%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT050-1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:04:52 AM UTC 2026 % Result : Unsatisfiable 0.17s 0.54s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT050-1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.35 % Computer : n001.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Mon Sep 7 13:23:22 UTC 2026 % 0.08/0.35 % CPUTime : % 0.12/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.12/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.17/0.54 % SZS status Unsatisfiable % 0.17/0.54 % SZS output start Proof % 0.17/0.55 ( % 0.17/0.55 (declare-sort $$unsorted 0) % 0.17/0.55 (declare-const tptp.sk3 $$unsorted) % 0.17/0.55 (declare-const tptp.sk1 $$unsorted) % 0.17/0.55 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.17/0.55 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.17/0.55 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.17/0.55 (declare-const tptp.age (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.55 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.17/0.55 (declare-const tptp.has_immunity (-> $$unsorted $$unsorted Bool)) % 0.17/0.55 (declare-const tptp.has_endowment (-> $$unsorted Bool)) % 0.17/0.55 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.17/0.55 (declare-const tptp.stock_of_knowledge (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.55 (declare-const tptp.position (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.55 (declare-const tptp.capability (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.55 (declare-const tptp.hazard_of_mortality (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.55 (declare-const tptp.internal_friction (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.55 (declare-const tptp.sk2 $$unsorted) % 0.17/0.55 (declare-const tptp.external_ties (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.55 (define @t1 () (@var "B" $$unsorted)) % 0.17/0.55 (define @t2 () (@var "A" $$unsorted)) % 0.17/0.55 (define @t3 () (= @t2 @t1)) % 0.17/0.55 (define @t4 () (tptp.smaller @t2 @t1)) % 0.17/0.55 (define @t5 () (tptp.smaller_or_equal @t2 @t1)) % 0.17/0.55 (define @t6 () (@list @t2 @t1)) % 0.17/0.55 (define @t7 () (not @t4)) % 0.17/0.55 (define @t8 () (not @t3)) % 0.17/0.55 (define @t9 () (or @t8 @t5)) % 0.17/0.55 (define @t10 () (forall @t6 @t9)) % 0.17/0.55 (define @t11 () (tptp.greater @t2 @t1)) % 0.17/0.55 (define @t12 () (tptp.greater_or_equal @t2 @t1)) % 0.17/0.55 (define @t13 () (not @t11)) % 0.17/0.55 (define @t14 () (or @t8 @t12)) % 0.17/0.55 (define @t15 () (forall @t6 @t14)) % 0.17/0.55 (define @t16 () (tptp.greater @t1 @t2)) % 0.17/0.55 (define @t17 () (forall @t6 (or @t7 @t16))) % 0.17/0.55 (define @t18 () (@var "C" $$unsorted)) % 0.17/0.55 (define @t19 () (@list @t2 @t1 @t18)) % 0.17/0.55 (define @t20 () (tptp.has_immunity @t2 @t1)) % 0.17/0.55 (define @t21 () (not (tptp.organization @t2))) % 0.17/0.55 (define @t22 () (tptp.hazard_of_mortality @t2 @t1)) % 0.17/0.55 (define @t23 () (tptp.hazard_of_mortality @t2 @t18)) % 0.17/0.55 (define @t24 () (tptp.smaller @t23 @t22)) % 0.17/0.55 (define @t25 () (tptp.position @t2 @t1)) % 0.17/0.55 (define @t26 () (tptp.position @t2 @t18)) % 0.17/0.55 (define @t27 () (tptp.capability @t2 @t1)) % 0.17/0.55 (define @t28 () (tptp.capability @t2 @t18)) % 0.17/0.55 (define @t29 () (tptp.has_immunity @t2 @t18)) % 0.17/0.55 (define @t30 () (= @t26 @t25)) % 0.17/0.55 (define @t31 () (tptp.internal_friction @t2 @t18)) % 0.17/0.55 (define @t32 () (tptp.internal_friction @t2 @t1)) % 0.17/0.55 (define @t33 () (tptp.stock_of_knowledge @t2 @t18)) % 0.17/0.55 (define @t34 () (tptp.stock_of_knowledge @t2 @t1)) % 0.17/0.55 (define @t35 () (tptp.greater @t32 @t31)) % 0.17/0.55 (define @t36 () (= @t34 @t33)) % 0.17/0.55 (define @t37 () (tptp.external_ties @t2 @t18)) % 0.17/0.55 (define @t38 () (tptp.external_ties @t2 @t1)) % 0.17/0.55 (define @t39 () (= @t38 @t37)) % 0.17/0.55 (define @t40 () (not @t39)) % 0.17/0.55 (define @t41 () (or @t21 @t40 (= @t25 @t26))) % 0.17/0.55 (define @t42 () (forall @t19 @t41)) % 0.17/0.55 (define @t43 () (forall @t19 (or @t21 @t36))) % 0.17/0.55 (define @t44 () (tptp.organization tptp.sk1)) % 0.17/0.55 (define @t45 () (tptp.has_endowment tptp.sk1)) % 0.17/0.55 (define @t46 () (tptp.greater (tptp.age tptp.sk1 tptp.sk3) (tptp.age tptp.sk1 tptp.sk2))) % 0.17/0.55 (define @t47 () (tptp.hazard_of_mortality tptp.sk1 tptp.sk2)) % 0.17/0.55 (define @t48 () (tptp.hazard_of_mortality tptp.sk1 tptp.sk3)) % 0.17/0.55 (define @t49 () (tptp.greater @t48 @t47)) % 0.17/0.55 (define @t50 () (@list tptp.sk1 tptp.sk3 tptp.sk2)) % 0.17/0.55 (define @t51 () (tptp.greater_or_equal @t1 @t1)) % 0.17/0.55 (define @t52 () (not (= @t1 @t1))) % 0.17/0.55 (define @t53 () (or @t52 @t51)) % 0.17/0.55 (define @t54 () (@list @t1)) % 0.17/0.55 (define @t55 () (or @t8 @t8 @t12)) % 0.17/0.55 (define @t56 () (@list @t2)) % 0.17/0.55 (define @t57 () (forall @t56 @t14)) % 0.17/0.55 (define @t58 () (forall @t54 @t57)) % 0.17/0.55 (define @t59 () (@list @t1 @t2)) % 0.17/0.55 (define @t60 () (forall @t59 @t14)) % 0.17/0.55 (define @t61 () (tptp.position tptp.sk1 tptp.sk2)) % 0.17/0.55 (define @t62 () (tptp.position tptp.sk1 tptp.sk3)) % 0.17/0.55 (define @t63 () (= @t62 @t61)) % 0.17/0.55 (define @t64 () (tptp.external_ties tptp.sk1 tptp.sk2)) % 0.17/0.55 (define @t65 () (tptp.external_ties tptp.sk1 tptp.sk3)) % 0.17/0.55 (define @t66 () (not (= @t64 @t65))) % 0.17/0.55 (define @t67 () (not @t44)) % 0.17/0.55 (define @t68 () (or @t67 @t66 @t63)) % 0.17/0.55 (define @t69 () (forall @t19 (or @t21 @t40 @t30))) % 0.17/0.55 (define @t70 () (@list tptp.sk1 tptp.sk2 tptp.sk3)) % 0.17/0.55 (define @t71 () (= @t65 @t64)) % 0.17/0.55 (define @t72 () (not @t71)) % 0.17/0.55 (define @t73 () (or @t67 @t72 @t63)) % 0.17/0.55 (define @t74 () (@list false)) % 0.17/0.55 (define @t75 () (or @t67 @t71)) % 0.17/0.55 (define @t76 () (@list false false)) % 0.17/0.55 (define @t77 () (@list false false false)) % 0.17/0.55 (define @t78 () (tptp.greater_or_equal @t61 @t62)) % 0.17/0.55 (define @t79 () (tptp.has_immunity tptp.sk1 tptp.sk2)) % 0.17/0.55 (define @t80 () (not @t79)) % 0.17/0.55 (define @t81 () (or @t67 @t45 @t80)) % 0.17/0.55 (define @t82 () (@list true false false)) % 0.17/0.55 (define @t83 () (tptp.has_immunity tptp.sk1 tptp.sk3)) % 0.17/0.55 (define @t84 () (not @t83)) % 0.17/0.55 (define @t85 () (or @t67 @t45 @t84)) % 0.17/0.55 (define @t86 () (tptp.smaller @t47 @t48)) % 0.17/0.55 (define @t87 () (not @t86)) % 0.17/0.55 (define @t88 () (or @t87 @t49)) % 0.17/0.55 (define @t89 () (@list true false)) % 0.17/0.55 (define @t90 () (not @t78)) % 0.17/0.55 (define @t91 () (tptp.capability tptp.sk1 tptp.sk3)) % 0.17/0.55 (define @t92 () (tptp.capability tptp.sk1 tptp.sk2)) % 0.17/0.55 (define @t93 () (tptp.greater @t92 @t91)) % 0.17/0.55 (define @t94 () (not @t93)) % 0.17/0.55 (define @t95 () (or @t67 @t83 @t79 @t94 @t90 @t86)) % 0.17/0.55 (define @t96 () (tptp.smaller_or_equal @t1 @t1)) % 0.17/0.55 (define @t97 () (or @t52 @t96)) % 0.17/0.55 (define @t98 () (or @t8 @t8 @t5)) % 0.17/0.55 (define @t99 () (forall @t56 @t9)) % 0.17/0.55 (define @t100 () (forall @t54 @t99)) % 0.17/0.55 (define @t101 () (forall @t59 @t9)) % 0.17/0.55 (define @t102 () (tptp.stock_of_knowledge tptp.sk1 tptp.sk2)) % 0.17/0.55 (define @t103 () (tptp.stock_of_knowledge tptp.sk1 tptp.sk3)) % 0.17/0.55 (define @t104 () (or @t67 (= @t102 @t103))) % 0.17/0.55 (define @t105 () (= @t103 @t102)) % 0.17/0.55 (define @t106 () (or @t67 @t105)) % 0.17/0.55 (define @t107 () (tptp.smaller_or_equal @t103 @t102)) % 0.17/0.55 (define @t108 () (tptp.greater (tptp.internal_friction tptp.sk1 tptp.sk3) (tptp.internal_friction tptp.sk1 tptp.sk2))) % 0.17/0.55 (define @t109 () (not @t46)) % 0.17/0.55 (define @t110 () (or @t67 @t109 @t108)) % 0.17/0.55 (define @t111 () (tptp.smaller @t91 @t92)) % 0.17/0.55 (define @t112 () (not @t108)) % 0.17/0.55 (define @t113 () (not @t107)) % 0.17/0.55 (define @t114 () (or @t67 @t113 @t112 @t111)) % 0.17/0.55 (define @t115 () (not @t111)) % 0.17/0.55 (define @t116 () (or @t115 @t93)) % 0.17/0.55 (define @t117 () (not @t116)) % 0.17/0.55 (assume @p1 (forall @t6 (or (not @t5) @t4 @t3))) % 0.17/0.55 (assume @p2 (forall @t6 (or @t7 @t5))) % 0.17/0.55 (assume @p3 @t10) % 0.17/0.55 (assume @p4 (forall @t6 (or (not @t12) @t11 @t3))) % 0.17/0.55 (assume @p5 (forall @t6 (or @t13 @t12))) % 0.17/0.55 (assume @p6 @t15) % 0.17/0.55 (assume @p7 @t17) % 0.17/0.55 (assume @p8 (forall @t6 (or @t13 (tptp.smaller @t1 @t2)))) % 0.17/0.55 (assume @p9 (forall @t6 (or @t13 (not @t16)))) % 0.17/0.55 (assume @p10 (forall @t19 (or @t13 (not (tptp.greater @t1 @t18)) (tptp.greater @t2 @t18)))) % 0.17/0.55 (assume @p11 (forall @t6 (or @t4 @t3 @t11))) % 0.17/0.55 (assume @p12 (forall @t6 (or @t21 (tptp.has_endowment @t2) (not @t20)))) % 0.17/0.55 (assume @p13 (forall @t19 (or @t21 @t20 @t29 (not (tptp.greater @t28 @t27)) (not (tptp.greater_or_equal @t26 @t25)) @t24))) % 0.17/0.55 (assume @p14 (forall @t19 (or @t21 @t20 @t29 (not (tptp.greater_or_equal @t28 @t27)) (not (tptp.greater @t26 @t25)) @t24))) % 0.17/0.55 (assume @p15 (forall @t19 (or @t21 @t20 @t29 (not (= @t28 @t27)) (not @t30) (= @t23 @t22)))) % 0.17/0.55 (assume @p16 (forall @t19 (or @t21 (not (tptp.greater @t34 @t33)) (not (tptp.smaller_or_equal @t32 @t31)) (tptp.greater @t27 @t28)))) % 0.17/0.55 (assume @p17 (forall @t19 (or @t21 (not (tptp.smaller_or_equal @t34 @t33)) (not @t35) (tptp.smaller @t27 @t28)))) % 0.17/0.55 (assume @p18 (forall @t19 (or @t21 (not @t36) (not (= @t32 @t31)) (= @t27 @t28)))) % 