%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU856^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:53:26 AM UTC 2026 % Result : Theorem 0.37s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU856^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n004.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 17:55:37 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.48 %----Proving TH0 % 0.37/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.55 % SZS status Theorem % 0.37/0.55 % SZS output start Proof % 0.37/0.55 ( % 0.37/0.55 (declare-sort tptp.a 0) % 0.37/0.55 (define @t1 () (@var "Xx" tptp.a)) % 0.37/0.55 (define @t2 () (lambda (@list @t1) false)) % 0.37/0.55 (define @t3 () (@var "Xz" tptp.a)) % 0.37/0.55 (define @t4 () (@var "T" (-> tptp.a Bool))) % 0.37/0.55 (define @t5 () (_ @t4 @t3)) % 0.37/0.55 (define @t6 () (not @t5)) % 0.37/0.55 (define @t7 () (@var "S" (-> tptp.a Bool))) % 0.37/0.55 (define @t8 () (_ @t7 @t3)) % 0.37/0.55 (define @t9 () (and @t8 @t6)) % 0.37/0.55 (define @t10 () (not @t8)) % 0.37/0.55 (define @t11 () (and @t5 @t10)) % 0.37/0.55 (define @t12 () (or @t11 @t9)) % 0.37/0.55 (define @t13 () (@list @t3)) % 0.37/0.55 (define @t14 () (lambda @t13 @t12)) % 0.37/0.55 (define @t15 () (= @t14 @t2)) % 0.37/0.55 (define @t16 () (= @t7 @t4)) % 0.37/0.55 (define @t17 () (= @t16 @t15)) % 0.37/0.55 (define @t18 () (@list @t7 @t4)) % 0.37/0.55 (define @t19 () (forall @t18 @t17)) % 0.37/0.55 (define @t20 () (not @t19)) % 0.37/0.55 (define @t21 () (_ @t4 @t3)) % 0.37/0.55 (define @t22 () (_ @t7 @t3)) % 0.37/0.55 (define @t23 () (lambda @t13 (or (and @t21 (not @t22)) (and @t22 (not @t21))))) % 0.37/0.55 (define @t24 () (@var "BOUND_VARIABLE_7493" tptp.a)) % 0.37/0.55 (define @t25 () (lambda (@list @t24) false)) % 0.37/0.55 (define @t26 () (= @t16 (= @t23 @t25))) % 0.37/0.55 (define @t27 () (= @t14 @t25)) % 0.37/0.55 (define @t28 () (= @t16 @t27)) % 0.37/0.55 (define @t29 () (@purify @t25)) % 0.37/0.55 (define @t30 () (forall @t18 (= @t16 (= @t25 @t23)))) % 0.37/0.55 (define @t31 () (@quantifiers_skolemize @t30 1)) % 0.37/0.55 (define @t32 () (_ @t31 @t3)) % 0.37/0.55 (define @t33 () (not @t32)) % 0.37/0.55 (define @t34 () (@quantifiers_skolemize @t30 0)) % 0.37/0.55 (define @t35 () (_ @t34 @t3)) % 0.37/0.55 (define @t36 () (and @t35 @t33)) % 0.37/0.55 (define @t37 () (not @t35)) % 0.37/0.55 (define @t38 () (and @t32 @t37)) % 0.37/0.55 (define @t39 () (or @t38 @t36)) % 0.37/0.55 (define @t40 () (lambda @t13 @t39)) % 0.37/0.55 (define @t41 () (@purify @t40)) % 0.37/0.55 (define @t42 () (= @t41 @t29)) % 0.37/0.55 (define @t43 () (= @t34 @t31)) % 0.37/0.55 (define @t44 () (= @t43 @t42)) % 0.37/0.55 (define @t45 () (not @t44)) % 0.37/0.55 (define @t46 () (not @t30)) % 0.37/0.55 (define @t47 () (= @t25 @t40)) % 0.37/0.55 (define @t48 () (= @t43 @t47)) % 0.37/0.55 (define @t49 () (not @t48)) % 0.37/0.55 (define @t50 () (@list true)) % 0.37/0.55 (define @t51 () (@const 0 tptp.a)) % 0.37/0.55 (define @t52 () (_ @t31 @t51)) % 0.37/0.55 (define @t53 () (not @t52)) % 0.37/0.55 (define @t54 () (_ @t34 @t51)) % 0.37/0.55 (define @t55 () (and @t54 @t53)) % 0.37/0.55 (define @t56 () (not @t55)) % 0.37/0.55 (define @t57 () (not @t54)) % 0.37/0.55 (define @t58 () (and @t52 @t57)) % 0.37/0.55 (define @t59 () (or @t58 @t55)) % 0.37/0.55 (define @t60 () (_ @t25 @t51)) % 0.37/0.55 (define @t61 () (_ @t29 @t51)) % 0.37/0.55 (define @t62 () (= (_ @t40 @t51) @t59)) % 0.37/0.55 (define @t63 () (_ @t41 @t51)) % 0.37/0.55 (define @t64 () (= @t63 @t61)) % 0.37/0.55 (define @t65 () (not @t64)) % 0.37/0.55 (define @t66 () (or @t42 @t65)) % 0.37/0.55 (define @t67 () (not @t58)) % 0.37/0.55 (define @t68 () (and @t43 @t52)) % 0.37/0.55 (define @t69 () (not @t43)) % 0.37/0.55 (define @t70 () (and @t43 @t53)) % 0.37/0.55 (define @t71 () (@list true true)) % 0.37/0.55 (define @t72 () (or @t37 @t32)) % 0.37/0.55 (define @t73 () (forall @t13 @t72)) % 0.37/0.55 (define @t74 () (@list @t3)) % 0.37/0.55 (define @t75 () (@var "BOUND_VARIABLE_7681" tptp.a)) % 0.37/0.55 (define @t76 () (or @t33 @t35)) % 0.37/0.55 (define @t77 () (forall @t13 @t76)) % 0.37/0.55 (define @t78 () (@var "BOUND_VARIABLE_7673" tptp.a)) % 0.37/0.55 (define @t79 () (and @t77 @t73)) % 0.37/0.55 (define @t80 () (forall @t13 (= @t39 false))) % 0.37/0.55 (define @t81 () (=> @t42 @t80)) % 0.37/0.55 (define @t82 () (forall (@list @t75) (or (not (_ @t34 @t75)) (_ @t31 @t75)))) % 0.37/0.55 (define @t83 () (forall (@list @t78) (or (not (_ @t31 @t78)) (_ @t34 @t78)))) % 0.37/0.55 (define @t84 () (and @t83 @t82)) % 0.37/0.55 (define @t85 () (@list false)) % 0.37/0.55 (define @t86 () (not @t84)) % 0.37/0.55 (define @t87 () (@list @t84)) % 0.37/0.55 (define @t88 () (@const 1 tptp.a)) % 0.37/0.55 (define @t89 () (_ @t31 @t88)) % 0.37/0.55 (define @t90 () (_ @t34 @t88)) % 0.37/0.55 (define @t91 () (= @t90 @t89)) % 0.37/0.55 (define @t92 () (not @t91)) % 0.37/0.55 (define @t93 () (@list @t88)) % 0.37/0.55 (define @t94 () (not @t90)) % 0.37/0.55 (define @t95 () (or @t94 @t89)) % 0.37/0.55 (define @t96 () (not @t89)) % 0.37/0.55 (define @t97 () (or @t96 @t90)) % 0.37/0.55 (define @t98 () (not @t97)) % 0.37/0.55 (define @t99 () (@list true false)) % 0.37/0.55 (assume @p1 @t20) % 0.37/0.55 (assume @p2 true) % 0.37/0.55 (step @p3 :rule eq-symm :args (@t23 @t25)) % 0.37/0.55 (step @p4 :rule refl :args (@t16)) % 0.37/0.55 (step @p5 :rule cong :premises (@p4 @p3) :args (@t26)) % 0.37/0.55 (step @p6 :rule cong :premises (@p5) :args ((forall @t18 @t26))) % 0.37/0.55 (step @p7 :rule refl :args (@t25)) % 0.37/0.55 (step @p8 :rule refl :args (@t21)) % 0.37/0.55 (step @p9 :rule refl :args (@t5)) % 0.37/0.55 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t5 @t21))) % 