%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT027-1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 06:04:45 AM UTC 2026 % Result : Unsatisfiable 0.19s 0.53s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT027-1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.03/0.36 % Computer : n020.cluster.edu % 0.03/0.36 % Model : x86_64 x86_64 % 0.03/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.03/0.36 % Memory : 8046.5625MB % 0.03/0.36 % OS : Linux 6.8.0-71-generic % 0.03/0.36 % CPULimit : 300 % 0.03/0.36 % WCLimit : 300 % 0.03/0.36 % DateTime : Mon Sep 7 12:15:13 UTC 2026 % 0.03/0.36 % CPUTime : % 0.03/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.03/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.53 % SZS status Unsatisfiable % 0.19/0.53 % SZS output start Proof % 0.19/0.53 ( % 0.19/0.53 (declare-sort $$unsorted 0) % 0.19/0.53 (declare-const tptp.sk3 $$unsorted) % 0.19/0.53 (declare-const tptp.sk2 (-> $$unsorted $$unsorted)) % 0.19/0.53 (declare-const tptp.first_movers $$unsorted) % 0.19/0.53 (declare-const tptp.contracts_from (-> $$unsorted $$unsorted Bool)) % 0.19/0.53 (declare-const tptp.zero $$unsorted) % 0.19/0.53 (declare-const tptp.appear (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.53 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.19/0.53 (declare-const tptp.sk1 (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.53 (declare-const tptp.cardinality_at_time (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.53 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.19/0.53 (declare-const tptp.subpopulations (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.53 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 0.19/0.53 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.19/0.53 (declare-const tptp.growth_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.53 (declare-const tptp.stable (-> $$unsorted Bool)) % 0.19/0.53 (declare-const tptp.efficient_producers $$unsorted) % 0.19/0.53 (define @t1 () (@var "B" $$unsorted)) % 0.19/0.53 (define @t2 () (tptp.contracts_from @t1 tptp.first_movers)) % 0.19/0.53 (define @t3 () (@var "A" $$unsorted)) % 0.19/0.53 (define @t4 () (tptp.sk1 @t1 @t3)) % 0.19/0.53 (define @t5 () (not (tptp.in_environment @t3 @t1))) % 0.19/0.53 (define @t6 () (not (tptp.stable @t3))) % 0.19/0.53 (define @t7 () (not (tptp.environment @t3))) % 0.19/0.53 (define @t8 () (@list @t3 @t1)) % 0.19/0.53 (define @t9 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t3 @t1)) % 0.19/0.53 (define @t10 () (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers @t1) tptp.zero)) % 0.19/0.53 (define @t11 () (@var "C" $$unsorted)) % 0.19/0.53 (define @t12 () (@list @t3 @t1 @t11)) % 0.19/0.53 (define @t13 () (tptp.appear tptp.efficient_producers @t3)) % 0.19/0.53 (define @t14 () (@list @t3)) % 0.19/0.53 (define @t15 () (tptp.greater @t3 @t1)) % 0.19/0.53 (define @t16 () (not @t15)) % 0.19/0.53 (define @t17 () (forall @t12 (or @t16 (not (tptp.greater @t1 @t11)) (tptp.greater @t3 @t11)))) % 0.19/0.53 (define @t18 () (= @t3 @t1)) % 0.19/0.53 (define @t19 () (tptp.greater_or_equal @t3 @t1)) % 0.19/0.53 (define @t20 () (forall @t8 (or (not @t19) @t15 @t18))) % 0.19/0.53 (define @t21 () (tptp.sk2 @t3)) % 0.19/0.53 (define @t22 () (tptp.environment tptp.sk3)) % 0.19/0.53 (define @t23 () (tptp.stable tptp.sk3)) % 0.19/0.53 (define @t24 () (tptp.appear tptp.efficient_producers tptp.sk3)) % 0.19/0.53 (define @t25 () (tptp.sk2 tptp.sk3)) % 0.19/0.53 (define @t26 () (tptp.sk1 @t25 tptp.sk3)) % 0.19/0.53 (define @t27 () (@list tptp.sk3 @t26)) % 0.19/0.53 (define @t28 () (@list tptp.sk3)) % 0.19/0.53 (define @t29 () (tptp.greater @t25 @t24)) % 0.19/0.53 (define @t30 () (not @t23)) % 0.19/0.53 (define @t31 () (not @t22)) % 0.19/0.53 (define @t32 () (or @t31 @t30 @t29)) % 0.19/0.53 (define @t33 () (@list false false false)) % 0.19/0.53 (define @t34 () (tptp.in_environment tptp.sk3 @t24)) % 0.19/0.53 (define @t35 () (or @t31 @t30 @t34)) % 0.19/0.53 (define @t36 () (tptp.in_environment tptp.sk3 @t25)) % 0.19/0.53 (define @t37 () (not @t29)) % 0.19/0.53 (define @t38 () (not @t34)) % 0.19/0.53 (define @t39 () (or @t31 @t30 @t38 @t37 @t36)) % 0.19/0.53 (define @t40 () (tptp.in_environment tptp.sk3 @t26)) % 0.19/0.53 (define @t41 () (tptp.greater @t26 @t25)) % 0.19/0.53 (define @t42 () (not @t41)) % 0.19/0.53 (define @t43 () (not @t36)) % 0.19/0.53 (define @t44 () (or @t31 @t30 @t43 @t42 @t40)) % 0.19/0.53 (define @t45 () (@list tptp.sk3 @t25)) % 0.19/0.53 (define @t46 () (tptp.contracts_from @t25 tptp.first_movers)) % 0.19/0.53 (define @t47 () (not @t46)) % 0.19/0.53 (define @t48 () (or @t37 @t47)) % 0.19/0.53 (define @t49 () (@list false false)) % 0.19/0.53 (define @t50 () (tptp.greater_or_equal @t26 @t25)) % 0.19/0.53 (define @t51 () (or @t31 @t30 @t43 @t50 @t46)) % 0.19/0.53 (define @t52 () (@list false false true false false)) % 0.19/0.53 (define @t53 () (not @t50)) % 0.19/0.53 (define @t54 () (or @t53 @t41 (= @t26 @t25))) % 0.19/0.53 (define @t55 () (= @t25 @t26)) % 0.19/0.53 (define @t56 () (or @t53 @t41 @t55)) % 0.19/0.53 (define @t57 () (not @t55)) % 0.19/0.53 (define @t58 () (not @t40)) % 0.19/0.53 (define @t59 () (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers @t26))) % 0.19/0.53 (define @t60 () (not @t59)) % 0.19/0.53 (define @t61 () (or @t31 @t30 @t43 @t60 @t46)) % 0.19/0.53 (define @t62 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk3 @t26)) % 0.19/0.53 (define @t63 () (not @t62)) % 0.19/0.53 (define @t64 () (or @t31 @t30 @t63 @t53 @t59)) % 0.19/0.53 (define @t65 () (tptp.greater (tptp.cardinality_at_time tptp.first_movers @t26) tptp.zero)) % 0.19/0.53 (define @t66 () (or @t31 @t30 @t43 @t65 @t46)) % 0.19/0.53 (define @t67 () (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers @t26) tptp.zero)) % 0.19/0.53 (define @t68 () (not @t67)) % 0.19/0.53 (define @t69 () (not @t65)) % 0.19/0.53 (define @t70 () (or @t31 @t58 @t69 @t68 @t62)) % 0.19/0.53 (define @t71 () (tptp.greater_or_equal @t26 @t24)) % 0.19/0.53 (define @t72 () (not @t71)) % 0.19/0.53 (define @t73 () (or @t31 @t58 @t72 @t67)) % 0.19/0.53 (define @t74 () (tptp.greater @t26 @t24)) % 0.19/0.53 (define @t75 () (not @t74)) % 0.19/0.53 (define @t76 () (or @t75 @t71)) % 0.19/0.53 (define @t77 () (@list true false)) % 0.19/0.53 (define @t78 () (tptp.greater_or_equal @t25 @t24)) % 0.19/0.53 (define @t79 () (or @t37 @t78)) % 0.19/0.53 (define @t80 () (tptp.cardinality_at_time tptp.efficient_producers @t25)) % 0.19/0.53 (define @t81 () (tptp.greater @t80 tptp.zero)) % 0.19/0.53 (define @t82 () (not @t78)) % 0.19/0.53 (define @t83 () (or @t31 @t43 @t82 @t81)) % 0.19/0.53 (define @t84 () (not @t81)) % 0.19/0.53 (define @t85 () (and @t68 @t55 @t81)) % 0.19/0.53 (define @t86 () (or @t42 @t37 @t74)) % 0.19/0.53 (define @t87 () (not @t86)) % 0.19/0.53 (assume @p1 (forall @t8 (or @t7 @t6 @t5 (tptp.greater (tptp.cardinality_at_time tptp.first_movers @t4) tptp.zero) @t2))) % 0.19/0.53 (assume @p2 (forall @t8 (or @t7 @t6 @t5 (tptp.greater_or_equal @t4 @t1) @t2))) % 0.19/0.53 (assume @p3 (forall @t8 (or @t7 @t6 @t5 (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers @t4))) @t2))) % 0.19/0.53 (assume @p4 (forall @t8 (or @t7 @t5 (not (tptp.greater (tptp.cardinality_at_time tptp.first_movers @t1) tptp.zero)) (not @t10) @t9))) % 0.19/0.53 (assume @p5 (forall @t12 (or @t7 @t6 @t5 (not (tptp.greater @t11 @t1)) (tptp.in_environment @t3 @t11)))) % 0.19/0.53 (assume @p6 (forall @t14 (or @t7 @t6 (tptp.in_environment @t3 @t13)))) % 0.19/0.53 (assume @p7 @t17) % 0.19/0.53 (assume @p8 @t20) % 0.19/0.53 (assume @p9 (forall @t8 (or @t16 @t19))) % 0.19/0.53 (assume @p10 (forall @t8 (or (not @t18) @t19))) % 0.19/0.53 (assume @p11 (forall @t8 (or @t7 @t5 (not (tptp.greater_or_equal @t1 @t13)) @t10))) % 0.19/0.53 (assume @p12 (forall @t14 (or @t7 @t6 (tptp.greater @t21 @t13)))) % 0.19/0.53 (assume @p13 (forall @t8 (or @t7 @t6 (not @t9) (not (tptp.greater_or_equal @t1 @t21)) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers @t1))))) % 0.19/0.53 (assume @p14 @t22) % 0.19/0.53 (assume @p15 @t23) % 0.19/0.53 (assume @p16 (forall @t14 (or (not (tptp.greater @t3 @t24)) (not (tptp.contracts_from @t3 tptp.first_movers))))) % 0.19/0.53 (step @p17 :rule instantiate :premises (@p9) :args ((@list @t26 @t24))) % 0.19/0.53 (step @p18 :rule instantiate :premises (@p11) :args (@t27)) % 0.19/0.53 (step @p19 :rule instantiate :premises (@p4) :args (@t27)) % 0.19/0.53 (step @p20 :rule instantiate :premises (@p5) :args ((@list tptp.sk3 @t24 @t25))) % 0.19/0.53 (step @p21 :rule instantiate :premises (@p12) :args (@t28)) % 0.19/0.53 (step @p22 :rule cnf_or_pos :args (@t32)) % 0.19/0.53 (step @p23 :rule reordering :premises (@p22) :args ((or @t31 @t30 @t29 (not @t32)))) % 0.19/0.53 (step @p24 :rule chain_m_resolution :premises (@p23 @p14 @p15 @p21) :args (@t29 @t33 (@list @t22 @t23 @t32))) % 0.19/0.53 (step @p25 :rule instantiate :premises (@p6) :args (@t28)) % 0.19/0.53 (step @p26 :rule cnf_or_pos :args (@t35)) % 0.19/0.53 (step @p27 :rule reordering :premises (@p26) :args ((or @t31 @t30 @t34 (not @t35)))) % 0.19/0.53 (step @p28 :rule chain_m_resolution :premises (@p27 @p14 @p15 @p25) :args (@t34 @t33 (@list @t22 @t23 @t35))) % 0.19/0.53 (step @p29 :rule cnf_or_pos :args (@t39)) % 0.19/0.53 (step @p30 :rule reordering :premises (@p29) :args ((or @t31 @t30 @t38 @t37 @t36 (not @t39)))) % 0.19/0.53 (step @p31 :rule chain_m_resolution :premises (@p30 @p14 @p15 @p28 @p24 @p20) :args (@t36 (@list false false false false false) (@list @t22 @t23 @t34 @t29 @t39))) % 0.19/0.53 (step @p32 :rule instantiate :premises (@p5) :args ((@list tptp.sk3 @t25 @t26))) % 0.19/0.53 (step @p33 :rule cnf_or_pos :args (@t44)) % 0.19/0.53 (step @p34 :rule reordering :premises (@p33) :args ((or @t31 @t30 @t43 @t42 @t40 (not @t44)))) % 0.19/0.53 (step @p35 :rule instantiate :premises (@p2) :args (@t45)) % 0.19/0.53 (step @p36 :rule instantiate :premises (@p16) :args ((@list @t25))) % 0.19/0.53 (step @p37 :rule cnf_or_pos :args (@t48)) % 0.19/0.53 (step @p38 :rule reordering :premises (@p37) :args ((or @t37 @t47 (not @t48)))) % 0.19/0.53 (step @p39 :rule chain_m_resolution :premises (@p38 @p24 @p36) :args (@t47 @t49 (@list @t29 @t48))) % 0.19/0.53 (step @p40 :rule cnf_or_pos :args (@t51)) % 0.19/0.53 (step @p41 :rule reordering :premises (@p40) :args ((or @t31 @t30 @t46 @t43 @t50 (not @t51)))) % 0.19/0.53 (step @p42 :rule chain_m_resolution :premises (@p41 @p14 @p15 @p39 @p31 @p35) :args (@t50 @t52 (@list @t22 @t23 @t46 @t36 @t51))) % 0.19/0.53 (step @p43 :rule eq-symm :args (@t26 @t25)) % 0.19/0.53 (step @p44 :rule refl :args (@t41)) % 0.19/0.53 (step @p45 :rule refl :args (@t53)) % 0.19/0.53 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43) :args (@t54)) % 0.19/0.53 (step @p47 :rule refl :args (@t20)) % 0.19/0.53 (step @p48 :rule cong :premises (@p47 @p46) :args ((=> @t20 @t54))) % 0.19/0.53 (assume-push @p153 @t20) % 0.19/0.53 (step @p50 :rule instantiate :premises (@p8) :args ((@list @t26 @t25))) % 0.19/0.53 (step-pop @p154 :rule scope :premises (@p50)) % 0.19/0.53 (step @p51 :rule process_scope :premises (@p154) :args (@t54)) % 0.19/0.53 (step @p53 :rule eq_resolve :premises (@p51 @p48)) % 0.19/0.53 (step @p54 :rule implies_elim :premises (@p53)) % 0.19/0.53 (step @p55 :rule chain_m_resolution :premises (@p54 @p8) :args (@t56 (@list false) (@list @t20))) % 0.19/0.53 (step @p56 :rule cnf_or_pos :args (@t56)) % 0.19/0.53 (step @p57 :rule reordering :premises (@p56) :args ((or @t53 @t41 @t55 (not @t56)))) % 0.19/0.53 (step @p58 :rule bool-double-not-elim :args (@t40)) % 0.19/0.53 (step @p59 :rule refl :args (@t57)) % 0.19/0.53 (step @p60 :rule refl :args (@t43)) % 0.19/0.53 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58) :args ((or @t43 @t57 (not @t58)))) % 0.19/0.53 (assume-push @p155 @t36) % 0.19/0.53 (assume-push @p156 @t55) % 0.19/0.53 (assume-push @p157 @t58) % 0.19/0.53 (step @p65 :rule evaluate :args ((= false true))) % 0.19/0.53 (step @p66 :rule true_intro :premises (@p31)) % 0.19/0.53 (step @p67 :rule symm :premises (@p156)) % 0.19/0.53 (step @p68 :rule refl :args (tptp.sk3)) % 0.19/0.53 (step @p69 :rule cong :premises (@p68 @p67) :args (@t40)) % 0.19/0.53 (step @p70 :rule false_intro :premises (@p157)) % 0.19/0.53 (step @p71 :rule symm :premises (@p70)) % 0.19/0.53 (step @p72 :rule trans :premises (@p71 @p69 @p66)) % 0.19/0.53 (step @p73 false :rule eq_resolve :premises (@p72 @p65)) % 0.19/0.53 (step-pop @p158 :rule scope :premises (@p73)) % 0.19/0.53 (step-pop @p159 :rule scope :premises (@p158)) % 0.19/0.53 (step-pop @p160 :rule scope :premises (@p159)) % 0.19/0.53 (step @p74 :rule process_scope :premises (@p160) :args (false)) % 0.19/0.53 (step @p78 :rule not_and :premises (@p74)) % 0.19/0.53 (step @p79 :rule eq_resolve :premises (@p78 @p61)) % 0.19/0.53 (step @p80 :rule chain_m_resolution :premises (@p79 @p31 @p57 @p55 @p42 @p34 @p32 @p31 @p15 @p14) :args (@t40 (@list false false false false true false false false false) (@list @t36 @t55 @t56 @t50 @t41 @t44 @t36 @t23 @t22))) % 0.19/0.53 (step @p81 :rule instantiate :premises (@p13) :args (@t27)) % 0.19/0.53 (step @p82 :rule instantiate :premises (@p3) :args (@t45)) % 0.19/0.53 (step @p83 :rule cnf_or_pos :args (@t61)) % 0.19/0.53 (step @p84 :rule reordering :premises (@p83) :args ((or @t31 @t30 @t46 @t43 @t60 (not @t61)))) % 0.19/0.53 (step @p85 :rule chain_m_resolution :premises (@p84 @p14 @p15 @p39 @p31 @p82) :args (@t60 @t52 (@list @t22 @t23 @t46 @t36 @t61))) % 0.19/0.53 (step @p86 :rule cnf_or_pos :args (@t64)) % 0.19/0.53 (step @p87 :rule reordering :premises (@p86) :args ((or @t31 @t30 @t59 @t53 @t63 (not @t64)))) % 0.19/0.53 (step @p88 :rule chain_m_resolution :premises (@p87 @p14 @p15 @p85 @p42 @p81) :args (@t63 @t52 (@list @t22 @t23 @t59 @t50 @t64))) % 0.19/0.53 (step @p89 :rule instantiate :premises (@p1) :args (@t45)) % 0.19/0.53 (step @p90 :rule cnf_or_pos :args (@t66)) % 0.19/0.53 (step @p91 :rule reordering :premises (@p90) :args ((or @t31 @t30 @t46 @t43 @t65 (not @t66)))) % 0.19/0.53 (step @p92 :rule chain_m_resolution :premises (@p91 @p14 @p15 @p39 @p31 @p89) :args (@t65 @t52 (@list @t22 @t23 @t46 @t36 @t66))) % 0.19/0.53 (step @p93 :rule cnf_or_pos :args (@t70)) % 0.19/0.53 (step @p94 :rule reordering :premises (@p93) :args ((or @t31 @t69 @t62 @t58 @t68 (not @t70)))) % 0.19/0.53 (step @p95 :rule chain_m_resolution :premises (@p94 @p14 @p92 @p88 @p80 @p19) :args (@t68 @t52 (@list @t22 @t65 @t62 @t40 @t70))) % 0.19/0.53 (step @p96 :rule cnf_or_pos :args (@t73)) % 0.19/0.53 (step @p97 :rule reordering :premises (@p96) :args ((or @t31 @t58 @t67 @t72 (not @t73)))) % 0.19/0.53 (step @p98 :rule chain_m_resolution :premises (@p97 @p14 @p80 @p95 @p18) :args (@t72 (@list false false true false) (@list @t22 @t40 @t67 @t73))) % 0.19/0.53 (step @p99 :rule cnf_or_pos :args (@t76)) % 0.19/0.53 (step @p100 :rule reordering :premises (@p99) :args ((or @t71 @t75 (not @t76)))) % 0.19/0.53 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p17) :args (@t75 @t77 (@list @t71 @t76))) % 0.19/0.53 (step @p102 :rule instantiate :premises (@p11) :args (@t45)) % 0.19/0.53 (step @p103 :rule instantiate :premises (@p9) :args ((@list @t25 @t24))) % 0.19/0.53 (step @p104 :rule cnf_or_pos :args (@t79)) % 0.19/0.53 (step @p105 :rule reordering :premises (@p104) :args ((or @t37 @t78 (not @t79)))) % 0.19/0.53 (step @p106 :rule chain_m_resolution :premises (@p105 @p24 @p103) :args (@t78 @t49 (@list @t29 @t79))) % 0.19/0.53 (step @p107 :rule cnf_or_pos :args (@t83)) % 0.19/0.53 (step @p108 :rule reordering :premises (@p107) :args ((or @t31 @t43 @t82 @t81 (not @t83)))) % 0.19/0.53 (step @p109 :rule chain_m_resolution :premises (@p108 @p14 @p31 @p106 @p102) :args (@t81 (@list false false