%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET018-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:46:58 AM UTC 2026 % Result : Unsatisfiable 0.32s 0.57s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET018-1 : TPTP v9.2.1. Released v1.0.0. % 0.14/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n021.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 14:41:50 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.57 % SZS status Unsatisfiable % 0.32/0.57 % SZS output start Proof % 0.32/0.57 ( % 0.32/0.57 (declare-sort $$unsorted 0) % 0.32/0.57 (declare-const tptp.m1 $$unsorted) % 0.32/0.57 (declare-const tptp.r1 $$unsorted) % 0.32/0.57 (declare-const tptp.m2 $$unsorted) % 0.32/0.57 (declare-const tptp.r2 $$unsorted) % 0.32/0.57 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.57 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.singleton_set (-> $$unsorted $$unsorted)) % 0.32/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.32/0.57 (define @t2 () (tptp.singleton_set @t1)) % 0.32/0.57 (define @t3 () (@var "Y" $$unsorted)) % 0.32/0.57 (define @t4 () (= @t1 @t3)) % 0.32/0.57 (define @t5 () (@list @t1 @t3)) % 0.32/0.57 (define @t6 () (forall @t5 (or (not (tptp.member @t1 (tptp.singleton_set @t3))) @t4))) % 0.32/0.57 (define @t7 () (tptp.unordered_pair @t1 @t3)) % 0.32/0.57 (define @t8 () (@var "Z" $$unsorted)) % 0.32/0.57 (define @t9 () (forall (@list @t1 @t3 @t8) (or (not (tptp.member @t1 (tptp.unordered_pair @t3 @t8))) @t4 (= @t1 @t8)))) % 0.32/0.57 (define @t10 () (= tptp.r1 tptp.r2)) % 0.32/0.57 (define @t11 () (not @t10)) % 0.32/0.57 (define @t12 () (@list tptp.m2 tptp.r2)) % 0.32/0.57 (define @t13 () (tptp.singleton_set tptp.m1)) % 0.32/0.57 (define @t14 () (tptp.member tptp.m2 @t13)) % 0.32/0.57 (define @t15 () (not @t14)) % 0.32/0.57 (define @t16 () (or @t15 (= tptp.m2 tptp.m1))) % 0.32/0.57 (define @t17 () (= tptp.m1 tptp.m2)) % 0.32/0.57 (define @t18 () (or @t15 @t17)) % 0.32/0.57 (define @t19 () (@list false)) % 0.32/0.57 (define @t20 () (tptp.unordered_pair tptp.m1 tptp.r1)) % 0.32/0.57 (define @t21 () (tptp.unordered_pair tptp.m2 tptp.r2)) % 0.32/0.57 (define @t22 () (tptp.singleton_set tptp.m2)) % 0.32/0.57 (define @t23 () (tptp.unordered_pair @t22 @t21)) % 0.32/0.57 (define @t24 () (tptp.member @t20 @t23)) % 0.32/0.57 (define @t25 () (= @t20 @t21)) % 0.32/0.57 (define @t26 () (= @t20 @t22)) % 0.32/0.57 (define @t27 () (not @t24)) % 0.32/0.57 (define @t28 () (or @t27 @t26 @t25)) % 0.32/0.57 (define @t29 () (tptp.member @t21 (tptp.unordered_pair @t13 @t20))) % 0.32/0.57 (define @t30 () (not @t29)) % 0.32/0.57 (define @t31 () (or @t30 (= @t21 @t13) (= @t21 @t20))) % 0.32/0.57 (define @t32 () (= @t13 @t21)) % 0.32/0.57 (define @t33 () (or @t30 @t32 @t25)) % 0.32/0.57 (define @t34 () (@list @t9)) % 0.32/0.57 (define @t35 () (not @t32)) % 0.32/0.57 (define @t36 () (not @t17)) % 0.32/0.57 (define @t37 () (not @t26)) % 0.32/0.57 (define @t38 () (not @t25)) % 0.32/0.57 (define @t39 () (= @t13 @t22)) % 0.32/0.57 (define @t40 () (and @t26 @t38 @t17)) % 0.32/0.57 (define @t41 () (tptp.member tptp.r1 @t20)) % 0.32/0.57 (define @t42 () (tptp.member tptp.r1 @t21)) % 0.32/0.57 (define @t43 () (and @t41 @t25)) % 0.32/0.57 (define @t44 () (tptp.member tptp.r2 @t21)) % 0.32/0.57 (define @t45 () (tptp.member tptp.r2 @t20)) % 0.32/0.57 (define @t46 () (and @t44 @t25)) % 0.32/0.57 (define @t47 () (= tptp.r1 tptp.m2)) % 0.32/0.57 (define @t48 () (not @t42)) % 0.32/0.57 (define @t49 () (or @t48 @t47 @t10)) % 0.32/0.57 (define @t50 () (not @t45)) % 0.32/0.57 (define @t51 () (or @t50 (= tptp.r2 tptp.m1) (= tptp.r2 tptp.r1))) % 0.32/0.57 (define @t52 () (= tptp.m1 tptp.r2)) % 0.32/0.57 (define @t53 () (or @t50 @t52 @t10)) % 0.32/0.57 (define @t54 () (not @t52)) % 0.32/0.57 (define @t55 () (not @t47)) % 0.32/0.57 (define @t56 () (and @t11 @t17 @t47)) % 0.32/0.57 (define @t57 () (@list true false)) % 0.32/0.57 (define @t58 () (tptp.member tptp.m1 @t22)) % 0.32/0.57 (define @t59 () (not @t58)) % 0.32/0.57 (define @t60 () (or @t59 @t17)) % 0.32/0.57 (define @t61 () (not @t39)) % 0.32/0.57 (define @t62 () (tptp.member tptp.m1 @t13)) % 0.32/0.57 (define @t63 () (not @t62)) % 0.32/0.57 (define @t64 () (tptp.member @t13 @t23)) % 0.32/0.57 (define @t65 () (not @t64)) % 0.32/0.57 (define @t66 () (or @t65 @t39 @t32)) % 0.32/0.57 (define @t67 () (@list false true false)) % 0.40/0.57 (define @t68 () (tptp.member tptp.m2 @t21)) % 0.40/0.57 (define @t69 () (not @t68)) % 0.40/0.57 (define @t70 () (and @t15 @t32 @t68)) % 0.40/0.57 (assume @p1 (forall (@list @t1) (tptp.member @t1 @t2))) % 0.40/0.57 (assume @p2 @t6) % 0.40/0.57 (assume @p3 (forall @t5 (tptp.member @t1 @t7))) % 0.40/0.57 (assume @p4 (forall (@list @t3 @t1) (tptp.member @t3 @t7))) % 0.40/0.57 (assume @p5 @t9) % 0.40/0.57 (assume @p6 (forall @t5 (= (tptp.ordered_pair @t1 @t3) (tptp.unordered_pair @t2 @t7)))) % 0.40/0.57 (assume @p7 (= (tptp.ordered_pair tptp.m1 tptp.r1) (tptp.ordered_pair tptp.m2 tptp.r2))) % 0.40/0.57 (assume @p8 @t11) % 0.40/0.57 (step @p9 :rule instantiate :premises (@p3) :args (@t12)) % 0.40/0.57 (step @p10 :rule eq-symm :args (tptp.m2 tptp.m1)) % 0.40/0.57 (step @p11 :rule refl :args (@t15)) % 0.40/0.57 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t16)) % 0.40/0.57 (step @p13 :rule refl :args (@t6)) % 0.40/0.57 (step @p14 :rule cong :premises (@p13 @p12) :args ((=> @t6 @t16))) % 0.40/0.57 (assume-push @p261 @t6) % 0.40/0.57 (step @p16 :rule instantiate :premises (@p2) :args ((@list tptp.m2 tptp.m1))) % 0.40/0.57 (step-pop @p262 :rule scope :premises (@p16)) % 0.40/0.57 (step @p17 :rule process_scope :premises (@p262) :args (@t16)) % 0.40/0.57 (step @p19 :rule eq_resolve :premises (@p17 @p14)) % 0.40/0.57 (step @p20 :rule implies_elim :premises (@p19)) % 0.40/0.57 (step @p21 :rule chain_m_resolution :premises (@p20 @p2) :args (@t18 @t19 (@list @t6))) % 0.40/0.57 (step @p22 :rule instantiate :premises (@p4) :args ((@list @t20 @t13))) % 0.40/0.57 (step @p23 :rule true_intro :premises (@p22)) % 0.40/0.57 (step @p24 :rule instantiate :premises (@p6) :args ((@list tptp.m1 tptp.r1))) % 0.40/0.57 (step @p25 :rule symm :premises (@p7)) % 0.40/0.57 (step @p26 :rule instantiate :premises (@p6) :args (@t12)) % 0.40/0.57 (step @p27 :rule symm :premises (@p26)) % 0.40/0.57 (step @p28 :rule trans :premises (@p27 @p25 @p24)) % 0.40/0.57 (step @p29 :rule refl :args (@t20)) % 0.40/0.57 (step @p30 :rule cong :premises (@p29 @p28) :args (@t24)) % 0.40/0.57 (step @p31 :rule trans :premises (@p30 @p23)) % 0.40/0.57 (step @p32 :rule true_elim :premises (@p31)) % 0.40/0.57 (step @p33 :rule instantiate :premises (@p5) :args ((@list @t20 @t22 @t21))) % 0.40/0.57 (step @p34 :rule cnf_or_pos :args (@t28)) % 0.40/0.57 (step @p35 :rule reordering :premises (@p34) :args ((or @t26 @t27 @t25 (not @t28)))) % 0.40/0.57 (step @p36 :rule instantiate :premises (@p4) :args ((@list @t21 @t22))) % 0.40/0.57 (step @p37 :rule true_intro :premises (@p36)) % 0.40/0.57 (step @p38 :rule symm :premises (@p24)) % 0.40/0.57 (step @p39 :rule trans :premises (@p38 @p7 @p26)) % 0.40/0.57 (step @p40 :rule refl :args (@t21)) % 0.40/0.57 (step @p41 :rule cong :premises (@p40 @p39) :args (@t29)) % 0.40/0.57 (step @p42 :rule trans :premises (@p41 @p37)) % 0.40/0.57 (step @p43 :rule true_elim :premises (@p42)) % 0.40/0.57 (step @p44 :rule eq-symm :args (@t21 @t20)) % 0.40/0.57 (step @p45 :rule eq-symm :args (@t21 @t13)) % 0.40/0.57 (step @p46 :rule refl :args (@t30)) % 0.40/0.57 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44) :args (@t31)) % 0.40/0.57 (step @p48 :rule refl :args (@t9)) % 0.40/0.57 (step @p49 :rule cong :premises (@p48 @p47) :args ((=> @t9 @t31))) % 0.40/0.57 (assume-push @p263 @t9) % 0.40/0.57 (step @p51 :rule instantiate :premises (@p5) :args ((@list @t21 @t13 @t20))) % 0.40/0.57 (step-pop @p264 :rule scope :premises (@p51)) % 0.40/0.57 (step @p52 :rule process_scope :premises (@p264) :args (@t31)) % 0.40/0.57 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 0.40/0.57 (step @p55 :rule implies_elim :premises (@p54)) % 0.40/0.57 (step @p56 :rule chain_m_resolution :premises (@p55 @p5) :args (@t33 @t19 @t34)) % 0.40/0.57 (step @p57 :rule cnf_or_pos :args (@t33)) % 0.40/0.57 (step @p58 :rule reordering :premises (@p57) :args ((or @t32 @t25 @t30 (not @t33)))) % 0.40/0.57 (step @p59 :rule refl :args (@t35)) % 0.40/0.57 (step @p60 :rule refl :args (@t36)) % 0.40/0.57 (step @p61 :rule bool-double-not-elim :args (@t25)) % 0.40/0.57 (step @p62 :rule refl :args (@t37)) % 0.40/0.57 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60 @p59) :args ((or @t37 (not @t38) @t36 @t35))) % 0.40/0.57 (assume-push @p265 @t26) % 0.40/0.57 (assume-push @p266 @t38) % 0.40/0.57 (assume-push @p267 @t17) % 0.40/0.57 (assume-push @p268 @t38) % 0.40/0.57 (assume-push @p269 @t26) % 0.40/0.57 (assume-push @p270 @t39) % 0.40/0.57 (step @p70 :rule false_intro :premises (@p266)) % 0.40/0.57 (step @p71 :rule symm :premises (@p265)) % 0.40/0.57 (step @p72 :rule trans :premises (@p270 @p71)) % 0.40/0.57 (step @p73 :rule cong :premises (@p72 @p40) :args (@t32)) % 0.40/0.57 (step @p74 :rule trans :premises (@p73 @p70)) % 0.40/0.57 (step @p75 :rule false_elim :premises (@p74)) % 0.40/0.57 (step-pop @p271 :rule scope :premises (@p75)) % 0.40/0.57 (step-pop @p272 :rule scope :premises (@p271)) % 0.40/0.57 (step-pop @p273 :rule scope :premises (@p272)) % 0.40/0.57 (step @p76 :rule process_scope :premises (@p273) :args (@t35)) % 0.40/0.57 (assume-push @p274 @t17) % 0.40/0.57 (step @p81 :rule cong :premises (@p267) :args (@t13)) % 0.40/0.57 (step-pop @p275 :rule scope :premises (@p81)) % 0.40/0.57 (step @p82 :rule process_scope :premises (@p275) :args (@t39)) % 0.40/0.57 (step @p84 :rule modus_ponens :premises (@p267 @p82)) % 0.40/0.57 (step @p85 :rule and_intro :premises (@p266 @p265 @p84)) % 0.40/0.57 (step @p86 :rule modus_ponens :premises (@p85 @p76)) % 0.40/0.57 (step-pop @p276 :rule scope :premises (@p86)) % 0.40/0.57 (step-pop @p277 :rule scope :premises (@p276)) % 0.40/0.57 (step-pop @p278 :rule scope :premises (@p277)) % 0.40/0.57 (step @p87 :rule process_scope :premises (@p278) :args (@t35)) % 0.40/0.57 (step @p91 :rule implies_elim :premises (@p87)) % 0.40/0.57 (step @p92 :rule cnf_and_neg :args (@t40)) % 0.40/0.57 (step @p93 :rule resolution :premises (@p92 @p91) :args (true @t40)) % 0.40/0.57 (step @p94 :rule eq_resolve :premises (@p93 @p63)) % 0.40/0.57 (step @p95 :rule reordering :premises (@p94) :args ((or @t25 @t35 @t37 @t36))) % 0.40/0.57 (step @p96 :rule chain_m_resolution :premises (@p95 @p58 @p56 @p43 @p35 @p33 @p32) :args ((or @t25 @t36) (@list false false false false false false) (@list @t32 @t33 @t29 @t26 @t28 @t24))) % 0.40/0.57 (step @p97 :rule instantiate :premises (@p4) :args ((@list tptp.r1 tptp.m1))) % 0.40/0.57 (assume-push @p279 @t41) % 0.40/0.57 (assume-push @p280 @t25) % 0.40/0.57 (assume-push @p281 @t41) % 0.40/0.57 (assume-push @p282 @t25) % 0.40/0.57 (step @p102 :rule true_intro :premises (@p97)) % 0.40/0.57 (step @p103 :rule symm :premises (@p280)) % 0.40/0.57 (step @p104 :rule refl :args (tptp.r1)) % 0.40/0.57 (step @p105 :rule cong :premises (@p104 @p103) :args (@t42)) % 0.40/0.57 (step @p106 :rule trans :premises (@p105 @p102)) % 0.40/0.57 (step @p107 :rule true_elim :premises (@p106)) % 0.40/0.57 (step-pop @p283 :rule scope :premises (@p107)) % 0.40/0.57 (step-pop @p284 :rule scope :premises (@p283)) % 0.40/0.57 (step @p108 :rule process_scope :premises (@p284) :args (@t42)) % 0.40/0.57 (step @p111 :rule and_intro :premises (@p97 @p280)) % 0.40/0.57 (step @p112 :rule modus_ponens :premises (@p111 @p108)) % 0.40/0.57 (step-pop @p285 :rule scope :premises (@p112)) % 0.40/0.57 (step-pop @p286 :rule scope :premises (@p285)) % 0.40/0.57 (step @p113 :rule process_scope :premises (@p286) :args (@t42)) % 0.40/0.57 (step @p116 :rule implies_elim :premises (@p113)) % 0.40/0.57 (step @p117 :rule cnf_and_neg :args (@t43)) % 0.40/0.57 (step @p118 :rule resolution :premises (@p117 @p116) :args (true @t43)) % 0.40/0.58 (step @p119 :rule instantiate :premises (@p4) :args ((@list tptp.r2 tptp.m2))) % 0.40/0.58 (assume-push @p287 @t44) % 0.40/0.58 (assume-push @p288 @t25) % 0.40/0.58 (assume-push @p289 @t44) % 0.40/0.58 (assume-push @p290 @t25) % 0.40/0.58 (step @p124 :rule true_intro :premises (@p119)) % 0.40/0.58 (step @p125 :rule refl :args (tptp.r2)) % 0.40/0.58 (step @p126 :rule cong :premises (@p125 @p288) :args (@t45)) % 0.40/0.58 (step @p127 :rule trans :premises (@p126 @p124)) % 0.40/0.58 (step @p128 :rule true_elim :premises (@p127)) % 0.40/0.58 (step-pop @p291 :rule scope :premises (@p128)) % 0.40/0.58 (step-pop @p292 :rule scope :premises (@p291)) % 0.40/0.58 (step @p129 :rule process_scope :premises (@p292) :args (@t45)) % 0.40/0.58 (step @p132 :rule and_intro :premises (@p119 @p288)) % 0.40/0.58 (step @p133 :rule modus_ponens :premises (@p132 @p129)) % 0.40/0.58 (step-pop @p293 :rule scope :premises (@p133)) % 0.40/0.58 (step-pop @p294 :rule scope :premises (@p293)) % 0.40/0.58 (step @p134 :rule process_scope :premises (@p294) :args (@t45)) % 0.40/0.58 (step @p137 :rule implies_elim :premises (@p134)) % 0.40/0.58 (step @p138 :rule cnf_and_neg :args (@t46)) % 0.40/0.58 (step @p139 :rule resolution :premises (@p138 @p137) :args (true @t46)) % 0.40/0.58 (step @p140 :rule instantiate :premises (@p5) :args ((@list tptp.r1 tptp.m2 tptp.r2))) % 0.40/0.58 (step @p141 :rule cnf_or_pos :args (@t49)) % 0.40/0.58 (step @p142 :rule reordering :premises (@p141) :args ((or @t10 @t47 @t48 (not @t49)))) % 0.40/0.58 (step @p143 :rule eq-symm :args (tptp.r2 tptp.r1)) % 0.40/0.58 (step @p144 :rule eq-symm :args (tptp.r2 tptp.m1)) % 0.40/0.58 (step @p145 :rule refl :args (@t50)) % 0.40/0.58 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143) :args (@t51)) % 0.40/0.58 (step @p147 :rule cong :premises (@p48 @p146) :args ((=> @t9 @t51))) % 0.40/0.58 (assume-push @p295 @t9) % 0.40/0.58 (step @p149 :rule instantiate :premises (@p5) :args ((@list tptp.r2 tptp.m1 tptp.r1))) % 0.40/0.58 (step-pop @p296 :rule scope :premises (@p149)) % 0.40/0.58 (step @p150 :rule process_scope :premises (@p296) :args (@t51)) % 0.40/0.58 (step @p152 :rule eq_resolve :premises (@p150 @p147)) % 0.40/0.58 (step @p153 :rule implies_elim :premises (@p152)) % 0.40/0.58 (step @p154 :rule chain_m_resolution :premises (@p153 @p5) :args (@t53 @t19 @t34)) % 0.40/0.58 (step @p155 :rule cnf_or_pos :args (@t53)) % 0.40/0.58 (step @p156 :rule reordering :premises (@p155) :args ((or @t10 @t52 @t50 (not @t53)))) % 0.40/0.58 (step @p157 :rule refl :args (@t54)) % 0.40/0.58 (step @p158 :rule refl :args (@t55)) % 0.40/0.58 (step @p159 :rule bool-double-not-elim :args (@t10)) % 0.40/0.58 (step @p160 :rule nary_cong :premises (@p159 @p60 @p158 @p157) :args ((or (not @t11) @t36 @t55 @t54))) % 0.40/0.58 (assume-push @p297 @t11) % 0.40/0.58 (assume-push @p298 @t17) % 0.40/0.58 (assume-push @p299 @t47) % 0.40/0.58 (assume-push @p300 @t11) % 0.40/0.58 (assume-push @p301 @t47) % 0.40/0.58 (assume-push @p302 @t17) % 0.40/0.58 (step @p167 :rule false_intro :premises (@p8)) % 0.40/0.58 (step @p125 :rule refl :args (tptp.r2)) % 0.40/0.58 (step @p168 :rule symm :premises (@p299)) % 0.40/0.58 (step @p169 :rule trans :premises (@p298 @p168)) % 0.40/0.58 (step @p170 :rule cong :premises (@p169 @p125) :args (@t52)) % 0.40/0.58 (step @p171 :rule trans :premises (@p170 @p167)) % 0.40/0.58 (step @p172 :rule false_elim :premises (@p171)) % 0.40/0.58 (step-pop @p303 :rule scope :premises (@p172)) % 0.40/0.58 (step-pop @p304 :rule scope :premises (@p303)) % 0.40/0.58 (step-pop @p305 :rule scope :premises (@p304)) % 0.40/0.58 (step @p173 :rule process_scope :premises (@p305) :args (@t54)) % 0.40/0.58 (step @p177 :rule and_intro :premises (@p8 @p299 @p298)) % 0.40/0.58 (step @p178 :rule modus_ponens :premises (@p177 @p173)) % 0.40/0.58 (step-pop @p306 :rule scope :premises (@p178)) % 0.40/0.58 (step-pop @p307 :rule scope :premises (@p306)) % 0.40/0.58 (step-pop @p308 :rule scope :premises (@p307)) % 0.40/0.58 (step @p179 :rule process_scope :premises (@p308) :args (@t54)) % 0.40/0.58 (step @p183 :rule implies_elim :premises (@p179)) % 0.40/0.58 (step @p184 :rule cnf_and_neg :args (@t56)) % 0.40/0.58 (step @p185 :rule resolution :premises (@p184 @p183) :args (true @t56)) % 0.40/0.58 (step @p186 :rule eq_resolve :premises (@p185 @p160)) % 0.40/0.58 (step @p187 :rule chain_m_resolution :premises (@p186 @p8 @p156 @p154 @p8 @p142 @p140 @p8 @p139 @p119 @p118 @p97 @p96) :args (@t36 (@list true false false true false false true false false false false false) (@list @t10 @t52 @t53 @t10 @t47 @t49 @t10 @t45 @t44 @t42 @t41 @t25))) % 0.40/0.58 (step @p188 :rule cnf_or_pos :args (@t18)) % 0.40/0.58 (step @p189 :rule reordering :premises (@p188) :args ((or @t17 @t15 (not @t18)))) % 0.40/0.58 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p21) :args (@t15 @t57 (@list @t17 @t18))) % 0.40/0.58 (step @p191 :rule instantiate :premises (@p5) :args ((@list @t13 @t22 @t21))) % 0.40/0.58 (step @p192 :rule instantiate :premises (@p2) :args ((@list tptp.m1 tptp.m2))) % 0.40/0.58 (step @p193 :rule cnf_or_pos :args (@t60)) % 0.40/0.58 (step @p194 :rule reordering :premises (@p193) :args ((or @t59 @t17 (not @t60)))) % 0.40/0.58 (step @p195 :rule chain_m_resolution :premises (@p194 @p187 @p192) :args (@t59 @t57 (@list @t17 @t60))) % 0.40/0.58 (step @p196 :rule instantiate :premises (@p1) :args ((@list tptp.m1))) % 0.40/0.58 (step @p197 :rule bool-double-not-elim :args (@t58)) % 0.40/0.58 (step @p198 :rule refl :args (@t61)) % 0.40/0.58 (step @p199 :rule refl :args (@t63)) % 0.40/0.58 (step @p200 :rule nary_cong :premises (@p199 @p198 @p197) :args ((or @t63 @t61 (not @t59)))) % 0.40/0.58 (assume-push @p309 @t62) % 0.40/0.58 (assume-push @p310 @t39) % 0.40/0.58 (assume-push @p311 @t59) % 0.40/0.58 (step @p204 :rule evaluate :args ((= false true))) % 0.40/0.58 (step @p205 :rule true_intro :premises (@p196)) % 0.40/0.58 (step @p206 :rule symm :premises (@p310)) % 0.40/0.58 (step @p207 :rule refl :args (tptp.m1)) % 0.40/0.58 (step @p208 :rule cong :premises (@p207 @p206) :args (@t58)) % 0.40/0.58 (step @p209 :rule false_intro :premises (@p311)) % 0.40/0.58 (step @p210 :rule symm :premises (@p209)) % 0.40/0.58 (step @p211 :rule trans :premises (@p210 @p208 @p205)) % 0.40/0.58 (step @p212 false :rule eq_resolve :premises (@p211 @p204)) % 0.40/0.58 (step-pop @p312 :rule scope :premises (@p212)) % 0.40/0.58 (step-pop @p313 :rule scope :premises (@p312)) % 0.40/0.58 (step-pop @p314 :rule scope :premises (@p313)) % 0.40/0.58 (step @p213 :rule