%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT020+1 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:04:44 AM UTC 2026 % Result : Theorem 0.19s 0.53s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT020+1 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n026.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Mon Sep 7 12:03:57 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.53 % SZS status Theorem % 0.19/0.53 % SZS output start Proof % 0.19/0.53 ( % 0.19/0.53 (declare-sort $$unsorted 0) % 0.19/0.53 (declare-const tptp.start_time (-> $$unsorted $$unsorted)) % 0.19/0.53 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.19/0.53 (declare-const tptp.initial_FM_EP (-> $$unsorted $$unsorted)) % 0.19/0.53 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.19/0.53 (declare-const tptp.subpopulations (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.53 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.19/0.53 (declare-const tptp.decreases (-> $$unsorted Bool)) % 0.19/0.53 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 0.19/0.53 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.53 (declare-const tptp.first_movers $$unsorted) % 0.19/0.53 (declare-const tptp.disbanding_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.53 (declare-const tptp.efficient_producers $$unsorted) % 0.19/0.53 (define @t1 () (@var "T" $$unsorted)) % 0.19/0.53 (define @t2 () (tptp.disbanding_rate tptp.efficient_producers @t1)) % 0.19/0.53 (define @t3 () (tptp.disbanding_rate tptp.first_movers @t1)) % 0.19/0.53 (define @t4 () (tptp.decreases (tptp.difference @t3 @t2))) % 0.19/0.53 (define @t5 () (not @t4)) % 0.19/0.53 (define @t6 () (@var "E" $$unsorted)) % 0.19/0.53 (define @t7 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t6 @t1)) % 0.19/0.53 (define @t8 () (tptp.environment @t6)) % 0.19/0.53 (define @t9 () (and @t8 @t7)) % 0.19/0.53 (define @t10 () (@list @t6 @t1)) % 0.19/0.53 (define @t11 () (forall @t10 (=> @t9 @t5))) % 0.19/0.53 (define @t12 () (tptp.initial_FM_EP @t6)) % 0.19/0.53 (define @t13 () (tptp.greater_or_equal @t1 @t12)) % 0.19/0.53 (define @t14 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t6 @t12)) % 0.19/0.53 (define @t15 () (tptp.in_environment @t6 @t12)) % 0.19/0.53 (define @t16 () (and (=> @t15 @t14) (=> @t7 @t13))) % 0.19/0.53 (define @t17 () (forall @t10 (=> @t8 @t16))) % 0.19/0.53 (define @t18 () (@var "T2" $$unsorted)) % 0.19/0.53 (define @t19 () (tptp.greater (tptp.disbanding_rate tptp.first_movers @t18) (tptp.disbanding_rate tptp.efficient_producers @t18))) % 0.19/0.53 (define @t20 () (=> @t5 @t19)) % 0.19/0.53 (define @t21 () (@var "T1" $$unsorted)) % 0.19/0.53 (define @t22 () (tptp.greater (tptp.disbanding_rate tptp.first_movers @t21) (tptp.disbanding_rate tptp.efficient_producers @t21))) % 0.19/0.53 (define @t23 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t6 @t18)) % 0.19/0.53 (define @t24 () (tptp.greater_or_equal @t18 @t1)) % 