%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ131+1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:44:16 AM UTC 2026 % Result : Theorem 0.14s 0.37s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : PUZ131+1 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.24 % Computer : n024.cluster.edu % 0.06/0.24 % Model : x86_64 x86_64 % 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.24 % Memory : 8042.1875MB % 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.24 % CPULimit : 300 % 0.06/0.24 % WCLimit : 300 % 0.06/0.24 % DateTime : Tue Jun 2 08:19:00 EDT 2026 % 0.06/0.25 % CPUTime : % 0.14/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.14/0.37 % SZS status Theorem % 0.14/0.37 % SZS output start Proof % 0.14/0.37 ( % 0.14/0.37 (declare-sort $$unsorted 0) % 0.14/0.37 (declare-const tptp.teaches (-> $$unsorted $$unsorted Bool)) % 0.14/0.37 (declare-const tptp.csc410 $$unsorted) % 0.14/0.37 (declare-const tptp.victor $$unsorted) % 0.14/0.37 (declare-const tptp.enrolled (-> $$unsorted $$unsorted Bool)) % 0.14/0.37 (declare-const tptp.michael $$unsorted) % 0.14/0.37 (declare-const tptp.taughtby (-> $$unsorted $$unsorted Bool)) % 0.14/0.37 (declare-const tptp.course (-> $$unsorted Bool)) % 0.14/0.37 (declare-const tptp.coordinatorof (-> $$unsorted $$unsorted)) % 0.14/0.37 (declare-const tptp.professor (-> $$unsorted Bool)) % 0.14/0.37 (declare-const tptp.student (-> $$unsorted Bool)) % 0.14/0.37 (define @t1 () (@var "A" $$unsorted)) % 0.14/0.37 (define @t2 () (@list @t1)) % 0.14/0.37 (define @t3 () (tptp.course @t1)) % 0.14/0.37 (define @t4 () (tptp.student tptp.michael)) % 0.14/0.37 (define @t5 () (tptp.professor tptp.victor)) % 0.14/0.37 (define @t6 () (tptp.course tptp.csc410)) % 0.14/0.37 (define @t7 () (@var "Y" $$unsorted)) % 0.14/0.37 (define @t8 () (@var "X" $$unsorted)) % 0.14/0.37 (define @t9 () (tptp.enrolled @t8 @t7)) % 0.14/0.37 (define @t10 () (tptp.course @t7)) % 0.14/0.37 (define @t11 () (@list @t7)) % 0.14/0.37 (define @t12 () (tptp.student @t8)) % 0.14/0.37 (define @t13 () (@list @t8)) % 0.14/0.37 (define @t14 () (tptp.course @t8)) % 0.14/0.37 (define @t15 () (tptp.teaches (tptp.coordinatorof @t8) @t8)) % 0.14/0.37 (define @t16 () (forall @t13 (=> @t14 @t15))) % 0.14/0.37 (define @t17 () (@var "Z" $$unsorted)) % 0.14/0.37 (define @t18 () (tptp.taughtby @t8 @t17)) % 0.14/0.37 (define @t19 () (tptp.teaches @t17 @t7)) % 0.14/0.37 (define @t20 () (=> @t19 @t18)) % 0.14/0.37 (define @t21 () (tptp.professor @t17)) % 0.14/0.37 (define @t22 () (@list @t17)) % 0.14/0.37 (define @t23 () (forall @t22 (=> @t21 @t20))) % 0.14/0.37 (define @t24 () (=> @t9 @t23)) % 0.14/0.37 (define @t25 () (and @t12 @t10)) % 0.14/0.37 (define @t26 () (=> @t25 @t24)) % 0.14/0.37 (define @t27 () (@list @t8 @t7)) % 0.14/0.37 (define @t28 () (forall @t27 @t26)) % 0.14/0.37 (define @t29 () (tptp.enrolled tptp.michael tptp.csc410)) % 0.14/0.37 (define @t30 () (tptp.coordinatorof tptp.csc410)) % 0.14/0.37 (define @t31 () (tptp.taughtby tptp.michael tptp.victor)) % 0.14/0.37 (define @t32 () (tptp.teaches @t30 tptp.csc410)) % 0.14/0.37 (define @t33 () (not @t6)) % 0.14/0.37 (define @t34 () (or @t33 @t32)) % 0.14/0.37 (define @t35 () (@var "BOUND_VARIABLE_7572" $$unsorted)) % 0.14/0.37 (define @t36 () (tptp.taughtby @t8 @t35)) % 0.14/0.37 (define @t37 () (not (tptp.teaches @t35 @t7))) % 0.14/0.37 (define @t38 () (not (tptp.professor @t35))) % 