%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT248-1 : 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 : n004.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 59.40s 59.60s % Output : Proof 59.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT248-1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n004.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 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 06:06:22 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.34/15.59 --- Run --no-e-matching --full-saturate-quant at 6... % 21.42/21.62 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.43/27.65 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.43/33.68 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 59.40/59.60 % SZS status Unsatisfiable % 59.40/59.60 % SZS output start Proof % 59.40/59.61 ( % 59.40/59.61 (declare-sort $$unsorted 0) % 59.40/59.61 (declare-const tptp.b $$unsorted) % 59.40/59.61 (declare-const tptp.a $$unsorted) % 59.40/59.61 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 59.40/59.61 (declare-const tptp.one $$unsorted) % 59.40/59.61 (declare-const tptp.zero $$unsorted) % 59.40/59.61 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 59.40/59.61 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 59.40/59.61 (define @t1 () (@var "X" $$unsorted)) % 59.40/59.61 (define @t2 () (tptp.meet @t1 @t1)) % 59.40/59.61 (define @t3 () (@list @t1)) % 59.40/59.61 (define @t4 () (forall @t3 (= @t2 @t1))) % 59.40/59.61 (define @t5 () (@var "Y" $$unsorted)) % 59.40/59.61 (define @t6 () (tptp.join @t1 @t5)) % 59.40/59.61 (define @t7 () (tptp.meet @t1 @t6)) % 59.40/59.61 (define @t8 () (@list @t1 @t5)) % 59.40/59.61 (define @t9 () (forall @t8 (= @t7 @t1))) % 59.40/59.61 (define @t10 () (tptp.meet @t1 @t5)) % 59.40/59.61 (define @t11 () (tptp.join @t1 @t10)) % 59.40/59.61 (define @t12 () (forall @t8 (= @t11 @t1))) % 59.40/59.61 (define @t13 () (@var "Z" $$unsorted)) % 59.40/59.61 (define @t14 () (tptp.meet @t5 @t13)) % 59.40/59.61 (define @t15 () (@list @t1 @t5 @t13)) % 59.40/59.61 (define @t16 () (tptp.join @t5 @t13)) % 59.40/59.61 (define @t17 () (tptp.complement @t1)) % 59.40/59.61 (define @t18 () (tptp.join @t1 @t17)) % 59.40/59.61 (define @t19 () (forall @t3 (= @t18 tptp.one))) % 59.40/59.61 (define @t20 () (tptp.meet @t1 @t17)) % 59.40/59.61 (define @t21 () (forall @t3 (= @t20 tptp.zero))) % 59.40/59.61 (define @t22 () (not (= @t6 tptp.one))) % 59.40/59.61 (define @t23 () (not (= @t10 tptp.zero))) % 59.40/59.61 (define @t24 () (or @t23 @t22 (= @t17 @t5))) % 59.40/59.61 (define @t25 () (forall @t8 @t24)) % 59.40/59.61 (define @t26 () (@var "U" $$unsorted)) % 59.40/59.61 (define @t27 () (tptp.meet tptp.b tptp.a)) % 59.40/59.61 (define @t28 () (tptp.complement tptp.a)) % 59.40/59.61 (define @t29 () (tptp.complement tptp.b)) % 59.40/59.61 (define @t30 () (tptp.join @t29 @t28)) % 59.40/59.61 (define @t31 () (tptp.join @t28 @t29)) % 59.40/59.61 (define @t32 () (tptp.meet @t28 tptp.a)) % 59.40/59.61 (define @t33 () (tptp.meet @t28 @t31)) % 59.40/59.61 (define @t34 () (tptp.join @t27 @t29)) % 59.40/59.61 (define @t35 () (@list @t34 @t28)) % 59.40/59.61 (define @t36 () (tptp.meet @t34 @t30)) % 59.40/59.61 (define @t37 () (@list @t36 @t28)) % 59.40/59.61 (define @t38 () (tptp.meet @t28 @t34)) % 59.40/59.61 (define @t39 () (tptp.join tptp.b @t38)) % 59.40/59.61 (define @t40 () (not (= @t39 tptp.one))) % 59.40/59.61 (define @t41 () (tptp.meet tptp.b @t38)) % 59.40/59.61 (define @t42 () (not (= @t41 tptp.zero))) % 59.40/59.61 (define @t43 () (or @t42 @t40 (= @t38 @t29))) % 59.40/59.61 (define @t44 () (forall @t8 (or @t23 @t22 (= @t5 @t17)))) % 59.40/59.61 (define @t45 () (@list tptp.b @t38)) % 59.40/59.61 (define @t46 () (= @t29 @t38)) % 59.40/59.61 (define @t47 () (= tptp.one @t39)) % 59.40/59.61 (define @t48 () (not @t47)) % 59.40/59.61 (define @t49 () (= tptp.zero @t41)) % 59.40/59.61 (define @t50 () (not @t49)) % 59.40/59.61 (define @t51 () (or @t50 @t48 @t46)) % 59.40/59.61 (define @t52 () (tptp.meet @t34 @t28)) % 59.40/59.61 (define @t53 () (@list tptp.b tptp.a)) % 59.40/59.61 (define @t54 () (@list tptp.b)) % 59.40/59.61 (define @t55 () (tptp.meet tptp.b tptp.b)) % 59.40/59.61 (define @t56 () (tptp.join @t27 @t55)) % 59.40/59.61 (define @t57 () (tptp.join @t27 @t52)) % 59.40/59.61 (define @t58 () (tptp.meet tptp.b @t27)) % 59.40/59.61 (define @t59 () (tptp.join @t58 @t29)) % 59.40/59.61 (define @t60 () (@list tptp.a @t28)) % 59.40/59.61 (define @t61 () (tptp.meet tptp.a @t28)) % 59.40/59.61 (define @t62 () (@list tptp.a @t61)) % 59.40/59.61 (define @t63 () (tptp.meet @t27 @t58)) % 59.40/59.61 (define @t64 () (@list tptp.a)) % 59.40/59.61 (define @t65 () (tptp.meet tptp.b @t29)) % 59.40/59.61 (define @t66 () (tptp.meet @t27 @t29)) % 59.40/59.61 (define @t67 () (tptp.join @t28 @t66)) % 59.40/59.61 (define @t68 () (tptp.meet @t34 @t67)) % 59.40/59.61 (define @t69 () (tptp.join @t27 @t68)) % 59.40/59.61 (define @t70 () (tptp.join tptp.a @t28)) % 59.40/59.61 (define @t71 () (tptp.join @t34 @t55)) % 59.40/59.61 (define @t72 () (tptp.meet @t29 @t30)) % 59.40/59.61 (define @t73 () (tptp.meet tptp.b @t28)) % 59.40/59.61 (define @t74 () (tptp.join @t73 @t27)) % 59.40/59.61 (define @t75 () (tptp.join tptp.a @t29)) % 59.40/59.61 (define @t76 () (@list tptp.a @t73)) % 59.40/59.61 (define @t77 () (tptp.meet (tptp.join tptp.a @t73) @t75)) % 59.40/59.61 (define @t78 () (tptp.join @t74 tptp.b)) % 59.40/59.61 (define @t79 () (tptp.join @t27 @t73)) % 59.40/59.61 (define @t80 () (tptp.join @t61 @t58)) % 59.40/59.61 (define @t81 () (tptp.join @t58 @t73)) % 59.40/59.61 (define @t82 () (tptp.join @t61 @t81)) % 59.40/59.61 (define @t83 () (= @t30 @t31)) % 59.40/59.61 (define @t84 () (= @t28 @t33)) % 59.40/59.61 (define @t85 () (= @t33 (tptp.meet @t31 @t28))) % 59.40/59.61 (define @t86 () (tptp.join @t28 @t32)) % 59.40/59.61 (define @t87 () (= @t28 @t86)) % 59.40/59.61 (define @t88 () (= @t28 (tptp.meet @t28 @t86))) % 59.40/59.61 (define @t89 () (tptp.meet @t28 @t33)) % 59.40/59.61 (define @t90 () (tptp.meet @t34 @t89)) % 59.40/59.61 (define @t91 () (= (tptp.meet @t52 @t33) @t90)) % 59.40/59.61 (define @t92 () (= @t52 @t38)) % 59.40/59.61 (define @t93 () (tptp.meet @t30 @t28)) % 59.40/59.61 (define @t94 () (tptp.meet @t34 @t93)) % 59.40/59.61 (define @t95 () (tptp.meet @t36 @t28)) % 59.40/59.61 (define @t96 () (= @t95 @t94)) % 59.40/59.61 (define @t97 () (tptp.meet @t38 @t33)) % 59.40/59.61 (define @t98 () (= @t97 (tptp.meet @t28 (tptp.meet @t34 @t33)))) % 59.40/59.61 (define @t99 () (= @t28 (tptp.join @t28 @t38))) % 59.40/59.61 (define @t100 () (= @t36 (tptp.join @t36 @t95))) % 59.40/59.61 (define @t101 () (= @t95 (tptp.meet @t28 @t36))) % 59.40/59.61 (define @t102 () (tptp.meet @t28 @t52)) % 59.40/59.61 (define @t103 () (tptp.join @t36 @t102)) % 59.40/59.61 (define @t104 () (tptp.join @t28 @t52)) % 59.40/59.61 (define @t105 () (tptp.meet @t104 @t103)) % 59.40/59.61 (define @t106 () (= @t28 @t30)) % 59.40/59.61 (define @t107 () (and @t83 @t84 @t85 @t87 @t88 @t91 @t92 @t96 @t98 @t99 @t100 @t101 @t46)) % 59.40/59.61 (assume @p1 @t4) % 59.40/59.61 (assume @p2 (forall @t3 (= (tptp.join @t1 @t1) @t1))) % 59.40/59.61 (assume @p3 @t9) % 59.40/59.61 (assume @p4 @t12) % 59.40/59.61 (assume @p5 (forall @t8 (= @t10 (tptp.meet @t5 @t1)))) % 59.40/59.61 (assume @p6 (forall @t8 (= @t6 (tptp.join @t5 @t1)))) % 59.40/59.61 (assume @p7 (forall @t15 (= (tptp.meet @t10 @t13) (tptp.meet @t1 @t14)))) % 59.40/59.61 (assume @p8 (forall @t15 (= (tptp.join @t6 @t13) (tptp.join @t1 @t16)))) % 59.40/59.61 (assume @p9 @t19) % 59.40/59.61 (assume @p10 @t21) % 59.40/59.61 (assume @p11 @t25) % 59.40/59.61 (assume @p12 (forall (@list @t1 @t5 @t13 @t26) (= (tptp.meet @t1 (tptp.meet @t16 (tptp.join @t5 @t26))) (tptp.meet @t1 (tptp.join @t5 (tptp.meet @t16 (tptp.join @t26 @t14))))))) % 59.40/59.61 (assume @p13 (= @t27 tptp.a)) % 59.40/59.61 (assume @p14 (not (= @t30 @t28))) % 59.40/59.61 (step @p15 :rule symm :premises (@p14)) % 59.40/59.61 (step @p16 :rule instantiate :premises (@p6) :args ((@list @t29 @t28))) % 59.40/59.61 (step @p17 :rule eq-symm :args (@t7 @t1)) % 59.40/59.61 (step @p18 :rule cong :premises (@p17) :args (@t9)) % 59.40/59.61 (step @p19 :rule eq_resolve :premises (@p3 @p18)) % 59.40/59.61 (step @p20 :rule instantiate :premises (@p19) :args ((@list @t28 @t29))) % 59.40/59.61 (step @p21 :rule instantiate :premises (@p5) :args ((@list @t28 @t31))) % 59.40/59.61 (step @p22 :rule eq-symm :args (@t11 @t1)) % 59.40/59.61 (step @p23 :rule cong :premises (@p22) :args (@t12)) % 59.40/59.61 (step @p24 :rule eq_resolve :premises (@p4 @p23)) % 59.40/59.61 (step @p25 :rule instantiate :premises (@p24) :args ((@list @t28 tptp.a))) % 59.40/59.61 (step @p26 :rule instantiate :premises (@p19) :args ((@list @t28 @t32))) % 59.40/59.61 (step @p27 :rule instantiate :premises (@p7) :args ((@list @t34 @t28 @t33))) % 59.40/59.61 (step @p28 :rule instantiate :premises (@p5) :args (@t35)) % 59.40/59.61 (step @p29 :rule instantiate :premises (@p7) :args ((@list @t34 @t30 @t28))) % 59.40/59.61 (step @p30 :rule instantiate :premises (@p7) :args ((@list @t28 @t34 @t33))) % 59.40/59.61 (step @p31 :rule instantiate :premises (@p24) :args ((@list @t28 @t34))) % 59.40/59.61 (step @p32 :rule instantiate :premises (@p24) :args (@t37)) % 59.40/59.61 (step @p33 :rule instantiate :premises (@p5) :args (@t37)) % 59.40/59.61 (step @p34 :rule eq-symm :args (@t17 @t5)) % 59.40/59.61 (step @p35 :rule refl :args (@t22)) % 59.40/59.61 (step @p36 :rule refl :args (@t23)) % 59.40/59.61 (step @p37 :rule nary_cong :premises (@p36 @p35 @p34) :args (@t24)) % 59.40/59.61 (step @p38 :rule cong :premises (@p37) :args (@t25)) % 59.40/59.61 (step @p39 :rule eq_resolve :premises (@p11 @p38)) % 59.40/59.61 (step @p40 :rule eq-symm :args (@t38 @t29)) % 59.40/59.61 (step @p41 :rule eq-symm :args (@t39 tptp.one)) % 59.40/59.61 (step @p42 :rule cong :premises (@p41) :args (@t40)) % 59.40/59.61 (step @p43 :rule eq-symm :args (@t41 tptp.zero)) % 59.40/59.61 (step @p44 :rule cong :premises (@p43) :args (@t42)) % 59.40/59.61 (step @p45 :rule nary_cong :premises (@p44 @p42 @p40) :args (@t43)) % 59.40/59.61 (step @p46 :rule refl :args (@t44)) % 59.40/59.61 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t44 @t43))) % 59.40/59.61 (assume-push @p305 @t44) % 59.40/59.61 (step @p49 :rule instantiate :premises (@p39) :args (@t45)) % 59.40/59.61 (step-pop @p306 :rule scope :premises (@p49)) % 59.40/59.61 (step @p50 :rule process_scope :premises (@p306) :args (@t43)) % 59.40/59.61 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 59.40/59.61 (step @p53 :rule implies_elim :premises (@p52)) % 59.40/59.61 (step @p54 :rule chain_m_resolution :premises (@p53 @p39) :args (@t51 (@list false) (@list @t44))) % 59.40/59.61 (step @p55 :rule instantiate :premises (@p6) :args (@t45)) % 59.40/59.61 (step @p56 :rule symm :premises (@p55)) % 59.40/59.61 (step @p57 :rule refl :args (tptp.b)) % 