%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT274-2 : 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 : n023.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 08:30:04 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT274-2 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n023.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 06:08:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Unsatisfiable % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.v_L $$unsorted) % 0.38/0.58 (declare-const tptp.v_a $$unsorted) % 0.38/0.58 (declare-const tptp.v_A $$unsorted) % 0.38/0.58 (declare-const tptp.v_sko__4mi (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.v_S $$unsorted) % 0.38/0.58 (declare-const tptp.c_emptyset $$unsorted) % 0.38/0.58 (declare-const tptp.t_a $$unsorted) % 0.38/0.58 (declare-const tptp.v_r $$unsorted) % 0.38/0.58 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.v_b $$unsorted) % 0.38/0.58 (declare-const tptp.v_sko__4mj (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.v_sko__4mk (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.c_Tarski_OisLub (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.c_Tarski_Ointerval (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.v_cl $$unsorted) % 0.38/0.58 (define @t1 () (@var "V_S" $$unsorted)) % 0.38/0.58 (define @t2 () (= @t1 tptp.c_emptyset)) % 0.38/0.58 (define @t3 () (@var "V_L" $$unsorted)) % 0.38/0.58 (define @t4 () (tptp.v_sko__4mk @t3 @t1 tptp.v_r)) % 0.38/0.58 (define @t5 () (tptp.c_in @t4 @t1 tptp.t_a)) % 0.38/0.58 (define @t6 () (@var "V_a" $$unsorted)) % 0.38/0.58 (define @t7 () (tptp.v_sko__4mj @t1 @t6 tptp.v_r)) % 0.38/0.58 (define @t8 () (tptp.c_in @t7 @t1 tptp.t_a)) % 0.38/0.58 (define @t9 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 0.38/0.58 (define @t10 () (tptp.c_in (tptp.c_Pair @t6 @t3 tptp.t_a tptp.t_a) tptp.v_r @t9)) % 0.38/0.58 (define @t11 () (tptp.tc_set tptp.t_a)) % 0.38/0.58 (define @t12 () (@var "V_A" $$unsorted)) % 0.38/0.58 (define @t13 () (not (tptp.c_lessequals @t1 @t12 @t11))) % 0.38/0.58 (define @t14 () (or @t13 @t10 @t8 @t5 @t2)) % 0.38/0.58 (define @t15 () (forall (@list @t1 @t12 @t6 @t3) @t14)) % 0.38/0.58 (define @t16 () (not (tptp.c_in (tptp.c_Pair @t4 @t3 tptp.t_a tptp.t_a) tptp.v_r @t9))) % 0.38/0.58 (define @t17 () (or @t16 @t13 @t10 @t8 @t2)) % 0.38/0.58 (define @t18 () (forall (@list @t3 @t1 @t12 @t6) @t17)) % 0.38/0.58 (define @t19 () (not (tptp.c_in (tptp.c_Pair @t6 @t7 tptp.t_a tptp.t_a) tptp.v_r @t9))) % 0.38/0.58 (define @t20 () (or @t19 @t13 @t10 @t5 @t2)) % 0.38/0.58 (define @t21 () (forall (@list @t6 @t1 @t12 @t3) @t20)) % 0.38/0.58 (define @t22 () (or @t19 @t16 @t13 @t10 @t2)) % 0.38/0.58 (define @t23 () (@list @t6 @t1 @t3 @t12)) % 0.38/0.58 (define @t24 () (forall @t23 @t22)) % 0.38/0.58 (define @t25 () (@var "T_a" $$unsorted)) % 0.38/0.58 (define @t26 () (tptp.tc_prod @t25 @t25)) % 0.38/0.58 (define @t27 () (@var "V_r" $$unsorted)) % 0.38/0.58 (define @t28 () (@var "V_x" $$unsorted)) % 0.38/0.58 (define @t29 () (tptp.c_in (tptp.c_Pair @t6 @t28 @t25 @t25) @t27 @t26)) % 0.38/0.58 (define @t30 () (@var "V_b" $$unsorted)) % 0.38/0.58 (define @t31 () (tptp.c_Tarski_Ointerval @t27 @t6 @t30 @t25)) % 0.38/0.58 (define @t32 () (not (tptp.c_lessequals @t1 @t31 (tptp.tc_set @t25)))) % 0.38/0.58 (define @t33 () (not (tptp.c_in @t28 @t1 @t25))) % 0.38/0.58 (define @t34 () (@list @t28 @t1 @t25 @t27 @t6 @t30)) % 0.38/0.58 (define @t35 () (tptp.c_in (tptp.c_Pair @t28 @t30 @t25 @t25) @t27 @t26)) % 0.38/0.58 (define @t36 () (@var "V_y" $$unsorted)) % 0.38/0.58 (define @t37 () (not (tptp.c_Tarski_OisLub @t1 tptp.v_cl @t3 tptp.t_a))) % 0.38/0.58 (define @t38 () (@var "V_z" $$unsorted)) % 0.38/0.58 (define @t39 () (tptp.v_sko__4mi @t1 tptp.v_r @t38)) % 0.38/0.58 (define @t40 () (tptp.c_in (tptp.c_Pair @t3 @t38 tptp.t_a tptp.t_a) tptp.v_r @t9)) % 0.38/0.58 (define @t41 () (not (tptp.c_in @t38 tptp.v_A tptp.t_a))) % 0.38/0.58 (define @t42 () (@list @t1 @t3 @t38)) % 0.38/0.58 (define @t43 () (tptp.c_in tptp.v_b tptp.v_A tptp.t_a)) % 0.38/0.58 (define @t44 () (tptp.c_Tarski_Ointerval tptp.v_r tptp.v_a tptp.v_b tptp.t_a)) % 0.38/0.58 (define @t45 () (tptp.c_lessequals tptp.v_S @t44 @t11)) % 0.38/0.58 (define @t46 () (tptp.c_Tarski_OisLub tptp.v_S tptp.v_cl tptp.v_L tptp.t_a)) % 0.38/0.58 (define @t47 () (tptp.c_in tptp.v_L @t44 tptp.t_a)) % 0.38/0.58 (define @t48 () (tptp.v_sko__4mk tptp.v_L tptp.v_S tptp.v_r)) % 0.38/0.58 (define @t49 () (tptp.v_sko__4mj tptp.v_S tptp.v_a tptp.v_r)) % 0.38/0.58 (define @t50 () (@list tptp.v_S tptp.v_L tptp.v_b)) % 0.38/0.58 (define @t51 () (tptp.v_sko__4mi tptp.v_S tptp.v_r tptp.v_b)) % 0.38/0.58 (define @t52 () (tptp.c_in @t51 tptp.v_S tptp.t_a)) % 0.38/0.58 (define @t53 () (tptp.c_in (tptp.c_Pair tptp.v_L tptp.v_b tptp.t_a tptp.t_a) tptp.v_r @t9)) % 0.38/0.58 (define @t54 () (not @t43)) % 0.38/0.58 (define @t55 () (not @t46)) % 0.38/0.58 (define @t56 () (or @t55 @t54 @t53 @t52)) % 0.38/0.58 (define @t57 () (tptp.c_in (tptp.c_Pair @t51 tptp.v_b tptp.t_a tptp.t_a) tptp.v_r @t9)) % 0.38/0.58 (define @t58 () (not @t57)) % 0.38/0.58 (define @t59 () (or @t55 @t54 @t58 @t53)) % 0.38/0.58 (define @t60 () (not @t45)) % 0.38/0.58 (define @t61 () (not @t52)) % 