%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET860-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:48:52 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET860-2 : TPTP v9.2.1. Released v3.2.0. % 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 : n004.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 16:15:37 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Unsatisfiable % 0.37/0.58 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.c_Main_OsubsetI__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.t_a $$unsorted) % 0.37/0.59 (declare-const tptp.v_A $$unsorted) % 0.37/0.59 (declare-const tptp.v_C $$unsorted) % 0.37/0.59 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.v_B $$unsorted) % 0.37/0.59 (declare-const tptp.c_uminus (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.c_Union (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.c_UNIV $$unsorted) % 0.37/0.59 (declare-const tptp.c_Main_OUnionE__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.c_inter (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.c_emptyset $$unsorted) % 0.37/0.59 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.c_union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (define @t1 () (tptp.tc_set tptp.t_a)) % 0.37/0.59 (define @t2 () (tptp.c_Union tptp.v_C tptp.t_a)) % 0.37/0.59 (define @t3 () (tptp.c_lessequals @t2 tptp.v_A @t1)) % 0.37/0.59 (define @t4 () (tptp.c_lessequals tptp.v_B @t2 @t1)) % 0.37/0.59 (define @t5 () (@var "V_U" $$unsorted)) % 0.37/0.59 (define @t6 () (@var "T_a" $$unsorted)) % 0.37/0.59 (define @t7 () (tptp.tc_set @t6)) % 0.37/0.59 (define @t8 () (@var "V_A" $$unsorted)) % 0.37/0.59 (define @t9 () (tptp.c_uminus @t8 @t7)) % 0.37/0.59 (define @t10 () (@var "V_c" $$unsorted)) % 0.37/0.59 (define @t11 () (tptp.c_in @t10 @t9 @t6)) % 0.37/0.59 (define @t12 () (tptp.c_in @t10 @t8 @t6)) % 0.37/0.59 (define @t13 () (not @t12)) % 0.37/0.59 (define @t14 () (@list @t10 @t8 @t6)) % 0.37/0.59 (define @t15 () (@var "V_B" $$unsorted)) % 0.37/0.59 (define @t16 () (tptp.c_lessequals @t15 @t8 @t7)) % 0.37/0.59 (define @t17 () (tptp.c_lessequals @t9 (tptp.c_uminus @t15 @t7) @t7)) % 0.37/0.59 (define @t18 () (not @t16)) % 0.37/0.59 (define @t19 () (@list @t15 @t8 @t6)) % 0.37/0.59 (define @t20 () (tptp.c_in @t10 @t15 @t6)) % 0.37/0.59 (define @t21 () (tptp.c_in @t10 (tptp.c_inter @t8 @t15 @t6) @t6)) % 0.37/0.59 (define @t22 () (not @t21)) % 0.37/0.59 (define @t23 () (@list @t10 @t8 @t15 @t6)) % 0.37/0.59 (define @t24 () (not @t20)) % 0.37/0.59 (define @t25 () (@list @t10 @t15 @t6 @t8)) % 0.37/0.59 (define @t26 () (@var "V_x" $$unsorted)) % 0.37/0.59 (define @t27 () (tptp.c_in @t10 (tptp.c_union @t8 @t15 @t6) @t6)) % 0.37/0.59 (define @t28 () (@var "V_C" $$unsorted)) % 0.37/0.59 (define @t29 () (tptp.c_Main_OUnionE__1 @t8 @t28 @t6)) % 0.37/0.59 (define @t30 () (tptp.c_in @t8 (tptp.c_Union @t28 @t6) @t6)) % 0.37/0.59 (define @t31 () (not @t30)) % 0.37/0.59 (define @t32 () (@list @t8 @t28 @t6)) % 0.37/0.59 (define @t33 () (@var "V_X" $$unsorted)) % 0.37/0.59 (define @t34 () (@var "V_a" $$unsorted)) % 0.37/0.59 (define @t35 () (@var "V_b" $$unsorted)) % 0.37/0.59 (define @t36 () (tptp.c_lessequals @t8 @t15 @t7)) % 0.37/0.59 (define @t37 () (not @t36)) % 0.37/0.59 (define @t38 () (forall (@list @t10 @t8 @t6 @t15) (or @t13 @t37 @t20))) % 0.37/0.59 (define @t39 () (tptp.c_Main_OsubsetI__1 @t8 @t15 @t6)) % 0.37/0.59 (define @t40 () (@list @t8 @t15 @t6)) % 0.37/0.59 (define @t41 () (tptp.c_Main_OsubsetI__1 @t2 tptp.v_A tptp.t_a)) % 0.37/0.59 (define @t42 () (tptp.c_Main_OUnionE__1 @t41 tptp.v_C tptp.t_a)) % 0.37/0.59 (define @t43 () (tptp.c_Main_OsubsetI__1 tptp.v_B @t2 tptp.t_a)) % 0.37/0.59 (define @t44 () (@list @t41 tptp.v_C tptp.t_a)) % 0.37/0.59 (define @t45 () (@list @t2 tptp.v_A tptp.t_a)) % 0.37/0.59 (define @t46 () (tptp.c_in @t41 @t2 tptp.t_a)) % 0.37/0.59 (define @t47 () (or @t46 @t3)) % 0.37/0.59 (define @t48 () (@list true false)) % 0.37/0.59 (define @t49 () (tptp.c_in @t42 tptp.v_C @t1)) % 0.37/0.59 (define @t50 () (not @t46)) % 0.37/0.59 (define @t51 () (or @t50 @t49)) % 0.37/0.59 (define @t52 () (@list false false)) % 0.37/0.59 (define @t53 () (@list tptp.v_B @t2 tptp.t_a)) % 0.37/0.59 (define @t54 () (tptp.c_in @t43 @t2 tptp.t_a)) % 0.37/0.59 (define @t55 () (not @t54)) % 0.37/0.59 (define @t56 () (or @t55 @t4)) % 0.37/0.59 (define @t57 () (not @t49)) % 0.37/0.59 (define @t58 () (tptp.c_in @t43 @t42 tptp.t_a)) % 0.37/0.59 (define @t59 () (not @t58)) % 0.37/0.59 (define @t60 () (or @t59 @t57 @t54)) % 0.37/0.59 (define @t61 () (@list true false false)) % 0.37/0.59 (define @t62 () (tptp.c_in @t41 @t42 tptp.t_a)) % 0.37/0.59 (define @t63 () (or @t50 @t62)) % 0.37/0.59 (define @t64 () (tptp.c_in @t41 tptp.v_A tptp.t_a)) % 0.37/0.59 (define @t65 () (not @t64)) % 0.37/0.59 (define @t66 () (or @t65 @t3)) % 0.37/0.59 (define @t67 () (tptp.c_lessequals @t42 tptp.v_A @t1)) % 0.37/0.59 (define @t68 () (not @t67)) % 0.37/0.59 (define @t69 () (not @t62)) % 0.37/0.59 (define @t70 () (or @t69 @t68 @t64)) % 0.37/0.59 (define @t71 () (tptp.c_lessequals tptp.v_B @t42 @t1)) % 0.37/0.59 (define @t72 () (or @t71 @t67 @t57)) % 0.37/0.59 (define @t73 () (tptp.c_in @t43 tptp.v_B tptp.t_a)) % 0.37/0.59 (define @t74 () (or @t73 @t4)) % 0.37/0.59 (define @t75 () (not @t71)) % 0.37/0.59 (define @t76 () (not @t73)) % 0.37/0.59 (define @t77 () (or @t76 @t75 @t58)) % 0.37/0.59 (define @t78 () (not @t77)) % 0.37/0.59 (assume @p1 (not @t3)) % 0.37/0.59 (assume @p2 (not @t4)) % 0.37/0.59 (assume @p3 (forall (@list @t5) (or (tptp.c_lessequals tptp.v_B @t5 @t1) (tptp.c_lessequals @t5 tptp.v_A @t1) (not (tptp.c_in @t5 tptp.v_C @t1))))) % 0.37/0.59 (assume @p4 (forall @t14 (or @t13 (not @t11)))) % 0.37/0.59 (assume @p5 (forall @t14 (or @t12 @t11))) % 0.37/0.59 (assume @p6 (forall (@list @t8 @t6 @t15) (or (not @t17) @t16))) % 0.37/0.59 (assume @p7 (forall @t19 (or @t18 @t17))) % 0.37/0.59 (assume @p8 (forall @t23 (or @t22 @t20))) % 0.37/0.59 (assume @p9 (forall @t23 (or @t22 @t12))) % 0.37/0.59 (assume @p10 (forall @t25 (or @t24 @t13 @t21))) % 0.37/0.59 (assume @p11 (forall (@list @t26 @t6) (tptp.c_in @t26 tptp.c_UNIV @t6))) % 0.37/0.59 (assume @p12 (forall @t25 (or @t24 @t27))) % 0.37/0.59 (assume @p13 (forall @t23 (or (not @t27) @t20 @t12))) % 0.37/0.59 (assume @p14 (forall @t32 (or @t31 (tptp.c_in @t29 @t28 @t7)))) % 0.37/0.59 (assume @p15 (forall @t32 (or @t31 (tptp.c_in @t8 @t29 @t6)))) % 0.37/0.59 (assume @p16 (forall (@list @t8 @t33 @t6 @t28) (or (not (tptp.c_in @t8 @t33 @t6)) (not (tptp.c_in @t33 @t28 @t7)) @t30))) % 0.37/0.59 (assume @p17 (forall (@list @t34 @t6) (not (tptp.c_in @t34 tptp.c_emptyset @t6)))) % 0.37/0.59 (assume @p18 (forall (@list @t34 @t15 @t6 @t35) (or (not (tptp.c_in @t34 @t15 @t6)) (tptp.c_in @t34 (tptp.c_insert @t35 @t15 @t6) @t6)))) % 0.37/0.59 (assume @p19 (forall (@list @t26 @t15 @t6) (tptp.c_in @t26 (tptp.c_insert @t26 @t15 @t6) @t6))) % 0.37/0.59 (assume @p20 (forall (@list @t34 @t35 @t8 @t6) (or (not (tptp.c_in @t34 (tptp.c_insert @t35 @t8 @t6) @t6)) (tptp.c_in @t34 @t8 @t6) (= @t34 @t35)))) % 0.37/0.59 (assume @p21 @t38) % 0.37/0.59 (assume @p22 (forall @t40 (or (tptp.c_in @t39 @t8 @t6) @t36))) % 0.37/0.59 (assume @p23 (forall @t40 (or (not (tptp.c_in @t39 @t15 @t6)) @t36))) % 0.37/0.59 (assume @p24 (forall @t19 (or @t18 @t37 (= @t8 @t15)))) % 0.37/0.59 (step @p25 :rule instantiate :premises (@p16) :args ((@list @t43 @t42 tptp.t_a tptp.v_C))) % 0.37/0.59 (step @p26 :rule instantiate :premises (@p14) :args (@t44)) % 0.37/0.59 (step @p27 :rule instantiate :premises (@p22) :args (@t45)) % 0.37/0.59 (step @p28 :rule cnf_or_pos :args (@t47)) % 0.37/0.59 (step @p29 :rule reordering :premises (@p28) :args ((or @t3 @t46 (not @t47)))) % 0.37/0.59 (step @p30 :rule chain_m_resolution :premises (@p29 @p1 @p27) :args (@t46 @t48 (@list @t3 @t47))) % 0.37/0.59 (step @p31 :rule cnf_or_pos :args (@t51)) % 0.37/0.59 (step @p32 :rule reordering :premises (@p31) :args ((or @t50 @t49 (not @t51)))) % 0.37/0.59 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p26) :args (@t49 @t52 (@list @t46 @t51))) % 0.37/0.59 (step @p34 :rule instantiate :premises (@p23) :args (@t53)) % 0.37/0.59 (step @p35 :rule cnf_or_pos :args (@t56)) % 0.37/0.59 (step @p36 :rule reordering :premises (@p35) :args ((or @t4 @t55 (not @t56)))) % 0.37/0.59 (step @p37 :rule chain_m_resolution :premises (@p36 @p2 @p34) :args (@t55 @t48 (@list @t4 @t56))) % 0.37/0.59 (step @p38 :rule cnf_or_pos :args (@t60)) % 0.37/0.59 (step @p39 :rule reordering :premises (@p38) :args ((or @t54 @t57 @t59 (not @t60)))) % 0.37/0.59 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p33 @p25) :args (@t59 @t61 (@list @t54 @t49 @t60))) % 0.37/0.59 (step @p41 :rule instantiate :premises (@p3) :args ((@list @t42))) % 0.37/0.59 (step @p42 :rule instantiate :premises (@p21) :args ((@list @t41 @t42 tptp.t_a tptp.v_A))) % 0.37/0.59 (step @p43 :rule instantiate :premises (@p15) :args (@t44)) % 0.37/0.59 (step @p44 :rule cnf_or_pos :args (@t63)) % 0.37/0.59 (step @p45 :rule reordering :premises (@p44) :args ((or @t50 @t62 (not @t63)))) % 0.37/0.59 (step @p46 :rule chain_m_resolution :premises (@p45 @p30 @p43) :args (@t62 @t52 (@list @t46 @t63))) % 0.37/0.59 (step @p47 :rule instantiate :premises (@p23) :args (@t45)) % 0.37/0.59 (step @p48 :rule cnf_or_pos :args (@t66)) % 0.37/0.59 (step @p49 :rule reordering :premises (@p48) :args ((or @t3 @t65 (not @t66)))) % 0.37/0.59 (step @p50 :rule chain_m_resolution :premises (@p49 @p1 @p47) :args (@t65 @t48 (@list @t3 @t66))) % 0.37/0.59 (step @p51 :rule cnf_or_pos :args (@t70)) % 0.37/0.59 (step @p52 :rule reordering :premises (@p51) :args ((or @t64 @t69 @t68 (not @t70)))) % 0.37/0.59 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p46 @p42) :args (@t68 @t61 (@list @t64 @t62 @t70))) % 0.37/0.59 (step @p54 :rule cnf_or_pos :args (@t72)) % 0.37/0.59 (step @p55 :rule reordering :premises (@p54) :args ((or @t57 @t71 @t67 (not @t72)))) % 0.37/0.59 (step @p56 :rule chain_m_resolution :premises (@p55 @p33 @p53 @p41) :args (@t71 (@list false true false) (@list @t49 @t67 @t72))) % 0.37/0.59 (step @p57 :rule instantiate :premises (@p22) :args (@t53)) % 0.37/0.59 (step @p58 :rule cnf_or_pos :args (@t74)) % 0.37/0.59 (step @p59 :rule reordering :premises (@p58) :args ((or @t4 @t73 (not @t74)))) % 0.37/0.59 (step @p60 :rule chain_m_resolution :premises (@p59 @p2 @p57) :args (@t73 @t48 (@list @t4 @t74))) % 0.37/0.59 (step @p61 :rule cnf_or_pos :args (@t77)) % 0.37/0.59 (step @p62 :rule reordering :premises (@p61) :args ((or @t76 @t75 @t58 @t78))) % 0.37/0.59 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p56 @p40) :args (@t78 (@list false false true) (@list @t73 @t71 @t58))) % 0.37/0.59 (assume-push @p70 @t38) % 0.37/0.59 (step @p65 :rule instantiate :premises (@p21) :args ((@list @t43 tptp.v_B tptp.t_a @t42))) % 0.37/0.59 (step-pop @p71 :rule scope :premises (@p65)) % 0.37/0.59 (step @p66 :rule process_scope :premises (@p71) :args (@t77)) % 0.37/0.59 (step @p68 :rule implies_elim :premises (@p66)) % 0.37/0.59 (step @p69 false :rule chain_m_resolution :premises (@p68 @p63 @p21) :args (false @t48 (@list @t77 @t38))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------