0.37/0.55 (step @p11 :rule symm :premises (@p10)) % 0.37/0.55 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.37/0.55 (step @p13 :rule cong :premises (@p12) :args (@t6)) % 0.37/0.55 (step @p14 :rule refl :args (@t22)) % 0.37/0.55 (step @p15 :rule refl :args (@t8)) % 0.37/0.55 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t8 @t22))) % 0.37/0.55 (step @p17 :rule symm :premises (@p16)) % 0.37/0.55 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.37/0.55 (step @p19 :rule nary_cong :premises (@p18 @p13) :args (@t9)) % 0.37/0.55 (step @p20 :rule cong :premises (@p18) :args (@t10)) % 0.37/0.55 (step @p21 :rule nary_cong :premises (@p12 @p20) :args (@t11)) % 0.37/0.55 (step @p22 :rule nary_cong :premises (@p21 @p19) :args (@t12)) % 0.37/0.55 (step @p23 :rule cong :premises (@p22) :args (@t14)) % 0.37/0.55 (step @p24 :rule cong :premises (@p23 @p7) :args (@t27)) % 0.37/0.55 (step @p25 :rule refl :args (@t16)) % 0.37/0.55 (step @p26 :rule cong :premises (@p25 @p24) :args (@t28)) % 0.37/0.55 (step @p27 :rule cong :premises (@p26) :args ((forall @t18 @t28))) % 0.37/0.55 (step @p28 :rule trans :premises (@p27 @p6)) % 0.37/0.55 (step @p29 :rule refl :args (@t25)) % 0.37/0.55 (step @p30 :rule symm :premises (@p29)) % 0.37/0.55 (step @p31 :rule alpha_equiv :args (@t2 (@list @t1) (@list @t24))) % 0.37/0.55 (step @p32 :rule trans :premises (@p31 @p30)) % 0.37/0.55 (step @p33 :rule refl :args (@t14)) % 0.37/0.55 (step @p34 :rule cong :premises (@p33 @p32) :args (@t15)) % 0.37/0.55 (step @p35 :rule cong :premises (@p4 @p34) :args (@t17)) % 0.37/0.55 (step @p36 :rule cong :premises (@p35) :args (@t19)) % 0.37/0.55 (step @p37 :rule trans :premises (@p36 @p28)) % 0.37/0.55 (step @p38 :rule cong :premises (@p37) :args (@t20)) % 0.37/0.55 (step @p39 :rule eq_resolve :premises (@p1 @p38)) % 0.37/0.55 (step @p40 :rule refl :args (@t45)) % 0.37/0.55 (step @p41 :rule bool-double-not-elim :args (@t30)) % 0.37/0.55 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t46) @t45))) % 0.37/0.55 (step @p43 :rule eq-symm :args (@t29 @t41)) % 0.37/0.55 (step @p44 :rule eq-refl :args (@t40)) % 0.37/0.55 (step @p45 :rule skolem_intro :args (@t41)) % 0.37/0.55 (step @p46 :rule refl :args (@t40)) % 0.37/0.55 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t40 @t41))) % 0.37/0.55 (step @p48 :rule trans :premises (@p47 @p44)) % 0.37/0.55 (step @p49 :rule true_elim :premises (@p48)) % 0.37/0.55 (step @p50 :rule eq-refl :args (@t25)) % 0.37/0.55 (step @p51 :rule refl :args (@t25)) % 0.37/0.55 (step @p52 :rule cong :premises (@p51 @p30) :args ((= @t25 @t25))) % 0.37/0.55 (step @p53 :rule trans :premises (@p52 @p50)) % 0.37/0.55 (step @p54 :rule skolem_intro :args (@t29)) % 0.37/0.55 (step @p55 :rule cong :premises (@p51 @p54) :args ((= @t25 @t29))) % 0.37/0.55 (step @p56 :rule trans :premises (@p55 @p53)) % 0.37/0.55 (step @p57 :rule true_elim :premises (@p56)) % 0.37/0.55 (step @p58 :rule cong :premises (@p57 @p49) :args (@t47)) % 0.37/0.55 (step @p59 :rule trans :premises (@p58 @p43)) % 0.37/0.55 (step @p60 :rule refl :args (@t43)) % 0.37/0.55 (step @p61 :rule cong :premises (@p60 @p59) :args (@t48)) % 0.37/0.55 (step @p62 :rule cong :premises (@p61) :args (@t49)) % 0.37/0.55 (step @p63 :rule refl :args (@t46)) % 0.37/0.55 (step @p64 :rule cong :premises (@p63 @p62) :args ((=> @t46 @t49))) % 0.37/0.55 (assume-push @p220 @t46) % 0.37/0.55 (step @p66 :rule skolemize :premises (@p39)) % 0.37/0.55 (step-pop @p221 :rule scope :premises (@p66)) % 0.37/0.55 (step @p67 :rule process_scope :premises (@p221) :args (@t49)) % 0.37/0.55 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 0.37/0.55 (step @p70 :rule implies_elim :premises (@p69)) % 0.37/0.55 (step @p71 :rule eq_resolve :premises (@p70 @p42)) % 0.37/0.55 (step @p72 :rule chain_m_resolution :premises (@p71 @p39) :args (@t45 @t50 (@list @t30))) % 0.37/0.55 (step @p73 :rule cnf_equiv_neg2 :args (@t44)) % 0.37/0.55 (step @p74 :rule cnf_and_pos :args (@t55 1)) % 0.37/0.55 (step @p75 :rule reordering :premises (@p74) :args ((or @t53 @t56))) % 0.37/0.55 (step @p76 :rule aci_norm :args ((= (or @t42 @t59) (or @t42 @t58 @t55)))) % 0.37/0.55 (step @p77 :rule bool-double-not-elim :args (@t59)) % 0.37/0.55 (step @p78 :rule bool-eq-false :args (@t59)) % 0.37/0.55 (step @p79 :rule evaluate :args ((not false))) % 0.37/0.55 (step @p80 :rule beta-reduce :args ((= @t60 false))) % 0.37/0.55 (step @p81 :rule cong :premises (@p80) :args ((not @t60))) % 0.37/0.55 (step @p82 :rule trans :premises (@p81 @p79)) % 0.37/0.55 (step @p83 :rule refl :args (@t51)) % 0.37/0.55 (step @p84 :rule ho_cong :premises (@p54 @p83)) % 0.37/0.55 (step @p85 :rule cong :premises (@p84) :args ((not @t61))) % 0.37/0.55 (step @p86 :rule bool-eq-false :args (@t61)) % 0.37/0.55 (step @p87 :rule trans :premises (@p86 @p85 @p82)) % 0.37/0.55 (step @p88 :rule true_elim :premises (@p87)) % 0.37/0.55 (step @p89 :rule eq-refl :args (@t59)) % 0.37/0.55 (step @p90 :rule refl :args (@t59)) % 0.37/0.55 (step @p91 :rule beta-reduce :args (@t62)) % 0.37/0.55 (step @p92 :rule cong :premises (@p91 @p90) :args (@t62)) % 0.37/0.55 (step @p93 :rule trans :premises (@p92 @p89)) % 0.37/0.55 (step @p94 :rule ho_cong :premises (@p45 @p83)) % 0.37/0.55 (step @p95 :rule cong :premises (@p94 @p90) :args ((= @t63 @t59))) % 0.37/0.55 (step @p96 :rule trans :premises (@p95 @p93)) % 0.37/0.55 (step @p97 :rule true_elim :premises (@p96)) % 0.37/0.55 (step @p98 :rule cong :premises (@p97 @p88) :args (@t64)) % 0.37/0.55 (step @p99 :rule trans :premises (@p98 @p78)) % 0.37/0.55 (step @p100 :rule cong :premises (@p99) :args (@t65)) % 0.37/0.55 (step @p101 :rule trans :premises (@p100 @p77)) % 0.37/0.55 (step @p102 :rule refl :args (@t42)) % 