%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ001+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:43:53 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ001+1 : TPTP v9.2.1. Released v2.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n008.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 13:11:48 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.richer (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.charles $$unsorted) % 0.38/0.57 (declare-const tptp.butler $$unsorted) % 0.38/0.57 (declare-const tptp.lives (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.hates (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.killed (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.agatha $$unsorted) % 0.38/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t2 () (tptp.killed @t1 tptp.agatha)) % 0.38/0.57 (define @t3 () (tptp.lives @t1)) % 0.38/0.57 (define @t4 () (and @t3 @t2)) % 0.38/0.57 (define @t5 () (@list @t1)) % 0.38/0.57 (define @t6 () (exists @t5 @t4)) % 0.38/0.57 (define @t7 () (= @t1 tptp.charles)) % 0.38/0.57 (define @t8 () (= @t1 tptp.butler)) % 0.38/0.57 (define @t9 () (or (= @t1 tptp.agatha) @t8 @t7)) % 0.38/0.57 (define @t10 () (=> @t3 @t9)) % 0.38/0.57 (define @t11 () (forall @t5 @t10)) % 0.38/0.57 (define @t12 () (@var "Y" $$unsorted)) % 0.38/0.57 (define @t13 () (tptp.hates @t1 @t12)) % 0.38/0.57 (define @t14 () (tptp.killed @t1 @t12)) % 0.38/0.57 (define @t15 () (@list @t1 @t12)) % 0.38/0.57 (define @t16 () (forall @t15 (=> @t14 @t13))) % 0.38/0.57 (define @t17 () (not (tptp.richer @t1 @t12))) % 0.38/0.57 (define @t18 () (forall @t15 (=> @t14 @t17))) % 0.38/0.57 (define @t19 () (not (tptp.hates tptp.charles @t1))) % 0.38/0.57 (define @t20 () (tptp.hates tptp.agatha @t1)) % 0.38/0.57 (define @t21 () (forall @t5 (=> @t20 @t19))) % 0.38/0.57 (define @t22 () (not @t8)) % 0.38/0.57 (define @t23 () (forall @t5 (=> @t22 @t20))) % 0.38/0.57 (define @t24 () (tptp.hates tptp.butler @t1)) % 0.38/0.57 (define @t25 () (tptp.richer @t1 tptp.agatha)) % 0.38/0.57 (define @t26 () (not @t25)) % 0.38/0.57 (define @t27 () (forall @t5 (=> @t26 @t24))) % 0.38/0.57 (define @t28 () (forall @t5 (=> @t20 @t24))) % 0.38/0.57 (define @t29 () (not @t13)) % 0.38/0.57 (define @t30 () (@list @t12)) % 0.38/0.57 (define @t31 () (exists @t30 @t29)) % 0.38/0.57 (define @t32 () (forall @t5 @t31)) % 0.38/0.57 (define @t33 () (= tptp.agatha tptp.butler)) % 0.38/0.57 (define @t34 () (tptp.killed tptp.agatha tptp.agatha)) % 0.38/0.57 (define @t35 () (not @t34)) % 0.38/0.57 (define @t36 () (not @t3)) % 0.38/0.57 (define @t37 () (@quantifiers_skolemize (forall @t5 (or @t36 (not @t2))) 0)) % 0.38/0.57 (define @t38 () (@list @t37)) % 0.38/0.57 (define @t39 () (@list @t37 tptp.agatha)) % 0.38/0.57 (define @t40 () (forall @t5 (not @t4))) % 0.38/0.57 (define @t41 () (not @t40)) % 0.38/0.57 (define @t42 () (tptp.killed @t37 tptp.agatha)) % 0.38/0.57 (define @t43 () (not @t42)) % 0.38/0.57 (define @t44 () (tptp.lives @t37)) % 0.38/0.57 (define @t45 () (not @t44)) % 0.38/0.57 (define @t46 () (or @t45 @t43)) % 0.38/0.57 (define @t47 () (@list true)) % 0.38/0.57 (define @t48 () (@list @t46)) % 0.38/0.57 (define @t49 () (tptp.richer @t37 tptp.agatha)) % 0.38/0.57 (define @t50 () (not @t49)) % 0.38/0.57 (define @t51 () (or @t43 @t50)) % 0.38/0.57 (define @t52 () (@list false false)) % 0.38/0.57 (define @t53 () (tptp.hates tptp.butler @t37)) % 0.38/0.57 (define @t54 () (or @t49 @t53)) % 0.38/0.57 (define @t55 () (@list true false)) % 0.38/0.57 (define @t56 () (forall @t30 (not @t29))) % 0.38/0.57 (define @t57 () (not @t56)) % 0.38/0.57 (define @t58 () (= tptp.agatha @t1)) % 0.38/0.57 (define @t59 () (or @t36 @t58 @t8 @t7)) % 0.38/0.57 (define @t60 () (or @t58 @t8 @t7)) % 0.38/0.57 (define @t61 () (= tptp.agatha @t37)) % 0.38/0.57 (define @t62 () (or @t45 @t61 (= @t37 tptp.butler) (= @t37 tptp.charles))) % 0.38/0.57 (define @t63 () (forall @t5 @t59)) % 0.38/0.57 (define @t64 () (= tptp.charles @t37)) % 0.38/0.57 (define @t65 () (= tptp.butler @t37)) % 0.38/0.57 (define @t66 () (or @t45 @t61 @t65 @t64)) % 0.38/0.57 (define @t67 () (@list false)) % 0.38/0.57 (define @t68 () (@list tptp.agatha)) % 0.38/0.57 (define @t69 () (tptp.hates tptp.agatha tptp.agatha)) % 0.38/0.57 (define @t70 () (or @t33 @t69)) % 0.38/0.57 (define @t71 () (tptp.hates tptp.charles tptp.agatha)) % 0.38/0.57 (define @t72 () (not @t71)) % 0.38/0.57 (define @t73 () (not @t69)) % 0.38/0.57 (define @t74 () (or @t73 @t72)) % 0.38/0.57 (define @t75 () (tptp.hates @t37 tptp.agatha)) % 0.38/0.57 (define @t76 () (or @t43 @t75)) % 0.38/0.57 (define @t77 () (not @t75)) % 0.38/0.57 (define @t78 () (not @t64)) % 0.38/0.57 (define @t79 () (= true false)) % 0.38/0.57 (define @t80 () (and @t72 @t64 @t75)) % 0.38/0.57 (define @t81 () (not @t61)) % 0.38/0.57 (define @t82 () (and @t35 @t61 @t42)) % 0.38/0.57 (define @t83 () (@quantifiers_skolemize (forall @t30 (tptp.hates tptp.butler @t12)) 0)) % 0.38/0.57 (define @t84 () (tptp.hates tptp.agatha @t83)) % 0.38/0.57 (define @t85 () (or (= @t83 tptp.butler) @t84)) % 0.38/0.57 (define @t86 () (forall @t5 (or @t8 @t20))) % 0.38/0.57 (define @t87 () (@list @t83)) % 0.38/0.57 (define @t88 () (= tptp.butler @t83)) % 0.38/0.57 (define @t89 () (or @t88 @t84)) % 0.38/0.57 (define @t90 () (tptp.hates tptp.butler @t83)) % 0.38/0.57 (define @t91 () (not @t84)) % 0.38/0.57 (define @t92 () (or @t91 @t90)) % 0.38/0.57 (define @t93 () (not @t88)) % 0.38/0.57 (define @t94 () (not @t53)) % 0.38/0.57 (define @t95 () (not @t65)) % 0.38/0.57 (define @t96 () (not @t90)) % 0.38/0.57 (define @t97 () (and @t53 @t65 @t88 @t96)) % 0.38/0.57 (assume @p1 @t6) % 0.38/0.57 (assume @p2 (tptp.lives tptp.agatha)) % 0.38/0.57 (assume @p3 (tptp.lives tptp.butler)) % 0.38/0.57 (assume @p4 (tptp.lives tptp.charles)) % 0.38/0.57 (assume @p5 @t11) % 0.38/0.57 (assume @p6 @t16) % 0.38/0.57 (assume @p7 @t18) % 0.38/0.57 (assume @p8 @t21) % 0.38/0.57 (assume @p9 @t23) % 0.38/0.57 (assume @p10 @t27) % 0.38/0.57 (assume @p11 @t28) % 0.38/0.57 (assume @p12 @t32) % 0.38/0.57 (assume @p13 (not @t33)) % 0.38/0.57 (assume @p14 @t35) % 