%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU284+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:51:14 AM UTC 2026 % Result : Theorem 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 : SEU284+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.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 16:51:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.empty_set $$unsorted) % 0.38/0.56 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.38/0.56 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.56 (define @t3 () (= (tptp.apply @t2 @t1) (tptp.singleton @t1))) % 0.38/0.56 (define @t4 () (@var "A" $$unsorted)) % 0.38/0.56 (define @t5 () (tptp.in @t1 @t4)) % 0.38/0.56 (define @t6 () (@list @t1)) % 0.38/0.56 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.38/0.56 (define @t8 () (tptp.relation_dom @t2)) % 0.38/0.56 (define @t9 () (tptp.function @t2)) % 0.38/0.56 (define @t10 () (tptp.relation @t2)) % 0.38/0.56 (define @t11 () (and @t10 @t9 (= @t8 @t4) @t7)) % 0.38/0.56 (define @t12 () (@list @t2)) % 0.38/0.56 (define @t13 () (exists @t12 @t11)) % 0.38/0.56 (define @t14 () (@list @t4)) % 0.38/0.56 (define @t15 () (forall @t14 @t13)) % 0.38/0.56 (define @t16 () (not @t15)) % 0.38/0.56 (define @t17 () (tptp.in @t2 @t4)) % 0.38/0.56 (define @t18 () (not @t17)) % 0.38/0.56 (define @t19 () (tptp.in @t4 @t2)) % 0.38/0.56 (define @t20 () (@list @t4 @t2)) % 0.38/0.56 (define @t21 () (tptp.function @t4)) % 0.38/0.56 (define @t22 () (tptp.relation @t4)) % 0.38/0.56 (define @t23 () (tptp.singleton @t2)) % 0.38/0.56 (define @t24 () (= @t1 @t23)) % 0.38/0.56 (define @t25 () (not @t24)) % 0.38/0.56 (define @t26 () (forall @t6 @t25)) % 0.38/0.56 (define @t27 () (and @t17 @t26)) % 0.38/0.56 (define @t28 () (not @t27)) % 0.38/0.56 (define @t29 () (forall @t12 @t28)) % 0.38/0.56 (define @t30 () (@var "D" $$unsorted)) % 0.38/0.56 (define @t31 () (= @t1 @t30)) % 0.38/0.56 (define @t32 () (= @t30 @t23)) % 0.38/0.56 (define @t33 () (and @t17 @t24 @t32)) % 0.38/0.56 (define @t34 () (@list @t2 @t1 @t30)) % 0.38/0.56 (define @t35 () (forall @t34 (=> @t33 @t31))) % 0.38/0.56 (define @t36 () (and @t35 @t29)) % 0.38/0.56 (define @t37 () (=> @t36 @t13)) % 0.38/0.56 (define @t38 () (forall @t14 @t37)) % 0.38/0.56 (define @t39 () (tptp.empty @t4)) % 0.38/0.56 (define @t40 () (tptp.relation tptp.empty_set)) % 0.38/0.56 (define @t41 () (tptp.empty tptp.empty_set)) % 0.38/0.56 (define @t42 () (tptp.relation_dom @t4)) % 0.38/0.56 (define @t43 () (tptp.empty @t42)) % 0.38/0.56 (define @t44 () (not @t39)) % 0.38/0.56 (define @t45 () (and @t44 @t22)) % 0.38/0.56 (define @t46 () (tptp.element @t4 @t2)) % 0.38/0.56 (define @t47 () (tptp.empty @t2)) % 0.38/0.56 (define @t48 () (forall @t6 (or (not @t5) @t3))) % 0.38/0.56 (define @t49 () (not @t48)) % 0.38/0.56 (define @t50 () (= @t4 @t8)) % 0.38/0.56 (define @t51 () (not @t50)) % 0.38/0.56 (define @t52 () (not @t9)) % 0.38/0.56 (define @t53 () (not @t10)) % 0.38/0.56 (define @t54 () (or @t53 @t52 @t51 @t49)) % 0.38/0.56 (define @t55 () (and @t10 @t9 @t50 @t48)) % 0.38/0.56 (define @t56 () (forall @t12 (not @t55))) % 0.38/0.56 (define @t57 () (not @t56)) % 0.38/0.56 (define @t58 () (not (forall @t12 @t54))) % 0.38/0.56 (define @t59 () (not (= @t23 @t23))) % 0.38/0.56 (define @t60 () (or @t25 @t25)) % 0.38/0.56 (define @t61 () (@list @t2 @t30)) % 0.38/0.56 (define @t62 () (not @t32)) % 0.38/0.56 (define @t63 () (or @t18 @t62 @t32)) % 0.38/0.56 (define @t64 () (or @t18 @t59 @t62 (= @t23 @t30))) % 0.38/0.56 (define @t65 () (or @t25 @t18 @t25 @t62 @t31)) % 0.38/0.56 (define @t66 () (or @t18 @t25 @t62 @t31)) % 0.38/0.56 (define @t67 () (forall @t6 @t66)) % 0.38/0.56 (define @t68 () (forall @t61 @t67)) % 0.38/0.56 (define @t69 () (forall (@list @t2 @t30 @t1) @t66)) % 0.38/0.56 (define @t70 () (or @t18 @t25 @t62)) % 0.38/0.56 (assume @p1 @t16) % 0.38/0.56 (assume @p2 (forall @t20 (=> @t19 @t18))) % 0.38/0.56 (assume @p3 true) % 0.38/0.56 (assume @p4 (exists @t14 (and @t22 @t21))) % 0.38/0.56 (assume @p5 @t38) % 0.38/0.56 (assume @p6 (forall @t14 (=> @t39 @t21))) % 0.38/0.56 (assume @p7 (forall @t14 (=> @t39 @t22))) % 0.38/0.56 (assume @p8 (forall @t14 (exists @t12 (tptp.element @t2 @t4)))) % 0.38/0.56 (assume @p9 (and @t41 @t40 (tptp.relation_empty_yielding tptp.empty_set))) % 0.38/0.56 (assume @p10 @t41) % 0.38/0.56 (assume @p11 (and @t41 @t40)) % 0.38/0.56 (assume @p12 (forall @t14 (=> @t45 (not @t43)))) % 0.38/0.56 (assume @p13 (forall @t14 (=> @t39 (and @t43 (tptp.relation @t42))))) % 0.38/0.56 (assume @p14 (exists @t14 (and @t39 @t22))) % 0.38/0.56 (assume @p15 (exists @t14 @t39)) % 0.38/0.56 (assume @p16 (exists @t14 @t45)) % 0.38/0.56 (assume @p17 (exists @t14 @t44)) % 0.38/0.56 (assume @p18 (exists @t14 (and @t22 (tptp.relation_empty_yielding @t4)))) % 0.38/0.56 (assume @p19 (forall @t20 (=> @t19 @t46))) % 0.38/0.56 (assume @p20 (forall @t20 (=> @t46 (or @t47 @t19)))) % 0.38/0.56 (assume @p21 (forall @t14 (=> @t39 (= @t4 tptp.empty_set)))) % 0.38/0.56 (assume @p22 (forall @t20 (not (and @t19 @t47)))) % 0.38/0.56 (assume @p23 (forall @t20 (not (and @t39 (not (= @t4 @t2)) @t47)))) % 0.38/0.56 (step @p24 :rule aci_norm :args ((= (or @t53 (or @t52 (or @t51 @t49))) @t54))) % 0.38/0.56 (step @p25 :rule bool-and-de-morgan :args (@t50 @t48 true)) % 0.38/0.56 (step @p26 :rule refl :args (@t52)) % 0.38/0.56 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or @t52 (not (and @t50 @t48))))) % 0.38/0.56 (step @p28 :rule bool-and-de-morgan :args (@t9 @t50 (and @t48))) % 0.38/0.56 (step @p29 :rule trans :premises (@p28 @p27)) % 0.38/0.56 (step @p30 :rule refl :args (@t53)) % 0.38/0.56 