%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT247-1 : 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 : n017.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 08:29:58 AM UTC 2026 % Result : Unsatisfiable 35.40s 35.67s % Output : Proof 35.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT247-1 : 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 % 0.15/0.33 % Computer : n017.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 06:05:01 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.00/16.20 --- Run --no-e-matching --full-saturate-quant at 6... % 21.99/22.23 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.99/28.25 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.01/34.29 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.40/35.67 % SZS status Unsatisfiable % 35.40/35.67 % SZS output start Proof % 35.40/35.68 ( % 35.40/35.68 (declare-sort $$unsorted 0) % 35.40/35.68 (declare-const tptp.b $$unsorted) % 35.40/35.68 (declare-const tptp.a $$unsorted) % 35.40/35.68 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 35.40/35.68 (declare-const tptp.one $$unsorted) % 35.40/35.68 (declare-const tptp.zero $$unsorted) % 35.40/35.68 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 35.40/35.68 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 35.40/35.68 (define @t1 () (@var "X" $$unsorted)) % 35.40/35.68 (define @t2 () (tptp.meet @t1 @t1)) % 35.40/35.68 (define @t3 () (@list @t1)) % 35.40/35.68 (define @t4 () (forall @t3 (= @t2 @t1))) % 35.40/35.68 (define @t5 () (@var "Y" $$unsorted)) % 35.40/35.68 (define @t6 () (tptp.join @t1 @t5)) % 35.40/35.68 (define @t7 () (tptp.meet @t1 @t6)) % 35.40/35.68 (define @t8 () (@list @t1 @t5)) % 35.40/35.68 (define @t9 () (forall @t8 (= @t7 @t1))) % 35.40/35.68 (define @t10 () (tptp.meet @t1 @t5)) % 35.40/35.68 (define @t11 () (tptp.join @t1 @t10)) % 35.40/35.68 (define @t12 () (forall @t8 (= @t11 @t1))) % 35.40/35.68 (define @t13 () (@var "Z" $$unsorted)) % 35.40/35.68 (define @t14 () (@list @t1 @t5 @t13)) % 35.40/35.68 (define @t15 () (tptp.complement @t1)) % 35.40/35.68 (define @t16 () (tptp.join @t1 @t15)) % 35.40/35.68 (define @t17 () (forall @t3 (= @t16 tptp.one))) % 35.40/35.68 (define @t18 () (tptp.meet @t1 @t15)) % 35.40/35.68 (define @t19 () (forall @t3 (= @t18 tptp.zero))) % 35.40/35.68 (define @t20 () (not (= @t6 tptp.one))) % 35.40/35.68 (define @t21 () (not (= @t10 tptp.zero))) % 35.40/35.68 (define @t22 () (or @t21 @t20 (= @t15 @t5))) % 35.40/35.68 (define @t23 () (forall @t8 @t22)) % 35.40/35.68 (define @t24 () (tptp.meet tptp.b tptp.a)) % 35.40/35.68 (define @t25 () (tptp.complement tptp.a)) % 35.40/35.68 (define @t26 () (tptp.complement tptp.b)) % 35.40/35.68 (define @t27 () (tptp.join @t26 @t25)) % 35.40/35.68 (define @t28 () (tptp.join @t24 @t26)) % 35.40/35.68 (define @t29 () (tptp.meet @t25 @t28)) % 35.40/35.68 (define @t30 () (tptp.join tptp.b @t29)) % 35.40/35.68 (define @t31 () (not (= @t30 tptp.one))) % 35.40/35.68 (define @t32 () (tptp.meet tptp.b @t29)) % 35.40/35.68 (define @t33 () (not (= @t32 tptp.zero))) % 35.40/35.68 (define @t34 () (or @t33 @t31 (= @t29 @t26))) % 35.40/35.68 (define @t35 () (forall @t8 (or @t21 @t20 (= @t5 @t15)))) % 35.40/35.68 (define @t36 () (= @t26 @t29)) % 35.40/35.68 (define @t37 () (= tptp.one @t30)) % 35.40/35.68 (define @t38 () (not @t37)) % 35.40/35.68 (define @t39 () (= tptp.zero @t32)) % 35.40/35.68 (define @t40 () (not @t39)) % 35.40/35.68 (define @t41 () (or @t40 @t38 @t36)) % 35.40/35.68 (define @t42 () (@list tptp.b tptp.a)) % 35.40/35.68 (define @t43 () (tptp.meet @t28 @t25)) % 35.40/35.68 (define @t44 () (tptp.meet @t25 tptp.a)) % 35.40/35.68 (define @t45 () (tptp.join @t25 @t26)) % 35.40/35.68 (define @t46 () (@list tptp.a @t25)) % 35.40/35.68 (define @t47 () (@list