%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT056^1 : TPTP v9.2.1. Released v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:14:26 AM UTC 2026 % Result : Theorem 0.16s 0.38s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : DAT056^1 : TPTP v9.2.1. Released v5.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Mon Jun 1 22:27:18 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.33 %----Proving TH0 % 0.16/0.38 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.16/0.38 % SZS status Theorem % 0.16/0.38 % SZS output start Proof % 0.16/0.38 ( % 0.16/0.38 (declare-sort tptp.a 0) % 0.16/0.38 (declare-sort tptp.lst 0) % 0.16/0.38 (declare-const tptp.xs tptp.lst) % 0.16/0.38 (declare-const tptp.nl tptp.lst) % 0.16/0.38 (declare-const tptp.cns (-> tptp.a tptp.lst tptp.lst)) % 0.16/0.38 (declare-const tptp.ap (-> tptp.lst tptp.lst tptp.lst)) % 0.16/0.38 (define @t1 () (@var "Zs2" tptp.lst)) % 0.16/0.38 (define @t2 () (@var "Ys3" tptp.lst)) % 0.16/0.38 (define @t3 () (@var "Lst" tptp.lst)) % 0.16/0.38 (define @t4 () (_ tptp.ap @t3)) % 0.16/0.38 (define @t5 () (_ @t4 @t2)) % 0.16/0.38 (define @t6 () (_ (_ tptp.ap @t5) @t1)) % 0.16/0.38 (define @t7 () (_ (_ tptp.ap @t2) @t1)) % 0.16/0.38 (define @t8 () (_ @t4 @t7)) % 0.16/0.38 (define @t9 () (= @t8 @t6)) % 0.16/0.38 (define @t10 () (@list @t2 @t1)) % 0.16/0.38 (define @t11 () (forall @t10 @t9)) % 0.16/0.38 (define @t12 () (@var "Zs" tptp.lst)) % 0.16/0.38 (define @t13 () (@var "Ys" tptp.lst)) % 0.16/0.38 (define @t14 () (@var "Lst2" tptp.lst)) % 0.16/0.38 (define @t15 () (@var "A" tptp.a)) % 0.16/0.38 (define @t16 () (_ (_ tptp.cns @t15) @t14)) % 0.16/0.38 (define @t17 () (_ tptp.ap @t16)) % 0.16/0.38 (define @t18 () (_ @t17 @t13)) % 0.16/0.38 (define @t19 () (_ (_ tptp.ap @t18) @t12)) % 0.16/0.38 (define @t20 () (_ (_ tptp.ap @t13) @t12)) % 0.16/0.38 (define @t21 () (_ @t17 @t20)) % 0.16/0.38 (define @t22 () (= @t21 @t19)) % 0.16/0.38 (define @t23 () (@list @t13 @t12)) % 0.16/0.38 (define @t24 () (forall @t23 @t22)) % 0.16/0.38 (define @t25 () (_ tptp.ap @t14)) % 0.16/0.38 (define @t26 () (_ @t25 @t2)) % 0.16/0.38 (define @t27 () (_ (_ tptp.ap @t26) @t1)) % 0.16/0.38 (define @t28 () (_ @t25 @t7)) % 0.16/0.38 (define @t29 () (= @t28 @t27)) % 0.16/0.38 (define @t30 () (forall @t10 @t29)) % 0.16/0.38 (define @t31 () (=> @t30 @t24)) % 0.16/0.38 (define @t32 () (@list @t15 @t14)) % 0.16/0.38 (define @t33 () (forall @t32 @t31)) % 0.16/0.38 (define @t34 () (=> @t33 @t11)) % 0.16/0.38 (define @t35 () (_ tptp.ap tptp.nl)) % 0.16/0.38 (define @t36 () (_ @t35 @t13)) % 0.16/0.38 (define @t37 () (_ (_ tptp.ap @t36) @t12)) % 0.16/0.38 (define @t38 () (_ @t35 @t20)) % 0.16/0.38 (define @t39 () (= @t38 @t37)) % 0.16/0.38 (define @t40 () (forall @t23 @t39)) % 0.16/0.38 (define @t41 () (=> @t40 @t34)) % 0.16/0.38 (define @t42 () (@list @t3)) % 0.16/0.38 (define @t43 () (forall @t42 @t41)) % 0.16/0.38 (define @t44 () (@var "Ys2" tptp.lst)) % 0.16/0.38 (define @t45 () (@var "Xs" tptp.lst)) % 0.16/0.38 (define @t46 () (_ (_ tptp.ap @t45) @t44)) % 0.16/0.38 (define @t47 () (@var "X" tptp.a)) % 0.16/0.38 (define @t48 () (_ tptp.cns @t47)) % 0.16/0.38 (define @t49 () (_ @t48 @t46)) % 0.16/0.38 (define @t50 () (_ @t48 @t45)) % 0.16/0.38 (define @t51 () (_ (_ tptp.ap @t50) @t44)) % 0.16/0.38 (define @t52 () (= @t51 @t49)) % 0.16/0.38 (define @t53 () (forall (@list @t44 @t45 @t47) @t52)) % 0.16/0.38 (define @t54 () (_ @t35 @t44)) % 0.16/0.38 (define @t55 () (@list @t44)) % 0.16/0.38 (define @t56 () (forall @t55 (= @t54 @t44))) % 0.16/0.38 (define @t57 () (_ tptp.ap tptp.xs)) % 0.16/0.38 (define @t58 () (_ @t57 @t13)) % 0.16/0.38 (define @t59 () (_ (_ tptp.ap @t58) @t12)) % 0.16/0.38 (define @t60 () (_ @t57 @t20)) % 0.16/0.38 (define @t61 () (= @t60 @t59)) % 0.16/0.38 (define @t62 () (forall @t23 @t61)) % 0.16/0.38 (define @t63 () (not @t62)) % 0.16/0.38 (define @t64 () (tptp.ap tptp.xs @t13)) % 0.16/0.38 (define @t65 () (tptp.ap @t64 @t12)) % 0.16/0.38 (define @t66 () (tptp.ap @t13 @t12)) % 0.16/0.38 (define @t67 () (tptp.ap tptp.xs @t66)) % 0.16/0.38 (define @t68 () (@var "BOUND_VARIABLE_7526" tptp.lst)) % 0.16/0.38 (define @t69 () (@var "BOUND_VARIABLE_7524" tptp.lst)) % 0.16/0.38 (define @t70 () (tptp.cns @t15 @t14)) % 0.16/0.38 (define @t71 () (= (tptp.ap @t70 (tptp.ap @t69 @t68)) (tptp.ap (tptp.ap @t70 @t69) @t68))) % 0.16/0.38 (define @t72 () (tptp.ap @t14 @t2)) % 0.16/0.38 (define @t73 () (tptp.ap @t72 @t1)) % 0.16/0.38 (define @t74 () (tptp.ap @t2 @t1)) % 0.16/0.38 (define @t75 () (tptp.ap @t14 @t74)) % 0.16/0.38 (define @t76 () (forall @t10 (= @t75 @t73))) % 0.16/0.38 (define @t77 () (not @t76)) % 0.16/0.38 (define @t78 () (or @t77 @t71)) % 0.16/0.38 (define @t79 () (forall (@list @t15 @t14 @t69 @t68) @t78)) % 0.16/0.38 (define @t80 () (@quantifiers_skolemize @t79 1)) % 0.16/0.38 (define @t81 () (forall @t10 (= (tptp.ap @t80 @t74) (tptp.ap (tptp.ap @t80 @t2) @t1)))) % 0.16/0.38 (define @t82 () (@quantifiers_skolemize @t79 3)) % 0.16/0.38 (define @t83 () (@quantifiers_skolemize @t79 2)) % 0.16/0.38 (define @t84 () (@quantifiers_skolemize @t79 0)) % 0.16/0.38 (define @t85 () (tptp.cns @t84 @t80)) % 0.16/0.38 (define @t86 () (tptp.ap @t85 @t83)) % 0.16/0.38 (define @t87 () (tptp.ap @t83 @t82)) % 0.16/0.38 (define @t88 () (tptp.ap @t85 @t87)) % 0.16/0.38 (define @t89 () (= @t88 (tptp.ap @t86 @t82))) % 0.16/0.38 (define @t90 () (not @t81)) % 0.16/0.38 (define @t91 () (or @t90 @t89)) % 0.16/0.38 (define @t92 () (tptp.ap @t80 @t83)) % 0.16/0.38 (define @t93 () (tptp.ap @t92 @t82)) % 0.16/0.38 (define @t94 () (tptp.ap @t80 @t87)) % 0.16/0.38 (define @t95 () (= @t94 @t93)) % 0.16/0.38 (define @t96 () (tptp.ap @t45 @t44)) % 0.16/0.38 (define @t97 () (tptp.cns @t47 @t96)) % 0.16/0.38 (define @t98 () (tptp.cns @t47 @t45)) % 0.16/0.38 (define @t99 () (tptp.ap @t98 @t44)) % 0.16/0.38 (define @t100 () (tptp.cns @t84 @t92)) % 0.16/0.38 (define @t101 () (= @t86 @t100)) % 0.16/0.38 (define @t102 () (tptp.cns @t84 @t94)) % 0.16/0.38 (define @t103 () (= @t88 @t102)) % 0.16/0.38 (define @t104 () (tptp.ap @t100 @t82)) % 0.16/0.38 (define @t105 () (= @t104 (tptp.cns @t84 @t93))) % 0.16/0.38 (define @t106 () (and @t101 @t103 @t105 @t95)) % 0.16/0.38 (define @t107 () (not @t91)) % 0.16/0.38 (define @t108 () (not @t79)) % 0.16/0.38 (define @t109 () (@list false)) % 0.16/0.38 (define @t110 () (tptp.ap tptp.nl @t13)) % 0.16/0.38 (define @t111 () (tptp.ap @t110 @t12)) % 0.16/0.38 (define @t112 () (tptp.ap tptp.nl @t66)) % 0.16/0.38 (define @t113 () (forall @t23 (= @t112 @t111))) % 0.16/0.38 (define @t114 () (@quantifiers_skolemize @t113 1)) % 0.16/0.38 (define @t115 () (tptp.ap tptp.nl @t44)) % 0.16/0.38 (define @t116 () (= @t44 @t54)) % 0.16/0.38 (define @t117 () (@quantifiers_skolemize @t113 0)) % 0.16/0.38 (define @t118 () (tptp.ap @t117 @t114)) % 0.16/0.38 (define @t119 () (= (tptp.ap tptp.nl @t118) (tptp.ap (tptp.ap tptp.nl @t117) @t114))) % 0.16/0.38 (define @t120 () (not @t119)) % 0.16/0.38 (define @t121 () (not @t113)) % 0.16/0.38 (define @t122 () (tptp.ap @t3 @t2)) % 0.16/0.38 (define @t123 () (tptp.ap @t122 @t1)) % 0.16/0.38 (define @t124 () (tptp.ap @t3 @t74)) % 0.16/0.38 (define @t125 () (= @t124 @t123)) % 0.16/0.38 (define @t126 () (forall (@list @t3 @t2 @t1) @t125)) % 0.16/0.38 (define @t127 () (forall @t10 @t125)) % 0.16/0.38 (define @t128 () (forall @t42 @t127)) % 0.16/0.38 (define @t129 () (or @t121 @t108 @t128)) % 0.16/0.38 (define @t130 () (or @t121 @t108 @t127)) % 0.16/0.38 (define @t131 () (=> @t79 @t127)) % 0.16/0.38 (define @t132 () (@list @t69 @t68)) % 0.16/0.38 (define @t133 () (forall @t132 @t78)) % 0.16/0.38 (define @t134 () (forall @t132 @t71)) % 0.16/0.38 (define @t135 () (or @t77 @t134)) % 0.16/0.38 (define @t136 () (tptp.ap @t70 @t13)) % 0.16/0.38 (define @t137 () (tptp.ap @t136 @t12)) % 0.16/0.38 (define @t138 () (tptp.ap @t70 @t66)) % 0.16/0.38 (define @t139 () (forall @t23 (= @t138 @t137))) % 0.16/0.38 (define @t140 () (_ tptp.ap @t70)) % 0.16/0.38 (define @t141 () (forall @t23 (= @t67 @t65))) % 0.16/0.38 (define @t142 () (@quantifiers_skolemize @t141 1)) % 0.16/0.38 (define @t143 () (@quantifiers_skolemize @t141 0)) % 0.16/0.38 (define @t144 () (= (tptp.ap tptp.xs (tptp.ap @t143 @t142)) (tptp.ap (tptp.ap tptp.xs @t143) @t142))) % 0.16/0.38 (assume @p1 @t43) % 0.16/0.38 (assume @p2 @t53) % 0.16/0.38 (assume @p3 @t56) % 0.16/0.38 (assume @p4 @t63) % 0.16/0.38 (assume @p5 true) % 0.16/0.38 (step @p6 :rule refl :args ((tptp.ap @t58 @t12))) % 0.16/0.38 (step @p7 :rule refl :args (@t12)) % 0.16/0.38 (step @p8 :rule refl :args (@t64)) % 0.16/0.38 (step @p9 :rule cong :premises (@p8 @p7) :args (@t65)) % 0.16/0.38 (step @p10 :rule trans :premises (@p9 @p6)) % 0.16/0.38 (step @p11 :rule refl :args (tptp.ap)) % 0.16/0.38 (step @p12 :rule ho_cong :premises (@p11 @p8)) % 0.16/0.38 (step @p13 :rule ho_cong :premises (@p12 @p7)) % 0.16/0.38 (step @p14 :rule cong :premises (@p13 @p10) :args ((= (_ (_ tptp.ap @t64) @t12) @t65))) % 0.16/0.38 (step @p15 :rule symm :premises (@p14)) % 0.16/0.38 (step @p16 :rule refl :args (@t59)) % 0.16/0.38 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.16/0.38 (step @p18 :rule refl :args (@t58)) % 0.16/0.38 (step @p19 :rule cong :premises (@p18 @p8) :args ((= @t58 @t64))) % 0.16/0.38 (step @p20 :rule symm :premises (@p19)) % 0.16/0.38 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.16/0.38 (step @p22 :rule ho_cong :premises (@p11 @p21)) % 0.16/0.38 (step @p23 :rule ho_cong :premises (@p22 @p7)) % 0.16/0.38 (step @p24 :rule trans :premises (@p23 @p17)) % 0.16/0.38 (step @p25 :rule refl :args ((tptp.ap tptp.xs @t20))) % 0.16/0.38 (step @p26 :rule refl :args (@t66)) % 0.16/0.38 (step @p27 :rule refl :args (tptp.xs)) % 0.16/0.38 (step @p28 :rule cong :premises (@p27 @p26) :args (@t67)) % 0.16/0.38 (step @p29 :rule trans :premises (@p28 @p25)) % 0.16/0.38 (step @p30 :rule refl :args (@t57)) % 0.16/0.38 (step @p31 :rule ho_cong :premises (@p30 @p26)) % 0.16/0.38 (step @p32 :rule cong :premises (@p31 @p29) :args ((= (_ @t57 @t66) @t67))) % 0.16/0.38 (step @p33 :rule symm :premises (@p32)) % 0.16/0.38 (step @p34 :rule refl :args (@t60)) % 0.16/0.38 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 0.16/0.38 (step @p36 :rule refl :args (@t20)) % 0.16/0.38 (step @p37 :rule cong :premises (@p36 @p26) :args ((= @t20 @t66))) % 0.16/0.38 (step @p38 :rule symm :premises (@p37)) % 0.16/0.38 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.16/0.38 (step @p40 :rule ho_cong :premises (@p30 @p39)) % 0.16/0.38 (step @p41 :rule trans :premises (@p40 @p35)) % 0.16/0.38 (step @p42 :rule cong :premises (@p41 @p24) :args (@t61)) % 0.16/0.38 (step @p43 :rule cong :premises (@p42) :args (@t62)) % 0.16/0.38 (step @p44 :rule cong :premises (@p43) :args (@t63)) % 0.16/0.38 (step @p45 :rule eq_resolve :premises (@p4 @p44)) % 0.16/0.38 (step @p46 :rule skolemize :premises (@p45)) % 0.16/0.38 (step @p47 :rule bool-double-not-elim :args (@t81)) % 0.16/0.38 (step @p48 :rule refl :args (@t91)) % 0.16/0.38 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t91 (not @t90)))) % 0.16/0.38 (step @p50 :rule cnf_or_neg :args (@t91 0)) % 0.16/0.38 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.16/0.38 (step @p52 :rule reordering :premises (@p51) :args ((or @t81 @t91))) % 0.16/0.38 (step @p53 :rule cnf_or_neg :args (@t91 1)) % 0.16/0.38 (assume-push @p352 @t81) % 0.16/0.38 (step @p55 :rule instantiate :premises (@p352) :args ((@list @t83 @t82))) % 0.16/0.38 (step-pop @p353 :rule scope :premises (@p55)) % 0.16/0.38 (step @p56 :rule process_scope :premises (@p353) :args (@t95)) % 0.16/0.38 (step @p58 :rule implies_elim :premises (@p56)) % 0.16/0.38 (step @p59 :rule refl :args ((tptp.cns @t47 @t46))) % 0.16/0.38 (step @p60 :rule refl :args (@t96)) % 0.16/0.38 (step @p61 :rule refl :args (@t47)) % 0.16/0.38 (step @p62 :rule cong :premises (@p61 @p60) :args (@t97)) % 0.16/0.38 (step @p63 :rule trans :premises (@p62 @p59)) % 0.16/0.38 (step @p64 :rule refl :args (@t48)) % 0.16/0.38 (step @p65 :rule ho_cong :premises (@p64 @p60)) % 0.16/0.38 (step @p66 :rule cong :premises (@p65 @p63) :args ((= (_ @t48 @t96) @t97))) % 0.16/0.38 (step @p67 :rule symm :premises (@p66)) % 0.16/0.38 (step @p68 :rule refl :args (@t49)) % 0.16/0.38 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.16/0.38 (step @p70 :rule refl :args (@t46)) % 0.16/0.38 (step @p71 :rule cong :premises (@p70 @p60) :args ((= @t46 @t96))) % 0.16/0.38 (step @p72 :rule symm :premises (@p71)) % 0.16/0.38 (step @p73 :rule eq_resolve :premises (@p70 @p72)) % 0.16/0.38 (step @p74 :rule ho_cong :premises (@p64 @p73)) % 0.16/0.38 (step @p75 :rule trans :premises (@p74 @p69)) % 0.16/0.38 (step @p76 :rule refl :args ((tptp.ap @t50 @t44))) % 0.16/0.38 (step @p77 :rule refl :args (@t44)) % 0.16/0.38 (step @p78 :rule refl :args (@t98)) % 0.16/0.38 (step @p79 :rule cong :premises (@p78 @p77) :args (@t99)) % 0.16/0.38 (step @p80 :rule trans :premises (@p79 @p76)) % 0.16/0.38 (step @p81 :rule ho_cong :premises (@p11 @p78)) % 0.16/0.38 (step @p82 :rule ho_cong :premises (@p81 @p77)) % 0.16/0.38 (step @p83 :rule cong :premises (@p82 @p80) :args ((= (_ (_ tptp.ap @t98) @t44) @t99))) % 0.16/0.38 (step @p84 :rule symm :premises (@p83)) % 0.16/0.38 (step @p85 :rule refl :args (@t51)) % 0.16/0.38 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.16/0.38 (step @p87 :rule refl :args (@t50)) % 0.16/0.38 (step @p88 :rule cong :premises (@p87 @p78) :args ((= @t50 @t98))) % 0.16/0.38 (step @p89 :rule symm :premises (@p88)) % 