%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET792+4 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:48:39 AM UTC 2026 % Result : Theorem 0.35s 0.58s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET792+4 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.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 16:12:17 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.58 % SZS status Theorem % 0.35/0.58 % SZS output start Proof % 0.35/0.58 ( % 0.35/0.58 (declare-sort $$unsorted 0) % 0.35/0.58 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.58 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.58 (declare-const tptp.min (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.58 (declare-const tptp.greatest (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.58 (declare-const tptp.least (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.58 (declare-const tptp.lower_bound (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.58 (declare-const tptp.upper_bound (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.58 (declare-const tptp.total_order (-> $$unsorted $$unsorted Bool)) % 0.35/0.58 (declare-const tptp.order (-> $$unsorted $$unsorted Bool)) % 0.35/0.58 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.35/0.58 (declare-const tptp.max (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.58 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.58 (define @t1 () (@var "Z" $$unsorted)) % 0.35/0.58 (define @t2 () (@var "X" $$unsorted)) % 0.35/0.58 (define @t3 () (@var "R" $$unsorted)) % 0.35/0.58 (define @t4 () (tptp.apply @t3 @t2 @t1)) % 0.35/0.58 (define @t5 () (@var "Y" $$unsorted)) % 0.35/0.58 (define @t6 () (tptp.apply @t3 @t5 @t1)) % 0.35/0.58 (define @t7 () (tptp.apply @t3 @t2 @t5)) % 0.35/0.58 (define @t8 () (and @t7 @t6)) % 0.35/0.58 (define @t9 () (=> @t8 @t4)) % 0.35/0.58 (define @t10 () (@var "E" $$unsorted)) % 0.35/0.58 (define @t11 () (tptp.member @t1 @t10)) % 0.35/0.58 (define @t12 () (tptp.member @t5 @t10)) % 0.35/0.58 (define @t13 () (tptp.member @t2 @t10)) % 0.35/0.58 (define @t14 () (and @t13 @t12 @t11)) % 0.35/0.58 (define @t15 () (@list @t2 @t5 @t1)) % 0.35/0.58 (define @t16 () (forall @t15 (=> @t14 @t9))) % 0.35/0.58 (define @t17 () (= @t2 @t5)) % 0.35/0.58 (define @t18 () (tptp.apply @t3 @t5 @t2)) % 0.35/0.58 (define @t19 () (and @t7 @t18)) % 0.35/0.58 (define @t20 () (=> @t19 @t17)) % 0.35/0.58 (define @t21 () (and @t13 @t12)) % 0.35/0.58 (define @t22 () (@list @t2 @t5)) % 0.35/0.58 (define @t23 () (forall @t22 (=> @t21 @t20))) % 0.35/0.58 (define @t24 () (tptp.apply @t3 @t2 @t2)) % 0.35/0.58 (define @t25 () (@list @t2)) % 0.35/0.58 (define @t26 () (forall @t25 (=> @t13 @t24))) % 0.35/0.58 (define @t27 () (and @t26 @t23 @t16)) % 0.35/0.58 (define @t28 () (tptp.order @t3 @t10)) % 0.35/0.58 (define @t29 () (= @t28 @t27)) % 0.35/0.58 (define @t30 () (@list @t3 @t10)) % 0.35/0.58 (define @t31 () (forall @t30 @t29)) % 0.35/0.58 (define @t32 () (@var "M" $$unsorted)) % 0.35/0.58 (define @t33 () (tptp.apply @t3 @t2 @t32)) % 0.35/0.58 (define @t34 () (forall @t25 (=> @t13 @t33))) % 0.35/0.58 (define @t35 () (@list @t3 @t10 @t32)) % 0.35/0.58 (define @t36 () (tptp.apply @t3 @t32 @t2)) % 0.35/0.58 (define @t37 () (forall @t25 (=> @t13 @t36))) % 0.35/0.58 (define @t38 () (tptp.member @t32 @t10)) % 0.35/0.58 (define @t39 () (and @t38 @t37)) % 0.35/0.58 (define @t40 () (tptp.least @t32 @t3 @t10)) % 0.35/0.58 (define @t41 () (= @t40 @t39)) % 0.35/0.58 (define @t42 () (forall @t35 @t41)) % 0.35/0.58 (define @t43 () (= @t32 @t2)) % 0.35/0.58 (define @t44 () (and @t13 @t33)) % 0.35/0.58 (define @t45 () (=> @t44 @t43)) % 0.35/0.58 (define @t46 () (forall @t25 @t45)) % 0.35/0.58 (define @t47 () (and @t38 @t46)) % 0.35/0.58 (define @t48 () (tptp.min @t32 @t3 @t10)) % 0.35/0.58 (define @t49 () (= @t48 @t47)) % 0.35/0.58 (define @t50 () (forall @t35 @t49)) % 0.35/0.58 (define @t51 () (@var "A" $$unsorted)) % 0.35/0.58 (define @t52 () (@list @t32)) % 0.35/0.58 (define @t53 () (tptp.member @t51 @t2)) % 0.35/0.58 (define @t54 () (@list @t51 @t2 @t3 @t10)) % 0.35/0.58 (define @t55 () (and @t28 @t40)) % 0.35/0.58 (define @t56 () (forall @t35 (=> @t55 @t48))) % 0.35/0.58 (define @t57 () (not @t56)) % 0.35/0.58 (define @t58 () (not @t40)) % 0.35/0.58 (define @t59 () (not @t28)) % 0.35/0.58 (define @t60 () (or @t59 @t58 @t48)) % 0.35/0.58 (define @t61 () (forall @t35 @t60)) % 0.35/0.58 (define @t62 () (@quantifiers_skolemize @t61 2)) % 0.35/0.58 (define @t63 () (@quantifiers_skolemize @t61 1)) % 0.35/0.58 (define @t64 () (@quantifiers_skolemize @t61 0)) % 0.35/0.58 (define @t65 () (@list @t64 @t63 @t62)) % 0.35/0.58 (define @t66 () (tptp.least @t62 @t64 @t63)) % 0.35/0.58 (define @t67 () (tptp.min @t62 @t64 @t63)) % 0.35/0.58 (define @t68 () (not @t66)) % 0.35/0.58 (define @t69 () (tptp.order @t64 @t63)) % 0.35/0.58 (define @t70 () (not @t69)) % 0.35/0.58 (define @t71 () (or @t70 @t68 @t67)) % 0.35/0.58 (define @t72 () (@list true)) % 0.35/0.58 (define @t73 () (@list @t71)) % 0.35/0.58 (define @t74 () (not (tptp.member @t2 @t63))) % 0.35/0.58 (define @t75 () (forall @t25 (or @t74 (tptp.apply @t64 @t62 @t2)))) % 0.35/0.58 (define @t76 () (tptp.member @t62 @t63)) % 0.35/0.58 (define @t77 () (and @t76 @t75)) % 0.35/0.58 (define @t78 () (= @t66 @t77)) % 0.35/0.58 (define @t79 () (@list false false)) % 0.35/0.58 (define @t80 () (not @t77)) % 0.35/0.58 (define @t81 () (@list false)) % 0.35/0.58 (define @t82 () (@list @t77)) % 0.35/0.58 (define @t83 () (= @t2 @t32)) % 0.35/0.58 (define @t84 () (not @t33)) % 0.35/0.58 (define @t85 () (not @t13)) % 0.35/0.58 (define @t86 () (forall @t25 (or @t74 (not (tptp.apply @t64 @t2 @t62)) (= @t2 @t62)))) % 0.35/0.58 (define @t87 () (and @t76 @t86)) % 0.35/0.58 (define @t88 () (= @t67 @t87)) % 0.35/0.58 (define @t89 () (not @t87)) % 0.35/0.58 (define @t90 () (@list true false)) % 0.35/0.58 (define @t91 () (not @t86)) % 0.35/0.58 (define @t92 () (@quantifiers_skolemize @t86 0)) % 0.35/0.58 (define @t93 () (= @t62 @t92)) % 0.35/0.58 (define @t94 () (tptp.apply @t64 @t92 @t62)) % 0.35/0.58 (define @t95 () (not @t94)) % 0.35/0.58 (define @t96 () (tptp.member @t92 @t63)) % 0.35/0.58 (define @t97 () (not @t96)) % 0.35/0.58 (define @t98 () (or @t97 @t95 @t93)) % 0.35/0.58 (define @t99 () (not @t98)) % 0.35/0.58 (define @t100 () (= @t92 @t62)) % 0.35/0.58 (define @t101 () (or @t97 @t95 @t100)) % 0.35/0.58 (define @t102 () (not @t101)) % 0.35/0.58 (define @t103 () (@list @t98)) % 0.35/0.58 (define @t104 () (not @t6)) % 0.35/0.58 (define @t105 () (not @t7)) % 0.35/0.58 (define @t106 () (not @t11)) % 0.35/0.58 (define @t107 () (not @t12)) % 0.35/0.58 (define @t108 () (or @t105 @t104 @t4)) % 0.35/0.58 (define @t109 () (or @t85 @t107 @t106)) % 0.35/0.58 (define @t110 () (not @t18)) % 0.35/0.58 (define @t111 () (or @t105 @t110 @t17)) % 0.35/0.58 (define @t112 () (not (tptp.apply @t64 @t2 @t5))) % 0.35/0.58 (define @t113 () (not (tptp.member @t5 @t63))) % 0.35/0.58 (define @t114 () (forall @t22 (or @t74 @t113 @t112 (not (tptp.apply @t64 @t5 @t2)) @t17))) % 0.35/0.58 (define @t115 () (and (forall @t25 (or @t74 (tptp.apply @t64 @t2 @t2))) @t114 (forall @t15 (or @t74 @t113 (not (tptp.member @t1 @t63)) @t112 (not (tptp.apply @t64 @t5 @t1)) (tptp.apply @t64 @t2 @t1))))) % 0.35/0.58 (define @t116 () (= @t69 @t115)) % 0.35/0.58 (define @t117 () (tptp.apply @t64 @t62 @t92)) % 0.35/0.58 (define @t118 () (not @t117)) % 0.35/0.58 (define @t119 () (not @t76)) % 0.35/0.58 (define @t120 () (or @t97 @t119 @t95 @t118 @t100)) % 0.35/0.58 (define @t121 () (or @t97 @t119 @t95 @t118 @t93)) % 0.35/0.58 (define @t122 () (or @t97 @t117)) % 0.35/0.58 (assume @p1 @t31) % 0.35/0.58 (assume @p2 (forall @t30 (= (tptp.total_order @t3 @t10) (and @t28 (forall @t22 (=> @t21 (or @t7 @t18))))))) % 0.35/0.58 (assume @p3 (forall @t35 (= (tptp.upper_bound @t32 @t3 @t10) @t34))) % 0.35/0.58 (assume @p4 (forall @t35 (= (tptp.lower_bound @t32 @t3 @t10) @t37))) % 0.35/0.58 (assume @p5 (forall @t35 (= (tptp.greatest @t32 @t3 @t10) (and @t38 @t34)))) % 0.35/0.58 (assume @p6 @t42) % 0.35/0.58 (assume @p7 (forall @t35 (= (tptp.max @t32 @t3 @t10) (and @t38 (forall @t25 (=> (and @t13 @t36) @t43)))))) % 0.35/0.58 (assume @p8 @t50) % 0.35/0.58 (assume @p9 (forall @t54 (= (tptp.least_upper_bound @t51 @t2 @t3 @t10) (and @t53 (tptp.upper_bound @t51 @t3 @t2) (forall @t52 (=> (and @t38 (tptp.upper_bound @t32 @t3 @t2)) (tptp.apply @t3 @t51 @t32))))))) % 0.35/0.58 (assume @p10 (forall @t54 (= (tptp.greatest_lower_bound @t51 @t2 @t3 @t10) (and @t53 (tptp.lower_bound @t51 @t3 @t2) (forall @t52 (=> (and @t38 (tptp.lower_bound @t32 @t3 @t2)) (tptp.apply @t3 @t32 @t51))))))) % 0.35/0.58 (assume @p11 @t57) % 0.35/0.58 (assume @p12 true) % 0.35/0.58 (step @p13 :rule bool-impl-elim :args (@t13 @t36)) % 0.35/0.58 (step @p14 :rule cong :premises (@p13) :args (@t37)) % 0.35/0.58 (step @p15 :rule refl :args (@t38)) % 0.35/0.58 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t39)) % 0.35/0.58 (step @p17 :rule refl :args (@t40)) % 0.35/0.58 (step @p18 :rule cong :premises (@p17 @p16) :args (@t41)) % 0.35/0.58 (step @p19 :rule cong :premises (@p18) :args (@t42)) % 0.35/0.58 (step @p20 :rule eq_resolve :premises (@p6 @p19)) % 0.35/0.58 (step @p21 :rule instantiate :premises (@p20) :args (@t65)) % 0.35/0.58 (step @p22 :rule aci_norm :args ((= (or (or @t59 @t58) @t48) @t60))) % 0.35/0.58 (step @p23 :rule refl :args (@t48)) % 0.35/0.58 (step @p24 :rule bool-and-de-morgan :args (@t28 @t40 true)) % 0.35/0.58 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or (not @t55) @t48))) % 0.35/0.58 (step @p26 :rule trans :premises (@p25 @p22)) % 0.35/0.58 (step @p27 :rule bool-impl-elim :args (@t55 @t48)) % 0.35/0.58 (step @p28 :rule trans :premises (@p27 @p26)) % 0.35/0.58 (step @p29 :rule cong :premises (@p28) :args (@t56)) % 0.35/0.58 (step @p30 :rule cong :premises (@p29) :args (@t57)) % 0.35/0.58 (step @p31 :rule eq_resolve :premises (@p11 @p30)) % 0.35/0.58 (step @p32 :rule skolemize :premises (@p31)) % 0.35/0.58 (step @p33 :rule bool-double-not-elim :args (@t66)) % 0.35/0.58 (step @p34 :rule refl :args (@t71)) % 0.35/0.58 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t71 (not @t68)))) % 0.35/0.58 (step @p36 :rule cnf_or_neg :args (@t71 1)) % 0.35/0.58 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.35/0.58 (step @p38 :rule reordering :premises (@p37) :args ((or @t66 @t71))) % 0.35/0.58 (step @p39 :rule chain_m_resolution :premises (@p38 @p32) :args (@t66 @t72 @t73)) % 0.35/0.58 (step @p40 :rule cnf_equiv_pos1 :args (@t78)) % 0.35/0.58 (step @p41 :rule reordering :premises (@p40) :args ((or @t68 @t77 (not @t78)))) % 0.35/0.58 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p21) :args (@t77 @t79 (@list @t66 @t78))) % 0.35/0.58 (step @p43 :rule cnf_and_pos :args (@t77 0)) % 0.35/0.58 (step @p44 :rule reordering :premises (@p43) :args ((or @t76 @t80))) % 0.35/0.58 (step @p45 :rule chain_m_resolution :premises (@p44 @p42) :args (@t76 @t81 @t82)) % 0.35/0.58 (step @p46 :rule aci_norm :args ((= (or (or @t85 @t84) @t83) (or @t85 @t84 @t83)))) % 0.35/0.58 (step @p47 :rule refl :args (@t83)) % 0.35/0.58 (step @p48 :rule bool-and-de-morgan :args (@t13 @t33 true)) % 0.35/0.58 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or (not @t44) @t83))) % 0.35/0.58 (step @p50 :rule trans :premises (@p49 @p46)) % 0.35/0.58 (step @p51 :rule bool-impl-elim :args (@t44 @t83)) % 0.35/0.58 (step @p52 :rule trans :premises (@p51 @p50)) % 0.35/0.58 (step @p53 :rule cong :premises (@p52) :args ((forall @t25 (=> @t44 @t83)))) % 0.35/0.58 (step @p54 :rule eq-symm :args (@t32 @t2)) % 0.35/0.58 (step @p55 :rule refl :args (@t44)) % 0.35/0.58 (step @p56 :rule cong :premises (@p55 @p54) :args (@t45)) % 0.35/0.58 (step @p57 :rule cong :premises (@p56) :args (@t46)) % 0.35/0.58 (step @p58 :rule trans :premises (@p57 @p53)) % 0.35/0.58 (step @p59 :rule nary_cong :premises (@p15 @p58) :args (@t47)) % 0.35/0.58 (step @p60 :rule refl :args (@t48)) % 0.35/0.58 (step @p61 :rule cong :premises (@p60 @p59) :args (@t49)) % 0.35/0.58 (step @p62 :rule cong :premises (@p61) :args (@t50)) % 0.35/0.58 (step @p63 :rule eq_resolve :premises (@p8 @p62)) % 0.35/0.58 (step @p64 :rule instantiate :premises (@p63) :args (@t65)) % 0.35/0.58 (step @p65 :rule cnf_or_neg :args (@t71 2)) % 0.35/0.58 (step @p66 :rule chain_m_resolution :premises (@p65 @p32) :args ((not @t67) @t72 @t73)) % 0.35/0.58 (step @p67 :rule cnf_equiv_pos2 :args (@t88)) % 0.35/0.58 (step @p68 :rule reordering :premises (@p67) :args ((or @t67 @t89 (not @t88)))) % 0.35/0.58 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p64) :args (@t89 @t90 (@list @t67 @t88))) % 0.35/0.58 (step @p70 :rule cnf_and_neg :args (@t87)) % 0.35/0.58 (step @p71 :rule chain_m_resolution :premises (@p70 @p69 @p45) :args (@t91 @t90 (@list @t87 @t76))) % 0.35/0.58 (step @p72 :rule refl :args (@t99)) % 0.35/0.58 (step @p73 :rule bool-double-not-elim :args (@t86)) % 0.35/0.58 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or (not @t91) @t99))) % 0.35/0.58 (step @p75 :rule eq-symm :args (@t92 @t62)) % 0.35/0.58 (step @p76 :rule refl :args (@t95)) % 0.35/0.58 (step @p77 :rule refl :args (@t97)) % 0.35/0.58 (step @p78 :rule nary_cong :premises (@p77 @p76 @p75) :args (@t101)) % 0.35/0.58 (step @p79 :rule cong :premises (@p78) :args (@t102)) % 0.35/0.58 (step @p80 :rule refl :args (@t91)) % 0.35/0.58 (step @p81 :rule cong :premises (@p80 @p79) :args ((=> @t91 @t102))) % 0.35/0.58 (assume-push @p181 @t91) % 0.35/0.58 (step @p83 :rule skolemize :premises (@p71)) % 0.35/0.58 (step-pop @p182 :rule scope :premises (@p83)) % 0.35/0.58 (step @p84 :rule process_scope :premises (@p182) :args (@t102)) % 0.35/0.58 (step @p86 :rule eq_resolve :premises (@p84 @p81)) % 0.35/0.58 (step @p87 :rule implies_elim :premises (@p86)) % 0.35/0.58 (step @p88 :rule eq_resolve :premises (@p87 @p74)) % 0.35/0.58 (step @p89 :rule chain_m_resolution :premises (@p88 @p71) :args (@t99 @t72 (@list @t86))) % 0.35/0.58 (step @p90 :rule bool-double-not-elim :args (@t96)) % 0.35/0.58 (step @p91 :rule refl :args (@t98)) % 0.35/0.58 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t98 (not @t97)))) % 0.35/0.58 (step @p93 :rule cnf_or_neg :args (@t98 0)) % 0.35/0.58 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 0.35/0.58 (step @p95 :rule reordering :premises (@p94) :args ((or @t96 @t98))) % 0.35/0.58 (step @p96 :rule chain_m_resolution :premises (@p95 @p89) :args (@t96 @t72 @t103)) % 0.35/0.58 (step @p97 :rule cnf_and_pos :args (@t77 1)) % 0.35/0.58 (step @p98 :rule reordering :premises (@p97) :args ((or @t75 @t80))) % 0.35/0.58 (step @p99 :rule chain_m_resolution :premises (@p98 @p42) :args (@t75 @t81 @t82)) % 0.35/0.58 (step @p100 :rule instantiate :premises (@p99) :args ((@list @t92))) % 0.35/0.58 (step @p101 :rule aci_norm :args ((= (or @t109 @t108) (or @t85 @t107 @t106 @t105 @t104 @t4)))) % 0.35/0.58 (step @p102 :rule aci_norm :args ((= (or (or @t105 @t104) @t4) @t108))) % 0.35/0.58 (step @p103 :rule refl :args (@t4)) % 0.35/0.58 (step @p104 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.35/0.58 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or (not @t8) @t4))) % 0.35/0.58 (step @p106 :rule trans :premises (@p105 @p102)) % 0.35/0.58 (step @p107 :rule bool-impl-elim :args (@t8 @t4)) % 0.35/0.58 (step @p108 :rule trans :premises (@p107 @p106)) % 0.35/0.58 (step @p109 :rule aci_norm :args ((= (or @t85 (or @t107 @t106)) @t109))) % 0.35/0.58 (step @p110 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.35/0.58 (step @p111 :rule refl :args (@t85)) % 0.35/0.58 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t85 (not (and @t12 @t11))))) % 0.35/0.58 (step @p113 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11))) % 0.35/0.58 (step @p114 :rule trans :premises (@p113 @p112)) % 0.35/0.58 (step @p115 :rule trans :premises (@p114 @p109)) % 0.35/0.58 (step @p116 :rule nary_cong :premises (@p115 @p108) :args ((or (not @t14) @t9))) % 0.35/0.58 (step @p117 :rule trans :premises (@p116 @p101)) % 0.35/0.58 (step @p118 :rule bool-impl-elim :args (@t14 @t9)) % 0.35/0.58 (step @p119 :rule trans :premises (@p118 @p117)) % 0.35/0.58 (step @p120 :rule cong :premises (@p119) :args (@t16)) % 0.35/0.58 (step @p121 :rule aci_norm :args ((= (or (or @t85 @t107) @t111) (or @t85 @t107 @t105 @t110 @t17)))) % 0.35/0.58 (step @p122 :rule aci_norm :args ((= (or (or @t105 @t110) @t17) @t111))) % 0.35/0.58 (step @p123 :rule refl :args (@t17)) % 0.35/0.58 (step @p124 :rule bool-and-de-morgan :args (@t7 @t18 true)) % 0.35/0.58 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t19) @t17))) % 0.35/0.58 (step @p126 :rule trans :premises (@p125 @p122)) % 0.35/0.58 (step @p127 :rule bool-impl-elim :args (@t19 @t17)) % 0.35/0.58 (step @p128 :rule trans :premises (@p127 @p126)) % 0.35/0.58 (step @p129 :rule bool-and-de-morgan :args (@t13 @t12 true)) % 0.35/0.58 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or (not @t21) @t20))) % 0.35/0.58 (step @p131 :rule trans :premises (@p130 @p121)) % 0.35/0.58 (step @p132 :rule bool-impl-elim :args (@t21 @t20)) % 0.35/0.58 (step @p133 :rule trans :premises (@p132 @p131)) % 0.35/0.58 (step @p134 :rule cong :premises (@p133) :args (@t23)) % 0.35/0.58 (step @p135 :rule bool-impl-elim :args (@t13 @t24)) % 0.35/0.58 (step @p136 :rule cong :premises (@p135) :args (@t26)) % 0.35/0.58 (step @p137 :rule nary_cong :premises (@p136 @p134 @p120) :args (@t27)) % 0.35/0.58 (step @p138 :rule refl :args (@t28)) % 0.35/0.58 (step @p139 :rule cong :premises (@p138 @p137) :args (@t29)) % 0.35/0.58 (step @p140 :rule cong :premises (@p139) :args (@t31)) % 0.35/0.58 (step @p141 :rule eq_resolve :premises (@p1 @p140)) % 0.35/0.58 (step @p142 :rule instantiate :premises (@p141) :args ((@list @t64 @t63))) % 0.35/0.58 (step @p143 :rule bool-double-not-elim :args (@t69)) % 0.35/0.58 (step @p144 :rule nary_cong :premises (@p34 @p143) :args ((or @t71 (not @t70)))) % 0.35/0.58 (step @p145 :rule cnf_or_neg :args (@t71 0)) % 0.35/0.58 