%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR141^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:13:05 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR141^1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n023.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Mon Jun 1 21:58:43 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.38/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.connected_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.lNear_THFTYPE_i $$unsorted) % 0.38/0.56 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 0.38/0.56 (declare-const tptp.lWhenFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.instance_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.lMeeting_THFTYPE_i $$unsorted) % 0.38/0.56 (declare-const tptp.lMariaPaola_THFTYPE_i $$unsorted) % 0.38/0.56 (declare-const tptp.orientation_THFTYPE_IiiioI (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.agent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.lCADE_BM_THFTYPE_i $$unsorted) % 0.38/0.56 (declare-const tptp.lReiner_THFTYPE_i $$unsorted) % 0.38/0.56 (define @t1 () (_ tptp.agent_THFTYPE_IiioI tptp.lCADE_BM_THFTYPE_i)) % 0.38/0.56 (define @t2 () (_ @t1 tptp.lReiner_THFTYPE_i)) % 0.38/0.56 (define @t3 () (_ @t1 tptp.lMariaPaola_THFTYPE_i)) % 0.38/0.56 (define @t4 () (_ (_ tptp.instance_THFTYPE_IiioI tptp.lCADE_BM_THFTYPE_i) tptp.lMeeting_THFTYPE_i)) % 0.38/0.56 (define @t5 () (_ tptp.lWhenFn_THFTYPE_IiiI tptp.lCADE_BM_THFTYPE_i)) % 0.38/0.56 (define @t6 () (_ tptp.holdsDuring_THFTYPE_IiooI @t5)) % 0.38/0.56 (define @t7 () (@var "AGENT2" $$unsorted)) % 0.38/0.56 (define @t8 () (@var "AGENT1" $$unsorted)) % 0.38/0.56 (define @t9 () (_ (_ (_ tptp.orientation_THFTYPE_IiiioI @t8) @t7) tptp.lNear_THFTYPE_i)) % 0.38/0.56 (define @t10 () (@var "MEET" $$unsorted)) % 0.38/0.56 (define @t11 () (_ tptp.lWhenFn_THFTYPE_IiiI @t10)) % 0.38/0.56 (define @t12 () (_ (_ tptp.holdsDuring_THFTYPE_IiooI @t11) @t9)) % 0.38/0.56 (define @t13 () (_ tptp.agent_THFTYPE_IiioI @t10)) % 0.38/0.56 (define @t14 () (_ @t13 @t7)) % 0.38/0.56 (define @t15 () (_ @t13 @t8)) % 0.38/0.56 (define @t16 () (_ (_ tptp.instance_THFTYPE_IiioI @t10) tptp.lMeeting_THFTYPE_i)) % 0.38/0.56 (define @t17 () (and @t16 @t15 @t14)) % 0.38/0.56 (define @t18 () (@list @t10 @t7 @t8)) % 0.38/0.56 (define @t19 () (forall @t18 (=> @t17 @t12))) % 0.38/0.56 (define @t20 () (@var "OBJ2" $$unsorted)) % 0.38/0.56 (define @t21 () (@var "OBJ1" $$unsorted)) % 0.38/0.56 (define @t22 () (_ (_ tptp.connected_THFTYPE_IiioI @t21) @t20)) % 0.38/0.56 (define @t23 () (not @t22)) % 0.38/0.56 (define @t24 () (_ (_ (_ tptp.orientation_THFTYPE_IiiioI @t21) @t20) tptp.lNear_THFTYPE_i)) % 0.38/0.56 (define @t25 () (@list @t21 @t20)) % 0.38/0.56 (define @t26 () (forall @t25 (=> @t24 @t23))) % 0.38/0.56 (define @t27 () (_ (_ tptp.connected_THFTYPE_IiioI tptp.lMariaPaola_THFTYPE_i) tptp.lReiner_THFTYPE_i)) % 0.38/0.56 (define @t28 () (not @t27)) % 0.38/0.56 (define @t29 () (not (_ @t6 @t28))) % 0.38/0.56 (define @t30 () (@purify @t28)) % 0.38/0.56 (define @t31 () (tptp.lWhenFn_THFTYPE_IiiI tptp.lCADE_BM_THFTYPE_i)) % 0.38/0.56 (define @t32 () (tptp.holdsDuring_THFTYPE_IiooI @t31 @t30)) % 0.38/0.56 (define @t33 () (_ tptp.holdsDuring_THFTYPE_IiooI @t31)) % 0.38/0.56 (define @t34 () (= @t28 @t30)) % 0.38/0.56 (define @t35 () (@purify true)) % 0.38/0.56 (define @t36 () (tptp.holdsDuring_THFTYPE_IiooI @t31 @t35)) % 0.38/0.56 (define @t37 () (not @t30)) % 0.38/0.56 (define @t38 () (not @t36)) % 0.38/0.56 (define @t39 () (not @t35)) % 0.38/0.56 (define @t40 () (not @t32)) % 0.38/0.56 (define @t41 () (not @t40)) % 0.38/0.56 (define @t42 () (and @t36 @t35 @t30 @t40)) % 0.38/0.56 (define @t43 () (tptp.connected_THFTYPE_IiioI @t21 @t20)) % 0.38/0.56 (define @t44 () (tptp.orientation_THFTYPE_IiiioI @t21 @t20 tptp.lNear_THFTYPE_i)) % 0.38/0.56 (define @t45 () (not @t24)) % 0.38/0.56 (define @t46 () (or @t45 @t23)) % 0.38/0.56 (define @t47 () (tptp.connected_THFTYPE_IiioI tptp.lMariaPaola_THFTYPE_i tptp.lReiner_THFTYPE_i)) % 0.38/0.56 (define @t48 () (not @t47)) % 0.38/0.56 (define @t49 () (@list true)) % 0.38/0.56 (define @t50 () (tptp.orientation_THFTYPE_IiiioI tptp.lMariaPaola_THFTYPE_i tptp.lReiner_THFTYPE_i tptp.lNear_THFTYPE_i)) % 0.38/0.56 (define @t51 () (not @t50)) % 0.38/0.56 (define @t52 () (or @t51 @t48)) % 0.38/0.56 (define @t53 () (@purify @t50)) % 0.38/0.56 (define @t54 () (not @t53)) % 0.38/0.56 (define @t55 () (tptp.orientation_THFTYPE_IiiioI @t8 @t7 tptp.lNear_THFTYPE_i)) % 0.38/0.56 (define @t56 () (tptp.lWhenFn_THFTYPE_IiiI @t10)) % 0.38/0.56 (define @t57 () (tptp.holdsDuring_THFTYPE_IiooI @t56 @t55)) % 0.38/0.56 (define @t58 () (tptp.agent_THFTYPE_IiioI @t10 @t7)) % 0.38/0.56 (define @t59 () (not @t14)) % 0.38/0.56 (define @t60 () (tptp.agent_THFTYPE_IiioI @t10 @t8)) % 0.38/0.56 (define @t61 () (not @t15)) % 0.38/0.56 (define @t62 () (tptp.instance_THFTYPE_IiioI @t10 tptp.lMeeting_THFTYPE_i)) % 0.38/0.56 (define @t63 () (not @t16)) % 0.38/0.56 (define @t64 () (or @t63 @t61 @t59 @t12)) % 0.38/0.56 (define @t65 () (or @t63 @t61 @t59)) % 0.38/0.56 (define @t66 () (tptp.holdsDuring_THFTYPE_IiooI @t31 @t50)) % 0.38/0.56 (define @t67 () (tptp.agent_THFTYPE_IiioI tptp.lCADE_BM_THFTYPE_i tptp.lReiner_THFTYPE_i)) % 0.38/0.56 (define @t68 () (not @t67)) % 0.38/0.56 (define @t69 () (tptp.agent_THFTYPE_IiioI tptp.lCADE_BM_THFTYPE_i tptp.lMariaPaola_THFTYPE_i)) % 0.38/0.56 (define @t70 () (not @t69)) % 0.38/0.56 (define @t71 () (tptp.instance_THFTYPE_IiioI tptp.lCADE_BM_THFTYPE_i tptp.lMeeting_THFTYPE_i)) % 0.38/0.56 (define @t72 () (not @t71)) % 0.38/0.56 (define @t73 () (or @t72 @t70 @t68 @t66)) % 0.38/0.56 (define @t74 () (forall @t18 (or (not @t62) (not @t60) (not @t58) @t57))) % 0.38/0.56 (define @t75 () (tptp.holdsDuring_THFTYPE_IiooI @t31 @t53)) % 0.38/0.56 (define @t76 () (or @t72 @t70 @t68 @t75)) % 0.38/0.56 (define @t77 () (not @t75)) % 0.38/0.56 (define @t78 () (and @t40 @t37 @t54)) % 0.38/0.56 (assume @p1 @t2) % 0.38/0.56 (assume @p2 @t3) % 0.38/0.56 (assume @p3 @t4) % 0.38/0.56 (assume @p4 (_ @t6 true)) % 0.38/0.56 (assume @p5 @t19) % 0.38/0.56 (assume @p6 @t26) % 0.38/0.56 (assume @p7 @t29) % 0.38/0.56 (assume @p8 true) % 0.38/0.56 (step @p9 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t5 @t30))) % 0.38/0.56 (step @p10 :rule refl :args (@t30)) % 0.38/0.56 (step @p11 :rule refl :args (@t31)) % 0.38/0.56 (step @p12 :rule cong :premises (@p11 @p10) :args (@t32)) % 0.38/0.56 (step @p13 :rule trans :premises (@p12 @p9)) % 0.38/0.56 (step @p14 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.38/0.56 (step @p15 :rule ho_cong :premises (@p14 @p11)) % 0.38/0.56 (step @p16 :rule ho_cong :premises (@p15 @p10)) % 0.38/0.56 (step @p17 :rule cong :premises (@p16 @p13) :args ((= (_ @t33 @t30) @t32))) % 0.38/0.56 (step @p18 :rule symm :premises (@p17)) % 0.38/0.56 (step @p19 :rule refl :args ((_ @t6 @t30))) % 0.38/0.56 (step @p20 :rule eq_resolve :premises (@p19 @p18)) % 0.38/0.56 (step @p21 :rule eq-refl :args (@t28)) % 0.38/0.56 (step @p22 :rule skolem_intro :args (@t30)) % 0.38/0.56 (step @p23 :rule refl :args (@t28)) % 0.38/0.56 (step @p24 :rule cong :premises (@p23 @p22) :args (@t34)) % 0.38/0.56 (step @p25 :rule trans :premises (@p24 @p21)) % 0.38/0.56 (step @p26 :rule true_elim :premises (@p25)) % 0.38/0.56 (step @p27 :rule refl :args (@t5)) % 0.38/0.56 (step @p28 :rule cong :premises (@p27 @p11) :args ((= @t5 @t31))) % 0.38/0.56 (step @p29 :rule symm :premises (@p28)) % 0.38/0.56 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.38/0.56 (step @p31 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.38/0.56 (step @p32 :rule ho_cong :premises (@p31 @p30)) % 0.38/0.56 (step @p33 :rule ho_cong :premises (@p32 @p26)) % 0.38/0.56 (step @p34 :rule trans :premises (@p33 @p20)) % 0.38/0.56 (step @p35 :rule cong :premises (@p34) :args (@t29)) % 0.38/0.56 (step @p36 :rule eq_resolve :premises (@p7 @p35)) % 0.38/0.56 (step @p37 :rule bool-eq-true :args (@t35)) % 0.38/0.56 (step @p38 :rule skolem_intro :args (@t35)) % 0.38/0.56 (step @p39 :rule eq_resolve :premises (@p38 @p37)) % 0.38/0.56 (step @p40 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t5 @t35))) % 0.38/0.56 (step @p41 :rule refl :args (@t35)) % 0.38/0.56 (step @p42 :rule cong :premises (@p11 @p41) :args (@t36)) % 0.38/0.56 (step @p43 :rule trans :premises (@p42 @p40)) % 0.38/0.56 (step @p44 :rule ho_cong :premises (@p15 @p41)) % 0.38/0.56 (step @p45 :rule cong :premises (@p44 @p43) :args ((= (_ @t33 @t35) @t36))) % 0.38/0.56 (step @p46 :rule symm :premises (@p45)) % 0.38/0.56 (step @p47 :rule refl :args ((_ @t6 @t35))) % 0.38/0.56 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.38/0.56 (step @p49 :rule symm :premises (@p38)) % 0.38/0.56 (step @p50 :rule ho_cong :premises (@p32 @p49)) % 0.38/0.56 (step @p51 :rule trans :premises (@p50 @p48)) % 0.38/0.56 (step @p52 :rule eq_resolve :premises (@p4 @p51)) % 0.38/0.56 (step @p53 :rule bool-double-not-elim :args (@t32)) % 0.38/0.56 (step @p54 :rule refl :args (@t37)) % 0.38/0.56 (step @p55 :rule refl :args (@t38)) % 0.38/0.56 (step @p56 :rule refl :args (@t39)) % 0.38/0.56 (step @p57 :rule nary_cong :premises (@p56 @p55 @p54 @p53) :args ((or @t39 @t38 @t37 @t41))) % 0.38/0.56 (assume-push @p262 @t36) % 0.38/0.56 (assume-push @p263 @t35) % 0.38/0.56 (assume-push @p264 @t30) % 0.38/0.56 (assume-push @p265 @t40) % 0.38/0.56 (step @p62 :rule evaluate :args ((= false true))) % 0.38/0.56 (step @p63 :rule true_intro :premises (@p52)) % 0.38/0.56 (step @p64 :rule true_intro :premises (@p264)) % 0.38/0.56 (step @p65 :rule trans :premises (@p64 @p49)) % 0.38/0.56 (step @p66 :rule refl :args (@t31)) % 0.38/0.56 (step @p67 :rule cong :premises (@p66 @p65) :args (@t32)) % 0.38/0.56 (step @p68 :rule false_intro :premises (@p36)) % 0.38/0.56 (step @p69 :rule symm :premises (@p68)) % 0.38/0.56 (step @p70 :rule trans :premises (@p69 @p67 @p63)) % 0.38/0.56 (step @p71 false :rule eq_resolve :premises (@p70 @p62)) % 0.38/0.56 (step-pop @p266 :rule scope :premises (@p71)) % 0.38/0.56 (step-pop @p267 :rule scope :premises (@p266)) % 0.38/0.56 (step-pop @p268 :rule scope :premises (@p267)) % 0.38/0.56 (step-pop @p269 :rule scope :premises (@p268)) % 0.38/0.56 (step @p72 :rule process_scope :premises (@p269) :args (false)) % 0.38/0.56 (assume-push @p270 @t35) % 0.38/0.56 (assume-push @p271 @t36) % 0.38/0.56 (assume-push @p272 @t30) % 0.38/0.56 (assume-push @p273 @t40) % 0.38/0.56 (step @p81 :rule and_intro :premises (@p52 @p39 @p272 @p36)) % 0.38/0.56 (step-pop @p274 :rule scope :premises (@p81)) % 0.38/0.56 (step-pop @p275 :rule scope :premises (@p274)) % 0.38/0.56 (step-pop @p276 :rule scope :premises (@p275)) % 0.38/0.56 (step-pop @p277 :rule scope :premises (@p276)) % 0.38/0.56 (step @p82 :rule process_scope :premises (@p277) :args (@t42)) % 0.38/0.56 (step @p87 :rule implies_elim :premises (@p82)) % 0.38/0.56 (step @p88 :rule resolution :premises (@p87 @p72) :args (true @t42)) % 0.38/0.56 (step @p89 :rule not_and :premises (@p88)) % 0.38/0.56 (step @p90 :rule eq_resolve :premises (@p89 @p57)) % 0.38/0.56 (step @p91 :rule reordering :premises (@p90) :args ((or @t32 @t38 @t39 @t37))) % 0.38/0.56 (step @p92 :rule chain_m_resolution :premises (@p91 @p36 @p52 @p39) :args (@t37 (@list true false false) (@list @t32 @t36 @t35))) % 0.38/0.56 (step @p93 :rule refl :args (@t43)) % 0.38/0.56 (step @p94 :rule refl :args (@t22)) % 0.38/0.56 (step @p95 :rule cong :premises (@p94 @p93) :args ((= @t22 @t43))) % 0.38/0.56 (step @p96 :rule symm :premises (@p95)) % 0.38/0.56 (step @p97 :rule eq_resolve :premises (@p94 @p96)) % 0.38/0.56 (step @p98 :rule cong :premises (@p97) :args (@t23)) % 0.38/0.56 (step @p99 :rule refl :args (@t44)) % 0.38/0.56 (step @p100 :rule refl :args (@t24)) % 0.38/0.56 (step @p101 :rule cong :premises (@p100 @p99) :args ((= @t24 @t44))) % 0.38/0.56 (step @p102 :rule symm :premises (@p101)) % 0.38/0.56 (step @p103 :rule eq_resolve :premises (@p100 @p102)) % 0.38/0.56 (step @p104 :rule cong :premises (@p103) :args (@t45)) % 0.38/0.56 (step @p105 :rule nary_cong :premises (@p104 @p98) :args (@t46)) % 0.38/0.56 (step @p106 :rule cong :premises (@p105) :args ((forall @t25 @t46))) % 0.38/0.56 (step @p107 :rule bool-impl-elim :args (@t24 @t23)) % 0.38/0.56 (step @p108 :rule cong :premises (@p107) :args (@t26)) % 0.38/0.56 (step @p109 :rule trans :premises (@p108 @p106)) % 0.38/0.56 (step @p110 :rule eq_resolve :premises (@p6 @p109)) % 0.38/0.56 (step @p111 :rule instantiate :premises (@p110) :args ((@list tptp.lMariaPaola_THFTYPE_i tptp.lReiner_THFTYPE_i))) % 0.38/0.56 (step @p112 :rule bool-double-not-elim :args (@t47)) % 0.38/0.56 (step @p113 :rule refl :args (@t30)) % 0.38/0.56 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t30 (not @t48)))) % 0.38/0.56 (step @p115 :rule eq-symm :args (@t48 @t30)) % 0.38/0.56 (step @p116 :rule refl :args (@t47)) % 0.38/0.56 (step @p117 :rule refl :args (@t27)) % 0.38/0.56 (step @p118 :rule cong :premises (@p117 @p116) :args ((= @t27 @t47))) % 0.38/0.56 (step @p119 :rule symm :premises (@p118)) % 0.38/0.56 (step @p120 :rule eq_resolve :premises (@p117 @p119)) % 0.38/0.56 (step @p121 :rule cong :premises (@p120) :args (@t28)) % 0.38/0.56 (step @p122 :rule cong :premises (@p121 @p113) :args (@t34)) % 0.38/0.56 (step @p123 :rule trans :premises (@p122 @p115)) % 0.38/0.56 (step @p124 :rule eq-symm :args (@t30 @t28)) % 0.38/0.56 (step @p125 :rule trans :premises (@p124 @p123)) % 0.38/0.56 (step @p126 :rule eq_resolve :premises (@p22 @p125)) % 0.38/0.56 (step @p127 :rule equiv_elim2 :premises (@p126)) % 0.38/0.56 (step @p128 :rule eq_resolve :premises (@p127 @p114)) % 0.38/0.56 (step @p129 :rule chain_m_resolution :premises (@p128 @p92) :args (@t47 @t49 (@list @t30))) % 0.38/0.56 (step @p130 :rule cnf_or_pos :args (@t52)) % 0.38/0.56 (step @p131 :rule reordering :premises (@p130) :args ((or @t48 @t51 (not @t52)))) % 0.38/0.56 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p111) :args (@t51 (@list false false) (@list @t47 @t52))) % 0.38/0.56 (step @p133 :rule skolem_intro :args (@t53)) % 0.38/0.56 (step @p134 :rule symm :premises (@p133)) % 0.38/0.56 (step @p135 :rule equiv_elim2 :premises (@p134)) % 0.38/0.56 (step @p136 :rule