%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT254-1 : 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 : n020.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 25.22s 25.41s % Output : Proof 25.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT254-1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.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 06:06:55 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.31/15.59 --- 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... % 25.22/25.41 % SZS status Unsatisfiable % 25.22/25.41 % SZS output start Proof % 25.22/25.42 ( % 25.22/25.42 (declare-sort $$unsorted 0) % 25.22/25.42 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 25.22/25.42 (declare-const tptp.one $$unsorted) % 25.22/25.42 (declare-const tptp.a $$unsorted) % 25.22/25.42 (declare-const tptp.zero $$unsorted) % 25.22/25.42 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 25.22/25.42 (declare-const tptp.b $$unsorted) % 25.22/25.42 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 25.22/25.42 (define @t1 () (@var "X" $$unsorted)) % 25.22/25.42 (define @t2 () (tptp.meet @t1 @t1)) % 25.22/25.42 (define @t3 () (@list @t1)) % 25.22/25.42 (define @t4 () (forall @t3 (= @t2 @t1))) % 25.22/25.42 (define @t5 () (tptp.join @t1 @t1)) % 25.22/25.42 (define @t6 () (forall @t3 (= @t5 @t1))) % 25.22/25.42 (define @t7 () (@var "Y" $$unsorted)) % 25.22/25.42 (define @t8 () (tptp.join @t1 @t7)) % 25.22/25.42 (define @t9 () (tptp.meet @t1 @t8)) % 25.22/25.42 (define @t10 () (@list @t1 @t7)) % 25.22/25.42 (define @t11 () (forall @t10 (= @t9 @t1))) % 25.22/25.42 (define @t12 () (tptp.meet @t1 @t7)) % 25.22/25.42 (define @t13 () (tptp.join @t1 @t12)) % 25.22/25.42 (define @t14 () (forall @t10 (= @t13 @t1))) % 25.22/25.42 (define @t15 () (@var "Z" $$unsorted)) % 25.22/25.42 (define @t16 () (@list @t1 @t7 @t15)) % 25.22/25.42 (define @t17 () (tptp.complement @t1)) % 25.22/25.42 (define @t18 () (tptp.join @t1 @t17)) % 25.22/25.42 (define @t19 () (forall @t3 (= @t18 tptp.one))) % 25.22/25.42 (define @t20 () (tptp.meet @t1 @t17)) % 25.22/25.42 (define @t21 () (forall @t3 (= @t20 tptp.zero))) % 25.22/25.42 (define @t22 () (not (= @t8 tptp.one))) % 25.22/25.42 (define @t23 () (not (= @t12 tptp.zero))) % 25.22/25.42 (define @t24 () (or @t23 @t22 (= @t17 @t7))) % 25.22/25.42 (define @t25 () (forall @t10 @t24)) % 25.22/25.42 (define @t26 () (@var "U" $$unsorted)) % 25.22/25.42 (define @t27 () (tptp.meet tptp.b tptp.a)) % 25.22/25.42 (define @t28 () (tptp.complement tptp.a)) % 25.22/25.42 (define @t29 () (tptp.complement tptp.b)) % 25.22/25.42 (define @t30 () (@list tptp.b)) % 25.22/25.42 (define @t31 () (@list tptp.a)) % 25.22/25.42 (define @t32 () (@list tptp.b @t29)) % 25.22/25.42 (define @t33 () (@list tptp.b tptp.b @t29)) % 25.22/25.42 (define @t34 () (tptp.join tptp.b @t28)) % 25.22/25.42 (define @t35 () (@list @t34)) % 25.22/25.42 (define @t36 () (@list @t34 @t29)) % 25.22/25.42 (define @t37 () (tptp.join @t28 @t29)) % 25.22/25.42 (define @t38 () (tptp.join tptp.a @t37)) % 25.22/25.42 (define @t39 () (not (= @t38 tptp.one))) % 25.22/25.42 (define @t40 () (tptp.meet tptp.a @t37)) % 25.22/25.42 (define @t41 () (not (= @t40 tptp.zero))) % 25.22/25.42 (define @t42 () (or @t41 @t39 (= @t37 @t28))) % 25.22/25.42 (define @t43 () (forall @t10 (or @t23 @t22 (= @t7 @t17)))) % 25.22/25.42 (define @t44 () (= @t28 @t37)) % 25.22/25.42 (define @t45 () (= tptp.one @t38)) % 25.22/25.42 (define @t46 () (not @t45)) % 25.22/25.42 (define @t47 () (= tptp.zero @t40)) % 25.22/25.42 (define @t48 () (not @t47)) % 25.22/25.42 (define @t49 () (or @t48 @t46 @t44)) % 25.22/25.42 (define @t50 () (@list false)) % 25.22/25.42 (define @t51 () (@list @t43)) % 25.22/25.42 (define @t52 () (tptp.join tptp.b tptp.b)) % 25.22/25.42 (define @t53 () (tptp.join @t52 @t29)) % 25.22/25.42 (define @t54 () (tptp.join tptp.a @t28)) % 25.22/25.42 (define @t55 () (tptp.join tptp.b @t54)) % 25.22/25.42 (define @t56 () (tptp.join tptp.b @t27)) % 25.22/25.42 (define @t57 () (tptp.meet @t29 @t34)) % 25.22/25.42 (define @t58 () (tptp.join tptp.a @t34)) % 25.22/25.42 (define @t59 () (tptp.meet @t29 @t58)) % 25.22/25.42 (define @t60 () (tptp.join @t28 @t59)) % 25.22/25.42 (define @t61 () (tptp.meet tptp.b @t29)) % 25.22/25.42 (define @t62 () (tptp.meet tptp.a @t28)) % 25.22/25.42 (define @t63 () (tptp.complement @t34)) % 25.22/25.42 (define @t64 () (tptp.meet @t34 @t63)) % 25.22/25.42 (define @t65 () (tptp.join @t61 @t61)) % 25.22/25.42 (define @t66 () (tptp.complement @t28)) % 25.22/25.42 (define @t67 () (= tptp.a @t66)) % 25.22/25.42 (define @t68 () (tptp.join @t28 tptp.a)) % 25.22/25.42 (define @t69 () (not (= @t68 tptp.one))) % 25.22/25.42 (define @t70 () (tptp.meet @t28 tptp.a)) % 25.22/25.42 (define @t71 () (not (= @t70 tptp.zero))) % 25.22/25.42 (define @t72 () (or @t71 @t69 @t67)) % 25.22/25.42 (define @t73 () (= tptp.one @t68)) % 25.22/25.42 (define @t74 () (not @t73)) % 25.22/25.42 (define @t75 () (= tptp.zero @t70)) % 25.22/25.42 (define @t76 () (not @t75)) % 25.22/25.42 (define @t77 () (or @t76 @t74 @t67)) % 25.22/25.42 (define @t78 () (@list tptp.a @t28)) % 25.22/25.42 (define @t79 () (tptp.meet @t28 @t61)) % 25.22/25.42 (define @t80 () (tptp.meet @t29 @t61)) % 25.22/25.42 (define @t81 () (tptp.meet @t34 @t29)) % 25.22/25.42 (define @t82 () (tptp.join @t28 @t81)) % 25.22/25.42 (define @t83 () (tptp.join tptp.a @t82)) % 25.22/25.42 (define @t84 () (tptp.join @t54 @t81)) % 25.22/25.42 (define @t85 () (= @t84 @t83)) % 25.22/25.42 (define @t86 () (not @t85)) % 25.22/25.42 (define @t87 () (tptp.join @t29 tptp.b)) % 25.22/25.42 (define @t88 () (= @t29 (tptp.meet @t29 @t87))) % 25.22/25.42 (define @t89 () (not @t88)) % 25.22/25.42 (define @t90 () (= @t81 @t57)) % 25.22/25.42 (define @t91 () (not @t90)) % 25.22/25.42 (define @t92 () (= @t34 (tptp.join @t34 @t81))) % 25.22/25.42 (define @t93 () (not @t92)) % 25.22/25.42 (define @t94 () (tptp.meet @t34 @t34)) % 25.22/25.42 (define @t95 () (= @t34 @t94)) % 25.22/25.42 (define @t96 () (not @t95)) % 25.22/25.42 (define @t97 () (tptp.join @t34 @t94)) % 25.22/25.42 (define @t98 () (= @t34 @t97)) % 25.22/25.42 (define @t99 () (not @t98)) % 25.22/25.42 (define @t100 () (= (tptp.join (tptp.join tptp.b tptp.a) @t28) @t55)) % 25.22/25.42 (define @t101 () (not @t100)) % 25.22/25.42 (define @t102 () (tptp.join tptp.b @t29)) % 25.22/25.42 (define @t103 () (= @t53 (tptp.join tptp.b @t102))) % 25.22/25.42 (define @t104 () (not @t103)) % 25.22/25.42 (define @t105 () (= @t102 @t87)) % 25.22/25.42 (define @t106 () (not @t105)) % 25.22/25.42 (define @t107 () (= tptp.one @t54)) % 25.22/25.42 (define @t108 () (not @t107)) % 25.22/25.42 (define @t109 () (= tptp.b @t56)) % 25.22/25.42 (define @t110 () (not @t109)) % 25.22/25.42 (define @t111 () (= tptp.one @t102)) % 25.22/25.42 (define @t112 () (not @t111)) % 25.22/25.42 (define @t113 () (= tptp.b @t52)) % 25.22/25.42 (define @t114 () (not @t113)) % 25.22/25.42 (define @t115 () (= tptp.a @t27)) % 25.22/25.42 (define @t116 () (not @t115)) % 25.22/25.42 (define @t117 () (tptp.meet @t34 @t97)) % 25.22/25.42 (define @t118 () (tptp.join @t117 @t81)) % 25.22/25.42 (define @t119 () (and @t85 @t86)) % 25.22/25.42 (assume @p1 @t4) % 