%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT234-1 : 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 : n018.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 08:29:57 AM UTC 2026 % Result : Unsatisfiable 0.87s 1.09s % Output : Proof 0.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT234-1 : 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 % 0.17/0.34 % Computer : n018.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 06:05:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.87/1.09 % SZS status Unsatisfiable % 0.87/1.09 % SZS output start Proof % 0.87/1.09 ( % 0.87/1.09 (declare-sort $$unsorted 0) % 0.87/1.09 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.87/1.09 (declare-const tptp.one $$unsorted) % 0.87/1.09 (declare-const tptp.a $$unsorted) % 0.87/1.09 (declare-const tptp.zero $$unsorted) % 0.87/1.09 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.09 (declare-const tptp.b $$unsorted) % 0.87/1.09 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.09 (define @t1 () (@var "X" $$unsorted)) % 0.87/1.09 (define @t2 () (tptp.meet @t1 @t1)) % 0.87/1.09 (define @t3 () (@list @t1)) % 0.87/1.09 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.87/1.09 (define @t5 () (tptp.join @t1 @t1)) % 0.87/1.09 (define @t6 () (forall @t3 (= @t5 @t1))) % 0.87/1.09 (define @t7 () (@var "Y" $$unsorted)) % 0.87/1.09 (define @t8 () (tptp.join @t1 @t7)) % 0.87/1.09 (define @t9 () (tptp.meet @t1 @t8)) % 0.87/1.09 (define @t10 () (@list @t1 @t7)) % 0.87/1.09 (define @t11 () (forall @t10 (= @t9 @t1))) % 0.87/1.09 (define @t12 () (tptp.meet @t1 @t7)) % 0.87/1.09 (define @t13 () (tptp.join @t1 @t12)) % 0.87/1.09 (define @t14 () (forall @t10 (= @t13 @t1))) % 0.87/1.09 (define @t15 () (@var "Z" $$unsorted)) % 0.87/1.09 (define @t16 () (@list @t1 @t7 @t15)) % 0.87/1.09 (define @t17 () (tptp.complement @t1)) % 0.87/1.09 (define @t18 () (tptp.join @t1 @t17)) % 0.87/1.09 (define @t19 () (forall @t3 (= @t18 tptp.one))) % 0.87/1.09 (define @t20 () (tptp.meet @t1 @t17)) % 0.87/1.09 (define @t21 () (forall @t3 (= @t20 tptp.zero))) % 0.87/1.09 (define @t22 () (not (= @t8 tptp.one))) % 0.87/1.09 (define @t23 () (not (= @t12 tptp.zero))) % 0.87/1.09 (define @t24 () (or @t23 @t22 (= @t17 @t7))) % 0.87/1.09 (define @t25 () (forall @t10 @t24)) % 0.87/1.09 (define @t26 () (@var "U" $$unsorted)) % 0.87/1.09 (define @t27 () (tptp.meet tptp.b tptp.a)) % 0.87/1.09 (define @t28 () (tptp.complement tptp.a)) % 0.87/1.09 (define @t29 () (tptp.complement tptp.b)) % 0.87/1.09 (define @t30 () (tptp.join @t29 @t28)) % 0.87/1.09 (define @t31 () (tptp.complement @t27)) % 0.87/1.09 (define @t32 () (= @t30 @t31)) % 0.87/1.09 (define @t33 () (= @t31 @t30)) % 0.87/1.09 (define @t34 () (tptp.join @t27 @t30)) % 0.87/1.09 (define @t35 () (not (= @t34 