%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET853-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:48:50 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET853-2 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.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 16:15:30 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Unsatisfiable % 0.38/0.56 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.c_Zorn_Osucc (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_Zorn_OTFin__linear__lemma1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.v_xa $$unsorted) % 0.38/0.57 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.v_x $$unsorted) % 0.38/0.57 (declare-const tptp.c_Zorn_OTFin (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.v_S $$unsorted) % 0.38/0.57 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.t_a $$unsorted) % 0.38/0.57 (define @t1 () (tptp.tc_set tptp.t_a)) % 0.38/0.57 (define @t2 () (tptp.tc_set @t1)) % 0.38/0.57 (define @t3 () (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a)) % 0.38/0.57 (define @t4 () (tptp.c_in tptp.v_x @t3 @t2)) % 0.38/0.57 (define @t5 () (tptp.c_in tptp.v_xa @t3 @t2)) % 0.38/0.57 (define @t6 () (tptp.c_Zorn_Osucc tptp.v_S tptp.v_x tptp.t_a)) % 0.38/0.57 (define @t7 () (tptp.c_lessequals tptp.v_xa @t6 @t2)) % 0.38/0.57 (define @t8 () (= tptp.v_xa @t6)) % 0.38/0.57 (define @t9 () (tptp.c_Zorn_Osucc tptp.v_S tptp.v_xa tptp.t_a)) % 0.38/0.57 (define @t10 () (tptp.c_lessequals @t9 @t6 @t2)) % 0.38/0.57 (define @t11 () (@var "V_U" $$unsorted)) % 0.38/0.57 (define @t12 () (not (tptp.c_in @t11 @t3 @t2))) % 0.38/0.57 (define @t13 () (not (tptp.c_lessequals @t11 tptp.v_x @t2))) % 0.38/0.57 (define @t14 () (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S @t11 tptp.t_a) tptp.v_x @t2)) % 0.38/0.57 (define @t15 () (or @t14 (= @t11 tptp.v_x) @t13 @t12)) % 0.38/0.57 (define @t16 () (forall (@list @t11) @t15)) % 0.38/0.57 (define @t17 () (@var "V_B" $$unsorted)) % 0.38/0.57 (define @t18 () (@var "V_A" $$unsorted)) % 0.38/0.57 (define @t19 () (@var "T_a" $$unsorted)) % 0.38/0.57 (define @t20 () (tptp.tc_set @t19)) % 0.38/0.57 (define @t21 () (not (tptp.c_lessequals @t18 @t17 @t20))) % 0.38/0.57 (define @t22 () (not (tptp.c_lessequals @t17 @t18 @t20))) % 0.38/0.57 (define @t23 () (or @t22 @t21 (= @t18 @t17))) % 0.38/0.57 (define @t24 () (forall (@list @t17 @t18 @t19) @t23)) % 0.38/0.57 (define @t25 () (tptp.tc_set @t20)) % 0.38/0.57 (define @t26 () (@var "V_n" $$unsorted)) % 0.38/0.57 (define @t27 () (@var "V_m" $$unsorted)) % 0.38/0.57 (define @t28 () (@var "V_S" $$unsorted)) % 0.38/0.57 (define @t29 () (tptp.c_lessequals (tptp.c_Zorn_Osucc @t28 @t27 @t19) @t26 @t25)) % 0.38/0.57 (define @t30 () (tptp.c_lessequals @t26 @t27 @t25)) % 0.38/0.57 (define @t31 () (tptp.c_Zorn_OTFin @t28 @t19)) % 0.38/0.57 (define @t32 () (tptp.c_Zorn_OTFin__linear__lemma1__1 @t28 @t27 @t19)) % 0.38/0.57 (define @t33 () (not (tptp.c_in @t26 @t31 @t25))) % 0.38/0.57 (define @t34 () (not (tptp.c_in @t27 @t31 @t25))) % 0.38/0.57 (define @t35 () (@list @t27 @t28 @t19 @t26)) % 0.38/0.57 (define @t36 () (not (= @t32 @t27))) % 0.38/0.57 (define @t37 () (or @t34 @t33 @t36 @t30 @t29)) % 0.38/0.57 (define @t38 () (forall @t35 @t37)) % 0.38/0.57 (define @t39 () (@var "V_y" $$unsorted)) % 0.38/0.57 (define @t40 () (@var "V_x" $$unsorted)) % 0.38/0.57 (define @t41 () (tptp.c_lessequals @t6 tptp.v_xa @t2)) % 0.38/0.57 (define @t42 () (not @t41)) % 0.38/0.57 (define @t43 () (not @t7)) % 0.38/0.57 (define @t44 () (or @t43 @t42 @t8)) % 