%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS172+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:29:04 AM UTC 2026 % Result : Theorem 0.31s 0.57s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS172+1 : TPTP v9.2.1. Released v3.1.0. % 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 : n007.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 05:27:56 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.57 % SZS status Theorem % 0.31/0.57 % SZS output start Proof % 0.31/0.57 ( % 0.31/0.57 (declare-sort $$unsorted 0) % 0.31/0.57 (declare-const tptp.iv $$unsorted) % 0.31/0.57 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.rq (-> $$unsorted $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.rp (-> $$unsorted $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.cd (-> $$unsorted Bool)) % 0.31/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.31/0.57 (define @t2 () (@var "A" $$unsorted)) % 0.31/0.57 (define @t3 () (= @t2 @t1)) % 0.31/0.57 (define @t4 () (@list @t2 @t1)) % 0.31/0.57 (define @t5 () (@var "C" $$unsorted)) % 0.31/0.57 (define @t6 () (@list @t2 @t1 @t5)) % 0.31/0.57 (define @t7 () (@var "X" $$unsorted)) % 0.31/0.57 (define @t8 () (not (tptp.cowlNothing @t7))) % 0.31/0.57 (define @t9 () (tptp.cowlThing @t7)) % 0.31/0.57 (define @t10 () (@list @t7)) % 0.31/0.57 (define @t11 () (forall @t10 (and @t9 @t8))) % 0.31/0.57 (define @t12 () (forall @t10 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.31/0.57 (define @t13 () (tptp.cd @t7)) % 0.31/0.57 (define @t14 () (@var "Z" $$unsorted)) % 0.31/0.57 (define @t15 () (@var "Y" $$unsorted)) % 0.31/0.57 (define @t16 () (= @t15 @t14)) % 0.31/0.57 (define @t17 () (tptp.rp @t7 @t14)) % 0.31/0.57 (define @t18 () (tptp.rp @t7 @t15)) % 0.31/0.57 (define @t19 () (and @t18 @t17)) % 0.31/0.57 (define @t20 () (@list @t7 @t15 @t14)) % 0.31/0.57 (define @t21 () (forall @t20 (=> @t19 @t16))) % 0.31/0.57 (define @t22 () (@list @t7 @t15)) % 0.31/0.57 (define @t23 () (forall @t22 (=> @t18 @t13))) % 0.31/0.57 (define @t24 () (tptp.rq @t7 @t14)) % 0.31/0.57 (define @t25 () (tptp.rq @t7 @t15)) % 0.31/0.57 (define @t26 () (and @t25 @t24)) % 0.31/0.57 (define @t27 () (forall @t20 (=> @t26 @t16))) % 0.31/0.57 (define @t28 () (forall @t22 (=> @t25 @t13))) % 0.31/0.57 (define @t29 () (forall @t22 (= @t25 @t18))) % 0.31/0.57 (define @t30 () (and @t11 @t12 @t29)) % 0.31/0.57 (define @t31 () (not @t30)) % 0.31/0.57 (define @t32 () (not @t17)) % 0.31/0.57 (define @t33 () (not @t18)) % 0.31/0.57 (define @t34 () (or @t33 @t32 @t16)) % 0.31/0.57 (define @t35 () (forall @t22 (= @t18 @t25))) % 0.31/0.57 (define @t36 () (@quantifiers_skolemize @t35 0)) % 0.31/0.57 (define @t37 () (@list @t36)) % 0.31/0.57 (define @t38 () (@quantifiers_skolemize @t35 1)) % 0.31/0.57 (define @t39 () (@list @t36 @t38)) % 0.31/0.57 (define @t40 () (tptp.cd @t36)) % 0.31/0.57 (define @t41 () (tptp.rq @t36 @t38)) % 0.31/0.57 (define @t42 () (not @t41)) % 0.31/0.57 (define @t43 () (or @t42 @t40)) % 0.31/0.57 (define @t44 () (tptp.rp @t36 @t38)) % 0.31/0.57 (define @t45 () (not @t44)) % 0.31/0.57 (define @t46 () (or @t45 @t40)) % 0.31/0.57 (define @t47 () (forall @t10 @t8)) % 0.31/0.57 (define @t48 () (@list @t7)) % 0.31/0.57 (define @t49 () (@var "BOUND_VARIABLE_7631" $$unsorted)) % 0.31/0.57 (define @t50 () (forall @t10 @t9)) % 0.31/0.57 (define @t51 () (@var "BOUND_VARIABLE_7626" $$unsorted)) % 0.31/0.57 (define @t52 () (and @t50 @t47)) % 0.31/0.57 (define @t53 () (forall (@list @t49) (not (tptp.cowlNothing @t49)))) % 0.31/0.57 (define @t54 () (forall (@list @t51) (tptp.cowlThing @t51))) % 0.31/0.57 (define @t55 () (not @t35)) % 0.31/0.57 (define @t56 () (= @t44 @t41)) % 0.31/0.57 (define @t57 () (tptp.rq @t36 tptp.iv)) % 0.31/0.57 (define @t58 () (= @t40 @t57)) % 0.31/0.57 (define @t59 () (not @t40)) % 0.31/0.57 (define @t60 () (@list false false)) % 0.31/0.57 (define @t61 () (not @t24)) % 0.31/0.57 (define @t62 () (not @t25)) % 0.31/0.57 (define @t63 () (or @t62 @t61 @t16)) % 0.31/0.57 (define @t64 () (not @t57)) % 0.31/0.57 (define @t65 () (= @t38 tptp.iv)) % 0.31/0.57 (define @t66 () (or @t42 @t64 @t65)) % 0.31/0.57 (define @t67 () (forall @t20 @t63)) % 0.31/0.57 (define @t68 () (@list @t36 @t38 tptp.iv)) % 0.31/0.57 (define @t69 () (= tptp.iv @t38)) % 0.31/0.57 (define @t70 () (or @t42 @t64 @t69)) % 0.31/0.57 (define @t71 () (tptp.rp @t36 tptp.iv)) % 0.31/0.57 (define @t72 () (= @t40 @t71)) % 0.31/0.57 (define @t73 () (not @t69)) % 0.31/0.57 (define @t74 () (not @t71)) % 0.31/0.57 (define @t75 () (= false true)) % 0.31/0.57 (define @t76 () (and @t71 @t69 @t45)) % 0.31/0.57 (define @t77 () (@list true false)) % 0.31/0.57 (define @t78 () (and @t57 @t69 @t42)) % 0.31/0.57 (define @t79 () (or @t45 @t74 @t69)) % 0.31/0.57 (define @t80 () (not @t79)) % 0.31/0.57 (define @t81 () (or @t45 @t74 @t65)) % 0.31/0.57 (define @t82 () (forall @t20 @t34)) % 0.31/0.57 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cd @t2)) (tptp.cd @t1)))) % 0.31/0.57 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.31/0.57 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.31/0.57 (assume @p4 (forall @t6 (=> (and @t3 (tptp.rp @t2 @t5)) (tptp.rp @t1 @t5)))) % 0.31/0.57 (assume @p5 (forall @t6 (=> (and @t3 (tptp.rp @t5 @t2)) (tptp.rp @t5 @t1)))) % 0.31/0.57 (assume @p6 (forall @t6 (=> (and @t3 (tptp.rq @t2 @t5)) (tptp.rq @t1 @t5)))) % 0.31/0.57 (assume @p7 (forall @t6 (=> (and @t3 (tptp.rq @t5 @t2)) (tptp.rq @t5 @t1)))) % 0.31/0.57 (assume @p8 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.31/0.57 (assume @p9 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.31/0.57 (assume @p10 @t11) % 0.31/0.57 (assume @p11 @t12) % 0.31/0.57 (assume @p12 (forall @t10 (= @t13 (tptp.rq @t7 tptp.iv)))) % 0.31/0.57 (assume @p13 (forall @t10 (= @t13 (tptp.rp @t7 tptp.iv)))) % 0.31/0.57 (assume @p14 @t21) % 0.31/0.57 (assume @p15 @t23) % 0.31/0.57 (assume @p16 @t27) % 0.31/0.57 (assume @p17 @t28) % 0.31/0.57 (assume @p18 (tptp.cowlThing tptp.iv)) % 0.31/0.57 (assume @p19 @t31) % 0.31/0.57 (assume @p20 true) % 0.31/0.57 (step @p21 :rule aci_norm :args ((= (or (or @t33 @t32) @t16) @t34))) % 0.31/0.57 (step @p22 :rule refl :args (@t16)) % 0.31/0.57 (step @p23 :rule bool-and-de-morgan :args (@t18 @t17 true)) % 0.31/0.57 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t19) @t16))) % 0.31/0.57 (step @p25 :rule trans :premises (@p24 @p21)) % 0.31/0.57 (step @p26 :rule bool-impl-elim :args (@t19 @t16)) % 0.31/0.57 (step @p27 :rule trans :premises (@p26 @p25)) % 0.31/0.57 (step @p28 :rule cong :premises (@p27) :args (@t21)) % 0.31/0.57 (step @p29 :rule eq_resolve :premises (@p14 @p28)) % 0.31/0.57 (step @p30 :rule instantiate :premises (@p12) :args (@t37)) % 0.31/0.57 (step @p31 :rule bool-impl-elim :args (@t25 @t13)) % 0.31/0.57 (step @p32 :rule cong :premises (@p31) :args (@t28)) % 0.31/0.57 (step @p33 :rule eq_resolve :premises (@p17 @p32)) % 0.31/0.57 (step @p34 :rule instantiate :premises (@p33) :args (@t39)) % 0.31/0.57 (step @p35 :rule cnf_or_pos :args (@t43)) % 0.31/0.57 (step @p36 :rule reordering :premises (@p35) :args ((or @t42 @t40 (not @t43)))) % 0.31/0.57 (step @p37 :rule bool-impl-elim :args (@t18 @t13)) % 0.31/0.57 (step @p38 :rule cong :premises (@p37) :args (@t23)) % 0.31/0.57 (step @p39 :rule eq_resolve :premises (@p15 @p38)) % 0.31/0.57 (step @p40 :rule instantiate :premises (@p39) :args (@t39)) % 0.31/0.57 (step @p41 :rule cnf_or_pos :args (@t46)) % 0.31/0.57 (step @p42 :rule reordering :premises (@p41) :args ((or @t45 @t40 (not @t46)))) % 0.31/0.57 (step @p43 :rule alpha_equiv :args (@t47 @t48 (@list @t49))) % 0.31/0.57 (step @p44 :rule alpha_equiv :args (@t50 @t48 (@list @t51))) % 0.31/0.57 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t52)) % 0.31/0.57 (step @p46 :rule quant-miniscope-and :args ((= @t11 @t52))) % 0.31/0.57 (step @p47 :rule trans :premises (@p46 @p45)) % 0.31/0.57 (step @p48 :rule eq_resolve :premises (@p10 @p47)) % 0.31/0.57 (step @p49 :rule and_elim :premises (@p48) :args (1)) % 0.31/0.57 (step @p50 :rule and_elim :premises (@p48) :args (0)) % 0.31/0.57 (step @p51 :rule aci_norm :args ((= (and (and @t54 @t53) @t12 @t35) (and @t12 @t35 @t54 @t53)))) % 0.31/0.57 (step @p52 :rule eq-symm :args (@t25 @t18)) % 0.31/0.57 (step @p53 :rule cong :premises (@p52) :args (@t29)) % 0.31/0.57 (step @p54 :rule refl :args (@t12)) % 0.31/0.57 (step @p55 :rule nary_cong :premises (@p47 @p54 @p53) :args (@t30)) % 0.31/0.57 (step @p56 :rule trans :premises (@p55 @p51)) % 0.31/0.57 (step @p57 :rule cong :premises (@p56) :args (@t31)) % 0.31/0.57 (step @p58 :rule eq_resolve :premises (@p19 @p57)) % 0.31/0.57 (step @p59 :rule not_and :premises (@p58)) % 0.31/0.57 (step @p60 :rule reordering :premises (@p59) :args ((or (not @t54) (not @t53) (not @t12) @t55))) % 0.31/0.57 (step @p61 :rule chain_m_resolution :premises (@p60 @p50 @p49 @p11) :args (@t55 (@list false false false) (@list @t54 @t53 @t12))) % 0.31/0.57 (step @p62 :rule skolemize :premises (@p61)) % 0.31/0.57 (step @p63 :rule cnf_equiv_neg1 :args (@t56)) % 0.31/0.57 (step @p64 :rule reordering :premises (@p63) :args ((or @t44 @t41 @t56))) % 0.31/0.57 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p42 @p40 @p36 @p34) :args (@t40 (@list true true false true false) (@list @t56 @t44 @t46 @t41 @t43))) % 0.31/0.57 (step @p66 :rule cnf_equiv_pos1 :args (@t58)) % 0.31/0.57 (step @p67 :rule reordering :premises (@p66) :args ((or @t59 @t57 (not @t58)))) % 0.31/0.57 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p30) :args (@t57 @t60 (@list @t40 @t58))) % 0.31/0.57 (step @p69 :rule aci_norm :args ((= (or (or @t62 @t61) @t16) @t63))) % 0.31/0.57 (step @p70 :rule bool-and-de-morgan :args (@t25 @t24 true)) % 0.31/0.57 (step @p71 :rule nary_cong :premises (@p70 @p22) :args ((or (not @t26) @t16))) % 0.31/0.57 (step @p72 :rule trans :premises (@p71 @p69)) % 0.31/0.57 (step @p73 :rule bool-impl-elim :args (@t26 @t16)) % 0.31/0.57 (step @p74 :rule trans :premises (@p73 @p72)) % 0.31/0.57 (step @p75 :rule cong :premises (@p74) :args (@t27)) % 0.31/0.57 (step @p76 :rule eq_resolve :premises (@p16 @p75)) % 0.31/0.57 (step @p77 :rule eq-symm :args (@t38 tptp.iv)) % 0.31/0.57 (step @p78 :rule refl :args (@t64)) % 0.31/0.57 (step @p79 :rule refl :args (@t42)) % 0.31/0.57 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77) :args (@t66)) % 0.31/0.57 (step @p81 :rule refl :args (@t67)) % 0.31/0.57 (step @p82 :rule cong :premises (@p81 @p80) :args ((=> @t67 @t66))) % 0.31/0.57 (assume-push @p174 @t67) % 0.31/0.57 (step @p84 :rule instantiate :premises (@p76) :args (@t68)) % 0.31/0.57 (step-pop @p175 :rule scope :premises (@p84)) % 0.31/0.57 (step @p85 :rule process_scope :premises (@p175) :args (@t66)) % 0.31/0.57 (step @p87 :rule eq_resolve :premises (@p85 @p82)) % 0.31/0.57 (step @p88 :rule implies_elim :premises (@p87)) % 0.31/0.57 (step @p89 :rule chain_m_resolution :premises (@p88 @p76) :args (@t70 (@list false) (@list @t67))) % 0.31/0.57 (step @p90 :rule cnf_or_pos :args (@t70)) % 0.31/0.57 (step @p91 :rule reordering :premises (@p90) :args ((or @t42 @t64 @t69 (not @t70)))) % 0.31/0.57 (step @p92 :rule instantiate :premises (@p13) :args (@t37)) % 0.31/0.57 (step @p93 :rule cnf_equiv_pos1 :args (@t72)) % 0.31/0.57 (step @p94 :rule reordering :premises (@p93) :args ((or @t59 @t71 (not @t72)))) % 0.31/0.57 (step @p95 :rule chain_m_resolution :premises (@p94 @p65 @p92) :args (@t71 @t60 (@list @t40 @t72))) % 0.31/0.57 (step @p96 :rule refl :args (@t73)) % 0.31/0.57 (step @p97 :rule refl :args (@t74)) % 0.31/0.57 (step @p98 :rule bool-double-not-elim :args (@t44)) % 0.31/0.57 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96) :args ((or (not @t45) @t74 @t73))) % 0.31/0.57 (assume-push @p176 @t71) % 0.31/0.57 (assume-push @p177 @t69) % 0.31/0.57 (assume-push @p178 @t45) % 0.31/0.57 (step @p103 :rule evaluate :args (@t75)) % 0.31/0.57 (step @p104 :rule true_intro :premises (@p95)) % 0.31/0.57 (step @p105 :rule symm :premises (@p177)) % 0.31/0.57 (step @p106 :rule refl :args (@t36)) % 0.31/0.57 (step @p107 :rule cong :premises (@p106 @p105) :args (@t44)) % 0.31/0.57 (step @p108 :rule false_intro :premises (@p178)) % 0.31/0.57 (step @p109 :rule symm :premises (@p108)) % 0.31/0.57 (step @p110 :rule trans :premises (@p109 @p107 @p104)) % 0.31/0.57 (step @p111 false :rule eq_resolve :premises (@p110 @p103)) % 0.31/0.57 (step-pop @p179 :rule scope :premises (@p111)) % 0.31/0.57 (step-pop @p180 :rule scope :premises (@p179)) % 0.31/0.57 (step-pop @p181 :rule scope :premises (@p180)) % 0.31/0.57 (step @p112 :rule process_scope :premises (@p181) :args (false)) % 0.31/0.57 (assume-push @p182 @t45) % 0.31/0.57 (assume-push @p183 @t71) % 0.31/0.57 (assume-push @p184 @t69) % 0.31/0.57 (step @p119 :rule and_intro :premises (@p95 @p184 @p182)) % 0.31/0.57 (step-pop @p185 :rule scope :premises (@p119)) % 0.31/0.57 (step-pop @p186 :rule scope :premises (@p185)) % 0.31/0.57 (step-pop @p187 :rule scope :premises (@p186)) % 0.31/0.57 (step @p120 :rule process_scope :premises (@p187) :args (@t76)) % 0.31/0.57 (step @p124 :rule implies_elim :premises (@p120)) % 0.31/0.57 (step @p125 :rule resolution :premises (@p124 @p112) :args (true @t76)) % 0.31/0.57 (step @p126 :rule not_and :premises (@p125)) % 0.31/0.57 (step @p127 :rule eq_resolve :premises (@p126 @p99)) % 0.31/0.57 (step @p128 :rule chain_m_resolution :premises (@p127 @p95 @p91 @p89 @p68 @p64 @p62) :args (@t44 (@list false false false false false true) (@list @t71 @t69 @t70 @t57 @t41 @t56))) % 0.31/0.57 (step @p129 :rule cnf_equiv_neg2 :args (@t56)) % 0.31/0.57 (step @p130 :rule chain_m_resolution :premises (@p129 @p62 @p128) :args (@t42 @t77 (@list @t56 @t44))) % 0.31/0.57 (step @p131 :rule bool-double-not-elim :args (@t41)) % 0.31/0.57 (step @p132 :rule nary_cong :premises (@p131 @p78 @p96) :args ((or (not @t42) @t64 @t73))) % 0.31/0.57 (assume-push @p188 @t57) % 0.31/0.57 (assume-push @p189 @t69) % 0.31/0.57 (assume-push @p190 @t42) % 0.31/0.57 (step @p103 :rule