25.22/25.42 (assume @p2 @t6) % 25.22/25.42 (assume @p3 @t11) % 25.22/25.42 (assume @p4 @t14) % 25.22/25.42 (assume @p5 (forall @t10 (= @t12 (tptp.meet @t7 @t1)))) % 25.22/25.42 (assume @p6 (forall @t10 (= @t8 (tptp.join @t7 @t1)))) % 25.22/25.42 (assume @p7 (forall @t16 (= (tptp.meet @t12 @t15) (tptp.meet @t1 (tptp.meet @t7 @t15))))) % 25.22/25.42 (assume @p8 (forall @t16 (= (tptp.join @t8 @t15) (tptp.join @t1 (tptp.join @t7 @t15))))) % 25.22/25.42 (assume @p9 @t19) % 25.22/25.42 (assume @p10 @t21) % 25.22/25.42 (assume @p11 @t25) % 25.22/25.42 (assume @p12 (forall (@list @t1 @t7 @t15 @t26) (= (tptp.meet @t1 (tptp.join @t7 (tptp.meet @t15 (tptp.join @t1 @t26)))) (tptp.meet @t1 (tptp.join (tptp.meet @t1 (tptp.join @t7 (tptp.meet @t1 @t15))) (tptp.meet @t15 @t26)))))) % 25.22/25.42 (assume @p13 (= @t27 tptp.a)) % 25.22/25.42 (assume @p14 (not (= (tptp.join @t29 @t28) @t28))) % 25.22/25.42 (step @p15 :rule symm :premises (@p13)) % 25.22/25.42 (step @p16 :rule eq-symm :args (@t5 @t1)) % 25.22/25.42 (step @p17 :rule cong :premises (@p16) :args (@t6)) % 25.22/25.42 (step @p18 :rule eq_resolve :premises (@p2 @p17)) % 25.22/25.42 (step @p19 :rule instantiate :premises (@p18) :args (@t30)) % 25.22/25.42 (step @p20 :rule eq-symm :args (@t18 tptp.one)) % 25.22/25.42 (step @p21 :rule cong :premises (@p20) :args (@t19)) % 25.22/25.42 (step @p22 :rule eq_resolve :premises (@p9 @p21)) % 25.22/25.42 (step @p23 :rule instantiate :premises (@p22) :args (@t30)) % 25.22/25.42 (step @p24 :rule eq-symm :args (@t13 @t1)) % 25.22/25.42 (step @p25 :rule cong :premises (@p24) :args (@t14)) % 25.22/25.42 (step @p26 :rule eq_resolve :premises (@p4 @p25)) % 25.22/25.42 (step @p27 :rule instantiate :premises (@p26) :args ((@list tptp.b tptp.a))) % 25.22/25.42 (step @p28 :rule instantiate :premises (@p22) :args (@t31)) % 25.22/25.42 (step @p29 :rule instantiate :premises (@p6) :args (@t32)) % 25.22/25.42 (step @p30 :rule instantiate :premises (@p8) :args (@t33)) % 25.22/25.42 (step @p31 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.a @t28))) % 25.22/25.42 (step @p32 :rule instantiate :premises (@p26) :args ((@list @t34 @t34))) % 25.22/25.42 (step @p33 :rule eq-symm :args (@t2 @t1)) % 25.22/25.42 (step @p34 :rule cong :premises (@p33) :args (@t4)) % 25.22/25.42 (step @p35 :rule eq_resolve :premises (@p1 @p34)) % 25.22/25.42 (step @p36 :rule instantiate :premises (@p35) :args (@t35)) % 25.22/25.42 (step @p37 :rule instantiate :premises (@p26) :args (@t36)) % 25.22/25.42 (step @p38 :rule instantiate :premises (@p5) :args (@t36)) % 25.22/25.42 (step @p39 :rule eq-symm :args (@t9 @t1)) % 25.22/25.42 (step @p40 :rule cong :premises (@p39) :args (@t11)) % 25.22/25.42 (step @p41 :rule eq_resolve :premises (@p3 @p40)) % 25.22/25.42 (step @p42 :rule instantiate :premises (@p41) :args ((@list @t29 tptp.b))) % 25.22/25.42 (step @p43 :rule eq-symm :args (@t17 @t7)) % 25.22/25.42 (step @p44 :rule refl :args (@t22)) % 25.22/25.42 (step @p45 :rule refl :args (@t23)) % 25.22/25.42 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43) :args (@t24)) % 25.22/25.42 (step @p47 :rule cong :premises (@p46) :args (@t25)) % 25.22/25.42 (step @p48 :rule eq_resolve :premises (@p11 @p47)) % 25.22/25.42 (step @p49 :rule eq-symm :args (@t37 @t28)) % 25.22/25.42 (step @p50 :rule eq-symm :args (@t38 tptp.one)) % 25.22/25.42 (step @p51 :rule cong :premises (@p50) :args (@t39)) % 25.22/25.42 (step @p52 :rule eq-symm :args (@t40 tptp.zero)) % 25.22/25.42 (step @p53 :rule cong :premises (@p52) :args (@t41)) % 25.22/25.42 (step @p54 :rule nary_cong :premises (@p53 @p51 @p49) :args (@t42)) % 25.22/25.42 (step @p55 :rule refl :args (@t43)) % 25.22/25.42 (step @p56 :rule cong :premises (@p55 @p54) :args ((=> @t43 @t42))) % 25.22/25.42 (assume-push @p293 @t43) % 25.22/25.42 (step @p58 :rule instantiate :premises (@p48) :args ((@list tptp.a @t37))) % 25.22/25.42 (step-pop @p294 :rule scope :premises (@p58)) % 25.22/25.42 (step @p59 :rule process_scope :premises (@p294) :args (@t42)) % 25.22/25.42 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 25.22/25.42 (step @p62 :rule implies_elim :premises (@p61)) % 25.22/25.42 (step @p63 :rule chain_m_resolution :premises (@p62 @p48) :args (@t49 @t50 @t51)) % 25.22/25.42 (step @p64 :rule symm :premises (@p14)) % 25.22/25.42 (step @p65 :rule false_intro :premises (@p64)) % 25.22/25.42 (step @p66 :rule instantiate :premises (@p6) :args ((@list @t28 @t29))) % 25.22/25.42 (step @p67 :rule refl :args (@t28)) % 25.22/25.42 (step @p68 :rule cong :premises (@p67 @p66) :args (@t44)) % 25.22/25.42 (step @p69 :rule trans :premises (@p68 @p65)) % 25.22/25.42 (step @p70 :rule false_elim :premises (@p69)) % 25.22/25.42 (step @p71 :rule symm :premises (@p42)) % 25.22/25.42 (step @p72 :rule refl :args (@t29)) % 25.22/25.42 (step @p73 :rule symm :premises (@p19)) % 25.22/25.42 (step @p74 :rule cong :premises (@p73 @p72) :args (@t53)) % 25.22/25.42 (step @p75 :rule symm :premises (@p30)) % 25.22/25.42 (step @p76 :rule symm :premises (@p28)) % 25.22/25.42 (step @p77 :rule trans :premises (@p76 @p23)) % 25.22/25.42 (step @p78 :rule refl :args (tptp.b)) % 25.22/25.42 (step @p79 :rule cong :premises (@p78 @p77) :args (@t55)) % 25.22/25.42 (step @p80 :rule cong :premises (@p78 @p13) :args (@t56)) % 25.22/25.42 (step @p81 :rule trans :premises (@p27 @p80)) % 25.22/25.42 (step @p82 :rule cong :premises (@p81 @p67) :args (@t34)) % 25.22/25.42 (step @p83 :rule trans :premises (@p82 @p31 @p79 @p75 @p74 @p29)) % 25.22/25.42 (step @p84 :rule cong :premises (@p72 @p83) :args (@t57)) % 25.22/25.42 (step @p85 :rule cong :premises (@p73 @p67) :args ((tptp.join @t52 @t28))) % 25.22/25.42 (step @p86 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.b @t28))) % 25.22/25.42 (step @p87 :rule symm :premises (@p86)) % 25.22/25.42 (step @p88 :rule instantiate :premises (@p6) :args ((@list tptp.b @t28))) % 25.22/25.42 (step @p89 :rule symm :premises (@p88)) % 25.22/25.42 (step @p90 :rule cong :premises (@p78 @p89) :args ((tptp.join tptp.b (tptp.join @t28 tptp.b)))) % 25.22/25.42 (step @p91 :rule instantiate :premises (@p8) :args ((@list tptp.b @t28 tptp.b))) % 25.22/25.42 (step @p92 :rule symm :premises (@p82)) % 25.22/25.42 (step @p93 :rule symm :premises (@p31)) % 25.22/25.42 (step @p94 :rule symm :premises (@p79)) % 25.22/25.42 (step @p95 :rule symm :premises (@p74)) % 25.22/25.42 (step @p96 :rule trans :premises (@p76 @p23 @p95 @p30 @p94 @p93 @p92)) % 25.22/25.42 (step @p97 :rule cong :premises (@p96 @p78) :args ((tptp.join @t54 tptp.b))) % 25.22/25.42 (step @p98 :rule instantiate :premises (@p8) :args ((@list tptp.a @t28 tptp.b))) % 25.22/25.42 (step @p99 :rule symm :premises (@p98)) % 25.22/25.42 (step @p100 :rule refl :args (tptp.a)) % 25.22/25.42 (step @p101 :rule cong :premises (@p100 @p88) :args (@t58)) % 25.22/25.42 (step @p102 :rule trans :premises (@p101 @p99 @p97 @p91 @p90 @p87 @p85)) % 25.22/25.42 (step @p103 :rule cong :premises (@p72 @p102) :args (@t59)) % 25.22/25.42 (step @p104 :rule trans :premises (@p103 @p84 @p71)) % 25.22/25.42 (step @p105 :rule cong :premises (@p67 @p104) :args (@t60)) % 25.22/25.42 (step @p106 :rule cong :premises (@p100 @p105) :args ((tptp.meet tptp.a @t60))) % 25.22/25.42 (step @p107 :rule instantiate :premises (@p12) :args ((@list tptp.a @t28 @t29 @t34))) % 25.22/25.42 (step @p108 :rule symm :premises (@p107)) % 25.22/25.42 (step @p109 :rule symm :premises (@p84)) % 25.22/25.42 (step @p110 :rule trans :premises (@p42 @p109)) % 25.22/25.42 (step @p111 :rule instantiate :premises (@p5) :args ((@list tptp.a @t29))) % 25.22/25.42 (step @p112 :rule symm :premises (@p111)) % 25.22/25.42 (step @p113 :rule cong :premises (@p72 @p13) :args ((tptp.meet @t29 @t27))) % 25.22/25.42 (step @p114 :rule instantiate :premises (@p7) :args ((@list @t29 tptp.b tptp.a))) % 25.22/25.42 (step @p115 :rule instantiate :premises (@p5) :args (@t32)) % 25.22/25.42 (step @p116 :rule cong :premises (@p115 @p100) :args ((tptp.meet @t61 tptp.a))) % 25.22/25.42 (step @p117 :rule instantiate :premises (@p5) :args ((@list @t61 tptp.a))) % 25.22/25.42 (step @p118 :rule symm :premises (@p117)) % 25.22/25.42 (step @p119 :rule eq-symm :args (@t20 tptp.zero)) % 25.22/25.42 (step @p120 :rule cong :premises (@p119) :args (@t21)) % 25.22/25.42 (step @p121 :rule eq_resolve :premises (@p10 @p120)) % 25.22/25.42 (step @p122 :rule instantiate :premises (@p121) :args (@t30)) % 25.22/25.42 (step @p123 :rule instantiate :premises (@p121) :args (@t31)) % 25.22/25.42 (step @p124 :rule symm :premises (@p123)) % 25.22/25.42 (step @p125 :rule trans :premises (@p124 @p122)) % 25.22/25.42 (step @p126 :rule cong :premises (@p100 @p125) :args ((tptp.meet tptp.a @t62))) % 25.22/25.42 (step @p127 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.a @t28))) % 25.22/25.42 (step @p128 :rule instantiate :premises (@p35) :args (@t31)) % 25.22/25.42 (step @p129 :rule cong :premises (@p128 @p67) :args (@t62)) % 25.22/25.42 (step @p130 :rule symm :premises (@p122)) % 25.22/25.42 (step @p131 :rule trans :premises (@p130 @p123 @p129 @p127 @p126 @p118 @p116 @p114 @p113 @p112)) % 25.22/25.42 (step @p132 :rule cong :premises (@p67 @p131) :args ((tptp.join @t28 @t61))) % 25.22/25.42 (step @p133 :rule instantiate :premises (@p35) :args ((@list @t61))) % 25.22/25.42 (step @p134 :rule symm :premises (@p133)) % 25.22/25.42 (step @p135 :rule instantiate :premises (@p26) :args ((@list @t61 @t34))) % 25.22/25.42 (step @p136 :rule symm :premises (@p135)) % 25.22/25.42 (step @p137 :rule instantiate :premises (@p5) :args ((@list @t34 @t61))) % 25.22/25.42 (step @p138 :rule instantiate :premises (@p121) :args (@t35)) % 25.22/25.42 (step @p139 :rule symm :premises (@p138)) % 25.22/25.42 (step @p140 :rule trans :premises (@p139 @p122)) % 25.22/25.42 (step @p141 :rule refl :args (@t34)) % 25.22/25.42 (step @p142 :rule cong :premises (@p141 @p140) :args ((tptp.meet @t34 @t64))) % 25.22/25.42 (step @p143 :rule instantiate :premises (@p7) :args ((@list @t34 @t34 @t63))) % 25.22/25.42 (step @p144 :rule refl :args (@t63)) % 25.22/25.42 (step @p145 :rule cong :premises (@p36 @p144) :args (@t64)) % 25.22/25.42 (step @p146 :rule trans :premises (@p130 @p138 @p145 @p143 @p142 @p137)) % 25.22/25.42 (step @p147 :rule refl :args (@t61)) % 25.22/25.42 (step @p148 :rule cong :premises (@p147 @p146) :args (@t65)) % 25.22/25.42 (step @p149 :rule trans :premises (@p148 @p136)) % 25.22/25.42 (step @p150 :rule instantiate :premises (@p121) :args ((@list @t28))) % 25.22/25.42 (step @p151 :rule symm :premises (@p150)) % 25.22/25.42 (step @p152 :rule trans :premises (@p151 @p122)) % 25.22/25.42 (step @p153 :rule cong :premises (@p152 @p149) :args ((tptp.meet (tptp.meet @t28 @t66) @t65))) % 25.22/25.42 (step @p154 :rule instantiate :premises (@p7) :args ((@list @t28 @t66 @t65))) % 25.22/25.42 (step @p155 :rule symm :premises (@p154)) % 25.22/25.42 (step @p156 :rule symm :premises (@p149)) % 25.22/25.42 (step @p157 :rule refl :args (@t67)) % 25.22/25.42 (step @p158 :rule eq-symm :args (@t68 tptp.one)) % 25.22/25.42 (step @p159 :rule cong :premises (@p158) :args (@t69)) % 25.22/25.42 (step @p160 :rule eq-symm :args (@t70 tptp.zero)) % 25.22/25.42 (step @p161 :rule cong :premises (@p160) :args (@t71)) % 25.22/25.42 (step @p162 :rule nary_cong :premises (@p161 @p159 @p157) :args (@t72)) % 25.22/25.42 (step @p163 :rule cong :premises (@p55 @p162) :args ((=> @t43 @t72))) % 25.22/25.42 (assume-push @p295 @t43) % 25.22/25.42 (step @p165 :rule instantiate :premises (@p48) :args ((@list @t28 tptp.a))) % 25.22/25.42 (step-pop @p296 :rule scope :premises (@p165)) % 25.22/25.42 (step @p166 :rule process_scope :premises (@p296) :args (@t72)) % 25.22/25.42 (step @p168 :rule eq_resolve :premises (@p166 @p163)) % 25.22/25.42 (step @p169 :rule implies_elim :premises (@p168)) % 25.22/25.42 (step @p170 :rule chain_m_resolution :premises (@p169 @p48) :args (@t77 @t50 @t51)) % 25.22/25.42 (step @p171 :rule instantiate :premises (@p6) :args (@t78)) % 25.22/25.42 (step @p172 :rule trans :premises (@p28 @p171)) % 25.22/25.42 (step @p173 :rule instantiate :premises (@p5) :args (@t78)) % 25.22/25.42 (step @p174 :rule trans :premises (@p123 @p173)) % 25.22/25.42 (step @p175 :rule cnf_or_pos :args (@t77)) % 25.22/25.42 (step @p176 :rule reordering :premises (@p175) :args ((or @t67 @t76 @t74 (not @t77)))) % 25.22/25.42 (step @p177 :rule chain_m_resolution :premises (@p176 @p174 @p172 @p170) :args (@t67 (@list false false false) (@list @t75 @t73 @t77))) % 25.22/25.42 (step @p178 :rule cong :premises (@p177 @p156) :args ((tptp.meet tptp.a @t61))) % 25.22/25.42 (step @p179 :rule trans :premises (@p130 @p123 @p129 @p127 @p126 @p178)) % 25.22/25.42 (step @p180 :rule cong :premises (@p67 @p179) :args (@t79)) % 25.22/25.42 (step @p181 :rule trans :premises (@p180 @p155 @p153 @p134)) % 25.22/25.42 (step @p182 :rule cong :premises (@p67 @p181) :args ((tptp.join @t28 @t79))) % 25.22/25.42 (step @p183 :rule instantiate :premises (@p26) :args ((@list @t28 @t61))) % 25.22/25.42 (step @p184 :rule trans :premises (@p183 @p182 @p132)) % 25.22/25.42 (step @p185 :rule cong :premises (@p100 @p184) :args (@t62)) % 25.22/25.42 (step @p186 :rule trans :premises (@p130 @p123 @p185)) % 25.22/25.42 (step @p187 :rule cong :premises (@p186 @p110) :args ((tptp.join @t61 @t29))) % 25.22/25.42 (step @p188 :rule instantiate :premises (@p6) :args ((@list @t61 @t29))) % 25.22/25.42 (step @p189 :rule symm :premises (@p188)) % 25.22/25.42 (step @p190 :rule symm :premises (@p115)) % 25.22/25.42 (step @p191 :rule cong :premises (@p190 @p149) :args ((tptp.meet (tptp.meet @t29 tptp.b) @t65))) % 25.22/25.42 (step @p192 :rule instantiate :premises (@p7) :args ((@list @t29 tptp.b @t65))) % 25.22/25.42 (step @p193 :rule symm :premises (@p192)) % 25.22/25.42 (step @p194 :rule cong :premises (@p78 @p156) :args ((tptp.meet tptp.b @t61))) % 25.22/25.42 (step @p195 :rule instantiate :premises (@p7) :args (@t33)) % 25.22/25.42 (step @p196 :rule instantiate :premises (@p35) :args (@t30)) % 25.22/25.42 (step @p197 :rule cong :premises (@p196 @p72) :args (@t61)) % 25.22/25.42 (step @p198 :rule trans :premises (@p197 @p195 @p194)) % 25.22/25.42 (step @p199 :rule cong :premises (@p72 @p198) :args (@t80)) % 25.22/25.42 (step @p200 :rule trans :premises (@p199 @p193 @p191 @p134)) % 25.22/25.42 (step @p201 :rule cong :premises (@p72 @p200) :args ((tptp.join @t29 @t80))) % 25.22/25.42 (step @p202 :rule instantiate :premises (@p26) :args ((@list @t29 @t61))) % 25.22/25.42 (step @p203 :rule trans :premises (@p202 @p201 @p189 @p187)) % 25.22/25.42 (step @p204 :rule cong :premises (@p100 @p203) :args ((tptp.meet tptp.a @t29))) % 25.22/25.42 (step @p205 :rule trans :premises (@p123 @p129 @p127 @p126 @p118 @p116 @p114 @p113 @p112 @p204 @p108 @p106)) % 25.22/25.42 (step @p206 :rule cnf_or_pos :args (@t49)) % 25.22/25.42 (step @p207 :rule reordering :premises (@p206) :args ((or @t48 @t46 @t44 (not @t49)))) % 25.22/25.42 (step @p208 :rule chain_m_resolution :premises (@p207 @p205 @p70 @p63) :args (@t46 (@list false true false) (@list @t47 @t44 @t49))) % 25.22/25.42 (step @p209 :rule instantiate :premises (@p8) :args ((@list tptp.a @t28 @t81))) % 25.22/25.42 (step @p210 :rule refl :args (@t86)) % 25.22/25.42 (step @p211 :rule bool-double-not-elim :args (@t45)) % 25.22/25.42 (step @p212 :rule refl :args (@t89)) % 25.22/25.42 (step @p213 :rule refl :args (@t91)) % 25.22/25.42 (step @p214 :rule refl :args (@t93)) % 25.22/25.42 (step @p215 :rule refl :args (@t96)) % 25.22/25.42 (step @p216 :rule refl :args (@t99)) % 25.22/25.42 (step @p217 :rule refl :args (@t101)) % 25.22/25.42 (step @p218 :rule refl :args (@t104)) % 25.22/25.42 (step @p219 :rule refl :args (@t106)) % 25.22/25.42 (step @p220 :rule refl :args (@t108)) % 25.22/25.42 (step @p221 :rule refl :args (@t110)) % 25.22/25.42 (step @p222 :rule refl :args (@t112)) % 25.22/25.42 (step @p223 :rule refl :args (@t114)) % 25.22/25.42 (step @p224 :rule refl :args (@t116)) % 25.22/25.42 (step @p225 :rule nary_cong :premises (@p224 @p223 @p222 @p221 @p220 @p219 @p218 @p217 @p216 @p215 @p214 @p213 @p212 @p211 @p210) :args ((or @t116 @t114 @t112 @t110 @t108 @t106 @t104 @t101 @t99 @t96 @t93 @t91 @t89 (not @t46) @t86))) % 25.22/25.42 (assume-push @p297 @t85) % 25.22/25.42 (assume-push @p298 @t86) % 25.22/25.42 (step @p228 :rule evaluate :args ((= false true))) % 25.22/25.42 (step @p229 :rule true_intro :premises (@p209)) % 25.22/25.42 (step @p230 :rule false_intro :premises (@p208)) % 25.22/25.42 (step @p231 :rule trans :premises (@p38 @p84 @p71)) % 25.22/25.42 (step @p232 :rule cong :premises (@p67 @p231) :args (@t82)) % 25.22/25.42 (step @p233 :rule cong :premises (@p100 @p232) :args (@t83)) % 25.22/25.42 (step @p234 :rule symm :premises (@p23)) % 25.22/25.42 (step @p235 :rule symm :premises (@p37)) % 25.22/25.42 (step @p236 :rule refl :args (@t81)) % 25.22/25.42 (step @p237 :rule symm :premises (@p36)) % 25.22/25.42 (step @p238 :rule symm :premises (@p32)) % 25.22/25.42 (step @p239 :rule cong :premises (@p141 @p238) :args (@t117)) % 25.22/25.42 (step @p240 :rule trans :premises (@p239 @p237)) % 25.22/25.42 (step @p241 :rule cong :premises (@p240 @p236) :args (@t118)) % 25.22/25.42 (step @p242 :rule symm :premises (@p240)) % 25.22/25.42 (step @p243 :rule trans :premises (@p96 @p242)) % 25.22/25.42 (step @p244 :rule cong :premises (@p243 @p236) :args (@t84)) % 25.22/25.42 (step @p245 :rule trans :premises (@p244 @p241 @p235 @p82 @p31 @p79 @p75 @p74 @p234)) % 25.22/25.42 (step @p246 :rule cong :premises (@p245 @p233) :args (@t85)) % 25.22/25.42 (step @p247 :rule trans :premises (@p246 @p230)) % 25.22/25.42 (step @p248 :rule symm :premises (@p247)) % 25.22/25.42 (step @p249 :rule trans :premises (@p248 @p229)) % 25.22/25.42 (step @p250 false :rule eq_resolve :premises (@p249 @p228)) % 25.22/25.42 (step-pop @p299 :rule scope :premises (@p250)) % 25.22/25.42 (step-pop @p300 :rule scope :premises (@p299)) % 25.22/25.42 (step @p251 :rule process_scope :premises (@p300) :args (false)) % 25.22/25.42 (assume-push @p301 @t115) % 25.22/25.42 (assume-push @p302 @t113) % 25.22/25.42 (assume-push @p303 @t111) % 25.22/25.42 (assume-push @p304 @t109) % 25.22/25.42 (assume-push @p305 @t107) % 25.22/25.42 (assume-push @p306 @t105) % 25.22/25.42 (assume-push @p307 @t103) % 25.22/25.42 (assume-push @p308 @t100) % 25.22/25.42 (assume-push @p309 @t98) % 25.22/25.42 (assume-push @p310 @t95) % 25.22/25.42 (assume-push @p311 @t92) % 25.22/25.42 (assume-push @p312 @t90) % 25.22/25.42 (assume-push @p313 @t88) % 25.22/25.42 (assume-push @p314 @t46) % 25.22/25.42 (assume-push @p315 @t85) % 25.22/25.42 (step @p230 :rule false_intro :premises (@p208)) % 25.22/25.42 (step @p231 :rule trans :premises (@p38 @p84 @p71)) % 25.22/25.42 (step @p232 :rule cong :premises (@p67 @p231) :args (@t82)) % 25.22/25.42 (step @p233 :rule cong :premises (@p100 @p232) :args (@t83)) % 25.22/25.42 (step @p234 :rule symm :premises (@p23)) % 25.22/25.42 (step @p235 :rule symm :premises (@p37)) % 25.22/25.42 (step @p236 :rule refl :args (@t81)) % 25.22/25.42 (step @p237 :rule symm :premises (@p36)) % 25.22/25.42 (step @p238 :rule symm :premises (@p32)) % 25.22/25.42 (step @p239 :rule cong :premises (@p141 @p238) :args (@t117)) % 25.22/25.42 (step @p240 :rule trans :premises (@p239 @p237)) % 25.22/25.42 (step @p241 :rule cong :premises (@p240 @p236) :args (@t118)) % 25.22/25.42 (step @p242 :rule symm :premises (@p240)) % 25.22/25.42 (step @p243 :rule trans :premises (@p96 @p242)) % 25.22/25.42 (step @p244 :rule cong :premises (@p243 @p236) :args (@t84)) % 25.22/25.42 (step @p245 :rule trans :premises (@p244 @p241 @p235 @p82 @p31 @p79 @p75 @p74 @p234)) % 25.22/25.42 (step @p246 :rule cong :premises (@p245 @p233) :args (@t85)) % 25.22/25.42 (step @p269 :rule trans :premises (@p246 @p230)) % 25.22/25.42 (step @p270 :rule false_elim :premises (@p269)) % 25.22/25.42 (step @p271 :rule and_intro :premises (@p209 @p270)) % 25.22/25.42 (step-pop @p316 :rule scope :premises (@p271)) % 25.22/25.42 (step-pop @p317 :rule scope :premises (@p316)) % 25.22/25.42 (step-pop @p318 :rule scope :premises (@p317)) % 25.22/25.42 (step-pop @p319 :rule scope :premises (@p318)) % 25.22/25.42 (step-pop @p320 :rule scope :premises (@p319)) % 25.22/25.42 (step-pop @p321 :rule scope :premises (@p320)) % 25.22/25.42 (step-pop @p322 :rule scope :premises (@p321)) % 25.22/25.42 (step-pop @p323 :rule scope :premises (@p322)) % 25.22/25.42 (step-pop @p324 :rule scope :premises (@p323)) % 25.22/25.42 (step-pop @p325 :rule scope :premises (@p324)) % 25.22/25.42 (step-pop @p326 :rule scope :premises (@p325)) % 25.22/25.42 (step-pop @p327 :rule scope :premises (@p326)) % 25.22/25.42 (step-pop @p328 :rule scope :premises (@p327)) % 25.22/25.42 (step-pop @p329 :rule scope :premises (@p328)) % 25.22/25.42 (step-pop @p330 :rule scope :premises (@p329)) % 25.22/25.42 (step @p272 :rule process_scope :premises (@p330) :args (@t119)) % 25.22/25.42 (step @p288 :rule implies_elim :premises (@p272)) % 25.22/25.42 (step @p289 :rule resolution :premises (@p288 @p251) :args (true @t119)) % 25.22/25.42 (step @p290 :rule not_and :premises (@p289)) % 25.22/25.42 (step @p291 :rule eq_resolve :premises (@p290 @p225)) % 25.22/25.42 (step @p292 false :rule chain_m_resolution :premises (@p291 @p209 @p208 @p42 @p38 @p37 @p36 @p32 @p31 @p30 @p29 @p28 @p27 @p23 @p19 @p15) :args (false (@list false true false false false false false false false false false false false false false) (@list @t85 @t45 @t88 @t90 @t92 @t95 @t98 @t100 @t103 @t105 @t107 @t109 @t111 @t113 @t115))) % 25.22/25.42 ) % 25.22/25.42 % SZS output end Proof % 25.22/25.42 % cvc5 exiting %------------------------------------------------------------------------------