chain_m_resolution :premises (@p135 @p132) :args (@t54 @t49 (@list @t50))) % 0.38/0.56 (step @p137 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t11 @t9))) % 0.38/0.56 (step @p138 :rule refl :args (@t55)) % 0.38/0.56 (step @p139 :rule refl :args (@t56)) % 0.38/0.56 (step @p140 :rule cong :premises (@p139 @p138) :args (@t57)) % 0.38/0.56 (step @p141 :rule trans :premises (@p140 @p137)) % 0.38/0.56 (step @p142 :rule ho_cong :premises (@p14 @p139)) % 0.38/0.56 (step @p143 :rule ho_cong :premises (@p142 @p138)) % 0.38/0.56 (step @p144 :rule cong :premises (@p143 @p141) :args ((= (_ (_ tptp.holdsDuring_THFTYPE_IiooI @t56) @t55) @t57))) % 0.38/0.56 (step @p145 :rule symm :premises (@p144)) % 0.38/0.56 (step @p146 :rule refl :args (@t12)) % 0.38/0.56 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 0.38/0.56 (step @p148 :rule refl :args (@t9)) % 0.38/0.56 (step @p149 :rule cong :premises (@p148 @p138) :args ((= @t9 @t55))) % 0.38/0.56 (step @p150 :rule symm :premises (@p149)) % 0.38/0.56 (step @p151 :rule eq_resolve :premises (@p148 @p150)) % 0.38/0.56 (step @p152 :rule refl :args (@t11)) % 0.38/0.56 (step @p153 :rule cong :premises (@p152 @p139) :args ((= @t11 @t56))) % 0.38/0.56 (step @p154 :rule symm :premises (@p153)) % 0.38/0.56 (step @p155 :rule eq_resolve :premises (@p152 @p154)) % 0.38/0.56 (step @p156 :rule ho_cong :premises (@p14 @p155)) % 0.38/0.56 (step @p157 :rule ho_cong :premises (@p156 @p151)) % 0.38/0.56 (step @p158 :rule trans :premises (@p157 @p147)) % 0.38/0.56 (step @p159 :rule refl :args (@t58)) % 0.38/0.56 (step @p160 :rule refl :args (@t14)) % 0.38/0.56 (step @p161 :rule cong :premises (@p160 @p159) :args ((= @t14 @t58))) % 0.38/0.56 (step @p162 :rule symm :premises (@p161)) % 0.38/0.56 (step @p163 :rule eq_resolve :premises (@p160 @p162)) % 0.38/0.56 (step @p164 :rule cong :premises (@p163) :args (@t59)) % 0.38/0.56 (step @p165 :rule refl :args (@t60)) % 0.38/0.56 (step @p166 :rule refl :args (@t15)) % 0.38/0.56 (step @p167 :rule cong :premises (@p166 @p165) :args ((= @t15 @t60))) % 0.38/0.56 (step @p168 :rule symm :premises (@p167)) % 0.38/0.56 (step @p169 :rule eq_resolve :premises (@p166 @p168)) % 0.38/0.56 (step @p170 :rule cong :premises (@p169) :args (@t61)) % 0.38/0.56 (step @p171 :rule refl :args (@t62)) % 0.38/0.56 (step @p172 :rule refl :args (@t16)) % 0.38/0.56 (step @p173 :rule cong :premises (@p172 @p171) :args ((= @t16 @t62))) % 0.38/0.56 (step @p174 :rule symm :premises (@p173)) % 0.38/0.56 (step @p175 :rule eq_resolve :premises (@p172 @p174)) % 0.38/0.56 (step @p176 :rule cong :premises (@p175) :args (@t63)) % 0.38/0.56 (step @p177 :rule nary_cong :premises (@p176 @p170 @p164 @p158) :args (@t64)) % 0.38/0.56 (step @p178 :rule cong :premises (@p177) :args ((forall @t18 @t64))) % 0.38/0.56 (step @p179 :rule aci_norm :args ((= (or @t65 @t12) @t64))) % 