%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT249-1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:29:59 AM UTC 2026 % Result : Unsatisfiable 0.42s 0.69s % Output : Proof 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : LAT249-1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 01:06:15 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.42/0.69 % SZS status Unsatisfiable % 0.42/0.69 % SZS output start Proof % 0.50/0.70 ( % 0.50/0.70 (declare-sort $$unsorted 0) % 0.50/0.70 (declare-const tptp.a $$unsorted) % 0.50/0.70 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.50/0.70 (declare-const tptp.b $$unsorted) % 0.50/0.70 (declare-const tptp.one $$unsorted) % 0.50/0.70 (declare-const tptp.zero $$unsorted) % 0.50/0.70 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.70 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.70 (define @t1 () (@var "X" $$unsorted)) % 0.50/0.70 (define @t2 () (tptp.meet @t1 @t1)) % 0.50/0.70 (define @t3 () (@list @t1)) % 0.50/0.70 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.50/0.70 (define @t5 () (@var "Y" $$unsorted)) % 0.50/0.70 (define @t6 () (tptp.join @t1 @t5)) % 0.50/0.70 (define @t7 () (tptp.meet @t1 @t6)) % 0.50/0.70 (define @t8 () (@list @t1 @t5)) % 0.50/0.70 (define @t9 () (forall @t8 (= @t7 @t1))) % 0.50/0.70 (define @t10 () (tptp.meet @t1 @t5)) % 0.50/0.70 (define @t11 () (tptp.join @t1 @t10)) % 0.50/0.70 (define @t12 () (forall @t8 (= @t11 @t1))) % 0.50/0.70 (define @t13 () (@var "Z" $$unsorted)) % 0.50/0.70 (define @t14 () (@list @t1 @t5 @t13)) % 0.50/0.70 (define @t15 () (tptp.join @t5 @t13)) % 0.50/0.70 (define @t16 () (forall @t14 (= (tptp.join @t6 @t13) (tptp.join @t1 @t15)))) % 0.50/0.70 (define @t17 () (tptp.complement @t1)) % 0.50/0.70 (define @t18 () (tptp.join @t1 @t17)) % 0.50/0.70 (define @t19 () (forall @t3 (= @t18 tptp.one))) % 0.50/0.70 (define @t20 () (tptp.meet @t1 @t17)) % 0.50/0.70 (define @t21 () (forall @t3 (= @t20 tptp.zero))) % 0.50/0.70 (define @t22 () (not (= @t6 tptp.one))) % 0.50/0.70 (define @t23 () (not (= @t10 tptp.zero))) % 0.50/0.70 (define @t24 () (or @t23 @t22 (= @t17 @t5))) % 0.50/0.70 (define @t25 () (forall @t8 @t24)) % 0.50/0.70 (define @t26 () (tptp.meet tptp.b tptp.a)) % 0.50/0.70 (define @t27 () (tptp.complement tptp.a)) % 0.50/0.70 (define @t28 () (tptp.complement tptp.b)) % 0.50/0.70 (define @t29 () (tptp.join @t28 @t27)) % 0.50/0.70 (define @t30 () (@list @t27 tptp.a)) % 0.50/0.70 (define @t31 () (@list tptp.a @t27)) % 0.50/0.70 (define @t32 () (tptp.join tptp.a @t27)) % 0.50/0.70 (define @t33 () (tptp.meet @t32 @t27)) % 0.50/0.70 (define @t34 () (tptp.join @t28 @t33)) % 0.50/0.70 (define @t35 () (tptp.meet tptp.a @t27)) % 0.50/0.70 (define @t36 () (@list tptp.a)) % 0.50/0.70 (define @t37 () (@list @t28)) % 0.50/0.70 (define @t38 () (tptp.complement @t28)) % 0.50/0.70 (define @t39 () (tptp.join @t28 (tptp.meet @t28 @t38))) % 