evaluate :args (@t75)) % 0.31/0.57 (step @p136 :rule true_intro :premises (@p68)) % 0.31/0.57 (step @p137 :rule symm :premises (@p189)) % 0.31/0.57 (step @p106 :rule refl :args (@t36)) % 0.31/0.57 (step @p138 :rule cong :premises (@p106 @p137) :args (@t41)) % 0.31/0.57 (step @p139 :rule false_intro :premises (@p190)) % 0.31/0.57 (step @p140 :rule symm :premises (@p139)) % 0.31/0.57 (step @p141 :rule trans :premises (@p140 @p138 @p136)) % 0.31/0.57 (step @p142 false :rule eq_resolve :premises (@p141 @p103)) % 0.31/0.57 (step-pop @p191 :rule scope :premises (@p142)) % 0.31/0.57 (step-pop @p192 :rule scope :premises (@p191)) % 0.31/0.57 (step-pop @p193 :rule scope :premises (@p192)) % 0.31/0.57 (step @p143 :rule process_scope :premises (@p193) :args (false)) % 0.31/0.57 (assume-push @p194 @t42) % 0.31/0.57 (assume-push @p195 @t57) % 0.31/0.57 (assume-push @p196 @t69) % 0.31/0.57 (step @p150 :rule and_intro :premises (@p68 @p196 @p194)) % 0.31/0.57 (step-pop @p197 :rule scope :premises (@p150)) % 0.31/0.57 (step-pop @p198 :rule scope :premises (@p197)) % 0.31/0.57 (step-pop @p199 :rule scope :premises (@p198)) % 0.31/0.57 (step @p151 :rule process_scope :premises (@p199) :args (@t78)) % 0.31/0.57 (step @p155 :rule implies_elim :premises (@p151)) % 0.31/0.57 (step @p156 :rule resolution :premises (@p155 @p143) :args (true @t78)) % 0.40/0.57 (step @p157 :rule not_and :premises (@p156)) % 0.40/0.57 (step @p158 :rule eq_resolve :premises (@p157 @p132)) % 0.40/0.57 (step @p159 :rule chain_m_resolution :premises (@p158 @p130 @p68) :args (@t73 @t77 (@list @t41 @t57))) % 0.40/0.57 (step @p160 :rule cnf_or_pos :args (@t79)) % 0.40/0.57 (step @p161 :rule reordering :premises (@p160) :args ((or @t45 @t74 @t69 @t80))) % 0.40/0.57 (step @p162 :rule chain_m_resolution :premises (@p161 @p128 @p95 @p159) :args (@t80 (@list false false true) (@list @t44 @t71 @t69))) % 0.40/0.57 (step @p163 :rule refl :args (@t45)) % 0.40/0.57 (step @p164 :rule nary_cong :premises (@p163 @p97 @p77) :args (@t81)) % 0.40/0.57 (step @p165 :rule refl :args (@t82)) % 0.40/0.57 (step @p166 :rule cong :premises (@p165 @p164) :args ((=> @t82 @t81))) % 0.40/0.57 (assume-push @p200 @t82) % 0.40/0.57 (step @p168 :rule instantiate :premises (@p29) :args (@t68)) % 0.40/0.57 (step-pop @p201 :rule scope :premises (@p168)) % 0.40/0.57 (step @p169 :rule process_scope :premises (@p201) :args (@t81)) % 0.40/0.57 (step @p171 :rule eq_resolve :premises (@p169 @p166)) % 0.40/0.57 (step @p172 :rule implies_elim :premises (@p171)) % 0.40/0.57 (step @p173 false :rule chain_m_resolution :premises (@p172 @p162 @p29) :args (false @t77 (@list @t79 @t82))) % 0.40/0.58 ) % 0.40/0.58 % SZS output end Proof % 0.40/0.58 % cvc5 exiting %------------------------------------------------------------------------------