0.38/0.56 (step @p180 :rule aci_norm :args ((= (or @t63 (or @t61 @t59)) @t65))) % 0.38/0.56 (step @p181 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 0.38/0.56 (step @p182 :rule refl :args (@t63)) % 0.38/0.56 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t63 (not (and @t15 @t14))))) % 0.38/0.56 (step @p184 :rule bool-and-de-morgan :args (@t16 @t15 (and @t14))) % 0.38/0.56 (step @p185 :rule trans :premises (@p184 @p183)) % 0.38/0.56 (step @p186 :rule trans :premises (@p185 @p180)) % 0.38/0.56 (step @p187 :rule nary_cong :premises (@p186 @p146) :args ((or (not @t17) @t12))) % 0.38/0.56 (step @p188 :rule trans :premises (@p187 @p179)) % 0.38/0.56 (step @p189 :rule bool-impl-elim :args (@t17 @t12)) % 0.38/0.56 (step @p190 :rule trans :premises (@p189 @p188)) % 0.38/0.56 (step @p191 :rule cong :premises (@p190) :args (@t19)) % 0.38/0.56 (step @p192 :rule trans :premises (@p191 @p178)) % 0.38/0.56 (step @p193 :rule eq_resolve :premises (@p5 @p192)) % 0.38/0.56 (step @p66 :rule refl :args (@t31)) % 0.38/0.56 (step @p194 :rule cong :premises (@p66 @p134) :args (@t66)) % 0.38/0.56 (step @p195 :rule refl :args (@t68)) % 0.38/0.56 (step @p196 :rule refl :args (@t70)) % 0.38/0.56 (step @p197 :rule refl :args (@t72)) % 0.38/0.56 (step @p198 :rule nary_cong :premises (@p197 @p196 @p195 @p194) :args (@t73)) % 0.38/0.56 (step @p199 :rule refl :args (@t74)) % 0.38/0.56 (step @p200 :rule cong :premises (@p199 @p198) :args ((=> @t74 @t73))) % 0.38/0.56 (assume-push @p278 @t74) % 0.38/0.56 (step @p202 :rule instantiate :premises (@p193) :args ((@list tptp.lCADE_BM_THFTYPE_i tptp.lReiner_THFTYPE_i tptp.lMariaPaola_THFTYPE_i))) % 0.38/0.56 (step-pop @p279 :rule scope :premises (@p202)) % 0.38/0.56 (step @p203 :rule process_scope :premises (@p279) :args (@t73)) % 0.38/0.56 (step @p205 :rule eq_resolve :premises (@p203 @p200)) % 0.38/0.56 (step @p206 :rule implies_elim :premises (@p205)) % 0.38/0.56 (step @p207 :rule chain_m_resolution :premises (@p206 @p193) :args (@t76 (@list false) (@list @t74))) % 0.38/0.56 (step @p208 :rule refl :args (@t71)) % 0.38/0.56 (step @p209 :rule refl :args (@t4)) % 0.38/0.56 (step @p210 :rule cong :premises (@p209 @p208) :args ((= @t4 @t71))) % 0.38/0.56 (step @p211 :rule symm :premises (@p210)) % 0.38/0.56 (step @p212 :rule eq_resolve :premises (@p209 @p211)) % 0.38/0.56 (step @p213 :rule eq_resolve :premises (@p3 @p212)) % 0.38/0.56 (step @p214 :rule refl :args (@t69)) % 0.38/0.56 (step @p215 :rule refl :args (@t3)) % 0.38/0.56 (step @p216 :rule cong :premises (@p215 @p214) :args ((= @t3 @t69))) % 0.38/0.56 (step @p217 :rule symm :premises (@p216)) % 0.38/0.56 (step @p218 :rule eq_resolve :premises (@p215 @p217)) % 0.38/0.56 (step @p219 :rule eq_resolve :premises (@p2 @p218)) % 0.38/0.56 (step @p220 :rule refl :args (@t67)) % 0.38/0.56 (step @p221 :rule refl :args (@t2)) % 0.38/0.56 (step @p222 :rule cong :premises (@p221 @p220) :args ((= @t2 @t67))) % 0.38/0.56 (step @p223 :rule symm :premises (@p222)) % 0.38/0.56 (step @p224 :rule eq_resolve :premises (@p221 @p223)) % 0.38/0.56 (step @p225 :rule eq_resolve :premises (@p1 @p224)) % 0.38/0.56 (step @p226 :rule cnf_or_pos :args (@t76)) % 0.38/0.56 (step @p227 :rule reordering :premises (@p226) :args ((or @t68 @t70 @t72 @t75 (not @t76)))) % 0.38/0.56 (step @p228 :rule chain_m_resolution :premises (@p227 @p225 @p219 @p213 @p207) :args (@t75 (@list false false false false) (@list @t67 @t69 @t71 @t76))) % 0.38/0.56 (step @p229 :rule refl :args (@t77)) % 0.38/0.56 (step @p230 :rule bool-double-not-elim :args (@t53)) % 0.38/0.56 (step @p231 :rule bool-double-not-elim :args (@t30)) % 0.38/0.56 (step @p232 :rule nary_cong :premises (@p53 @p231 @p230 @p229) :args ((or @t41 (not @t37) (not @t54) @t77))) % 0.38/0.56 (assume-push @p280 @t40) % 0.38/0.56 (assume-push @p281 @t37) % 0.38/0.56 (assume-push @p282 @t54) % 0.38/0.56 (assume-push @p283 @t40) % 0.38/0.56 (assume-push @p284 @t37) % 0.38/0.56 (assume-push @p285 @t54) % 0.38/0.56 (step @p68 :rule false_intro :premises (@p36)) % 0.38/0.56 (step @p239 :rule false_intro :premises (@p281)) % 0.38/0.56 (step @p240 :rule symm :premises (@p239)) % 0.38/0.56 (step @p241 :rule false_intro :premises (@p282)) % 0.38/0.56 (step @p242 :rule trans :premises (@p241 @p240)) % 0.38/0.56 (step @p243 :rule cong :premises (@p66 @p242) :args (@t75)) % 0.38/0.56 (step @p244 :rule trans :premises (@p243 @p68)) % 0.38/0.56 (step @p245 :rule false_elim :premises (@p244)) % 0.38/0.56 (step-pop @p286 :rule scope :premises (@p245)) % 0.38/0.56 (step-pop @p287 :rule scope :premises (@p286)) % 0.38/0.56 (step-pop @p288 :rule scope :premises (@p287)) % 0.38/0.56 (step @p246 :rule process_scope :premises (@p288) :args (@t77)) % 0.38/0.56 (step @p250 :rule and_intro :premises (@p36 @p281 @p282)) % 0.38/0.56 (step @p251 :rule modus_ponens :premises (@p250 @p246)) % 0.38/0.56 (step-pop @p289 :rule scope :premises (@p251)) % 0.38/0.56 (step-pop @p290 :rule scope :premises (@p289)) % 0.38/0.56 (step-pop @p291 :rule scope :premises (@p290)) % 0.38/0.56 (step @p252 :rule process_scope :premises (@p291) :args (@t77)) % 0.38/0.56 (step @p256 :rule implies_elim :premises (@p252)) % 0.38/0.56 (step @p257 :rule cnf_and_neg :args (@t78)) % 0.38/0.56 (step @p258 :rule resolution :premises (@p257 @p256) :args (true @t78)) % 0.38/0.56 (step @p259 :rule eq_resolve :premises (@p258 @p232)) % 0.38/0.56 (step @p260 :rule reordering :premises (@p259) :args ((or @t30 @t32 @t53 @t77))) % 0.38/0.56 (step @p261 false :rule chain_m_resolution :premises (@p260 @p228 @p136 @p92 @p36) :args (false (@list false true true true) (@list @t75 @t53 @t30 @t32))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------