59.40/59.61 (step @p58 :rule cong :premises (@p28 @p57) :args ((tptp.join @t52 tptp.b))) % 59.40/59.61 (step @p59 :rule instantiate :premises (@p24) :args (@t53)) % 59.40/59.61 (step @p60 :rule symm :premises (@p59)) % 59.40/59.61 (step @p61 :rule instantiate :premises (@p6) :args ((@list tptp.b @t27))) % 59.40/59.61 (step @p62 :rule symm :premises (@p61)) % 59.40/59.61 (step @p63 :rule eq-symm :args (@t2 @t1)) % 59.40/59.61 (step @p64 :rule cong :premises (@p63) :args (@t4)) % 59.40/59.61 (step @p65 :rule eq_resolve :premises (@p1 @p64)) % 59.40/59.61 (step @p66 :rule instantiate :premises (@p65) :args (@t54)) % 59.40/59.61 (step @p67 :rule symm :premises (@p66)) % 59.40/59.61 (step @p68 :rule refl :args (@t27)) % 59.40/59.61 (step @p69 :rule cong :premises (@p68 @p67) :args (@t56)) % 59.40/59.61 (step @p70 :rule trans :premises (@p69 @p62 @p60)) % 59.40/59.61 (step @p71 :rule refl :args (@t52)) % 59.40/59.61 (step @p72 :rule cong :premises (@p71 @p70) :args ((tptp.join @t52 @t56))) % 59.40/59.61 (step @p73 :rule instantiate :premises (@p8) :args ((@list @t52 @t27 @t55))) % 59.40/59.61 (step @p74 :rule refl :args (@t55)) % 59.40/59.61 (step @p75 :rule instantiate :premises (@p6) :args ((@list @t27 @t52))) % 59.40/59.61 (step @p76 :rule instantiate :premises (@p19) :args ((@list @t57 @t34))) % 59.40/59.61 (step @p77 :rule symm :premises (@p76)) % 59.40/59.61 (step @p78 :rule instantiate :premises (@p8) :args ((@list @t27 @t52 @t34))) % 59.40/59.61 (step @p79 :rule symm :premises (@p78)) % 59.40/59.61 (step @p80 :rule instantiate :premises (@p6) :args ((@list @t34 @t52))) % 59.40/59.61 (step @p81 :rule instantiate :premises (@p24) :args (@t35)) % 59.40/59.61 (step @p82 :rule refl :args (@t29)) % 59.40/59.61 (step @p83 :rule cong :premises (@p57 @p13) :args (@t58)) % 59.40/59.61 (step @p84 :rule cong :premises (@p83 @p82) :args (@t59)) % 59.40/59.61 (step @p85 :rule trans :premises (@p84 @p81 @p80)) % 59.40/59.61 (step @p86 :rule cong :premises (@p68 @p85) :args ((tptp.join @t27 @t59))) % 59.40/59.61 (step @p87 :rule instantiate :premises (@p8) :args ((@list @t27 @t58 @t29))) % 59.40/59.61 (step @p88 :rule symm :premises (@p83)) % 59.40/59.61 (step @p89 :rule instantiate :premises (@p5) :args (@t53)) % 59.40/59.61 (step @p90 :rule symm :premises (@p89)) % 59.40/59.61 (step @p91 :rule trans :premises (@p90 @p88)) % 59.40/59.61 (step @p92 :rule symm :premises (@p13)) % 59.40/59.61 (step @p93 :rule cong :premises (@p92 @p91) :args ((tptp.join tptp.a (tptp.meet tptp.a tptp.b)))) % 59.40/59.61 (step @p94 :rule instantiate :premises (@p24) :args ((@list tptp.a tptp.b))) % 59.40/59.61 (step @p95 :rule trans :premises (@p94 @p93)) % 59.40/59.61 (step @p96 :rule trans :premises (@p13 @p95)) % 59.40/59.61 (step @p97 :rule cong :premises (@p96 @p82) :args (@t34)) % 59.40/59.61 (step @p98 :rule trans :premises (@p97 @p87 @p86 @p79)) % 59.40/59.61 (step @p99 :rule refl :args (@t57)) % 59.40/59.61 (step @p100 :rule cong :premises (@p99 @p98) :args ((tptp.meet @t57 @t34))) % 59.40/59.61 (step @p101 :rule instantiate :premises (@p5) :args ((@list @t34 @t57))) % 59.40/59.61 (step @p102 :rule symm :premises (@p25)) % 59.40/59.61 (step @p103 :rule instantiate :premises (@p5) :args (@t60)) % 59.40/59.61 (step @p104 :rule refl :args (@t28)) % 59.40/59.61 (step @p105 :rule instantiate :premises (@p19) :args (@t62)) % 59.40/59.61 (step @p106 :rule symm :premises (@p105)) % 59.40/59.61 (step @p107 :rule instantiate :premises (@p24) :args (@t60)) % 59.40/59.61 (step @p108 :rule trans :premises (@p83 @p13 @p107)) % 59.40/59.61 (step @p109 :rule cong :premises (@p13 @p108) :args (@t63)) % 59.40/59.61 (step @p110 :rule trans :premises (@p109 @p106)) % 59.40/59.61 (step @p111 :rule cong :premises (@p110 @p104) :args ((tptp.meet @t63 @t28))) % 59.40/59.61 (step @p112 :rule instantiate :premises (@p7) :args ((@list @t27 @t58 @t28))) % 59.40/59.61 (step @p113 :rule symm :premises (@p112)) % 59.40/59.61 (step @p114 :rule trans :premises (@p83 @p13)) % 59.40/59.61 (step @p115 :rule symm :premises (@p114)) % 59.40/59.61 (step @p116 :rule cong :premises (@p115 @p104) :args (@t61)) % 59.40/59.61 (step @p117 :rule cong :premises (@p92 @p116) :args ((tptp.meet tptp.a @t61))) % 59.40/59.61 (step @p118 :rule eq-symm :args (@t20 tptp.zero)) % 59.40/59.61 (step @p119 :rule cong :premises (@p118) :args (@t21)) % 59.40/59.61 (step @p120 :rule eq_resolve :premises (@p10 @p119)) % 59.40/59.61 (step @p121 :rule instantiate :premises (@p120) :args (@t64)) % 59.40/59.61 (step @p122 :rule instantiate :premises (@p120) :args (@t54)) % 59.40/59.61 (step @p123 :rule symm :premises (@p122)) % 59.40/59.61 (step @p124 :rule trans :premises (@p123 @p121)) % 59.40/59.61 (step @p125 :rule refl :args (tptp.a)) % 59.40/59.61 (step @p126 :rule cong :premises (@p125 @p124) :args ((tptp.meet tptp.a @t65))) % 59.40/59.61 (step @p127 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b @t29))) % 59.40/59.61 (step @p128 :rule cong :premises (@p89 @p82) :args (@t66)) % 59.40/59.61 (step @p129 :rule trans :premises (@p128 @p127 @p126 @p117 @p113 @p111 @p103)) % 59.40/59.61 (step @p130 :rule cong :premises (@p104 @p129) :args (@t67)) % 59.40/59.61 (step @p131 :rule trans :premises (@p130 @p102)) % 59.40/59.61 (step @p132 :rule refl :args (@t34)) % 59.40/59.61 (step @p133 :rule cong :premises (@p132 @p131) :args (@t68)) % 59.40/59.61 (step @p134 :rule cong :premises (@p68 @p133) :args (@t69)) % 59.40/59.61 (step @p135 :rule cong :premises (@p132 @p134) :args ((tptp.meet @t34 @t69))) % 59.40/59.61 (step @p136 :rule instantiate :premises (@p12) :args ((@list @t34 @t27 @t29 @t28))) % 59.40/59.61 (step @p137 :rule cong :premises (@p92 @p104) :args (@t70)) % 59.40/59.61 (step @p138 :rule cong :premises (@p132 @p137) :args ((tptp.meet @t34 @t70))) % 59.40/59.61 (step @p139 :rule eq-symm :args (@t18 tptp.one)) % 59.40/59.61 (step @p140 :rule cong :premises (@p139) :args (@t19)) % 59.40/59.61 (step @p141 :rule eq_resolve :premises (@p9 @p140)) % 59.40/59.61 (step @p142 :rule instantiate :premises (@p141) :args (@t64)) % 59.40/59.61 (step @p143 :rule instantiate :premises (@p141) :args (@t54)) % 59.40/59.61 (step @p144 :rule symm :premises (@p143)) % 59.40/59.61 (step @p145 :rule cong :premises (@p60 @p82) :args ((tptp.join (tptp.join tptp.b @t27) @t29))) % 59.40/59.61 (step @p146 :rule instantiate :premises (@p8) :args ((@list tptp.b @t27 @t29))) % 59.40/59.61 (step @p147 :rule symm :premises (@p146)) % 59.40/59.61 (step @p148 :rule instantiate :premises (@p6) :args ((@list tptp.b @t34))) % 59.40/59.61 (step @p149 :rule symm :premises (@p148)) % 59.40/59.61 (step @p150 :rule cong :premises (@p132 @p67) :args (@t71)) % 59.40/59.61 (step @p151 :rule trans :premises (@p150 @p149 @p147 @p145 @p144 @p142)) % 59.40/59.61 (step @p152 :rule cong :premises (@p132 @p151) :args ((tptp.meet @t34 @t71))) % 59.40/59.61 (step @p153 :rule instantiate :premises (@p19) :args ((@list @t34 @t55))) % 59.40/59.61 (step @p154 :rule trans :premises (@p153 @p152 @p138)) % 59.40/59.61 (step @p155 :rule cong :premises (@p132 @p154) :args ((tptp.meet @t34 @t34))) % 59.40/59.61 (step @p156 :rule instantiate :premises (@p24) :args ((@list @t29 @t30))) % 59.40/59.61 (step @p157 :rule symm :premises (@p156)) % 59.40/59.61 (step @p158 :rule cong :premises (@p68 @p157) :args ((tptp.join @t27 (tptp.join @t29 @t72)))) % 59.40/59.61 (step @p159 :rule instantiate :premises (@p8) :args ((@list @t27 @t29 @t72))) % 59.40/59.61 (step @p160 :rule trans :premises (@p159 @p158)) % 59.40/59.61 (step @p161 :rule cong :premises (@p132 @p160) :args ((tptp.meet @t34 (tptp.join @t34 @t72)))) % 59.40/59.61 (step @p162 :rule instantiate :premises (@p19) :args ((@list @t34 @t72))) % 59.40/59.61 (step @p163 :rule trans :premises (@p162 @p161 @p155 @p136 @p135 @p101 @p100 @p77 @p75)) % 59.40/59.61 (step @p164 :rule cong :premises (@p163 @p74) :args (@t71)) % 59.40/59.61 (step @p165 :rule symm :premises (@p150)) % 59.40/59.61 (step @p166 :rule symm :premises (@p145)) % 59.40/59.61 (step @p167 :rule trans :premises (@p143 @p166 @p146 @p148 @p165 @p164 @p73 @p72 @p58 @p56)) % 59.40/59.61 (step @p168 :rule instantiate :premises (@p7) :args ((@list tptp.b @t28 @t34))) % 59.40/59.61 (step @p169 :rule instantiate :premises (@p19) :args ((@list @t73 @t27))) % 59.40/59.61 (step @p170 :rule symm :premises (@p169)) % 59.40/59.61 (step @p171 :rule cong :premises (@p170 @p132) :args ((tptp.meet (tptp.meet @t73 @t74) @t34))) % 59.40/59.61 (step @p172 :rule instantiate :premises (@p7) :args ((@list @t73 @t74 @t34))) % 59.40/59.61 (step @p173 :rule symm :premises (@p172)) % 59.40/59.61 (step @p174 :rule cong :premises (@p92 @p82) :args (@t75)) % 59.40/59.61 (step @p175 :rule refl :args (@t73)) % 59.40/59.61 (step @p176 :rule cong :premises (@p175 @p92) :args ((tptp.join @t73 tptp.a))) % 59.40/59.61 (step @p177 :rule instantiate :premises (@p6) :args (@t76)) % 59.40/59.61 (step @p178 :rule trans :premises (@p177 @p176)) % 59.40/59.61 (step @p179 :rule cong :premises (@p178 @p174) :args (@t77)) % 59.40/59.61 (step @p180 :rule cong :premises (@p175 @p179) :args ((tptp.meet @t73 @t77))) % 59.40/59.61 (step @p181 :rule instantiate :premises (@p12) :args ((@list @t73 tptp.a @t73 @t29))) % 59.40/59.61 (step @p182 :rule symm :premises (@p181)) % 59.40/59.61 (step @p183 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b @t28))) % 59.40/59.61 (step @p184 :rule trans :premises (@p92 @p89)) % 59.40/59.61 (step @p185 :rule cong :premises (@p184 @p104) :args (@t61)) % 59.40/59.61 (step @p186 :rule instantiate :premises (@p5) :args ((@list tptp.b @t29))) % 59.40/59.61 (step @p187 :rule symm :premises (@p186)) % 59.40/59.61 (step @p188 :rule trans :premises (@p187 @p123 @p121 @p185 @p183)) % 59.40/59.61 (step @p189 :rule cong :premises (@p82 @p188) :args ((tptp.join @t29 (tptp.meet @t29 tptp.b)))) % 59.40/59.61 (step @p190 :rule instantiate :premises (@p24) :args ((@list @t29 tptp.b))) % 59.40/59.61 (step @p191 :rule trans :premises (@p190 @p189)) % 59.40/59.61 (step @p192 :rule symm :premises (@p178)) % 59.40/59.61 (step @p193 :rule cong :premises (@p192 @p191) :args ((tptp.meet @t74 @t29))) % 59.40/59.61 (step @p194 :rule instantiate :premises (@p19) :args ((@list @t74 tptp.b))) % 59.40/59.61 (step @p195 :rule symm :premises (@p194)) % 59.40/59.61 (step @p196 :rule cong :premises (@p195 @p82) :args ((tptp.meet (tptp.meet @t74 @t78) @t29))) % 59.40/59.61 (step @p197 :rule instantiate :premises (@p7) :args ((@list @t74 @t78 @t29))) % 59.40/59.61 (step @p198 :rule symm :premises (@p197)) % 59.40/59.61 (step @p199 :rule cong :premises (@p13 @p175) :args (@t79)) % 59.40/59.61 (step @p200 :rule trans :premises (@p199 @p177 @p176)) % 59.40/59.61 (step @p201 :rule cong :premises (@p200 @p57) :args ((tptp.join @t79 tptp.b))) % 59.40/59.61 (step @p202 :rule instantiate :premises (@p8) :args ((@list @t27 @t73 tptp.b))) % 59.40/59.61 (step @p203 :rule symm :premises (@p202)) % 59.40/59.61 (step @p204 :rule instantiate :premises (@p6) :args ((@list tptp.b @t73))) % 59.40/59.61 (step @p205 :rule instantiate :premises (@p24) :args ((@list tptp.b @t28))) % 59.40/59.61 (step @p206 :rule trans :premises (@p205 @p204)) % 59.40/59.61 (step @p207 :rule cong :premises (@p68 @p206) :args ((tptp.join @t27 tptp.b))) % 59.40/59.61 (step @p208 :rule trans :premises (@p59 @p61 @p207 @p203 @p201)) % 59.40/59.61 (step @p209 :rule cong :premises (@p208 @p82) :args (@t65)) % 59.40/59.61 (step @p210 :rule symm :premises (@p121)) % 59.40/59.61 (step @p211 :rule trans :premises (@p210 @p122 @p209)) % 59.40/59.61 (step @p212 :rule symm :premises (@p107)) % 59.40/59.61 (step @p213 :rule instantiate :premises (@p6) :args (@t62)) % 59.40/59.61 (step @p214 :rule symm :premises (@p213)) % 59.40/59.61 (step @p215 :rule refl :args (@t61)) % 59.40/59.61 (step @p216 :rule cong :premises (@p215 @p114) :args (@t80)) % 59.40/59.61 (step @p217 :rule trans :premises (@p216 @p214 @p212)) % 59.40/59.61 (step @p218 :rule cong :premises (@p217 @p175) :args ((tptp.join @t80 @t73))) % 59.40/59.61 (step @p219 :rule instantiate :premises (@p8) :args ((@list @t61 @t58 @t73))) % 59.40/59.61 (step @p220 :rule symm :premises (@p219)) % 59.40/59.61 (step @p221 :rule trans :premises (@p220 @p218)) % 59.40/59.61 (step @p222 :rule trans :premises (@p221 @p178)) % 59.40/59.61 (step @p223 :rule cong :premises (@p222 @p211) :args ((tptp.meet @t82 @t61))) % 59.40/59.61 (step @p224 :rule instantiate :premises (@p5) :args ((@list @t61 @t82))) % 59.40/59.61 (step @p225 :rule instantiate :premises (@p19) :args ((@list @t61 @t81))) % 59.40/59.61 (step @p226 :rule trans :premises (@p225 @p224 @p223 @p198 @p196 @p193)) % 59.40/59.61 (step @p227 :rule cong :premises (@p125 @p226) :args ((tptp.join tptp.a @t61))) % 59.40/59.61 (step @p228 :rule trans :premises (@p107 @p227)) % 59.40/59.61 (step @p229 :rule cong :premises (@p175 @p228) :args ((tptp.meet @t73 tptp.a))) % 59.40/59.61 (step @p230 :rule instantiate :premises (@p5) :args (@t76)) % 59.40/59.61 (step @p231 :rule trans :premises (@p121 @p185 @p183 @p230 @p229 @p182 @p180 @p173 @p171 @p168)) % 59.40/59.61 (step @p232 :rule cnf_or_pos :args (@t51)) % 59.40/59.61 (step @p233 :rule reordering :premises (@p232) :args ((or @t50 @t48 @t46 (not @t51)))) % 59.40/59.61 (step @p234 :rule chain_m_resolution :premises (@p233 @p231 @p167 @p54) :args (@t46 (@list false false false) (@list @t49 @t47 @t51))) % 59.40/59.61 (assume-push @p307 @t83) % 59.40/59.61 (assume-push @p308 @t84) % 59.40/59.61 (assume-push @p309 @t85) % 59.40/59.61 (assume-push @p310 @t87) % 59.40/59.61 (assume-push @p311 @t88) % 59.40/59.61 (assume-push @p312 @t91) % 59.40/59.61 (assume-push @p313 @t92) % 59.40/59.61 (assume-push @p314 @t96) % 59.40/59.61 (assume-push @p315 @t98) % 59.40/59.61 (assume-push @p316 @t99) % 59.40/59.61 (assume-push @p317 @t100) % 59.40/59.61 (assume-push @p318 @t101) % 59.40/59.61 (assume-push @p319 @t46) % 59.40/59.61 (step @p248 :rule symm :premises (@p16)) % 59.40/59.61 (step @p249 :rule symm :premises (@p234)) % 59.40/59.61 (step @p250 :rule symm :premises (@p20)) % 59.40/59.61 (step @p251 :rule symm :premises (@p21)) % 59.40/59.61 (step @p252 :rule cong :premises (@p16 @p104) :args (@t93)) % 59.40/59.61 (step @p253 :rule trans :premises (@p252 @p251 @p250)) % 59.40/59.61 (step @p254 :rule cong :premises (@p132 @p253) :args (@t94)) % 59.40/59.61 (step @p255 :rule symm :premises (@p33)) % 59.40/59.61 (step @p256 :rule symm :premises (@p32)) % 59.40/59.61 (step @p257 :rule symm :premises (@p29)) % 59.40/59.61 (step @p258 :rule symm :premises (@p254)) % 59.40/59.61 (step @p259 :rule symm :premises (@p26)) % 59.40/59.61 (step @p260 :rule trans :premises (@p250 @p25)) % 59.40/59.61 (step @p261 :rule cong :premises (@p104 @p260) :args (@t89)) % 59.40/59.61 (step @p262 :rule trans :premises (@p261 @p259)) % 59.40/59.61 (step @p263 :rule cong :premises (@p132 @p262) :args (@t90)) % 59.40/59.61 (step @p264 :rule refl :args (@t33)) % 59.40/59.61 (step @p265 :rule symm :premises (@p28)) % 59.40/59.61 (step @p266 :rule cong :premises (@p265 @p264) :args (@t97)) % 59.40/59.61 (step @p267 :rule symm :premises (@p30)) % 59.40/59.61 (step @p268 :rule cong :premises (@p132 @p20) :args (@t52)) % 59.40/59.61 (step @p269 :rule cong :premises (@p250 @p268) :args ((tptp.meet @t33 @t52))) % 59.40/59.61 (step @p270 :rule cong :premises (@p20 @p71) :args (@t102)) % 59.40/59.61 (step @p271 :rule trans :premises (@p270 @p269 @p267 @p266 @p27 @p263 @p258 @p257)) % 59.40/59.61 (step @p272 :rule refl :args (@t36)) % 59.40/59.61 (step @p273 :rule cong :premises (@p272 @p271) :args (@t103)) % 59.40/59.61 (step @p274 :rule trans :premises (@p273 @p256)) % 59.40/59.61 (step @p275 :rule symm :premises (@p31)) % 59.40/59.61 (step @p276 :rule cong :premises (@p104 @p28) :args (@t104)) % 59.40/59.61 (step @p277 :rule trans :premises (@p276 @p275)) % 59.40/59.61 (step @p278 :rule cong :premises (@p277 @p274) :args (@t105)) % 59.40/59.61 (step @p279 :rule trans :premises (@p278 @p255 @p29 @p254 @p28 @p249)) % 59.40/59.61 (step @p280 :rule cong :premises (@p104 @p279) :args ((tptp.join @t28 @t105))) % 59.40/59.61 (step @p281 :rule symm :premises (@p278)) % 59.40/59.61 (step @p282 :rule trans :premises (@p258 @p257 @p33 @p281)) % 59.40/59.61 (step @p283 :rule cong :premises (@p104 @p282) :args (@t104)) % 59.40/59.61 (step @p284 :rule symm :premises (@p276)) % 59.40/59.61 (step @p285 :rule trans :premises (@p31 @p284 @p283 @p280 @p248)) % 59.40/59.61 (step-pop @p320 :rule scope :premises (@p285)) % 59.40/59.61 (step-pop @p321 :rule scope :premises (@p320)) % 59.40/59.61 (step-pop @p322 :rule scope :premises (@p321)) % 59.40/59.61 (step-pop @p323 :rule scope :premises (@p322)) % 59.40/59.61 (step-pop @p324 :rule scope :premises (@p323)) % 59.40/59.61 (step-pop @p325 :rule scope :premises (@p324)) % 59.40/59.61 (step-pop @p326 :rule scope :premises (@p325)) % 59.40/59.61 (step-pop @p327 :rule scope :premises (@p326)) % 59.40/59.61 (step-pop @p328 :rule scope :premises (@p327)) % 59.40/59.61 (step-pop @p329 :rule scope :premises (@p328)) % 59.40/59.61 (step-pop @p330 :rule scope :premises (@p329)) % 59.40/59.61 (step-pop @p331 :rule scope :premises (@p330)) % 59.40/59.61 (step-pop @p332 :rule scope :premises (@p331)) % 59.40/59.61 (step @p286 :rule process_scope :premises (@p332) :args (@t106)) % 59.40/59.61 (step @p300 :rule implies_elim :premises (@p286)) % 59.40/59.61 (step @p301 :rule cnf_and_neg :args (@t107)) % 59.40/59.61 (step @p302 :rule resolution :premises (@p301 @p300) :args (true @t107)) % 59.40/59.61 (step @p303 :rule reordering :premises (@p302) :args ((or @t106 (not @t83) (not @t84) (not @t85) (not @t87) (not @t88) (not @t91) (not @t92) (not @t96) (not @t98) (not @t99) (not @t100) (not @t101) (not @t46)))) % 59.40/59.61 (step @p304 false :rule chain_m_resolution :premises (@p303 @p234 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p21 @p20 @p16 @p15) :args (false (@list false false false false false false false false false false false false false true) (@list @t46 @t101 @t100 @t99 @t98 @t96 @t92 @t91 @t88 @t87 @t85 @t84 @t83 @t106))) % 59.40/59.61 ) % 59.40/59.61 % SZS output end Proof % 59.40/59.61 % cvc5 exiting %------------------------------------------------------------------------------