0.38/0.57 (define @t45 () (@list tptp.v_x tptp.v_S tptp.t_a tptp.v_xa)) % 0.38/0.57 (define @t46 () (tptp.c_lessequals tptp.v_xa tptp.v_x @t2)) % 0.38/0.57 (define @t47 () (tptp.c_Zorn_OTFin__linear__lemma1__1 tptp.v_S tptp.v_x tptp.t_a)) % 0.38/0.57 (define @t48 () (tptp.c_in @t47 @t3 @t2)) % 0.38/0.57 (define @t49 () (not @t5)) % 0.38/0.57 (define @t50 () (not @t4)) % 0.38/0.57 (define @t51 () (or @t50 @t49 @t48 @t46 @t41)) % 0.38/0.57 (define @t52 () (tptp.c_lessequals @t47 tptp.v_x @t2)) % 0.38/0.57 (define @t53 () (or @t50 @t49 @t46 @t52 @t41)) % 0.38/0.57 (define @t54 () (= tptp.v_x @t47)) % 0.38/0.57 (define @t55 () (not @t54)) % 0.38/0.57 (define @t56 () (or @t50 @t49 @t55 @t46 @t41)) % 0.38/0.57 (define @t57 () (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S @t47 tptp.t_a) tptp.v_x @t2)) % 0.38/0.57 (define @t58 () (not @t57)) % 0.38/0.57 (define @t59 () (or @t50 @t49 @t58 @t46 @t41)) % 0.38/0.57 (define @t60 () (not @t48)) % 0.38/0.57 (define @t61 () (not @t52)) % 0.38/0.57 (define @t62 () (or @t57 @t54 @t61 @t60)) % 0.38/0.57 (define @t63 () (tptp.c_lessequals @t9 tptp.v_x @t2)) % 0.38/0.57 (define @t64 () (not @t63)) % 0.38/0.57 (define @t65 () (or @t64 @t10)) % 0.38/0.57 (define @t66 () (not @t46)) % 0.38/0.57 (define @t67 () (= tptp.v_x tptp.v_xa)) % 0.38/0.57 (define @t68 () (or @t63 @t67 @t66 @t49)) % 0.38/0.57 (assume @p1 @t4) % 0.38/0.57 (assume @p2 @t5) % 0.38/0.57 (assume @p3 @t7) % 0.38/0.57 (assume @p4 (not @t8)) % 0.38/0.57 (assume @p5 (not @t10)) % 0.38/0.57 (assume @p6 @t16) % 0.38/0.57 (assume @p7 @t24) % 0.38/0.57 (assume @p8 (forall (@list @t18 @t19) (tptp.c_lessequals @t18 @t18 @t20))) % 0.38/0.57 (assume @p9 (forall @t35 (or @t34 @t33 (tptp.c_in @t32 @t31 @t25) @t30 @t29))) % 0.38/0.57 (assume @p10 (forall @t35 (or @t34 @t33 @t30 (tptp.c_lessequals @t32 @t27 @t25) @t29))) % 0.38/0.57 (assume @p11 @t38) % 0.38/0.57 (assume @p12 (forall @t35 (or @t34 @t33 (not (tptp.c_lessequals (tptp.c_Zorn_Osucc @t28 @t32 @t19) @t27 @t25)) @t30 @t29))) % 0.38/0.57 (assume @p13 (forall (@list @t40 @t39 @t19 @t28) (or (not (tptp.c_lessequals @t40 @t39 @t25)) (tptp.c_lessequals @t40 (tptp.c_Zorn_Osucc @t28 @t39 @t19) @t25)))) % 0.38/0.57 (step @p14 :rule evaluate :args ((= false true))) % 0.38/0.57 (step @p15 :rule instantiate :premises (@p8) :args ((@list @t9 @t1))) % 0.38/0.57 (step @p16 :rule true_intro :premises (@p15)) % 0.38/0.57 (step @p17 :rule refl :args (@t2)) % 0.38/0.57 (step @p18 :rule refl :args (tptp.t_a)) % 0.38/0.57 (step @p19 :rule refl :args (@t12)) % 0.38/0.57 (step @p20 :rule refl :args (@t13)) % 0.38/0.57 (step @p21 :rule eq-symm :args (@t11 tptp.v_x)) % 0.38/0.57 (step @p22 :rule refl :args (@t14)) % 0.38/0.57 (step @p23 :rule nary_cong :premises (@p22 @p21 @p20 @p19) :args (@t15)) % 0.38/0.57 (step @p24 :rule cong :premises (@p23) :args (@t16)) % 0.38/0.57 (step @p25 :rule eq_resolve :premises (@p6 @p24)) % 0.38/0.57 (step @p26 :rule instantiate :premises (@p25) :args ((@list tptp.v_xa))) % 0.38/0.57 (step @p27 :rule eq-symm :args (@t18 @t17)) % 0.38/0.57 (step @p28 :rule refl :args (@t21)) % 0.38/0.57 (step @p29 :rule refl :args (@t22)) % 0.38/0.57 (step @p30 :rule nary_cong :premises (@p29 @p28 @p27) :args (@t23)) % 0.38/0.57 (step @p31 :rule cong :premises (@p30) :args (@t24)) % 0.38/0.57 (step @p32 :rule eq_resolve :premises (@p7 @p31)) % 0.38/0.57 (step @p33 :rule instantiate :premises (@p32) :args ((@list tptp.v_xa @t6 @t1))) % 0.38/0.57 (step @p34 :rule cnf_or_pos :args (@t44)) % 0.38/0.57 (step @p35 :rule reordering :premises (@p34) :args ((or @t8 @t43 @t42 (not @t44)))) % 0.38/0.57 (step @p36 :rule chain_m_resolution :premises (@p35 @p4 @p3 @p33) :args (@t42 (@list true false false) (@list @t8 @t7 @t44))) % 0.38/0.57 (step @p37 :rule instantiate :premises (@p9) :args (@t45)) % 0.38/0.57 (step @p38 :rule cnf_or_pos :args (@t51)) % 0.38/0.57 (step @p39 :rule reordering :premises (@p38) :args ((or @t50 @t49 @t46 @t41 @t48 (not @t51)))) % 0.38/0.57 (step @p40 :rule instantiate :premises (@p10) :args (@t45)) % 0.38/0.57 (step @p41 :rule cnf_or_pos :args (@t53)) % 0.38/0.57 (step @p42 :rule reordering :premises (@p41) :args ((or @t50 @t49 @t46 @t41 @t52 (not @t53)))) % 0.38/0.57 (step @p43 :rule refl :args (@t29)) % 0.38/0.57 (step @p44 :rule refl :args (@t30)) % 0.38/0.57 (step @p45 :rule eq-symm :args (@t32 @t27)) % 0.38/0.57 (step @p46 :rule cong :premises (@p45) :args (@t36)) % 0.38/0.57 (step @p47 :rule refl :args (@t33)) % 0.38/0.57 (step @p48 :rule refl :args (@t34)) % 0.38/0.57 (step @p49 :rule nary_cong :premises (@p48 @p47 @p46 @p44 @p43) :args (@t37)) % 0.38/0.57 (step @p50 :rule cong :premises (@p49) :args (@t38)) % 0.38/0.57 (step @p51 :rule eq_resolve :premises (@p11 @p50)) % 0.38/0.57 (step @p52 :rule instantiate :premises (@p51) :args (@t45)) % 0.38/0.57 (step @p53 :rule cnf_or_pos :args (@t56)) % 0.38/0.57 (step @p54 :rule reordering :premises (@p53) :args ((or @t50 @t49 @t46 @t41 @t55 (not @t56)))) % 0.38/0.57 (step @p55 :rule instantiate :premises (@p12) :args (@t45)) % 0.38/0.57 (step @p56 :rule cnf_or_pos :args (@t59)) % 0.38/0.57 (step @p57 :rule reordering :premises (@p56) :args ((or @t50 @t49 @t46 @t41 @t58 (not @t59)))) % 0.38/0.57 (step @p58 :rule instantiate :premises (@p25) :args ((@list @t47))) % 0.38/0.57 (step @p59 :rule cnf_or_pos :args (@t62)) % 0.38/0.57 (step @p60 :rule reordering :premises (@p59) :args ((or @t54 @t57 @t60 @t61 (not @t62)))) % 0.38/0.57 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p57 @p55 @p36 @p2 @p1 @p54 @p52 @p36 @p2 @p1 @p42 @p40 @p36 @p2 @p1 @p39 @p37 @p36 @p2 @p1) :args (@t46 (@list false true false true false false true false true false false false false true false false false false true false false) (@list @t62 @t57 @t59 @t41 @t5 @t4 @t54 @t56 @t41 @t5 @t4 @t52 @t53 @t41 @t5 @t4 @t48 @t51 @t41 @t5 @t4))) % 0.38/0.57 (step @p62 :rule instantiate :premises (@p13) :args ((@list @t9 tptp.v_x tptp.t_a tptp.v_S))) % 0.38/0.57 (step @p63 :rule cnf_or_pos :args (@t65)) % 0.38/0.57 (step @p64 :rule reordering :premises (@p63) :args ((or @t10 @t64 (not @t65)))) % 0.38/0.57 (step @p65 :rule chain_m_resolution :premises (@p64 @p5 @p62) :args (@t64 (@list true false) (@list @t10 @t65))) % 0.38/0.57 (step @p66 :rule cnf_or_pos :args (@t68)) % 0.38/0.57 (step @p67 :rule reordering :premises (@p66) :args ((or @t49 @t63 @t67 @t66 (not @t68)))) % 0.38/0.57 (step @p68 :rule chain_m_resolution :premises (@p67 @p2 @p65 @p61 @p26) :args (@t67 (@list false true false false) (@list @t5 @t63 @t46 @t68))) % 0.38/0.57 (step @p69 :rule refl :args (tptp.v_S)) % 0.38/0.57 (step @p70 :rule cong :premises (@p69 @p68 @p18) :args (@t6)) % 0.38/0.57 (step @p71 :rule refl :args (@t9)) % 0.38/0.57 (step @p72 :rule cong :premises (@p71 @p70 @p17) :args (@t10)) % 0.38/0.57 (step @p73 :rule false_intro :premises (@p5)) % 0.38/0.57 (step @p74 :rule symm :premises (@p73)) % 0.38/0.57 (step @p75 :rule trans :premises (@p74 @p72 @p16)) % 0.38/0.57 (step @p76 false :rule eq_resolve :premises (@p75 @p14)) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------