0.38/0.58 (define @t62 () (or @t61 @t60 @t57)) % 0.38/0.58 (define @t63 () (tptp.c_in (tptp.c_Pair tptp.v_a tptp.v_L tptp.t_a tptp.t_a) tptp.v_r @t9)) % 0.38/0.58 (define @t64 () (not @t63)) % 0.38/0.58 (define @t65 () (not @t53)) % 0.38/0.58 (define @t66 () (or @t65 @t64 @t47)) % 0.38/0.58 (define @t67 () (= tptp.c_emptyset tptp.v_S)) % 0.38/0.58 (define @t68 () (tptp.c_in @t48 tptp.v_S tptp.t_a)) % 0.38/0.58 (define @t69 () (tptp.c_in @t49 tptp.v_S tptp.t_a)) % 0.38/0.58 (define @t70 () (or @t60 @t63 @t69 @t68 @t67)) % 0.38/0.58 (define @t71 () (tptp.c_in (tptp.c_Pair @t48 tptp.v_L tptp.t_a tptp.t_a) tptp.v_r @t9)) % 0.38/0.58 (define @t72 () (not @t71)) % 0.38/0.58 (define @t73 () (or @t72 @t60 @t63 @t69 @t67)) % 0.38/0.58 (define @t74 () (not @t68)) % 0.38/0.58 (define @t75 () (or @t55 @t74 @t71)) % 0.38/0.58 (define @t76 () (tptp.c_in (tptp.c_Pair tptp.v_a @t49 tptp.t_a tptp.t_a) tptp.v_r @t9)) % 0.38/0.58 (define @t77 () (not @t69)) % 0.38/0.58 (define @t78 () (or @t77 @t60 @t76)) % 0.38/0.58 (define @t79 () (@list false false false)) % 0.38/0.58 (define @t80 () (not @t76)) % 0.38/0.58 (define @t81 () (or @t80 @t60 @t63 @t68 @t67)) % 0.38/0.58 (define @t82 () (@list true false true false false)) % 0.38/0.58 (define @t83 () (or @t80 @t72 @t60 @t63 @t67)) % 0.38/0.58 (define @t84 () (not @t83)) % 0.38/0.58 (define @t85 () (forall @t23 (or @t19 @t16 @t13 @t10 (= tptp.c_emptyset @t1)))) % 0.38/0.58 (assume @p1 @t15) % 0.38/0.58 (assume @p2 @t18) % 0.38/0.58 (assume @p3 @t21) % 0.38/0.58 (assume @p4 @t24) % 0.38/0.58 (assume @p5 (forall @t34 (or @t33 @t32 @t29))) % 0.38/0.58 (assume @p6 (forall @t34 (or @t33 @t32 @t35))) % 0.38/0.58 (assume @p7 (forall (@list @t28 @t30 @t25 @t27 @t6) (or (not @t35) (not @t29) (tptp.c_in @t28 @t31 @t25)))) % 0.38/0.58 (assume @p8 (forall (@list @t1 @t3 @t36) (or @t37 (not (tptp.c_in @t36 @t1 tptp.t_a)) (tptp.c_in (tptp.c_Pair @t36 @t3 tptp.t_a tptp.t_a) tptp.v_r @t9)))) % 0.38/0.58 (assume @p9 (forall @t42 (or @t37 @t41 @t40 (tptp.c_in @t39 @t1 tptp.t_a)))) % 0.38/0.58 (assume @p10 (forall @t42 (or @t37 @t41 (not (tptp.c_in (tptp.c_Pair @t39 @t38 tptp.t_a tptp.t_a) tptp.v_r @t9)) @t40))) % 0.38/0.58 (assume @p11 @t43) % 0.38/0.58 (assume @p12 @t45) % 0.38/0.58 (assume @p13 (not (= tptp.v_S tptp.c_emptyset))) % 0.38/0.58 (assume @p14 @t46) % 0.38/0.58 (assume @p15 (not @t47)) % 0.38/0.58 (step @p16 :rule eq-symm :args (@t1 tptp.c_emptyset)) % 0.38/0.58 (step @p17 :rule refl :args (@t10)) % 0.38/0.58 (step @p18 :rule refl :args (@t13)) % 0.38/0.58 (step @p19 :rule refl :args (@t16)) % 0.38/0.58 (step @p20 :rule refl :args (@t19)) % 