%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV411+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 : n001.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 09:01:23 AM UTC 2026 % Result : Theorem 15.64s 15.91s % Output : Proof 15.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV411+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 : n001.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 20:07:20 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 15.64/15.91 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.64/15.91 --- Run --no-e-matching --full-saturate-quant at 6... % 15.64/15.91 % SZS status Theorem % 15.64/15.91 % SZS output start Proof % 15.64/15.91 ( % 15.64/15.91 (declare-sort $$unsorted 0) % 15.64/15.91 (declare-const tptp.update_slb (-> $$unsorted $$unsorted $$unsorted)) % 15.64/15.91 (declare-const tptp.remove_slb (-> $$unsorted $$unsorted $$unsorted)) % 15.64/15.91 (declare-const tptp.pair_in_list (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.64/15.91 (declare-const tptp.contains_slb (-> $$unsorted $$unsorted Bool)) % 15.64/15.91 (declare-const tptp.insert_slb (-> $$unsorted $$unsorted $$unsorted)) % 15.64/15.91 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 15.64/15.91 (declare-const tptp.isnonempty_slb (-> $$unsorted Bool)) % 15.64/15.91 (declare-const tptp.lookup_slb (-> $$unsorted $$unsorted $$unsorted)) % 15.64/15.91 (declare-const tptp.create_slb $$unsorted) % 15.64/15.91 (declare-const tptp.bottom $$unsorted) % 15.64/15.91 (declare-const tptp.strictly_less_than (-> $$unsorted $$unsorted Bool)) % 15.64/15.91 (declare-const tptp.less_than (-> $$unsorted $$unsorted Bool)) % 15.64/15.91 (define @t1 () (@var "W" $$unsorted)) % 15.64/15.91 (define @t2 () (@var "U" $$unsorted)) % 15.64/15.91 (define @t3 () (@var "V" $$unsorted)) % 15.64/15.91 (define @t4 () (tptp.less_than @t2 @t3)) % 15.64/15.91 (define @t5 () (@list @t2 @t3 @t1)) % 15.64/15.91 (define @t6 () (tptp.less_than @t3 @t2)) % 15.64/15.91 (define @t7 () (@list @t2 @t3)) % 15.64/15.91 (define @t8 () (@list @t2)) % 15.64/15.91 (define @t9 () (tptp.pair @t3 @t1)) % 15.64/15.91 (define @t10 () (tptp.insert_slb @t2 @t9)) % 15.64/15.91 (define @t11 () (= @t3 @t1)) % 15.64/15.91 (define @t12 () (tptp.contains_slb @t2 @t1)) % 15.64/15.91 (define @t13 () (@var "X" $$unsorted)) % 15.64/15.91 (define @t14 () (tptp.pair @t3 @t13)) % 15.64/15.91 (define @t15 () (tptp.insert_slb @t2 @t14)) % 15.64/15.91 (define @t16 () (@list @t2 @t3 @t1 @t13)) % 15.64/15.91 (define @t17 () (forall @t16 (= (tptp.contains_slb @t15 @t1) (or @t12 @t11)))) % 15.64/15.91 (define @t18 () (@var "Y" $$unsorted)) % 15.64/15.91 (define @t19 () (forall (@list @t2 @t3 @t1 @t13 @t18) (= (tptp.pair_in_list @t15 @t1 @t18) (or (tptp.pair_in_list @t2 @t1 @t18) (and @t11 (= @t13 @t18)))))) % 15.64/15.91 (define @t20 () (and (not @t11) @t12)) % 15.64/15.91 (define @t21 () (tptp.update_slb @t2 @t1)) % 15.64/15.91 (define @t22 () (tptp.update_slb @t15 @t1)) % 15.64/15.91 (define @t23 () (@var "X1" $$unsorted)) % 15.64/15.91 (define @t24 () (@var "Z" $$unsorted)) % 15.64/15.91 (define @t25 () (tptp.insert_slb @t2 (tptp.pair @t18 @t24))) % 15.64/15.91 (define @t26 () (tptp.pair_in_list @t25 @t13 @t23)) % 15.64/15.91 (define @t27 () (@list @t23)) % 15.64/15.91 (define @t28 () (exists @t27 @t26)) % 15.64/15.91 (define @t29 () (tptp.contains_slb @t25 @t13)) % 15.64/15.91 (define @t30 () (=> @t29 @t28)) % 15.64/15.91 (define @t31 () (@list @t13 @t18 @t24)) % 15.64/15.91 (define @t32 () (forall @t31 @t30)) % 15.64/15.91 (define @t33 () (tptp.pair_in_list @t2 @t3 @t1)) % 15.64/15.91 (define @t34 () (@list @t1)) % 15.64/15.91 (define @t35 () (exists @t34 @t33)) % 15.64/15.91 (define @t36 () (tptp.contains_slb @t2 @t3)) % 15.64/15.91 (define @t37 () (=> @t36 @t35)) % 15.64/15.91 (define @t38 () (@list @t3)) % 15.64/15.91 (define @t39 () (forall @t38 @t37)) % 15.64/15.91 (define @t40 () (=> @t39 @t32)) % 15.64/15.91 (define @t41 () (forall @t8 @t40)) % 15.64/15.91 (define @t42 () (not @t41)) % 15.64/15.91 (define @t43 () (@var "BOUND_VARIABLE_7587" $$unsorted)) % 15.64/15.91 (define @t44 () (@var "BOUND_VARIABLE_7591" $$unsorted)) % 15.64/15.91 (define @t45 () (@var "BOUND_VARIABLE_7589" $$unsorted)) % 15.64/15.91 (define @t46 () (tptp.insert_slb @t2 (tptp.pair @t45 @t44))) % 15.64/15.91 (define @t47 () (not (forall @t27 (not (tptp.pair_in_list @t46 @t43 @t23))))) % 15.64/15.91 (define @t48 () (not (tptp.contains_slb @t46 @t43))) % 15.64/15.91 (define @t49 () (not (forall @t34 (not @t33)))) % 15.64/15.91 (define @t50 () (forall @t38 (or (not @t36) @t49))) % 15.64/15.91 (define @t51 () (not @t50)) % 15.64/15.91 (define @t52 () (or @t51 @t48 @t47)) % 15.64/15.91 (define @t53 () (or @t48 @t47)) % 15.64/15.91 (define @t54 () (or @t51 @t53)) % 15.64/15.91 (define @t55 () (@list @t2 @t43 @t45 @t44)) % 15.64/15.91 (define @t56 () (forall @t55 @t54)) % 15.64/15.91 (define @t57 () (@list @t43 @t45 @t44)) % 15.64/15.91 (define @t58 () (forall @t57 @t54)) % 15.64/15.91 (define @t59 () (forall @t57 @t53)) % 15.64/15.91 (define @t60 () (or @t51 @t59)) % 15.64/15.91 (define @t61 () (not (forall @t27 (not @t26)))) % 15.64/15.91 (define @t62 () (forall @t31 (or (not @t29) @t61))) % 15.64/15.91 (define @t63 () (forall @t55 @t52)) % 15.64/15.91 (define @t64 () (@quantifiers_skolemize @t63 1)) % 15.64/15.91 (define @t65 () (@quantifiers_skolemize @t63 3)) % 15.64/15.91 (define @t66 () (@quantifiers_skolemize @t63 2)) % 15.64/15.91 (define @t67 () (@quantifiers_skolemize @t63 0)) % 15.64/15.91 (define @t68 () (tptp.insert_slb @t67 (tptp.pair @t66 @t65))) % 15.64/15.91 (define @t69 () (forall @t27 (not (tptp.pair_in_list @t68 @t64 @t23)))) % 15.64/15.91 (define @t70 () (not @t69)) % 15.64/15.91 (define @t71 () (tptp.contains_slb @t68 @t64)) % 15.64/15.91 (define @t72 () (not @t71)) % 15.64/15.91 (define @t73 () (forall @t38 (or (not (tptp.contains_slb @t67 @t3)) (not (forall @t34 (not (tptp.pair_in_list @t67 @t3 @t1))))))) % 15.64/15.91 (define @t74 () (not @t73)) % 15.64/15.91 (define @t75 () (or @t74 @t72 @t70)) % 15.64/15.91 (define @t76 () (@list true)) % 15.64/15.91 (define @t77 () (@list @t75)) % 15.64/15.91 (define @t78 () (forall @t34 (not (tptp.pair_in_list @t67 @t64 @t1)))) % 15.64/15.91 (define @t79 () (@quantifiers_skolemize @t78 0)) % 15.64/15.91 (define @t80 () (tptp.contains_slb @t67 @t64)) % 15.64/15.91 (define @t81 () (= @t66 @t64)) % 15.64/15.91 (define @t82 () (or @t80 @t81)) % 15.64/15.91 (define @t83 () (= @t71 @t82)) % 15.64/15.91 (define @t84 () (= @t64 @t66)) % 15.64/15.91 (define @t85 () (or @t80 @t84)) % 15.64/15.91 (define @t86 () (= @t71 @t85)) % 15.64/15.91 (define @t87 () (@list false)) % 15.64/15.91 (define @t88 () (@list false false)) % 15.64/15.91 (define @t89 () (tptp.pair @t64 @t65)) % 15.64/15.91 (define @t90 () (tptp.insert_slb @t67 @t89)) % 15.64/15.91 (define @t91 () (tptp.pair_in_list @t90 @t64 @t65)) % 15.64/15.91 (define @t92 () (tptp.pair_in_list @t67 @t64 @t65)) % 15.64/15.91 (define @t93 () (and (= @t64 @t64) (= @t65 @t65))) % 15.64/15.91 (define @t94 () (or @t92 @t93)) % 15.64/15.91 (define @t95 () (= @t91 @t94)) % 15.64/15.91 (define @t96 () (@list @t19)) % 15.64/15.91 (define @t97 () (not @t91)) % 15.64/15.91 (define @t98 () (tptp.pair_in_list @t68 @t64 @t65)) % 15.64/15.91 (define @t99 () (not @t84)) % 15.64/15.91 (define @t100 () (not @t98)) % 15.64/15.91 (define @t101 () (and @t100 @t84 @t91)) % 15.64/15.91 (define @t102 () (@list true false)) % 15.64/15.91 (define @t103 () (not @t78)) % 15.64/15.91 (define @t104 () (not @t80)) % 15.64/15.91 (define @t105 () (or @t104 @t103)) % 15.64/15.91 (define @t106 () (tptp.pair_in_list @t67 @t64 @t79)) % 15.64/15.91 (define @t107 () (not @t106)) % 15.64/15.91 (define @t108 () (not @t107)) % 15.64/15.91 (define @t109 () (= @t65 @t79)) % 15.64/15.91 (define @t110 () (or @t106 (and @t84 @t109))) % 15.64/15.91 (define @t111 () (and @t81 @t109)) % 15.64/15.91 (define @t112 () (or @t106 @t111)) % 15.64/15.91 (define @t113 () (tptp.pair_in_list @t68 @t64 @t79)) % 15.64/15.91 (define @t114 () (= @t113 @t112)) % 15.64/15.91 (define @t115 () (= @t113 @t110)) % 15.64/15.91 (assume @p1 (forall @t5 (=> (and @t4 (tptp.less_than @t3 @t1)) (tptp.less_than @t2 @t1)))) % 15.64/15.91 (assume @p2 (forall @t7 (or @t4 @t6))) % 15.64/15.91 (assume @p3 (forall @t8 (tptp.less_than @t2 @t2))) % 15.64/15.91 (assume @p4 (forall @t7 (= (tptp.strictly_less_than @t2 @t3) (and @t4 (not @t6))))) % 15.64/15.91 (assume @p5 (forall @t8 (tptp.less_than tptp.bottom @t2))) % 15.64/15.91 (assume @p6 (not (tptp.isnonempty_slb tptp.create_slb))) % 15.64/15.91 (assume @p7 (forall @t5 (tptp.isnonempty_slb @t10))) % 15.64/15.91 (assume @p8 (forall @t8 (not (tptp.contains_slb tptp.create_slb @t2)))) % 15.64/15.91 (assume @p9 @t17) % 15.64/15.91 (assume @p10 (forall @t7 (not (tptp.pair_in_list tptp.create_slb @t2 @t3)))) % 15.64/15.91 (assume @p11 @t19) % 15.64/15.91 (assume @p12 (forall @t5 (= (tptp.remove_slb @t10 @t3) @t2))) % 15.64/15.91 (assume @p13 (forall @t16 (=> @t20 (= (tptp.remove_slb @t15 @t1) (tptp.insert_slb (tptp.remove_slb @t2 @t1) @t14))))) % 15.64/15.91 (assume @p14 (forall @t5 (= (tptp.lookup_slb @t10 @t3) @t1))) % 15.64/15.91 (assume @p15 (forall @t16 (=> @t20 (= (tptp.lookup_slb @t15 @t1) (tptp.lookup_slb @t2 @t1))))) % 15.64/15.91 (assume @p16 (forall @t8 (= (tptp.update_slb tptp.create_slb @t2) tptp.create_slb))) % 15.64/15.91 (assume @p17 (forall @t16 (=> (tptp.strictly_less_than @t13 @t1) (= @t22 (tptp.insert_slb @t21 @t9))))) % 15.64/15.91 (assume @p18 (forall @t16 (=> (tptp.less_than @t1 @t13) (= @t22 (tptp.insert_slb @t21 @t14))))) % 15.64/15.91 (assume @p19 @t42) % 15.64/15.91 (assume @p20 true) % 15.64/15.91 (step @p21 :rule aci_norm :args ((= @t54 @t52))) % 15.64/15.91 (step @p22 :rule cong :premises (@p21) :args (@t56)) % 15.64/15.91 (step @p23 :rule quant-merge-prenex :args ((= (forall @t8 @t58) @t56))) % 15.64/15.91 (step @p24 :rule alpha_equiv :args (@t59 (@list @t43 @t45 @t44) (@list @t13 @t18 @t24))) % 15.64/15.91 (step @p25 :rule refl :args (@t51)) % 15.64/15.91 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t60)) % 15.64/15.91 (step @p27 :rule quant-miniscope-or :args ((= @t58 @t60))) % 15.64/15.91 (step @p28 :rule trans :premises (@p27 @p26)) % 15.64/15.91 (step @p29 :rule symm :premises (@p28)) % 15.64/15.91 (step @p30 :rule cong :premises (@p29) :args ((forall @t8 (or @t51 @t62)))) % 15.64/15.91 (step @p31 :rule trans :premises (@p30 @p23)) % 15.64/15.91 (step @p32 :rule trans :premises (@p31 @p22)) % 15.64/15.91 (step @p33 :rule bool-impl-elim :args (@t50 @t62)) % 15.64/15.91 (step @p34 :rule cong :premises (@p33) :args ((forall @t8 (=> @t50 @t62)))) % 15.64/15.91 (step @p35 :rule trans :premises (@p34 @p32)) % 15.64/15.91 (step @p36 :rule bool-impl-elim :args (@t29 @t61)) % 15.64/15.91 (step @p37 :rule cong :premises (@p36) :args ((forall @t31 (=> @t29 @t61)))) % 15.64/15.91 (step @p38 :rule exists-elim :args ((= @t28 @t61))) % 15.64/15.91 (step @p39 :rule refl :args (@t29)) % 15.64/15.91 (step @p40 :rule cong :premises (@p39 @p38) :args (@t30)) % 15.64/15.91 (step @p41 :rule cong :premises (@p40) :args (@t32)) % 15.64/15.91 (step @p42 :rule trans :premises (@p41 @p37)) % 15.64/15.91 (step @p43 :rule bool-impl-elim :args (@t36 @t49)) % 15.64/15.91 (step @p44 :rule cong :premises (@p43) :args ((forall @t38 (=> @t36 @t49)))) % 15.64/15.91 (step @p45 :rule exists-elim :args ((= @t35 @t49))) % 15.64/15.91 (step @p46 :rule refl :args (@t36)) % 15.64/15.91 (step @p47 :rule cong :premises (@p46 @p45) :args (@t37)) % 15.64/15.91 (step @p48 :rule cong :premises (@p47) :args (@t39)) % 15.64/15.91 (step @p49 :rule trans :premises (@p48 @p44)) % 15.64/15.91 (step @p50 :rule cong :premises (@p49 @p42) :args (@t40)) % 15.64/15.91 (step @p51 :rule cong :premises (@p50) :args (@t41)) % 15.64/15.91 (step @p52 :rule trans :premises (@p51 @p35)) % 15.64/15.91 (step @p53 :rule cong :premises (@p52) :args (@t42)) % 15.64/15.91 (step @p54 :rule eq_resolve :premises (@p19 @p53)) % 15.64/15.91 (step @p55 :rule skolemize :premises (@p54)) % 15.64/15.91 (step @p56 :rule bool-double-not-elim :args (@t69)) % 15.64/15.91 (step @p57 :rule refl :args (@t75)) % 15.64/15.91 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t75 (not @t70)))) % 15.64/15.91 (step @p59 :rule cnf_or_neg :args (@t75 2)) % 15.64/15.91 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 15.64/15.91 (step @p61 :rule reordering :premises (@p60) :args ((or @t69 @t75))) % 15.64/15.91 (step @p62 :rule chain_m_resolution :premises (@p61 @p55) :args (@t69 @t76 @t77)) % 15.64/15.91 (step @p63 :rule instantiate :premises (@p62) :args ((@list @t79))) % 15.64/15.91 (step @p64 :rule bool-double-not-elim :args (@t73)) % 15.64/15.91 (step @p65 :rule nary_cong :premises (@p57 @p64) :args ((or @t75 (not @t74)))) % 15.64/15.91 (step @p66 :rule cnf_or_neg :args (@t75 0)) % 15.64/15.91 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 15.64/15.91 (step @p68 :rule reordering :premises (@p67) :args ((or @t73 @t75))) % 15.64/15.91 (step @p69 :rule chain_m_resolution :premises (@p68 @p55) :args (@t73 @t76 @t77)) % 15.64/15.91 (step @p70 :rule instantiate :premises (@p69) :args ((@list @t64))) % 15.64/15.91 (step @p71 :rule eq-symm :args (@t66 @t64)) % 15.64/15.91 (step @p72 :rule refl :args (@t80)) % 15.64/15.91 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t82)) % 15.64/15.91 (step @p74 :rule refl :args (@t71)) % 15.64/15.91 (step @p75 :rule cong :premises (@p74 @p73) :args (@t83)) % 15.64/15.91 (step @p76 :rule refl :args (@t17)) % 15.64/15.91 (step @p77 :rule cong :premises (@p76 @p75) :args ((=> @t17 @t83))) % 15.64/15.91 (assume-push @p192 @t17) % 15.64/15.91 (step @p79 :rule instantiate :premises (@p9) :args ((@list @t67 @t66 @t64 @t65))) % 15.64/15.91 (step-pop @p193 :rule scope :premises (@p79)) % 15.64/15.91 (step @p80 :rule process_scope :premises (@p193) :args (@t83)) % 15.64/15.91 (step @p82 :rule eq_resolve :premises (@p80 @p77)) % 15.64/15.91 (step @p83 :rule implies_elim :premises (@p82)) % 15.64/15.91 (step @p84 :rule chain_m_resolution :premises (@p83 @p9) :args (@t86 @t87 (@list @t17))) % 15.64/15.91 (step @p85 :rule bool-double-not-elim :args (@t71)) % 15.64/15.91 (step @p86 :rule nary_cong :premises (@p57 @p85) :args ((or @t75 (not @t72)))) % 15.64/15.91 (step @p87 :rule cnf_or_neg :args (@t75 1)) % 15.64/15.91 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 15.64/15.91 (step @p89 :rule reordering :premises (@p88) :args ((or @t71 @t75))) % 15.64/15.91 (step @p90 :rule chain_m_resolution :premises (@p89 @p55) :args (@t71 @t76 @t77)) % 15.64/15.91 (step @p91 :rule cnf_equiv_pos1 :args (@t86)) % 15.64/15.91 (step @p92 :rule reordering :premises (@p91) :args ((or @t72 @t85 (not @t86)))) % 15.64/15.91 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p84) :args (@t85 @t88 (@list @t71 @t86))) % 15.64/15.91 (step @p94 :rule bool-eq-true :args (@t91)) % 15.64/15.91 (step @p95 :rule absorb :args ((= (or @t92 true) true))) % 15.64/15.91 (step @p96 :rule evaluate :args ((and true true))) % 15.64/15.91 (step @p97 :rule eq-refl :args (@t65)) % 15.64/15.91 (step @p98 :rule eq-refl :args (@t64)) % 15.64/15.91 (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t93)) % 15.64/15.91 (step @p100 :rule trans :premises (@p99 @p96)) % 15.64/15.91 (step @p101 :rule refl :args (@t92)) % 15.64/15.91 (step @p102 :rule nary_cong :premises (@p101 @p100) :args (@t94)) % 15.64/15.91 (step @p103 :rule trans :premises (@p102 @p95)) % 15.64/15.91 (step @p104 :rule refl :args (@t91)) % 15.64/15.91 (step @p105 :rule cong :premises (@p104 @p103) :args (@t95)) % 