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t53 (not (and @t9 @t50 @t48))))) % 0.38/0.56 (step @p32 :rule bool-and-de-morgan :args (@t10 @t9 (and @t50 @t48))) % 0.38/0.56 (step @p33 :rule trans :premises (@p32 @p31)) % 0.38/0.56 (step @p34 :rule trans :premises (@p33 @p24)) % 0.38/0.56 (step @p35 :rule cong :premises (@p34) :args (@t56)) % 0.38/0.56 (step @p36 :rule cong :premises (@p35) :args (@t57)) % 0.38/0.56 (step @p37 :rule exists-elim :args ((= (exists @t12 @t55) @t57))) % 0.38/0.56 (step @p38 :rule trans :premises (@p37 @p36)) % 0.38/0.56 (step @p39 :rule bool-impl-elim :args (@t5 @t3)) % 0.38/0.56 (step @p40 :rule cong :premises (@p39) :args (@t7)) % 0.38/0.56 (step @p41 :rule eq-symm :args (@t8 @t4)) % 0.38/0.56 (step @p42 :rule refl :args (@t9)) % 0.38/0.56 (step @p43 :rule refl :args (@t10)) % 0.38/0.56 (step @p44 :rule nary_cong :premises (@p43 @p42 @p41 @p40) :args (@t11)) % 0.38/0.56 (step @p45 :rule cong :premises (@p44) :args (@t13)) % 0.38/0.56 (step @p46 :rule trans :premises (@p45 @p38)) % 0.38/0.56 (step @p47 :rule cong :premises (@p46) :args (@t15)) % 0.38/0.56 (step @p48 :rule cong :premises (@p47) :args (@t16)) % 0.38/0.56 (step @p49 :rule eq_resolve :premises (@p1 @p48)) % 0.38/0.56 (step @p50 :rule bool-impl-true2 :args (@t58)) % 0.38/0.56 (step @p51 :rule evaluate :args ((and true true))) % 0.38/0.56 (step @p52 :rule quant-unused-vars :args ((= (forall @t12 true) true))) % 0.38/0.56 (step @p53 :rule evaluate :args ((not false))) % 0.38/0.56 (step @p54 :rule absorb :args ((= (and @t17 false) false))) % 0.38/0.56 (step @p55 :rule evaluate :args ((not true))) % 0.38/0.56 (step @p56 :rule eq-refl :args (@t23)) % 0.38/0.56 (step @p57 :rule cong :premises (@p56) :args (@t59)) % 0.38/0.56 (step @p58 :rule trans :premises (@p57 @p55)) % 0.38/0.56 (step @p59 :rule quant-var-elim-eq :args ((= (forall @t6 @t60) @t59))) % 0.38/0.56 (step @p60 :rule aci_norm :args ((= @t25 @t60))) % 0.38/0.56 (step @p61 :rule cong :premises (@p60) :args (@t26)) % 0.38/0.56 (step @p62 :rule trans :premises (@p61 @p59)) % 0.38/0.56 (step @p63 :rule trans :premises (@p62 @p58)) % 0.38/0.56 (step @p64 :rule refl :args (@t17)) % 0.38/0.56 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t27)) % 0.38/0.56 (step @p66 :rule trans :premises (@p65 @p54)) % 0.38/0.56 (step @p67 :rule cong :premises (@p66) :args (@t28)) % 0.38/0.56 (step @p68 :rule trans :premises (@p67 @p53)) % 0.38/0.56 (step @p69 :rule cong :premises (@p68) :args (@t29)) % 0.38/0.56 (step @p70 :rule trans :premises (@p69 @p52)) % 0.38/0.56 (step @p71 :rule quant-unused-vars :args ((= (forall @t61 true) true))) % 0.38/0.56 (step @p72 :rule bool-or-taut2 :args ((or @t18) @t32 false false)) % 0.38/0.56 (step @p73 :rule cong :premises (@p72) :args ((forall @t61 @t63))) % 0.38/0.56 (step @p74 :rule