tptp.a)) % 35.40/35.68 (define @t48 () (@list tptp.b)) % 35.40/35.68 (define @t49 () (tptp.meet tptp.a @t25)) % 35.40/35.68 (define @t50 () (@list tptp.a @t49)) % 35.40/35.68 (define @t51 () (tptp.join @t24 @t24)) % 35.40/35.68 (define @t52 () (tptp.meet @t24 @t51)) % 35.40/35.68 (define @t53 () (tptp.meet tptp.b @t26)) % 35.40/35.68 (define @t54 () (tptp.meet @t24 @t26)) % 35.40/35.68 (define @t55 () (tptp.join @t54 @t25)) % 35.40/35.68 (define @t56 () (tptp.meet @t28 @t55)) % 35.40/35.68 (define @t57 () (tptp.join tptp.a @t25)) % 35.40/35.68 (define @t58 () (@list tptp.b @t26)) % 35.40/35.68 (define @t59 () (tptp.join tptp.a tptp.b)) % 35.40/35.68 (define @t60 () (@list @t24 @t26)) % 35.40/35.68 (define @t61 () (tptp.join @t28 tptp.b)) % 35.40/35.68 (define @t62 () (tptp.meet tptp.b @t25)) % 35.40/35.68 (define @t63 () (tptp.meet tptp.b @t62)) % 35.40/35.68 (define @t64 () (@list tptp.a @t62)) % 35.40/35.68 (define @t65 () (tptp.join tptp.a @t62)) % 35.40/35.68 (define @t66 () (tptp.meet @t65 @t62)) % 35.40/35.68 (define @t67 () (tptp.meet @t28 tptp.b)) % 35.40/35.68 (define @t68 () (tptp.meet @t26 @t27)) % 35.40/35.68 (define @t69 () (tptp.meet @t28 @t28)) % 35.40/35.68 (define @t70 () (tptp.meet @t67 @t28)) % 35.40/35.68 (define @t71 () (tptp.meet @t24 @t28)) % 35.40/35.68 (define @t72 () (tptp.join @t71 @t62)) % 35.40/35.68 (define @t73 () (tptp.join @t24 @t28)) % 35.40/35.68 (define @t74 () (tptp.meet @t73 @t72)) % 35.40/35.68 (define @t75 () (tptp.join @t24 @t62)) % 35.40/35.68 (define @t76 () (@list @t24 @t28 tptp.b)) % 35.40/35.68 (define @t77 () (tptp.meet @t24 @t67)) % 35.40/35.68 (define @t78 () (tptp.join @t77 @t74)) % 35.40/35.68 (define @t79 () (tptp.join @t24 tptp.b)) % 35.40/35.68 (define @t80 () (tptp.join @t24 @t67)) % 35.40/35.68 (define @t81 () (tptp.meet @t72 @t73)) % 35.40/35.68 (define @t82 () (tptp.meet tptp.a @t27)) % 35.40/35.68 (define @t83 () (tptp.join @t82 @t26)) % 35.40/35.68 (define @t84 () (tptp.meet @t67 @t65)) % 35.40/35.68 (define @t85 () (tptp.join (tptp.meet @t24 @t84) @t83)) % 35.40/35.68 (define @t86 () (tptp.join @t24 @t84)) % 35.40/35.68 (define @t87 () (tptp.meet @t86 @t85)) % 35.40/35.68 (define @t88 () (tptp.join @t62 @t24)) % 35.40/35.68 (define @t89 () (tptp.join tptp.b @t62)) % 35.40/35.68 (define @t90 () (tptp.meet @t89 @t73)) % 35.40/35.68 (define @t91 () (tptp.join @t63 tptp.a)) % 35.40/35.68 (define @t92 () (tptp.join @t88 tptp.b)) % 35.40/35.68 (define @t93 () (tptp.join tptp.a @t26)) % 35.40/35.68 (define @t94 () (tptp.meet @t26 tptp.b)) % 35.40/35.68 (define @t95 () (tptp.join @t49 @t65)) % 35.40/35.68 (define @t96 () (= @t27 @t45)) % 35.40/35.68 (define @t97 () (tptp.join @t25 @t29)) % 35.40/35.68 (define @t98 () (= @t25 @t97)) % 35.40/35.68 (define @t99 () (= @t25 @t27)) % 35.40/35.68 (define @t100 () (and @t96 @t98 @t36)) % 35.40/35.68 (assume @p1 @t4) % 35.40/35.68 (assume @p2 (forall @t3 (= (tptp.join @t1 @t1) @t1))) % 35.40/35.68 (assume @p3 @t9) % 35.40/35.68 (assume @p4 @t12) % 35.40/35.68 (assume @p5 (forall @t8 (= @t10 (tptp.meet @t5 @t1)))) % 35.40/35.68 (assume @p6 (forall @t8 (= @t6 (tptp.join @t5 @t1)))) % 35.40/35.68 (assume @p7 (forall @t14 (= (tptp.meet @t10 @t13) (tptp.meet @t1 (tptp.meet @t5 @t13))))) % 35.40/35.68 (assume @p8 (forall @t14 (= (tptp.join @t6 @t13) (tptp.join @t1 (tptp.join @t5 @t13))))) % 35.40/35.68 (assume @p9 @t17) % 35.40/35.68 (assume @p10 @t19) % 35.40/35.68 (assume @p11 @t23) % 35.40/35.68 (assume @p12 (forall @t14 (= (tptp.meet @t6 (tptp.join @t1 @t13)) (tptp.join @t1 (tptp.meet @t6 (tptp.join @t10 @t13)))))) % 35.40/35.68 (assume @p13 (= @t24 tptp.a)) % 35.40/35.68 (assume @p14 (not (= @t27 @t25))) % 35.40/35.68 (step @p15 :rule symm :premises (@p14)) % 35.40/35.68 (step @p16 :rule instantiate :premises (@p6) :args ((@list @t26 @t25))) % 35.40/35.68 (step @p17 :rule eq-symm :args (@t11 @t1)) % 35.40/35.68 (step @p18 :rule cong :premises (@p17) :args (@t12)) % 35.40/35.68 (step @p19 :rule eq_resolve :premises (@p4 @p18)) % 35.40/35.68 (step @p20 :rule instantiate :premises (@p19) :args ((@list @t25 @t28))) % 35.40/35.68 (step @p21 :rule eq-symm :args (@t15 @t5)) % 35.40/35.68 (step @p22 :rule refl :args (@t20)) % 35.40/35.68 (step @p23 :rule refl :args (@t21)) % 35.40/35.68 (step @p24 :rule nary_cong :premises (@p23 @p22 @p21) :args (@t22)) % 35.40/35.68 (step @p25 :rule cong :premises (@p24) :args (@t23)) % 35.40/35.68 (step @p26 :rule eq_resolve :premises (@p11 @p25)) % 35.40/35.68 (step @p27 :rule eq-symm :args (@t29 @t26)) % 35.40/35.68 (step @p28 :rule eq-symm :args (@t30 tptp.one)) % 35.40/35.68 (step @p29 :rule cong :premises (@p28) :args (@t31)) % 35.40/35.68 (step @p30 :rule eq-symm :args (@t32 tptp.zero)) % 35.40/35.68 (step @p31 :rule cong :premises (@p30) :args (@t33)) % 35.40/35.68 (step @p32 :rule nary_cong :premises (@p31 @p29 @p27) :args (@t34)) % 35.40/35.68 (step @p33 :rule refl :args (@t35)) % 35.40/35.68 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t35 @t34))) % 35.40/35.68 (assume-push @p349 @t35) % 35.40/35.68 (step @p36 :rule instantiate :premises (@p26) :args ((@list tptp.b @t29))) % 35.40/35.68 (step-pop @p350 :rule scope :premises (@p36)) % 35.40/35.68 (step @p37 :rule process_scope :premises (@p350) :args (@t34)) % 35.40/35.68 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 35.40/35.68 (step @p40 :rule implies_elim :premises (@p39)) % 35.40/35.68 (step @p41 :rule chain_m_resolution :premises (@p40 @p26) :args (@t41 (@list false) (@list @t35))) % 35.40/35.68 (step @p42 :rule instantiate :premises (@p5) :args ((@list @t28 @t25))) % 35.40/35.68 (step @p43 :rule instantiate :premises (@p19) :args (@t42)) % 35.40/35.68 (step @p44 :rule symm :premises (@p43)) % 35.40/35.68 (step @p45 :rule cong :premises (@p44 @p42) :args ((tptp.join (tptp.join tptp.b @t24) @t43))) % 35.40/35.68 (step @p46 :rule instantiate :premises (@p8) :args ((@list tptp.b @t24 @t43))) % 35.40/35.68 (step @p47 :rule symm :premises (@p46)) % 35.40/35.68 (step @p48 :rule instantiate :premises (@p19) :args ((@list @t25 tptp.a))) % 35.40/35.68 (step @p49 :rule symm :premises (@p48)) % 35.40/35.68 (step @p50 :rule instantiate :premises (@p6) :args ((@list @t25 @t44))) % 35.40/35.68 (step @p51 :rule symm :premises (@p50)) % 35.40/35.68 (step @p52 :rule eq-symm :args (@t7 @t1)) % 35.40/35.68 (step @p53 :rule cong :premises (@p52) :args (@t9)) % 35.40/35.68 (step @p54 :rule eq_resolve :premises (@p3 @p53)) % 35.40/35.68 (step @p55 :rule instantiate :premises (@p54) :args ((@list @t25 @t26))) % 35.40/35.68 (step @p56 :rule symm :premises (@p55)) % 35.40/35.68 (step @p57 :rule refl :args (@t44)) % 35.40/35.68 (step @p58 :rule cong :premises (@p57 @p56) :args ((tptp.join @t44 (tptp.meet @t25 @t45)))) % 35.40/35.68 (step @p59 :rule instantiate :premises (@p5) :args (@t46)) % 35.40/35.68 (step @p60 :rule eq-symm :args (@t18 tptp.zero)) % 35.40/35.68 (step @p61 :rule cong :premises (@p60) :args (@t19)) % 35.40/35.68 (step @p62 :rule eq_resolve :premises (@p10 @p61)) % 35.40/35.68 (step @p63 :rule instantiate :premises (@p62) :args (@t47)) % 35.40/35.68 (step @p64 :rule instantiate :premises (@p62) :args (@t48)) % 35.40/35.68 (step @p65 :rule symm :premises (@p64)) % 35.40/35.68 (step @p66 :rule trans :premises (@p65 @p63 @p59)) % 35.40/35.68 (step @p67 :rule symm :premises (@p63)) % 35.40/35.68 (step @p68 :rule refl :args (@t25)) % 35.40/35.68 (step @p69 :rule instantiate :premises (@p54) :args (@t50)) % 35.40/35.68 (step @p70 :rule symm :premises (@p69)) % 35.40/35.68 (step @p71 :rule instantiate :premises (@p19) :args (@t46)) % 