%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN726+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 : n026.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 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN726+1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:34:25 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.p (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.q (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t3 () (tptp.q @t2 @t1)) % 0.37/0.56 (define @t4 () (@list @t2 @t1)) % 0.37/0.56 (define @t5 () (forall @t4 @t3)) % 0.37/0.56 (define @t6 () (tptp.p @t2 @t1)) % 0.37/0.56 (define @t7 () (forall @t4 @t6)) % 0.37/0.56 (define @t8 () (forall @t4 (or @t6 @t3))) % 0.37/0.56 (define @t9 () (tptp.q @t1 @t2)) % 0.37/0.56 (define @t10 () (forall @t4 (=> @t3 @t9))) % 0.37/0.56 (define @t11 () (@var "Z" $$unsorted)) % 0.37/0.56 (define @t12 () (tptp.q @t2 @t11)) % 0.37/0.56 (define @t13 () (tptp.q @t1 @t11)) % 0.37/0.56 (define @t14 () (and @t3 @t13)) % 0.37/0.56 (define @t15 () (@list @t2 @t1 @t11)) % 0.37/0.56 (define @t16 () (forall @t15 (=> @t14 @t12))) % 0.37/0.56 (define @t17 () (tptp.p @t2 @t11)) % 0.37/0.56 (define @t18 () (tptp.p @t1 @t11)) % 0.37/0.56 (define @t19 () (and @t6 @t18)) % 0.37/0.56 (define @t20 () (forall @t15 (=> @t19 @t17))) % 0.37/0.56 (define @t21 () (and @t20 @t16 @t10 @t8)) % 0.37/0.56 (define @t22 () (=> @t21 @t7)) % 0.37/0.56 (define @t23 () (or @t22 @t5)) % 0.37/0.56 (define @t24 () (not @t23)) % 0.37/0.56 (define @t25 () (not @t13)) % 0.37/0.56 (define @t26 () (not @t3)) % 0.37/0.56 (define @t27 () (not @t18)) % 0.37/0.56 (define @t28 () (not @t6)) % 0.37/0.56 (define @t29 () (@quantifiers_skolemize @t7 1)) % 0.37/0.56 (define @t30 () (@quantifiers_skolemize @t5 1)) % 0.37/0.56 (define @t31 () (@list @t30 @t29)) % 0.37/0.56 (define @t32 () (@quantifiers_skolemize @t7 0)) % 0.37/0.56 (define @t33 () (@quantifiers_skolemize @t5 0)) % 0.37/0.56 (define @t34 () (@list @t32 @t33)) % 0.37/0.56 (define @t35 () (tptp.q @t32 @t33)) % 0.37/0.56 (define @t36 () (tptp.p @t32 @t33)) % 0.37/0.56 (define @t37 () (or @t36 @t35)) % 0.37/0.56 (define @t38 () (tptp.q @t32 @t29)) % 0.37/0.56 (define @t39 () (tptp.p @t32 @t29)) % 0.37/0.56 (define @t40 () (or @t39 @t38)) % 0.37/0.56 (define @t41 () (@list true false)) % 0.37/0.56 (define @t42 () (tptp.q @t29 @t33)) % 0.37/0.56 (define @t43 () (not @t42)) % 0.37/0.56 (define @t44 () (not @t38)) % 0.37/0.56 (define @t45 () (or @t44 @t43 @t35)) % 0.37/0.56 (define @t46 () (tptp.p @t33 @t29)) % 0.37/0.56 (define @t47 () (not @t46)) % 0.37/0.56 (define @t48 () (not @t36)) % 0.37/0.56 (define @t49 () (or @t48 @t47 @t39)) % 0.37/0.56 (define @t50 () (@list @t33 @t29)) % 0.37/0.56 (define @t51 () (tptp.q @t33 @t29)) % 0.37/0.56 (define @t52 () (not @t51)) % 0.37/0.56 (define @t53 () (or @t52 @t42)) % 0.37/0.56 (define @t54 () (or @t46 @t51)) % 0.37/0.56 (define @t55 () (tptp.q @t33 @t32)) % 0.37/0.56 (define @t56 () (not @t35)) % 0.37/0.56 (define @t57 () (or @t56 @t55)) % 0.37/0.56 (define @t58 () (tptp.q @t33 @t30)) % 0.37/0.56 (define @t59 () (tptp.q @t32 @t30)) % 0.37/0.56 (define @t60 () (not @t59)) % 0.37/0.56 (define @t61 () (not @t55)) % 0.37/0.56 (define @t62 () (or @t61 @t60 @t58)) % 0.37/0.56 (define @t63 () (@list true false false)) % 0.37/0.56 (define @t64 () (tptp.p @t32 @t30)) % 0.37/0.56 (define @t65 () (or @t64 @t59)) % 0.37/0.56 (define @t66 () (tptp.p @t30 @t29)) % 0.37/0.56 (define @t67 () (not @t66)) % 0.37/0.56 (define @t68 () (not @t64)) % 