%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM812^5 : TPTP v9.2.1. Bugfixed v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:40:44 AM UTC 2026 % Result : Theorem 0.52s 0.72s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM812^5 : TPTP v9.2.1. Bugfixed v5.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.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 12:26:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.48 %----Proving TH0 % 0.52/0.72 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.52/0.72 % SZS status Theorem % 0.52/0.72 % SZS output start Proof % 0.52/0.72 ( % 0.52/0.72 (declare-sort $$unsorted 0) % 0.52/0.72 (declare-const tptp.cIND Bool) % 0.52/0.72 (declare-const tptp.c0 $$unsorted) % 0.52/0.72 (declare-const tptp.cS (-> $$unsorted $$unsorted)) % 0.52/0.72 (define @t1 () (@var "Xx" $$unsorted)) % 0.52/0.72 (define @t2 () (@var "Xp" (-> $$unsorted Bool))) % 0.52/0.72 (define @t3 () (_ @t2 @t1)) % 0.52/0.72 (define @t4 () (@list @t1)) % 0.52/0.72 (define @t5 () (forall @t4 @t3)) % 0.52/0.72 (define @t6 () (_ tptp.cS @t1)) % 0.52/0.72 (define @t7 () (_ @t2 @t6)) % 0.52/0.72 (define @t8 () (forall @t4 (=> @t3 @t7))) % 0.52/0.72 (define @t9 () (_ @t2 tptp.c0)) % 0.52/0.72 (define @t10 () (and @t9 @t8)) % 0.52/0.72 (define @t11 () (=> @t10 @t5)) % 0.52/0.72 (define @t12 () (@list @t2)) % 0.52/0.72 (define @t13 () (forall @t12 @t11)) % 0.52/0.72 (define @t14 () (= tptp.cIND @t13)) % 0.52/0.72 (define @t15 () (@var "Xm" $$unsorted)) % 0.52/0.72 (define @t16 () (_ tptp.cS @t15)) % 0.52/0.72 (define @t17 () (@var "Xn" $$unsorted)) % 0.52/0.72 (define @t18 () (= @t17 @t16)) % 0.52/0.72 (define @t19 () (@list @t15)) % 0.52/0.72 (define @t20 () (exists @t19 @t18)) % 0.52/0.72 (define @t21 () (or (= @t17 tptp.c0) @t20)) % 0.52/0.72 (define @t22 () (@list @t17)) % 0.52/0.72 (define @t23 () (forall @t22 @t21)) % 0.52/0.72 (define @t24 () (=> tptp.cIND @t23)) % 0.52/0.72 (define @t25 () (not @t24)) % 0.52/0.72 (define @t26 () (tptp.cS @t15)) % 0.52/0.72 (define @t27 () (forall @t22 (or (= tptp.c0 @t17) (not (forall @t19 (not (= @t17 @t26))))))) % 0.52/0.72 (define @t28 () (@var "BOUND_VARIABLE_7462" $$unsorted)) % 0.52/0.72 (define @t29 () (_ @t2 @t28)) % 0.52/0.72 (define @t30 () (tptp.cS @t1)) % 0.52/0.72 (define @t31 () (_ @t2 @t30)) % 0.52/0.72 (define @t32 () (_ @t2 @t1)) % 0.52/0.72 (define @t33 () (forall @t4 (or (not @t32) @t31))) % 0.52/0.72 (define @t34 () (not @t33)) % 0.52/0.72 (define @t35 () (_ @t2 tptp.c0)) % 0.52/0.72 (define @t36 () (not @t35)) % 0.52/0.72 (define @t37 () (or @t36 @t34 @t29)) % 0.52/0.72 (define @t38 () (forall (@list @t2 @t28) @t37)) % 0.52/0.72 (define @t39 () (@list @t28)) % 0.52/0.72 (define @t40 () (forall @t39 @t37)) % 0.52/0.72 (define @t41 () (forall @t39 @t29)) % 0.52/0.72 (define @t42 () (or @t36 @t34 @t41)) % 0.52/0.72 (define @t43 () (forall @t4 @t32)) % 0.52/0.72 (define @t44 () (not @t9)) % 0.52/0.72 (define @t45 () (or @t44 @t34 @t43)) % 0.52/0.72 (define @t46 () (and @t9 @t33)) % 0.52/0.72 (define @t47 () (not @t3)) % 0.52/0.72 (define @t48 () (or @t47 @t7)) % 0.52/0.72 (define @t49 () (=> tptp.cIND @t27)) % 0.52/0.72 (define @t50 () (not @t18)) % 0.52/0.72 (define @t51 () (forall @t19 @t50)) % 0.52/0.72 (define @t52 () (not @t51)) % 0.52/0.72 (define @t53 () (@quantifiers_skolemize @t27 0)) % 0.52/0.72 (define @t54 () (forall @t19 (not (= @t26 @t53)))) % 0.52/0.72 (define @t55 () (not @t54)) % 0.52/0.72 (define @t56 () (= tptp.c0 @t53)) % 0.52/0.72 (define @t57 () (or @t56 @t55)) % 0.52/0.72 (define @t58 () (not @t57)) % 0.52/0.72 (define @t59 () (not @t27)) % 0.52/0.72 (define @t60 () (not (= @t53 @t26))) % 0.52/0.72 (define @t61 () (forall @t19 @t60)) % 0.52/0.72 (define @t62 () (not @t61)) % 0.52/0.72 (define @t63 () (or @t56 @t62)) % 0.52/0.72 (define @t64 () (not @t63)) % 0.52/0.72 (define @t65 () (@list true)) % 0.52/0.72 (define @t66 () (@list @t57)) % 0.52/0.72 (define @t67 () (= @t1 @t53)) % 0.52/0.72 (define @t68 () (forall @t4 (or @t67 (not (= @t30 @t53))))) % 0.52/0.72 (define @t69 () (not @t68)) % 0.52/0.72 (define @t70 () (or @t56 @t69)) % 0.52/0.72 (define @t71 () (not (= @t53 @t53))) % 0.52/0.72 (define @t72 () (@var "BOUND_VARIABLE_14674" $$unsorted)) % 0.52/0.72 (define @t73 () (lambda (@list @t72) (not (= @t53 @t72)))) % 0.52/0.72 (define @t74 () (_ @t73 @t53)) % 0.52/0.72 (define @t75 () (not (= @t53 @t30))) % 0.52/0.72 (define @t76 () (_ @t73 @t30)) % 0.52/0.72 (define @t77 () (not (= @t53 @t1))) % 0.52/0.72 (define @t78 () (_ @t73 @t1)) % 0.52/0.72 (define @t79 () (not @t78)) % 0.52/0.72 (define @t80 () (or @t79 @t76)) % 0.52/0.72 (define @t81 () (forall @t4 @t80)) % 0.52/0.72 (define @t82 () (not @t81)) % 0.52/0.72 (define @t83 () (not (= @t53 tptp.c0))) % 0.52/0.72 (define @t84 () (_ @t73 tptp.c0)) % 0.52/0.72 (define @t85 () (not @t84)) % 0.52/0.72 (define @t86 () (or @t85 @t82 @t74)) % 0.52/0.72 (define @t87 () (@quantifiers_skolemize @t68 0)) % 0.52/0.72 (define @t88 () (tptp.cS @t87)) % 0.52/0.72 (define @t89 () (= @t53 @t88)) % 0.52/0.72 (define @t90 () (not @t89)) % 0.52/0.72 (define @t91 () (or (= @t53 @t87) @t90)) % 0.52/0.72 (define @t92 () (not @t91)) % 0.52/0.72 (define @t93 () (not (= @t88 @t53))) % 0.52/0.72 (define @t94 () (or (= @t87 @t53) @t93)) % 0.52/0.72 (define @t95 () (not @t94)) % 0.52/0.72 (assume @p1 @t14) % 0.52/0.72 (assume @p2 @t25) % 0.52/0.72 (assume @p3 true) % 0.52/0.72 (step @p4 :rule refl :args (@t27)) % 0.52/0.72 (step @p5 :rule quant-merge-prenex :args ((= (forall @t12 @t40) @t38))) % 0.52/0.72 (step @p6 :rule alpha_equiv :args (@t41 (@list @t28) (@list @t1))) % 0.52/0.72 (step @p7 :rule refl :args (@t34)) % 0.52/0.72 (step @p8 :rule refl :args (@t36)) % 0.52/0.72 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t42)) % 0.52/0.72 (step @p10 :rule quant-miniscope-or :args ((= @t40 @t42))) % 0.52/0.72 (step @p11 :rule trans :premises (@p10 @p9)) % 0.52/0.72 (step @p12 :rule symm :premises (@p11)) % 0.52/0.72 (step @p13 :rule cong :premises (@p12) :args ((forall @t12 (or @t36 @t34 @t43)))) % 0.52/0.72 (step @p14 :rule trans :premises (@p13 @p5)) % 0.52/0.72 (step @p15 :rule refl :args (@t43)) % 0.52/0.72 (step @p16 :rule refl :args (@t35)) % 0.52/0.72 (step @p17 :rule refl :args (@t9)) % 0.52/0.72 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t9 @t35))) % 0.52/0.72 (step @p19 :rule symm :premises (@p18)) % 0.52/0.72 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.52/0.72 (step @p21 :rule cong :premises (@p20) :args (@t44)) % 0.52/0.72 (step @p22 :rule nary_cong :premises (@p21 @p7 @p15) :args (@t45)) % 0.52/0.72 (step @p23 :rule cong :premises (@p22) :args ((forall @t12 @t45))) % 0.52/0.72 (step @p24 :rule trans :premises (@p23 @p14)) % 0.52/0.72 (step @p25 :rule aci_norm :args ((= (or (or @t44 @t34) @t43) @t45))) % 0.52/0.72 (step @p26 :rule bool-and-de-morgan :args (@t9 @t33 true)) % 0.52/0.72 (step @p27 :rule nary_cong :premises (@p26 @p15) :args ((or (not @t46) @t43))) % 0.52/0.72 (step @p28 :rule trans :premises (@p27 @p25)) % 0.52/0.72 (step @p29 :rule bool-impl-elim :args (@t46 @t43)) % 0.52/0.72 (step @p30 :rule trans :premises (@p29 @p28)) % 0.52/0.72 (step @p31 :rule cong :premises (@p30) :args ((forall @t12 (=> @t46 @t43)))) % 0.52/0.72 (step @p32 :rule trans :premises (@p31 @p24)) % 0.52/0.72 (step @p33 :rule refl :args (@t32)) % 0.52/0.72 (step @p34 :rule refl :args (@t3)) % 0.52/0.72 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t3 @t32))) % 0.52/0.72 (step @p36 :rule symm :premises (@p35)) % 0.52/0.72 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.52/0.72 (step @p38 :rule cong :premises (@p37) :args (@t5)) % 0.52/0.72 (step @p39 :rule refl :args ((_ @t2 @t6))) % 0.52/0.72 (step @p40 :rule refl :args (@t30)) % 0.52/0.72 (step @p41 :rule cong :premises (@p40) :args (@t31)) % 0.52/0.72 (step @p42 :rule trans :premises (@p41 @p39)) % 0.52/0.72 (step @p43 :rule refl :args (@t2)) % 0.52/0.72 (step @p44 :rule ho_cong :premises (@p43 @p40)) % 0.52/0.72 (step @p45 :rule cong :premises (@p44 @p42) :args ((= (_ @t2 @t30) @t31))) % 0.52/0.72 (step @p46 :rule symm :premises (@p45)) % 0.52/0.72 (step @p47 :rule refl :args (@t7)) % 0.52/0.72 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.52/0.72 (step @p49 :rule refl :args (@t6)) % 0.52/0.72 (step @p50 :rule cong :premises (@p49 @p40) :args ((= @t6 @t30))) % 0.52/0.72 (step @p51 :rule symm :premises (@p50)) % 0.52/0.72 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.52/0.72 (step @p53 :rule ho_cong :premises (@p43 @p52)) % 0.52/0.72 (step @p54 :rule trans :premises (@p53 @p48)) % 0.52/0.72 (step @p55 :rule cong :premises (@p37) :args (@t47)) % 0.52/0.72 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t48)) % 0.52/0.72 (step @p57 :rule cong :premises (@p56) :args ((forall @t4 @t48))) % 0.52/0.72 (step @p58 :rule bool-impl-elim :args (@t3 @t7)) % 0.52/0.72 (step @p59 :rule cong :premises (@p58) :args (@t8)) % 0.52/0.72 (step @p60 :rule trans :premises (@p59 @p57)) % 0.52/0.72 (step @p61 :rule refl :args (@t9)) % 0.52/0.72 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t10)) % 0.52/0.72 (step @p63 :rule cong :premises (@p62 @p38) :args (@t11)) % 0.52/0.72 (step @p64 :rule cong :premises (@p63) :args (@t13)) % 0.52/0.72 (step @p65 :rule trans :premises (@p64 @p32)) % 0.52/0.72 (step @p66 :rule refl :args (tptp.cIND)) % 0.52/0.72 (step @p67 :rule cong :premises (@p66 @p65) :args (@t14)) % 0.52/0.72 (step @p68 :rule eq_resolve :premises (@p1 @p67)) % 0.52/0.72 (step @p69 :rule cong :premises (@p68 @p4) :args (@t49)) % 0.52/0.72 (step @p70 :rule cong :premises (@p69) :args ((not @t49))) % 0.52/0.72 (step @p71 :rule refl :args (@t26)) % 0.52/0.72 (step @p72 :rule refl :args (@t16)) % 0.52/0.72 (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t16 @t26))) % 0.52/0.72 (step @p74 :rule symm :premises (@p73)) % 0.52/0.72 (step @p75 :rule eq_resolve :premises (@p72 @p74)) % 0.52/0.72 (step @p76 :rule refl :args (@t17)) % 0.52/0.72 (step @p77 :rule cong :premises (@p76 @p75) :args (@t18)) % 0.52/0.72 (step @p78 :rule cong :premises (@p77) :args (@t50)) % 0.52/0.72 (step @p79 :rule cong :premises (@p78) :args (@t51)) % 0.52/0.72 (step @p80 :rule cong :premises (@p79) :args (@t52)) % 0.52/0.72 (step @p81 :rule exists-elim :args ((= @t20 @t52))) % 0.52/0.72 (step @p82 :rule trans :premises (@p81 @p80)) % 0.52/0.72 (step @p83 :rule eq-symm :args (@t17 tptp.c0)) % 0.52/0.72 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t21)) % 0.52/0.72 (step @p85 :rule cong :premises (@p84) :args (@t23)) % 0.52/0.72 (step @p86 :rule cong :premises (@p66 @p85) :args (@t24)) % 0.52/0.72 (step @p87 :rule cong :premises (@p86) :args (@t25)) % 0.52/0.72 (step @p88 :rule trans :premises (@p87 @p70)) % 0.52/0.72 (step @p89 :rule eq_resolve :premises (@p2 @p88)) % 0.52/0.72 (step @p90 :rule not_implies_elim2 :premises (@p89)) % 0.52/0.72 (step @p91 :rule refl :args (@t58)) % 0.52/0.72 (step @p92 :rule bool-double-not-elim :args (@t27)) % 0.52/0.72 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or (not @t59) @t58))) % 0.52/0.72 (step @p94 :rule eq-symm :args (@t53 @t26)) % 0.52/0.72 (step @p95 :rule cong :premises (@p94) :args (@t60)) % 0.52/0.72 (step @p96 :rule cong :premises (@p95) :args (@t61)) % 0.52/0.72 (step @p97 :rule cong :premises (@p96) :args (@t62)) % 0.52/0.72 (step @p98 :rule refl :args (@t56)) % 0.52/0.72 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t63)) % 0.52/0.72 (step @p100 :rule cong :premises (@p99) :args (@t64)) % 0.52/0.72 (step @p101 :rule refl :args (@t59)) % 0.52/0.72 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t59 @t64))) % 0.52/0.72 (assume-push @p197 @t59) % 0.52/0.72 (step @p104 :rule skolemize :premises (@p90)) % 0.52/0.72 (step-pop @p198 :rule scope :premises (@p104)) % 0.52/0.72 (step @p105 :rule process_scope :premises (@p198) :args (@t64)) % 0.52/0.72 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 0.52/0.72 (step @p108 :rule implies_elim :premises (@p107)) % 0.52/0.72 (step @p109 :rule eq_resolve :premises (@p108 @p93)) % 0.52/0.72 (step @p110 :rule chain_m_resolution :premises (@p109 @p90) :args (@t58 @t65 (@list @t27))) % 