0.14/0.37 (define @t39 () (not @t9)) % 0.14/0.37 (define @t40 () (not @t10)) % 0.14/0.37 (define @t41 () (not @t12)) % 0.14/0.37 (define @t42 () (or @t38 @t37 @t36)) % 0.14/0.37 (define @t43 () (or @t41 @t40 @t39 @t42)) % 0.14/0.37 (define @t44 () (forall (@list @t8 @t7 @t35) @t43)) % 0.14/0.37 (define @t45 () (@list @t35)) % 0.14/0.37 (define @t46 () (forall @t45 @t43)) % 0.14/0.37 (define @t47 () (forall @t45 @t42)) % 0.14/0.37 (define @t48 () (or @t41 @t40 @t39 @t47)) % 0.14/0.37 (define @t49 () (not @t19)) % 0.14/0.37 (define @t50 () (not @t21)) % 0.14/0.37 (define @t51 () (or @t50 @t49 @t18)) % 0.14/0.37 (define @t52 () (forall @t22 @t51)) % 0.14/0.37 (define @t53 () (or @t41 @t40 @t39 @t52)) % 0.14/0.37 (define @t54 () (=> @t9 @t52)) % 0.14/0.37 (define @t55 () (tptp.teaches tptp.victor tptp.csc410)) % 0.14/0.37 (define @t56 () (not @t55)) % 0.14/0.37 (define @t57 () (not @t5)) % 0.14/0.37 (define @t58 () (not @t29)) % 0.14/0.37 (define @t59 () (not @t4)) % 0.14/0.37 (define @t60 () (or @t59 @t33 @t58 @t57 @t56 @t31)) % 0.14/0.37 (define @t61 () (= tptp.victor @t30)) % 0.14/0.37 (define @t62 () (and @t61 @t32)) % 0.14/0.37 (assume @p1 (exists @t2 (tptp.student @t1))) % 0.14/0.37 (assume @p2 (exists @t2 (tptp.professor @t1))) % 0.14/0.37 (assume @p3 (exists @t2 @t3)) % 0.14/0.37 (assume @p4 @t4) % 0.14/0.37 (assume @p5 @t5) % 0.14/0.37 (assume @p6 @t6) % 0.14/0.37 (assume @p7 (forall @t2 (=> @t3 (tptp.professor (tptp.coordinatorof @t1))))) % 0.14/0.37 (assume @p8 (forall @t13 (=> @t12 (exists @t11 (and @t10 @t9))))) % 0.14/0.37 (assume @p9 (forall @t13 (=> (tptp.professor @t8) (exists @t11 (and @t10 (tptp.teaches @t8 @t7)))))) % 0.14/0.37 (assume @p10 (forall @t13 (=> @t14 (exists @t11 (and (tptp.student @t7) (tptp.enrolled @t7 @t8)))))) % 0.14/0.37 (assume @p11 (forall @t13 (=> @t14 (exists @t11 (and (tptp.professor @t7) (tptp.teaches @t7 @t8)))))) % 0.14/0.37 (assume @p12 @t16) % 0.14/0.37 (assume @p13 @t28) % 0.14/0.37 (assume @p14 @t29) % 0.14/0.37 (assume @p15 (= @t30 tptp.victor)) % 0.14/0.37 (assume @p16 (not @t31)) % 0.14/0.37 (assume @p17 true) % 0.14/0.37 (step @p18 :rule symm :premises (@p15)) % 0.14/0.37 (step @p19 :rule bool-impl-elim :args (@t14 @t15)) % 0.14/0.37 (step @p20 :rule cong :premises (@p19) :args (@t16)) % 0.14/0.37 (step @p21 :rule eq_resolve :premises (@p12 @p20)) % 0.14/0.37 (step @p22 :rule instantiate :premises (@p21) :args ((@list tptp.csc410))) % 0.14/0.37 (step @p23 :rule cnf_or_pos :args (@t34)) % 0.14/0.37 (step @p24 :rule reordering :premises (@p23) :args ((or @t33 @t32 (not @t34)))) % 0.14/0.37 (step @p25 :rule chain_m_resolution :premises (@p24 @p6 @p22) :args (@t32 (@list false false) (@list @t6 @t34))) % 0.14/0.37 (step @p26 :rule aci_norm :args ((= @t43 (or @t41 @t40 @t39 @t38 @t37 @t36)))) % 0.14/0.37 (step @p27 :rule cong :premises (@p26) :args (@t44)) % 0.14/0.37 (step @p28 :rule quant-merge-prenex :args ((= (forall @t27 @t46) @t44))) % 0.14/0.37 (step @p29 :rule alpha_equiv :args (@t47 (@list @t35) (@list @t17))) % 0.14/0.37 (step @p30 :rule refl :args (@t39)) % 0.14/0.37 (step @p31 :rule refl :args (@t40)) % 0.14/0.37 (step @p32 :rule refl :args (@t41)) % 0.14/0.37 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30 @p29) :args (@t48)) % 0.14/0.37 (step @p34 :rule quant-miniscope-or :args ((= @t46 @t48))) % 0.14/0.37 (step @p35 :rule trans :premises (@p34 @p33)) % 0.14/0.37 (step @p36 :rule