trans :premises (@p73 @p71)) % 0.38/0.56 (step @p75 :rule aci_norm :args ((= (or @t18 false @t62 @t32) @t63))) % 0.38/0.56 (step @p76 :rule eq-symm :args (@t23 @t30)) % 0.38/0.56 (step @p77 :rule refl :args (@t62)) % 0.38/0.56 (step @p78 :rule refl :args (@t18)) % 0.38/0.56 (step @p79 :rule nary_cong :premises (@p78 @p58 @p77 @p76) :args (@t64)) % 0.38/0.56 (step @p80 :rule trans :premises (@p79 @p75)) % 0.38/0.56 (step @p81 :rule cong :premises (@p80) :args ((forall @t61 @t64))) % 0.38/0.56 (step @p82 :rule trans :premises (@p81 @p74)) % 0.38/0.56 (step @p83 :rule quant-var-elim-eq :args ((= (forall @t6 @t65) @t64))) % 0.38/0.56 (step @p84 :rule aci_norm :args ((= @t66 @t65))) % 0.38/0.56 (step @p85 :rule cong :premises (@p84) :args (@t67)) % 0.38/0.56 (step @p86 :rule trans :premises (@p85 @p83)) % 0.38/0.56 (step @p87 :rule cong :premises (@p86) :args (@t68)) % 0.38/0.56 (step @p88 :rule quant-merge-prenex :args ((= @t68 @t69))) % 0.38/0.56 (step @p89 :rule symm :premises (@p88)) % 0.38/0.56 (step @p90 :rule quant_var_reordering :args ((= (forall @t34 @t66) @t69))) % 0.38/0.56 (step @p91 :rule trans :premises (@p90 @p89 @p87)) % 0.38/0.56 (step @p92 :rule trans :premises (@p91 @p82)) % 0.38/0.56 (step @p93 :rule aci_norm :args ((= (or @t70 @t31) @t66))) % 0.38/0.56 (step @p94 :rule refl :args (@t31)) % 0.38/0.56 (step @p95 :rule aci_norm :args ((= (or @t18 (or @t25 @t62)) @t70))) % 0.38/0.56 (step @p96 :rule bool-and-de-morgan :args (@t24 @t32 true)) % 0.38/0.56 (step @p97 :rule refl :args (@t18)) % 0.38/0.56 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t18 (not (and @t24 @t32))))) % 0.38/0.56 (step @p99 :rule bool-and-de-morgan :args (@t17 @t24 (and @t32))) % 0.38/0.56 (step @p100 :rule trans :premises (@p99 @p98)) % 0.38/0.56 (step @p101 :rule trans :premises (@p100 @p95)) % 0.38/0.56 (step @p102 :rule nary_cong :premises (@p101 @p94) :args ((or (not @t33) @t31))) % 0.38/0.56 (step @p103 :rule trans :premises (@p102 @p93)) % 0.38/0.56 (step @p104 :rule bool-impl-elim :args (@t33 @t31)) % 0.38/0.56 (step @p105 :rule trans :premises (@p104 @p103)) % 0.38/0.56 (step @p106 :rule cong :premises (@p105) :args (@t35)) % 0.38/0.56 (step @p107 :rule trans :premises (@p106 @p92)) % 0.38/0.56 (step @p108 :rule nary_cong :premises (@p107 @p70) :args (@t36)) % 0.38/0.56 (step @p109 :rule trans :premises (@p108 @p51)) % 0.38/0.56 (step @p110 :rule cong :premises (@p109 @p46) :args (@t37)) % 0.38/0.56 (step @p111 :rule trans :premises (@p110 @p50)) % 0.38/0.56 (step @p112 :rule cong :premises (@p111) :args (@t38)) % 0.38/0.56 (step @p113 :rule eq_resolve :premises (@p5 @p112)) % 0.38/0.56 (step @p114 false :rule chain_m_resolution :premises (@p113 @p49) :args (false (@list true) (@list (forall @t14 @t58)))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------