%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT037-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:29:39 AM UTC 2026 % Result : Unsatisfiable 0.44s 0.68s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT037-1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n015.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % 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 05:44:34 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.68 % SZS status Unsatisfiable % 0.44/0.68 % SZS output start Proof % 0.44/0.68 ( % 0.44/0.68 (declare-sort $$unsorted 0) % 0.44/0.68 (declare-const tptp.zz $$unsorted) % 0.44/0.68 (declare-const tptp.xx $$unsorted) % 0.44/0.68 (declare-const tptp.n1 $$unsorted) % 0.44/0.68 (declare-const tptp.n0 $$unsorted) % 0.44/0.68 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.yy $$unsorted) % 0.44/0.68 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (define @t1 () (@var "X" $$unsorted)) % 0.44/0.68 (define @t2 () (@list @t1)) % 0.44/0.68 (define @t3 () (@var "Y" $$unsorted)) % 0.44/0.68 (define @t4 () (tptp.join @t1 @t3)) % 0.44/0.68 (define @t5 () (tptp.meet @t1 @t4)) % 0.44/0.68 (define @t6 () (@list @t1 @t3)) % 0.44/0.68 (define @t7 () (forall @t6 (= @t5 @t1))) % 0.44/0.68 (define @t8 () (tptp.meet @t1 @t3)) % 0.44/0.68 (define @t9 () (tptp.join @t1 @t8)) % 0.44/0.68 (define @t10 () (forall @t6 (= @t9 @t1))) % 0.44/0.68 (define @t11 () (forall @t6 (= @t4 (tptp.join @t3 @t1)))) % 0.44/0.68 (define @t12 () (@var "Z" $$unsorted)) % 0.44/0.68 (define @t13 () (tptp.meet @t3 @t12)) % 0.44/0.68 (define @t14 () (@list @t1 @t3 @t12)) % 0.44/0.68 (define @t15 () (tptp.join @t3 @t12)) % 0.44/0.68 (define @t16 () (tptp.join @t1 @t13)) % 0.44/0.68 (define @t17 () (tptp.meet @t1 @t12)) % 0.44/0.68 (define @t18 () (tptp.meet @t12 @t4)) % 0.44/0.68 (define @t19 () (not (= @t17 @t1))) % 0.44/0.68 (define @t20 () (or @t19 (= @t18 @t16))) % 0.44/0.68 (define @t21 () (forall (@list @t1 @t12 @t3) @t20)) % 0.44/0.68 (define @t22 () (tptp.join tptp.xx tptp.yy)) % 0.44/0.68 (define @t23 () (tptp.join tptp.xx tptp.zz)) % 0.44/0.68 (define @t24 () (tptp.meet tptp.xx tptp.yy)) % 0.44/0.68 (define @t25 () (tptp.meet tptp.xx tptp.zz)) % 0.44/0.68 (define @t26 () (= tptp.yy tptp.zz)) % 0.44/0.68 (define @t27 () (not @t26)) % 0.44/0.68 (define @t28 () (@list tptp.xx tptp.yy)) % 0.44/0.68 (define @t29 () (@list tptp.xx tptp.zz)) % 0.44/0.68 (define @t30 () (@list tptp.yy tptp.xx)) % 0.44/0.68 (define @t31 () (@list tptp.zz tptp.xx)) % 0.44/0.68 (define @t32 () (@list @t22 tptp.zz)) % 0.44/0.68 (define @t33 () (tptp.join @t22 tptp.zz)) % 0.44/0.68 (define @t34 () (tptp.join tptp.zz @t22)) % 0.44/0.68 (define @t35 () (= @t33 @t34)) % 0.44/0.68 (define @t36 () (= @t34 @t33)) % 0.44/0.68 (define @t37 () (@list false)) % 0.44/0.68 (define @t38 () (@list @t11)) % 0.44/0.68 (define @t39 () (tptp.join