0.37/0.55 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t66)) % 0.37/0.55 (step @p104 :rule trans :premises (@p103 @p76)) % 0.37/0.55 ; WARNING: add trust step for TRUST % 0.37/0.55 ; trust TRUST THEORY_LEMMA % 0.37/0.55 (step @p105 :rule trust :premises () :args (@t66)) % 0.37/0.55 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.37/0.55 (step @p107 :rule cnf_and_pos :args (@t58 1)) % 0.37/0.55 (step @p108 :rule reordering :premises (@p107) :args ((or @t57 @t67))) % 0.37/0.55 (assume-push @p222 @t43) % 0.37/0.55 (assume-push @p223 @t52) % 0.37/0.55 (assume-push @p224 @t52) % 0.37/0.55 (assume-push @p225 @t43) % 0.37/0.55 (step @p113 :rule true_intro :premises (@p223)) % 0.37/0.55 (step @p114 :rule ho_cong :premises (@p222 @p83)) % 0.37/0.55 (step @p115 :rule trans :premises (@p114 @p113)) % 0.37/0.55 (step @p116 :rule true_elim :premises (@p115)) % 0.37/0.55 (step-pop @p226 :rule scope :premises (@p116)) % 0.37/0.55 (step-pop @p227 :rule scope :premises (@p226)) % 0.37/0.55 (step @p117 :rule process_scope :premises (@p227) :args (@t54)) % 0.37/0.55 (step @p120 :rule and_intro :premises (@p223 @p222)) % 0.37/0.55 (step @p121 :rule modus_ponens :premises (@p120 @p117)) % 0.37/0.55 (step-pop @p228 :rule scope :premises (@p121)) % 0.37/0.55 (step-pop @p229 :rule scope :premises (@p228)) % 0.37/0.55 (step @p122 :rule process_scope :premises (@p229) :args (@t54)) % 0.37/0.55 (step @p125 :rule implies_elim :premises (@p122)) % 0.37/0.55 (step @p126 :rule cnf_and_neg :args (@t68)) % 0.37/0.55 (step @p127 :rule resolution :premises (@p126 @p125) :args (true @t68)) % 0.37/0.55 (step @p128 :rule reordering :premises (@p127) :args ((or @t69 @t54 @t53))) % 0.37/0.55 (step @p129 :rule chain_m_resolution :premises (@p128 @p108 @p106 @p75 @p73 @p71 @p39) :args ((or @t69 @t53) (@list true false true true true true) (@list @t54 @t58 @t55 @t42 @t44 @t30))) % 0.37/0.55 (step @p130 :rule cnf_and_pos :args (@t58 0)) % 0.37/0.55 (step @p131 :rule reordering :premises (@p130) :args ((or @t52 @t67))) % 0.37/0.55 (step @p132 :rule cnf_and_pos :args (@t55 0)) % 0.37/0.55 (step @p133 :rule reordering :premises (@p132) :args ((or @t54 @t56))) % 0.37/0.55 (step @p134 :rule refl :args (@t57)) % 0.37/0.55 (step @p135 :rule bool-double-not-elim :args (@t52)) % 0.37/0.55 (step @p136 :rule refl :args (@t69)) % 0.37/0.55 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134) :args ((or @t69 (not @t53) @t57))) % 0.37/0.55 (assume-push @p230 @t43) % 0.37/0.55 (assume-push @p231 @t53) % 0.37/0.55 (assume-push @p232 @t53) % 0.37/0.55 (assume-push @p233 @t43) % 0.37/0.55 (step @p142 :rule false_intro :premises (@p231)) % 0.37/0.55 (step @p143 :rule ho_cong :premises (@p230 @p83)) % 0.37/0.55 (step @p144 :rule trans :premises (@p143 @p142)) % 0.37/0.55 (step @p145 :rule false_elim :premises (@p144)) % 0.37/0.55 (step-pop @p234 :rule