0.37/0.56 (define @t69 () (or @t68 @t67 @t39)) % 0.37/0.56 (define @t70 () (tptp.q @t29 @t30)) % 0.37/0.56 (define @t71 () (not @t70)) % 0.37/0.56 (define @t72 () (or @t44 @t71 @t59)) % 0.37/0.56 (define @t73 () (tptp.q @t30 @t29)) % 0.37/0.56 (define @t74 () (not @t73)) % 0.37/0.56 (define @t75 () (or @t74 @t70)) % 0.37/0.56 (define @t76 () (or @t66 @t73)) % 0.37/0.56 (assume @p1 @t24) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule refl :args (@t5)) % 0.37/0.56 (step @p4 :rule refl :args (@t7)) % 0.37/0.56 (step @p5 :rule refl :args (@t8)) % 0.37/0.56 (step @p6 :rule bool-impl-elim :args (@t3 @t9)) % 0.37/0.56 (step @p7 :rule cong :premises (@p6) :args (@t10)) % 0.37/0.56 (step @p8 :rule aci_norm :args ((= (or (or @t26 @t25) @t12) (or @t26 @t25 @t12)))) % 0.37/0.56 (step @p9 :rule refl :args (@t12)) % 0.37/0.56 (step @p10 :rule bool-and-de-morgan :args (@t3 @t13 true)) % 0.37/0.56 (step @p11 :rule nary_cong :premises (@p10 @p9) :args ((or (not @t14) @t12))) % 0.37/0.56 (step @p12 :rule trans :premises (@p11 @p8)) % 0.37/0.56 (step @p13 :rule bool-impl-elim :args (@t14 @t12)) % 0.37/0.56 (step @p14 :rule trans :premises (@p13 @p12)) % 0.37/0.56 (step @p15 :rule cong :premises (@p14) :args (@t16)) % 0.37/0.56 (step @p16 :rule aci_norm :args ((= (or (or @t28 @t27) @t17) (or @t28 @t27 @t17)))) % 0.37/0.56 (step @p17 :rule refl :args (@t17)) % 0.37/0.56 (step @p18 :rule bool-and-de-morgan :args (@t6 @t18 true)) % 0.37/0.56 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t19) @t17))) % 0.37/0.56 (step @p20 :rule trans :premises (@p19 @p16)) % 0.37/0.56 (step @p21 :rule bool-impl-elim :args (@t19 @t17)) % 0.37/0.56 (step @p22 :rule trans :premises (@p21 @p20)) % 0.37/0.56 (step @p23 :rule cong :premises (@p22) :args (@t20)) % 0.37/0.56 (step @p24 :rule nary_cong :premises (@p23 @p15 @p7 @p5) :args (@t21)) % 0.37/0.56 (step @p25 :rule cong :premises (@p24 @p4) :args (@t22)) % 0.37/0.56 (step @p26 :rule nary_cong :premises (@p25 @p3) :args (@t23)) % 0.37/0.56 (step @p27 :rule cong :premises (@p26) :args (@t24)) % 0.37/0.56 (step @p28 :rule eq_resolve :premises (@p1 @p27)) % 0.37/0.56 (step @p29 :rule not_or_elim :premises (@p28) :args (0)) % 0.37/0.56 (step @p30 :rule not_implies_elim1 :premises (@p29)) % 0.37/0.56 (step @p31 :rule and_elim :premises (@p30) :args (3)) % 0.37/0.56 (step @p32 :rule instantiate :premises (@p31) :args (@t31)) % 0.37/0.56 (step @p33 :rule and_elim :premises (@p30) :args (0)) % 0.37/0.56 (step @p34 :rule instantiate :premises (@p33) :args ((@list @t32 @t30 @t29))) % 0.37/0.56 (step @p35 :rule instantiate :premises (@p31) :args ((@list @t32 @t30))) % 0.37/0.56 (step @p36 :rule and_elim :premises (@p30) :args (1)) % 0.37/0.56 (step @p37 :rule instantiate :premises (@p36) :args ((@list @t33 @t32 @t30))) % 0.37/0.56 (step @p38 :rule and_elim :premises (@p30) :args (2)) % 0.37/0.56 (step @p39 :rule instantiate :premises (@p38) :args (@t34)) % 0.37/0.56 (step @p40 :rule instantiate :premises (@p31) :args (@t34)) % 0.37/0.56 (step @p41 :rule cnf_or_pos :args (@t37)) % 0.37/0.56 (step @p42 :rule reordering :premises (@p41) :args ((or @t35 @t36 (not @t37)))) % 0.37/0.56 (step @p43 :rule instantiate :premises (@p31) :args ((@list @t32 @t29))) % 0.37/0.56 (step @p44 :rule not_implies_elim2 :premises (@p29)) % 0.37/0.56 (step @p45 :rule skolemize :premises (@p44)) % 0.37/0.56 (step @p46 :rule cnf_or_pos :args (@t40)) % 0.37/0.56 (step @p47 :rule reordering :premises (@p46) :args ((or @t39 @t38 (not @t40)))) % 0.37/0.56 