%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO512^1 : 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 : n014.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 09:13:02 AM UTC 2026 % Result : Theorem 0.51s 0.73s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO512^1 : 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 % 0.16/0.34 % Computer : n014.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 : Wed Jun 3 00:19:13 EDT 2026 % 0.16/0.34 % CPUTime : % 0.20/0.48 %----Proving TH0 % 0.51/0.73 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.51/0.73 % SZS status Theorem % 0.51/0.73 % SZS output start Proof % 0.51/0.73 ( % 0.51/0.73 (declare-sort $$unsorted 0) % 0.51/0.73 (declare-const tptp.r (-> $$unsorted $$unsorted Bool)) % 0.51/0.73 (declare-const tptp.eps (-> (-> $$unsorted Bool) $$unsorted)) % 0.51/0.73 (define @t1 () (@var "P" (-> $$unsorted Bool))) % 0.51/0.73 (define @t2 () (_ tptp.eps @t1)) % 0.51/0.73 (define @t3 () (_ @t1 @t2)) % 0.51/0.73 (define @t4 () (@var "X" $$unsorted)) % 0.51/0.73 (define @t5 () (_ @t1 @t4)) % 0.51/0.73 (define @t6 () (@list @t4)) % 0.51/0.73 (define @t7 () (exists @t6 @t5)) % 0.51/0.73 (define @t8 () (=> @t7 @t3)) % 0.51/0.73 (define @t9 () (@list @t1)) % 0.51/0.73 (define @t10 () (forall @t9 @t8)) % 0.51/0.73 (define @t11 () (@var "Y" $$unsorted)) % 0.51/0.73 (define @t12 () (_ tptp.r @t4)) % 0.51/0.73 (define @t13 () (_ @t12 @t11)) % 0.51/0.73 (define @t14 () (@list @t11)) % 0.51/0.73 (define @t15 () (exists @t14 @t13)) % 0.51/0.73 (define @t16 () (forall @t6 @t15)) % 0.51/0.73 (define @t17 () (_ tptp.eps @t12)) % 0.51/0.73 (define @t18 () (_ @t12 @t17)) % 0.51/0.73 (define @t19 () (forall @t6 @t18)) % 0.51/0.73 (define @t20 () (not @t19)) % 0.51/0.73 (define @t21 () (tptp.eps @t1)) % 0.51/0.73 (define @t22 () (_ @t1 @t21)) % 0.51/0.73 (define @t23 () (@var "BOUND_VARIABLE_7447" $$unsorted)) % 0.51/0.73 (define @t24 () (not (_ @t1 @t23))) % 0.51/0.73 (define @t25 () (or @t24 @t22)) % 0.51/0.73 (define @t26 () (forall (@list @t1 @t23) @t25)) % 0.51/0.73 (define @t27 () (@list @t23)) % 0.51/0.73 (define @t28 () (forall @t27 @t25)) % 0.51/0.73 (define @t29 () (forall @t27 @t24)) % 0.51/0.73 (define @t30 () (or @t29 @t22)) % 0.51/0.73 (define @t31 () (_ @t1 @t4)) % 0.51/0.73 (define @t32 () (forall @t6 (not @t31))) % 0.51/0.73 (define @t33 () (or @t32 @t3)) % 0.51/0.73 (define @t34 () (not @t32)) % 0.51/0.73 (define @t35 () (not @t5)) % 0.51/0.73 (define @t36 () (forall @t6 @t35)) % 0.51/0.73 (define @t37 () (not @t36)) % 0.51/0.73 (define @t38 () (tptp.r @t4 @t11)) % 0.51/0.73 (define @t39 () (not @t13)) % 0.51/0.73 (define @t40 () (forall @t14 @t39)) % 0.51/0.73 (define @t41 () (not @t40)) % 0.51/0.73 (define @t42 () (tptp.eps @t12)) % 0.51/0.73 (define @t43 () (tptp.r @t4 @t42)) % 0.51/0.73 (define @t44 () (@quantifiers_skolemize (forall @t6 @t43) 0)) % 0.51/0.73 (define @t45 () (forall @t14 (not (tptp.r @t44 @t11)))) % 0.51/0.73 (define @t46 () (@quantifiers_skolemize @t45 0)) % 0.51/0.73 (define @t47 () (tptp.r @t44 @t46)) % 0.51/0.73 (define @t48 () (not @t45)) % 0.51/0.73 (define @t49 () (not @t47)) % 0.51/0.73 (define @t50 () (not @t49)) % 0.51/0.73 (define @t51 () (_ tptp.r @t44)) % 0.51/0.73 (define @t52 () (tptp.eps @t51)) % 0.51/0.73 (define @t53 () (tptp.r @t44 @t52)) % 0.51/0.73 (define @t54 () (or @t49 @t53)) % 0.51/0.73 (define @t55 () (not @t54)) % 0.51/0.73 (define @t56 () (@list true false)) % 0.51/0.73 (define @t57 () (_ tptp.eps @t51)) % 0.51/0.73 (define @t58 () (_ @t51 @t52)) % 0.51/0.73 (define @t59 () (_ @t51 @t46)) % 0.51/0.73 (define @t60 () (not @t59)) % 0.51/0.73 (define @t61 () (or @t60 @t58)) % 0.51/0.73 (define @t62 () (_ @t51 @t52)) % 0.51/0.73 (define @t63 () (_ @t51 @t46)) % 0.51/0.73 (define @t64 () (not @t63)) % 0.51/0.73 (define @t65 () (or @t64 @t62)) % 0.51/0.73 (assume @p1 @t10) % 0.51/0.73 (assume @p2 @t16) % 0.51/0.73 (assume @p3 @t20) % 0.51/0.73 (assume @p4 true) % 0.51/0.73 (step @p5 :rule quant-merge-prenex :args ((= (forall @t9 @t28) @t26))) % 0.51/0.73 (step @p6 :rule refl :args (@t22)) % 0.51/0.73 (step @p7 :rule alpha_equiv :args (@t29 (@list @t23) (@list @t4))) % 0.51/0.73 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t30)) % 0.51/0.73 (step @p9 :rule quant-miniscope-or :args ((= @t28 @t30))) % 0.51/0.73 (step @p10 :rule trans :premises (@p9 @p8)) % 0.51/0.73 (step @p11 :rule symm :premises (@p10)) % 0.51/0.73 (step @p12 :rule cong :premises (@p11) :args ((forall @t9 (or @t32 @t22)))) % 0.51/0.73 (step @p13 :rule trans :premises (@p12 @p5)) % 0.51/0.73 (step @p14 :rule refl :args ((_ @t1 @t2))) % 0.51/0.73 (step @p15 :rule refl :args (@t21)) % 0.51/0.73 (step @p16 :rule cong :premises (@p15) :args (@t22)) % 0.51/0.73 (step @p17 :rule trans :premises (@p16 @p14)) % 0.51/0.73 (step @p18 :rule refl :args (@t1)) % 0.51/0.73 (step @p19 :rule ho_cong :premises (@p18 @p15)) % 0.51/0.73 (step @p20 :rule cong :premises (@p19 @p17) :args ((= (_ @t1 @t21) @t22))) % 0.51/0.73 (step @p21 :rule symm :premises (@p20)) % 0.51/0.73 (step @p22 :rule refl :args (@t3)) % 0.51/0.73 (step @p23 :rule eq_resolve :premises (@p22 @p21)) % 0.51/0.73 (step @p24 :rule refl :args (@t2)) % 0.51/0.73 (step @p25 :rule cong :premises (@p24 @p15) :args ((= @t2 @t21))) % 0.51/0.73 (step @p26 :rule symm :premises (@p25)) % 0.51/0.73 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.51/0.73 (step @p28 :rule ho_cong :premises (@p18 @p27)) % 0.51/0.73 (step @p29 :rule trans :premises (@p28 @p23)) % 0.51/0.73 (step @p30 :rule refl :args (@t32)) % 0.51/0.73 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t33)) % 0.51/0.73 (step @p32 :rule cong :premises (@p31) :args ((forall @t9 @t33))) % 0.51/0.73 (step @p33 :rule trans :premises (@p32 @p13)) % 0.51/0.73 (step @p34 :rule bool-double-not-elim :args (@t32)) % 0.51/0.73 (step @p35 :rule nary_cong :premises (@p34 @p22) :args ((or (not @t34) @t3))) % 0.51/0.73 (step @p36 :rule bool-impl-elim :args (@t34 @t3)) % 0.51/0.73 (step @p37 :rule trans :premises (@p36 @p35)) % 0.51/0.73 (step @p38 :rule cong :premises (@p37) :args ((forall @t9 (=> @t34 @t3)))) % 0.51/0.73 (step @p39 :rule trans :premises (@p38 @p33)) % 0.51/0.73 (step @p40 :rule refl :args (@t3)) % 0.51/0.73 (step @p41 :rule refl :args (@t31)) % 0.51/0.73 (step @p42 :rule refl :args (@t5)) % 0.51/0.73 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t5 @t31))) % 0.51/0.73 (step @p44 :rule symm :premises (@p43)) % 0.51/0.73 