0.50/0.70 (define @t40 () (@list tptp.b)) % 0.50/0.70 (define @t41 () (@list tptp.b @t28)) % 0.50/0.70 (define @t42 () (tptp.meet @t28 tptp.b)) % 0.50/0.70 (define @t43 () (@list @t28 tptp.b)) % 0.50/0.70 (define @t44 () (tptp.meet @t26 @t28)) % 0.50/0.70 (define @t45 () (tptp.join @t33 @t44)) % 0.50/0.70 (define @t46 () (tptp.meet @t26 @t45)) % 0.50/0.70 (define @t47 () (tptp.join @t28 @t46)) % 0.50/0.70 (define @t48 () (tptp.meet @t26 (tptp.join @t28 (tptp.meet @t26 @t33)))) % 0.50/0.70 (define @t49 () (tptp.meet @t27 tptp.a)) % 0.50/0.70 (define @t50 () (tptp.meet @t27 @t28)) % 0.50/0.70 (define @t51 () (@list @t28 @t27)) % 0.50/0.70 (define @t52 () (tptp.meet @t28 @t29)) % 0.50/0.70 (define @t53 () (tptp.meet @t29 @t29)) % 0.50/0.70 (define @t54 () (tptp.meet @t28 @t53)) % 0.50/0.70 (define @t55 () (= tptp.b @t38)) % 0.50/0.70 (define @t56 () (tptp.join @t28 tptp.b)) % 0.50/0.70 (define @t57 () (not (= @t56 tptp.one))) % 0.50/0.70 (define @t58 () (not (= @t42 tptp.zero))) % 0.50/0.70 (define @t59 () (or @t58 @t57 @t55)) % 0.50/0.70 (define @t60 () (forall @t8 (or @t23 @t22 (= @t5 @t17)))) % 0.50/0.70 (define @t61 () (= tptp.one @t56)) % 0.50/0.70 (define @t62 () (not @t61)) % 0.50/0.70 (define @t63 () (= tptp.zero @t42)) % 0.50/0.70 (define @t64 () (not @t63)) % 0.50/0.70 (define @t65 () (or @t64 @t62 @t55)) % 0.50/0.70 (define @t66 () (@list false)) % 0.50/0.70 (define @t67 () (@list @t60)) % 0.50/0.70 (define @t68 () (tptp.meet @t53 tptp.b)) % 0.50/0.70 (define @t69 () (tptp.meet @t29 tptp.b)) % 0.50/0.70 (define @t70 () (tptp.join tptp.b @t28)) % 0.50/0.70 (define @t71 () (tptp.meet @t70 @t35)) % 0.50/0.70 (define @t72 () (tptp.meet tptp.b tptp.b)) % 0.50/0.70 (define @t73 () (tptp.meet tptp.b @t28)) % 0.50/0.70 (define @t74 () (tptp.join tptp.b (tptp.meet @t28 @t68))) % 0.50/0.70 (define @t75 () (tptp.meet @t28 @t74)) % 0.50/0.70 (define @t76 () (tptp.join @t68 @t75)) % 0.50/0.70 (define @t77 () (tptp.join tptp.b @t68)) % 0.50/0.70 (define @t78 () (tptp.meet @t28 @t76)) % 0.50/0.70 (define @t79 () (tptp.join tptp.b @t78)) % 0.50/0.70 (define @t80 () (tptp.join @t68 (tptp.meet @t28 @t79))) % 0.50/0.70 (define @t81 () (tptp.meet @t79 tptp.a)) % 0.50/0.70 (define @t82 () (tptp.meet tptp.b @t35)) % 0.50/0.70 (define @t83 () (tptp.join tptp.a @t82)) % 0.50/0.70 (define @t84 () (tptp.meet tptp.b @t83)) % 0.50/0.70 (define @t85 () (tptp.join @t35 @t84)) % 0.50/0.70 (define @t86 () (tptp.complement @t26)) % 0.50/0.70 (define @t87 () (= @t29 @t86)) % 0.50/0.70 (define @t88 () (tptp.join @t26 @t29)) % 0.50/0.70 (define @t89 () (not (= @t88 tptp.one))) % 0.50/0.70 (define @t90 () (tptp.meet @t26 @t29)) % 0.50/0.70 (define @t91 () (not (= @t90 tptp.zero))) % 0.50/0.70 (define @t92 () (or @t91 @t89 @t87)) % 0.50/0.70 (define @t93 () (= tptp.one @t88)) % 0.50/0.70 (define @t94 () (not @t93)) % 0.50/0.70 (define @t95 () (= tptp.zero @t90)) % 0.50/0.70 (define @t96 () (not @t95)) % 0.50/0.70 (define @t97 () (or @t96 @t94 @t87)) % 0.50/0.70 (define @t98 () (= @t86 @t29)) % 0.50/0.70 (define @t99 () (tptp.join @t27 @t28)) % 0.50/0.70 (define @t100 () (tptp.join @t29 tptp.a)) % 0.50/0.70 (define @t101 () (tptp.join @t28 (tptp.join @t27 tptp.a))) % 0.50/0.70 (define @t102 () (= @t100 @t101)) % 0.50/0.70 (define @t103 () (tptp.join @t52 @t38)) % 0.50/0.70 (assume @p1 @t4) % 0.50/0.70 (assume @p2 (forall @t3 (= (tptp.join @t1 @t1) @t1))) % 0.50/0.70 (assume @p3 @t9) % 0.50/0.70 (assume @p4 @t12) % 0.50/0.70 (assume @p5 (forall @t8 (= @t10 (tptp.meet @t5 @t1)))) % 0.50/0.70 (assume @p6 (forall @t8 (= @t6 (tptp.join @t5 @t1)))) % 0.50/0.70 (assume @p7 (forall @t14 (= (tptp.meet @t10 @t13) (tptp.meet @t1 (tptp.meet @t5 @t13))))) % 0.50/0.70 (assume @p8 @t16) % 0.50/0.70 (assume @p9 @t19) % 0.50/0.70 (assume @p10 @t21) % 0.50/0.70 (assume @p11 @t25) % 0.50/0.70 (assume @p12 (forall @t14 (= (tptp.meet @t1 @t15) (tptp.meet @t1 (tptp.join @t5 (tptp.meet @t1 (tptp.join @t13 (tptp.meet @t1 (tptp.join @t5 (tptp.meet @t1 @t13)))))))))) % 0.50/0.70 (assume @p13 (= @t26 tptp.a)) % 0.50/0.70 (assume @p14 (not (= @t29 @t27))) % 0.50/0.70 (step @p15 :rule refl :args (@t29)) % 0.50/0.70 (step @p16 :rule symm :premises (@p13)) % 0.50/0.70 (step @p17 :rule cong :premises (@p16 @p15) :args ((tptp.meet tptp.a @t29))) % 0.50/0.70 (step @p18 :rule eq-symm :args (@t7 @t1)) % 0.50/0.70 (step @p19 :rule cong :premises (@p18) :args (@t9)) % 0.50/0.70 (step @p20 :rule eq_resolve :premises (@p3 @p19)) % 0.50/0.70 (step @p21 :rule instantiate :premises (@p20) :args (@t30)) % 0.50/0.70 (step @p22 :rule symm :premises (@p21)) % 0.50/0.70 (step @p23 :rule instantiate :premises (@p6) :args (@t31)) % 0.50/0.70 (step @p24 :rule refl :args (@t27)) % 0.50/0.70 (step @p25 :rule cong :premises (@p24 @p23) :args ((tptp.meet @t27 @t32))) % 0.50/0.70 (step @p26 :rule instantiate :premises (@p5) :args ((@list @t32 @t27))) % 0.50/0.70 (step @p27 :rule trans :premises (@p26 @p25 @p22)) % 0.50/0.70 (step @p28 :rule refl :args (@t28)) % 0.50/0.70 (step @p29 :rule cong :premises (@p28 @p27) :args (@t34)) % 0.50/0.70 (step @p30 :rule cong :premises (@p13 @p29) :args ((tptp.meet @t26 @t34))) % 0.50/0.70 (step @p31 :rule instantiate :premises (@p12) :args ((@list @t26 @t28 @t33))) % 0.50/0.70 (step @p32 :rule symm :premises (@p31)) % 0.50/0.70 (step @p33 :rule refl :args (@t33)) % 0.50/0.70 (step @p34 :rule cong :premises (@p16 @p33) :args ((tptp.meet tptp.a @t33))) % 0.50/0.70 (step @p35 :rule instantiate :premises (@p7) :args ((@list tptp.a @t32 @t27))) % 0.50/0.70 (step @p36 :rule instantiate :premises (@p20) :args (@t31)) % 0.50/0.70 (step @p37 :rule cong :premises (@p36 @p24) :args (@t35)) % 0.50/0.70 (step @p38 :rule eq-symm :args (@t20 tptp.zero)) % 0.50/0.70 (step @p39 :rule cong :premises (@p38) :args (@t21)) % 0.50/0.70 (step @p40 :rule eq_resolve :premises (@p10 @p39)) % 0.50/0.70 (step @p41 :rule instantiate :premises (@p40) :args (@t36)) % 0.50/0.70 (step @p42 :rule instantiate :premises (@p40) :args (@t37)) % 0.50/0.70 (step @p43 :rule symm :premises (@p42)) % 0.50/0.70 (step @p44 :rule trans :premises (@p43 @p41 @p37 @p35 @p34)) % 0.50/0.70 (step @p45 :rule cong :premises (@p28 @p44) :args (@t39)) % 0.50/0.70 (step @p46 :rule instantiate :premises (@p40) :args (@t40)) % 0.50/0.70 (step @p47 :rule symm :premises (@p46)) % 0.50/0.70 (step @p48 :rule instantiate :premises (@p5) :args (@t41)) % 0.50/0.70 (step @p49 :rule symm :premises (@p48)) % 0.50/0.70 (step @p50 :rule trans :premises (@p49 @p47 @p42)) % 0.50/0.70 (step @p51 :rule cong :premises (@p28 @p50) :args ((tptp.join @t28 @t42))) % 0.50/0.70 (step @p52 :rule eq-symm :args (@t11 @t1)) % 0.50/0.70 (step @p53 :rule cong :premises (@p52) :args (@t12)) % 0.50/0.70 (step @p54 :rule eq_resolve :premises (@p4 @p53)) % 0.50/0.70 (step @p55 :rule instantiate :premises (@p54) :args (@t43)) % 0.50/0.70 (step @p56 :rule trans :premises (@p55 @p51 @p45)) % 0.50/0.70 (step @p57 :rule refl :args (@t26)) % 0.50/0.70 (step @p58 :rule cong :premises (@p57 @p56) :args (@t44)) % 0.50/0.70 (step @p59 :rule cong :premises (@p33 @p58) :args (@t45)) % 0.50/0.70 (step @p60 :rule cong :premises (@p57 @p59) :args (@t46)) % 0.50/0.70 (step @p61 :rule cong :premises (@p28 @p60) :args (@t47)) % 0.50/0.70 (step @p62 :rule cong :premises (@p57 @p61) :args ((tptp.meet @t26 @t47))) % 0.50/0.70 (step @p63 :rule symm :premises (@p59)) % 0.50/0.70 (step @p64 :rule refl :args (@t48)) % 0.50/0.70 (step @p65 :rule symm :premises (@p27)) % 0.50/0.70 (step @p66 :rule instantiate :premises (@p54) :args (@t30)) % 0.50/0.70 (step @p67 :rule symm :premises (@p66)) % 0.50/0.70 (step @p68 :rule refl :args (@t49)) % 0.50/0.70 (step @p69 :rule instantiate :premises (@p54) :args ((@list @t27 @t28))) % 0.50/0.70 (step @p70 :rule symm :premises (@p69)) % 0.50/0.70 (step @p71 :rule cong :premises (@p70 @p68) :args ((tptp.join (tptp.join @t27 @t50) @t49))) % 0.50/0.70 (step @p72 :rule instantiate :premises (@p8) :args ((@list @t27 @t50 @t49))) % 0.50/0.70 (step @p73 :rule symm :premises (@p72)) % 0.50/0.70 (step @p74 :rule trans :premises (@p73 @p71 @p67)) % 0.50/0.70 (step @p75 :rule trans :premises (@p74 @p65)) % 0.50/0.70 (step @p76 :rule cong :premises (@p75 @p64) :args ((tptp.join (tptp.join @t27 (tptp.join @t50 @t49)) @t48))) % 0.50/0.70 (step @p77 :rule instantiate :premises (@p5) :args ((@list @t26 @t28))) % 0.50/0.70 (step @p78 :rule symm :premises (@p77)) % 0.50/0.70 (step @p79 :rule refl :args (tptp.b)) % 0.50/0.70 (step @p80 :rule cong :premises (@p79 @p13) :args ((tptp.meet tptp.b @t26))) % 0.50/0.70 (step @p81 :rule instantiate :premises (@p54) :args (@t41)) % 0.50/0.70 (step @p82 :rule symm :premises (@p81)) % 0.50/0.70 (step @p83 :rule refl :args (@t38)) % 0.50/0.70 (step @p84 :rule instantiate :premises (@p20) :args (@t51)) % 0.50/0.70 (step @p85 :rule symm :premises (@p84)) % 0.50/0.70 (step @p86 :rule cong :premises (@p85 @p15) :args ((tptp.meet @t52 @t29))) % 0.50/0.70 (step @p87 :rule instantiate :premises (@p7) :args ((@list @t28 @t29 @t29))) % 0.50/0.70 (step @p88 :rule symm :premises (@p87)) % 0.50/0.70 (step @p89 :rule trans :premises (@p88 @p86 @p85)) % 0.50/0.70 (step @p90 :rule cong :premises (@p89 @p83) :args ((tptp.meet @t54 @t38))) % 0.50/0.70 (step @p91 :rule instantiate :premises (@p7) :args ((@list @t28 @t53 @t38))) % 0.50/0.70 (step @p92 :rule symm :premises (@p91)) % 0.50/0.70 (step @p93 :rule eq-symm :args (@t17 @t5)) % 0.50/0.70 (step @p94 :rule refl :args (@t22)) % 0.50/0.70 (step @p95 :rule refl :args (@t23)) % 0.50/0.70 (step @p96 :rule nary_cong :premises (@p95 @p94 @p93) :args (@t24)) % 0.50/0.70 (step @p97 :rule cong :premises (@p96) :args (@t25)) % 0.50/0.70 (step @p98 :rule eq_resolve :premises (@p11 @p97)) % 0.50/0.70 (step @p99 :rule refl :args (@t55)) % 0.50/0.70 (step @p100 :rule eq-symm :args (@t56 tptp.one)) % 0.50/0.70 (step @p101 :rule cong :premises (@p100) :args (@t57)) % 0.50/0.70 (step @p102 :rule eq-symm :args (@t42 tptp.zero)) % 0.50/0.70 (step @p103 :rule cong :premises (@p102) :args (@t58)) % 0.50/0.70 (step @p104 :rule nary_cong :premises (@p103 @p101 @p99) :args (@t59)) % 0.50/0.70 (step @p105 :rule refl :args (@t60)) % 0.50/0.70 (step @p106 :rule cong :premises (@p105 @p104) :args ((=> @t60 @t59))) % 0.50/0.70 (assume-push @p288 @t60) % 0.50/0.70 (step @p108 :rule instantiate :premises (@p98) :args (@t43)) % 0.50/0.70 (step-pop @p289 :rule scope :premises (@p108)) % 0.50/0.70 (step @p109 :rule process_scope :premises (@p289) :args (@t59)) % 0.50/0.70 (step @p111 :rule eq_resolve :premises (@p109 @p106)) % 0.50/0.70 (step @p112 :rule implies_elim :premises (@p111)) % 0.50/0.70 (step @p113 :rule chain_m_resolution :premises (@p112 @p98) :args (@t65 @t66 @t67)) % 0.50/0.70 (step @p114 :rule instantiate :premises (@p6) :args (@t41)) % 0.50/0.70 (step @p115 :rule eq-symm :args (@t18 tptp.one)) % 0.50/0.70 (step @p116 :rule cong :premises (@p115) :args (@t19)) % 0.50/0.70 (step @p117 :rule eq_resolve :premises (@p9 @p116)) % 0.50/0.70 (step @p118 :rule instantiate :premises (@p117) :args (@t40)) % 0.50/0.70 (step @p119 :rule trans :premises (@p118 @p114)) % 0.50/0.70 (step @p120 :rule trans :premises (@p46 @p48)) % 0.50/0.70 (step @p121 :rule cnf_or_pos :args (@t65)) % 0.50/0.70 (step @p122 :rule reordering :premises (@p121) :args ((or @t55 @t64 @t62 (not @t65)))) % 0.50/0.70 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p119 @p113) :args (@t55 (@list false false false) (@list @t63 @t61 @t65))) % 0.50/0.70 (step @p124 :rule refl :args (@t53)) % 0.50/0.70 (step @p125 :rule cong :premises (@p124 @p123) :args (@t68)) % 0.50/0.70 (step @p126 :rule eq-symm :args (@t2 @t1)) % 0.50/0.70 (step @p127 :rule