%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV399+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 09:01:21 AM UTC 2026 % Result : Theorem 0.34s 0.58s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV399+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n006.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 20:06:19 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.58 % SZS status Theorem % 0.34/0.58 % SZS output start Proof % 0.34/0.58 ( % 0.34/0.58 (declare-sort $$unsorted 0) % 0.34/0.58 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.58 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.58 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.58 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 0.34/0.58 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.58 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.58 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 0.34/0.58 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.58 (declare-const tptp.create_slb $$unsorted) % 0.34/0.58 (declare-const tptp.bottom $$unsorted) % 0.34/0.58 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 0.34/0.58 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 0.34/0.58 (define @t1 () (@var "W" $$unsorted)) % 0.34/0.58 (define @t2 () (@var "U" $$unsorted)) % 0.34/0.58 (define @t3 () (tptp.less_than @t2 @t1)) % 0.34/0.58 (define @t4 () (@var "V" $$unsorted)) % 0.34/0.58 (define @t5 () (tptp.less_than @t4 @t1)) % 0.34/0.58 (define @t6 () (tptp.less_than @t2 @t4)) % 0.34/0.58 (define @t7 () (and @t6 @t5)) % 0.34/0.58 (define @t8 () (@list @t2 @t4 @t1)) % 0.34/0.58 (define @t9 () (forall @t8 (=> @t7 @t3))) % 0.34/0.58 (define @t10 () (tptp.less_than @t4 @t2)) % 0.34/0.58 (define @t11 () (@list @t2 @t4)) % 0.34/0.58 (define @t12 () (@list @t2)) % 0.34/0.58 (define @t13 () (tptp.pair @t4 @t1)) % 0.34/0.58 (define @t14 () (tptp.insert_slb @t2 @t13)) % 0.34/0.58 (define @t15 () (= @t4 @t1)) % 0.34/0.58 (define @t16 () (tptp.contains_slb @t2 @t1)) % 0.34/0.58 (define @t17 () (@var "X" $$unsorted)) % 0.34/0.58 (define @t18 () (tptp.pair @t4 @t17)) % 0.34/0.58 (define @t19 () (tptp.insert_slb @t2 @t18)) % 0.34/0.58 (define @t20 () (@list @t2 @t4 @t1 @t17)) % 0.34/0.58 (define @t21 () (@var "Y" $$unsorted)) % 0.34/0.58 (define @t22 () (and (not @t15) @t16)) % 0.34/0.58 (define @t23 () (tptp.update_slb @t2 @t1)) % 0.34/0.58 (define @t24 () (tptp.update_slb @t19 @t1)) % 0.34/0.58 (define @t25 () (tptp.update_slb @t2 @t17)) % 0.34/0.58 (define @t26 () (tptp.pair_in_list @t25 @t4 @t1)) % 0.34/0.58 (define @t27 () (tptp.less_than @t17 @t1)) % 0.34/0.58 (define @t28 () (tptp.pair_in_list @t2 @t4 @t1)) % 0.34/0.58 (define @t29 () (and @t28 @t27)) % 0.34/0.58 (define @t30 () (forall @t20 (=> @t29 @t26))) % 0.34/0.58 (define @t31 () (tptp.pair_in_list @t25 @t4 @t17)) % 0.34/0.58 (define @t32 () (tptp.strictly_less_than @t1 @t17)) % 0.34/0.58 (define @t33 () (and @t28 @t32)) % 0.34/0.58 (define @t34 () (forall @t20 (=> @t33 @t31))) % 0.34/0.58 (define @t35 () (@var "Z" $$unsorted)) % 0.34/0.58 (define @t36 () (tptp.strictly_less_than @t21 @t35)) % 0.34/0.58 (define @t37 () (tptp.pair_in_list @t25 @t21 @t35)) % 0.34/0.58 (define @t38 () (and @t37 @t36)) % 0.34/0.58 (define @t39 () (@list @t21 @t35)) % 0.34/0.58 (define @t40 () (exists @t39 @t38)) % 0.34/0.58 (define @t41 () (@list @t17)) % 0.34/0.58 (define @t42 () (forall @t41 @t40)) % 0.34/0.58 (define @t43 () (tptp.strictly_less_than @t4 @t1)) % 0.34/0.58 (define @t44 () (and @t28 @t43)) % 0.34/0.58 (define @t45 () (@list @t4 @t1)) % 0.34/0.58 (define @t46 () (exists @t45 @t44)) % 0.34/0.58 (define @t47 () (=> @t46 @t42)) % 0.34/0.58 (define @t48 () (forall @t12 @t47)) % 0.34/0.58 (define @t49 () (not @t48)) % 0.34/0.58 (define @t50 () (@var "BOUND_VARIABLE_7607" $$unsorted)) % 0.34/0.58 (define @t51 () (@var "BOUND_VARIABLE_7605" $$unsorted)) % 0.34/0.58 (define @t52 () (not (tptp.strictly_less_than @t51 @t50))) % 0.34/0.58 (define @t53 () (not (tptp.pair_in_list @t2 @t51 @t50))) % 0.34/0.58 (define @t54 () (not @t36)) % 0.34/0.58 (define @t55 () (@var "BOUND_VARIABLE_7614" $$unsorted)) % 0.34/0.58 (define @t56 () (not (forall @t39 (or (not (tptp.pair_in_list (tptp.update_slb @t2 @t55) @t21 @t35)) @t54)))) % 0.34/0.58 (define @t57 () (or @t56 @t53 @t52)) % 0.34/0.58 (define @t58 () (@list @t2 @t51 @t50 @t55)) % 0.34/0.58 (define @t59 () (forall @t58 @t57)) % 0.34/0.58 (define @t60 () (@quantifiers_skolemize @t59 3)) % 0.34/0.58 (define @t61 () (@quantifiers_skolemize @t59 1)) % 0.34/0.58 (define @t62 () (@list @t61 @t60)) % 0.34/0.58 (define @t63 () (or @t53 @t52)) % 0.34/0.58 (define @t64 () (or @t63 @t56)) % 0.34/0.58 (define @t65 () (forall @t58 @t64)) % 0.34/0.58 (define @t66 () (forall (@list @t51 @t50 @t55) @t64)) % 0.34/0.58 (define @t67 () (forall (@list @t55) @t56)) % 0.34/0.58 (define @t68 () (forall (@list @t51 @t50) @t63)) % 0.34/0.58 (define @t69 () (or @t68 @t67)) % 0.34/0.58 (define @t70 () (forall @t41 (not (forall @t39 (or (not @t37) @t54))))) % 0.34/0.58 (define @t71 () (not @t28)) % 0.34/0.58 (define @t72 () (forall @t45 (or @t71 (not @t43)))) % 0.34/0.58 (define @t73 () (not @t72)) % 0.34/0.58 (define @t74 () (forall @t39 (not @t38))) % 0.34/0.58 (define @t75 () (not @t74)) % 0.34/0.58 (define @t76 () (forall @t45 (not @t44))) % 0.34/0.58 (define @t77 () (not @t76)) % 0.34/0.58 (define @t78 () (@quantifiers_skolemize @t59 0)) % 0.34/0.58 (define @t79 () (tptp.update_slb @t78 @t60)) % 0.34/0.58 (define @t80 () (forall @t39 (or (not (tptp.pair_in_list @t79 @t21 @t35)) @t54))) % 0.34/0.58 (define @t81 () (@quantifiers_skolemize @t59 2)) % 0.34/0.58 (define @t82 () (tptp.strictly_less_than @t61 @t81)) % 0.34/0.58 (define @t83 () (not @t82)) % 0.34/0.58 (define @t84 () (tptp.pair_in_list @t78 @t61 @t81)) % 0.34/0.58 (define @t85 () (not @t84)) % 0.34/0.58 (define @t86 () (not @t80)) % 0.34/0.58 (define @t87 () (or @t86 @t85 @t83)) % 0.34/0.58 (define @t88 () (@list true)) % 0.34/0.58 (define @t89 () (@list @t87)) % 0.34/0.58 (define @t90 () (not @t32)) % 0.34/0.58 (define @t91 () (@list @t78 @t61 @t81 @t60)) % 0.34/0.58 (define @t92 () (not @t27)) % 0.34/0.58 (define @t93 () (@list @t61 @t81)) % 0.34/0.58 (define @t94 () (tptp.pair_in_list @t79 @t61 @t81)) % 0.34/0.58 (define @t95 () (not @t94)) % 0.34/0.58 (define @t96 () (or @t95 @t83)) % 0.34/0.58 (define @t97 () (@list false false)) % 0.34/0.58 (define @t98 () (tptp.less_than @t60 @t81)) % 0.34/0.58 (define @t99 () (not @t98)) % 0.34/0.58 (define @t100 () (or @t85 @t99 @t94)) % 0.34/0.58 (define @t101 () (@list false true false)) % 0.34/0.58 (define @t102 () (tptp.less_than @t81 @t60)) % 0.34/0.58 (define @t103 () (or @t98 @t102)) % 0.34/0.58 (define @t104 () (@list true false)) % 0.34/0.58 (define @t105 () (not @t102)) % 0.34/0.58 (define @t106 () (and @t102 @t99)) % 0.34/0.58 (define @t107 () (tptp.strictly_less_than @t81 @t60)) % 0.34/0.58 (define @t108 () (= @t107 @t106)) % 0.34/0.58 (define @t109 () (tptp.pair_in_list @t79 @t61 @t60)) % 0.34/0.58 (define @t110 () (not @t107)) % 0.34/0.58 (define @t111 () (or @t85 @t110 @t109)) % 0.34/0.58 (define @t112 () (tptp.strictly_less_than @t61 @t60)) % 0.34/0.58 (define @t113 () (not @t112)) % 0.34/0.58 (define @t114 () (not @t109)) % 0.34/0.58 (define @t115 () (or @t114 @t113)) % 0.34/0.58 (define @t116 () (not @t5)) % 0.34/0.58 (define @t117 () (not @t6)) % 0.34/0.58 (define @t118 () (tptp.less_than @t81 @t61)) % 0.34/0.58 (define @t119 () (not @t118)) % 0.34/0.58 (define @t120 () (and (tptp.less_than @t61 @t81) @t119)) % 0.34/0.58 (define @t121 () (= @t82 @t120)) % 0.34/0.58 (define @t122 () (tptp.less_than @t60 @t61)) % 0.34/0.58 (define @t123 () (not @t122)) % 0.34/0.58 (define @t124 () (or @t105 @t123 @t118)) % 0.34/0.58 (define @t125 () (tptp.less_than @t61 @t60)) % 0.34/0.58 (define @t126 () (or @t122 @t125)) % 0.34/0.58 (define @t127 () (not @t125)) % 0.34/0.58 (define @t128 () (and @t125 @t123)) % 0.34/0.58 (define @t129 () (= @t112 @t128)) % 0.34/0.58 (assume @p1 @t9) % 0.34/0.58 (assume @p2 (forall @t11 (or @t6 @t10))) % 0.34/0.58 (assume @p3 (forall @t12 (tptp.less_than @t2 @t2))) % 0.34/0.58 (assume @p4 (forall @t11 (= (tptp.strictly_less_than @t2 @t4) (and @t6 (not @t10))))) % 0.34/0.58 (assume @p5 (forall @t12 (tptp.less_than tptp.bottom @t2))) % 0.34/0.58 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 0.34/0.58 (assume @p7 (forall @t8 (tptp.isnonempty_slb @t14))) % 0.34/0.58 (assume @p8 (forall @t12 (not (tptp.contains_slb tptp.create_slb @t2)))) % 0.34/0.58 (assume @p9 (forall @t20 (= (tptp.contains_slb @t19 @t1) (or @t16 @t15)))) % 0.34/0.58 (assume @p10 (forall @t11 (not (tptp.pair_in_list tptp.create_slb @t2 @t4)))) % 0.34/0.58 (assume @p11 (forall (@list @t2 @t4 @t1 @t17 @t21) (= (tptp.pair_in_list @t19 @t1 @t21) (or (tptp.pair_in_list @t2 @t1 @t21) (and @t15 (= @t17 @t21)))))) % 0.34/0.58 (assume @p12 (forall @t8 (= (tptp.remove_slb @t14 @t4) @t2))) % 0.34/0.58 (assume @p13 (forall @t20 (=> @t22 (= (tptp.remove_slb @t19 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t18))))) % 0.34/0.58 (assume @p14 (forall @t8 (= (tptp.lookup_slb @t14 @t4) @t1))) % 0.34/0.58 (assume @p15 (forall @t20 (=> @t22 (= (tptp.lookup_slb @t19 @t1) (tptp.lookup_slb @t2 @t1))))) % 0.34/0.58 (assume @p16 (forall @t12 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 0.34/0.58 (assume @p17 (forall @t20 (=> (tptp.strictly_less_than @t17 @t1) (= @t24 (tptp.insert_slb @t23 @t13))))) % 0.34/0.58 (assume @p18 (forall @t20 (=> (tptp.less_than @t1 @t17) (= @t24 (tptp.insert_slb @t23 @t18))))) % 0.34/0.58 (assume @p19 @t30) % 0.34/0.58 (assume @p20 @t34) % 0.34/0.58 (assume @p21 @t49) % 0.34/0.58 (assume @p22 true) % 0.34/0.58 (step @p23 :rule instantiate :premises (@p4) :args (@t62)) % 0.34/0.58 (step @p24 :rule aci_norm :args ((= @t64 @t57))) % 0.34/0.58 (step @p25 :rule cong :premises (@p24) :args (@t65)) % 0.34/0.58 (step @p26 :rule quant-merge-prenex :args ((= (forall @t12 @t66) @t65))) % 0.34/0.58 (step @p27 :rule alpha_equiv :args (@t67 (@list @t55) (@list @t17))) % 0.34/0.58 (step @p28 :rule alpha_equiv :args (@t68 (@list @t51 @t50) (@list @t4 @t1))) % 0.34/0.58 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t69)) % 0.34/0.58 (step @p30 :rule quant-miniscope-or :args ((= @t66 @t69))) % 0.34/0.58 (step @p31 :rule trans :premises (@p30 @p29)) % 0.34/0.58 (step @p32 :rule symm :premises (@p31)) % 0.34/0.58 (step @p33 :rule cong :premises (@p32) :args ((forall @t12 (or @t72 @t70)))) % 0.34/0.58 (step @p34 :rule trans :premises (@p33 @p26)) % 0.34/0.58 (step @p35 :rule trans :premises (@p34 @p25)) % 0.34/0.58 (step @p36 :rule refl :args (@t70)) % 0.34/0.58 (step @p37 :rule bool-double-not-elim :args (@t72)) % 0.34/0.58 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or (not @t73) @t70))) % 0.34/0.58 (step @p39 :rule bool-impl-elim :args (@t73 @t70)) % 0.34/0.58 (step @p40 :rule trans :premises (@p39 @p38)) % 0.34/0.58 (step @p41 :rule cong :premises (@p40) :args ((forall @t12 (=> @t73 @t70)))) % 0.34/0.58 (step @p42 :rule trans :premises (@p41 @p35)) % 0.34/0.58 (step @p43 :rule bool-and-de-morgan :args (@t37 @t36 true)) % 0.34/0.58 (step @p44 :rule cong :premises (@p43) :args (@t74)) % 0.34/0.58 (step @p45 :rule cong :premises (@p44) :args (@t75)) % 0.34/0.58 (step @p46 :rule exists-elim :args ((= @t40 @t75))) % 0.34/0.58 (step @p47 :rule trans :premises (@p46 @p45)) % 0.34/0.58 (step @p48 :rule cong :premises (@p47) :args (@t42)) % 0.34/0.58 (step @p49 :rule bool-and-de-morgan :args (@t28 @t43 true)) % 0.34/0.58 (step @p50 :rule cong :premises (@p49) :args (@t76)) % 0.34/0.58 (step @p51 :rule cong :premises (@p50) :args (@t77)) % 0.34/0.58 (step @p52 :rule exists-elim :args ((= @t46 @t77))) % 0.34/0.58 (step @p53 :rule trans :premises (@p52 @p51)) % 0.34/0.58 (step @p54 :rule cong :premises (@p53 @p48) :args (@t47)) % 0.34/0.58 (step @p55 :rule cong :premises (@p54) :args (@t48)) % 0.34/0.58 (step @p56 :rule trans :premises (@p55 @p42)) % 0.34/0.58 (step @p57 :rule cong :premises (@p56) :args (@t49)) % 0.34/0.58 (step @p58 :rule eq_resolve :premises (@p21 @p57)) % 0.34/0.58 (step @p59 :rule skolemize :premises (@p58)) % 0.34/0.58 (step @p60 :rule bool-double-not-elim :args (@t80)) % 0.34/0.58 (step @p61 :rule refl :args (@t87)) % 0.34/0.58 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t87 (not @t86)))) % 0.34/0.58 (step @p63 :rule cnf_or_neg :args (@t87 0)) % 0.34/0.58 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.34/0.58 (step @p65 :rule reordering :premises (@p64) :args ((or @t80 @t87))) % 0.34/0.58 (step @p66 :rule chain_m_resolution :premises (@p65 @p59) :args (@t80 @t88 @t89)) % 0.34/0.58 (step @p67 :rule instantiate :premises (@p66) :args (@t62)) % 0.34/0.58 (step @p68 :rule aci_norm :args ((= (or (or @t71 @t90) @t31) (or @t71 @t90 @t31)))) % 0.34/0.58 (step @p69 :rule refl :args (@t31)) % 0.34/0.58 (step @p70 :rule bool-and-de-morgan :args (@t28 @t32 true)) % 0.34/0.58 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or (not @t33) @t31))) % 0.34/0.58 (step @p72 :rule trans :premises (@p71 @p68)) % 0.34/0.58 (step @p73 :rule bool-impl-elim :args (@t33 @t31)) % 0.34/0.58 (step @p74 :rule trans :premises (@p73 @p72)) % 0.34/0.58 (step @p75 :rule cong :premises (@p74) :args (@t34)) % 0.34/0.58 (step @p76 :rule eq_resolve :premises (@p20 @p75)) % 0.34/0.58 (step @p77 :rule instantiate :premises (@p76) :args (@t91)) % 0.34/0.58 (step @p78 :rule instantiate :premises (@p4) :args ((@list @t81 @t60))) % 0.34/0.58 (step @p79 :rule instantiate :premises (@p2) :args ((@list @t60 @t81))) % 0.34/0.58 (step @p80 :rule aci_norm :args ((= (or (or @t71 @t92) @t26) (or @t71 @t92 @t26)))) % 0.34/0.58 (step @p81 :rule refl :args (@t26)) % 0.34/0.58 (step @p82 :rule bool-and-de-morgan :args (@t28 @t27 true)) % 0.34/0.58 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or (not @t29) @t26))) % 0.34/0.58 (step @p84 :rule trans :premises (@p83 @p80)) % 0.34/0.58 (step @p85 :rule bool-impl-elim :args (@t29 @t26)) % 0.34/0.58 (step @p86 :rule trans :premises (@p85 @p84)) % 0.34/0.58 (step @p87 :rule cong :premises (@p86) :args (@t30)) % 0.34/0.58 (step @p88 :rule eq_resolve :premises (@p19 @p87)) % 0.34/0.58 (step @p89 :rule instantiate :premises (@p88) :args (@t91)) % 0.34/0.58 (step @p90 :rule instantiate :premises (@p66) :args (@t93)) % 0.34/0.58 (step @p91 :rule bool-double-not-elim :args (@t82)) % 0.34/0.58 (step @p92 :rule nary_cong :premises (@p61 @p91) :args ((or @t87 (not @t83)))) % 0.34/0.58 (step @p93 :rule cnf_or_neg :args (@t87 2)) % 0.34/0.58 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 0.34/0.58 (step @p95 :rule reordering :premises (@p94) :args ((or @t82 @t87))) % 0.34/0.58 (step @p96 :rule chain_m_resolution :premises (@p95 @p59) :args (@t82 @t88 @t89)) % 0.34/0.58 (step @p97 :rule cnf_or_pos :args (@t96)) % 0.34/0.58 (step @p98 :rule reordering :premises (@p97) :args ((or @t83 @t95 (not @t96)))) % 0.34/0.58 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p90) :args (@t95 @t97 (@list @t82 @t96))) % 0.34/0.58 (step @p100 :rule bool-double-not-elim :args (@t84)) % 0.34/0.58 (step @p101 :rule nary_cong :premises (@p61 @p100) :args ((or @t87 (not @t85)))) % 0.34/0.58 (step @p102 :rule cnf_or_neg :args (@t87 1)) % 0.34/0.58 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 0.34/0.58 (step @p104 :rule reordering :premises (@p103) :args ((or @t84 @t87))) % 0.34/0.58 (step @p105 :rule chain_m_resolution :premises (@p104 @p59) :args (@t84 @t88 @t89)) % 0.34/0.58 (step @p106 :rule cnf_or_pos :args (@t100)) % 0.34/0.58 (step @p107 :rule reordering :premises (@p106) :args ((or @t85 @t94 @t99 (not @t100)))) % 0.34/0.58 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p99 @p89) :args (@t99 @t101 (@list @t84 @t94 @t100))) % 0.34/0.58 (step @p109 :rule cnf_or_pos :args (@t103)) % 0.34/0.58 (step @p110 :rule reordering :premises (@p109) :args ((or @t98 @t102 (not @t103)))) % 0.34/0.58 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p79) :args (@t102 @t104 (@list @t98 @t103))) % 0.34/0.58 (step @p112 :rule bool-double-not-elim :args (@t98)) % 0.34/0.58 (step @p113 :rule refl :args (@t105)) % 0.34/0.58 (step @p114 :rule refl :args (@t106)) % 0.34/0.58 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112) :args ((or @t106 @t105 (not @t99)))) % 0.34/0.58 (step @p116 :rule cnf_and_neg :args (@t106)) % 0.34/0.58 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 0.34/0.58 (step @p118 :rule reordering :premises (@p117) :args ((or @t98 @t105 @t106))) % 0.34/0.58 (step @p119 :rule chain_m_resolution :premises (@p118 @p108 @p111) :args (@t106 @t104 (@list @t98 @t102))) % 0.34/0.58 (step @p120 :rule cnf_equiv_pos2 :args (@t108)) % 0.34/0.58 (step @p121 :rule reordering :premises (@p120) :args ((or @t107 (not @t106) (not @t108)))) % 0.34/0.58 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p78) :args (@t107 @t97 (@list @t106 @t108))) % 0.34/0.58 (step @p123 :rule cnf_or_pos :args (@t111)) % 0.34/0.58 (step @p124 :rule reordering :premises (@p123) :args ((or @t85 @t110 @t109 (not @t111)))) % 0.34/0.58 (step @p125 :rule chain_m_resolution :premises (@p124 @p105 @p122 @p77) :args (@t109 (@list false false false) (@list @t84 @t107 @t111))) % 0.34/0.58 (step @p126 :rule cnf_or_pos :args (@t115)) % 0.34/0.58 (step @p127 :rule reordering :premises (@p126) :args ((or @t114 @t113 (not @t115)))) % 0.34/0.58 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p67) :args (@t113 @t97 (@list @t109 @t115))) % 0.34/0.58 (step @p129 :rule instantiate :premises (@p2) :args ((@list @t60 @t61))) % 0.34/0.58 (step @p130 :rule aci_norm :args ((= (or (or @t117 @t116) @t3) (or @t117 @t116 @t3)))) % 0.34/0.58 (step @p131 :rule refl :args (@t3)) % 0.34/0.58 (step @p132 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 0.34/0.58 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or (not @t7) @t3))) % 0.34/0.58 (step @p134 :rule trans :premises (@p133 @p130)) % 0.34/0.58 (step @p135 :rule bool-impl-elim :args (@t7 @t3)) % 0.34/0.58 (step @p136 :rule trans :premises (@p135 @p134)) % 0.34/0.58 (step @p137 :rule cong :premises (@p136) :args (@t9)) % 0.34/0.58 (step @p138 :rule eq_resolve :premises (@p1 @p137)) % 0.34/0.58 (step @p139 :rule instantiate :premises (@p138) :args ((@list @t81 @t60 @t61))) % 0.34/0.58 (step @p140 :rule instantiate :premises (@p4) :args (@t93)) % 0.34/0.58 (step @p141 :rule cnf_equiv_pos1 :args (@t121)) % 0.34/0.58 (step @p142 :rule reordering :premises (@p141) :args ((or @t83 @t120 (not @t121)))) % 0.34/0.58 (step @p143 :rule chain_m_resolution :premises (@p142 @p96 @p140) :args (@t120 @t97 (@list @t82 @t121))) % 0.34/0.58 (step @p144 :rule cnf_and_pos :args (@t120 1)) % 0.34/0.58 (step @p145 :rule reordering :premises (@p144) :args ((or @t119 (not @t120)))) % 0.34/0.58 (step @p146 :rule chain_m_resolution :premises (@p145 @p143) :args (@t119 (@list false) (@list @t120))) % 0.34/0.58 (step @p147 :rule cnf_or_pos :args (@t124)) % 0.34/0.58 (step @p148 :rule reordering :premises (@p147) :args ((or @t118 @t105 @t123 (not @t124)))) % 0.34/0.58 (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p111 @p139) :args (@t123 (@list true false false) (@list @t118 @t102 @t124))) % 0.34/0.58 (step @p150 :rule cnf_or_pos :args (@t126)) % 0.34/0.58 (step @p151 :rule reordering :premises (@p150) :args ((or @t122 @t125 (not @t126)))) % 0.34/0.58 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p129) :args (@t125 @t104 (@list @t122 @t126))) % 0.34/0.58 (step @p153 :rule bool-double-not-elim :args (@t122)) % 0.34/0.58 (step @p154 :rule refl :args (@t127)) % 0.34/0.58 (step @p155 :rule refl :args (@t128)) % 0.34/0.58 (step @p156 :rule nary_cong :premises (@p155 @p154 @p153) :args ((or @t128 @t127 (not @t123)))) % 0.34/0.58 (step @p157 :rule cnf_and_neg :args (@t128)) % 0.34/0.58 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 0.34/0.58 (step @p159 :rule reordering :premises (@p158) :args ((or @t122 @t127 @t128))) % 0.34/0.58 (step @p160 :rule chain_m_resolution :premises (@p159 @p149 @p152) :args (@t128 @t104 (@list @t122 @t125))) % 0.34/0.58 (step @p161 :rule cnf_equiv_pos2 :args (@t129)) % 0.34/0.58 (step @p162 :rule reordering :premises (@p161) :args ((or @t112 (not @t128) (not @t129)))) % 0.34/0.58 (step @p163 false :rule chain_m_resolution :premises (@p162 @p160 @p128 @p23) :args (false @t101 (@list @t128 @t112 @t129))) % 0.34/0.58 ) % 0.34/0.58 % SZS output end Proof % 0.34/0.58 % cvc5 exiting %------------------------------------------------------------------------------