 @t2)) % 0.53/0.79 (define @t17 () (_ @t12 @t1)) % 0.53/0.79 (define @t18 () (forall @t4 (=> @t17 @t16))) % 0.53/0.79 (define @t19 () (_ @t12 tptp.one)) % 0.53/0.79 (define @t20 () (and @t19 @t18)) % 0.53/0.79 (define @t21 () (=> @t20 @t15)) % 0.53/0.79 (define @t22 () (@list @t12)) % 0.53/0.79 (define @t23 () (forall @t22 @t21)) % 0.53/0.79 (define @t24 () (not (= @t2 @t1))) % 0.53/0.79 (define @t25 () (forall @t4 @t24)) % 0.53/0.79 (define @t26 () (not @t25)) % 0.53/0.79 (define @t27 () (tptp.succ @t6)) % 0.53/0.79 (define @t28 () (tptp.succ @t1)) % 0.53/0.79 (define @t29 () (not @t9)) % 0.53/0.79 (define @t30 () (or @t29 @t7)) % 0.53/0.79 (define @t31 () (@var "BOUND_VARIABLE_7481" $$unsorted)) % 0.53/0.79 (define @t32 () (_ @t12 @t31)) % 0.53/0.79 (define @t33 () (_ @t12 @t28)) % 0.53/0.79 (define @t34 () (_ @t12 @t1)) % 0.53/0.79 (define @t35 () (forall @t4 (or (not @t34) @t33))) % 0.53/0.79 (define @t36 () (not @t35)) % 0.53/0.79 (define @t37 () (_ @t12 tptp.one)) % 0.53/0.79 (define @t38 () (not @t37)) % 0.53/0.79 (define @t39 () (or @t38 @t36 @t32)) % 0.53/0.79 (define @t40 () (forall (@list @t12 @t31) @t39)) % 0.53/0.79 (define @t41 () (@list @t31)) % 0.53/0.79 (define @t42 () (forall @t41 @t39)) % 0.53/0.79 (define @t43 () (forall @t41 @t32)) % 0.53/0.79 (define @t44 () (or @t38 @t36 @t43)) % 0.53/0.79 (define @t45 () (_ @t12 @t6)) % 0.53/0.79 (define @t46 () (forall @t14 @t45)) % 0.53/0.79 (define @t47 () (not @t19)) % 0.53/0.79 (define @t48 () (or @t47 @t36 @t46)) % 0.53/0.79 (define @t49 () (and @t19 @t35)) % 0.53/0.79 (define @t50 () (not @t17)) % 0.53/0.79 (define @t51 () (or @t50 @t16)) % 0.53/0.79 (define @t52 () (forall @t4 (not (= @t1 @t28)))) % 0.53/0.79 (define @t53 () (@quantifiers_skolemize @t52 0)) % 0.53/0.79 (define @t54 () (tptp.succ @t53)) % 0.53/0.79 (define @t55 () (= @t53 @t54)) % 0.53/0.79 (define @t56 () (not @t55)) % 0.53/0.79 (define @t57 () (@var "BOUND_VARIABLE_35899" $$unsorted)) % 0.53/0.79 (define @t58 () (lambda (@list @t57) (not (= @t53 @t57)))) % 0.53/0.79 (define @t59 () (_ @t58 @t54)) % 0.53/0.79 (define @t60 () (not (= @t53 @t28))) % 0.53/0.79 (define @t61 () (_ @t58 @t28)) % 0.53/0.79 (define @t62 () (= @t1 @t53)) % 0.53/0.79 (define @t63 () (not (= @t53 @t1))) % 0.53/0.79 (define @t64 () (_ @t58 @t1)) % 0.53/0.79 (define @t65 () (not @t64)) % 0.53/0.79 (define @t66 () (or @t65 @t61)) % 0.53/0.79 (define @t67 () (forall @t4 @t66)) % 0.53/0.79 (define @t68 () (not @t67)) % 0.53/0.79 (define @t69 () (= tptp.one @t53)) % 0.53/0.79 (define @t70 () (not (= @t53 tptp.one))) % 0.53/0.79 (define @t71 () (_ @t58 tptp.one)) % 0.53/0.79 (define @t72 () (not @t71)) % 0.53/0.79 (define @t73 () (or @t72 @t68 @t59)) % 0.53/0.79 (define @t74 () (forall @t4 (or @t62 (not (= @t28 @t53))))) % 0.53/0.79 (define @t75 () (not @t74)) % 0.53/0.79 (define @t76 () (or @t69 @t75 @t56)) % 0.53/0.79 (define @t77 () (= tptp.one @t2)) % 0.53/0.79 (define @t78 () (not @t77)) % 0.53/0.79 (define @t79 () (= @t1 @t2)) % 0.53/0.79 (define @t80 () (not @t79)) % 0.53/0.79 (define @t81 () (not @t52)) % 0.53/0.79 (define @t82 () (not @t56)) % 0.53/0.79 (define @t83 () (@list true)) % 0.53/0.79 (define @t84 () (@quantifiers_skolemize @t74 0)) % 0.53/0.79 (define @t85 () (tptp.succ @t84)) % 0.53/0.79 (define @t86 () (= @t53 @t85)) % 0.53/0.79 (define @t87 () (not @t86)) % 0.53/0.79 (define @t88 () (= @t53 @t84)) % 0.53/0.79 (define @t89 () (or @t88 @t87)) % 0.53/0.79 (define @t90 () (not @t89)) % 0.53/0.79 (define @t91 () (not (= @t85 @t53))) % 0.53/0.79 (define @t92 () (or (= @t84 @t53) @t91)) % 0.53/0.79 (define @t93 () (not @t92)) % 0.53/0.79 (define @t94 () (@list @t89)) % 0.53/0.79 (define @t95 () (= @t54 @t85)) % 0.53/0.79 (define @t96 () (not @t95)) % 0.53/0.79 (define @t97 () (or @t96 @t88)) % 0.53/0.79 (define @t98 () (not @t97)) % 0.53/0.79 (define @t99 () (@list true false)) % 0.53/0.79 (define @t100 () (forall @t10 (or (not (= @t28 @t27)) @t7))) % 0.53/0.79 (assume @p1 @t5) % 0.53/0.79 (assume @p2 @t11) % 0.53/0.79 (assume @p3 @t23) % 0.53/0.79 (assume @p4 @t26) % 0.53/0.79 (assume @p5 true) % 0.53/0.79 (step @p6 :rule refl :args (@t7)) % 0.53/0.79 (step @p7 :rule refl :args (@t27)) % 0.53/0.79 (step @p8 :rule refl :args (@t8)) % 0.53/0.79 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t8 @t27))) % 0.53/0.79 (step @p10 :rule symm :premises (@p9)) % 0.53/0.79 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 0.53/0.79 (step @p12 :rule refl :args (@t28)) % 0.53/0.79 (step @p13 :rule refl :args (@t2)) % 0.53/0.79 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t2 @t28))) % 0.53/0.79 (step @p15 :rule symm :premises (@p14)) % 0.53/0.79 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 0.53/0.79 (step @p17 :rule cong :premises (@p16 @p11) :args (@t9)) % 0.53/0.79 (step @p18 :rule cong :premises (@p17) :args (@t29)) % 0.53/0.79 (step @p19 :rule nary_cong :premises (@p18 @p6) :args (@t30)) % 0.53/0.79 (step @p20 :rule cong :premises (@p19) :args ((forall @t10 @t30))) % 0.53/0.79 (step @p21 :rule bool-impl-elim :args (@t9 @t7)) % 0.53/0.79 (step @p22 :rule cong :premises (@p21) :args (@t11)) % 0.53/0.79 (step @p23 :rule trans :premises (@p22 @p20)) % 0.53/0.79 (step @p24 :rule eq_resolve :premises (@p2 @p23)) % 0.53/0.79 (step @p25 :rule quant-merge-prenex :args ((= (forall @t22 @t42) @t40))) % 0.53/0.79 (step @p26 :rule alpha_equiv :args (@t43 (@list @t31) (@list @t6))) % 0.53/0.79 (step @p27 :rule refl :args (@t36)) % 0.53/0.79 (step @p28 :rule refl :args (@t38)) % 0.53/0.79 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26) :args (@t44)) % 0.53/0.79 (step @p30 :rule quant-miniscope-or :args ((= @t42 @t44))) % 