tptp.one))) % 0.87/1.09 (define @t36 () (tptp.meet @t27 @t30)) % 0.87/1.09 (define @t37 () (not (= @t36 tptp.zero))) % 0.87/1.09 (define @t38 () (or @t37 @t35 @t32)) % 0.87/1.09 (define @t39 () (forall @t10 (or @t23 @t22 (= @t7 @t17)))) % 0.87/1.09 (define @t40 () (@list @t27 @t30)) % 0.87/1.09 (define @t41 () (= tptp.one @t34)) % 0.87/1.09 (define @t42 () (not @t41)) % 0.87/1.09 (define @t43 () (= tptp.zero @t36)) % 0.87/1.09 (define @t44 () (not @t43)) % 0.87/1.10 (define @t45 () (or @t44 @t42 @t32)) % 0.87/1.10 (define @t46 () (@list false)) % 0.87/1.10 (define @t47 () (@list @t39)) % 0.87/1.10 (define @t48 () (@list @t29 @t28)) % 0.87/1.10 (define @t49 () (@list @t29 tptp.b)) % 0.87/1.10 (define @t50 () (@list tptp.b @t29)) % 0.87/1.10 (define @t51 () (@list tptp.b)) % 0.87/1.10 (define @t52 () (@list tptp.a)) % 0.87/1.10 (define @t53 () (tptp.join tptp.a @t28)) % 0.87/1.10 (define @t54 () (tptp.meet @t29 @t53)) % 0.87/1.10 (define @t55 () (@list @t28 tptp.a)) % 0.87/1.10 (define @t56 () (@list tptp.a @t28)) % 0.87/1.10 (define @t57 () (tptp.meet @t28 @t53)) % 0.87/1.10 (define @t58 () (tptp.meet tptp.a @t53)) % 0.87/1.10 (define @t59 () (tptp.join @t58 @t57)) % 0.87/1.10 (define @t60 () (tptp.meet @t29 @t59)) % 0.87/1.10 (define @t61 () (tptp.join @t28 @t60)) % 0.87/1.10 (define @t62 () (tptp.meet tptp.a @t54)) % 0.87/1.10 (define @t63 () (tptp.join @t28 @t62)) % 0.87/1.10 (define @t64 () (@list tptp.b tptp.a)) % 0.87/1.10 (define @t65 () (tptp.meet tptp.a @t57)) % 0.87/1.10 (define @t66 () (tptp.join tptp.b @t65)) % 0.87/1.10 (define @t67 () (tptp.meet tptp.b @t53)) % 0.87/1.10 (define @t68 () (tptp.join @t58 @t67)) % 0.87/1.10 (define @t69 () (tptp.meet tptp.a (tptp.join tptp.b (tptp.meet @t28 @t68)))) % 0.87/1.10 (define @t70 () (@list @t29)) % 0.87/1.10 (define @t71 () (tptp.complement @t29)) % 0.87/1.10 (define @t72 () (tptp.meet @t29 @t30)) % 0.87/1.10 (define @t73 () (tptp.meet @t30 @t30)) % 0.87/1.10 (define @t74 () (tptp.meet @t29 @t73)) % 0.87/1.10 (define @t75 () (tptp.join tptp.a (tptp.meet @t29 (tptp.meet @t73 @t71)))) % 0.87/1.10 (define @t76 () (tptp.meet @t27 @t53)) % 0.87/1.10 (define @t77 () (tptp.meet @t29 @t76)) % 0.87/1.10 (define @t78 () (tptp.join @t74 @t74)) % 0.87/1.10 (define @t79 () (tptp.meet @t28 @t78)) % 0.87/1.10 (define @t80 () (tptp.join @t29 @t79)) % 0.87/1.10 (define @t81 () (tptp.join @t29 (tptp.meet @t29 (tptp.meet @t30 @t28)))) % 0.87/1.10 (define @t82 () (tptp.meet @t29 @t28)) % 0.87/1.10 (define @t83 () (tptp.join @t82 @t82)) % 0.87/1.10 (define @t84 () (tptp.join @t29 (tptp.meet @t30 @t83))) % 0.87/1.10 (define @t85 () (tptp.meet @t28 @t30)) % 0.87/1.10 (define @t86 () (tptp.join @t72 @t85)) % 0.87/1.10 (define @t87 () (tptp.meet tptp.b @t29)) % 0.87/1.10 (define @t88 () (tptp.meet @t87 @t86)) % 0.87/1.10 (define @t89 () (tptp.join @t28 @t88)) % 0.87/1.10 (define @t90 () (tptp.meet @t29 (tptp.join @t28 (tptp.meet @t29 (tptp.meet @t87 @t30))))) % 0.87/1.10 (define @t91 () (tptp.join @t90 @t90)) % 0.87/1.10 (define @t92 () (tptp.meet @t30 @t91)) % 0.87/1.10 (define @t93 () (tptp.join @t28 @t29)) % 0.87/1.10 (define @t94 () (tptp.meet tptp.b @t78)) % 0.87/1.10 (define @t95 () (tptp.join tptp.b @t29)) % 0.87/1.10 (define @t96 () (tptp.meet @t28 tptp.a)) % 0.87/1.10 (define @t97 () (tptp.meet @t96 @t53)) % 0.87/1.10 (define @t98 () (tptp.meet tptp.a @t28)) % 0.87/1.10 (define @t99 () (= tptp.b @t71)) % 0.87/1.10 (define @t100 () (tptp.join @t29 tptp.b)) % 0.87/1.10 (define @t101 () (not (= @t100 tptp.one))) % 0.87/1.10 (define @t102 () (tptp.meet @t29 tptp.b)) % 0.87/1.10 (define @t103 () (not (= @t102 tptp.zero))) % 0.87/1.10 (define @t104 () (or @t103 @t101 @t99)) % 0.87/1.10 (define @t105 () (= tptp.one @t100)) % 0.87/1.10 (define @t106 () (not @t105)) % 0.87/1.10 (define @t107 () (= tptp.zero @t102)) % 0.87/1.10 (define @t108 () (not @t107)) % 0.87/1.10 (define @t109 () (or @t108 @t106 @t99)) % 0.87/1.10 (define @t110 () (tptp.meet tptp.b @t73)) % 0.87/1.10 (define @t111 () (tptp.meet @t29 @t110)) % 0.87/1.10 (define @t112 () (tptp.join @t111 @t111)) % 0.87/1.10 (define @t113 () (tptp.meet @t95 @t112)) % 0.87/1.10 (define @t114 () (tptp.join @t29 @t113)) % 0.87/1.10 (define @t115 () (tptp.meet tptp.a @t29)) % 0.87/1.10 (define @t116 () (tptp.meet @t115 (tptp.meet @t29 (tptp.join @t29 (tptp.meet @t29 (tptp.meet @t95 @t110)))))) % 0.87/1.10 (define @t117 () (tptp.meet @t29 @t68)) % 0.87/1.10 (define @t118 () (tptp.join tptp.b @t117)) % 0.87/1.10 (define @t119 () (tptp.join tptp.b @t62)) % 0.87/1.10 (define @t120 () (tptp.meet @t119 @t54)) % 0.87/1.10 (define @t121 () (tptp.join @t98 tptp.b)) % 0.87/1.10 (define @t122 () (tptp.meet @t29 @t58)) % 0.87/1.10 (define @t123 () (tptp.join tptp.b @t122)) % 0.87/1.10 (define @t124 () (@list tptp.a @t98)) % 0.87/1.10 (define @t125 () (tptp.join @t98 @t27)) % 0.87/1.10 (define @t126 () (tptp.join @t97 @t58)) % 0.87/1.10 (define @t127 () (tptp.meet @t95 @t126)) % 0.87/1.10 (define @t128 () (tptp.join tptp.a @t127)) % 0.87/1.10 (define @t129 () (tptp.join @t72 tptp.b)) % 0.87/1.10 (define @t130 () (tptp.join @t72 @t71)) % 0.87/1.10 (assume @p1 @t4) % 0.87/1.10 (assume @p2 @t6) % 0.87/1.10 (assume @p3 @t11) % 0.87/1.10 (assume @p4 @t14) % 0.87/1.10 (assume @p5 (forall @t10 (= @t12 (tptp.meet @t7 @t1)))) % 0.87/1.10 (assume @p6 (forall @t10 (= @t8 (tptp.join @t7 @t1)))) % 0.87/1.10 (assume @p7 (forall @t16 (= (tptp.meet @t12 @t15) (tptp.meet @t1 (tptp.meet @t7 @t15))))) % 0.87/1.10 (assume @p8 (forall @t16 (= (tptp.join @t8 @t15) (tptp.join @t1 (tptp.join @t7 @t15))))) % 0.87/1.10 (assume @p9 @t19) % 0.87/1.10 (assume @p10 @t21) % 0.87/1.10 (assume @p11 @t25) % 0.87/1.10 (assume @p12 (forall (@list @t1 @t7 @t15 @t26) (= (tptp.meet @t1 (tptp.join @t7 (tptp.meet @t1 (tptp.meet @t15 @t26)))) (tptp.meet @t1 (tptp.join @t7 (tptp.meet @t15 (tptp.join (tptp.meet @t1 @t26) (tptp.meet @t7 @t26)))))))) % 0.87/1.10 (assume @p13 (= @t27 tptp.a)) % 0.87/1.10 (assume @p14 (not (= @t30 @t28))) % 0.87/1.10 (step @p15 :rule bool-eq-false :args (@t32)) % 0.87/1.10 (step @p16 :rule symm :premises (@p15)) % 0.87/1.10 (step @p17 :rule eq-symm :args (@t31 @t30)) % 0.87/1.10 (step @p18 :rule cong :premises (@p17) :args ((not @t33))) % 0.87/1.10 (step @p19 :rule bool-eq-false :args (@t33)) % 0.87/1.10 (step @p20 :rule trans :premises (@p19 @p18)) % 0.87/1.10 (step @p21 :rule trans :premises (@p20 @p16)) % 0.87/1.10 (step @p22 :rule symm :premises (@p14)) % 0.87/1.10 (step @p23 :rule false_intro :premises (@p22)) % 0.87/1.10 (step @p24 :rule refl :args (@t30)) % 0.87/1.10 (step @p25 :rule cong :premises (@p13) :args (@t31)) % 0.87/1.10 (step @p26 :rule cong :premises (@p25 @p24) :args (@t33)) % 0.87/1.10 (step @p27 :rule trans :premises (@p26 @p23)) % 0.87/1.10 (step @p28 :rule eq_resolve :premises (@p27 @p21)) % 0.87/1.10 (step @p29 :rule false_elim :premises (@p28)) % 0.87/1.10 (step @p30 :rule eq-symm :args (@t17 @t7)) % 0.87/1.10 (step @p31 :rule refl :args (@t22)) % 0.87/1.10 (step @p32 :rule refl :args (@t23)) % 0.87/1.10 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30) :args (@t24)) % 0.87/1.10 (step @p34 :rule cong :premises (@p33) :args (@t25)) % 0.87/1.10 (step @p35 :rule eq_resolve :premises (@p11 @p34)) % 0.87/1.10 (step @p36 :rule refl :args (@t32)) % 0.87/1.10 (step @p37 :rule eq-symm :args (@t34 tptp.one)) % 0.87/1.10 (step @p38 :rule cong :premises (@p37) :args (@t35)) % 0.87/1.10 (step @p39 :rule eq-symm :args (@t36 tptp.zero)) % 0.87/1.10 (step @p40 :rule cong :premises (@p39) :args (@t37)) % 0.87/1.10 (step @p41 :rule nary_cong :premises (@p40 @p38 @p36) :args (@t38)) % 0.87/1.10 (step @p42 :rule refl :args (@t39)) % 0.87/1.10 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t39 @t38))) % 0.87/1.10 (assume-push @p393 @t39) % 0.87/1.10 (step @p45 :rule instantiate :premises (@p35) :args (@t40)) % 0.87/1.10 (step-pop @p394 :rule scope :premises (@p45)) % 0.87/1.10 (step @p46 :rule process_scope :premises (@p394) :args (@t38)) % 0.87/1.10 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 0.87/1.10 (step @p49 :rule implies_elim :premises (@p48)) % 0.87/1.10 (step @p50 :rule chain_m_resolution :premises (@p49 @p35) :args (@t45 @t46 @t47)) % 0.87/1.10 (step @p51 :rule instantiate :premises (@p6) :args (@t48)) % 0.87/1.10 (step @p52 :rule symm :premises (@p51)) % 0.87/1.10 (step @p53 :rule eq-symm :args (@t9 @t1)) % 0.87/1.10 (step @p54 :rule cong :premises (@p53) :args (@t11)) % 0.87/1.10 (step @p55 :rule eq_resolve :premises (@p3 @p54)) % 0.87/1.10 (step @p56 :rule instantiate :premises (@p55) :args (@t49)) % 0.87/1.10 (step @p57 :rule symm :premises (@p56)) % 0.87/1.10 (step @p58 :rule instantiate :premises (@p6) :args (@t50)) % 0.87/1.10 (step @p59 :rule eq-symm :args (@t18 tptp.one)) % 0.87/1.10 (step @p60 :rule cong :premises (@p59) :args (@t19)) % 0.87/1.10 (step @p61 :rule eq_resolve :premises (@p9 @p60)) % 0.87/1.10 (step @p62 :rule instantiate :premises (@p61) :args (@t51)) % 0.87/1.10 (step @p63 :rule instantiate :premises (@p61) :args (@t52)) % 0.87/1.10 (step @p64 :rule symm :premises (@p63)) % 0.87/1.10 (step @p65 :rule trans :premises (@p64 @p62 @p58)) % 0.87/1.10 (step @p66 :rule refl :args (@t29)) % 0.87/1.10 (step @p67 :rule cong :premises (@p66 @p65) :args (@t54)) % 0.87/1.10 (step @p68 :rule instantiate :premises (@p55) :args (@t55)) % 0.87/1.10 (step @p69 :rule symm :premises (@p68)) % 0.87/1.10 (step @p70 :rule instantiate :premises (@p6) :args (@t56)) % 0.87/1.10 (step @p71 :rule refl :args (@t28)) % 0.87/1.10 (step @p72 :rule cong :premises (@p71 @p70) :args (@t57)) % 0.87/1.10 (step @p73 :rule trans :premises (@p72 @p69)) % 0.87/1.10 (step @p74 :rule instantiate :premises (@p55) :args (@t56)) % 0.87/1.10 (step @p75 :rule symm :premises (@p74)) % 0.87/1.10 (step @p76 :rule cong :premises (@p75 @p73) :args (@t59)) % 0.87/1.10 (step @p77 :rule cong :premises (@p66 @p76) :args (@t60)) % 0.87/1.10 (step @p78 :rule trans :premises (@p77 @p67 @p57)) % 0.87/1.10 (step @p79 :rule cong :premises (@p71 @p78) :args (@t61)) % 0.87/1.10 (step @p80 :rule trans :premises (@p79 @p52)) % 0.87/1.10 (step @p81 :rule symm :premises (@p13)) % 0.87/1.10 (step @p82 :rule cong :premises (@p81 @p80) :args ((tptp.meet tptp.a @t61))) % 0.87/1.10 (step @p83 :rule instantiate :premises (@p12) :args ((@list tptp.a @t28 @t29 @t53))) % 0.87/1.10 (step @p84 :rule refl :args (@t63)) % 0.87/1.10 (step @p85 :rule instantiate :premises (@p5) :args (@t64)) % 0.87/1.10 (step @p86 :rule symm :premises (@p85)) % 0.87/1.10 (step @p87 :rule eq-symm :args (@t13 @t1)) % 0.87/1.10 (step @p88 :rule cong :premises (@p87) :args (@t14)) % 0.87/1.10 (step @p89 :rule eq_resolve :premises (@p4 @p88)) % 0.87/1.10 (step @p90 :rule instantiate :premises (@p89) :args (@t50)) % 0.87/1.10 (step @p91 :rule symm :premises (@p90)) % 0.87/1.10 (step @p92 :rule eq-symm :args (@t20 tptp.zero)) % 0.87/1.10 (step @p93 :rule cong :premises (@p92) :args (@t21)) % 0.87/1.10 (step @p94 :rule eq_resolve :premises (@p10 @p93)) % 0.87/1.10 (step @p95 :rule instantiate :premises (@p94) :args (@t51)) % 0.87/1.10 (step @p96 :rule instantiate :premises (@p94) :args (@t52)) % 0.87/1.10 (step @p97 :rule symm :premises (@p96)) % 0.87/1.10 (step @p98 :rule refl :args (tptp.a)) % 0.87/1.10 (step @p99 :rule cong :premises (@p98 @p73) :args (@t65)) % 0.87/1.10 (step @p100 :rule trans :premises (@p99 @p97 @p95)) % 0.87/1.10 (step @p101 :rule refl :args (tptp.b)) % 0.87/1.10 (step @p102 :rule cong :premises (@p101 @p100) :args (@t66)) % 0.87/1.10 (step @p103 :rule trans :premises (@p102 @p91)) % 0.87/1.10 (step @p104 :rule cong :premises (@p98 @p103) :args ((tptp.meet tptp.a @t66))) % 0.87/1.10 (step @p105 :rule instantiate :premises (@p12) :args ((@list tptp.a tptp.b @t28 @t53))) % 0.87/1.10 (step @p106 :rule symm :premises (@p105)) % 0.87/1.10 (step @p107 :rule trans :premises (@p106 @p104 @p86 @p13)) % 0.87/1.10 (step @p108 :rule cong :premises (@p107 @p84) :args ((tptp.meet @t69 @t63))) % 0.87/1.10 (step @p109 :rule instantiate :premises (@p5) :args ((@list tptp.a @t54))) % 0.87/1.10 (step @p110 :rule symm :premises (@p109)) % 0.87/1.10 (step @p111 :rule instantiate :premises (@p89) :args (@t56)) % 0.87/1.10 (step @p112 :rule symm :premises (@p111)) % 0.87/1.10 (step @p113 :rule instantiate :premises (@p94) :args (@t70)) % 0.87/1.10 (step @p114 :rule symm :premises (@p113)) % 0.87/1.10 (step @p115 :rule refl :args (@t71)) % 0.87/1.10 (step @p116 :rule instantiate :premises (@p55) :args (@t48)) % 0.87/1.10 (step @p117 :rule symm :premises (@p116)) % 0.87/1.10 (step @p118 :rule cong :premises (@p117 @p24) :args ((tptp.meet @t72 @t30))) % 0.87/1.10 (step @p119 :rule instantiate :premises (@p7) :args ((@list @t29 @t30 @t30))) % 0.87/1.10 (step @p120 :rule symm :premises (@p119)) % 0.87/1.10 (step @p121 :rule trans :premises (@p120 @p118 @p117)) % 0.87/1.10 (step @p122 :rule cong :premises (@p121 @p115) :args ((tptp.meet @t74 @t71))) % 0.87/1.10 (step @p123 :rule instantiate :premises (@p7) :args ((@list @t29 @t73 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(step @p346 :rule refl :args (@t98)) % 0.87/1.10 (step @p347 :rule cong :premises (@p346 @p13) :args (@t125)) % 0.87/1.10 (step @p348 :rule symm :premises (@p230)) % 0.87/1.10 (step @p349 :rule trans :premises (@p221 @p216 @p215 @p212)) % 0.87/1.10 (step @p350 :rule trans :premises (@p349 @p348)) % 0.87/1.10 (step @p351 :rule cong :premises (@p350 @p290) :args (@t126)) % 0.87/1.10 (step @p352 :rule trans :premises (@p351 @p347 @p345 @p112)) % 0.87/1.10 (step @p353 :rule cong :premises (@p268 @p352) :args (@t127)) % 0.87/1.10 (step @p354 :rule trans :premises (@p353 @p343 @p342 @p75 @p81)) % 0.87/1.10 (step @p355 :rule symm :premises (@p339)) % 0.87/1.10 (step @p356 :rule cong :premises (@p355 @p354) :args (@t128)) % 0.87/1.10 (step @p357 :rule trans :premises (@p356 @p340 @p336)) % 0.87/1.10 (step @p358 :rule cong :premises (@p218 @p357) :args ((tptp.meet @t96 @t128))) % 0.87/1.10 (step @p359 :rule symm :premises (@p356)) % 