0.17/0.55 (assume @p19 (forall @t19 (or @t21 (not (tptp.greater @t38 @t37)) (tptp.greater @t25 @t26)))) % 0.17/0.55 (assume @p20 @t42) % 0.17/0.55 (assume @p21 @t43) % 0.17/0.55 (assume @p22 (forall @t19 (or @t21 @t39))) % 0.17/0.55 (assume @p23 (forall @t19 (or @t21 (not (tptp.greater (tptp.age @t2 @t1) (tptp.age @t2 @t18))) @t35))) % 0.17/0.55 (assume @p24 @t44) % 0.17/0.55 (assume @p25 (not @t45)) % 0.17/0.55 (assume @p26 @t46) % 0.17/0.55 (assume @p27 (not @t49)) % 0.17/0.55 (step @p28 :rule instantiate :premises (@p13) :args (@t50)) % 0.17/0.55 (step @p29 :rule aci_norm :args ((= (or false @t51) @t51))) % 0.17/0.55 (step @p30 :rule refl :args (@t51)) % 0.17/0.55 (step @p31 :rule evaluate :args ((not true))) % 0.17/0.55 (step @p32 :rule eq-refl :args (@t1)) % 0.17/0.55 (step @p33 :rule cong :premises (@p32) :args (@t52)) % 0.17/0.55 (step @p34 :rule trans :premises (@p33 @p31)) % 0.17/0.55 (step @p35 :rule nary_cong :premises (@p34 @p30) :args (@t53)) % 0.17/0.55 (step @p36 :rule trans :premises (@p35 @p29)) % 0.17/0.55 (step @p37 :rule cong :premises (@p36) :args ((forall @t54 @t53))) % 0.17/0.55 (step @p38 :rule quant-var-elim-eq :args ((= (forall @t56 @t55) @t53))) % 0.17/0.55 (step @p39 :rule aci_norm :args ((= @t14 @t55))) % 0.17/0.55 (step @p40 :rule cong :premises (@p39) :args (@t57)) % 0.17/0.55 (step @p41 :rule trans :premises (@p40 @p38)) % 0.17/0.55 (step @p42 :rule cong :premises (@p41) :args (@t58)) % 0.17/0.55 (step @p43 :rule quant-merge-prenex :args ((= @t58 @t60))) % 0.17/0.55 (step @p44 :rule symm :premises (@p43)) % 0.17/0.55 (step @p45 :rule quant_var_reordering :args ((= @t15 @t60))) % 0.17/0.55 (step @p46 :rule trans :premises (@p45 @p44 @p42)) % 0.17/0.55 (step @p47 :rule trans :premises (@p46 @p37)) % 0.17/0.55 (step @p48 :rule eq_resolve :premises (@p6 @p47)) % 0.17/0.55 (step @p49 :rule instantiate :premises (@p48) :args ((@list @t61))) % 0.17/0.55 (step @p50 :rule true_intro :premises (@p49)) % 0.17/0.55 (step @p51 :rule eq-symm :args (@t25 @t26)) % 0.17/0.55 (step @p52 :rule refl :args (@t40)) % 0.17/0.55 (step @p53 :rule refl :args (@t21)) % 0.17/0.55 (step @p54 :rule nary_cong :premises (@p53 @p52 @p51) :args (@t41)) % 0.17/0.55 (step @p55 :rule cong :premises (@p54) :args (@t42)) % 0.17/0.55 (step @p56 :rule eq_resolve :premises (@p20 @p55)) % 0.17/0.55 (step @p57 :rule refl :args (@t63)) % 0.17/0.55 (step @p58 :rule eq-symm :args (@t64 @t65)) % 0.17/0.55 (step @p59 :rule cong :premises (@p58) :args (@t66)) % 0.17/0.55 (step @p60 :rule refl :args (@t67)) % 0.17/0.55 (step @p61 :rule nary_cong :premises (@p60 @p59 @p57) :args (@t68)) % 0.17/0.55 (step @p62 :rule refl :args (@t69)) % 0.17/0.55 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t69 @t68))) % 0.17/0.55 (assume-push @p150 @t69) % 0.17/0.55 (step @p65 :rule instantiate :premises (@p56) :args (@t70)) % 0.17/0.55 (step-pop @p151 :rule scope :premises (@p65)) % 0.17/0.55 (step @p66 :rule process_scope :premises (@p151) :args (@t68)) % 0.17/0.55 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 0.17/0.55 (step @p69 :rule implies_elim :premises (@p68)) % 0.17/0.55 (step @p70 :rule chain_m_resolution :premises (@p69 @p56) :args (@t73 @t74 (@list @t69))) % 0.17/0.55 (step @p71 :rule instantiate :premises (@p22) :args (@t50)) % 0.17/0.55 (step @p72 :rule cnf_or_pos :args (@t75)) % 0.17/0.55 (step @p73 :rule reordering :premises (@p72) :args ((or @t67 @t71 (not @t75)))) % 0.17/0.55 (step @p74 :rule chain_m_resolution :premises (@p73 @p24 @p71) :args (@t71 @t76 (@list @t44 @t75))) % 0.17/0.55 (step @p75 :rule cnf_or_pos :args (@t73)) % 0.17/0.55 (step @p76 :rule reordering :premises (@p75) :args ((or @t67 @t63 @t72 (not @t73)))) % 0.17/0.55 (step @p77 :rule chain_m_resolution :premises (@p76 @p24 @p74 @p70) :args (@t63 @t77 (@list @t44 @t71 @t73))) % 0.17/0.55 (step @p78 :rule refl :args (@t61)) % 0.17/0.55 (step @p79 :rule cong :premises (@p78 @p77) :args (@t78)) % 0.17/0.55 (step @p80 :rule trans :premises (@p79 @p50)) % 0.17/0.55 (step @p81 :rule true_elim :premises (@p80)) % 0.17/0.55 (step @p82 :rule instantiate :premises (@p12) :args ((@list tptp.sk1 tptp.sk2))) % 0.17/0.55 (step @p83 :rule cnf_or_pos :args (@t81)) % 0.17/0.55 (step @p84 :rule reordering :premises (@p83) :args ((or @t45 @t67 @t80 (not @t81)))) % 0.17/0.55 (step @p85 :rule chain_m_resolution :premises (@p84 @p25 @p24 @p82) :args (@t80 @t82 (@list @t45 @t44 @t81))) % 0.17/0.55 (step @p86 :rule instantiate :premises (@p12) :args ((@list tptp.sk1 tptp.sk3))) % 0.17/0.55 (step @p87 :rule cnf_or_pos :args (@t85)) % 0.17/0.55 (step @p88 :rule reordering :premises (@p87) :args ((or @t45 @t67 @t84 (not @t85)))) % 0.17/0.55 (step @p89 :rule chain_m_resolution :premises (@p88 @p25 @p24 @p86) :args (@t84 @t82 (@list @t45 @t44 @t85))) % 0.17/0.55 (step @p90 :rule instantiate :premises (@p7) :args ((@list @t47 @t48))) % 0.17/0.55 (step @p91 :rule cnf_or_pos :args (@t88)) % 0.17/0.55 (step @p92 :rule reordering :premises (@p91) :args ((or @t49 @t87 (not @t88)))) % 0.17/0.55 (step @p93 :rule chain_m_resolution :premises (@p92 @p27 @p90) :args (@t87 @t89 (@list @t49 @t88))) % 0.17/0.55 (step @p94 :rule cnf_or_pos :args (@t95)) % 0.17/0.55 (step @p95 :rule reordering :premises (@p94) :args ((or @t67 @t86 @t83 @t94 @t79 @t90 (not @t95)))) % 0.17/0.55 (step @p96 :rule chain_m_resolution :premises (@p95 @p24 @p93 @p89 @p85 @p81 @p28) :args (@t94 (@list false true true true false false) (@list @t44 @t86 @t83 @t79 @t78 @t95))) % 0.17/0.55 (step @p97 :rule instantiate :premises (@p17) :args (@t50)) % 0.17/0.55 (step @p98 :rule aci_norm :args ((= (or false @t96) @t96))) % 0.17/0.55 (step @p99 :rule refl :args (@t96)) % 0.17/0.55 (step @p100 :rule nary_cong :premises (@p34 @p99) :args (@t97)) % 0.17/0.55 (step @p101 :rule trans :premises (@p100 @p98)) % 0.17/0.55 (step @p102 :rule cong :premises (@p101) :args ((forall @t54 @t97))) % 0.17/0.55 (step @p103 :rule quant-var-elim-eq :args ((= (forall @t56 @t98) @t97))) % 0.17/0.55 (step @p104 :rule aci_norm :args ((= @t9 @t98))) % 0.17/0.55 (step @p105 :rule cong :premises (@p104) :args (@t99)) % 0.17/0.55 (step @p106 :rule trans :premises (@p105 @p103)) % 0.17/0.55 (step @p107 :rule cong :premises (@p106) :args (@t100)) % 0.17/0.55 (step @p108 :rule quant-merge-prenex :args ((= @t100 @t101))) % 0.17/0.55 (step @p109 :rule symm :premises (@p108)) % 0.17/0.55 (step @p110 :rule