tptp.yy tptp.xx)) % 0.44/0.68 (define @t40 () (tptp.join @t39 tptp.xx)) % 0.44/0.68 (define @t41 () (tptp.join tptp.xx @t39)) % 0.44/0.68 (define @t42 () (= @t40 @t41)) % 0.44/0.68 (define @t43 () (= @t41 @t40)) % 0.44/0.68 (define @t44 () (tptp.join tptp.zz tptp.xx)) % 0.44/0.68 (define @t45 () (tptp.join tptp.xx @t44)) % 0.44/0.68 (define @t46 () (tptp.meet tptp.zz tptp.xx)) % 0.44/0.68 (define @t47 () (tptp.join tptp.zz @t46)) % 0.44/0.68 (define @t48 () (tptp.join tptp.zz tptp.yy)) % 0.44/0.68 (define @t49 () (tptp.meet @t41 @t48)) % 0.44/0.68 (define @t50 () (tptp.meet tptp.yy @t41)) % 0.44/0.68 (define @t51 () (= (tptp.join tptp.zz @t50) @t49)) % 0.44/0.68 (define @t52 () (= tptp.zz (tptp.meet tptp.zz @t41))) % 0.44/0.68 (define @t53 () (not @t52)) % 0.44/0.68 (define @t54 () (or @t53 @t51)) % 0.44/0.68 (define @t55 () (@list false false)) % 0.44/0.68 (define @t56 () (tptp.meet tptp.yy @t39)) % 0.44/0.68 (define @t57 () (tptp.join tptp.yy tptp.zz)) % 0.44/0.68 (define @t58 () (tptp.meet tptp.zz @t44)) % 0.44/0.68 (define @t59 () (tptp.join tptp.yy @t58)) % 0.44/0.68 (define @t60 () (= @t59 (tptp.meet @t44 @t57))) % 0.44/0.68 (define @t61 () (= tptp.yy (tptp.meet tptp.yy @t44))) % 0.44/0.68 (define @t62 () (not @t61)) % 0.44/0.68 (define @t63 () (or @t62 @t60)) % 0.44/0.68 (define @t64 () (tptp.meet @t39 @t57)) % 0.44/0.68 (define @t65 () (tptp.join tptp.yy @t25)) % 0.44/0.68 (define @t66 () (= @t65 @t64)) % 0.44/0.68 (define @t67 () (not @t66)) % 0.44/0.68 (define @t68 () (tptp.join tptp.zz @t24)) % 0.44/0.68 (define @t69 () (= @t68 (tptp.meet @t44 @t48))) % 0.44/0.68 (define @t70 () (not @t69)) % 0.44/0.68 (define @t71 () (= @t57 @t48)) % 0.44/0.68 (define @t72 () (not @t71)) % 0.44/0.68 (define @t73 () (not @t51)) % 0.44/0.68 (define @t74 () (not @t60)) % 0.44/0.68 (define @t75 () (not @t43)) % 0.44/0.68 (define @t76 () (tptp.meet tptp.yy tptp.xx)) % 0.44/0.68 (define @t77 () (= @t50 (tptp.join @t76 @t56))) % 0.44/0.68 (define @t78 () (not @t77)) % 0.44/0.68 (define @t79 () (not @t36)) % 0.44/0.68 (define @t80 () (tptp.join @t24 tptp.yy)) % 0.44/0.68 (define @t81 () (= @t80 (tptp.join tptp.yy @t24))) % 0.44/0.68 (define @t82 () (not @t81)) % 0.44/0.68 (define @t83 () (tptp.meet tptp.zz @t22)) % 0.44/0.68 (define @t84 () (tptp.meet @t22 tptp.zz)) % 0.44/0.68 (define @t85 () (= @t84 @t83)) % 0.44/0.68 (define @t86 () (not @t85)) % 0.44/0.68 (define @t87 () (tptp.meet tptp.yy @t22)) % 0.44/0.68 (define @t88 () (tptp.meet @t22 tptp.yy)) % 0.44/0.68 (define @t89 () (= @t88 @t87)) % 0.44/0.68 (define @t90 () (not @t89)) % 0.44/0.68 (define @t91 () (tptp.join @t22 @t84)) % 0.44/0.68 (define @t92 () (= @t22 @t91)) % 0.44/0.68 (define @t93 () (not @t92)) % 0.44/0.68 (define @t94 () (tptp.meet @t22 tptp.xx)) % 0.44/0.68 (define @t95 () (= @t22 (tptp.join @t22 @t94))) % 0.44/0.68 (define @t96 () (not @t95)) % 0.44/0.68 (define @t97 () (tptp.meet tptp.xx @t22)) % 0.44/0.68 (define @t98 () (= @t97 @t94)) % 0.44/0.68 (define @t99 () (not @t98)) % 0.44/0.68 (define @t100 () (= tptp.zz @t47)) % 0.44/0.68 (define @t101 () (not @t100)) % 0.44/0.68 (define @t102 () (tptp.join tptp.yy @t76)) % 0.44/0.68 (define @t103 () (= tptp.yy @t102)) % 0.44/0.68 (define @t104 () (not @t103)) % 0.44/0.68 (define @t105 () (= tptp.zz @t58)) % 0.44/0.68 (define @t106 () (not @t105)) % 0.44/0.68 (define @t107 () (= tptp.yy @t56)) % 0.44/0.68 (define @t108 () (not @t107)) % 0.44/0.68 (define @t109 () (= @t23 @t44)) % 0.44/0.68 (define @t110 () (not @t109)) % 0.44/0.68 (define @t111 () (= @t22 @t39)) % 0.44/0.68 (define @t112 () (not @t111)) % 0.44/0.68 (define @t113 () (= @t25 @t46)) % 0.44/0.68 (define @t114 () (not @t113)) % 0.44/0.68 (define @t115 () (= @t24 @t76)) % 0.44/0.68 (define @t116 () (not @t115)) % 0.44/0.68 (define @t117 () (= tptp.xx @t97)) % 0.44/0.68 (define @t118 () (not @t117)) % 0.44/0.68 (define @t119 () (= tptp.n0 @t25)) % 0.44/0.68 (define @t120 () (not @t119)) % 0.44/0.68 (define @t121 () (= tptp.n0 @t24)) % 0.44/0.68 (define @t122 () (not @t121)) % 0.44/0.68 (define @t123 () (= tptp.n1 @t23)) % 0.44/0.68 (define @t124 () (not @t123)) % 0.44/0.68 (define @t125 () (= tptp.n1 @t22)) % 0.44/0.68 (define @t126 () (not @t125)) % 0.44/0.68 (define @t127 () (and @t27 @t125 @t123 @t121 @t119 @t117 @t115 @t113 @t111 @t109 @t107 @t105 @t103 @t100 @t98 @t95 @t92 @t89 @t85 @t81 @t36 @t77 @t43 @t60 @t51 @t71 @t69)) % 0.44/0.68 (assume @p1 (forall @t2 (= (tptp.meet @t1 @t1) @t1))) % 0.44/0.68 (assume @p2 (forall @t2 (= (tptp.join @t1 @t1) @t1))) % 0.44/0.68 (assume @p3 @t7) % 0.44/0.68 (assume @p4 @t10) % 0.44/0.68 (assume @p5 (forall @t6 (= @t8 (tptp.meet @t3 @t1)))) % 0.44/0.68 (assume @p6 @t11) % 0.44/0.68 (assume @p7 (forall @t14 (= (tptp.meet @t8 @t12) (tptp.meet @t1 @t13)))) % 0.44/0.68 (assume @p8 (forall @t14 (= (tptp.join @t4 @t12) (tptp.join @t1 @t15)))) % 0.44/0.68 (assume @p9 (forall @t14 (= @t16 (tptp.meet @t4 (tptp.join @t1 @t12))))) % 0.44/0.68 (assume @p10 (forall @t14 (= (tptp.meet @t1 @t15) (tptp.join @t8 @t17)))) % 0.44/0.68 (assume @p11 (forall @t2 (= (tptp.meet @t1 tptp.n0) tptp.n0))) % 0.44/0.68 (assume @p12 (forall @t2 (= (tptp.join @t1 tptp.n0) @t1))) % 0.44/0.68 (assume @p13 (forall @t2 (= (tptp.meet @t1 tptp.n1) @t1))) % 0.44/0.68 (assume @p14 (forall @t2 (= (tptp.join @t1 tptp.n1) tptp.n1))) % 0.44/0.68 (assume @p15 @t21) % 0.44/0.68 (assume @p16 (= @t22 tptp.n1)) % 0.44/0.68 (assume @p17 (= @t23 tptp.n1)) % 0.44/0.68 (assume @p18 (= @t24 tptp.n0)) % 0.44/0.68 (assume @p19 (= @t25 tptp.n0)) % 0.44/0.68 (assume @p20 @t27) % 0.44/0.68 (step @p21 :rule symm :premises (@p16)) % 0.44/0.68 (step @p22 :rule symm :premises (@p17)) % 0.44/0.68 (step @p23 :rule symm :premises (@p18)) % 0.44/0.68 (step @p24 :rule symm :premises (@p19)) % 