0.52/0.72 (step @p111 :rule bool-double-not-elim :args (@t54)) % 0.52/0.72 (step @p112 :rule refl :args (@t57)) % 0.52/0.72 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t57 (not @t55)))) % 0.52/0.72 (step @p114 :rule cnf_or_neg :args (@t57 1)) % 0.52/0.72 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.52/0.72 (step @p116 :rule reordering :premises (@p115) :args ((or @t54 @t57))) % 0.52/0.72 (step @p117 :rule chain_m_resolution :premises (@p116 @p110) :args (@t54 @t65 @t66)) % 0.52/0.72 (step @p118 :rule not_implies_elim1 :premises (@p89)) % 0.52/0.72 (step @p119 :rule aci_norm :args ((= (or @t56 @t69 false) @t70))) % 0.52/0.72 (step @p120 :rule evaluate :args ((not true))) % 0.52/0.72 (step @p121 :rule eq-refl :args (@t53)) % 0.52/0.72 (step @p122 :rule cong :premises (@p121) :args (@t71)) % 0.52/0.72 (step @p123 :rule trans :premises (@p122 @p120)) % 0.52/0.72 (step @p124 :rule beta-reduce :args ((= @t74 @t71))) % 0.52/0.72 (step @p125 :rule trans :premises (@p124 @p123)) % 0.52/0.72 (step @p126 :rule eq-symm :args (@t53 @t30)) % 0.52/0.72 (step @p127 :rule cong :premises (@p126) :args (@t75)) % 0.52/0.72 (step @p128 :rule beta-reduce :args ((= @t76 @t75))) % 0.52/0.72 (step @p129 :rule trans :premises (@p128 @p127)) % 0.52/0.72 (step @p130 :rule bool-double-not-elim :args (@t67)) % 0.52/0.72 (step @p131 :rule eq-symm :args (@t53 @t1)) % 0.52/0.72 (step @p132 :rule cong :premises (@p131) :args (@t77)) % 0.52/0.72 (step @p133 :rule beta-reduce :args ((= @t78 @t77))) % 0.52/0.72 (step @p134 :rule trans :premises (@p133 @p132)) % 0.52/0.72 (step @p135 :rule cong :premises (@p134) :args (@t79)) % 0.52/0.72 (step @p136 :rule trans :premises (@p135 @p130)) % 0.52/0.72 (step @p137 :rule nary_cong :premises (@p136 @p129) :args (@t80)) % 0.52/0.72 (step @p138 :rule cong :premises (@p137) :args (@t81)) % 0.52/0.72 (step @p139 :rule cong :premises (@p138) :args (@t82)) % 0.52/0.72 (step @p140 :rule bool-double-not-elim :args (@t56)) % 0.52/0.72 (step @p141 :rule eq-symm :args (@t53 tptp.c0)) % 0.52/0.72 (step @p142 :rule cong :premises (@p141) :args (@t83)) % 0.52/0.72 (step @p143 :rule beta-reduce :args ((= @t84 @t83))) % 0.52/0.72 (step @p144 :rule trans :premises (@p143 @p142)) % 0.52/0.72 (step @p145 :rule cong :premises (@p144) :args (@t85)) % 0.52/0.72 (step @p146 :rule trans :premises (@p145 @p140)) % 0.52/0.72 (step @p147 :rule nary_cong :premises (@p146 @p139 @p125) :args (@t86)) % 0.52/0.72 (step @p148 :rule trans :premises (@p147 @p119)) % 0.52/0.72 (step @p149 :rule refl :args (@t38)) % 0.52/0.72 (step @p150 :rule cong :premises (@p149 @p148) :args ((=> @t38 @t86))) % 0.52/0.72 (assume-push @p199 @t38) % 0.52/0.72 (step @p152 :rule instantiate :premises (@p118) :args ((@list @t73 @t53))) % 0.52/0.72 (step-pop @p200 :rule scope :premises (@p152)) % 0.52/0.72 (step @p153 :rule process_scope :premises (@p200) :args (@t86)) % 0.52/0.72 (step @p155 :rule eq_resolve :premises (@p153 @p150)) % 0.52/0.72 (step @p156 :rule implies_elim :premises (@p155)) % 0.52/0.72 (step @p157 :rule chain_m_resolution :premises (@p156 @p118) :args (@t70 (@list false) (@list @t38))) % 0.52/0.72 (step @p158 :rule cnf_or_neg :args (@t57 0)) % 0.52/0.72 (step @p159 :rule chain_m_resolution :premises (@p158 @p110) :args ((not @t56) @t65 @t66)) % 0.52/0.72 (step @p160 :rule cnf_or_pos :args (@t70)) % 0.52/0.72 (step @p161 :rule reordering :premises (@p160) :args ((or @t56 @t69 (not @t70)))) % 0.52/0.72 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p157) :args (@t69 (@list true false) (@list @t56 @t70))) % 0.52/0.72 (step @p163 :rule refl :args (@t92)) % 0.52/0.72 (step @p164 :rule bool-double-not-elim :args (@t68)) % 0.52/0.72 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or (not @t69) @t92))) % 0.52/0.72 (step @p166 :rule eq-symm :args (@t88 @t53)) % 0.52/0.72 (step @p167 :rule cong :premises (@p166) :args (@t93)) % 0.52/0.72 (step @p168 :rule eq-symm :args (@t87 @t53)) % 0.52/0.72 (step @p169 :rule nary_cong :premises (@p168 @p167) :args (@t94)) % 0.52/0.72 (step @p170 :rule cong :premises (@p169) :args (@t95)) % 0.52/0.72 (step @p171 :rule refl :args (@t69)) % 0.52/0.72 (step @p172 :rule cong :premises (@p171 @p170) :args ((=> @t69 @t95))) % 0.52/0.72 (assume-push @p201 @t69) % 0.52/0.72 (step @p174 :rule skolemize :premises (@p162)) % 0.52/0.72 (step-pop @p202 :rule scope :premises (@p174)) % 0.52/0.72 (step @p175 :rule process_scope :premises (@p202) :args (@t95)) % 0.52/0.72 (step @p177 :rule eq_resolve :premises (@p175 @p172)) % 0.52/0.72 (step @p178 :rule implies_elim :premises (@p177)) % 0.52/0.72 (step @p179 :rule eq_resolve :premises (@p178 @p165)) % 0.52/0.72 (step @p180 :rule chain_m_resolution :premises (@p179 @p162) :args (@t92 @t65 (@list @t68))) % 0.52/0.72 (step @p181 :rule bool-double-not-elim :args (@t89)) % 0.52/0.72 (step @p182 :rule refl :args (@t91)) % 0.52/0.72 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t91 (not @t90)))) % 0.52/0.72 (step @p184 :rule cnf_or_neg :args (@t91 1)) % 0.52/0.72 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 0.52/0.72 (step @p186 :rule reordering :premises (@p185) :args ((or @t89 @t91))) % 0.52/0.72 (step @p187 :rule chain_m_resolution :premises (@p186 @p180) :args (@t89 @t65 (@list @t91))) % 0.52/0.72 (step @p188 :rule refl :args (@t54)) % 0.52/0.72 (step @p189 :rule cong :premises (@p188 @p167) :args ((=> @t54 @t93))) % 0.52/0.72 (assume-push @p203 @t54) % 0.52/0.72 (step @p191 :rule instantiate :premises (@p117) :args ((@list @t87))) % 0.52/0.72 (step-pop @p204 :rule scope :premises (@p191)) % 0.52/0.72 (step @p192 :rule process_scope :premises (@p204) :args (@t93)) % 0.52/0.72 (step @p194 :rule eq_resolve :premises (@p192 @p189)) % 0.52/0.72 (step @p195 :rule implies_elim :premises (@p194)) % 0.52/0.72 (step @p196 false :rule chain_m_resolution :premises (@p195 @p187 @p117) :args (false (@list false false) (@list @t89 @t54))) % 0.52/0.72 ) % 0.52/0.72 % SZS output end Proof % 0.52/0.72 % cvc5 exiting %------------------------------------------------------------------------------