35.40/35.68 (step @p72 :rule instantiate :premises (@p19) :args ((@list tptp.a tptp.b))) % 35.40/35.68 (step @p73 :rule symm :premises (@p72)) % 35.40/35.68 (step @p74 :rule instantiate :premises (@p5) :args (@t42)) % 35.40/35.68 (step @p75 :rule cong :premises (@p13 @p74) :args (@t51)) % 35.40/35.68 (step @p76 :rule trans :premises (@p75 @p73 @p71)) % 35.40/35.68 (step @p77 :rule cong :premises (@p13 @p76) :args (@t52)) % 35.40/35.68 (step @p78 :rule trans :premises (@p77 @p70)) % 35.40/35.68 (step @p79 :rule cong :premises (@p78 @p68) :args ((tptp.meet @t52 @t25))) % 35.40/35.68 (step @p80 :rule instantiate :premises (@p7) :args ((@list @t24 @t51 @t25))) % 35.40/35.68 (step @p81 :rule symm :premises (@p80)) % 35.40/35.68 (step @p82 :rule symm :premises (@p75)) % 35.40/35.68 (step @p83 :rule trans :premises (@p72 @p82)) % 35.40/35.68 (step @p84 :rule cong :premises (@p83 @p68) :args (@t49)) % 35.40/35.68 (step @p85 :rule symm :premises (@p13)) % 35.40/35.68 (step @p86 :rule cong :premises (@p85 @p84) :args ((tptp.meet tptp.a @t49))) % 35.40/35.68 (step @p87 :rule trans :premises (@p65 @p63)) % 35.40/35.68 (step @p88 :rule refl :args (tptp.a)) % 35.40/35.68 (step @p89 :rule cong :premises (@p88 @p87) :args ((tptp.meet tptp.a @t53))) % 35.40/35.68 (step @p90 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b @t26))) % 35.40/35.68 (step @p91 :rule refl :args (@t26)) % 35.40/35.68 (step @p92 :rule cong :premises (@p74 @p91) :args (@t54)) % 35.40/35.68 (step @p93 :rule trans :premises (@p92 @p90 @p89 @p86 @p81 @p79 @p67 @p64)) % 35.40/35.68 (step @p94 :rule trans :premises (@p93 @p66)) % 35.40/35.68 (step @p95 :rule cong :premises (@p94 @p55) :args (@t55)) % 35.40/35.68 (step @p96 :rule trans :premises (@p95 @p58 @p51 @p49)) % 35.40/35.68 (step @p97 :rule refl :args (@t28)) % 35.40/35.68 (step @p98 :rule cong :premises (@p97 @p96) :args (@t56)) % 35.40/35.68 (step @p99 :rule refl :args (@t24)) % 35.40/35.68 (step @p100 :rule cong :premises (@p99 @p98) :args ((tptp.join @t24 @t56))) % 35.40/35.68 (step @p101 :rule instantiate :premises (@p12) :args ((@list @t24 @t26 @t25))) % 35.40/35.68 (step @p102 :rule symm :premises (@p74)) % 35.40/35.68 (step @p103 :rule cong :premises (@p102 @p68) :args ((tptp.join (tptp.meet tptp.a tptp.b) @t25))) % 35.40/35.68 (step @p104 :rule trans :premises (@p85 @p74)) % 35.40/35.68 (step @p105 :rule cong :premises (@p104 @p68) :args (@t57)) % 35.40/35.68 (step @p106 :rule trans :premises (@p105 @p103)) % 35.40/35.68 (step @p107 :rule cong :premises (@p97 @p106) :args ((tptp.meet @t28 @t57))) % 35.40/35.68 (step @p108 :rule eq-symm :args (@t16 tptp.one)) % 35.40/35.68 (step @p109 :rule cong :premises (@p108) :args (@t17)) % 35.40/35.68 (step @p110 :rule eq_resolve :premises (@p9 @p109)) % 35.40/35.68 (step @p111 :rule instantiate :premises (@p110) :args (@t47)) % 35.40/35.68 (step @p112 :rule instantiate :premises (@p110) :args (@t48)) % 35.40/35.68 (step @p113 :rule symm :premises (@p112)) % 35.40/35.68 (step @p114 :rule instantiate :premises (@p6) :args (@t58)) % 35.40/35.68 (step @p115 :rule symm :premises (@p114)) % 35.40/35.68 (step @p116 :rule instantiate :premises (@p6) :args ((@list tptp.b @t24))) % 35.40/35.68 (step @p117 :rule symm :premises (@p116)) % 35.40/35.68 (step @p118 :rule refl :args (tptp.b)) % 35.40/35.68 (step @p119 :rule cong :premises (@p85 @p118) :args (@t59)) % 35.40/35.68 (step @p120 :rule trans :premises (@p119 @p117 @p44)) % 35.40/35.68 (step @p121 :rule cong :premises (@p91 @p120) :args ((tptp.join @t26 @t59))) % 35.40/35.68 (step @p122 :rule instantiate :premises (@p8) :args ((@list @t26 tptp.a tptp.b))) % 35.40/35.68 (step @p123 :rule cong :premises (@p91 @p13) :args ((tptp.join @t26 @t24))) % 35.40/35.68 (step @p124 :rule instantiate :premises (@p6) :args (@t60)) % 35.40/35.68 (step @p125 :rule trans :premises (@p124 @p123)) % 35.40/35.68 (step @p126 :rule cong :premises (@p125 @p118) :args (@t61)) % 35.40/35.68 (step @p127 :rule trans :premises (@p126 @p122 @p121 @p115 @p113 @p111)) % 35.40/35.68 (step @p128 :rule cong :premises (@p97 @p127) :args ((tptp.meet @t28 @t61))) % 35.40/35.68 (step @p129 :rule instantiate :premises (@p54) :args ((@list @t28 tptp.b))) % 35.40/35.68 (step @p130 :rule trans :premises (@p129 @p128 @p107 @p101 @p100)) % 35.40/35.68 (step @p131 :rule cong :premises (@p120 @p130) :args ((tptp.join @t59 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:args ((tptp.meet (tptp.meet tptp.b tptp.b) @t25))) % 35.40/35.68 (step @p145 :rule instantiate :premises (@p7) :args ((@list tptp.b tptp.b @t25))) % 35.40/35.68 (step @p146 :rule symm :premises (@p145)) % 35.40/35.68 (step @p147 :rule trans :premises (@p146 @p144)) % 35.40/35.68 (step @p148 :rule cong :premises (@p97 @p147) :args ((tptp.meet @t28 @t63))) % 35.40/35.68 (step @p149 :rule instantiate :premises (@p7) :args ((@list @t28 tptp.b @t62))) % 35.40/35.68 (step @p150 :rule instantiate :premises (@p54) :args ((@list @t62 tptp.a))) % 35.40/35.68 (step @p151 :rule symm :premises (@p150)) % 35.40/35.68 (step @p152 :rule instantiate :premises (@p5) :args ((@list @t62 (tptp.join @t62 tptp.a)))) % 35.40/35.68 (step @p153 :rule symm :premises (@p152)) % 35.40/35.68 (step @p154 :rule refl :args (@t62)) % 35.40/35.68 (step @p155 :rule instantiate :premises (@p6) :args (@t64)) % 35.40/35.68 (step @p156 :rule cong :premises (@p155 @p154) :args (@t66)) % 35.40/35.68 (step @p157 :rule trans 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35.40/35.68 (step @p171 :rule trans :premises (@p170 @p164)) % 35.40/35.68 (step @p172 :rule cong :premises (@p118 @p171) :args ((tptp.meet tptp.b @t69))) % 35.40/35.68 (step @p173 :rule instantiate :premises (@p7) :args ((@list tptp.b @t28 @t28))) % 35.40/35.68 (step @p174 :rule symm :premises (@p162)) % 35.40/35.68 (step @p175 :rule cong :premises (@p174 @p97) :args (@t70)) % 35.40/35.68 (step @p176 :rule trans :premises (@p175 @p173 @p172 @p162)) % 35.40/35.68 (step @p177 :rule cong :premises (@p176 @p161) :args ((tptp.meet @t70 @t65))) % 35.40/35.68 (step @p178 :rule instantiate :premises (@p7) :args ((@list @t67 @t28 @t65))) % 35.40/35.68 (step @p179 :rule symm :premises (@p178)) % 35.40/35.68 (step @p180 :rule instantiate :premises (@p54) :args (@t60)) % 35.40/35.68 (step @p181 :rule symm :premises (@p180)) % 35.40/35.68 (step @p182 :rule trans :premises (@p181 @p13)) % 35.40/35.68 (step @p183 :rule cong :premises (@p182 @p154) :args (@t72)) % 35.40/35.68 (step @p184 :rule trans :premises (@p75 @p73)) % 35.40/35.68 (step @p185 :rule trans :premises (@p184 @p85)) % 35.40/35.68 (step @p186 :rule cong :premises (@p185 @p91) :args ((tptp.join @t51 @t26))) % 35.40/35.68 (step @p187 :rule instantiate :premises (@p8) :args ((@list @t24 @t24 @t26))) % 35.40/35.68 (step @p188 :rule symm :premises (@p187)) % 35.40/35.68 (step @p189 :rule trans :premises (@p188 @p186)) % 35.40/35.68 (step @p190 :rule cong :premises (@p189 @p183) :args (@t74)) % 35.40/35.68 (step @p191 :rule symm :premises (@p183)) % 35.40/35.68 (step @p192 :rule cong :premises (@p13 @p154) :args (@t75)) % 35.40/35.68 (step @p193 :rule trans :premises (@p192 @p191)) % 35.40/35.68 (step @p194 :rule refl :args (@t73)) % 35.40/35.68 (step @p195 :rule cong :premises (@p194 @p193) :args ((tptp.meet @t73 @t75))) % 35.40/35.68 (step @p196 :rule instantiate :premises (@p12) :args ((@list @t24 @t28 @t62))) % 35.40/35.68 (step @p197 :rule symm :premises (@p196)) % 35.40/35.68 (step @p198 :rule refl :args (@t74)) % 35.40/35.68 (step @p199 :rule cong :premises (@p182 @p118) :args ((tptp.meet @t71 tptp.b))) % 