%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU902^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:53:30 AM UTC 2026 % Result : Theorem 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU902^5 : TPTP v9.2.1. Released v4.0.0. % 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 : n028.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 17:58:35 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.49 %----Proving TH0 % 0.36/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.d (-> $$unsorted Bool)) % 0.36/0.57 (define @t1 () (@var "Xh" (-> (-> $$unsorted Bool) $$unsorted))) % 0.36/0.57 (define @t2 () (_ @t1 tptp.d)) % 0.36/0.57 (define @t3 () (_ tptp.d @t2)) % 0.36/0.57 (define @t4 () (not @t3)) % 0.36/0.57 (define @t5 () (@var "Xt" (-> $$unsorted Bool))) % 0.36/0.57 (define @t6 () (_ @t1 @t5)) % 0.36/0.57 (define @t7 () (@var "Xz" $$unsorted)) % 0.36/0.57 (define @t8 () (= @t7 @t6)) % 0.36/0.57 (define @t9 () (_ @t5 @t6)) % 0.36/0.57 (define @t10 () (not @t9)) % 0.36/0.57 (define @t11 () (and @t10 @t8)) % 0.36/0.57 (define @t12 () (@list @t5)) % 0.36/0.57 (define @t13 () (exists @t12 @t11)) % 0.36/0.57 (define @t14 () (@list @t7)) % 0.36/0.57 (define @t15 () (lambda @t14 @t13)) % 0.36/0.57 (define @t16 () (= tptp.d @t15)) % 0.36/0.57 (define @t17 () (@var "Xq" (-> $$unsorted Bool))) % 0.36/0.57 (define @t18 () (@var "Xp" (-> $$unsorted Bool))) % 0.36/0.57 (define @t19 () (= @t18 @t17)) % 0.36/0.57 (define @t20 () (_ @t1 @t17)) % 0.36/0.57 (define @t21 () (_ @t1 @t18)) % 0.36/0.57 (define @t22 () (= @t21 @t20)) % 0.36/0.57 (define @t23 () (@list @t18 @t17)) % 0.36/0.57 (define @t24 () (forall @t23 (=> @t22 @t19))) % 0.36/0.57 (define @t25 () (and @t24 @t16)) % 0.36/0.57 (define @t26 () (=> @t25 @t4)) % 0.36/0.57 (define @t27 () (@list @t1)) % 0.36/0.57 (define @t28 () (forall @t27 @t26)) % 0.36/0.57 (define @t29 () (not @t28)) % 0.36/0.57 (define @t30 () (_ @t1 tptp.d)) % 0.36/0.57 (define @t31 () (tptp.d @t30)) % 0.36/0.57 (define @t32 () (_ @t1 @t5)) % 0.36/0.57 (define @t33 () (_ @t5 @t32)) % 0.36/0.57 (define @t34 () (= tptp.d (lambda @t14 (not (forall @t12 (or @t33 (not (= @t7 @t32)))))))) % 0.36/0.57 (define @t35 () (not @t34)) % 0.36/0.57 (define @t36 () (_ @t1 @t17)) % 0.36/0.57 (define @t37 () (_ @t1 @t18)) % 0.36/0.57 (define @t38 () (forall @t23 (or (not (= @t37 @t36)) @t19))) % 0.36/0.57 (define @t39 () (not @t38)) % 0.36/0.57 (define @t40 () (or @t39 @t35 @t4)) % 0.36/0.57 (define @t41 () (and @t38 @t34)) % 0.36/0.57 (define @t42 () (not @t8)) % 0.36/0.57 (define @t43 () (or @t9 @t42)) % 0.36/0.57 (define @t44 () (forall @t12 (not @t11))) % 0.36/0.57 (define @t45 () (not @t44)) % 0.36/0.57 (define @t46 () (not @t22)) % 0.36/0.57 (define @t47 () (or @t46 @t19)) % 0.36/0.57 (define @t48 () (forall @t27 (or @t39 @t35 (not @t31)))) % 0.36/0.57 (define @t49 () (@quantifiers_skolemize @t48 0)) % 0.36/0.57 (define @t50 () (_ @t49 tptp.d)) % 0.36/0.57 (define @t51 () (tptp.d @t50)) % 0.36/0.57 (define @t52 () (not @t51)) % 0.36/0.57 (define @t53 () (_ @t49 @t5)) % 0.36/0.57 (define @t54 () (_ @t5 @t53)) % 0.36/0.57 (define @t55 () (lambda @t14 (not (forall @t12 (or @t54 (not (= @t7 @t53))))))) % 0.36/0.57 (define @t56 () (@purify @t55)) % 0.36/0.57 (define @t57 () (= tptp.d @t56)) % 0.36/0.57 (define @t58 () (not @t57)) % 0.36/0.57 (define @t59 () (forall @t23 (or (not (= (_ @t49 @t18) (_ @t49 @t17))) @t19))) % 0.36/0.57 (define @t60 () (not @t59)) % 0.36/0.57 (define @t61 () (or @t60 @t58 @t52)) % 0.36/0.57 (define @t62 () (not @t61)) % 0.36/0.57 (define @t63 () (not @t48)) % 0.36/0.57 (define @t64 () (= tptp.d @t55)) % 0.36/0.57 (define @t65 () (not @t64)) % 0.36/0.57 (define @t66 () (or @t60 @t65 @t52)) % 0.36/0.57 (define @t67 () (not @t66)) % 0.36/0.57 (define @t68 () (@list true)) % 0.36/0.57 (define @t69 () (@list @t61)) % 0.36/0.57 (define @t70 () (forall @t12 (or @t54 (not (= @t53 @t50))))) % 0.36/0.57 (define @t71 () (not @t70)) % 0.36/0.57 (define @t72 () (_ @t49 tptp.d)) % 0.36/0.57 (define @t73 () (_ tptp.d @t50)) % 0.36/0.57 (define @t74 () (= @t73 @t71)) % 0.36/0.57 (define @t75 () (=> @t57 @t74)) % 0.36/0.57 (define @t76 () (= @t51 @t71)) % 0.36/0.57 (define @t77 () (@list false false)) % 0.36/0.57 (define @t78 () (@quantifiers_skolemize @t70 0)) % 0.36/0.57 (define @t79 () (_ @t49 @t78)) % 0.36/0.57 (define @t80 () (= @t50 @t79)) % 0.36/0.57 (define @t81 () (not @t80)) % 0.36/0.57 (define @t82 () (_ @t78 @t79)) % 0.36/0.57 (define @t83 () (or @t82 @t81)) % 0.36/0.57 (define @t84 () (not @t83)) % 0.36/0.57 (define @t85 () (not (= @t79 @t50))) % 0.36/0.57 (define @t86 () (or @t82 @t85)) % 0.36/0.57 (define @t87 () (not @t86)) % 0.36/0.57 (define @t88 () (@list @t83)) % 0.36/0.57 (define @t89 () (= tptp.d @t78)) % 0.36/0.57 (define @t90 () (or @t81 @t89)) % 0.36/0.57 (assume @p1 @t29) % 0.36/0.57 (assume @p2 true) % 0.36/0.57 (step @p3 :rule evaluate :args ((= false true))) % 0.36/0.57 (step @p4 :rule refl :args ((tptp.d @t2))) % 0.36/0.57 (step @p5 :rule refl :args (@t30)) % 0.36/0.57 (step @p6 :rule cong :premises (@p5) :args (@t31)) % 0.36/0.57 (step @p7 :rule trans :premises (@p6 @p4)) % 0.36/0.57 (step @p8 :rule refl :args (tptp.d)) % 0.36/0.57 (step @p9 :rule ho_cong :premises (@p8 @p5)) % 0.36/0.57 (step @p10 :rule cong :premises (@p9 @p7) :args ((= (_ tptp.d @t30) @t31))) % 0.36/0.57 (step @p11 :rule symm :premises (@p10)) % 0.36/0.57 (step @p12 :rule refl :args (@t3)) % 0.36/0.57 (step @p13 :rule eq_resolve :premises (@p12 @p11)) % 0.36/0.57 (step @p14 :rule refl :args (@t2)) % 0.36/0.57 (step @p15 :rule cong :premises (@p14 @p5) :args ((= @t2 @t30))) % 0.36/0.57 (step @p16 :rule symm :premises (@p15)) % 0.36/0.57 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.36/0.57 (step @p18 :rule ho_cong :premises (@p8 @p17)) % 0.36/0.57 (step @p19 :rule trans :premises (@p18 @p13)) % 0.36/0.57 (step @p20 :rule cong :premises (@p19) :args (@t4)) % 0.36/0.57 (step @p21 :rule refl :args (@t35)) % 0.36/0.57 (step @p22 :rule refl :args (@t39)) % 0.36/0.57 (step @p23 :rule nary_cong :premises (@p22 @p21 @p20) :args (@t40)) % 0.36/0.57 (step @p24 :rule cong :premises (@p23) :args ((forall @t27 @t40))) % 0.36/0.57 (step @p25 :rule aci_norm :args ((= (or (or @t39 @t35) @t4) @t40))) % 0.36/0.57 (step @p26 :rule refl :args (@t4)) % 0.36/0.57 (step @p27 :rule bool-and-de-morgan :args (@t38 @t34 true)) % 0.36/0.57 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or (not @t41) @t4))) % 0.36/0.57 (step @p29 :rule trans :premises (@p28 @p25)) % 0.36/0.57 (step @p30 :rule bool-impl-elim :args (@t41 @t4)) % 0.36/0.57 (step @p31 :rule trans :premises (@p30 @p29)) % 0.36/0.57 (step @p32 :rule cong :premises (@p31) :args ((forall @t27 (=> @t41 @t4)))) % 0.36/0.57 (step @p33 :rule trans :premises (@p32 @p24)) % 0.36/0.57 (step @p34 :rule refl :args (@t4)) % 0.36/0.57 (step @p35 :rule refl :args (@t32)) % 0.36/0.57 (step @p36 :rule refl :args (@t6)) % 0.36/0.57 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t6 @t32))) % 0.36/0.57 (step @p38 :rule symm :premises (@p37)) % 0.36/0.57 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.36/0.57 (step @p40 :rule refl :args (@t7)) % 0.36/0.57 (step @p41 :rule cong :premises (@p40 @p39) :args (@t8)) % 0.36/0.57 (step @p42 :rule cong :premises (@p41) :args (@t42)) % 0.36/0.57 (step @p43 :rule refl :args ((_ @t5 @t6))) % 0.36/0.57 (step @p44 :rule cong :premises (@p35) :args (@t33)) % 0.36/0.57 (step @p45 :rule trans :premises (@p44 @p43)) % 0.36/0.57 (step @p46 :rule refl :args (@t5)) % 0.36/0.57 (step @p47 :rule ho_cong :premises (@p46 @p35)) % 0.36/0.57 (step @p48 :rule cong :premises (@p47 @p45) :args ((= (_ @t5 @t32) @t33))) % 0.36/0.57 (step @p49 :rule symm :premises (@p48)) % 0.36/0.57 (step @p50 :rule refl :args (@t9)) % 0.36/0.57 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.36/0.57 (step @p52 :rule ho_cong :premises (@p46 @p39)) % 0.36/0.57 (step @p53 :rule trans :premises (@p52 @p51)) % 0.36/0.57 (step @p54 :rule nary_cong :premises (@p53 @p42) :args (@t43)) % 0.36/0.57 (step @p55 :rule cong :premises (@p54) :args ((forall @t12 @t43))) % 0.36/0.57 (step @p56 :rule refl :args (@t42)) % 0.36/0.57 (step @p57 :rule bool-double-not-elim :args (@t9)) % 0.36/0.57 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or (not @t10) @t42))) % 0.36/0.57 (step @p59 :rule bool-and-de-morgan :args (@t10 @t8 true)) % 0.36/0.57 (step @p60 :rule trans :premises (@p59 @p58)) % 0.36/0.57 (step @p61 :rule cong :premises (@p60) :args (@t44)) % 0.36/0.57 (step @p62 :rule trans :premises (@p61 @p55)) % 0.36/0.57 (step @p63 :rule cong :premises (@p62) :args (@t45)) % 0.36/0.57 (step @p64 :rule exists-elim :args ((= @t13 @t45))) % 0.36/0.57 (step @p65 :rule trans :premises (@p64 @p63)) % 0.36/0.57 (step @p66 :rule cong :premises (@p65) :args (@t15)) % 