0.38/0.58 (step @p21 :rule nary_cong :premises (@p20 @p19 @p18 @p17 @p16) :args (@t22)) % 0.38/0.58 (step @p22 :rule cong :premises (@p21) :args (@t24)) % 0.38/0.58 (step @p23 :rule eq_resolve :premises (@p4 @p22)) % 0.38/0.58 (step @p24 :rule instantiate :premises (@p8) :args ((@list tptp.v_S tptp.v_L @t48))) % 0.38/0.58 (step @p25 :rule refl :args (@t5)) % 0.38/0.58 (step @p26 :rule nary_cong :premises (@p20 @p18 @p17 @p25 @p16) :args (@t20)) % 0.38/0.58 (step @p27 :rule cong :premises (@p26) :args (@t21)) % 0.38/0.58 (step @p28 :rule eq_resolve :premises (@p3 @p27)) % 0.38/0.58 (step @p29 :rule instantiate :premises (@p28) :args ((@list tptp.v_a tptp.v_S @t44 tptp.v_L))) % 0.38/0.58 (step @p30 :rule instantiate :premises (@p5) :args ((@list @t49 tptp.v_S tptp.t_a tptp.v_r tptp.v_a tptp.v_b))) % 0.38/0.58 (step @p31 :rule symm :premises (@p13)) % 0.38/0.58 (step @p32 :rule instantiate :premises (@p7) :args ((@list tptp.v_L tptp.v_b tptp.t_a tptp.v_r tptp.v_a))) % 0.38/0.58 (step @p33 :rule instantiate :premises (@p9) :args (@t50)) % 0.38/0.58 (step @p34 :rule cnf_or_pos :args (@t56)) % 0.38/0.58 (step @p35 :rule reordering :premises (@p34) :args ((or @t54 @t55 @t53 @t52 (not @t56)))) % 0.38/0.58 (step @p36 :rule instantiate :premises (@p10) :args (@t50)) % 0.38/0.58 (step @p37 :rule cnf_or_pos :args (@t59)) % 0.38/0.58 (step @p38 :rule reordering :premises (@p37) :args ((or @t54 @t55 @t53 @t58 (not @t59)))) % 0.38/0.58 (step @p39 :rule instantiate :premises (@p6) :args ((@list @t51 tptp.v_S tptp.t_a tptp.v_r tptp.v_a tptp.v_b))) % 0.38/0.58 (step @p40 :rule cnf_or_pos :args (@t62)) % 0.38/0.58 (step @p41 :rule reordering :premises (@p40) :args ((or @t60 @t57 @t61 (not @t62)))) % 0.38/0.58 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p12 @p38 @p36 @p14 @p11 @p35 @p33 @p14 @p11) :args (@t53 (@list false false true false false false false false false false) (@list @t62 @t45 @t57 @t59 @t46 @t43 @t52 @t56 @t46 @t43))) % 0.38/0.58 (step @p43 :rule cnf_or_pos :args (@t66)) % 0.38/0.58 (step @p44 :rule reordering :premises (@p43) :args ((or @t47 @t65 @t64 (not @t66)))) % 0.38/0.58 (step @p45 :rule chain_m_resolution :premises (@p44 @p15 @p42 @p32) :args (@t64 (@list true false false) (@list @t47 @t53 @t66))) % 0.38/0.58 (step @p46 :rule refl :args (@t8)) % 0.38/0.58 (step @p47 :rule nary_cong :premises (@p18 @p17 @p46 @p25 @p16) :args (@t14)) % 0.38/0.58 (step @p48 :rule cong :premises (@p47) :args (@t15)) % 0.38/0.58 (step @p49 :rule eq_resolve :premises (@p1 @p48)) % 0.38/0.58 (step @p50 :rule instantiate :premises (@p49) :args ((@list tptp.v_S @t44 tptp.v_a tptp.v_L))) % 