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p43) :args (@t38 @t41 (@list @t39 @t40))) % 0.37/0.56 (step @p49 :rule instantiate :premises (@p36) :args ((@list @t32 @t29 @t33))) % 0.37/0.56 (step @p50 :rule cnf_or_pos :args (@t45)) % 0.37/0.56 (step @p51 :rule reordering :premises (@p50) :args ((or @t44 @t35 @t43 (not @t45)))) % 0.37/0.56 (step @p52 :rule instantiate :premises (@p33) :args ((@list @t32 @t33 @t29))) % 0.37/0.56 (step @p53 :rule cnf_or_pos :args (@t49)) % 0.37/0.56 (step @p54 :rule reordering :premises (@p53) :args ((or @t39 @t48 @t47 (not @t49)))) % 0.37/0.56 (step @p55 :rule instantiate :premises (@p38) :args (@t50)) % 0.37/0.56 (step @p56 :rule cnf_or_pos :args (@t53)) % 0.37/0.56 (step @p57 :rule reordering :premises (@p56) :args ((or @t42 @t52 (not @t53)))) % 0.37/0.56 (step @p58 :rule instantiate :premises (@p31) :args (@t50)) % 0.37/0.56 (step @p59 :rule cnf_or_pos :args (@t54)) % 0.37/0.56 (step @p60 :rule reordering :premises (@p59) :args ((or @t46 @t51 (not @t54)))) % 0.37/0.56 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p57 @p55 @p54 @p52 @p45 @p51 @p49 @p48 @p42 @p40) :args (@t35 (@list false true false true false true true false false false false) (@list @t54 @t51 @t53 @t46 @t49 @t39 @t42 @t45 @t38 @t36 @t37))) % 0.37/0.56 (step @p62 :rule cnf_or_pos :args (@t57)) % 0.37/0.56 (step @p63 :rule reordering :premises (@p62) :args ((or @t56 @t55 (not @t57)))) % 0.37/0.56 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p39) :args (@t55 (@list false false) (@list @t35 @t57))) % 0.37/0.56 (step @p65 :rule not_or_elim :premises (@p28) :args (1)) % 0.37/0.56 (step @p66 :rule skolemize :premises (@p65)) % 0.37/0.56 (step @p67 :rule cnf_or_pos :args (@t62)) % 0.37/0.56 (step @p68 :rule reordering :premises (@p67) :args ((or @t58 @t61 @t60 (not @t62)))) % 0.37/0.56 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p64 @p37) :args (@t60 @t63 (@list @t58 @t55 @t62))) % 0.37/0.57 (step @p70 :rule cnf_or_pos :args (@t65)) % 0.37/0.57 (step @p71 :rule reordering :premises (@p70) :args ((or @t64 @t59 (not @t65)))) % 0.37/0.57 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p35) :args (@t64 @t41 (@list @t59 @t65))) % 0.37/0.57 (step @p73 :rule cnf_or_pos :args (@t69)) % 0.37/0.57 (step @p74 :rule reordering :premises (@p73) :args ((or @t39 @t68 @t67 (not @t69)))) % 0.37/0.57 (step @p75 :rule chain_m_resolution :premises (@p74 @p45 @p72 @p34) :args (@t67 @t63 (@list @t39 @t64 @t69))) % 0.37/0.57 (step @p76 :rule instantiate :premises (@p38) :args (@t31)) % 0.37/0.57 (step @p77 :rule instantiate :premises (@p36) :args ((@list @t32 @t29 @t30))) % 0.37/0.57 (step @p78 :rule cnf_or_pos :args (@t72)) % 0.37/0.57 (step @p79 :rule reordering :premises (@p78) :args ((or @t44 @t59 @t71 (not @t72)))) % 0.37/0.57 (step @p80 :rule chain_m_resolution :premises (@p79 @p48 @p69 @p77) :args (@t71 (@list false true false) (@list @t38 @t59 @t72))) % 0.37/0.57 (step @p81 :rule cnf_or_pos :args (@t75)) % 0.37/0.57 (step @p82 :rule reordering :premises (@p81) :args ((or @t70 @t74 (not @t75)))) % 0.37/0.57 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p76) :args (@t74 @t41 (@list @t70 @t75))) % 0.37/0.57 (step @p84 :rule cnf_or_pos :args (@t76)) % 0.37/0.57 (step @p85 :rule reordering :premises (@p84) :args ((or @t73 @t66 (not @t76)))) % 0.37/0.57 (step @p86 false :rule chain_m_resolution :premises (@p85 @p83 @p75 @p32) :args (false (@list true true false) (@list @t73 @t66 @t76))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------