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 0.35/0.58 (step @p147 :rule reordering :premises (@p146) :args ((or @t69 @t71))) % 0.35/0.58 (step @p148 :rule chain_m_resolution :premises (@p147 @p32) :args (@t69 @t72 @t73)) % 0.35/0.58 (step @p149 :rule cnf_equiv_pos1 :args (@t116)) % 0.35/0.58 (step @p150 :rule reordering :premises (@p149) :args ((or @t70 @t115 (not @t116)))) % 0.35/0.58 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p142) :args (@t115 @t79 (@list @t69 @t116))) % 0.35/0.58 (step @p152 :rule cnf_and_pos :args (@t115 1)) % 0.35/0.58 (step @p153 :rule reordering :premises (@p152) :args ((or @t114 (not @t115)))) % 0.35/0.58 (step @p154 :rule chain_m_resolution :premises (@p153 @p151) :args (@t114 @t81 (@list @t115))) % 0.35/0.58 (step @p155 :rule refl :args (@t118)) % 0.35/0.58 (step @p156 :rule refl :args (@t119)) % 0.35/0.58 (step @p157 :rule nary_cong :premises (@p77 @p156 @p76 @p155 @p75) :args (@t120)) % 0.35/0.58 (step @p158 :rule refl :args (@t114)) % 0.35/0.58 (step @p159 :rule cong :premises (@p158 @p157) :args ((=> @t114 @t120))) % 0.35/0.58 (assume-push @p183 @t114) % 0.35/0.58 (step @p161 :rule instantiate :premises (@p154) :args ((@list @t92 @t62))) % 0.35/0.58 (step-pop @p184 :rule scope :premises (@p161)) % 0.35/0.58 (step @p162 :rule process_scope :premises (@p184) :args (@t120)) % 0.35/0.58 (step @p164 :rule eq_resolve :premises (@p162 @p159)) % 0.35/0.58 (step @p165 :rule implies_elim :premises (@p164)) % 0.35/0.58 (step @p166 :rule chain_m_resolution :premises (@p165 @p154) :args (@t121 @t81 (@list @t114))) % 0.35/0.58 (step @p167 :rule cnf_or_neg :args (@t98 2)) % 0.35/0.58 (step @p168 :rule chain_m_resolution :premises (@p167 @p89) :args ((not @t93) @t72 @t103)) % 0.35/0.58 (step @p169 :rule bool-double-not-elim :args (@t94)) % 0.35/0.58 (step @p170 :rule nary_cong :premises (@p91 @p169) :args ((or @t98 (not @t95)))) % 0.35/0.58 (step @p171 :rule cnf_or_neg :args (@t98 1)) % 0.35/0.58 (step @p172 :rule eq_resolve :premises (@p171 @p170)) % 0.35/0.58 (step @p173 :rule reordering :premises (@p172) :args ((or @t94 @t98))) % 0.35/0.58 (step @p174 :rule chain_m_resolution :premises (@p173 @p89) :args (@t94 @t72 @t103)) % 0.35/0.58 (step @p175 :rule cnf_or_pos :args (@t121)) % 0.35/0.58 (step @p176 :rule reordering :premises (@p175) :args ((or @t119 @t97 @t95 @t93 @t118 (not @t121)))) % 0.35/0.58 (step @p177 :rule chain_m_resolution :premises (@p176 @p45 @p96 @p174 @p168 @p166) :args (@t118 (@list false false false true false) (@list @t76 @t96 @t94 @t93 @t121))) % 0.35/0.58 (step @p178 :rule cnf_or_pos :args (@t122)) % 0.35/0.58 (step @p179 :rule reordering :premises (@p178) :args ((or @t97 @t117 (not @t122)))) % 0.35/0.58 (step @p180 false :rule chain_m_resolution :premises (@p179 @p177 @p100 @p96) :args (false (@list true false false) (@list @t117 @t122 @t96))) % 0.35/0.58 ) % 0.35/0.58 % SZS output end Proof % 0.35/0.58 % cvc5 exiting %------------------------------------------------------------------------------