0.36/0.57 (step @p67 :rule refl :args (tptp.d)) % 0.36/0.57 (step @p68 :rule cong :premises (@p67 @p66) :args (@t16)) % 0.36/0.57 (step @p69 :rule refl :args (@t19)) % 0.36/0.57 (step @p70 :rule refl :args (@t36)) % 0.36/0.57 (step @p71 :rule refl :args (@t20)) % 0.36/0.57 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t20 @t36))) % 0.36/0.57 (step @p73 :rule symm :premises (@p72)) % 0.36/0.57 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.36/0.57 (step @p75 :rule refl :args (@t37)) % 0.36/0.57 (step @p76 :rule refl :args (@t21)) % 0.36/0.57 (step @p77 :rule cong :premises (@p76 @p75) :args ((= @t21 @t37))) % 0.36/0.57 (step @p78 :rule symm :premises (@p77)) % 0.36/0.57 (step @p79 :rule eq_resolve :premises (@p76 @p78)) % 0.36/0.57 (step @p80 :rule cong :premises (@p79 @p74) :args (@t22)) % 0.36/0.57 (step @p81 :rule cong :premises (@p80) :args (@t46)) % 0.36/0.57 (step @p82 :rule nary_cong :premises (@p81 @p69) :args (@t47)) % 0.36/0.57 (step @p83 :rule cong :premises (@p82) :args ((forall @t23 @t47))) % 0.36/0.57 (step @p84 :rule bool-impl-elim :args (@t22 @t19)) % 0.36/0.57 (step @p85 :rule cong :premises (@p84) :args (@t24)) % 0.36/0.57 (step @p86 :rule trans :premises (@p85 @p83)) % 0.36/0.57 (step @p87 :rule nary_cong :premises (@p86 @p68) :args (@t25)) % 0.36/0.57 (step @p88 :rule cong :premises (@p87 @p34) :args (@t26)) % 0.36/0.57 (step @p89 :rule cong :premises (@p88) :args (@t28)) % 0.36/0.57 (step @p90 :rule trans :premises (@p89 @p33)) % 0.36/0.57 (step @p91 :rule cong :premises (@p90) :args (@t29)) % 0.36/0.57 (step @p92 :rule eq_resolve :premises (@p1 @p91)) % 0.36/0.57 (step @p93 :rule refl :args (@t62)) % 0.36/0.57 (step @p94 :rule bool-double-not-elim :args (@t48)) % 0.36/0.57 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or (not @t63) @t62))) % 0.36/0.57 (step @p96 :rule refl :args (@t52)) % 0.36/0.57 (step @p97 :rule eq-refl :args (@t55)) % 0.36/0.57 (step @p98 :rule skolem_intro :args (@t56)) % 0.36/0.57 (step @p99 :rule refl :args (@t55)) % 0.36/0.57 (step @p100 :rule cong :premises (@p99 @p98) :args ((= @t55 @t56))) % 0.36/0.57 (step @p101 :rule trans :premises (@p100 @p97)) % 0.36/0.57 (step @p102 :rule true_elim :premises (@p101)) % 0.36/0.57 (step @p103 :rule cong :premises (@p67 @p102) :args (@t64)) % 0.36/0.57 (step @p104 :rule cong :premises (@p103) :args (@t65)) % 0.36/0.57 (step @p105 :rule refl :args (@t60)) % 0.36/0.57 (step @p106 :rule nary_cong :premises (@p105 @p104 @p96) :args (@t66)) % 0.36/0.57 (step @p107 :rule cong :premises (@p106) :args (@t67)) % 0.36/0.57 (step @p108 :rule refl :args (@t63)) % 0.36/0.57 (step @p109 :rule cong :premises (@p108 @p107) :args ((=> @t63 @t67))) % 0.36/0.57 (assume-push @p195 @t63) % 0.36/0.57 (step @p111 :rule skolemize :premises (@p92)) % 0.36/0.57 (step-pop @p196 :rule scope :premises (@p111)) % 0.36/0.57 (step @p112 :rule process_scope :premises (@p196) :args (@t67)) % 0.36/0.57 (step @p114 :rule eq_resolve :premises (@p112 @p109)) % 0.36/0.57 (step @p115 :rule implies_elim :premises (@p114)) % 0.36/0.57 (step @p116 :rule eq_resolve :premises (@p115 @p95)) % 0.36/0.57 (step @p117 :rule chain_m_resolution :premises (@p116 @p92) :args (@t62 @t68 (@list @t48))) % 0.36/0.57 (step @p118 :rule bool-double-not-elim :args (@t51)) % 0.36/0.57 (step @p119 :rule refl :args (@t61)) % 0.36/0.57 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or @t61 (not @t52)))) % 0.36/0.57 (step @p121 :rule cnf_or_neg :args (@t61 2)) % 0.36/0.57 (step @p122 :rule eq_resolve :premises (@p121 @p120)) % 0.36/0.57 (step @p123 :rule reordering :premises (@p122) :args ((or @t51 @t61))) % 0.36/0.57 (step @p124 :rule chain_m_resolution :premises (@p123 @p117) :args (@t51 @t68 @t69)) % 0.36/0.57 (step @p125 :rule true_intro :premises (@p124)) % 0.36/0.57 (step @p126 :rule bool-double-not-elim :args (@t57)) % 0.36/0.57 (step @p127 :rule nary_cong :premises (@p119 @p126) :args ((or @t61 (not @t58)))) % 0.36/0.57 (step @p128 :rule cnf_or_neg :args (@t61 1)) % 0.36/0.57 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 0.36/0.57 (step @p130 :rule reordering :premises (@p129) :args ((or @t57 @t61))) % 0.36/0.57 (step @p131 :rule chain_m_resolution :premises (@p130 @p117) :args (@t57 @t68 @t69)) % 0.36/0.57 (step @p132 :rule refl :args (@t71)) % 0.36/0.57 (step @p133 :rule refl :args ((tptp.d @t72))) % 0.36/0.57 (step @p134 :rule refl :args (@t50)) % 0.36/0.57 (step @p135 :rule cong :premises (@p134) :args (@t51)) % 0.36/0.57 (step @p136 :rule trans :premises (@p135 @p133)) % 0.36/0.57 (step @p137 :rule ho_cong :premises (@p8 @p134)) % 0.36/0.57 (step @p138 :rule cong :premises (@p137 @p136) :args ((= @t73 @t51))) % 0.36/0.57 (step @p139 :rule symm :premises (@p138)) % 0.36/0.57 (step @p140 :rule refl :args ((_ tptp.d @t72))) % 0.36/0.57 (step @p141 :rule eq_resolve :premises (@p140 @p139)) % 0.36/0.57 (step @p142 :rule cong :premises (@p141 @p132) :args (@t74)) % 0.36/0.57 (step @p143 :rule refl :args (@t57)) % 0.36/0.57 (step @p144 :rule cong :premises (@p143 @p142) :args (@t75)) % 0.36/0.57 ; WARNING: add trust step for TRUST % 0.36/0.57 ; trust TRUST THEORY_LEMMA % 0.36/0.57 (step @p145 :rule trust :premises () :args (@t75)) % 0.36/0.57 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 0.36/0.57 (step @p147 :rule implies_elim :premises (@p146)) % 0.36/0.57 (step @p148 :rule chain_m_resolution :premises (@p147 @p131) :args (@t76 (@list false) (@list @t57))) % 0.36/0.57 (step @p149 :rule cnf_equiv_pos1 :args (@t76)) % 0.36/0.57 (step @p150 :rule reordering :premises (@p149) :args ((or @t52 @t71 (not @t76)))) % 0.36/0.57 (step @p151 :rule chain_m_resolution :premises (@p150 @p124 @p148) :args (@t71 @t77 (@list @t51 @t76))) % 0.36/0.57 (step @p152 :rule refl :args (@t84)) % 0.36/0.57 (step @p153 :rule bool-double-not-elim :args (@t70)) % 0.36/0.57 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or (not @t71) @t84))) % 0.36/0.57 (step @p155 :rule eq-symm :args (@t79 @t50)) % 0.36/0.57 (step @p156 :rule cong :premises (@p155) :args (@t85)) % 0.36/0.57 (step @p157 :rule refl :args (@t82)) % 0.36/0.57 (step @p158 :rule nary_cong :premises (@p157 @p156) :args (@t86)) % 0.36/0.57 (step @p159 :rule cong :premises (@p158) :args (@t87)) % 0.36/0.57 (step @p160 :rule cong :premises (@p132 @p159) :args ((=> @t71 @t87))) % 0.36/0.57 (assume-push @p197 @t71) % 0.36/0.57 (step @p162 :rule skolemize :premises (@p151)) % 0.36/0.57 (step-pop @p198 :rule scope :premises (@p162)) % 0.36/0.57 (step @p163 :rule process_scope :premises (@p198) :args (@t87)) % 0.36/0.57 (step @p165 :rule eq_resolve :premises (@p163 @p160)) % 0.36/0.57 (step @p166 :rule implies_elim :premises (@p165)) % 0.36/0.57 (step @p167 :rule eq_resolve :premises (@p166 @p154)) % 0.36/0.57 (step @p168 :rule chain_m_resolution :premises (@p167 @p151) :args (@t84 @t68 (@list @t70))) % 0.36/0.57 (step @p169 :rule bool-double-not-elim :args (@t80)) % 0.36/0.57 (step @p170 :rule refl :args (@t83)) % 0.36/0.57 (step @p171 :rule nary_cong :premises (@p170 @p169) :args ((or @t83 (not @t81)))) % 0.36/0.57 (step @p172 :rule cnf_or_neg :args (@t83 1)) % 0.36/0.57 (step @p173 :rule eq_resolve :premises (@p172 @p171)) % 0.36/0.57 (step @p174 :rule reordering :premises (@p173) :args ((or @t80 @t83))) % 0.36/0.57 (step @p175 :rule chain_m_resolution :premises (@p174 @p168) :args (@t80 @t68 @t88)) % 0.36/0.57 (step @p176 :rule symm :premises (@p175)) % 0.36/0.57 (step @p177 :rule bool-double-not-elim :args (@t59)) % 0.36/0.57 (step @p178 :rule nary_cong :premises (@p119 @p177) :args ((or @t61 (not @t60)))) % 0.36/0.57 (step @p179 :rule cnf_or_neg :args (@t61 0)) % 0.36/0.57 (step @p180 :rule eq_resolve :premises (@p179 @p178)) % 0.36/0.57 (step @p181 :rule reordering :premises (@p180) :args ((or @t59 @t61))) % 0.36/0.57 (step @p182 :rule chain_m_resolution :premises (@p181 @p117) :args (@t59 @t68 @t69)) % 0.36/0.57 (step @p183 :rule instantiate :premises (@p182) :args ((@list tptp.d @t78))) % 0.36/0.57 (step @p184 :rule cnf_or_pos :args (@t90)) % 0.36/0.57 (step @p185 :rule reordering :premises (@p184) :args ((or @t81 @t89 (not @t90)))) % 0.36/0.57 (step @p186 :rule chain_m_resolution :premises (@p185 @p175 @p183) :args (@t89 @t77 (@list @t80 @t90))) % 0.36/0.57 (step @p187 :rule symm :premises (@p186)) % 0.36/0.57 (step @p188 :rule ho_cong :premises (@p187 @p176)) % 0.36/0.57 (step @p189 :rule cnf_or_neg :args (@t83 0)) % 0.36/0.57 (step @p190 :rule chain_m_resolution :premises (@p189 @p168) :args ((not @t82) @t68 @t88)) % 0.36/0.57 (step @p191 :rule false_intro :premises (@p190)) % 0.36/0.57 (step @p192 :rule symm :premises (@p191)) % 0.36/0.57 (step @p193 :rule trans :premises (@p192 @p188 @p125)) % 0.36/0.57 (step @p194 false :rule eq_resolve :premises (@p193 @p3)) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------