0.16/0.38 (step @p90 :rule eq_resolve :premises (@p87 @p89)) % 0.16/0.38 (step @p91 :rule ho_cong :premises (@p11 @p90)) % 0.16/0.38 (step @p92 :rule ho_cong :premises (@p91 @p77)) % 0.16/0.38 (step @p93 :rule trans :premises (@p92 @p86)) % 0.16/0.38 (step @p94 :rule cong :premises (@p93 @p75) :args (@t52)) % 0.16/0.38 (step @p95 :rule cong :premises (@p94) :args (@t53)) % 0.16/0.38 (step @p96 :rule eq_resolve :premises (@p2 @p95)) % 0.16/0.38 (step @p97 :rule instantiate :premises (@p96) :args ((@list @t83 @t80 @t84))) % 0.16/0.38 (step @p98 :rule instantiate :premises (@p96) :args ((@list @t87 @t80 @t84))) % 0.16/0.38 (step @p99 :rule instantiate :premises (@p96) :args ((@list @t82 @t92 @t84))) % 0.16/0.38 (assume-push @p354 @t101) % 0.16/0.38 (assume-push @p355 @t103) % 0.16/0.38 (assume-push @p356 @t105) % 0.16/0.38 (assume-push @p357 @t95) % 0.16/0.38 (assume-push @p358 @t101) % 0.16/0.38 (assume-push @p359 @t105) % 0.16/0.38 (assume-push @p360 @t95) % 0.16/0.38 (assume-push @p361 @t103) % 0.16/0.38 (step @p108 :rule refl :args (@t82)) % 0.16/0.38 (step @p109 :rule symm :premises (@p97)) % 0.16/0.38 (step @p110 :rule cong :premises (@p109 @p108) :args (@t104)) % 0.16/0.38 (step @p111 :rule symm :premises (@p99)) % 0.16/0.38 (step @p112 :rule refl :args (@t84)) % 0.16/0.38 (step @p113 :rule cong :premises (@p112 @p357) :args (@t102)) % 0.16/0.38 (step @p114 :rule trans :premises (@p98 @p113 @p111 @p110)) % 0.16/0.38 (step-pop @p362 :rule scope :premises (@p114)) % 0.16/0.38 (step-pop @p363 :rule scope :premises (@p362)) % 0.16/0.38 (step-pop @p364 :rule scope :premises (@p363)) % 0.16/0.38 (step-pop @p365 :rule scope :premises (@p364)) % 0.16/0.38 (step @p115 :rule process_scope :premises (@p365) :args (@t89)) % 0.16/0.38 (step @p120 :rule and_intro :premises (@p97 @p99 @p357 @p98)) % 0.16/0.38 (step @p121 :rule modus_ponens :premises (@p120 @p115)) % 0.16/0.38 (step-pop @p366 :rule scope :premises (@p121)) % 0.16/0.38 (step-pop @p367 :rule scope :premises (@p366)) % 0.16/0.38 (step-pop @p368 :rule scope :premises (@p367)) % 0.16/0.38 (step-pop @p369 :rule scope :premises (@p368)) % 0.16/0.38 (step @p122 :rule process_scope :premises (@p369) :args (@t89)) % 0.16/0.38 (step @p127 :rule implies_elim :premises (@p122)) % 0.16/0.38 (step @p128 :rule cnf_and_neg :args (@t106)) % 0.16/0.38 (step @p129 :rule resolution :premises (@p128 @p127) :args (true @t106)) % 0.16/0.38 (step @p130 :rule reordering :premises (@p129) :args ((or @t89 (not @t101) (not @t103) (not @t105) (not @t95)))) % 0.16/0.38 (step @p131 :rule chain_m_resolution :premises (@p130 @p99 @p98 @p97 @p58 @p53 @p52) :args (@t91 (@list false false false false true false) (@list @t105 @t103 @t101 @t95 @t89 @t81))) % 0.16/0.38 (step @p132 :rule refl :args (@t107)) % 0.16/0.38 (step @p133 :rule bool-double-not-elim :args (@t79)) % 0.16/0.38 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or (not @t108) @t107))) % 0.16/0.38 (assume-push @p370 @t108) % 0.16/0.38 (step @p136 :rule skolemize :premises (@p370)) % 0.16/0.38 (step-pop @p371 :rule scope :premises (@p136)) % 0.16/0.38 (step @p137 :rule process_scope :premises (@p371) :args (@t107)) % 0.16/0.38 (step @p139 :rule implies_elim :premises (@p137)) % 0.16/0.38 (step @p140 :rule eq_resolve 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cong :premises (@p154 @p142) :args (@t118)) % 