0.19/0.53 (define @t25 () (tptp.greater_or_equal @t1 @t21)) % 0.19/0.53 (define @t26 () (and @t8 @t25 @t24 @t23 @t22)) % 0.19/0.53 (define @t27 () (forall (@list @t6 @t1 @t21 @t18) (=> @t26 @t20))) % 0.19/0.53 (define @t28 () (tptp.in_environment @t6 @t1)) % 0.19/0.53 (define @t29 () (forall @t10 (=> @t9 @t28))) % 0.19/0.53 (define @t30 () (tptp.start_time @t6)) % 0.19/0.53 (define @t31 () (tptp.greater_or_equal @t12 @t30)) % 0.19/0.53 (define @t32 () (@list @t6)) % 0.19/0.53 (define @t33 () (forall @t32 (=> @t8 @t31))) % 0.19/0.53 (define @t34 () (tptp.in_environment @t6 @t21)) % 0.19/0.53 (define @t35 () (tptp.in_environment @t6 @t18)) % 0.19/0.53 (define @t36 () (tptp.greater @t18 @t21)) % 0.19/0.53 (define @t37 () (tptp.greater_or_equal @t21 @t30)) % 0.19/0.53 (define @t38 () (and @t8 @t37 @t36 @t35)) % 0.19/0.53 (define @t39 () (forall (@list @t6 @t21 @t18) (=> @t38 @t34))) % 0.19/0.53 (define @t40 () (@var "Z" $$unsorted)) % 0.19/0.53 (define @t41 () (@var "X" $$unsorted)) % 0.19/0.53 (define @t42 () (@var "Y" $$unsorted)) % 0.19/0.53 (define @t43 () (tptp.greater @t41 @t42)) % 0.19/0.53 (define @t44 () (= @t41 @t42)) % 0.19/0.53 (define @t45 () (or @t43 @t44)) % 0.19/0.53 (define @t46 () (tptp.greater_or_equal @t41 @t42)) % 0.19/0.53 (define @t47 () (forall (@list @t41 @t42) (=> @t46 @t45))) % 0.19/0.53 (define @t48 () (tptp.greater (tptp.disbanding_rate tptp.first_movers @t12) (tptp.disbanding_rate tptp.efficient_producers @t12))) % 0.19/0.53 (define @t49 () (forall @t32 (=> @t8 @t48))) % 0.19/0.53 (define @t50 () (tptp.greater @t3 @t2)) % 0.19/0.53 (define @t51 () (forall @t10 (=> @t9 @t50))) % 0.19/0.53 (define @t52 () (not @t51)) % 0.19/0.53 (define @t53 () (not @t7)) % 0.19/0.53 (define @t54 () (not @t8)) % 0.19/0.53 (define @t55 () (or @t54 @t53 @t5)) % 0.19/0.53 (define @t56 () (or @t54 @t53)) % 0.19/0.53 (define @t57 () (not @t9)) % 0.19/0.53 (define @t58 () (not @t22)) % 0.19/0.53 (define @t59 () (not @t23)) % 0.19/0.53 (define @t60 () (not @t24)) % 0.19/0.53 (define @t61 () (not @t25)) % 0.19/0.53 (define @t62 () (or @t54 @t61 @t60 @t59 @t58)) % 0.19/0.53 (define @t63 () (or @t54 @t53 @t50)) % 0.19/0.53 (define @t64 () (forall @t10 @t63)) % 0.19/0.53 (define @t65 () (@quantifiers_skolemize @t64 1)) % 0.19/0.53 (define @t66 () (@quantifiers_skolemize @t64 0)) % 0.19/0.53 (define @t67 () (tptp.initial_FM_EP @t66)) % 0.19/0.53 (define @t68 () (@list @t66 @t67)) % 0.19/0.53 (define @t69 () (tptp.environment @t66)) % 0.19/0.53 (define @t70 () (tptp.greater (tptp.disbanding_rate tptp.first_movers @t65) (tptp.disbanding_rate tptp.efficient_producers @t65))) % 0.19/0.53 (define @t71 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t66 @t65)) % 0.19/0.53 (define @t72 () (not @t71)) % 0.19/0.53 (define @t73 () (not @t69)) % 0.19/0.53 (define @t74 () (or @t73 @t72 @t70)) % 0.19/0.53 (define @t75 () (@list true)) % 0.19/0.53 (define @t76 () (@list @t74)) % 0.19/0.53 (define @t77 () (tptp.greater_or_equal @t67 @t67)) % 0.19/0.53 (define @t78 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t66 @t67)) % 0.19/0.53 (define @t79 () (not @t78)) % 0.19/0.53 (define @t80 () (or @t79 @t77)) % 0.19/0.53 (define @t81 () (tptp.in_environment @t66 @t67)) % 0.19/0.53 (define @t82 () (not @t81)) % 0.19/0.53 (define @t83 () (or @t82 @t78)) % 0.19/0.53 (define @t84 () (and @t83 @t80)) % 0.19/0.53 (define @t85 () (or @t73 @t84)) % 0.19/0.53 (define @t86 () (@list false false)) % 0.19/0.53 (define @t87 () (@list false)) % 0.19/0.53 (define @t88 () (@list @t66 @t65)) % 0.19/0.53 (define @t89 () (tptp.greater_or_equal @t65 @t67)) % 0.19/0.53 (define @t90 () (or @t72 @t89)) % 0.19/0.53 (define @t91 () (and @t83 @t90)) % 0.19/0.53 (define @t92 () (or @t73 @t91)) % 0.19/0.53 (define @t93 () (not @t91)) % 0.19/0.53 (define @t94 () (@list @t91)) % 0.19/0.53 (define @t95 () (tptp.in_environment @t66 @t65)) % 0.19/0.53 (define @t96 () (or @t73 @t72 @t95)) % 0.19/0.53 (define @t97 () (@list false false false)) % 0.19/0.53 (define @t98 () (@list @t66)) % 0.19/0.53 (define @t99 () (tptp.greater_or_equal @t67 (tptp.start_time @t66))) % 0.19/0.53 (define @t100 () (or @t73 @t99)) % 0.19/0.53 (define @t101 () (not @t35)) % 0.19/0.53 (define @t102 () (not @t36)) % 0.19/0.53 (define @t103 () (not @t37)) % 0.19/0.53 (define @t104 () (or @t54 @t103 @t102 @t101)) % 0.19/0.53 (define @t105 () (not @t95)) % 0.19/0.53 (define @t106 () (tptp.greater @t65 @t67)) % 0.19/0.53 (define @t107 () (not @t106)) % 0.19/0.53 (define @t108 () (not @t99)) % 0.19/0.53 (define @t109 () (or @t73 @t108 @t107 @t105 @t81)) % 0.19/0.53 (define @t110 () (not @t46)) % 0.19/0.53 (define @t111 () (= @t65 @t67)) % 0.19/0.53 (define @t112 () (not @t89)) % 0.19/0.53 (define @t113 () (or @t112 @t106 @t111)) % 0.19/0.53 (define @t114 () (not @t111)) % 0.19/0.53 (define @t115 () (and @t95 @t111 @t82)) % 0.19/0.53 (define @t116 () (tptp.disbanding_rate tptp.efficient_producers @t67)) % 0.19/0.53 (define @t117 () (tptp.disbanding_rate tptp.first_movers @t67)) % 0.19/0.53 (define @t118 () (tptp.greater @t117 @t116)) % 0.19/0.53 (define @t119 () (or @t73 @t118)) % 0.19/0.53 (define @t120 () (tptp.decreases (tptp.difference @t117 @t116))) % 0.19/0.53 (define @t121 () (not @t118)) % 0.19/0.53 (define @t122 () (not @t77)) % 0.19/0.53 (define @t123 () (or @t73 @t122 @t112 @t72 @t121 @t120 @t70)) % 0.19/0.53 (define @t124 () (not @t120)) % 0.19/0.53 (define @t125 () (or @t73 @t79 @t124)) % 0.19/0.53 (define @t126 () (not @t125)) % 0.19/0.53 (define @t127 () (forall @t10 @t55)) % 0.19/0.53 (assume @p1 @t11) % 0.19/0.53 (assume @p2 @t17) % 0.19/0.53 (assume @p3 @t27) % 0.19/0.53 (assume @p4 @t29) % 0.19/0.53 (assume @p5 @t33) % 0.19/0.53 (assume @p6 @t39) % 0.19/0.53 (assume @p7 (forall (@list @t41 @t42 @t40) (=> (and @t43 (tptp.greater @t42 @t40)) (tptp.greater @t41 @t40)))) % 0.19/0.53 (assume @p8 @t47) % 0.19/0.53 (assume @p9 @t49) % 0.19/0.53 (assume @p10 (forall (@list @t6 @t21 @t18 @t1) (=> (and @t8 (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t6 @t21) @t23 @t25 @t24) @t7))) % 0.19/0.53 (assume @p11 @t52) % 0.19/0.53 (assume @p12 true) % 0.19/0.53 (step @p13 :rule aci_norm :args ((= (or @t56 @t5) @t55))) % 0.19/0.53 (step @p14 :rule refl :args (@t5)) % 0.19/0.53 (step @p15 :rule bool-and-de-morgan :args (@t8 @t7 true)) % 0.19/0.53 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((or @t57 @t5))) % 0.19/0.53 (step @p17 :rule trans :premises (@p16 @p13)) % 0.19/0.53 (step @p18 :rule bool-impl-elim :args (@t9 @t5)) % 0.19/0.53 (step @p19 :rule trans :premises (@p18 @p17)) % 0.19/0.53 (step @p20 :rule cong :premises (@p19) :args (@t11)) % 0.19/0.53 (step @p21 :rule eq_resolve :premises (@p1 @p20)) % 0.19/0.53 (step @p22 :rule aci_norm :args ((= (or @t62 (or @t4 @t19)) (or @t54 @t61 @t60 @t59 @t58 @t4 @t19)))) % 0.19/0.53 (step @p23 :rule refl :args (@t19)) % 0.19/0.53 (step @p24 :rule bool-double-not-elim :args (@t4)) % 0.19/0.53 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or (not @t5) @t19))) % 0.19/0.53 (step @p26 :rule bool-impl-elim :args (@t5 @t19)) % 0.19/0.53 (step @p27 :rule trans :premises (@p26 @p25)) % 0.19/0.53 (step @p28 :rule aci_norm :args ((= (or @t54 (or @t61 (or @t60 (or @t59 @t58)))) @t62))) % 0.19/0.53 (step @p29 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 0.19/0.53 (step @p30 :rule refl :args (@t60)) % 0.19/0.53 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t60 (not (and @t23 @t22))))) % 0.19/0.53 (step @p32 :rule bool-and-de-morgan :args (@t24 @t23 (and @t22))) % 0.19/0.53 (step @p33 :rule trans :premises (@p32 @p31)) % 0.19/0.53 (step @p34 :rule refl :args (@t61)) % 0.19/0.53 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t61 (not (and @t24 @t23 @t22))))) % 0.19/0.53 (step @p36 :rule bool-and-de-morgan :args (@t25 @t24 (and @t23 @t22))) % 0.19/0.53 (step @p37 :rule trans :premises (@p36 @p35)) % 0.19/0.53 (step @p38 :rule refl :args (@t54)) % 0.19/0.53 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t54 (not (and @t25 @t24 @t23 @t22))))) % 0.19/0.53 (step @p40 :rule bool-and-de-morgan :args (@t8 @t25 (and @t24 @t23 @t22))) % 0.19/0.53 (step @p41 :rule trans :premises (@p40 @p39)) % 0.19/0.53 (step @p42 :rule trans :premises (@p41 @p28)) % 0.19/0.53 (step @p43 :rule nary_cong :premises (@p42 @p27) :args ((or (not @t26) @t20))) % 0.19/0.53 (step @p44 :rule trans :premises (@p43 @p22)) % 0.19/0.53 (step @p45 :rule bool-impl-elim :args (@t26 @t20)) % 0.19/0.53 (step @p46 :rule trans :premises (@p45 @p44)) % 0.19/0.53 (step @p47 :rule cong :premises (@p46) :args (@t27)) % 0.19/0.53 (step @p48 :rule eq_resolve :premises (@p3 @p47)) % 0.19/0.53 (step @p49 :rule instantiate :premises (@p48) :args ((@list @t66 @t67 @t67 @t65))) % 0.19/0.53 (step @p50 :rule bool-impl-elim :args (@t7 @t13)) % 0.19/0.53 (step @p51 :rule bool-impl-elim :args (@t15 @t14)) % 0.19/0.53 