0.38/0.58 (step @p51 :rule cnf_or_pos :args (@t70)) % 0.38/0.58 (step @p52 :rule reordering :premises (@p51) :args ((or @t67 @t60 @t63 @t69 @t68 (not @t70)))) % 0.38/0.58 (step @p53 :rule nary_cong :premises (@p19 @p18 @p17 @p46 @p16) :args (@t17)) % 0.38/0.58 (step @p54 :rule cong :premises (@p53) :args (@t18)) % 0.38/0.58 (step @p55 :rule eq_resolve :premises (@p2 @p54)) % 0.38/0.58 (step @p56 :rule instantiate :premises (@p55) :args ((@list tptp.v_L tptp.v_S @t44 tptp.v_a))) % 0.38/0.58 (step @p57 :rule cnf_or_pos :args (@t73)) % 0.38/0.58 (step @p58 :rule reordering :premises (@p57) :args ((or @t67 @t60 @t63 @t69 @t72 (not @t73)))) % 0.38/0.58 (step @p59 :rule cnf_or_pos :args (@t75)) % 0.38/0.58 (step @p60 :rule reordering :premises (@p59) :args ((or @t55 @t71 @t74 (not @t75)))) % 0.38/0.58 (step @p61 :rule chain_m_resolution :premises (@p60 @p24 @p14 @p58 @p56 @p45 @p31 @p12 @p52 @p50 @p45 @p31 @p12) :args (@t69 (@list false false true false true true false false false true true false) (@list @t75 @t46 @t71 @t73 @t63 @t67 @t45 @t68 @t70 @t63 @t67 @t45))) % 0.38/0.58 (step @p62 :rule cnf_or_pos :args (@t78)) % 0.38/0.58 (step @p63 :rule reordering :premises (@p62) :args ((or @t60 @t76 @t77 (not @t78)))) % 0.38/0.58 (step @p64 :rule chain_m_resolution :premises (@p63 @p12 @p61 @p30) :args (@t76 @t79 (@list @t45 @t69 @t78))) % 0.38/0.58 (step @p65 :rule cnf_or_pos :args (@t81)) % 0.38/0.58 (step @p66 :rule reordering :premises (@p65) :args ((or @t67 @t60 @t63 @t80 @t68 (not @t81)))) % 0.38/0.58 (step @p67 :rule chain_m_resolution :premises (@p66 @p31 @p12 @p45 @p64 @p29) :args (@t68 @t82 (@list @t67 @t45 @t63 @t76 @t81))) % 0.38/0.58 (step @p68 :rule chain_m_resolution :premises (@p60 @p14 @p67 @p24) :args (@t71 @t79 (@list @t46 @t68 @t75))) % 0.38/0.58 (step @p69 :rule cnf_or_pos :args (@t83)) % 0.38/0.58 (step @p70 :rule reordering :premises (@p69) :args ((or @t67 @t60 @t63 @t80 @t72 @t84))) % 0.38/0.58 (step @p71 :rule chain_m_resolution :premises (@p70 @p31 @p12 @p45 @p64 @p68) :args (@t84 @t82 (@list @t67 @t45 @t63 @t76 @t71))) % 0.38/0.58 (assume-push @p78 @t85) % 0.38/0.58 (step @p73 :rule instantiate :premises (@p23) :args ((@list tptp.v_a tptp.v_S tptp.v_L @t44))) % 0.38/0.58 (step-pop @p79 :rule scope :premises (@p73)) % 0.38/0.58 (step @p74 :rule process_scope :premises (@p79) :args (@t83)) % 0.38/0.58 (step @p76 :rule implies_elim :premises (@p74)) % 0.38/0.58 (step @p77 false :rule chain_m_resolution :premises (@p76 @p71 @p23) :args (false (@list true false) (@list @t83 @t85))) % 0.38/0.58 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------