15.64/15.91 (step @p106 :rule trans :premises (@p105 @p94)) % 15.64/15.91 (step @p107 :rule refl :args (@t19)) % 15.64/15.91 (step @p108 :rule cong :premises (@p107 @p106) :args ((=> @t19 @t95))) % 15.64/15.91 (assume-push @p194 @t19) % 15.64/15.91 (step @p110 :rule instantiate :premises (@p11) :args ((@list @t67 @t64 @t64 @t65 @t65))) % 15.64/15.91 (step-pop @p195 :rule scope :premises (@p110)) % 15.64/15.91 (step @p111 :rule process_scope :premises (@p195) :args (@t95)) % 15.64/15.91 (step @p113 :rule eq_resolve :premises (@p111 @p108)) % 15.64/15.91 (step @p114 :rule implies_elim :premises (@p113)) % 15.64/15.91 (step @p115 :rule chain_m_resolution :premises (@p114 @p11) :args (@t91 @t87 @t96)) % 15.64/15.91 (step @p116 :rule instantiate :premises (@p62) :args ((@list @t65))) % 15.64/15.91 (step @p117 :rule refl :args (@t97)) % 15.64/15.91 (step @p118 :rule bool-double-not-elim :args (@t98)) % 15.64/15.91 (step @p119 :rule refl :args (@t99)) % 15.64/15.91 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args ((or @t99 (not @t100) @t97))) % 15.64/15.91 (assume-push @p196 @t100) % 15.64/15.91 (assume-push @p197 @t84) % 15.64/15.91 (assume-push @p198 @t91) % 15.64/15.91 (step @p124 :rule evaluate :args ((= true false))) % 15.64/15.91 (step @p125 :rule false_intro :premises (@p116)) % 15.64/15.91 (step @p126 :rule refl :args (@t65)) % 15.64/15.91 (step @p127 :rule refl :args (@t64)) % 15.64/15.91 (step @p128 :rule cong :premises (@p197 @p126) :args (@t89)) % 15.64/15.91 (step @p129 :rule refl :args (@t67)) % 15.64/15.91 (step @p130 :rule cong :premises (@p129 @p128) :args (@t90)) % 15.64/15.91 (step @p131 :rule cong :premises (@p130 @p127 @p126) :args (@t91)) % 15.64/15.91 (step @p132 :rule true_intro :premises (@p115)) % 15.64/15.91 (step @p133 :rule symm :premises (@p132)) % 15.64/15.91 (step @p134 :rule trans :premises (@p133 @p131 @p125)) % 15.64/15.91 (step @p135 false :rule eq_resolve :premises (@p134 @p124)) % 15.64/15.91 (step-pop @p199 :rule scope :premises (@p135)) % 15.64/15.91 (step-pop @p200 :rule scope :premises (@p199)) % 15.64/15.91 (step-pop @p201 :rule scope :premises (@p200)) % 15.64/15.91 (step @p136 :rule process_scope :premises (@p201) :args (false)) % 15.64/15.91 (assume-push @p202 @t84) % 15.64/15.91 (assume-push @p203 @t100) % 15.64/15.91 (assume-push @p204 @t91) % 15.64/15.91 (step @p143 :rule and_intro :premises (@p116 @p202 @p115)) % 15.64/15.91 (step-pop @p205 :rule scope :premises (@p143)) % 15.64/15.91 (step-pop @p206 :rule scope :premises (@p205)) % 15.64/15.91 (step-pop @p207 :rule scope :premises (@p206)) % 15.64/15.91 (step @p144 :rule process_scope :premises (@p207) :args (@t101)) % 15.64/15.91 (step @p148 :rule implies_elim :premises (@p144)) % 15.64/15.91 (step @p149 :rule resolution :premises (@p148 @p136) :args (true @t101)) % 15.64/15.91 (step @p150 :rule not_and :premises (@p149)) % 15.64/15.91 (step @p151 :rule eq_resolve :premises (@p150 @p120)) % 15.64/15.91 (step @p152 :rule chain_m_resolution :premises (@p151 @p116 @p115) :args (@t99 @t102 (@list @t98 @t91))) % 15.64/15.91 (step @p153 :rule cnf_or_pos :args (@t85)) % 15.64/15.91 (step @p154 :rule reordering :premises (@p153) :args ((or @t84 @t80 (not @t85)))) % 15.64/15.91 (step @p155 :rule chain_m_resolution :premises (@p154 @p152 @p93) :args (@t80 @t102 (@list @t84 @t85))) % 15.64/15.91 (step @p156 :rule cnf_or_pos :args (@t105)) % 15.64/15.91 (step @p157 :rule reordering :premises (@p156) :args ((or @t104 @t103 (not @t105)))) % 15.64/15.91 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p70) :args (@t103 @t88 (@list @t80 @t105))) % 15.64/15.91 (step @p159 :rule refl :args (@t106)) % 15.64/15.91 (step @p160 :rule bool-double-not-elim :args (@t78)) % 15.64/15.91 (step @p161 :rule nary_cong :premises (@p160 @p159) :args ((or (not @t103) @t106))) % 15.64/15.91 (step @p162 :rule bool-double-not-elim :args (@t106)) % 15.64/15.91 (step @p163 :rule refl :args (@t103)) % 15.64/15.91 (step @p164 :rule cong :premises (@p163 @p162) :args ((=> @t103 @t108))) % 15.64/15.91 (assume-push @p208 @t103) % 15.64/15.91 (step @p166 :rule skolemize :premises (@p208)) % 15.64/15.91 (step-pop @p209 :rule scope :premises (@p166)) % 15.64/15.91 (step @p167 :rule process_scope :premises (@p209) :args (@t108)) % 15.64/15.91 (step @p169 :rule eq_resolve :premises (@p167 @p164)) % 15.64/15.91 (step @p170 :rule implies_elim :premises (@p169)) % 15.64/15.91 (step @p171 :rule eq_resolve :premises (@p170 @p161)) % 15.64/15.91 (step @p172 :rule chain_m_resolution :premises (@p171 @p158) :args (@t106 @t76 (@list @t78))) % 15.64/15.91 (step @p173 :rule cnf_or_neg :args (@t110 0)) % 15.64/15.91 (step @p174 :rule reordering :premises (@p173) :args ((or @t107 @t110))) % 15.64/15.91 (step @p175 :rule chain_m_resolution :premises (@p174 @p172) :args (@t110 @t87 (@list @t106))) % 15.64/15.91 (step @p176 :rule refl :args (@t109)) % 15.64/15.91 (step @p177 :rule nary_cong :premises (@p71 @p176) :args (@t111)) % 15.64/15.91 (step @p178 :rule nary_cong :premises (@p159 @p177) :args (@t112)) % 15.64/15.91 (step @p179 :rule refl :args (@t113)) % 15.64/15.91 (step @p180 :rule cong :premises (@p179 @p178) :args (@t114)) % 15.64/15.91 (step @p181 :rule cong :premises (@p107 @p180) :args ((=> @t19 @t114))) % 15.64/15.91 (assume-push @p210 @t19) % 15.64/15.91 (step @p183 :rule instantiate :premises (@p11) :args ((@list @t67 @t66 @t64 @t65 @t79))) % 15.64/15.91 (step-pop @p211 :rule scope :premises (@p183)) % 15.64/15.91 (step @p184 :rule process_scope :premises (@p211) :args (@t114)) % 15.64/15.91 (step @p186 :rule eq_resolve :premises (@p184 @p181)) % 15.64/15.91 (step @p187 :rule implies_elim :premises (@p186)) % 15.64/15.91 (step @p188 :rule chain_m_resolution :premises (@p187 @p11) :args (@t115 @t87 @t96)) % 15.64/15.91 (step @p189 :rule cnf_equiv_pos2 :args (@t115)) % 15.64/15.91 (step @p190 :rule reordering :premises (@p189) :args ((or @t113 (not @t110) (not @t115)))) % 15.64/15.91 (step @p191 false :rule chain_m_resolution :premises (@p190 @p188 @p175 @p63) :args (false (@list false false true) (@list @t115 @t110 @t113))) % 15.64/15.91 ) % 15.64/15.91 % SZS output end Proof % 15.64/15.91 % cvc5 exiting %------------------------------------------------------------------------------