scope :premises (@p145)) % 0.37/0.55 (step-pop @p235 :rule scope :premises (@p234)) % 0.37/0.55 (step @p146 :rule process_scope :premises (@p235) :args (@t57)) % 0.37/0.55 (step @p149 :rule and_intro :premises (@p231 @p230)) % 0.37/0.55 (step @p150 :rule modus_ponens :premises (@p149 @p146)) % 0.37/0.55 (step-pop @p236 :rule scope :premises (@p150)) % 0.37/0.56 (step-pop @p237 :rule scope :premises (@p236)) % 0.37/0.56 (step @p151 :rule process_scope :premises (@p237) :args (@t57)) % 0.37/0.56 (step @p154 :rule implies_elim :premises (@p151)) % 0.37/0.56 (step @p155 :rule cnf_and_neg :args (@t70)) % 0.37/0.56 (step @p156 :rule resolution :premises (@p155 @p154) :args (true @t70)) % 0.37/0.56 (step @p157 :rule eq_resolve :premises (@p156 @p137)) % 0.37/0.56 (step @p158 :rule chain_m_resolution :premises (@p157 @p133 @p106 @p131 @p129 @p73 @p72) :args (@t69 (@list false false true true true true) (@list @t54 @t55 @t58 @t52 @t42 @t44))) % 0.37/0.56 (step @p159 :rule cnf_equiv_neg1 :args (@t44)) % 0.37/0.56 (step @p160 :rule reordering :premises (@p159) :args ((or @t43 @t42 @t44))) % 0.37/0.56 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p72) :args (@t42 @t71 (@list @t43 @t44))) % 0.37/0.56 (step @p162 :rule alpha_equiv :args (@t73 @t74 (@list @t75))) % 0.37/0.56 (step @p163 :rule alpha_equiv :args (@t77 @t74 (@list @t78))) % 0.37/0.56 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t79)) % 0.37/0.56 (step @p165 :rule quant-miniscope-and :args ((= (forall @t13 (and @t76 @t72)) @t79))) % 0.37/0.56 (step @p166 :rule trans :premises (@p165 @p164)) % 0.37/0.56 (step @p167 :rule bool-double-not-elim :args (@t32)) % 0.37/0.56 (step @p168 :rule refl :args (@t37)) % 0.37/0.56 (step @p169 :rule nary_cong :premises (@p168 @p167) :args ((or @t37 (not @t33)))) % 0.37/0.56 (step @p170 :rule bool-and-de-morgan :args (@t35 @t33 true)) % 0.37/0.56 (step @p171 :rule trans :premises (@p170 @p169)) % 0.37/0.56 (step @p172 :rule bool-double-not-elim :args (@t35)) % 0.37/0.56 (step @p173 :rule refl :args (@t33)) % 0.37/0.56 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or @t33 (not @t37)))) % 0.37/0.56 (step @p175 :rule bool-and-de-morgan :args (@t32 @t37 true)) % 0.37/0.56 (step @p176 :rule trans :premises (@p175 @p174)) % 0.37/0.56 (step @p177 :rule nary_cong :premises (@p176 @p171) :args ((and (not @t38) (not @t36)))) % 0.37/0.56 (step @p178 :rule bool-or-de-morgan :args (@t38 @t36 false)) % 0.37/0.56 (step @p179 :rule trans :premises (@p178 @p177)) % 0.37/0.56 (step @p180 :rule cong :premises (@p179) :args ((forall @t13 (not @t39)))) % 0.37/0.56 (step @p181 :rule trans :premises (@p180 @p166)) % 0.37/0.56 (step @p182 :rule bool-eq-false :args (@t39)) % 0.37/0.56 (step @p183 :rule cong :premises (@p182) :args (@t80)) % 0.37/0.56 (step @p184 :rule trans :premises (@p183 @p181)) % 0.37/0.56 (step @p185 :rule cong :premises (@p102 @p184) :args (@t81)) % 0.37/0.56 ; trust TRUST THEORY_LEMMA % 0.37/0.56 (step @p186 :rule trust :premises () :args (@t81)) % 0.37/0.56 (step @p187 :rule eq_resolve :premises (@p186 @p185)) % 0.37/0.56 (step @p188 :rule implies_elim :premises (@p187)) % 0.37/0.56 (step @p189 :rule chain_m_resolution :premises (@p188 @p161) :args (@t84 @t85 (@list @t42))) % 0.37/0.56 (step @p190 :rule cnf_and_pos :args (@t84 0)) % 0.37/0.56 (step @p191 :rule reordering :premises (@p190) :args ((or @t83 @t86))) % 0.37/0.56 (step @p192 :rule chain_m_resolution :premises (@p191 @p189) :args (@t83 @t85 @t87)) % 0.37/0.56 ; trust TRUST THEORY_LEMMA % 0.37/0.56 (step @p193 :rule trust :premises () :args ((or @t43 @t92))) % 0.37/0.56 (step @p194 :rule chain_m_resolution :premises (@p193 @p158) :args (@t92 @t50 (@list @t43))) % 0.37/0.56 (step @p195 :rule cnf_equiv_neg2 :args (@t91)) % 0.37/0.56 (step @p196 :rule cnf_and_pos :args (@t84 1)) % 0.37/0.56 (step @p197 :rule reordering :premises (@p196) :args ((or @t82 @t86))) % 0.37/0.56 (step @p198 :rule chain_m_resolution :premises (@p197 @p189) :args (@t82 @t85 @t87)) % 0.37/0.56 (assume-push @p238 @t82) % 0.37/0.56 (step @p200 :rule instantiate :premises (@p238) :args (@t93)) % 0.37/0.56 (step-pop @p239 :rule scope :premises (@p200)) % 0.37/0.56 (step @p201 :rule process_scope :premises (@p239) :args (@t95)) % 0.37/0.56 (step @p203 :rule implies_elim :premises (@p201)) % 0.37/0.56 (step @p204 :rule chain_m_resolution :premises (@p203 @p198) :args (@t95 @t85 (@list @t82))) % 0.37/0.56 (step @p205 :rule cnf_or_pos :args (@t95)) % 0.37/0.56 (step @p206 :rule reordering :premises (@p205) :args ((or @t89 @t94 (not @t95)))) % 0.37/0.56 (step @p207 :rule chain_m_resolution :premises (@p206 @p204 @p195 @p194) :args (@t94 (@list false true true) (@list @t95 @t89 @t91))) % 0.37/0.56 (step @p208 :rule cnf_equiv_neg1 :args (@t91)) % 0.37/0.56 (step @p209 :rule reordering :premises (@p208) :args ((or @t90 @t89 @t91))) % 0.37/0.56 (step @p210 :rule chain_m_resolution :premises (@p209 @p207 @p194) :args (@t89 @t71 (@list @t90 @t91))) % 0.37/0.56 (step @p211 :rule cnf_or_pos :args (@t97)) % 0.37/0.56 (step @p212 :rule reordering :premises (@p211) :args ((or @t90 @t96 @t98))) % 0.37/0.56 (step @p213 :rule chain_m_resolution :premises (@p212 @p207 @p210) :args (@t98 @t99 (@list @t90 @t89))) % 0.37/0.56 (assume-push @p240 @t83) % 0.37/0.56 (step @p215 :rule instantiate :premises (@p240) :args (@t93)) % 0.37/0.56 (step-pop @p241 :rule scope :premises (@p215)) % 0.37/0.56 (step @p216 :rule process_scope :premises (@p241) :args (@t97)) % 0.37/0.56 (step @p218 :rule implies_elim :premises (@p216)) % 0.37/0.56 (step @p219 false :rule chain_m_resolution :premises (@p218 @p213 @p192) :args (false @t99 (@list @t97 @t83))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------