process_scope :premises (@p314) :args (false)) % 0.40/0.58 (step @p217 :rule not_and :premises (@p213)) % 0.40/0.58 (step @p218 :rule eq_resolve :premises (@p217 @p200)) % 0.40/0.58 (step @p219 :rule chain_m_resolution :premises (@p218 @p196 @p195) :args (@t61 (@list false true) (@list @t62 @t58))) % 0.40/0.58 (step @p220 :rule instantiate :premises (@p3) :args ((@list @t13 @t20))) % 0.40/0.58 (step @p221 :rule true_intro :premises (@p220)) % 0.40/0.58 (step @p222 :rule refl :args (@t13)) % 0.40/0.58 (step @p223 :rule cong :premises (@p222 @p28) :args (@t64)) % 0.40/0.58 (step @p224 :rule trans :premises (@p223 @p221)) % 0.40/0.58 (step @p225 :rule true_elim :premises (@p224)) % 0.40/0.58 (step @p226 :rule cnf_or_pos :args (@t66)) % 0.40/0.58 (step @p227 :rule reordering :premises (@p226) :args ((or @t65 @t39 @t32 (not @t66)))) % 0.40/0.58 (step @p228 :rule chain_m_resolution :premises (@p227 @p225 @p219 @p191) :args (@t32 @t67 (@list @t64 @t39 @t66))) % 0.40/0.58 (step @p229 :rule bool-double-not-elim :args (@t14)) % 0.40/0.58 (step @p230 :rule refl :args (@t69)) % 0.40/0.58 (step @p231 :rule nary_cong :premises (@p230 @p59 @p229) :args ((or @t69 @t35 (not @t15)))) % 0.40/0.58 (assume-push @p315 @t15) % 0.40/0.58 (assume-push @p316 @t32) % 0.40/0.58 (assume-push @p317 @t68) % 0.40/0.58 (step @p235 :rule evaluate :args ((= true false))) % 0.40/0.58 (step @p236 :rule false_intro :premises (@p315)) % 0.40/0.58 (step @p237 :rule symm :premises (@p316)) % 0.40/0.58 (step @p238 :rule refl :args (tptp.m2)) % 0.40/0.58 (step @p239 :rule cong :premises (@p238 @p237) :args (@t68)) % 0.40/0.58 (step @p240 :rule true_intro :premises (@p9)) % 0.40/0.58 (step @p241 :rule symm :premises (@p240)) % 0.40/0.58 (step @p242 :rule trans :premises (@p241 @p239 @p236)) % 0.40/0.58 (step @p243 false :rule eq_resolve :premises (@p242 @p235)) % 0.40/0.58 (step-pop @p318 :rule scope :premises (@p243)) % 0.40/0.58 (step-pop @p319 :rule scope :premises (@p318)) % 0.40/0.58 (step-pop @p320 :rule scope :premises (@p319)) % 0.40/0.58 (step @p244 :rule process_scope :premises (@p320) :args (false)) % 0.40/0.58 (assume-push @p321 @t68) % 0.40/0.58 (assume-push @p322 @t32) % 0.40/0.58 (assume-push @p323 @t15) % 0.40/0.58 (step @p251 :rule and_intro :premises (@p323 @p322 @p9)) % 0.40/0.58 (step-pop @p324 :rule scope :premises (@p251)) % 0.40/0.58 (step-pop @p325 :rule scope :premises (@p324)) % 0.40/0.58 (step-pop @p326 :rule scope :premises (@p325)) % 0.40/0.58 (step @p252 :rule process_scope :premises (@p326) :args (@t70)) % 0.40/0.58 (step @p256 :rule implies_elim :premises (@p252)) % 0.40/0.58 (step @p257 :rule resolution :premises (@p256 @p244) :args (true @t70)) % 0.40/0.58 (step @p258 :rule not_and :premises (@p257)) % 0.40/0.58 (step @p259 :rule eq_resolve :premises (@p258 @p231)) % 0.40/0.58 (step @p260 false :rule chain_m_resolution :premises (@p259 @p228 @p190 @p9) :args (false @t67 (@list @t32 @t14 @t68))) % 0.40/0.58 ) % 0.40/0.58 % SZS output end Proof % 0.40/0.58 % cvc5 exiting %------------------------------------------------------------------------------