%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO520^1 : 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 : n012.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 09:13:03 AM UTC 2026 % Result : Unsatisfiable 0.16s 0.35s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYO520^1 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Wed Jun 3 00:18:48 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TH0 % 0.16/0.33 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.16/0.35 % SZS status Unsatisfiable % 0.16/0.35 % SZS output start Proof % 0.16/0.36 ( % 0.16/0.36 (declare-sort $$unsorted 0) % 0.16/0.36 (declare-const tptp.p (-> $$unsorted Bool)) % 0.16/0.36 (declare-const tptp.eps (-> (-> $$unsorted Bool) $$unsorted)) % 0.16/0.36 (define @t1 () (@var "P" (-> $$unsorted Bool))) % 0.16/0.36 (define @t2 () (_ tptp.eps @t1)) % 0.16/0.36 (define @t3 () (_ @t1 @t2)) % 0.16/0.36 (define @t4 () (@var "X" $$unsorted)) % 0.16/0.36 (define @t5 () (_ @t1 @t4)) % 0.16/0.36 (define @t6 () (@list @t4)) % 0.16/0.36 (define @t7 () (exists @t6 @t5)) % 0.16/0.36 (define @t8 () (=> @t7 @t3)) % 0.16/0.36 (define @t9 () (@list @t1)) % 0.16/0.36 (define @t10 () (forall @t9 @t8)) % 0.16/0.36 (define @t11 () (lambda @t6 (not (_ tptp.p @t4)))) % 0.16/0.36 (define @t12 () (_ tptp.eps tptp.p)) % 0.16/0.36 (define @t13 () (_ tptp.p @t12)) % 0.16/0.36 (define @t14 () (not @t13)) % 0.16/0.36 (define @t15 () (tptp.eps @t1)) % 0.16/0.36 (define @t16 () (_ @t1 @t15)) % 0.16/0.36 (define @t17 () (@var "BOUND_VARIABLE_7444" $$unsorted)) % 0.16/0.36 (define @t18 () (not (_ @t1 @t17))) % 0.16/0.36 (define @t19 () (or @t18 @t16)) % 0.16/0.36 (define @t20 () (forall (@list @t1 @t17) @t19)) % 0.16/0.36 (define @t21 () (@list @t17)) % 0.16/0.36 (define @t22 () (forall @t21 @t19)) % 0.16/0.36 (define @t23 () (forall @t21 @t18)) % 0.16/0.36 (define @t24 () (or @t23 @t16)) % 0.16/0.36 (define @t25 () (_ @t1 @t4)) % 0.16/0.36 (define @t26 () (forall @t6 (not @t25))) % 0.16/0.36 (define @t27 () (or @t26 @t3)) % 0.16/0.36 (define @t28 () (not @t26)) % 0.16/0.36 (define @t29 () (not @t5)) % 0.16/0.36 (define @t30 () (forall @t6 @t29)) % 0.16/0.36 (define @t31 () (not @t30)) % 0.16/0.36 (define @t32 () (@purify @t11)) % 0.16/0.36 (define @t33 () (_ tptp.eps @t32)) % 0.16/0.36 (define @t34 () (tptp.eps @t32)) % 0.16/0.36 (define @t35 () (tptp.p @t34)) % 0.16/0.36 (define @t36 () (tptp.eps tptp.p)) % 0.16/0.36 (define @t37 () (tptp.p @t36)) % 0.16/0.36 (define @t38 () (not @t35)) % 0.16/0.36 (define @t39 () (or @t38 @t37)) % 0.16/0.36 (define @t40 () (not @t39)) % 0.16/0.36 (define @t41 () (@list true false)) % 0.16/0.36 (assume @p1 @t10) % 0.16/0.36 (assume @p2 (_ tptp.p (_ tptp.eps @t11))) % 0.16/0.36 (assume @p3 @t14) % 0.16/0.36 (step @p4 :rule quant-merge-prenex :args ((= (forall @t9 @t22) @t20))) % 0.16/0.36 (step @p5 :rule refl :args (@t16)) % 0.16/0.36 (step @p6 :rule alpha_equiv :args (@t23 (@list @t17) (@list @t4))) % 0.16/0.36 (step @p7 :rule nary_cong :premises (@p6 @p5) :args (@t24)) % 0.16/0.36 (step @p8 :rule quant-miniscope-or :args ((= @t22 @t24))) % 0.16/0.36 (step @p9 :rule trans :premises (@p8 @p7)) % 0.16/0.36 (step @p10 :rule symm :premises (@p9)) % 0.16/0.36 (step @p11 :rule cong :premises (@p10) :args ((forall @t9 (or @t26 @t16)))) % 0.16/0.36 (step @p12 :rule trans :premises (@p11 @p4)) % 0.16/0.36 (step @p13 :rule refl :args ((_ @t1 @t2))) % 0.16/0.36 (step @p14 :rule refl :args (@t15)) % 0.16/0.36 (step @p15 :rule cong :premises (@p14) :args (@t16)) % 0.16/0.36 (step @p16 :rule trans :premises (@p15 @p13)) % 0.16/0.36 (step @p17 :rule refl :args (@t1)) % 0.16/0.36 (step @p18 :rule ho_cong :premises (@p17 @p14)) % 0.16/0.36 (step @p19 :rule cong :premises (@p18 @p16) :args ((= (_ @t1 @t15) @t16))) % 0.16/0.36 (step @p20 :rule symm :premises (@p19)) % 0.16/0.36 (step @p21 :rule refl :args (@t3)) % 0.16/0.36 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 0.16/0.36 (step @p23 :rule refl :args (@t2)) % 0.16/0.36 (step @p24 :rule cong :premises (@p23 @p14) :args ((= @t2 @t15))) % 0.16/0.36 (step @p25 :rule symm :premises (@p24)) % 0.16/0.36 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.16/0.36 (step @p27 :rule ho_cong :premises (@p17 @p26)) % 0.16/0.36 (step @p28 :rule trans :premises (@p27 @p22)) % 0.16/0.36 (step @p29 :rule refl :args (@t26)) % 0.16/0.36 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t27)) % 0.16/0.36 (step @p31 :rule cong :premises (@p30) :args ((forall @t9 @t27))) % 0.16/0.36 (step @p32 :rule trans :premises (@p31 @p12)) % 0.16/0.36 (step @p33 :rule bool-double-not-elim :args (@t26)) % 0.16/0.36 (step @p34 :rule nary_cong :premises (@p33 @p21) :args ((or (not @t28) @t3))) % 0.16/0.36 (step @p35 :rule bool-impl-elim :args (@t28 @t3)) % 0.16/0.36 (step @p36 :rule trans :premises (@p35 @p34)) % 0.16/0.36 (step @p37 :rule cong :premises (@p36) :args ((forall @t9 (=> @t28 @t3)))) % 0.16/0.36 (step @p38 :rule trans :premises (@p37 @p32)) % 0.16/0.36 (step @p39 :rule refl :args (@t3)) % 0.16/0.36 (step @p40 :rule refl :args (@t25)) % 0.16/0.36 (step @p41 :rule refl :args (@t5)) % 0.16/0.36 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t5 @t25))) % 0.16/0.36 (step @p43 :rule symm :premises (@p42)) % 0.16/0.36 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.16/0.36 (step @p45 :rule cong :premises (@p44) :args (@t29)) % 0.16/0.36 (step @p46 :rule cong :premises (@p45) :args (@t30)) % 0.16/0.36 (step @p47 :rule cong :premises (@p46) :args (@t31)) % 0.16/0.36 (step @p48 :rule exists-elim :args ((= @t7 @t31))) % 0.16/0.36 (step @p49 :rule trans :premises (@p48 @p47)) % 0.16/0.36 (step @p50 :rule cong :premises (@p49 @p39) :args (@t8)) % 0.16/0.36 (step @p51 :rule cong :premises (@p50) :args (@t10)) % 0.16/0.36 (step @p52 :rule trans :premises (@p51 @p38)) % 0.16/0.36 (step @p53 :rule eq_resolve :premises (@p1 @p52)) % 0.16/0.36 (step @p54 :rule refl :args ((tptp.p @t33))) % 0.16/0.36 (step @p55 :rule refl :args (@t34)) % 0.16/0.36 (step @p56 :rule cong :premises (@p55) :args (@t35)) % 0.16/0.36 (step @p57 :rule trans :premises (@p56 @p54)) % 0.16/0.36 (step @p58 :rule refl :args (tptp.p)) % 0.16/0.36 (step @p59 :rule ho_cong :premises (@p58 @p55)) % 0.16/0.36 (step @p60 :rule cong :premises (@p59 @p57) :args ((= (_ tptp.p @t34) @t35))) % 0.16/0.36 (step @p61 :rule symm :premises (@p60)) % 0.16/0.36 (step @p62 :rule refl :args ((_ tptp.p @t33))) % 0.16/0.36 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 0.16/0.36 (step @p64 :rule refl :args (@t33)) % 0.16/0.36 (step @p65 :rule cong :premises (@p64 @p55) :args ((= @t33 @t34))) % 0.16/0.36 (step @p66 :rule symm :premises (@p65)) % 0.16/0.36 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.16/0.36 (step @p68 :rule eq-refl :args (@t11)) % 0.16/0.36 (step @p69 :rule skolem_intro :args (@t32)) % 0.16/0.36 (step @p70 :rule refl :args (@t11)) % 0.16/0.36 (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t11 @t32))) % 0.16/0.36 (step @p72 :rule trans :premises (@p71 @p68)) % 0.16/0.36 (step @p73 :rule true_elim :premises (@p72)) % 0.16/0.36 (step @p74 :rule refl :args (tptp.eps)) % 0.16/0.36 (step @p75 :rule ho_cong :premises (@p74 @p73)) % 0.16/0.36 (step @p76 :rule trans :premises (@p75 @p67)) % 0.16/0.36 (step @p77 :rule refl :args (tptp.p)) % 0.16/0.36 (step @p78 :rule ho_cong :premises (@p77 @p76)) % 0.16/0.36 (step @p79 :rule trans :premises (@p78 @p63)) % 0.16/0.36 (step @p80 :rule eq_resolve :premises (@p2 @p79)) % 0.16/0.36 (step @p81 :rule refl :args ((tptp.p @t12))) % 0.16/0.36 (step @p82 :rule refl :args (@t36)) % 0.16/0.36 (step @p83 :rule cong :premises (@p82) :args (@t37)) % 0.16/0.36 (step @p84 :rule trans :premises (@p83 @p81)) % 0.16/0.36 (step @p85 :rule ho_cong :premises (@p58 @p82)) % 0.16/0.36 (step @p86 :rule cong :premises (@p85 @p84) :args ((= (_ tptp.p @t36) @t37))) % 0.16/0.36 (step @p87 :rule symm :premises (@p86)) % 0.16/0.36 (step @p88 :rule refl :args (@t13)) % 0.16/0.36 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.16/0.36 (step @p90 :rule refl :args (@t12)) % 0.16/0.36 (step @p91 :rule cong :premises (@p90 @p82) :args ((= @t12 @t36))) % 0.16/0.36 (step @p92 :rule symm :premises (@p91)) % 0.16/0.36 (step @p93 :rule eq_resolve :premises (@p90 @p92)) % 0.16/0.36 (step @p94 :rule ho_cong :premises (@p77 @p93)) % 0.16/0.36 (step @p95 :rule trans :premises (@p94 @p89)) % 0.16/0.36 (step @p96 :rule cong :premises (@p95) :args (@t14)) % 0.16/0.36 (step @p97 :rule eq_resolve :premises (@p3 @p96)) % 0.16/0.36 (step @p98 :rule cnf_or_pos :args (@t39)) % 0.16/0.36 (step @p99 :rule reordering :premises (@p98) :args ((or @t37 @t38 @t40))) % 0.16/0.36 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p80) :args (@t40 @t41 (@list @t37 @t35))) % 0.16/0.36 (assume-push @p107 @t20) % 0.16/0.36 (step @p102 :rule instantiate :premises (@p53) :args ((@list tptp.p @t34))) % 0.16/0.36 (step-pop @p108 :rule scope :premises (@p102)) % 0.16/0.36 (step @p103 :rule process_scope :premises (@p108) :args (@t39)) % 0.16/0.36 (step @p105 :rule implies_elim :premises (@p103)) % 0.16/0.36 (step @p106 false :rule chain_m_resolution :premises (@p105 @p100 @p53) :args (false @t41 (@list @t39 @t20))) % 0.16/0.36 ) % 0.16/0.36 % SZS output end Proof % 0.16/0.36 % cvc5 exiting %------------------------------------------------------------------------------