cong :premises (@p126) :args (@t4)) % 0.50/0.70 (step @p128 :rule eq_resolve :premises (@p1 @p127)) % 0.50/0.70 (step @p129 :rule instantiate :premises (@p128) :args ((@list @t29))) % 0.50/0.70 (step @p130 :rule cong :premises (@p129 @p79) :args (@t69)) % 0.50/0.70 (step @p131 :rule instantiate :premises (@p54) :args ((@list @t69 @t71))) % 0.50/0.70 (step @p132 :rule symm :premises (@p131)) % 0.50/0.70 (step @p133 :rule instantiate :premises (@p7) :args ((@list @t29 tptp.b @t71))) % 0.50/0.70 (step @p134 :rule symm :premises (@p133)) % 0.50/0.70 (step @p135 :rule instantiate :premises (@p7) :args ((@list tptp.b @t70 @t35))) % 0.50/0.70 (step @p136 :rule refl :args (@t35)) % 0.50/0.70 (step @p137 :rule instantiate :premises (@p20) :args (@t41)) % 0.50/0.70 (step @p138 :rule instantiate :premises (@p128) :args (@t40)) % 0.50/0.70 (step @p139 :rule symm :premises (@p138)) % 0.50/0.70 (step @p140 :rule trans :premises (@p139 @p137)) % 0.50/0.70 (step @p141 :rule cong :premises (@p140 @p136) :args ((tptp.meet @t72 @t35))) % 0.50/0.70 (step @p142 :rule instantiate 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(step @p170 :rule instantiate :premises (@p5) :args ((@list @t53 tptp.b))) % 0.50/0.70 (step @p171 :rule trans :premises (@p170 @p169)) % 0.50/0.70 (step @p172 :rule cong :premises (@p123 @p171) :args (@t77)) % 0.50/0.70 (step @p173 :rule trans :premises (@p172 @p167 @p165)) % 0.50/0.70 (step @p174 :rule cong :premises (@p28 @p173) :args ((tptp.meet @t28 @t77))) % 0.50/0.70 (step @p175 :rule instantiate :premises (@p12) :args ((@list @t28 tptp.b @t68))) % 0.50/0.70 (step @p176 :rule symm :premises (@p175)) % 0.50/0.70 (step @p177 :rule trans :premises (@p176 @p174 @p164)) % 0.50/0.70 (step @p178 :rule refl :args (@t68)) % 0.50/0.70 (step @p179 :rule cong :premises (@p178 @p177) :args (@t80)) % 0.50/0.70 (step @p180 :rule trans :premises (@p179 @p163 @p132 @p130 @p125)) % 0.50/0.70 (step @p181 :rule cong :premises (@p28 @p180) :args ((tptp.meet @t28 @t80))) % 0.50/0.70 (step @p182 :rule symm :premises (@p179)) % 0.50/0.70 (step @p183 :rule cong :premises (@p28 @p182) :args (@t78)) % 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@p46)) % 0.50/0.70 (step @p199 :rule trans :premises (@p198 @p196)) % 0.50/0.70 (step @p200 :rule cong :premises (@p199 @p194) :args ((tptp.meet @t35 tptp.a))) % 0.50/0.70 (step @p201 :rule instantiate :premises (@p54) :args (@t31)) % 0.50/0.70 (step @p202 :rule symm :premises (@p201)) % 0.50/0.70 (step @p203 :rule instantiate :premises (@p6) :args ((@list tptp.a @t35))) % 0.50/0.70 (step @p204 :rule symm :premises (@p203)) % 0.50/0.70 (step @p205 :rule symm :premises (@p147)) % 0.50/0.70 (step @p206 :rule symm :premises (@p142)) % 0.50/0.70 (step @p207 :rule cong :premises (@p138 @p136) :args (@t82)) % 0.50/0.70 (step @p208 :rule trans :premises (@p207 @p206 @p205)) % 0.50/0.70 (step @p209 :rule cong :premises (@p194 @p208) :args (@t83)) % 0.50/0.70 (step @p210 :rule trans :premises (@p209 @p202 @p16)) % 0.50/0.70 (step @p211 :rule cong :premises (@p79 @p210) :args (@t84)) % 0.50/0.70 (step @p212 :rule trans :premises (@p211 @p80 @p13)) % 0.50/0.70 (step @p213 :rule cong :premises (@p136 @p212) :args (@t85)) % 0.50/0.70 (step @p214 :rule trans :premises (@p213 @p204 @p202)) % 0.50/0.70 (step @p215 :rule cong :premises (@p136 @p214) :args ((tptp.meet @t35 @t85))) % 0.50/0.70 (step @p216 :rule instantiate :premises (@p20) :args ((@list @t35 @t84))) % 0.50/0.70 (step @p217 :rule instantiate :premises (@p5) :args (@t31)) % 0.50/0.70 (step @p218 :rule symm :premises (@p217)) % 0.50/0.70 (step @p219 :rule trans :premises (@p218 @p216 @p215 @p200 @p193 @p192 @p78 @p58)) % 0.50/0.70 (step @p220 :rule symm :premises (@p74)) % 0.50/0.70 (step @p221 :rule cong :premises (@p220 @p219) :args ((tptp.join @t27 @t49))) % 0.50/0.70 (step @p222 :rule trans :premises (@p66 @p221 @p76 @p63)) % 0.50/0.70 (step @p223 :rule cong :premises (@p16 @p222) :args (@t35)) % 0.50/0.70 (step @p224 :rule trans :premises (@p43 @p41 @p223)) % 0.50/0.70 (step @p225 :rule cong :premises (@p28 @p224) :args (@t39)) % 0.50/0.70 (step @p226 :rule trans :premises (@p55 @p51 @p225)) % 0.50/0.70 (step @p227 :rule cong :premises (@p57 @p226) :args (@t44)) % 0.50/0.70 (step @p228 :rule trans :premises (@p41 @p216 @p215 @p200 @p193 @p192 @p78 @p227 @p62 @p32 @p30 @p17)) % 0.50/0.70 (step @p229 :rule refl :args (@t87)) % 0.50/0.70 (step @p230 :rule eq-symm :args (@t88 tptp.one)) % 0.50/0.70 (step @p231 :rule cong :premises (@p230) :args (@t89)) % 0.50/0.70 (step @p232 :rule eq-symm :args (@t90 tptp.zero)) % 0.50/0.70 (step @p233 :rule cong :premises (@p232) :args (@t91)) % 0.50/0.70 (step @p234 :rule nary_cong :premises (@p233 @p231 @p229) :args (@t92)) % 0.50/0.70 (step @p235 :rule cong :premises (@p105 @p234) :args ((=> @t60 @t92))) % 0.50/0.70 (assume-push @p290 @t60) % 0.50/0.70 (step @p237 :rule instantiate :premises (@p98) :args ((@list @t26 @t29))) % 0.50/0.70 (step-pop @p291 :rule scope :premises (@p237)) % 0.50/0.70 (step @p238 :rule process_scope :premises (@p291) :args (@t92)) % 0.50/0.70 (step @p240 :rule eq_resolve :premises (@p238 @p235)) % 0.50/0.70 (step @p241 :rule implies_elim :premises (@p240)) % 0.50/0.70 (step @p242 :rule chain_m_resolution :premises (@p241 @p98) :args (@t97 @t66 @t67)) % 0.50/0.70 (step @p243 :rule bool-eq-false :args (@t87)) % 0.50/0.70 (step @p244 :rule symm :premises (@p243)) % 0.50/0.70 (step @p245 :rule eq-symm :args (@t86 @t29)) % 0.50/0.70 (step @p246 :rule cong :premises (@p245) :args ((not @t98))) % 0.50/0.70 (step @p247 :rule bool-eq-false :args (@t98)) % 0.50/0.70 (step @p248 :rule trans :premises (@p247 @p246)) % 0.50/0.70 (step @p249 :rule trans :premises (@p248 @p244)) % 0.50/0.70 (step @p250 :rule symm :premises (@p14)) % 0.50/0.70 (step @p251 :rule false_intro :premises (@p250)) % 0.50/0.70 (step @p252 :rule cong :premises (@p13) :args (@t86)) % 0.50/0.70 (step @p253 :rule cong :premises (@p252 @p15) :args (@t98)) % 0.50/0.70 (step @p254 :rule trans :premises (@p253 @p251)) % 0.50/0.70 (step @p255 :rule eq_resolve :premises (@p254 @p249)) % 0.50/0.70 (step @p256 :rule false_elim :premises (@p255)) % 0.50/0.70 (step @p257 :rule instantiate :premises (@p6) :args (@t51)) % 0.50/0.70 (step @p258 :rule symm :premises (@p257)) % 0.50/0.70 (step @p259 :rule cong :premises (@p16 @p258) :args ((tptp.join tptp.a @t99))) % 0.50/0.70 (step @p260 :rule instantiate :premises (@p6) :args ((@list @t99 tptp.a))) % 0.50/0.70 (step @p261 :rule cong :premises (@p257 @p194) :args (@t100)) % 0.50/0.70 (step @p262 :rule eq-symm :args (@t100 @t101)) % 0.50/0.70 (step @p263 :rule refl :args (@t16)) % 0.50/0.70 (step @p264 :rule cong :premises (@p263 @p262) :args ((=> @t16 @t102))) % 0.50/0.70 (assume-push @p292 @t16) % 0.50/0.70 (step @p266 :rule instantiate :premises (@p8) :args ((@list @t28 @t27 tptp.a))) % 0.50/0.70 (step-pop @p293 :rule scope :premises (@p266)) % 0.50/0.70 (step @p267 :rule process_scope :premises (@p293) :args (@t102)) % 0.50/0.70 (step @p269 :rule eq_resolve :premises (@p267 @p264)) % 0.50/0.70 (step @p270 :rule implies_elim :premises (@p269)) % 0.50/0.70 (step @p271 :rule chain_m_resolution :premises (@p270 @p8) :args ((= @t101 @t100) @t66 (@list @t16))) % 0.50/0.70 (step @p272 :rule instantiate :premises (@p117) :args (@t36)) % 0.50/0.70 (step @p273 :rule symm :premises (@p118)) % 0.50/0.70 (step @p274 :rule trans :premises (@p273 @p272 @p23)) % 0.50/0.70 (step @p275 :rule cong :premises (@p28 @p274) :args ((tptp.join @t28 @t70))) % 0.50/0.70 (step @p276 :rule instantiate :premises (@p117) :args (@t37)) % 0.50/0.70 (step @p277 :rule symm :premises (@p276)) % 0.50/0.70 (step @p278 :rule cong :premises (@p85 @p83) :args (@t103)) % 0.50/0.70 (step @p279 :rule trans :premises (@p278 @p277 @p118)) % 0.50/0.70 (step @p280 :rule cong :premises (@p28 @p279) :args ((tptp.join @t28 @t103))) % 0.50/0.70 (step @p281 :rule instantiate :premises (@p8) :args ((@list @t28 @t52 @t38))) % 0.50/0.70 (step @p282 :rule instantiate :premises (@p54) :args ((@list @t28 @t29))) % 0.50/0.70 (step @p283 :rule cong :premises (@p282 @p83) :args ((tptp.join @t28 @t38))) % 0.50/0.70 (step @p284 :rule trans :premises (@p276 @p283 @p281 @p280 @p275 @p271 @p261 @p260 @p259)) % 0.50/0.70 (step @p285 :rule cnf_or_pos :args (@t97)) % 0.50/0.70 (step @p286 :rule reordering :premises (@p285) :args ((or @t87 @t96 @t94 (not @t97)))) % 0.50/0.70 (step @p287 false :rule chain_m_resolution :premises (@p286 @p284 @p256 @p242 @p228) :args (false (@list false true false false) (@list @t93 @t87 @t97 @t95))) % 0.50/0.70 ) % 0.50/0.71 % SZS output end Proof % 0.50/0.71 % cvc5 exiting %------------------------------------------------------------------------------