symm :premises (@p35)) % 0.14/0.37 (step @p37 :rule cong :premises (@p36) :args ((forall @t27 @t53))) % 0.14/0.37 (step @p38 :rule trans :premises (@p37 @p28)) % 0.14/0.37 (step @p39 :rule trans :premises (@p38 @p27)) % 0.14/0.37 (step @p40 :rule aci_norm :args ((= (or (or @t41 @t40) (or @t39 @t52)) @t53))) % 0.14/0.37 (step @p41 :rule bool-impl-elim :args (@t9 @t52)) % 0.14/0.37 (step @p42 :rule bool-and-de-morgan :args (@t12 @t10 true)) % 0.14/0.37 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or (not @t25) @t54))) % 0.14/0.37 (step @p44 :rule trans :premises (@p43 @p40)) % 0.14/0.37 (step @p45 :rule bool-impl-elim :args (@t25 @t54)) % 0.14/0.37 (step @p46 :rule trans :premises (@p45 @p44)) % 0.14/0.37 (step @p47 :rule cong :premises (@p46) :args ((forall @t27 (=> @t25 @t54)))) % 0.14/0.37 (step @p48 :rule trans :premises (@p47 @p39)) % 0.14/0.37 (step @p49 :rule aci_norm :args ((= (or @t50 (or @t49 @t18)) @t51))) % 0.14/0.37 (step @p50 :rule bool-impl-elim :args (@t19 @t18)) % 0.14/0.37 (step @p51 :rule refl :args (@t50)) % 0.14/0.37 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t50 @t20))) % 0.14/0.37 (step @p53 :rule trans :premises (@p52 @p49)) % 0.14/0.37 (step @p54 :rule bool-impl-elim :args (@t21 @t20)) % 0.14/0.37 (step @p55 :rule trans :premises (@p54 @p53)) % 0.14/0.37 (step @p56 :rule cong :premises (@p55) :args (@t23)) % 0.14/0.37 (step @p57 :rule refl :args (@t9)) % 0.14/0.37 (step @p58 :rule cong :premises (@p57 @p56) :args (@t24)) % 0.14/0.37 (step @p59 :rule refl :args (@t25)) % 0.14/0.37 (step @p60 :rule cong :premises (@p59 @p58) :args (@t26)) % 0.14/0.37 (step @p61 :rule cong :premises (@p60) :args (@t28)) % 0.14/0.37 (step @p62 :rule trans :premises (@p61 @p48)) % 0.14/0.37 (step @p63 :rule eq_resolve :premises (@p13 @p62)) % 0.14/0.37 (step @p64 :rule instantiate :premises (@p63) :args ((@list tptp.michael tptp.csc410 tptp.victor))) % 0.14/0.37 (step @p65 :rule cnf_or_pos :args (@t60)) % 0.14/0.37 (step @p66 :rule reordering :premises (@p65) :args ((or @t31 @t59 @t57 @t33 @t58 @t56 (not @t60)))) % 0.14/0.37 (step @p67 :rule chain_m_resolution :premises (@p66 @p16 @p4 @p5 @p6 @p14 @p64) :args (@t56 (@list true false false false false false) (@list @t31 @t4 @t5 @t6 @t29 @t60))) % 0.14/0.37 (assume-push @p83 @t61) % 0.14/0.37 (assume-push @p84 @t32) % 0.14/0.37 (step @p70 :rule true_intro :premises (@p25)) % 0.14/0.37 (step @p71 :rule refl :args (tptp.csc410)) % 0.14/0.37 (step @p72 :rule cong :premises (@p18 @p71) :args (@t55)) % 0.14/0.37 (step @p73 :rule trans :premises (@p72 @p70)) % 0.14/0.37 (step @p74 :rule true_elim :premises (@p73)) % 0.14/0.37 (step-pop @p85 :rule scope :premises (@p74)) % 0.14/0.37 (step-pop @p86 :rule scope :premises (@p85)) % 0.14/0.37 (step @p75 :rule process_scope :premises (@p86) :args (@t55)) % 0.14/0.37 (step @p78 :rule implies_elim :premises (@p75)) % 0.14/0.37 (step @p79 :rule cnf_and_neg :args (@t62)) % 0.14/0.37 (step @p80 :rule resolution :premises (@p79 @p78) :args (true @t62)) % 0.14/0.37 (step @p81 :rule reordering :premises (@p80) :args ((or (not @t61) @t55 (not @t32)))) % 0.14/0.37 (step @p82 false :rule chain_m_resolution :premises (@p81 @p67 @p25 @p18) :args (false (@list true false false) (@list @t55 @t32 @t61))) % 0.14/0.37 ) % 0.14/0.37 % SZS output end Proof % 0.14/0.37 % cvc5 exiting %------------------------------------------------------------------------------