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.51/0.73 (step @p46 :rule cong :premises (@p45) :args (@t35)) % 0.51/0.73 (step @p47 :rule cong :premises (@p46) :args (@t36)) % 0.51/0.73 (step @p48 :rule cong :premises (@p47) :args (@t37)) % 0.51/0.73 (step @p49 :rule exists-elim :args ((= @t7 @t37))) % 0.51/0.73 (step @p50 :rule trans :premises (@p49 @p48)) % 0.51/0.73 (step @p51 :rule cong :premises (@p50 @p40) :args (@t8)) % 0.51/0.73 (step @p52 :rule cong :premises (@p51) :args (@t10)) % 0.51/0.73 (step @p53 :rule trans :premises (@p52 @p39)) % 0.51/0.73 (step @p54 :rule eq_resolve :premises (@p1 @p53)) % 0.51/0.73 (step @p55 :rule refl :args (@t38)) % 0.51/0.73 (step @p56 :rule refl :args (@t13)) % 0.51/0.73 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t13 @t38))) % 0.51/0.73 (step @p58 :rule symm :premises (@p57)) % 0.51/0.73 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.51/0.73 (step @p60 :rule cong :premises (@p59) :args (@t39)) % 0.51/0.73 (step @p61 :rule cong :premises (@p60) :args (@t40)) % 0.51/0.73 (step @p62 :rule cong :premises (@p61) :args (@t41)) % 0.51/0.73 (step @p63 :rule exists-elim :args ((= @t15 @t41))) % 0.51/0.73 (step @p64 :rule trans :premises (@p63 @p62)) % 0.51/0.73 (step @p65 :rule cong :premises (@p64) :args (@t16)) % 0.51/0.73 (step @p66 :rule eq_resolve :premises (@p2 @p65)) % 0.51/0.73 (step @p67 :rule instantiate :premises (@p66) :args ((@list @t44))) % 0.51/0.73 (step @p68 :rule refl :args (@t47)) % 0.51/0.73 (step @p69 :rule bool-double-not-elim :args (@t45)) % 0.51/0.73 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or (not @t48) @t47))) % 0.51/0.73 (step @p71 :rule bool-double-not-elim :args (@t47)) % 0.51/0.73 (step @p72 :rule refl :args (@t48)) % 0.51/0.73 (step @p73 :rule cong :premises (@p72 @p71) :args ((=> @t48 @t50))) % 0.51/0.73 (assume-push @p144 @t48) % 0.51/0.73 (step @p75 :rule skolemize :premises (@p67)) % 0.51/0.73 (step-pop @p145 :rule scope :premises (@p75)) % 0.51/0.73 (step @p76 :rule process_scope :premises (@p145) :args (@t50)) % 0.51/0.73 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 0.51/0.73 (step @p79 :rule implies_elim :premises (@p78)) % 0.51/0.73 (step @p80 :rule eq_resolve :premises (@p79 @p70)) % 0.51/0.73 (step @p81 :rule chain_m_resolution :premises (@p80 @p67) :args (@t47 (@list true) (@list @t45))) % 0.51/0.73 (step @p82 :rule refl :args ((tptp.r @t4 @t17))) % 0.51/0.73 (step @p83 :rule refl :args (@t42)) % 0.51/0.73 (step @p84 :rule refl :args (@t4)) % 0.51/0.73 (step @p85 :rule cong :premises (@p84 @p83) :args (@t43)) % 0.51/0.73 (step @p86 :rule trans :premises (@p85 @p82)) % 0.51/0.73 (step @p87 :rule refl :args (@t12)) % 0.51/0.73 (step @p88 :rule ho_cong :premises (@p87 @p83)) % 0.51/0.73 (step @p89 :rule cong :premises (@p88 @p86) :args ((= (_ @t12 @t42) @t43))) % 0.51/0.73 (step @p90 :rule symm :premises (@p89)) % 0.51/0.73 (step @p91 :rule refl :args (@t18)) % 0.51/0.73 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.51/0.73 (step @p93 :rule refl :args (@t17)) % 0.51/0.73 (step @p94 :rule cong :premises (@p93 @p83) :args ((= @t17 @t42))) % 0.51/0.73 (step @p95 :rule symm :premises (@p94)) % 0.51/0.73 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 0.51/0.73 (step @p97 :rule ho_cong :premises (@p87 @p96)) % 0.51/0.73 (step @p98 :rule trans :premises (@p97 @p92)) % 0.51/0.73 (step @p99 :rule cong :premises (@p98) :args (@t19)) % 0.51/0.73 (step @p100 :rule cong :premises (@p99) :args (@t20)) % 0.51/0.73 (step @p101 :rule eq_resolve :premises (@p3 @p100)) % 0.51/0.73 (step @p102 :rule skolemize :premises (@p101)) % 0.51/0.73 (step @p103 :rule cnf_or_pos :args (@t54)) % 0.51/0.73 (step @p104 :rule reordering :premises (@p103) :args ((or @t53 @t49 @t55))) % 0.51/0.73 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p81) :args (@t55 @t56 (@list @t53 @t47))) % 0.51/0.73 (step @p106 :rule refl :args ((tptp.r @t44 @t57))) % 0.51/0.73 (step @p107 :rule refl :args (@t52)) % 0.51/0.73 (step @p108 :rule refl :args (@t44)) % 0.51/0.73 (step @p109 :rule cong :premises (@p108 @p107) :args (@t53)) % 0.51/0.73 (step @p110 :rule trans :premises (@p109 @p106)) % 0.51/0.73 (step @p111 :rule refl :args (@t51)) % 0.51/0.73 (step @p112 :rule ho_cong :premises (@p111 @p107)) % 0.51/0.73 (step @p113 :rule cong :premises (@p112 @p110) :args ((= @t58 @t53))) % 0.51/0.73 (step @p114 :rule symm :premises (@p113)) % 0.51/0.74 (step @p115 :rule refl :args ((_ @t51 @t57))) % 0.51/0.74 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.51/0.74 (step @p117 :rule refl :args (@t47)) % 0.51/0.74 (step @p118 :rule refl :args (@t59)) % 0.51/0.74 (step @p119 :rule cong :premises (@p118 @p117) :args ((= @t59 @t47))) % 0.51/0.74 (step @p120 :rule symm :premises (@p119)) % 0.51/0.74 (step @p121 :rule eq_resolve :premises (@p118 @p120)) % 0.51/0.74 (step @p122 :rule cong :premises (@p121) :args (@t60)) % 0.51/0.74 (step @p123 :rule nary_cong :premises (@p122 @p116) :args (@t61)) % 0.51/0.74 (step @p124 :rule refl :args (@t26)) % 0.51/0.74 (step @p125 :rule cong :premises (@p124 @p123) :args ((=> @t26 @t61))) % 0.51/0.74 (step @p126 :rule refl :args ((_ @t51 @t57))) % 0.51/0.74 (step @p127 :rule cong :premises (@p107) :args (@t62)) % 0.51/0.74 (step @p128 :rule trans :premises (@p127 @p126)) % 0.51/0.74 (step @p129 :rule cong :premises (@p128 @p112) :args ((= @t62 @t58))) % 0.51/0.74 (step @p130 :rule symm :premises (@p129)) % 0.51/0.74 (step @p131 :rule eq_resolve :premises (@p115 @p130)) % 0.51/0.74 (step @p132 :rule refl :args (@t63)) % 0.51/0.74 (step @p133 :rule cong :premises (@p132) :args (@t64)) % 0.51/0.74 (step @p134 :rule nary_cong :premises (@p133 @p131) :args (@t65)) % 0.51/0.74 (step @p135 :rule cong :premises (@p124 @p134) :args ((=> @t26 @t65))) % 0.51/0.74 (assume-push @p146 @t26) % 0.51/0.74 (step @p137 :rule instantiate :premises (@p54) :args ((@list @t51 @t46))) % 0.51/0.74 (step-pop @p147 :rule scope :premises (@p137)) % 0.51/0.74 (step @p138 :rule process_scope :premises (@p147) :args (@t65)) % 0.51/0.74 (step @p140 :rule eq_resolve :premises (@p138 @p135)) % 0.51/0.74 (step @p141 :rule eq_resolve :premises (@p140 @p125)) % 0.51/0.74 (step @p142 :rule implies_elim :premises (@p141)) % 0.51/0.74 (step @p143 false :rule chain_m_resolution :premises (@p142 @p105 @p54) :args (false @t56 (@list @t54 @t26))) % 0.51/0.74 ) % 0.51/0.74 % SZS output end Proof % 0.51/0.74 % cvc5 exiting %------------------------------------------------------------------------------