0.44/0.68 (step @p25 :rule eq-symm :args (@t5 @t1)) % 0.44/0.68 (step @p26 :rule cong :premises (@p25) :args (@t7)) % 0.44/0.68 (step @p27 :rule eq_resolve :premises (@p3 @p26)) % 0.44/0.68 (step @p28 :rule instantiate :premises (@p27) :args (@t28)) % 0.44/0.68 (step @p29 :rule instantiate :premises (@p5) :args (@t28)) % 0.44/0.68 (step @p30 :rule instantiate :premises (@p5) :args (@t29)) % 0.44/0.68 (step @p31 :rule instantiate :premises (@p6) :args (@t28)) % 0.44/0.68 (step @p32 :rule instantiate :premises (@p6) :args (@t29)) % 0.44/0.68 (step @p33 :rule instantiate :premises (@p27) :args (@t30)) % 0.44/0.68 (step @p34 :rule instantiate :premises (@p27) :args (@t31)) % 0.44/0.68 (step @p35 :rule eq-symm :args (@t9 @t1)) % 0.44/0.68 (step @p36 :rule cong :premises (@p35) :args (@t10)) % 0.44/0.68 (step @p37 :rule eq_resolve :premises (@p4 @p36)) % 0.44/0.68 (step @p38 :rule instantiate :premises (@p37) :args (@t30)) % 0.44/0.68 (step @p39 :rule instantiate :premises (@p37) :args (@t31)) % 0.44/0.68 (step @p40 :rule instantiate :premises (@p5) :args ((@list tptp.xx @t22))) % 0.44/0.68 (step @p41 :rule instantiate :premises (@p37) :args ((@list @t22 tptp.xx))) % 0.44/0.68 (step @p42 :rule instantiate :premises (@p37) :args (@t32)) % 0.44/0.68 (step @p43 :rule instantiate :premises (@p5) :args ((@list @t22 tptp.yy))) % 0.44/0.68 (step @p44 :rule instantiate :premises (@p5) :args (@t32)) % 0.44/0.68 (step @p45 :rule instantiate :premises (@p6) :args ((@list @t24 tptp.yy))) % 0.44/0.68 (step @p46 :rule eq-symm :args (@t33 @t34)) % 0.44/0.68 (step @p47 :rule refl :args (@t11)) % 0.44/0.68 (step @p48 :rule cong :premises (@p47 @p46) :args ((=> @t11 @t35))) % 0.44/0.68 (assume-push @p247 @t11) % 0.44/0.68 (step @p50 :rule instantiate :premises (@p6) :args (@t32)) % 0.44/0.68 (step-pop @p248 :rule scope :premises (@p50)) % 0.44/0.68 (step @p51 :rule process_scope :premises (@p248) :args (@t35)) % 0.44/0.68 (step @p53 :rule eq_resolve :premises (@p51 @p48)) % 0.44/0.68 (step @p54 :rule implies_elim :premises (@p53)) % 0.44/0.68 (step @p55 :rule chain_m_resolution :premises (@p54 @p6) :args (@t36 @t37 @t38)) % 0.44/0.68 (step @p56 :rule instantiate :premises (@p10) :args ((@list tptp.yy tptp.xx @t39))) % 0.44/0.68 (step @p57 :rule eq-symm :args (@t40 @t41)) % 0.44/0.68 (step @p58 :rule cong :premises (@p47 @p57) :args ((=> @t11 @t42))) % 0.44/0.68 (assume-push @p249 @t11) % 0.44/0.68 (step @p60 :rule instantiate :premises (@p6) :args ((@list @t39 tptp.xx))) % 0.44/0.68 (step-pop @p250 :rule scope :premises (@p60)) % 0.44/0.68 (step @p61 :rule process_scope :premises (@p250) :args (@t42)) % 0.44/0.68 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 0.44/0.68 (step @p64 :rule implies_elim :premises (@p63)) % 0.44/0.68 (step @p65 :rule chain_m_resolution :premises (@p64 @p6) :args (@t43 @t37 @t38)) % 0.44/0.68 (step @p66 :rule