0.87/1.10 (step @p360 :rule symm :premises (@p340)) % 0.87/1.10 (step @p361 :rule trans :premises (@p347 @p345 @p112 @p335 @p360 @p359)) % 0.87/1.10 (step @p362 :rule cong :premises (@p172 @p361) :args ((tptp.meet @t98 @t125))) % 0.87/1.10 (step @p363 :rule instantiate :premises (@p55) :args ((@list @t98 @t27))) % 0.87/1.10 (step @p364 :rule trans :premises (@p182 @p175 @p174 @p173 @p96 @p363 @p362 @p358 @p334 @p332 @p305 @p303 @p301 @p282 @p281 @p280)) % 0.87/1.10 (step @p365 :rule cong :premises (@p71 @p364) :args (@t89)) % 0.87/1.10 (step @p366 :rule symm :premises (@p184)) % 0.87/1.10 (step @p367 :rule trans :premises (@p170 @p366 @p365 @p279 @p137)) % 0.87/1.10 (step @p368 :rule cong :premises (@p331 @p367) :args (@t98)) % 0.87/1.10 (step @p369 :rule trans :premises (@p96 @p368 @p108 @p83 @p82)) % 0.87/1.10 (step @p370 :rule instantiate :premises (@p6) :args (@t40)) % 0.87/1.10 (step @p371 :rule symm :premises (@p370)) % 0.87/1.10 (step @p372 :rule cong :premises (@p52 @p81) :args ((tptp.join @t93 tptp.a))) % 0.87/1.10 (step @p373 :rule cong :premises (@p51 @p98) :args ((tptp.join @t30 tptp.a))) % 0.87/1.10 (step @p374 :rule instantiate :premises (@p8) :args ((@list @t29 @t28 tptp.a))) % 0.87/1.10 (step @p375 :rule symm :premises (@p374)) % 0.87/1.10 (step @p376 :rule symm :premises (@p62)) % 0.87/1.10 (step @p377 :rule symm :premises (@p58)) % 0.87/1.10 (step @p378 :rule cong :premises (@p117 @p101) :args (@t129)) % 0.87/1.10 (step @p379 :rule trans :premises (@p378 @p377 @p376 @p63 @p70)) % 0.87/1.10 (step @p380 :rule cong :premises (@p66 @p379) :args ((tptp.join @t29 @t129))) % 0.87/1.10 (step @p381 :rule symm :premises (@p378)) % 0.87/1.10 (step @p382 :rule instantiate :premises (@p61) :args (@t70)) % 0.87/1.10 (step @p383 :rule symm :premises (@p382)) % 0.87/1.10 (step @p384 :rule cong :premises (@p117 @p115) :args (@t130)) % 0.87/1.10 (step @p385 :rule trans :premises (@p384 @p383 @p62 @p58 @p381)) % 0.87/1.10 (step @p386 :rule cong :premises (@p66 @p385) :args ((tptp.join @t29 @t130))) % 0.87/1.10 (step @p387 :rule instantiate :premises (@p8) :args ((@list @t29 @t72 @t71))) % 0.87/1.10 (step @p388 :rule cong :premises (@p143 @p115) :args ((tptp.join @t29 @t71))) % 0.87/1.10 (step @p389 :rule trans :premises (@p382 @p388 @p387 @p386 @p380 @p375 @p373 @p372 @p371)) % 0.87/1.10 (step @p390 :rule cnf_or_pos :args (@t45)) % 0.87/1.10 (step @p391 :rule reordering :premises (@p390) :args ((or @t32 @t44 @t42 (not @t45)))) % 0.87/1.10 (step @p392 false :rule chain_m_resolution :premises (@p391 @p389 @p369 @p50 @p29) :args (false (@list false false false true) (@list @t41 @t43 @t45 @t32))) % 0.87/1.10 ) % 0.87/1.10 % SZS output end Proof % 0.87/1.10 % cvc5 exiting %------------------------------------------------------------------------------