0.16/0.38 (step @p156 :rule instantiate :premises (@p153) :args ((@list @t118))) % 0.16/0.38 (step @p157 :rule symm :premises (@p156)) % 0.16/0.38 (step @p158 :rule trans :premises (@p157 @p155)) % 0.16/0.38 (step @p159 :rule refl :args (@t120)) % 0.16/0.38 (step @p160 :rule bool-double-not-elim :args (@t113)) % 0.16/0.38 (step @p161 :rule nary_cong :premises (@p160 @p159) :args ((or (not @t121) @t120))) % 0.16/0.38 (assume-push @p372 @t121) % 0.16/0.38 (step @p163 :rule skolemize :premises (@p372)) % 0.16/0.38 (step-pop @p373 :rule scope :premises (@p163)) % 0.16/0.38 (step @p164 :rule process_scope :premises (@p373) :args (@t120)) % 0.16/0.38 (step @p166 :rule implies_elim :premises (@p164)) % 0.16/0.38 (step @p167 :rule eq_resolve :premises (@p166 @p161)) % 0.16/0.38 (step @p168 :rule chain_m_resolution :premises (@p167 @p158) :args (@t113 @t109 (@list @t119))) % 0.16/0.38 (step @p169 :rule quant-merge-prenex :args ((= @t128 @t126))) % 0.16/0.38 (step @p170 :rule refl :args (@t108)) % 0.16/0.38 (step @p171 :rule refl :args (@t121)) % 0.16/0.38 (step @p172 :rule nary_cong :premises (@p171 @p170 @p169) :args (@t129)) % 0.16/0.38 (step @p173 :rule quant-miniscope-or :args ((= (forall @t42 @t130) @t129))) % 0.16/0.38 (step @p174 :rule trans :premises (@p173 @p172)) % 0.16/0.38 (step @p175 :rule aci_norm :args ((= (or @t121 (or @t108 @t127)) @t130))) % 0.16/0.38 (step @p176 :rule bool-impl-elim :args (@t79 @t127)) % 0.16/0.38 (step @p177 :rule refl :args (@t121)) % 0.16/0.38 (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((or @t121 @t131))) % 0.16/0.38 (step @p179 :rule trans :premises (@p178 @p175)) % 0.16/0.38 (step @p180 :rule bool-impl-elim :args (@t113 @t131)) % 0.16/0.38 (step @p181 :rule trans :premises (@p180 @p179)) % 0.16/0.38 (step @p182 :rule cong :premises (@p181) :args ((forall @t42 (=> @t113 @t131)))) % 0.16/0.38 (step @p183 :rule trans :premises (@p182 @p174)) % 0.16/0.38 (step @p184 :rule refl 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@p215)) % 0.16/0.38 (step @p217 :rule ho_cong :premises (@p207 @p216)) % 0.16/0.38 (step @p218 :rule trans :premises (@p217 @p212)) % 0.16/0.38 (step @p219 :rule cong :premises (@p218 @p201) :args (@t9)) % 0.16/0.38 (step @p220 :rule cong :premises (@p219) :args (@t11)) % 0.16/0.38 (step @p221 :rule quant-merge-prenex :args ((= (forall @t32 @t133) @t79))) % 0.16/0.38 (step @p222 :rule alpha_equiv :args (@t134 (@list @t69 @t68) (@list @t13 @t12))) % 0.16/0.38 (step @p223 :rule refl :args (@t77)) % 0.16/0.38 (step @p224 :rule nary_cong :premises (@p223 @p222) :args (@t135)) % 0.16/0.38 (step @p225 :rule quant-miniscope-or :args ((= @t133 @t135))) % 0.16/0.38 (step @p226 :rule trans :premises (@p225 @p224)) % 0.16/0.38 (step @p227 :rule symm :premises (@p226)) % 0.16/0.38 (step @p228 :rule cong :premises (@p227) :args ((forall @t32 (or @t77 @t139)))) % 0.16/0.38 (step @p229 :rule trans :premises (@p228 @p221)) % 0.16/0.38 (step @p230 :rule bool-impl-elim :args (@t76 @t139)) % 0.16/0.38 (step @p231 :rule cong :premises (@p230) :args ((forall @t32 (=> @t76 @t139)))) % 0.16/0.38 (step @p232 :rule trans :premises (@p231 @p229)) % 0.16/0.38 (step @p233 :rule refl :args ((tptp.ap @t18 @t12))) % 0.16/0.38 (step @p234 :rule refl :args ((tptp.ap @t16 @t13))) % 0.16/0.38 (step @p235 :rule refl :args (@t13)) % 0.16/0.38 (step @p236 :rule refl :args (@t70)) % 