eq-symm :args (@t18 @t16)) % 0.44/0.68 (step @p67 :rule eq-symm :args (@t17 @t1)) % 0.44/0.68 (step @p68 :rule cong :premises (@p67) :args (@t19)) % 0.44/0.68 (step @p69 :rule nary_cong :premises (@p68 @p66) :args (@t20)) % 0.44/0.68 (step @p70 :rule cong :premises (@p69) :args (@t21)) % 0.44/0.68 (step @p71 :rule eq_resolve :premises (@p15 @p70)) % 0.44/0.68 (step @p72 :rule instantiate :premises (@p71) :args ((@list tptp.zz @t41 tptp.yy))) % 0.44/0.68 (step @p73 :rule symm :premises (@p32)) % 0.44/0.68 (step @p74 :rule trans :premises (@p73 @p17 @p21 @p31)) % 0.44/0.68 (step @p75 :rule refl :args (tptp.xx)) % 0.44/0.68 (step @p76 :rule cong :premises (@p75 @p74) :args (@t45)) % 0.44/0.68 (step @p77 :rule refl :args (tptp.zz)) % 0.44/0.68 (step @p78 :rule cong :premises (@p77 @p76) :args ((tptp.meet tptp.zz @t45))) % 0.44/0.68 (step @p79 :rule instantiate :premises (@p10) :args ((@list tptp.zz tptp.xx @t44))) % 0.44/0.68 (step @p80 :rule symm :premises (@p79)) % 0.44/0.68 (step @p81 :rule trans :premises (@p18 @p24 @p30)) % 0.44/0.68 (step @p82 :rule cong :premises (@p81 @p34) :args ((tptp.join @t24 tptp.zz))) % 0.44/0.68 (step @p83 :rule instantiate :premises (@p6) :args ((@list @t24 tptp.zz))) % 0.44/0.68 (step @p84 :rule symm :premises (@p83)) % 0.44/0.68 (step @p85 :rule symm :premises (@p81)) % 0.44/0.68 (step @p86 :rule cong :premises (@p77 @p85) :args (@t47)) % 0.44/0.68 (step @p87 :rule trans :premises (@p39 @p86 @p84 @p82 @p80 @p78)) % 0.44/0.68 (step @p88 :rule cnf_or_pos :args (@t54)) % 0.44/0.68 (step @p89 :rule reordering :premises (@p88) :args ((or @t53 @t51 (not @t54)))) % 0.44/0.68 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p72) :args (@t51 @t55 (@list @t52 @t54))) % 0.44/0.68 (step @p91 :rule instantiate :premises (@p71) :args ((@list tptp.yy @t44 tptp.zz))) % 0.44/0.68 (step @p92 :rule symm :premises (@p31)) % 0.44/0.68 (step @p93 :rule trans :premises (@p92 @p16 @p22 @p32)) % 0.44/0.68 (step @p94 :rule refl :args (tptp.yy)) % 0.44/0.68 (step @p95 :rule cong :premises (@p94 @p93) :args (@t56)) % 0.44/0.68 (step @p96 :rule trans :premises (@p33 @p95)) % 0.44/0.68 (step @p97 :rule cnf_or_pos :args (@t63)) % 0.44/0.68 (step @p98 :rule reordering :premises (@p97) :args ((or @t62 @t60 (not @t63)))) % 0.44/0.68 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p91) :args (@t60 @t55 (@list @t61 @t63))) % 0.44/0.68 (step @p100 :rule instantiate :premises (@p6) :args ((@list tptp.yy tptp.zz))) % 0.44/0.68 (step @p101 :rule instantiate :premises (@p9) :args ((@list tptp.zz tptp.xx tptp.yy))) % 0.44/0.68 (step @p102 :rule instantiate :premises (@p9) :args ((@list tptp.yy tptp.xx tptp.zz))) % 0.44/0.68 (step @p103 :rule refl :args (@t67)) % 0.44/0.68 (step @p104 :rule refl :args (@t70)) % 0.44/0.68 (step @p105 :rule refl :args (@t72)) % 0.44/0.68 (step @p106 :rule refl :args (@t73)) % 0.44/0.68 (step @p107 :rule refl :args (@t74)) % 0.44/0.68 (step @p108 :rule refl :args (@t75)) % 0.44/0.68 (step @p109 :rule refl :args (@t78)) % 0.44/0.68 (step @p110 :rule refl :args (@t79)) % 0.44/0.68 (step @p111 :rule refl :args (@t82)) % 0.44/0.68 (step @p112 :rule refl :args (@t86)) % 0.44/0.68 (step @p113 :rule refl :args (@t90)) % 0.44/0.68 (step @p114 :rule refl :args (@t93)) % 0.44/0.68 (step @p115 :rule refl :args (@t96)) % 0.44/0.68 (step @p116 :rule refl :args (@t99)) % 0.44/0.68 (step @p117 :rule refl :args (@t101)) % 0.44/0.68 (step @p118 :rule refl :args (@t104)) % 0.44/0.68 (step @p119 :rule refl :args (@t106)) % 0.44/0.68 (step @p120 :rule refl :args (@t108)) % 0.44/0.68 (step @p121 :rule refl :args (@t110)) % 0.44/0.68 (step @p122 :rule refl :args (@t112)) % 0.44/0.68 (step @p123 :rule refl :args (@t114)) % 0.44/0.68 (step @p124 :rule refl :args (@t116)) % 0.44/0.68 (step @p125 :rule refl :args (@t118)) % 0.44/0.68 (step @p126 :rule refl :args (@t120)) % 0.44/0.68 (step @p127 :rule refl :args (@t122)) % 0.44/0.68 (step @p128 :rule refl :args (@t124)) % 0.44/0.68 (step @p129 :rule refl :args (@t126)) % 0.44/0.68 (step @p130 :rule bool-double-not-elim :args (@t26)) % 0.44/0.68 (step @p131 :rule nary_cong :premises (@p130 @p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103) :args ((or (not @t27) @t126 @t124 @t122 @t120 @t118 @t116 @t114 @t112 @t110 @t108 @t106 @t104 @t101 @t99 @t96 @t93 @t90 @t86 @t82 @t79 @t78 @t75 @t74 @t73 @t72 @t70 @t67))) % 0.44/0.68 (assume-push @p251 @t27) % 0.44/0.68 (assume-push @p252 @t125) % 0.44/0.68 (assume-push @p253 @t123) % 0.44/0.68 (assume-push @p254 @t121) % 0.44/0.68 (assume-push @p255 @t119) % 0.44/0.68 (assume-push @p256 @t117) % 0.44/0.68 (assume-push @p257 @t115) % 0.44/0.68 (assume-push @p258 @t113) % 0.44/0.68 (assume-push @p259 @t111) % 0.44/0.68 (assume-push @p260 @t109) % 0.44/0.68 (assume-push @p261 @t107) % 0.44/0.68 (assume-push @p262 @t105) % 0.44/0.68 (assume-push @p263 @t103) % 0.44/0.68 (assume-push @p264 @t100) % 0.44/0.68 (assume-push @p265 @t98) % 0.44/0.68 (assume-push @p266 @t95) % 0.44/0.68 (assume-push @p267 @t92) % 0.44/0.68 (assume-push @p268 @t89) % 0.44/0.68 (assume-push @p269 @t85) % 0.44/0.68 (assume-push @p270 @t81) % 0.44/0.68 (assume-push @p271 @t36) % 0.44/0.68 (assume-push @p272 @t77) % 0.44/0.68 (assume-push @p273 @t43) % 0.44/0.68 (assume-push @p274 @t60) % 0.44/0.68 (assume-push @p275 @t51) % 0.44/0.68 (assume-push @p276 @t71) % 0.44/0.68 (assume-push @p277 @t69) % 0.44/0.68 (step @p159 :rule false_intro :premises (@p20)) % 0.44/0.68 (step @p160 :rule symm :premises (@p33)) % 0.44/0.68 (step @p161 :rule cong :premises (@p94 @p31) :args (@t87)) % 0.44/0.68 (step @p162 :rule trans :premises (@p43 @p161 @p160)) % 0.44/0.68 (step @p163 :rule cong :premises (@p77 @p162) :args ((tptp.join tptp.zz @t88))) % 0.44/0.68 (step @p164 :rule symm :premises (@p163)) % 0.44/0.68 (step @p165 :rule symm :premises (@p34)) % 0.44/0.68 (step @p166 :rule cong :premises (@p94 @p165) :args (@t59)) % 0.44/0.68 (step @p167 :rule symm :premises (@p99)) % 0.44/0.68 (step @p168 :rule refl :args (@t57)) % 0.44/0.68 (step @p169 :rule cong :premises (@p93 @p168) :args (@t64)) % 0.44/0.68 (step @p170 :rule trans :premises (@p169 @p167 @p166 @p100 @p164)) % 0.44/0.68 (step @p171 :rule symm :premises (@p170)) % 0.44/0.68 (step @p172 :rule symm :premises (@p39)) % 0.44/0.68 (step @p173 :rule cong :premises (@p77 @p81) :args (@t68)) % 0.44/0.68 (step @p174 :rule symm :premises (@p101)) % 0.44/0.68 (step @p175 :rule refl :args (@t48)) % 0.44/0.68 (step @p176 :rule cong :premises (@p93 @p175) :args ((tptp.meet @t39 @t48))) % 0.44/0.68 (step @p177 :rule symm :premises (@p41)) % 0.44/0.68 (step @p178 :rule trans :premises (@p28 @p40)) % 0.44/0.68 (step @p179 :rule cong :premises (@p92 @p178) :args (@t40)) % 0.44/0.68 (step @p180 :rule trans :premises (@p65 @p179 @p177)) % 0.44/0.68 (step @p181 :rule trans :premises (@p180 @p31)) % 0.44/0.68 (step @p182 :rule cong :premises (@p181 @p175) :args (@t49)) % 0.44/0.68 (step @p183 :rule symm :premises (@p56)) % 0.44/0.68 (step @p184 :rule cong :premises (@p29 @p33) :args (@t80)) % 0.44/0.68 (step @p185 :rule symm :premises (@p45)) % 0.44/0.68 (step @p186 :rule symm :premises (@p29)) % 0.44/0.68 (step @p187 :rule cong :premises (@p94 @p186) :args (@t102)) % 0.44/0.68 (step @p188 :rule trans :premises (@p38 @p187 @p185 @p184 @p183)) % 0.44/0.68 (step @p189 :rule cong :premises (@p77 @p188) :args (@t48)) % 0.44/0.68 (step @p190 :rule trans :premises (@p163 @p189 @p90 @p182 @p176 @p174 @p173 @p172)) % 0.44/0.68 (step @p191 :rule symm :premises (@p190)) % 0.44/0.68 (step @p192 :rule trans :premises (@p191 @p171)) % 0.44/0.68 (step @p193 :rule symm :premises (@p192)) % 0.44/0.68 (step @p50 :rule instantiate :premises (@p6) :args (@t32)) % 0.44/0.68 (step @p194 :rule trans :premises (@p16 @p22 @p32)) % 0.44/0.68 (step @p195 :rule cong :premises (@p77 @p194) :args (@t83)) % 0.44/0.68 (step @p196 :rule trans :premises (@p44 @p195 @p165)) % 0.44/0.68 (step @p197 :rule refl :args (@t22)) % 0.44/0.68 (step @p198 :rule cong :premises (@p197 @p196) :args (@t91)) % 0.44/0.68 (step @p199 :rule trans :premises (@p92 @p42 @p198 @p50)) % 0.44/0.68 (step @p200 :rule cong :premises (@p94 @p199) :args (@t56)) % 0.44/0.68 (step @p201 :rule symm :premises (@p38)) % 0.44/0.68 (step @p202 :rule trans :premises (@p19 @p23 @p29)) % 0.44/0.68 (step @p203 :rule cong :premises (@p94 @p202) :args (@t65)) % 0.44/0.68 (step @p204 :rule trans :premises (@p203 @p201 @p33 @p200)) % 0.44/0.68 (step @p205 :rule symm :premises (@p204)) % 0.44/0.68 (step @p206 :rule symm :premises (@p200)) % 0.44/0.68 (step @p207 :rule trans :premises (@p206 @p160)) % 0.44/0.68 (step @p208 :rule