%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN350+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 : n002.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 09:08:39 AM UTC 2026 % Result : Theorem 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SYN350+1 : TPTP v9.2.1. Released v2.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n002.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 23:24:48 EDT 2026 % 0.19/0.35 % CPUTime : % 0.34/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.60 % SZS status Theorem % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort $$unsorted 0) % 0.39/0.60 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (define @t1 () (@var "Y2" $$unsorted)) % 0.39/0.60 (define @t2 () (@var "Y1" $$unsorted)) % 0.39/0.60 (define @t3 () (tptp.big_f @t2 @t1)) % 0.39/0.60 (define @t4 () (@var "Z" $$unsorted)) % 0.39/0.60 (define @t5 () (tptp.big_f @t2 @t4)) % 0.39/0.60 (define @t6 () (tptp.big_f @t1 @t4)) % 0.39/0.60 (define @t7 () (and @t6 (=> @t5 @t3))) % 0.39/0.60 (define @t8 () (@var "X" $$unsorted)) % 0.39/0.60 (define @t9 () (tptp.big_f @t8 @t4)) % 0.39/0.60 (define @t10 () (= @t9 @t7)) % 0.39/0.60 (define @t11 () (tptp.big_f @t4 @t8)) % 0.39/0.60 (define @t12 () (= @t9 @t11)) % 0.39/0.60 (define @t13 () (@list @t4)) % 0.39/0.60 (define @t14 () (forall @t13 (=> @t12 @t10))) % 0.39/0.60 (define @t15 () (@list @t2 @t1)) % 0.39/0.60 (define @t16 () (exists @t15 @t14)) % 0.39/0.60 (define @t17 () (@list @t8)) % 0.39/0.60 (define @t18 () (forall @t17 @t16)) % 0.39/0.60 (define @t19 () (not @t18)) % 0.39/0.60 (define @t20 () (and @t6 (or (not @t5) @t3))) % 0.39/0.60 (define @t21 () (= @t9 @t20)) % 0.39/0.60 (define @t22 () (not @t9)) % 0.39/0.60 (define @t23 () (forall @t13 (or (= @t11 @t22) @t21))) % 0.39/0.60 (define @t24 () (not (forall @t15 (not @t23)))) % 0.39/0.60 (define @t25 () (or (= @t22 @t11) @t21)) % 0.39/0.60 (define @t26 () (forall @t17 @t24)) % 0.39/0.60 (define @t27 () (@quantifiers_skolemize @t26 0)) % 0.39/0.60 (define @t28 () (tptp.big_f @t27 @t4)) % 0.39/0.60 (define @t29 () (not @t28)) % 0.39/0.60 (define @t30 () (= (tptp.big_f @t4 @t27) @t29)) % 0.39/0.60 (define @t31 () (forall @t15 (not (forall @t13 (or @t30 (= @t20 @t28)))))) % 0.39/0.60 (define @t32 () (not @t26)) % 0.39/0.60 (define @t33 () (or @t30 (= @t28 @t20))) % 0.39/0.60 (define @t34 () (forall @t13 @t33)) % 0.39/0.60 (define @t35 () (not @t34)) % 0.39/0.60 (define @t36 () (forall @t15 @t35)) % 0.39/0.60 (define @t37 () (not (not @t36))) % 0.39/0.60 (define @t38 () (@list true)) % 0.39/0.60 (define @t39 () (tptp.big_f @t27 @t27)) % 0.39/0.60 (define @t40 () (and @t28 (or @t29 @t39))) % 0.39/0.60 (define @t41 () (forall @t13 (or @t30 (= @t28 @t40)))) % 0.39/0.60 (define @t42 () (@quantifiers_skolemize @t41 0)) % 0.39/0.60 (define @t43 () (tptp.big_f @t42 @t27)) % 0.39/0.60 (define @t44 () (and @t28 (or (not (tptp.big_f @t42 @t4)) @t43))) % 0.39/0.60 (define @t45 () (or @t30 (= @t44 @t28))) % 0.39/0.60 (define @t46 () (forall @t13 @t45)) % 0.39/0.60 (define @t47 () (not @t46)) % 0.39/0.60 (define @t48 () (forall @t13 (or @t30 (= @t28 @t44)))) % 0.39/0.60 (define @t49 () (@list false)) % 0.39/0.60 (define @t50 () (@list @t31)) % 0.39/0.60 (define @t51 () (@quantifiers_skolemize @t48 0)) % 0.39/0.60 (define @t52 () (or (not (tptp.big_f @t42 @t51)) @t43)) % 0.39/0.60 (define @t53 () (tptp.big_f @t27 @t51)) % 0.39/0.60 (define @t54 () (and @t53 @t52)) % 0.39/0.60 (define @t55 () (= @t53 @t54)) % 0.39/0.60 (define @t56 () (not @t53)) % 0.39/0.60 (define @t57 () (or (= (tptp.big_f @t51 @t27) @t56) @t55)) % 0.39/0.60 (define @t58 () (or @t30 (= @t40 @t28))) % 0.39/0.60 (define @t59 () (forall @t13 @t58)) % 0.39/0.60 (define @t60 () (not @t59)) % 0.39/0.60 (define @t61 () (tptp.big_f @t27 @t42)) % 0.39/0.60 (define @t62 () (not @t61)) % 0.39/0.60 (define @t63 () (and @t61 (or @t62 @t39))) % 0.39/0.60 (define @t64 () (= @t61 @t63)) % 0.39/0.60 (define @t65 () (= @t43 @t62)) % 0.39/0.60 (define @t66 () (or @t65 @t64)) % 0.39/0.60 (define @t67 () (@list @t66)) % 0.39/0.60 (define @t68 () (not @t54)) % 0.39/0.60 (assume @p1 @t19) % 0.39/0.60 (assume @p2 true) % 0.39/0.60 (step @p3 :rule exists-elim :args ((= (exists @t15 @t23) @t24))) % 0.39/0.60 (step @p4 :rule refl :args (@t21)) % 0.39/0.60 (step @p5 :rule eq-symm :args (@t22 @t11)) % 0.39/0.60 (step @p6 :rule nary_cong :premises (@p5 @p4) :args (@t25)) % 0.39/0.60 (step @p7 :rule cong :premises (@p6) :args ((forall @t13 @t25))) % 0.39/0.60 (step @p8 :rule bool-impl-elim :args (@t5 @t3)) % 0.39/0.60 (step @p9 :rule refl :args (@t6)) % 0.39/0.60 (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t7)) % 0.39/0.60 (step @p11 :rule refl :args (@t9)) % 0.39/0.60 (step @p12 :rule cong :premises (@p11 @p10) :args (@t10)) % 0.39/0.60 (step @p13 :rule bool-not-eq-elim1 :args (@t9 @t11)) % 0.39/0.60 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or (not @t12) @t10))) % 0.39/0.60 (step @p15 :rule bool-impl-elim :args (@t12 @t10)) % 0.39/0.60 (step @p16 :rule trans :premises (@p15 @p14)) % 0.39/0.60 (step @p17 :rule cong :premises (@p16) :args (@t14)) % 0.39/0.60 (step @p18 :rule trans :premises (@p17 @p7)) % 0.39/0.60 (step @p19 :rule cong :premises (@p18) :args (@t16)) % 0.39/0.60 (step @p20 :rule trans :premises (@p19 @p3)) % 0.39/0.60 (step @p21 :rule cong :premises (@p20) :args (@t18)) % 0.39/0.60 (step @p22 :rule cong :premises (@p21) :args (@t19)) % 0.39/0.60 (step @p23 :rule eq_resolve :premises (@p1 @p22)) % 0.39/0.60 (step @p24 :rule refl :args (@t31)) % 0.39/0.60 (step @p25 :rule bool-double-not-elim :args (@t26)) % 0.39/0.60 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or (not @t32) @t31))) % 0.39/0.60 (step @p27 :rule eq-symm :args (@t28 @t20)) % 0.39/0.60 (step @p28 :rule refl :args (@t30)) % 0.39/0.60 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t33)) % 0.39/0.60 (step @p30 :rule cong :premises (@p29) :args (@t34)) % 0.39/0.60 (step @p31 :rule cong :premises (@p30) :args (@t35)) % 0.39/0.60 (step @p32 :rule cong :premises (@p31) :args (@t36)) % 0.39/0.60 (step @p33 :rule bool-double-not-elim :args (@t36)) % 0.39/0.60 (step @p34 :rule trans :premises (@p33 @p32)) % 0.39/0.60 (step @p35 :rule refl :args (@t32)) % 0.39/0.60 (step @p36 :rule cong :premises (@p35 @p34) :args ((=> @t32 @t37))) % 0.39/0.60 (assume-push @p99 @t32) % 0.39/0.60 (step @p38 :rule skolemize :premises (@p23)) % 0.39/0.60 (step-pop @p100 :rule scope :premises (@p38)) % 0.39/0.60 (step @p39 :rule process_scope :premises (@p100) :args (@t37)) % 0.39/0.60 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 0.39/0.60 (step @p42 :rule implies_elim :premises (@p41)) % 0.39/0.60 (step @p43 :rule eq_resolve :premises (@p42 @p26)) % 0.39/0.60 (step @p44 :rule chain_m_resolution :premises (@p43 @p23) :args (@t31 @t38 (@list @t26))) % 0.39/0.60 (step @p45 :rule eq-symm :args (@t44 @t28)) % 0.39/0.60 (step @p46 :rule nary_cong :premises (@p28 @p45) :args (@t45)) % 0.39/0.60 (step @p47 :rule cong :premises (@p46) :args (@t46)) % 0.39/0.60 (step @p48 :rule cong :premises (@p47) :args (@t47)) % 0.39/0.60 (step @p49 :rule cong :premises (@p24 @p48) :args ((=> @t31 @t47))) % 0.39/0.60 (assume-push @p101 @t31) % 0.39/0.60 (step @p51 :rule instantiate :premises (@p44) :args ((@list @t42 @t27))) % 0.39/0.60 (step-pop @p102 :rule scope :premises (@p51)) % 0.39/0.60 (step @p52 :rule process_scope :premises (@p102) :args (@t47)) % 0.39/0.60 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 0.39/0.60 (step @p55 :rule implies_elim :premises (@p54)) % 0.39/0.60 (step @p56 :rule chain_m_resolution :premises (@p55 @p44) :args ((not @t48) @t49 @t50)) % 0.39/0.60 (step @p57 :rule skolemize :premises (@p56)) % 0.39/0.60 (step @p58 :rule cnf_or_neg :args (@t57 1)) % 0.39/0.60 (step @p59 :rule chain_m_resolution :premises (@p58 @p57) :args ((not @t55) @t38 (@list @t57))) % 0.39/0.60 (step @p60 :rule eq-symm :args (@t40 @t28)) % 0.39/0.60 (step @p61 :rule nary_cong :premises (@p28 @p60) :args (@t58)) % 0.39/0.60 (step @p62 :rule cong :premises (@p61) :args (@t59)) % 0.39/0.60 (step @p63 :rule cong :premises (@p62) :args (@t60)) % 0.39/0.60 (step @p64 :rule cong :premises (@p24 @p63) :args ((=> @t31 @t60))) % 0.39/0.60 (assume-push @p103 @t31) % 0.39/0.60 (step @p66 :rule instantiate :premises (@p44) :args ((@list @t27 @t27))) % 0.39/0.60 (step-pop @p104 :rule scope :premises (@p66)) % 0.39/0.60 (step @p67 :rule process_scope :premises (@p104) :args (@t60)) % 0.39/0.60 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 0.39/0.60 (step @p70 :rule implies_elim :premises (@p69)) % 0.39/0.60 (step @p71 :rule chain_m_resolution :premises (@p70 @p44) :args ((not @t41) @t49 @t50)) % 0.39/0.60 (step @p72 :rule skolemize :premises (@p71)) % 0.39/0.60 (step @p73 :rule cnf_or_neg :args (@t66 0)) % 0.39/0.60 (step @p74 :rule chain_m_resolution :premises (@p73 @p72) :args ((not @t65) @t38 @t67)) % 0.39/0.60 (step @p75 :rule cnf_and_pos :args (@t63 0)) % 0.39/0.60 (step @p76 :rule reordering :premises (@p75) :args ((or @t61 (not @t63)))) % 0.39/0.60 (step @p77 :rule cnf_or_neg :args (@t66 1)) % 0.39/0.60 (step @p78 :rule chain_m_resolution :premises (@p77 @p72) :args ((not @t64) @t38 @t67)) % 0.39/0.60 (step @p79 :rule cnf_equiv_neg1 :args (@t64)) % 0.39/0.60 (step @p80 :rule reordering :premises (@p79) :args ((or @t61 @t63 @t64))) % 0.39/0.60 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p76) :args (@t61 (@list true true) (@list @t64 @t63))) % 0.39/0.60 (step @p82 :rule cnf_equiv_neg1 :args (@t65)) % 0.39/0.60 (step @p83 :rule reordering :premises (@p82) :args ((or @t43 @t62 @t65))) % 0.39/0.60 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p74) :args (@t43 (@list false true) (@list @t61 @t65))) % 0.39/0.60 (step @p85 :rule cnf_or_neg :args (@t52 1)) % 0.39/0.60 (step @p86 :rule reordering :premises (@p85) :args ((or (not @t43) @t52))) % 0.39/0.60 (step @p87 :rule chain_m_resolution :premises (@p86 @p84) :args (@t52 @t49 (@list @t43))) % 0.39/0.60 (step @p88 :rule cnf_and_neg :args (@t54)) % 0.39/0.60 (step @p89 :rule reordering :premises (@p88) :args ((or @t56 @t54 (not @t52)))) % 0.39/0.60 (step @p90 :rule cnf_equiv_neg2 :args (@t55)) % 0.39/0.60 (step @p91 :rule reordering :premises (@p90) :args ((or @t56 @t55 @t68))) % 0.39/0.60 (step @p92 :rule chain_m_resolution :premises (@p91 @p59 @p89 @p87) :args (@t56 (@list true false false) (@list @t55 @t54 @t52))) % 0.39/0.60 (step @p93 :rule cnf_and_pos :args (@t54 0)) % 0.39/0.60 (step @p94 :rule reordering :premises (@p93) :args ((or @t53 @t68))) % 0.39/0.60 (step @p95 :rule chain_m_resolution :premises (@p94 @p92) :args (@t68 @t38 (@list @t53))) % 0.39/0.60 (step @p96 :rule cnf_equiv_neg1 :args (@t55)) % 0.39/0.60 (step @p97 :rule reordering :premises (@p96) :args ((or @t53 @t54 @t55))) % 0.39/0.60 (step @p98 false :rule chain_m_resolution :premises (@p97 @p95 @p92 @p59) :args (false (@list true true true) (@list @t54 @t53 @t55))) % 0.39/0.60 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------