0.38/0.57 (assume @p15 true) % 0.38/0.57 (step @p16 :rule refl :args (@t24)) % 0.38/0.57 (step @p17 :rule bool-double-not-elim :args (@t25)) % 0.38/0.57 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or (not @t26) @t24))) % 0.38/0.57 (step @p19 :rule bool-impl-elim :args (@t26 @t24)) % 0.38/0.57 (step @p20 :rule trans :premises (@p19 @p18)) % 0.38/0.57 (step @p21 :rule cong :premises (@p20) :args (@t27)) % 0.38/0.57 (step @p22 :rule eq_resolve :premises (@p10 @p21)) % 0.38/0.57 (step @p23 :rule instantiate :premises (@p22) :args (@t38)) % 0.38/0.57 (step @p24 :rule bool-impl-elim :args (@t14 @t17)) % 0.38/0.57 (step @p25 :rule cong :premises (@p24) :args (@t18)) % 0.38/0.57 (step @p26 :rule eq_resolve :premises (@p7 @p25)) % 0.38/0.57 (step @p27 :rule instantiate :premises (@p26) :args (@t39)) % 0.38/0.57 (step @p28 :rule bool-and-de-morgan :args (@t3 @t2 true)) % 0.38/0.57 (step @p29 :rule cong :premises (@p28) :args (@t40)) % 0.38/0.57 (step @p30 :rule cong :premises (@p29) :args (@t41)) % 0.38/0.57 (step @p31 :rule exists-elim :args ((= @t6 @t41))) % 0.38/0.57 (step @p32 :rule trans :premises (@p31 @p30)) % 0.38/0.57 (step @p33 :rule eq_resolve :premises (@p1 @p32)) % 0.38/0.57 (step @p34 :rule skolemize :premises (@p33)) % 0.38/0.57 (step @p35 :rule bool-double-not-elim :args (@t42)) % 0.38/0.57 (step @p36 :rule refl :args (@t46)) % 0.38/0.57 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t46 (not @t43)))) % 0.38/0.57 (step @p38 :rule cnf_or_neg :args (@t46 1)) % 0.38/0.57 (step @p39 :rule eq_resolve :premises (@p38 @p37)) % 0.38/0.57 (step @p40 :rule reordering :premises (@p39) :args ((or @t42 @t46))) % 0.38/0.57 (step @p41 :rule chain_m_resolution :premises (@p40 @p34) :args (@t42 @t47 @t48)) % 0.38/0.57 (step @p42 :rule cnf_or_pos :args (@t51)) % 0.38/0.57 (step @p43 :rule reordering :premises (@p42) :args ((or @t43 @t50 (not @t51)))) % 0.38/0.57 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p27) :args (@t50 @t52 (@list @t42 @t51))) % 0.38/0.57 (step @p45 :rule cnf_or_pos :args (@t54)) % 0.38/0.57 (step @p46 :rule reordering :premises (@p45) :args ((or @t49 @t53 (not @t54)))) % 0.38/0.57 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p23) :args (@t53 @t55 (@list @t49 @t54))) % 0.38/0.57 (step @p48 :rule bool-double-not-elim :args (@t13)) % 0.38/0.57 (step @p49 :rule cong :premises (@p48) :args (@t56)) % 0.38/0.57 (step @p50 :rule cong :premises (@p49) :args (@t57)) % 0.38/0.57 (step @p51 :rule exists-elim :args ((= @t31 @t57))) % 0.38/0.57 (step @p52 :rule trans :premises (@p51 @p50)) % 0.38/0.57 (step @p53 :rule cong :premises (@p52) :args (@t32)) % 0.38/0.57 (step @p54 :rule eq_resolve :premises (@p12 @p53)) % 0.38/0.57 (step @p55 :rule instantiate :premises (@p54) :args ((@list tptp.butler))) % 0.38/0.57 (step @p56 :rule skolemize :premises (@p55)) % 0.38/0.57 (step @p57 :rule aci_norm :args ((= (or @t36 @t60) @t59))) % 0.38/0.57 (step @p58 :rule bool-impl-elim :args (@t3 @t60)) % 0.38/0.57 (step @p59 :rule trans :premises (@p58 @p57)) % 0.38/0.57 (step @p60 :rule cong :premises (@p59) :args ((forall @t5 (=> @t3 @t60)))) % 0.38/0.57 (step @p61 :rule refl :args (@t7)) % 0.38/0.57 (step @p62 :rule refl :args (@t8)) % 0.38/0.57 (step @p63 :rule eq-symm :args (@t1 tptp.agatha)) % 0.38/0.57 (step @p64 :rule nary_cong :premises (@p63 @p62 @p61) :args (@t9)) % 0.38/0.57 (step @p65 :rule refl :args (@t3)) % 0.38/0.57 (step @p66 :rule cong :premises (@p65 @p64) :args (@t10)) % 0.38/0.57 (step @p67 :rule cong :premises (@p66) :args (@t11)) % 0.38/0.57 (step @p68 :rule trans :premises (@p67 @p60)) % 0.38/0.57 (step @p69 :rule eq_resolve :premises (@p5 @p68)) % 0.38/0.57 (step @p70 :rule eq-symm :args (@t37 tptp.charles)) % 0.38/0.57 (step @p71 :rule eq-symm :args (@t37 tptp.butler)) % 0.38/0.57 (step @p72 :rule refl :args (@t61)) % 0.38/0.57 (step @p73 :rule refl :args (@t45)) % 0.38/0.57 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71 @p70) :args (@t62)) % 0.38/0.57 (step @p75 :rule refl :args (@t63)) % 0.38/0.57 (step @p76 :rule cong :premises (@p75 @p74) :args ((=> @t63 @t62))) % 0.38/0.57 (assume-push @p243 @t63) % 0.38/0.57 (step @p78 :rule instantiate :premises (@p69) :args (@t38)) % 0.38/0.57 (step-pop @p244 :rule scope :premises (@p78)) % 0.38/0.57 (step @p79 :rule process_scope :premises (@p244) :args (@t62)) % 0.38/0.57 (step @p81 :rule eq_resolve :premises (@p79 @p76)) % 0.38/0.57 (step @p82 :rule implies_elim :premises (@p81)) % 0.38/0.57 (step @p83 :rule chain_m_resolution :premises (@p82 @p69) :args (@t66 @t67 (@list @t63))) % 0.38/0.57 (step @p84 :rule bool-impl-elim :args (@t20 @t19)) % 0.38/0.57 (step @p85 :rule cong :premises (@p84) :args (@t21)) % 0.38/0.57 (step @p86 :rule eq_resolve :premises (@p8 @p85)) % 0.38/0.57 (step @p87 :rule instantiate :premises (@p86) :args (@t68)) % 0.38/0.57 (step @p88 :rule refl :args (@t20)) % 0.38/0.57 (step @p89 :rule bool-double-not-elim :args (@t8)) % 0.38/0.57 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or (not @t22) @t20))) % 0.38/0.57 (step @p91 :rule bool-impl-elim :args (@t22 @t20)) % 0.38/0.57 (step @p92 :rule trans :premises (@p91 @p90)) % 0.38/0.57 (step @p93 :rule cong :premises (@p92) :args (@t23)) % 0.38/0.57 (step @p94 :rule eq_resolve :premises (@p9 @p93)) % 0.38/0.57 (step @p95 :rule instantiate :premises (@p94) :args (@t68)) % 0.38/0.57 (step @p96 :rule cnf_or_pos :args (@t70)) % 0.38/0.57 (step @p97 :rule reordering :premises (@p96) :args ((or @t33 @t69 (not @t70)))) % 0.38/0.57 (step @p98 :rule chain_m_resolution :premises (@p97 @p13 @p95) :args (@t69 @t55 (@list @t33 @t70))) % 0.38/0.57 (step @p99 :rule cnf_or_pos :args (@t74)) % 0.38/0.57 (step @p100 :rule reordering :premises (@p99) :args ((or @t73 @t72 (not @t74)))) % 0.38/0.57 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p87) :args (@t72 @t52 (@list @t69 @t74))) % 0.38/0.57 (step @p102 :rule bool-impl-elim :args (@t14 @t13)) % 0.38/0.57 (step @p103 :rule cong :premises (@p102) :args (@t16)) % 0.38/0.57 (step @p104 :rule eq_resolve :premises (@p6 @p103)) % 0.38/0.57 (step @p105 :rule instantiate :premises (@p104) :args (@t39)) % 0.38/0.57 (step @p106 :rule cnf_or_pos :args (@t76)) % 0.38/0.57 (step @p107 :rule reordering :premises (@p106) :args ((or @t43 @t75 (not @t76)))) % 0.38/0.57 (step @p108 :rule chain_m_resolution :premises (@p107 @p41 @p105) :args (@t75 @t52 (@list @t42 @t76))) % 0.38/0.57 (step @p109 :rule bool-double-not-elim :args (@t71)) % 0.38/0.57 (step @p110 :rule refl :args (@t77)) % 0.38/0.57 (step @p111 :rule refl :args (@t78)) % 0.38/0.57 (step @p112 :rule nary_cong :premises (@p111 @p110 @p109) :args ((or @t78 @t77 (not @t72)))) % 0.38/0.57 (assume-push @p245 @t72) % 0.38/0.57 (assume-push @p246 @t64) % 0.38/0.57 (assume-push @p247 @t75) % 0.38/0.57 (step @p116 :rule evaluate :args (@t79)) % 0.38/0.57 (step @p117 :rule false_intro :premises (@p101)) % 0.38/0.57 (step @p118 :rule refl :args (tptp.agatha)) % 0.38/0.57 (step @p119 :rule symm :premises (@p246)) % 0.38/0.57 (step @p120 :rule cong :premises (@p119 @p118) :args (@t75)) % 0.38/0.57 (step @p121 :rule true_intro :premises (@p108)) % 0.38/0.57 (step @p122 :rule symm :premises (@p121)) % 0.38/0.57 (step @p123 :rule trans :premises (@p122 @p120 @p117)) % 0.38/0.57 (step @p124 false :rule eq_resolve :premises (@p123 @p116)) % 0.38/0.57 (step-pop @p248 :rule scope :premises (@p124)) % 0.38/0.57 (step-pop @p249 :rule scope :premises (@p248)) % 0.38/0.57 (step-pop @p250 :rule scope :premises (@p249)) % 0.38/0.57 (step @p125 :rule process_scope :premises (@p250) :args (false)) % 0.38/0.57 (assume-push @p251 @t64) % 0.38/0.57 (assume-push @p252 @t75) % 0.38/0.57 (assume-push @p253 @t72) % 0.38/0.57 (step @p132 :rule and_intro :premises (@p101 @p251 @p108)) % 0.38/0.57 (step-pop @p254 :rule scope :premises (@p132)) % 0.38/0.57 (step-pop @p255 :rule scope :premises (@p254)) % 0.38/0.57 (step-pop @p256 :rule scope :premises (@p255)) % 0.38/0.57 (step @p133 :rule process_scope :premises (@p256) :args (@t80)) % 0.38/0.57 (step @p137 :rule implies_elim :premises (@p133)) % 0.38/0.57 (step @p138 :rule resolution :premises (@p137 @p125) :args (true @t80)) % 0.38/0.57 (step @p139 :rule not_and :premises (@p138)) % 0.38/0.57 (step @p140 :rule eq_resolve :premises (@p139 @p112)) % 0.38/0.57 (step @p141 :rule chain_m_resolution :premises (@p140 @p108 @p101) :args (@t78 (@list false true) (@list @t75 @t71))) % 0.38/0.57 (step @p142 :rule refl :args (@t81)) % 0.38/0.57 (step @p143 :rule refl :args (@t43)) % 0.38/0.57 (step @p144 :rule bool-double-not-elim :args (@t34)) % 0.38/0.57 (step @p145 :rule nary_cong :premises (@p144 @p143 @p142) :args ((or (not @t35) @t43 @t81))) % 0.38/0.57 (assume-push @p257 @t35) % 0.38/0.57 (assume-push @p258 @t61) % 0.38/0.57 (assume-push @p259 @t42) % 0.38/0.57 (step @p116 :rule evaluate :args (@t79)) % 0.38/0.57 (step @p149 :rule false_intro :premises (@p14)) % 0.38/0.57 (step @p118 :rule refl :args (tptp.agatha)) % 0.38/0.57 (step @p150 :rule symm :premises (@p258)) % 0.38/0.57 (step @p151 :rule cong :premises (@p150 @p118) :args (@t42)) % 0.38/0.57 (step @p152 :rule true_intro :premises (@p41)) % 0.38/0.57 (step @p153 :rule symm :premises (@p152)) % 0.38/0.57 (step @p154 :rule trans :premises (@p153 @p151 @p149)) % 0.38/0.57 (step @p155 false :rule eq_resolve :premises (@p154 @p116)) % 0.38/0.57 (step-pop @p260 :rule scope :premises (@p155)) % 0.38/0.57 (step-pop @p261 :rule scope :premises (@p260)) % 0.38/0.57 (step-pop @p262 :rule scope :premises (@p261)) % 0.38/0.57 (step @p156 :rule process_scope :premises (@p262) :args (false)) % 0.38/0.57 (assume-push @p263 @t35) % 0.38/0.57 (assume-push @p264 @t42) % 0.38/0.57 (assume-push @p265 @t61) % 0.38/0.57 (step @p163 :rule and_intro :premises (@p14 @p265 @p41)) % 0.38/0.57 (step-pop @p266 :rule scope :premises (@p163)) % 0.38/0.57 (step-pop @p267 :rule scope :premises (@p266)) % 0.38/0.57 (step-pop @p268 :rule scope :premises (@p267)) % 0.38/0.57 (step @p164 :rule process_scope :premises (@p268) :args (@t82)) % 0.38/0.57 (step @p168 :rule implies_elim :premises (@p164)) % 0.38/0.57 (step @p169 :rule resolution :premises (@p168 @p156) :args (true @t82)) % 0.38/0.57 (step @p170 :rule not_and :premises (@p169)) % 0.38/0.57 (step @p171 :rule eq_resolve :premises (@p170 @p145)) % 0.38/0.57 (step @p172 :rule chain_m_resolution :premises (@p171 @p14 @p41) :args (@t81 @t55 (@list @t34 @t42))) % 0.38/0.57 (step @p173 :rule bool-double-not-elim :args (@t44)) % 0.38/0.57 (step @p174 :rule nary_cong :premises (@p36 @p173) :args ((or @t46 (not @t45)))) % 0.38/0.57 (step @p175 :rule cnf_or_neg :args (@t46 0)) % 0.38/0.57 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 0.38/0.57 (step @p177 :rule reordering :premises (@p176) :args ((or @t44 @t46))) % 0.38/0.57 (step @p178 :rule chain_m_resolution :premises (@p177 @p34) :args (@t44 @t47 @t48)) % 0.38/0.57 (step @p179 :rule cnf_or_pos :args (@t66)) % 0.38/0.57 (step @p180 :rule reordering :premises (@p179) :args ((or @t45 @t61 @t65 @t64 (not @t66)))) % 0.38/0.57 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p172 @p141 @p83) :args (@t65 (@list false true true false) (@list @t44 @t61 @t64 @t66))) % 0.38/0.57 (step @p182 :rule refl :args (@t84)) % 0.38/0.57 (step @p183 :rule eq-symm :args (@t83 tptp.butler)) % 0.38/0.57 (step @p184 :rule nary_cong :premises (@p183 @p182) :args (@t85)) % 0.38/0.57 (step @p185 :rule refl :args (@t86)) % 0.38/0.57 (step @p186 :rule cong :premises (@p185 @p184) :args ((=> @t86 @t85))) % 0.38/0.57 (assume-push @p269 @t86) % 0.38/0.57 (step @p188 :rule instantiate :premises (@p94) :args (@t87)) % 0.38/0.57 (step-pop @p270 :rule scope :premises (@p188)) % 0.38/0.57 (step @p189 :rule process_scope :premises (@p270) :args (@t85)) % 0.38/0.57 (step @p191 :rule eq_resolve :premises (@p189 @p186)) % 0.38/0.57 (step @p192 :rule implies_elim :premises (@p191)) % 0.38/0.57 (step @p193 :rule chain_m_resolution :premises (@p192 @p94) :args (@t89 @t67 (@list @t86))) % 0.38/0.57 (step @p194 :rule bool-impl-elim :args (@t20 @t24)) % 0.38/0.57 (step @p195 :rule cong :premises (@p194) :args (@t28)) % 0.38/0.57 (step @p196 :rule eq_resolve :premises (@p11 @p195)) % 0.38/0.57 (step @p197 :rule instantiate :premises (@p196) :args (@t87)) % 0.38/0.57 (step @p198 :rule cnf_or_pos :args (@t92)) % 0.38/0.57 (step @p199 :rule reordering :premises (@p198) :args ((or @t90 @t91 (not @t92)))) % 0.38/0.57 (step @p200 :rule chain_m_resolution :premises (@p199 @p56 @p197) :args (@t91 @t55 (@list @t90 @t92))) % 0.38/0.57 (step @p201 :rule cnf_or_pos :args (@t89)) % 0.38/0.57 (step @p202 :rule reordering :premises (@p201) :args ((or @t84 @t88 (not @t89)))) % 0.38/0.57 (step @p203 :rule chain_m_resolution :premises (@p202 @p200 @p193) :args (@t88 @t55 (@list @t84 @t89))) % 0.38/0.57 (step @p204 :rule refl :args (@t93)) % 0.38/0.57 (step @p205 :rule bool-double-not-elim :args (@t90)) % 0.38/0.57 (step @p206 :rule refl :args (@t94)) % 0.38/0.57 (step @p207 :rule refl :args (@t95)) % 0.38/0.57 (step @p208 :rule nary_cong :premises (@p207 @p206 @p205 @p204) :args ((or @t95 @t94 (not @t96) @t93))) % 0.38/0.57 (assume-push @p271 @t53) % 0.38/0.57 (assume-push @p272 @t65) % 0.38/0.57 (assume-push @p273 @t88) % 0.38/0.57 (assume-push @p274 @t96) % 0.38/0.57 (step @p213 :rule evaluate :args ((= false true))) % 0.38/0.57 (step @p214 :rule true_intro :premises (@p47)) % 0.38/0.57 (step @p215 :rule refl :args (tptp.butler)) % 0.38/0.57 (step @p216 :rule cong :premises (@p215 @p272) :args ((tptp.hates tptp.butler tptp.butler))) % 0.38/0.57 (step @p217 :rule symm :premises (@p203)) % 0.38/0.57 (step @p218 :rule cong :premises (@p215 @p217) :args (@t90)) % 0.38/0.57 (step @p219 :rule false_intro :premises (@p56)) % 0.38/0.57 (step @p220 :rule symm :premises (@p219)) % 0.38/0.57 (step @p221 :rule trans :premises (@p220 @p218 @p216 @p214)) % 0.38/0.57 (step @p222 false :rule eq_resolve :premises (@p221 @p213)) % 0.38/0.57 (step-pop @p275 :rule scope :premises (@p222)) % 0.38/0.57 (step-pop @p276 :rule scope :premises (@p275)) % 0.38/0.57 (step-pop @p277 :rule scope :premises (@p276)) % 0.38/0.57 (step-pop @p278 :rule scope :premises (@p277)) % 0.38/0.57 (step @p223 :rule process_scope :premises (@p278) :args (false)) % 0.38/0.57 (assume-push @p279 @t65) % 0.38/0.57 (assume-push @p280 @t53) % 0.38/0.57 (assume-push @p281 @t96) % 0.38/0.57 (assume-push @p282 @t88) % 0.38/0.57 (step @p232 :rule and_intro :premises (@p47 @p279 @p203 @p56)) % 0.38/0.58 (step-pop @p283 :rule scope :premises (@p232)) % 0.38/0.58 (step-pop @p284 :rule scope :premises (@p283)) % 0.38/0.58 (step-pop @p285 :rule scope :premises (@p284)) % 0.38/0.58 (step-pop @p286 :rule scope :premises (@p285)) % 0.38/0.58 (step @p233 :rule process_scope :premises (@p286) :args (@t97)) % 0.38/0.58 (step @p238 :rule implies_elim :premises (@p233)) % 0.38/0.58 (step @p239 :rule resolution :premises (@p238 @p223) :args (true @t97)) % 0.38/0.58 (step @p240 :rule not_and :premises (@p239)) % 0.38/0.58 (step @p241 :rule eq_resolve :premises (@p240 @p208)) % 0.38/0.58 (step @p242 false :rule chain_m_resolution :premises (@p241 @p203 @p181 @p56 @p47) :args (false (@list false false true false) (@list @t88 @t65 @t90 @t53))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------