false false) (@list @t22 @t36 @t78 @t83))) % 0.19/0.53 (step @p110 :rule bool-double-not-elim :args (@t67)) % 0.19/0.53 (step @p111 :rule refl :args (@t84)) % 0.19/0.53 (step @p112 :rule nary_cong :premises (@p111 @p59 @p110) :args ((or @t84 @t57 (not @t68)))) % 0.19/0.53 (assume-push @p161 @t68) % 0.19/0.53 (assume-push @p162 @t55) % 0.19/0.53 (assume-push @p163 @t81) % 0.19/0.53 (step @p116 :rule evaluate :args ((= true false))) % 0.19/0.53 (step @p117 :rule false_intro :premises (@p161)) % 0.19/0.53 (step @p118 :rule refl :args (tptp.zero)) % 0.19/0.53 (step @p119 :rule refl :args (tptp.efficient_producers)) % 0.19/0.53 (step @p120 :rule cong :premises (@p119 @p162) :args (@t80)) % 0.19/0.53 (step @p121 :rule cong :premises (@p120 @p118) :args (@t81)) % 0.19/0.53 (step @p122 :rule true_intro :premises (@p109)) % 0.19/0.53 (step @p123 :rule symm :premises (@p122)) % 0.19/0.53 (step @p124 :rule trans :premises (@p123 @p121 @p117)) % 0.19/0.53 (step @p125 false :rule eq_resolve :premises (@p124 @p116)) % 0.19/0.53 (step-pop @p164 :rule scope :premises (@p125)) % 0.19/0.53 (step-pop @p165 :rule scope :premises (@p164)) % 0.19/0.53 (step-pop @p166 :rule scope :premises (@p165)) % 0.19/0.53 (step @p126 :rule process_scope :premises (@p166) :args (false)) % 0.19/0.53 (assume-push @p167 @t81) % 0.19/0.53 (assume-push @p168 @t55) % 0.19/0.53 (assume-push @p169 @t68) % 0.19/0.53 (step @p133 :rule and_intro :premises (@p169 @p168 @p109)) % 0.19/0.53 (step-pop @p170 :rule scope :premises (@p133)) % 0.19/0.53 (step-pop @p171 :rule scope :premises (@p170)) % 0.19/0.53 (step-pop @p172 :rule scope :premises (@p171)) % 0.19/0.53 (step @p134 :rule process_scope :premises (@p172) :args (@t85)) % 0.19/0.53 (step @p138 :rule implies_elim :premises (@p134)) % 0.19/0.53 (step @p139 :rule resolution :premises (@p138 @p126) :args (true @t85)) % 0.19/0.53 (step @p140 :rule not_and :premises (@p139)) % 0.19/0.53 (step @p141 :rule eq_resolve :premises (@p140 @p112)) % 0.19/0.53 (step @p142 :rule chain_m_resolution :premises (@p141 @p109 @p95) :args (@t57 (@list false true) (@list @t81 @t67))) % 0.19/0.53 (step @p143 :rule chain_m_resolution :premises (@p57 @p42 @p142 @p55) :args (@t41 (@list false true false) (@list @t50 @t55 @t56))) % 0.19/0.53 (step @p144 :rule cnf_or_pos :args (@t86)) % 0.19/0.53 (step @p145 :rule reordering :premises (@p144) :args ((or @t37 @t42 @t74 @t87))) % 0.19/0.53 (step @p146 :rule chain_m_resolution :premises (@p145 @p24 @p143 @p101) :args (@t87 (@list false false true) (@list @t29 @t41 @t74))) % 0.19/0.53 (assume-push @p173 @t17) % 0.19/0.53 (step @p148 :rule instantiate :premises (@p7) :args ((@list @t26 @t25 @t24))) % 0.19/0.53 (step-pop @p174 :rule scope :premises (@p148)) % 0.19/0.53 (step @p149 :rule process_scope :premises (@p174) :args (@t86)) % 0.19/0.53 (step @p151 :rule implies_elim :premises (@p149)) % 0.19/0.53 (step @p152 false :rule chain_m_resolution :premises (@p151 @p146 @p7) :args (false @t77 (@list @t86 @t17))) % 0.19/0.53 ) % 0.19/0.54 % SZS output end Proof % 0.19/0.54 % cvc5 exiting %------------------------------------------------------------------------------