35.40/35.68 (step @p200 :rule instantiate :premises (@p7) :args (@t76)) % 35.40/35.68 (step @p201 :rule symm :premises (@p200)) % 35.40/35.68 (step @p202 :rule trans :premises (@p201 @p199 @p102 @p13)) % 35.40/35.68 (step @p203 :rule trans :premises (@p202 @p85)) % 35.40/35.68 (step @p204 :rule cong :premises (@p203 @p198) :args (@t78)) % 35.40/35.68 (step @p205 :rule trans :premises (@p204 @p197 @p195 @p190)) % 35.40/35.68 (step @p206 :rule trans :premises (@p117 @p44)) % 35.40/35.68 (step @p207 :rule cong :premises (@p189 @p206) :args ((tptp.meet @t73 @t79))) % 35.40/35.68 (step @p208 :rule instantiate :premises (@p12) :args (@t76)) % 35.40/35.68 (step @p209 :rule symm :premises (@p208)) % 35.40/35.68 (step @p210 :rule symm :premises (@p182)) % 35.40/35.68 (step @p211 :rule cong :premises (@p210 @p118) :args (@t59)) % 35.40/35.68 (step @p212 :rule cong :premises (@p13 @p118) :args (@t79)) % 35.40/35.68 (step @p213 :rule trans :premises (@p43 @p116 @p212 @p211)) % 35.40/35.68 (step @p214 :rule symm :premises (@p189)) % 35.40/35.68 (step @p215 :rule cong :premises (@p214 @p213) :args (@t67)) % 35.40/35.68 (step @p216 :rule cong :premises (@p99 @p215) :args (@t80)) % 35.40/35.68 (step @p217 :rule trans :premises (@p216 @p209 @p207)) % 35.40/35.68 (step @p218 :rule cong :premises (@p217 @p205) :args ((tptp.meet @t80 @t78))) % 35.40/35.68 (step @p219 :rule symm :premises (@p204)) % 35.40/35.68 (step @p220 :rule symm :premises (@p195)) % 35.40/35.68 (step @p221 :rule instantiate :premises (@p5) :args ((@list @t73 @t72))) % 35.40/35.68 (step @p222 :rule symm :premises (@p221)) % 35.40/35.68 (step @p223 :rule trans :premises (@p222 @p220 @p196 @p219)) % 35.40/35.68 (step @p224 :rule refl :args (@t80)) % 35.40/35.68 (step @p225 :rule cong :premises (@p224 @p223) :args ((tptp.meet @t80 @t81))) % 35.40/35.68 (step @p226 :rule instantiate :premises (@p7) :args ((@list @t80 @t72 @t73))) % 35.40/35.68 (step @p227 :rule symm :premises (@p186)) % 35.40/35.68 (step @p228 :rule instantiate :premises (@p19) :args ((@list tptp.a @t27))) % 35.40/35.68 (step @p229 :rule symm :premises (@p228)) % 35.40/35.68 (step @p230 :rule trans :premises (@p229 @p85)) % 35.40/35.68 (step @p231 :rule cong :premises (@p230 @p91) :args ((tptp.join (tptp.join tptp.a @t82) @t26))) % 35.40/35.68 (step @p232 :rule instantiate :premises (@p8) :args ((@list tptp.a @t82 @t26))) % 35.40/35.68 (step @p233 :rule symm :premises (@p232)) % 35.40/35.68 (step @p234 :rule refl :args (@t83)) % 35.40/35.68 (step @p235 :rule instantiate :premises (@p54) :args (@t64)) % 35.40/35.68 (step @p236 :rule symm :premises (@p235)) % 35.40/35.68 (step @p237 :rule cong :premises (@p202 @p161) :args ((tptp.meet @t77 @t65))) % 35.40/35.68 (step @p238 :rule instantiate :premises (@p7) :args ((@list @t24 @t67 @t65))) % 35.40/35.68 (step @p239 :rule symm :premises (@p238)) % 35.40/35.68 (step @p240 :rule trans :premises (@p239 @p237 @p236)) % 35.40/35.68 (step @p241 :rule cong :premises (@p240 @p234) :args (@t85)) % 35.40/35.68 (step @p242 :rule trans :premises (@p241 @p233 @p231 @p227 @p187)) % 35.40/35.68 (step @p243 :rule symm :premises (@p217)) % 35.40/35.68 (step @p244 :rule cong :premises (@p243 @p191) :args (@t84)) % 35.40/35.68 (step @p245 :rule cong :premises (@p217 @p192) :args ((tptp.meet @t80 @t75))) % 35.40/35.68 (step @p246 :rule instantiate :premises (@p12) :args ((@list @t24 @t67 @t62))) % 35.40/35.68 (step @p247 :rule symm :premises (@p246)) % 35.40/35.68 (step @p248 :rule symm :premises (@p202)) % 35.40/35.68 (step @p249 :rule cong :premises (@p248 @p154) :args (@t65)) % 35.40/35.68 (step @p250 :rule cong :premises (@p243 @p249) :args (@t84)) % 35.40/35.68 (step @p251 :rule cong :premises (@p99 @p250) :args (@t86)) % 35.40/35.68 (step @p252 :rule trans :premises (@p251 @p247 @p245)) % 35.40/35.68 (step @p253 :rule trans :premises (@p252 @p244)) % 35.40/35.68 (step @p254 :rule cong :premises (@p253 @p242) :args (@t87)) % 35.40/35.68 (step @p255 :rule trans :premises (@p254 @p226 @p225 @p218 @p179 @p177)) % 35.40/35.68 (step @p256 :rule cong :premises (@p255 @p154) :args ((tptp.meet @t87 @t62))) % 35.40/35.68 (step @p257 :rule symm :premises (@p255)) % 35.40/35.68 (step @p258 :rule instantiate :premises (@p5) :args ((@list @t67 @t65))) % 35.40/35.68 (step @p259 :rule symm :premises (@p258)) % 35.40/35.68 (step @p260 :rule symm :premises (@p155)) % 35.40/35.68 (step @p261 :rule cong :premises (@p154 @p13) :args (@t88)) % 35.40/35.68 (step @p262 :rule trans :premises (@p261 @p260 @p191)) % 35.40/35.68 (step @p263 :rule trans :premises (@p262 @p183)) % 35.40/35.68 (step @p264 :rule cong :premises (@p263 @p162) :args ((tptp.meet @t88 (tptp.meet tptp.b @t28)))) % 35.40/35.68 (step @p265 :rule trans :premises (@p264 @p259)) % 35.40/35.68 (step @p266 :rule instantiate :premises (@p19) :args ((@list tptp.b @t25))) % 35.40/35.68 (step @p267 :rule symm :premises (@p266)) % 35.40/35.68 (step @p268 :rule cong :premises (@p267 @p189) :args (@t90)) % 35.40/35.68 (step @p269 :rule symm :premises (@p262)) % 35.40/35.68 (step @p270 :rule cong :premises (@p147 @p88) :args (@t91)) % 35.40/35.68 (step @p271 :rule trans :premises (@p270 @p260 @p191)) % 35.40/35.68 (step @p272 :rule trans :premises (@p271 @p269)) % 35.40/35.68 (step @p273 :rule cong :premises (@p272 @p268) :args ((tptp.meet @t91 @t90))) % 35.40/35.68 (step @p274 :rule instantiate :premises (@p7) :args ((@list @t91 @t89 @t73))) % 35.40/35.68 (step @p275 :rule instantiate :premises (@p6) :args ((@list tptp.b @t62))) % 35.40/35.68 (step @p276 :rule symm :premises (@p275)) % 35.40/35.68 (step @p277 :rule trans :premises (@p276 @p267)) % 35.40/35.68 (step @p278 :rule cong :premises (@p88 @p277) :args ((tptp.join tptp.a (tptp.join @t62 tptp.b)))) % 35.40/35.68 (step @p279 :rule instantiate :premises (@p8) :args ((@list tptp.a @t62 tptp.b))) % 35.40/35.68 (step @p280 :rule cong :premises (@p263 @p118) :args (@t92)) % 35.40/35.68 (step @p281 :rule trans :premises (@p280 @p279 @p278 @p119 @p117 @p44 @p266)) % 35.40/35.68 (step @p282 :rule symm :premises (@p272)) % 35.40/35.68 (step @p283 :rule cong :premises (@p282 @p281) :args ((tptp.meet @t88 @t92))) % 35.40/35.68 (step @p284 :rule instantiate :premises (@p54) :args ((@list @t88 tptp.b))) % 35.40/35.68 (step @p285 :rule symm :premises (@p261)) % 35.40/35.68 (step @p286 :rule trans :premises (@p183 @p155 @p285 @p284 @p283)) % 35.40/35.68 (step @p287 :rule cong :premises (@p286 @p194) :args (@t81)) % 35.40/35.68 (step @p288 :rule cong :premises (@p85 @p91) :args (@t93)) % 35.40/35.68 (step @p289 :rule trans :premises (@p288 @p227 @p187)) % 35.40/35.68 (step @p290 :rule cong :premises (@p191 @p289) :args ((tptp.meet @t65 @t93))) % 35.40/35.68 (step @p291 :rule instantiate :premises (@p12) :args ((@list tptp.a @t62 @t26))) % 35.40/35.68 (step @p292 :rule symm :premises (@p291)) % 35.40/35.68 (step @p293 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b @t25))) % 35.40/35.68 (step @p294 :rule cong :premises (@p104 @p68) :args (@t49)) % 35.40/35.68 (step @p295 :rule trans :premises (@p65 @p63 @p294 @p293)) % 35.40/35.68 (step @p296 :rule cong :premises (@p295 @p91) :args ((tptp.join @t53 @t26))) % 35.40/35.68 (step @p297 :rule instantiate :premises (@p5) :args (@t58)) % 35.40/35.68 (step @p298 :rule symm :premises (@p297)) % 35.40/35.68 (step @p299 :rule cong :premises (@p298 @p91) :args ((tptp.join @t94 @t26))) % 35.40/35.68 (step @p300 :rule instantiate :premises (@p6) :args ((@list @t26 @t94))) % 35.40/35.68 (step @p301 :rule instantiate :premises (@p19) :args ((@list @t26 tptp.b))) % 