0.53/0.79 (step @p31 :rule trans :premises (@p30 @p29)) % 0.53/0.79 (step @p32 :rule symm :premises (@p31)) % 0.53/0.79 (step @p33 :rule cong :premises (@p32) :args ((forall @t22 (or @t38 @t36 @t46)))) % 0.53/0.79 (step @p34 :rule trans :premises (@p33 @p25)) % 0.53/0.79 (step @p35 :rule refl :args (@t46)) % 0.53/0.79 (step @p36 :rule refl :args (@t37)) % 0.53/0.79 (step @p37 :rule refl :args (@t19)) % 0.53/0.79 (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t19 @t37))) % 0.53/0.79 (step @p39 :rule symm :premises (@p38)) % 0.53/0.79 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.53/0.79 (step @p41 :rule cong :premises (@p40) :args (@t47)) % 0.53/0.79 (step @p42 :rule nary_cong :premises (@p41 @p27 @p35) :args (@t48)) % 0.53/0.79 (step @p43 :rule cong :premises (@p42) :args ((forall @t22 @t48))) % 0.53/0.79 (step @p44 :rule trans :premises (@p43 @p34)) % 0.53/0.79 (step @p45 :rule aci_norm :args ((= (or (or @t47 @t36) @t46) @t48))) % 0.53/0.79 (step @p46 :rule bool-and-de-morgan :args (@t19 @t35 true)) % 0.53/0.79 (step @p47 :rule nary_cong :premises (@p46 @p35) :args ((or (not @t49) @t46))) % 0.53/0.79 (step @p48 :rule trans :premises (@p47 @p45)) % 0.53/0.79 (step @p49 :rule bool-impl-elim :args (@t49 @t46)) % 0.53/0.79 (step @p50 :rule trans :premises (@p49 @p48)) % 0.53/0.79 (step @p51 :rule cong :premises (@p50) :args ((forall @t22 (=> @t49 @t46)))) % 0.53/0.79 (step @p52 :rule trans :premises (@p51 @p44)) % 0.53/0.79 (step @p53 :rule refl :args (@t45)) % 0.53/0.79 (step @p54 :rule refl :args (@t13)) % 0.53/0.79 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t13 @t45))) % 0.53/0.79 (step @p56 :rule symm :premises (@p55)) % 0.53/0.79 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.53/0.79 (step @p58 :rule cong :premises (@p57) :args (@t15)) % 0.53/0.79 (step @p59 :rule refl :args ((_ @t12 @t2))) % 0.53/0.79 (step @p60 :rule cong :premises (@p12) :args (@t33)) % 0.53/0.79 (step @p61 :rule trans :premises (@p60 @p59)) % 0.53/0.79 (step @p62 :rule refl :args (@t12)) % 0.53/0.79 (step @p63 :rule ho_cong :premises (@p62 @p12)) % 0.53/0.79 (step @p64 :rule cong :premises (@p63 @p61) :args ((= (_ @t12 @t28) @t33))) % 0.53/0.79 (step @p65 :rule symm :premises (@p64)) % 0.53/0.79 (step @p66 :rule refl :args (@t16)) % 0.53/0.79 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.53/0.79 (step @p68 :rule ho_cong :premises (@p62 @p16)) % 0.53/0.79 (step @p69 :rule trans :premises (@p68 @p67)) % 0.53/0.79 (step @p70 :rule refl :args (@t34)) % 0.53/0.79 (step @p71 :rule refl :args (@t17)) % 0.53/0.79 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t17 @t34))) % 0.53/0.79 (step @p73 :rule symm :premises (@p72)) % 0.53/0.79 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.53/0.79 (step @p75 :rule cong :premises (@p74) :args (@t50)) % 0.53/0.79 (step @p76 :rule nary_cong :premises (@p75 @p69) :args (@t51)) % 0.53/0.79 (step @p77 :rule cong :premises (@p76) :args ((forall @t4 @t51))) % 0.53/0.79 (step @p78 :rule bool-impl-elim :args (@t17 @t16)) % 0.53/0.79 (step @p79 :rule cong :premises (@p78) :args (@t18)) % 0.53/0.79 (step @p80 :rule trans :premises (@p79 @p77)) % 0.53/0.79 (step @p81 :rule refl :args (@t19)) % 0.53/0.79 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t20)) % 0.53/0.79 (step @p83 :rule cong :premises (@p82 @p58) :args (@t21)) % 0.53/0.79 (step @p84 :rule cong :premises (@p83) :args (@t23)) % 0.53/0.79 (step @p85 :rule trans :premises (@p84 @p52)) % 0.53/0.79 (step @p86 :rule eq_resolve :premises (@p3 @p85)) % 0.53/0.79 (step @p87 :rule beta-reduce :args ((= @t59 @t56))) % 0.53/0.79 (step @p88 :rule eq-symm :args (@t53 @t28)) % 0.53/0.79 (step @p89 :rule cong :premises (@p88) :args (@t60)) % 0.53/0.79 (step @p90 :rule beta-reduce :args ((= @t61 @t60))) % 0.53/0.79 (step @p91 :rule trans :premises (@p90 @p89)) % 0.53/0.79 (step @p92 :rule bool-double-not-elim :args (@t62)) % 0.53/0.79 (step @p93 :rule eq-symm :args (@t53 @t1)) % 0.53/0.79 (step @p94 :rule cong :premises (@p93) :args (@t63)) % 0.53/0.79 (step @p95 :rule beta-reduce :args ((= @t64 @t63))) % 0.53/0.79 (step @p96 :rule trans :premises (@p95 @p94)) % 0.53/0.79 (step @p97 :rule cong :premises (@p96) :args (@t65)) % 0.53/0.79 (step @p98 :rule trans :premises (@p97 @p92)) % 0.53/0.79 (step @p99 :rule nary_cong :premises (@p98 @p91) :args (@t66)) % 0.53/0.79 (step @p100 :rule cong :premises (@p99) :args (@t67)) % 0.53/0.79 (step @p101 :rule cong :premises (@p100) :args (@t68)) % 0.53/0.79 (step @p102 :rule bool-double-not-elim :args (@t69)) % 0.53/0.79 (step @p103 :rule eq-symm :args (@t53 tptp.one)) % 0.53/0.79 (step @p104 :rule cong :premises (@p103) :args (@t70)) % 0.53/0.79 (step @p105 :rule beta-reduce :args ((= @t71 @t70))) % 0.53/0.79 (step @p106 :rule trans :premises (@p105 @p104)) % 0.53/0.79 (step @p107 :rule cong :premises (@p106) :args (@t72)) % 0.53/0.79 (step @p108 :rule trans :premises (@p107 @p102)) % 0.53/0.79 (step @p109 :rule nary_cong :premises (@p108 @p101 @p87) :args (@t73)) % 0.53/0.79 (step @p110 :rule refl :args (@t40)) % 0.53/0.79 (step @p111 :rule cong :premises (@p110 @p109) :args ((=> @t40 @t73))) % 0.53/0.79 (assume-push @p199 @t40) % 0.53/0.79 (step @p113 :rule instantiate :premises (@p86) :args ((@list @t58 @t54))) % 0.53/0.79 (step-pop @p200 :rule scope :premises (@p113)) % 0.53/0.79 (step @p114 :rule process_scope :premises (@p200) :args (@t73)) % 0.53/0.79 (step @p116 :rule eq_resolve :premises (@p114 @p111)) % 0.53/0.79 (step @p117 :rule implies_elim :premises (@p116)) % 0.53/0.79 (step @p118 :rule chain_m_resolution :premises (@p117 @p86) :args (@t76 (@list false) (@list @t40))) % 0.53/0.79 (step @p119 :rule