quant_var_reordering :args ((= @t10 @t101))) % 0.17/0.55 (step @p111 :rule trans :premises (@p110 @p109 @p107)) % 0.17/0.55 (step @p112 :rule trans :premises (@p111 @p102)) % 0.17/0.55 (step @p113 :rule eq_resolve :premises (@p3 @p112)) % 0.17/0.55 (step @p114 :rule instantiate :premises (@p113) :args ((@list @t102))) % 0.17/0.55 (step @p115 :rule true_intro :premises (@p114)) % 0.17/0.55 (step @p116 :rule refl :args (@t102)) % 0.17/0.55 (step @p117 :rule eq-symm :args (@t102 @t103)) % 0.17/0.55 (step @p118 :rule nary_cong :premises (@p60 @p117) :args (@t104)) % 0.17/0.55 (step @p119 :rule refl :args (@t43)) % 0.17/0.55 (step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t43 @t104))) % 0.17/0.55 (assume-push @p152 @t43) % 0.17/0.55 (step @p122 :rule instantiate :premises (@p21) :args (@t70)) % 0.17/0.55 (step-pop @p153 :rule scope :premises (@p122)) % 0.17/0.55 (step @p123 :rule process_scope :premises (@p153) :args (@t104)) % 0.17/0.55 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 0.17/0.55 (step @p126 :rule implies_elim :premises (@p125)) % 0.17/0.55 (step @p127 :rule chain_m_resolution :premises (@p126 @p21) :args (@t106 @t74 (@list @t43))) % 0.17/0.55 (step @p128 :rule cnf_or_pos :args (@t106)) % 0.17/0.55 (step @p129 :rule reordering :premises (@p128) :args ((or @t67 @t105 (not @t106)))) % 0.17/0.55 (step @p130 :rule chain_m_resolution :premises (@p129 @p24 @p127) :args (@t105 @t76 (@list @t44 @t106))) % 0.17/0.55 (step @p131 :rule cong :premises (@p130 @p116) :args (@t107)) % 0.17/0.55 (step @p132 :rule trans :premises (@p131 @p115)) % 0.17/0.55 (step @p133 :rule true_elim :premises (@p132)) % 0.17/0.55 (step @p134 :rule instantiate :premises (@p23) :args (@t50)) % 0.17/0.55 (step @p135 :rule cnf_or_pos :args (@t110)) % 0.17/0.55 (step @p136 :rule reordering :premises (@p135) :args ((or @t67 @t109 @t108 (not @t110)))) % 0.17/0.55 (step @p137 :rule chain_m_resolution :premises (@p136 @p24 @p26 @p134) :args (@t108 @t77 (@list @t44 @t46 @t110))) % 0.17/0.55 (step @p138 :rule cnf_or_pos :args (@t114)) % 0.17/0.55 (step @p139 :rule reordering :premises (@p138) :args ((or @t67 @t112 @t113 @t111 (not @t114)))) % 0.17/0.55 (step @p140 :rule chain_m_resolution :premises (@p139 @p24 @p137 @p133 @p97) :args (@t111 (@list false false false false) (@list @t44 @t108 @t107 @t114))) % 0.17/0.55 (step @p141 :rule cnf_or_pos :args (@t116)) % 0.17/0.55 (step @p142 :rule reordering :premises (@p141) :args ((or @t115 @t93 @t117))) % 0.17/0.55 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p96) :args (@t117 (@list false true) (@list @t111 @t93))) % 0.17/0.55 (assume-push @p154 @t17) % 0.17/0.55 (step @p145 :rule instantiate :premises (@p7) :args ((@list @t91 @t92))) % 0.17/0.55 (step-pop @p155 :rule scope :premises (@p145)) % 0.17/0.55 (step @p146 :rule process_scope :premises (@p155) :args (@t116)) % 0.17/0.55 (step @p148 :rule implies_elim :premises (@p146)) % 0.17/0.55 (step @p149 false :rule chain_m_resolution :premises (@p148 @p143 @p7) :args (false @t89 (@list @t116 @t17))) % 0.17/0.55 ) % 0.17/0.55 % SZS output end Proof % 0.17/0.55 % cvc5 exiting %------------------------------------------------------------------------------