symm :premises (@p207)) % 0.44/0.68 (step @p209 :rule trans :premises (@p208 @p205)) % 0.44/0.68 (step @p210 :rule symm :premises (@p209)) % 0.44/0.68 (step @p211 :rule cong :premises (@p210 @p193) :args (@t66)) % 0.44/0.68 (step @p212 :rule trans :premises (@p211 @p159)) % 0.44/0.68 (step @p213 :rule false_elim :premises (@p212)) % 0.44/0.68 (step-pop @p278 :rule scope :premises (@p213)) % 0.44/0.68 (step-pop @p279 :rule scope :premises (@p278)) % 0.44/0.68 (step-pop @p280 :rule scope :premises (@p279)) % 0.44/0.68 (step-pop @p281 :rule scope :premises (@p280)) % 0.44/0.68 (step-pop @p282 :rule scope :premises (@p281)) % 0.44/0.68 (step-pop @p283 :rule scope :premises (@p282)) % 0.44/0.68 (step-pop @p284 :rule scope :premises (@p283)) % 0.44/0.68 (step-pop @p285 :rule scope :premises (@p284)) % 0.44/0.68 (step-pop @p286 :rule scope :premises (@p285)) % 0.44/0.68 (step-pop @p287 :rule scope :premises (@p286)) % 0.44/0.68 (step-pop @p288 :rule scope :premises (@p287)) % 0.44/0.68 (step-pop @p289 :rule scope :premises (@p288)) % 0.44/0.68 (step-pop @p290 :rule scope :premises (@p289)) % 0.44/0.68 (step-pop @p291 :rule scope :premises (@p290)) % 0.44/0.68 (step-pop @p292 :rule scope :premises (@p291)) % 0.44/0.68 (step-pop @p293 :rule scope :premises (@p292)) % 0.44/0.68 (step-pop @p294 :rule scope :premises (@p293)) % 0.44/0.68 (step-pop @p295 :rule scope :premises (@p294)) % 0.44/0.68 (step-pop @p296 :rule scope :premises (@p295)) % 0.44/0.68 (step-pop @p297 :rule scope :premises (@p296)) % 0.44/0.68 (step-pop @p298 :rule scope :premises (@p297)) % 0.44/0.68 (step-pop @p299 :rule scope :premises (@p298)) % 0.44/0.68 (step-pop @p300 :rule scope :premises (@p299)) % 0.44/0.68 (step-pop @p301 :rule scope :premises (@p300)) % 0.44/0.68 (step-pop @p302 :rule scope :premises (@p301)) % 0.44/0.68 (step-pop @p303 :rule scope :premises (@p302)) % 0.44/0.68 (step-pop @p304 :rule scope :premises (@p303)) % 0.44/0.68 (step @p214 :rule process_scope :premises (@p304) :args (@t67)) % 0.44/0.68 (step @p242 :rule implies_elim :premises (@p214)) % 0.44/0.68 (step @p243 :rule cnf_and_neg :args (@t127)) % 0.44/0.68 (step @p244 :rule resolution :premises (@p243 @p242) :args (true @t127)) % 0.44/0.68 (step @p245 :rule eq_resolve :premises (@p244 @p131)) % 0.44/0.68 (step @p246 false :rule chain_m_resolution :premises (@p245 @p102 @p101 @p100 @p99 @p90 @p65 @p56 @p55 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p20 @p24 @p23 @p22 @p21) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false true false false false false) (@list @t66 @t69 @t71 @t60 @t51 @t43 @t77 @t36 @t81 @t85 @t89 @t92 @t95 @t98 @t100 @t103 @t105 @t107 @t109 @t111 @t113 @t115 @t117 @t26 @t119 @t121 @t123 @t125))) % 0.44/0.68 ) % 0.44/0.69 % SZS output end Proof % 0.44/0.69 % cvc5 exiting %------------------------------------------------------------------------------