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t16)) % 0.19/0.53 (step @p53 :rule nary_cong :premises (@p38 @p52) :args ((or @t54 @t16))) % 0.19/0.53 (step @p54 :rule bool-impl-elim :args (@t8 @t16)) % 0.19/0.53 (step @p55 :rule trans :premises (@p54 @p53)) % 0.19/0.53 (step @p56 :rule cong :premises (@p55) :args (@t17)) % 0.19/0.53 (step @p57 :rule eq_resolve :premises (@p2 @p56)) % 0.19/0.53 (step @p58 :rule instantiate :premises (@p57) :args (@t68)) % 0.19/0.53 (step @p59 :rule aci_norm :args ((= (or @t56 @t50) @t63))) % 0.19/0.53 (step @p60 :rule refl :args (@t50)) % 0.19/0.53 (step @p61 :rule nary_cong :premises (@p15 @p60) :args ((or @t57 @t50))) % 0.19/0.53 (step @p62 :rule trans :premises (@p61 @p59)) % 0.19/0.53 (step @p63 :rule bool-impl-elim :args (@t9 @t50)) % 0.19/0.53 (step @p64 :rule trans :premises (@p63 @p62)) % 0.19/0.53 (step @p65 :rule cong :premises (@p64) :args (@t51)) % 0.19/0.53 (step @p66 :rule cong :premises (@p65) :args (@t52)) % 0.19/0.53 (step @p67 :rule eq_resolve :premises (@p11 @p66)) % 0.19/0.53 (step @p68 :rule skolemize :premises (@p67)) % 0.19/0.53 (step @p69 :rule bool-double-not-elim :args (@t69)) % 0.19/0.53 (step @p70 :rule refl :args (@t74)) % 0.19/0.53 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t74 (not @t73)))) % 0.19/0.53 (step @p72 :rule cnf_or_neg :args (@t74 0)) % 0.19/0.53 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.19/0.53 (step @p74 :rule reordering :premises (@p73) :args ((or @t69 @t74))) % 0.19/0.53 (step @p75 :rule chain_m_resolution :premises (@p74 @p68) :args (@t69 @t75 @t76)) % 0.19/0.53 (step @p76 :rule cnf_or_pos :args (@t85)) % 0.19/0.53 (step @p77 :rule reordering :premises (@p76) :args ((or @t73 @t84 (not @t85)))) % 0.19/0.53 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p58) :args (@t84 @t86 (@list @t69 @t85))) % 0.19/0.53 (step @p79 :rule cnf_and_pos :args (@t84 1)) % 0.19/0.53 (step @p80 :rule reordering :premises (@p79) :args ((or @t80 (not @t84)))) % 0.19/0.53 (step @p81 :rule chain_m_resolution :premises (@p80 @p78) :args (@t80 @t87 (@list @t84))) % 0.19/0.53 (step @p82 :rule instantiate :premises (@p57) :args (@t88)) % 0.19/0.53 (step @p83 :rule cnf_or_pos :args (@t92)) % 0.19/0.53 (step @p84 :rule reordering :premises (@p83) :args ((or @t73 @t91 (not @t92)))) % 0.19/0.53 (step @p85 :rule chain_m_resolution :premises (@p84 @p75 @p82) :args (@t91 @t86 (@list @t69 @t92))) % 0.19/0.53 (step @p86 :rule cnf_and_pos :args (@t91 0)) % 0.19/0.53 (step @p87 :rule reordering :premises (@p86) :args ((or @t83 @t93))) % 0.19/0.53 (step @p88 :rule chain_m_resolution :premises (@p87 @p85) :args (@t83 @t87 @t94)) % 0.19/0.53 (step @p89 :rule aci_norm :args ((= (or @t56 @t28) (or @t54 @t53 @t28)))) % 0.19/0.53 (step @p90 :rule refl :args (@t28)) % 0.19/0.53 (step @p91 :rule nary_cong :premises (@p15 @p90) :args ((or @t57 @t28))) % 0.19/0.53 (step @p92 :rule trans :premises (@p91 @p89)) % 0.19/0.53 (step @p93 :rule bool-impl-elim :args (@t9 @t28)) % 0.19/0.53 (step @p94 :rule trans :premises (@p93 @p92)) % 0.19/0.53 (step @p95 :rule cong :premises (@p94) :args (@t29)) % 0.19/0.53 (step @p96 :rule eq_resolve :premises (@p4 @p95)) % 0.19/0.53 (step @p97 :rule instantiate :premises (@p96) :args (@t88)) % 0.19/0.53 (step @p98 :rule bool-double-not-elim :args (@t71)) % 0.19/0.53 (step @p99 :rule nary_cong :premises (@p70 @p98) :args ((or @t74 (not @t72)))) % 0.19/0.53 (step @p100 :rule cnf_or_neg :args (@t74 1)) % 0.19/0.53 (step @p101 :rule eq_resolve :premises (@p100 @p99)) % 0.19/0.53 (step @p102 :rule reordering :premises (@p101) :args ((or @t71 @t74))) % 0.19/0.53 (step @p103 :rule chain_m_resolution :premises (@p102 @p68) :args (@t71 @t75 @t76)) % 0.19/0.53 (step @p104 :rule cnf_or_pos :args (@t96)) % 0.19/0.53 (step @p105 :rule reordering :premises (@p104) :args ((or @t73 @t72 @t95 (not @t96)))) % 0.19/0.53 (step @p106 :rule chain_m_resolution :premises (@p105 @p75 @p103 @p97) :args (@t95 @t97 (@list @t69 @t71 @t96))) % 0.19/0.53 (step @p107 :rule bool-impl-elim :args (@t8 @t31)) % 0.19/0.53 (step @p108 :rule cong :premises (@p107) :args (@t33)) % 0.19/0.53 (step @p109 :rule eq_resolve :premises (@p5 @p108)) % 0.19/0.53 (step @p110 :rule instantiate :premises (@p109) :args (@t98)) % 0.19/0.53 (step @p111 :rule cnf_or_pos :args (@t100)) % 0.19/0.53 (step @p112 :rule reordering :premises (@p111) :args ((or @t73 @t99 (not @t100)))) % 0.19/0.53 (step @p113 :rule chain_m_resolution :premises (@p112 @p75 @p110) :args (@t99 @t86 (@list @t69 @t100))) % 0.19/0.53 (step @p114 :rule aci_norm :args ((= (or @t104 @t34) (or @t54 @t103 @t102 @t101 @t34)))) % 0.19/0.53 (step @p115 :rule refl :args (@t34)) % 0.19/0.53 (step @p116 :rule aci_norm :args ((= (or @t54 (or @t103 (or @t102 @t101))) @t104))) % 0.19/0.53 (step @p117 :rule bool-and-de-morgan :args (@t36 @t35 true)) % 0.19/0.53 (step @p118 :rule refl :args (@t103)) % 0.19/0.53 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or @t103 (not (and @t36 @t35))))) % 0.19/0.53 (step @p120 :rule bool-and-de-morgan :args (@t37 @t36 (and @t35))) % 0.19/0.53 (step @p121 :rule trans :premises (@p120 @p119)) % 0.19/0.53 (step @p122 :rule nary_cong :premises (@p38 @p121) :args ((or @t54 (not (and @t37 @t36 @t35))))) % 0.19/0.53 (step @p123 :rule bool-and-de-morgan :args (@t8 @t37 (and @t36 @t35))) % 0.19/0.53 (step @p124 :rule trans :premises (@p123 @p122)) % 0.19/0.53 (step @p125 :rule trans :premises (@p124 @p116)) % 0.19/0.53 (step @p126 :rule nary_cong :premises (@p125 @p115) :args ((or (not @t38) @t34))) % 0.19/0.53 (step @p127 :rule trans :premises (@p126 @p114)) % 0.19/0.53 (step @p128 :rule bool-impl-elim :args (@t38 @t34)) % 0.19/0.53 (step @p129 :rule trans :premises (@p128 @p127)) % 0.19/0.53 (step @p130 :rule cong :premises (@p129) :args (@t39)) % 0.19/0.53 (step @p131 :rule eq_resolve :premises (@p6 @p130)) % 0.19/0.53 (step @p132 :rule instantiate :premises (@p131) :args ((@list @t66 @t67 @t65))) % 0.19/0.53 (step @p133 :rule cnf_or_pos :args (@t109)) % 0.19/0.53 (step @p134 :rule reordering :premises (@p133) :args ((or @t73 @t81 @t105 @t108 @t107 (not @t109)))) % 0.19/0.53 (step @p135 :rule cnf_and_pos :args (@t91 1)) % 0.19/0.53 (step @p136 :rule reordering :premises (@p135) :args ((or @t90 @t93))) % 0.19/0.53 (step @p137 :rule chain_m_resolution :premises (@p136 @p85) :args (@t90 @t87 @t94)) % 0.19/0.53 (step @p138 :rule cnf_or_pos :args (@t90)) % 0.19/0.53 (step @p139 :rule reordering :premises (@p138) :args ((or @t72 @t89 (not @t90)))) % 0.19/0.53 (step @p140 :rule chain_m_resolution :premises (@p139 @p103 @p137) :args (@t89 @t86 (@list @t71 @t90))) % 0.19/0.53 (step @p141 :rule aci_norm :args ((= (or @t110 @t45) (or @t110 @t43 @t44)))) % 0.19/0.53 (step @p142 :rule bool-impl-elim :args (@t46 @t45)) % 0.19/0.53 (step @p143 :rule trans :premises (@p142 @p141)) % 0.19/0.53 (step @p144 :rule cong :premises (@p143) :args (@t47)) % 0.19/0.53 (step @p145 :rule eq_resolve :premises (@p8 @p144)) % 0.19/0.53 (step @p146 :rule instantiate :premises (@p145) :args ((@list @t65 @t67))) % 0.19/0.53 (step @p147 :rule cnf_or_pos :args (@t113)) % 0.19/0.53 (step @p148 :rule reordering :premises (@p147) :args ((or @t112 @t106 @t111 (not @t113)))) % 0.19/0.53 (step @p149 :rule refl :args (@t114)) % 0.19/0.53 (step @p150 :rule refl :args (@t105)) % 0.19/0.53 (step @p151 :rule bool-double-not-elim :args (@t81)) % 0.19/0.53 (step @p152 :rule nary_cong :premises (@p151 @p150 @p149) :args ((or (not @t82) @t105 @t114))) % 0.19/0.53 (assume-push @p209 @t95) % 0.19/0.53 (assume-push @p210 @t111) % 0.19/0.53 (assume-push @p211 @t82) % 0.19/0.53 (step @p156 :rule evaluate :args ((= false true))) % 0.19/0.53 (step @p157 :rule true_intro :premises (@p106)) % 0.19/0.53 (step @p158 :rule symm :premises (@p210)) % 0.19/0.53 (step @p159 :rule refl :args (@t66)) % 0.19/0.53 (step @p160 :rule cong :premises (@p159 @p158) :args (@t81)) % 0.19/0.53 (step @p161 :rule false_intro :premises (@p211)) % 0.19/0.53 (step @p162 :rule symm :premises (@p161)) % 0.19/0.53 (step @p163 :rule trans :premises (@p162 @p160 @p157)) % 0.19/0.53 (step @p164 false :rule eq_resolve :premises (@p163 @p156)) % 0.19/0.53 (step-pop @p212 :rule scope :premises (@p164)) % 0.19/0.53 (step-pop @p213 :rule scope :premises (@p212)) % 0.19/0.53 (step-pop @p214 :rule scope :premises (@p213)) % 0.19/0.53 (step @p165 :rule process_scope :premises (@p214) :args (false)) % 0.19/0.53 (assume-push @p215 @t82) % 0.19/0.53 (assume-push @p216 @t95) % 0.19/0.53 (assume-push @p217 @t111) % 0.19/0.53 (step @p172 :rule and_intro :premises (@p106 @p217 @p215)) % 0.19/0.53 (step-pop @p218 :rule scope :premises (@p172)) % 0.19/0.53 (step-pop @p219 :rule scope :premises (@p218)) % 0.19/0.53 (step-pop @p220 :rule scope :premises (@p219)) % 0.19/0.53 (step @p173 :rule process_scope :premises (@p220) :args (@t115)) % 0.19/0.53 (step @p177 :rule implies_elim :premises (@p173)) % 0.19/0.53 (step @p178 :rule resolution :premises (@p177 @p165) :args (true @t115)) % 0.19/0.53 (step @p179 :rule not_and :premises (@p178)) % 0.19/0.53 (step @p180 :rule eq_resolve :premises (@p179 @p152)) % 0.19/0.53 (step @p181 :rule chain_m_resolution :premises (@p180 @p106 @p148 @p146 @p140 @p134 @p132 @p113 @p106 @p75) :args (@t81 (@list false false false false true false false false false) (@list @t95 @t111 @t113 @t89 @t106 @t109 @t99 @t95 @t69))) % 0.19/0.53 (step @p182 :rule cnf_or_pos :args (@t83)) % 0.19/0.53 (step @p183 :rule reordering :premises (@p182) :args ((or @t82 @t78 (not @t83)))) % 0.19/0.53 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p88) :args (@t78 @t86 (@list @t81 @t83))) % 0.19/0.53 (step @p185 :rule cnf_or_pos :args (@t80)) % 0.19/0.53 (step @p186 :rule reordering :premises (@p185) :args ((or @t79 @t77 (not @t80)))) % 0.19/0.53 (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p81) :args (@t77 @t86 (@list @t78 @t80))) % 0.19/0.53 (step @p188 :rule bool-impl-elim :args (@t8 @t48)) % 0.19/0.53 (step @p189 :rule cong :premises (@p188) :args (@t49)) % 0.19/0.53 (step @p190 :rule eq_resolve :premises (@p9 @p189)) % 0.19/0.53 (step @p191 :rule instantiate :premises (@p190) :args (@t98)) % 0.19/0.53 (step @p192 :rule cnf_or_pos :args (@t119)) % 0.19/0.53 (step @p193 :rule reordering :premises (@p192) :args ((or @t73 @t118 (not @t119)))) % 0.19/0.53 (step @p194 :rule chain_m_resolution :premises (@p193 @p75 @p191) :args (@t118 @t86 (@list @t69 @t119))) % 0.19/0.53 (step @p195 :rule cnf_or_neg :args (@t74 2)) % 0.19/0.53 (step @p196 :rule chain_m_resolution :premises (@p195 @p68) :args ((not @t70) @t75 @t76)) % 0.19/0.53 (step @p197 :rule cnf_or_pos :args (@t123)) % 0.19/0.53 (step @p198 :rule reordering :premises (@p197) :args ((or @t73 @t72 @t70 @t112 @t121 @t120 @t122 (not @t123)))) % 0.19/0.53 (step @p199 :rule chain_m_resolution :premises (@p198 @p75 @p103 @p196 @p140 @p194 @p187 @p49) :args (@t120 (@list false false true false false false false) (@list @t69 @t71 @t70 @t89 @t118 @t77 @t123))) % 0.19/0.53 (step @p200 :rule cnf_or_pos :args (@t125)) % 0.19/0.53 (step @p201 :rule reordering :premises (@p200) :args ((or @t73 @t79 @t124 @t126))) % 0.19/0.53 (step @p202 :rule chain_m_resolution :premises (@p201 @p75 @p184 @p199) :args (@t126 @t97 (@list @t69 @t78 @t120))) % 0.19/0.53 (assume-push @p221 @t127) % 0.19/0.53 (step @p204 :rule instantiate :premises (@p21) :args (@t68)) % 0.19/0.53 (step-pop @p222 :rule scope :premises (@p204)) % 0.19/0.53 (step @p205 :rule process_scope :premises (@p222) :args (@t125)) % 0.19/0.53 (step @p207 :rule implies_elim :premises (@p205)) % 0.19/0.53 (step @p208 false :rule chain_m_resolution :premises (@p207 @p202 @p21) :args (false (@list true false) (@list @t125 @t127))) % 0.19/0.53 ) % 0.19/0.53 % SZS output end Proof % 0.19/0.53 % cvc5 exiting %------------------------------------------------------------------------------