refl :args (tptp.one)) % 0.53/0.79 (step @p120 :rule cong :premises (@p119 @p16) :args (@t77)) % 0.53/0.79 (step @p121 :rule cong :premises (@p120) :args (@t78)) % 0.53/0.79 (step @p122 :rule cong :premises (@p121) :args ((forall @t4 @t78))) % 0.53/0.79 (step @p123 :rule eq-symm :args (@t2 tptp.one)) % 0.53/0.79 (step @p124 :rule cong :premises (@p123) :args (@t3)) % 0.53/0.79 (step @p125 :rule cong :premises (@p124) :args (@t5)) % 0.53/0.79 (step @p126 :rule trans :premises (@p125 @p122)) % 0.53/0.79 (step @p127 :rule eq_resolve :premises (@p1 @p126)) % 0.53/0.79 (step @p128 :rule instantiate :premises (@p127) :args ((@list @t53))) % 0.53/0.79 (step @p129 :rule false_intro :premises (@p128)) % 0.53/0.79 (step @p130 :rule refl :args (@t1)) % 0.53/0.79 (step @p131 :rule cong :premises (@p130 @p16) :args (@t79)) % 0.53/0.79 (step @p132 :rule cong :premises (@p131) :args (@t80)) % 0.53/0.79 (step @p133 :rule cong :premises (@p132) :args ((forall @t4 @t80))) % 0.53/0.79 (step @p134 :rule eq-symm :args (@t2 @t1)) % 0.53/0.79 (step @p135 :rule cong :premises (@p134) :args (@t24)) % 0.53/0.79 (step @p136 :rule cong :premises (@p135) :args (@t25)) % 0.53/0.79 (step @p137 :rule trans :premises (@p136 @p133)) % 0.53/0.79 (step @p138 :rule cong :premises (@p137) :args (@t26)) % 0.53/0.79 (step @p139 :rule eq_resolve :premises (@p4 @p138)) % 0.53/0.79 (step @p140 :rule refl :args (@t55)) % 0.53/0.79 (step @p141 :rule bool-double-not-elim :args (@t52)) % 0.53/0.79 (step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or (not @t81) @t55))) % 0.53/0.79 (step @p143 :rule bool-double-not-elim :args (@t55)) % 0.53/0.79 (step @p144 :rule refl :args (@t81)) % 0.53/0.79 (step @p145 :rule cong :premises (@p144 @p143) :args ((=> @t81 @t82))) % 0.53/0.79 (assume-push @p201 @t81) % 0.53/0.79 (step @p147 :rule skolemize :premises (@p139)) % 0.53/0.79 (step-pop @p202 :rule scope :premises (@p147)) % 0.53/0.79 (step @p148 :rule process_scope :premises (@p202) :args (@t82)) % 0.53/0.79 (step @p150 :rule eq_resolve :premises (@p148 @p145)) % 0.53/0.79 (step @p151 :rule implies_elim :premises (@p150)) % 0.53/0.79 (step @p152 :rule eq_resolve :premises (@p151 @p142)) % 0.53/0.79 (step @p153 :rule chain_m_resolution :premises (@p152 @p139) :args (@t55 @t83 (@list @t52))) % 0.53/0.79 (step @p154 :rule refl :args (tptp.one)) % 0.53/0.79 (step @p155 :rule cong :premises (@p154 @p153) :args (@t69)) % 0.53/0.79 (step @p156 :rule trans :premises (@p155 @p129)) % 0.53/0.79 (step @p157 :rule false_elim :premises (@p156)) % 0.53/0.79 (step @p158 :rule cnf_or_pos :args (@t76)) % 0.53/0.79 (step @p159 :rule reordering :premises (@p158) :args ((or @t56 @t69 @t75 (not @t76)))) % 0.53/0.79 (step @p160 :rule chain_m_resolution :premises (@p159 @p153 @p157 @p118) :args (@t75 (@list false true false) (@list @t55 @t69 @t76))) % 0.53/0.79 (step @p161 :rule refl :args (@t90)) % 0.53/0.79 (step @p162 :rule bool-double-not-elim :args (@t74)) % 0.53/0.79 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or (not @t75) @t90))) % 0.53/0.79 (step @p164 :rule eq-symm :args (@t85 @t53)) % 0.53/0.79 (step @p165 :rule cong :premises (@p164) :args (@t91)) % 0.53/0.79 (step @p166 :rule eq-symm :args (@t84 @t53)) % 0.53/0.79 (step @p167 :rule nary_cong :premises (@p166 @p165) :args (@t92)) % 0.53/0.79 (step @p168 :rule cong :premises (@p167) :args (@t93)) % 0.53/0.79 (step @p169 :rule refl :args (@t75)) % 0.53/0.79 (step @p170 :rule cong :premises (@p169 @p168) :args ((=> @t75 @t93))) % 0.53/0.79 (assume-push @p203 @t75) % 0.53/0.79 (step @p172 :rule skolemize :premises (@p160)) % 0.53/0.79 (step-pop @p204 :rule scope :premises (@p172)) % 0.53/0.79 (step @p173 :rule process_scope :premises (@p204) :args (@t93)) % 0.53/0.79 (step @p175 :rule eq_resolve :premises (@p173 @p170)) % 0.53/0.79 (step @p176 :rule implies_elim :premises (@p175)) % 0.53/0.79 (step @p177 :rule eq_resolve :premises (@p176 @p163)) % 0.53/0.79 (step @p178 :rule chain_m_resolution :premises (@p177 @p160) :args (@t90 @t83 (@list @t74))) % 0.53/0.79 (step @p179 :rule bool-double-not-elim :args (@t86)) % 0.53/0.79 (step @p180 :rule refl :args (@t89)) % 0.53/0.79 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or @t89 (not @t87)))) % 0.53/0.79 (step @p182 :rule cnf_or_neg :args (@t89 1)) % 0.53/0.79 (step @p183 :rule eq_resolve :premises (@p182 @p181)) % 0.53/0.79 (step @p184 :rule reordering :premises (@p183) :args ((or @t86 @t89))) % 0.53/0.79 (step @p185 :rule chain_m_resolution :premises (@p184 @p178) :args (@t86 @t83 @t94)) % 0.53/0.79 (step @p186 :rule symm :premises (@p153)) % 0.53/0.79 (step @p187 :rule trans :premises (@p186 @p185)) % 0.53/0.79 (step @p188 :rule cnf_or_neg :args (@t89 0)) % 0.53/0.79 (step @p189 :rule chain_m_resolution :premises (@p188 @p178) :args ((not @t88) @t83 @t94)) % 0.53/0.79 (step @p190 :rule cnf_or_pos :args (@t97)) % 0.53/0.79 (step @p191 :rule reordering :premises (@p190) :args ((or @t88 @t96 @t98))) % 0.53/0.79 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p187) :args (@t98 @t99 (@list @t88 @t95))) % 0.53/0.79 (assume-push @p205 @t100) % 0.53/0.79 (step @p194 :rule instantiate :premises (@p24) :args ((@list @t53 @t84))) % 0.53/0.79 (step-pop @p206 :rule scope :premises (@p194)) % 0.53/0.79 (step @p195 :rule process_scope :premises (@p206) :args (@t97)) % 0.53/0.79 (step @p197 :rule implies_elim :premises (@p195)) % 0.53/0.79 (step @p198 false :rule chain_m_resolution :premises (@p197 @p192 @p24) :args (false @t99 (@list @t97 @t100))) % 0.53/0.79 ) % 0.53/0.79 % SZS output end Proof % 0.53/0.79 % cvc5 exiting %------------------------------------------------------------------------------