%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN722+1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 09:09:43 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN722+1 : TPTP v9.2.1. Released v2.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n010.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 23:33:55 EDT 2026 % 0.18/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.r (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.c $$unsorted) % 0.39/0.56 (declare-const tptp.q (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.d $$unsorted) % 0.39/0.56 (declare-const tptp.a $$unsorted) % 0.39/0.56 (declare-const tptp.p (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.b $$unsorted) % 0.39/0.56 (define @t1 () (tptp.p tptp.b)) % 0.39/0.56 (define @t2 () (not @t1)) % 0.39/0.56 (define @t3 () (tptp.p tptp.a)) % 0.39/0.56 (define @t4 () (or (not @t3) @t2)) % 0.39/0.56 (define @t5 () (tptp.q tptp.d)) % 0.39/0.56 (define @t6 () (not @t5)) % 0.39/0.56 (define @t7 () (tptp.q tptp.c)) % 0.39/0.56 (define @t8 () (not @t7)) % 0.39/0.56 (define @t9 () (@var "Y" $$unsorted)) % 0.39/0.56 (define @t10 () (tptp.q @t9)) % 0.39/0.56 (define @t11 () (not @t10)) % 0.39/0.56 (define @t12 () (@var "X" $$unsorted)) % 0.39/0.56 (define @t13 () (tptp.q @t12)) % 0.39/0.56 (define @t14 () (not @t13)) % 0.39/0.56 (define @t15 () (tptp.p @t12)) % 0.39/0.56 (define @t16 () (or @t15 @t14 @t11 @t8 @t6)) % 0.39/0.56 (define @t17 () (@list @t9)) % 0.39/0.56 (define @t18 () (exists @t17 @t16)) % 0.39/0.56 (define @t19 () (@list @t12)) % 0.39/0.56 (define @t20 () (forall @t19 @t18)) % 0.39/0.56 (define @t21 () (@var "Z" $$unsorted)) % 0.39/0.56 (define @t22 () (tptp.q @t21)) % 0.39/0.56 (define @t23 () (or (tptp.p @t21) (tptp.r @t21))) % 0.39/0.56 (define @t24 () (@list @t21)) % 0.39/0.56 (define @t25 () (forall @t24 (and @t23 @t22))) % 0.39/0.56 (define @t26 () (and @t25 @t20 @t4)) % 0.39/0.56 (define @t27 () (@var "BOUND_VARIABLE_7454" $$unsorted)) % 0.39/0.56 (define @t28 () (forall (@list @t27) (tptp.q @t27))) % 0.39/0.56 (define @t29 () (@var "BOUND_VARIABLE_7447" $$unsorted)) % 0.39/0.56 (define @t30 () (forall (@list @t29) (or (tptp.p @t29) (tptp.r @t29)))) % 0.39/0.56 (define @t31 () (or @t15 @t14)) % 0.39/0.56 (define @t32 () (forall @t19 @t31)) % 0.39/0.56 (define @t33 () (@var "BOUND_VARIABLE_7466" $$unsorted)) % 0.39/0.56 (define @t34 () (forall (@list @t33) (tptp.q @t33))) % 0.39/0.56 (define @t35 () (not @t34)) % 0.39/0.56 (define @t36 () (or @t35 @t8 @t6 @t32)) % 0.39/0.56 (define @t37 () (or @t35 @t8 @t6 @t31)) % 0.39/0.56 (define @t38 () (or @t15 @t14 @t35 @t8 @t6)) % 0.39/0.56 (define @t39 () (not @t15)) % 0.39/0.56 (define @t40 () (not @t39)) % 0.39/0.56 (define @t41 () (or @t40 @t14 @t35 @t8 @t6)) % 0.39/0.56 (define @t42 () (or @t8 @t6)) % 0.39/0.56 (define @t43 () (forall @t17 @t5)) % 0.39/0.56 (define @t44 () (forall @t17 @t7)) % 0.39/0.56 (define @t45 () (forall @t17 @t10)) % 0.39/0.56 (define @t46 () (@list @t33)) % 0.39/0.56 (define @t47 () (forall @t17 @t13)) % 0.39/0.56 (define @t48 () (forall @t17 @t39)) % 0.39/0.56 (define @t49 () (and @t48 @t47 @t45 @t44 @t43)) % 0.39/0.56 (define @t50 () (not @t6)) % 0.39/0.56 (define @t51 () (not @t8)) % 0.39/0.56 (define @t52 () (not @t11)) % 0.39/0.56 (define @t53 () (not @t14)) % 0.39/0.56 (define @t54 () (and @t39 @t53 @t52 @t51 @t50)) % 0.39/0.56 (define @t55 () (forall @t17 (not @t16))) % 0.39/0.56 (define @t56 () (not @t55)) % 0.39/0.56 (define @t57 () (forall @t24 @t22)) % 0.39/0.56 (define @t58 () (@list @t21)) % 0.39/0.56 (define @t59 () (@list @t27)) % 0.39/0.56 (define @t60 () (forall @t24 @t23)) % 0.39/0.56 (define @t61 () (and @t60 @t57)) % 0.39/0.56 (define @t62 () (@list false)) % 0.39/0.56 (define @t63 () (@list tptp.b)) % 0.39/0.56 (define @t64 () (@list tptp.a)) % 0.39/0.56 (define @t65 () (tptp.q tptp.a)) % 0.39/0.56 (define @t66 () (not @t65)) % 0.39/0.56 (define @t67 () (or @t3 @t66)) % 0.39/0.56 (define @t68 () (tptp.q tptp.b)) % 0.39/0.56 (define @t69 () (not @t68)) % 0.39/0.56 (define @t70 () (or @t1 @t69)) % 0.39/0.56 (define @t71 () (@list true false)) % 0.39/0.56 (assume @p1 (not (not @t26))) % 0.39/0.56 (assume @p2 true) % 0.39/0.56 (step @p3 :rule aci_norm :args ((= (and (and @t30 @t28) @t36 @t4) (and @t36 @t4 @t30 @t28)))) % 0.39/0.56 (step @p4 :rule refl :args (@t4)) % 0.39/0.56 (step @p5 :rule quant-miniscope-or :args ((= (forall @t19 @t37) @t36))) % 0.39/0.56 (step @p6 :rule aci_norm :args ((= @t38 @t37))) % 0.39/0.56 (step @p7 :rule cong :premises (@p6) :args ((forall @t19 @t38))) % 0.39/0.56 (step @p8 :rule trans :premises (@p7 @p5)) % 0.39/0.56 (step @p9 :rule refl :args (@t6)) % 0.39/0.56 (step @p10 :rule refl :args (@t8)) % 0.39/0.56 (step @p11 :rule refl :args (@t35)) % 0.39/0.56 (step @p12 :rule refl :args (@t14)) % 0.39/0.56 (step @p13 :rule bool-double-not-elim :args (@t15)) % 0.39/0.56 (step @p14 :rule nary_cong :premises (@p13 @p12 @p11 @p10 @p9) :args (@t41)) % 0.39/0.56 (step @p15 :rule aci_norm :args ((= (or @t40 (or @t14 (or @t35 @t42))) @t41))) % 0.39/0.56 (step @p16 :rule trans :premises (@p15 @p14)) % 0.39/0.56 (step @p17 :rule bool-and-de-morgan :args (@t7 @t5 true)) % 0.39/0.56 (step @p18 :rule nary_cong :premises (@p11 @p17) :args ((or @t35 (not (and @t7 @t5))))) % 0.39/0.56 (step @p19 :rule bool-and-de-morgan :args (@t34 @t7 (and @t5))) % 0.39/0.56 (step @p20 :rule trans :premises (@p19 @p18)) % 0.39/0.56 (step @p21 :rule nary_cong :premises (@p12 @p20) :args ((or @t14 (not (and @t34 @t7 @t5))))) % 0.39/0.56 (step @p22 :rule bool-and-de-morgan :args (@t13 @t34 (and @t7 @t5))) % 0.39/0.56 (step @p23 :rule trans :premises (@p22 @p21)) % 0.39/0.56 (step @p24 :rule refl :args (@t40)) % 0.39/0.56 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or @t40 (not (and @t13 @t34 @t7 @t5))))) % 0.39/0.56 (step @p26 :rule bool-and-de-morgan :args (@t39 @t13 (and @t34 @t7 @t5))) % 0.39/0.56 (step @p27 :rule trans :premises (@p26 @p25)) % 0.39/0.56 (step @p28 :rule trans :premises (@p27 @p16)) % 0.39/0.56 (step @p29 :rule cong :premises (@p28) :args ((forall @t19 (not (and @t39 @t13 @t34 @t7 @t5))))) % 0.39/0.56 (step @p30 :rule trans :premises (@p29 @p8)) % 0.39/0.56 (step @p31 :rule quant-unused-vars :args ((= @t43 @t5))) % 0.39/0.56 (step @p32 :rule quant-unused-vars :args ((= @t44 @t7))) % 0.39/0.56 (step @p33 :rule alpha_equiv :args (@t45 (@list @t9) @t46)) % 0.39/0.56 (step @p34 :rule quant-unused-vars :args ((= @t47 @t13))) % 0.39/0.56 (step @p35 :rule quant-unused-vars :args ((= @t48 @t39))) % 0.39/0.56 (step @p36 :rule nary_cong :premises (@p35 @p34 @p33 @p32 @p31) :args (@t49)) % 0.39/0.56 (step @p37 :rule quant-miniscope-and :args ((= (forall @t17 (and @t39 @t13 @t10 @t7 @t5)) @t49))) % 0.39/0.56 (step @p38 :rule trans :premises (@p37 @p36)) % 0.39/0.56 (step @p39 :rule bool-double-not-elim :args (@t5)) % 0.39/0.56 (step @p40 :rule bool-double-not-elim :args (@t7)) % 0.39/0.56 (step @p41 :rule bool-double-not-elim :args (@t10)) % 0.39/0.56 (step @p42 :rule bool-double-not-elim :args (@t13)) % 0.39/0.56 (step @p43 :rule refl :args (@t39)) % 0.39/0.56 (step @p44 :rule nary_cong :premises (@p43 @p42 @p41 @p40 @p39) :args (@t54)) % 0.39/0.56 (step @p45 :rule aci_norm :args ((= (and @t39 (and @t53 (and @t52 (and @t51 @t50)))) @t54))) % 0.39/0.56 (step @p46 :rule trans :premises (@p45 @p44)) % 0.39/0.56 (step @p47 :rule bool-or-de-morgan :args (@t8 @t6 false)) % 0.39/0.56 (step @p48 :rule refl :args (@t52)) % 0.39/0.56 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((and @t52 (not @t42)))) % 0.39/0.56 (step @p50 :rule bool-or-de-morgan :args (@t11 @t8 (or @t6))) % 0.39/0.56 (step @p51 :rule trans :premises (@p50 @p49)) % 0.39/0.56 (step @p52 :rule refl :args (@t53)) % 0.39/0.56 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((and @t53 (not (or @t11 @t8 @t6))))) % 0.39/0.56 (step @p54 :rule bool-or-de-morgan :args (@t14 @t11 (or @t8 @t6))) % 0.39/0.56 (step @p55 :rule trans :premises (@p54 @p53)) % 0.39/0.56 (step @p56 :rule nary_cong :premises (@p43 @p55) :args ((and @t39 (not (or @t14 @t11 @t8 @t6))))) % 0.39/0.56 (step @p57 :rule bool-or-de-morgan :args (@t15 @t14 (or @t11 @t8 @t6))) % 0.39/0.56 (step @p58 :rule trans :premises (@p57 @p56)) % 0.39/0.56 (step @p59 :rule trans :premises (@p58 @p46)) % 0.39/0.56 (step @p60 :rule cong :premises (@p59) :args (@t55)) % 0.39/0.56 (step @p61 :rule trans :premises (@p60 @p38)) % 0.39/0.56 (step @p62 :rule cong :premises (@p61) :args (@t56)) % 0.39/0.56 (step @p63 :rule exists-elim :args ((= @t18 @t56))) % 0.39/0.56 (step @p64 :rule trans :premises (@p63 @p62)) % 0.39/0.56 (step @p65 :rule cong :premises (@p64) :args (@t20)) % 0.39/0.56 (step @p66 :rule trans :premises (@p65 @p30)) % 0.39/0.56 (step @p67 :rule alpha_equiv :args (@t57 @t58 @t59)) % 0.39/0.56 (step @p68 :rule alpha_equiv :args (@t60 @t58 (@list @t29))) % 0.39/0.56 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t61)) % 0.39/0.56 (step @p70 :rule quant-miniscope-and :args ((= @t25 @t61))) % 0.39/0.56 (step @p71 :rule trans :premises (@p70 @p69)) % 0.39/0.56 (step @p72 :rule nary_cong :premises (@p71 @p66 @p4) :args (@t26)) % 0.39/0.56 (step @p73 :rule trans :premises (@p72 @p3)) % 0.39/0.56 (step @p74 :rule bool-double-not-elim :args (@t26)) % 0.39/0.56 (step @p75 :rule trans :premises (@p74 @p73)) % 0.39/0.56 (step @p76 :rule eq_resolve :premises (@p1 @p75)) % 0.39/0.56 (step @p77 :rule and_elim :premises (@p76) :args (3)) % 0.39/0.56 (step @p78 :rule alpha_equiv :args (@t34 @t46 @t59)) % 0.39/0.56 (step @p79 :rule symm :premises (@p78)) % 0.39/0.56 (step @p80 :rule equiv_elim1 :premises (@p79)) % 0.39/0.56 (step @p81 :rule reordering :premises (@p80) :args ((or @t34 (not @t28)))) % 0.39/0.56 (step @p82 :rule chain_m_resolution :premises (@p81 @p77) :args (@t34 @t62 (@list @t28))) % 0.39/0.56 (step @p83 :rule instantiate :premises (@p82) :args ((@list tptp.d))) % 0.39/0.56 (step @p84 :rule instantiate :premises (@p82) :args ((@list tptp.c))) % 0.39/0.56 (step @p85 :rule and_elim :premises (@p76) :args (0)) % 0.39/0.56 (step @p86 :rule reordering :premises (@p85) :args ((or @t8 @t6 @t35 @t32))) % 0.39/0.56 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p83 @p82) :args (@t32 (@list false false false) (@list @t7 @t5 @t34))) % 0.39/0.56 (step @p88 :rule instantiate :premises (@p87) :args (@t63)) % 0.39/0.56 (step @p89 :rule instantiate :premises (@p87) :args (@t64)) % 0.39/0.56 (step @p90 :rule instantiate :premises (@p82) :args (@t64)) % 0.39/0.56 (step @p91 :rule cnf_or_pos :args (@t67)) % 0.39/0.56 (step @p92 :rule reordering :premises (@p91) :args ((or @t3 @t66 (not @t67)))) % 0.39/0.56 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p89) :args (@t3 (@list false false) (@list @t65 @t67))) % 0.39/0.56 (step @p94 :rule and_elim :premises (@p76) :args (1)) % 0.39/0.56 (step @p95 :rule chain_m_resolution :premises (@p94 @p93) :args (@t2 @t62 (@list @t3))) % 0.39/0.56 (step @p96 :rule cnf_or_pos :args (@t70)) % 0.39/0.56 (step @p97 :rule reordering :premises (@p96) :args ((or @t1 @t69 (not @t70)))) % 0.39/0.56 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p88) :args (@t69 @t71 (@list @t1 @t70))) % 0.39/0.56 (assume-push @p105 @t34) % 0.39/0.56 (step @p100 :rule instantiate :premises (@p82) :args (@t63)) % 0.39/0.56 (step-pop @p106 :rule scope :premises (@p100)) % 0.39/0.56 (step @p101 :rule process_scope :premises (@p106) :args (@t68)) % 0.39/0.56 (step @p103 :rule implies_elim :premises (@p101)) % 0.39/0.56 (step @p104 false :rule chain_m_resolution :premises (@p103 @p98 @p82) :args (false @t71 (@list @t68 @t34))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------