0.16/0.38 (step @p237 :rule cong :premises (@p236 @p235) :args (@t136)) % 0.16/0.38 (step @p238 :rule trans :premises (@p237 @p234)) % 0.16/0.38 (step @p239 :rule cong :premises (@p238 @p7) :args (@t137)) % 0.16/0.38 (step @p240 :rule trans :premises (@p239 @p233)) % 0.16/0.38 (step @p241 :rule ho_cong :premises (@p11 @p238)) % 0.16/0.38 (step @p242 :rule ho_cong :premises (@p241 @p7)) % 0.16/0.38 (step @p243 :rule cong :premises (@p242 @p240) :args ((= (_ (_ tptp.ap @t136) @t12) @t137))) % 0.16/0.38 (step @p244 :rule symm :premises (@p243)) % 0.16/0.38 (step @p245 :rule refl :args (@t19)) % 0.16/0.38 (step @p246 :rule 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@p262 :rule trans :premises (@p261 @p246)) % 0.16/0.38 (step @p263 :rule refl :args ((tptp.ap @t16 @t20))) % 0.16/0.38 (step @p264 :rule cong :premises (@p236 @p26) :args (@t138)) % 0.16/0.38 (step @p265 :rule trans :premises (@p264 @p263)) % 0.16/0.38 (step @p266 :rule ho_cong :premises (@p247 @p26)) % 0.16/0.38 (step @p267 :rule cong :premises (@p266 @p265) :args ((= (_ @t140 @t66) @t138))) % 0.16/0.38 (step @p268 :rule symm :premises (@p267)) % 0.16/0.38 (step @p269 :rule refl :args (@t21)) % 0.16/0.38 (step @p270 :rule eq_resolve :premises (@p269 @p268)) % 0.16/0.38 (step @p271 :rule ho_cong :premises (@p257 @p39)) % 0.16/0.38 (step @p272 :rule trans :premises (@p271 @p270)) % 0.16/0.38 (step @p273 :rule cong :premises (@p272 @p262) :args (@t22)) % 0.16/0.38 (step @p274 :rule cong :premises (@p273) :args (@t24)) % 0.16/0.38 (step @p275 :rule refl :args ((tptp.ap @t26 @t1))) % 0.16/0.38 (step @p276 :rule refl :args (@t72)) % 0.16/0.38 (step @p277 :rule cong :premises (@p276 @p185) :args (@t73)) % 0.16/0.38 (step @p278 :rule trans :premises (@p277 @p275)) % 0.16/0.38 (step @p279 :rule ho_cong :premises (@p11 @p276)) % 0.16/0.38 (step @p280 :rule ho_cong :premises (@p279 @p185)) % 0.16/0.38 (step @p281 :rule cong :premises (@p280 @p278) :args ((= (_ (_ tptp.ap @t72) @t1) @t73))) % 0.16/0.38 (step @p282 :rule symm :premises (@p281)) % 0.16/0.38 (step @p283 :rule refl :args (@t27)) % 0.16/0.38 (step @p284 :rule eq_resolve :premises (@p283 @p282)) % 0.16/0.38 (step @p285 :rule refl :args (@t26)) % 0.16/0.38 (step @p286 :rule cong :premises (@p285 @p276) :args ((= @t26 @t72))) % 0.16/0.38 (step @p287 :rule symm :premises (@p286)) % 0.16/0.38 (step @p288 :rule eq_resolve :premises (@p285 @p287)) % 0.16/0.38 (step @p289 :rule ho_cong :premises (@p11 @p288)) % 0.16/0.38 (step @p290 :rule ho_cong :premises (@p289 @p185)) % 0.16/0.38 (step @p291 :rule trans :premises (@p290 @p284)) % 0.16/0.38 (step @p292 :rule refl :args ((tptp.ap @t14 @t7))) % 0.16/0.38 (step @p293 :rule refl :args (@t14)) % 0.16/0.38 (step @p294 :rule cong :premises (@p293 @p203) :args (@t75)) % 0.16/0.38 (step @p295 :rule trans :premises (@p294 @p292)) % 0.16/0.38 (step @p296 :rule refl :args (@t25)) % 0.16/0.38 (step @p297 :rule ho_cong :premises (@p296 @p203)) % 0.16/0.38 (step @p298 :rule cong :premises (@p297 @p295) :args ((= (_ @t25 @t74) @t75))) % 0.16/0.38 (step @p299 :rule symm :premises (@p298)) % 0.16/0.38 (step @p300 :rule refl :args (@t28)) % 0.16/0.38 (step @p301 :rule eq_resolve :premises (@p300 @p299)) % 0.16/0.38 (step @p302 :rule ho_cong :premises (@p296 @p216)) % 0.16/0.38 (step @p303 :rule trans :premises (@p302 @p301)) % 0.16/0.38 (step @p304 :rule cong :premises (@p303 @p291) :args (@t29)) % 0.16/0.38 (step @p305 :rule cong :premises (@p304) :args (@t30)) % 0.16/0.38 (step @p306 :rule cong :premises (@p305 @p274) :args (@t31)) % 0.16/0.38 (step @p307 :rule cong :premises (@p306) :args (@t33)) % 0.16/0.38 (step @p308 :rule trans :premises (@p307 @p232)) % 0.16/0.38 (step @p309 :rule cong :premises (@p308 @p220) :args (@t34)) % 0.16/0.38 (step @p310 :rule refl :args ((tptp.ap @t36 @t12))) % 0.16/0.38 (step @p311 :rule refl :args (@t110)) % 0.16/0.38 (step @p312 :rule cong :premises (@p311 @p7) :args (@t111)) % 0.16/0.38 (step @p313 :rule trans :premises (@p312 @p310)) % 0.16/0.38 (step @p314 :rule ho_cong :premises (@p11 @p311)) % 0.16/0.38 (step @p315 :rule ho_cong :premises (@p314 @p7)) % 0.16/0.38 (step @p316 :rule cong :premises (@p315 @p313) :args ((= (_ (_ tptp.ap @t110) @t12) @t111))) % 0.16/0.38 (step @p317 :rule symm :premises (@p316)) % 0.16/0.38 (step @p318 :rule refl :args (@t37)) % 0.16/0.38 (step @p319 :rule eq_resolve :premises (@p318 @p317)) % 0.16/0.38 (step @p320 :rule refl :args (@t36)) % 0.16/0.38 (step @p321 :rule cong :premises (@p320 @p311) :args ((= @t36 @t110))) % 0.16/0.38 (step @p322 :rule symm :premises (@p321)) % 0.16/0.38 (step @p323 :rule eq_resolve :premises (@p320 @p322)) % 0.16/0.38 (step @p324 :rule ho_cong :premises (@p11 @p323)) % 0.16/0.38 (step @p325 :rule ho_cong :premises (@p324 @p7)) % 0.16/0.38 (step @p326 :rule trans :premises (@p325 @p319)) % 0.16/0.38 (step @p327 :rule refl :args ((tptp.ap tptp.nl @t20))) % 0.16/0.38 (step @p328 :rule refl :args (tptp.nl)) % 0.16/0.38 (step @p329 :rule cong :premises (@p328 @p26) :args (@t112)) % 0.16/0.38 (step @p330 :rule trans :premises (@p329 @p327)) % 0.16/0.38 (step @p331 :rule refl :args (@t35)) % 0.16/0.38 (step @p332 :rule ho_cong :premises (@p331 @p26)) % 0.16/0.38 (step @p333 :rule cong :premises (@p332 @p330) :args ((= (_ @t35 @t66) @t112))) % 0.16/0.38 (step @p334 :rule symm :premises (@p333)) % 0.16/0.38 (step @p335 :rule refl :args (@t38)) % 0.16/0.38 (step @p336 :rule eq_resolve :premises (@p335 @p334)) % 0.16/0.38 (step @p337 :rule ho_cong :premises (@p331 @p39)) % 0.16/0.38 (step @p338 :rule trans :premises (@p337 @p336)) % 0.16/0.38 (step @p339 :rule cong :premises (@p338 @p326) :args (@t39)) % 0.16/0.38 (step @p340 :rule cong :premises (@p339) :args (@t40)) % 0.16/0.38 (step @p341 :rule cong :premises (@p340 @p309) :args (@t41)) % 0.16/0.38 (step @p342 :rule cong :premises (@p341) :args (@t43)) % 0.16/0.38 (step @p343 :rule trans :premises (@p342 @p183)) % 0.16/0.38 (step @p344 :rule eq_resolve :premises (@p1 @p343)) % 0.16/0.38 (step @p345 :rule chain_m_resolution :premises (@p344 @p168 @p141) :args (@t126 (@list false false) (@list @t113 @t79))) % 0.16/0.38 (assume-push @p374 @t126) % 0.16/0.38 (step @p347 :rule instantiate :premises (@p374) :args ((@list tptp.xs @t143 @t142))) % 0.16/0.38 (step-pop @p375 :rule scope :premises (@p347)) % 0.16/0.38 (step @p348 :rule process_scope :premises (@p375) :args (@t144)) % 0.16/0.38 (step @p350 :rule implies_elim :premises (@p348)) % 0.16/0.38 (step @p351 false :rule chain_m_resolution :premises (@p350 @p345 @p46) :args (false (@list false true) (@list @t126 @t144))) % 0.16/0.38 ) % 0.16/0.38 % SZS output end Proof % 0.16/0.38 % cvc5 exiting %------------------------------------------------------------------------------