35.40/35.68 (step @p302 :rule trans :premises (@p301 @p300 @p299 @p296)) % 35.40/35.68 (step @p303 :rule cong :premises (@p263 @p302) :args ((tptp.meet @t88 @t26))) % 35.40/35.68 (step @p304 :rule symm :premises (@p286)) % 35.40/35.68 (step @p305 :rule trans :premises (@p304 @p269)) % 35.40/35.68 (step @p306 :rule cong :premises (@p305 @p91) :args ((tptp.meet (tptp.meet @t91 @t89) @t26))) % 35.40/35.68 (step @p307 :rule instantiate :premises (@p7) :args ((@list @t91 @t89 @t26))) % 35.40/35.68 (step @p308 :rule symm :premises (@p307)) % 35.40/35.68 (step @p309 :rule cong :premises (@p266 @p91) :args (@t53)) % 35.40/35.68 (step @p310 :rule trans :premises (@p67 @p64 @p309)) % 35.40/35.68 (step @p311 :rule symm :premises (@p271)) % 35.40/35.68 (step @p312 :rule symm :premises (@p71)) % 35.40/35.68 (step @p313 :rule instantiate :premises (@p6) :args (@t50)) % 35.40/35.68 (step @p314 :rule symm :premises (@p313)) % 35.40/35.68 (step @p315 :rule trans :premises (@p314 @p312)) % 35.40/35.68 (step @p316 :rule cong :premises (@p315 @p154) :args ((tptp.join (tptp.join @t49 tptp.a) @t62))) % 35.40/35.68 (step @p317 :rule instantiate :premises (@p8) :args ((@list @t49 tptp.a @t62))) % 35.40/35.68 (step @p318 :rule symm :premises (@p317)) % 35.40/35.68 (step @p319 :rule trans :premises (@p318 @p316 @p191)) % 35.40/35.68 (step @p320 :rule trans :premises (@p319 @p311)) % 35.40/35.68 (step @p321 :rule cong :premises (@p320 @p310) :args ((tptp.meet @t95 @t49))) % 35.40/35.68 (step @p322 :rule instantiate :premises (@p5) :args ((@list @t49 @t95))) % 35.40/35.68 (step @p323 :rule instantiate :premises (@p54) :args ((@list @t49 @t65))) % 35.40/35.68 (step @p324 :rule trans :premises (@p323 @p322 @p321 @p308 @p306 @p303)) % 35.40/35.68 (step @p325 :rule cong :premises (@p88 @p324) :args ((tptp.join tptp.a @t49))) % 35.40/35.68 (step @p326 :rule trans :premises (@p71 @p325 @p292 @p290 @p287 @p274 @p273)) % 35.40/35.68 (step @p327 :rule trans :premises (@p326 @p265 @p257)) % 35.40/35.68 (step @p328 :rule cong :premises (@p327 @p154) :args ((tptp.meet tptp.a @t62))) % 35.40/35.68 (step @p329 :rule trans :premises (@p63 @p294 @p293 @p328 @p256 @p160 @p159 @p149 @p148 @p138 @p137)) % 35.40/35.68 (step @p330 :rule cnf_or_pos :args (@t41)) % 35.40/35.68 (step @p331 :rule reordering :premises (@p330) :args ((or @t40 @t38 @t36 (not @t41)))) % 35.40/35.68 (step @p332 :rule chain_m_resolution :premises (@p331 @p329 @p136 @p41) :args (@t36 (@list false false false) (@list @t39 @t37 @t41))) % 35.40/35.68 (assume-push @p351 @t96) % 35.40/35.68 (assume-push @p352 @t98) % 35.40/35.68 (assume-push @p353 @t36) % 35.40/35.68 (step @p336 :rule symm :premises (@p16)) % 35.40/35.68 (step @p337 :rule symm :premises (@p332)) % 35.40/35.68 (step @p338 :rule cong :premises (@p68 @p337) :args (@t97)) % 35.40/35.68 (step @p339 :rule trans :premises (@p20 @p338 @p336)) % 35.40/35.68 (step-pop @p354 :rule scope :premises (@p339)) % 35.40/35.68 (step-pop @p355 :rule scope :premises (@p354)) % 35.40/35.68 (step-pop @p356 :rule scope :premises (@p355)) % 35.40/35.68 (step @p340 :rule process_scope :premises (@p356) :args (@t99)) % 35.40/35.68 (step @p344 :rule implies_elim :premises (@p340)) % 35.40/35.68 (step @p345 :rule cnf_and_neg :args (@t100)) % 35.40/35.68 (step @p346 :rule resolution :premises (@p345 @p344) :args (true @t100)) % 35.40/35.68 (step @p347 :rule reordering :premises (@p346) :args ((or @t99 (not @t96) (not @t98) (not @t36)))) % 35.40/35.68 (step @p348 false :rule chain_m_resolution :premises (@p347 @p332 @p20 @p16 @p15) :args (false (@list false false false true) (@list @t36 @t98 @t96 @t99))) % 35.40/35.68 ) % 35.40/35.68 % SZS output end Proof % 35.40/35.68 % cvc5 exiting %------------------------------------------------------------------------------