%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ131-10 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 : Unsatisfiable 0.72s 1.00s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : PUZ131-10 : TPTP v9.2.1. Released v7.5.0. % 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n015.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 13:19:19 EDT 2026 % 0.16/0.33 % CPUTime : % 0.30/0.49 %----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... % 0.72/1.00 % SZS status Unsatisfiable % 0.72/1.00 % SZS output start Proof % 0.72/1.00 ( % 0.72/1.00 (declare-sort $$unsorted 0) % 0.72/1.00 (declare-const tptp.taughtby (-> $$unsorted $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.teaches (-> $$unsorted $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.enrolled (-> $$unsorted $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.sK5_course_type_A $$unsorted) % 0.72/1.00 (declare-const tptp.coordinatorof (-> $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.true $$unsorted) % 0.72/1.00 (declare-const tptp.michael $$unsorted) % 0.72/1.00 (declare-const tptp.sK2_course_enrolled_Y (-> $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.sK7_student_type_A $$unsorted) % 0.72/1.00 (declare-const tptp.student (-> $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.sK6_professor_type_A $$unsorted) % 0.72/1.00 (declare-const tptp.professor (-> $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.csc410 $$unsorted) % 0.72/1.00 (declare-const tptp.sK1_course_teaches_Y (-> $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.course (-> $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.sK3_professor_teaches_Y (-> $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.victor $$unsorted) % 0.72/1.00 (declare-const tptp.sK4_student_enrolled_axiom_Y (-> $$unsorted $$unsorted)) % 0.72/1.00 (define @t1 () (@var "B" $$unsorted)) % 0.72/1.00 (define @t2 () (@var "C" $$unsorted)) % 0.72/1.00 (define @t3 () (@var "A" $$unsorted)) % 0.72/1.00 (define @t4 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 0.72/1.00 (define @t5 () (forall (@list @t3 @t1 @t2) (= @t4 @t1))) % 0.72/1.00 (define @t6 () (tptp.course tptp.sK5_course_type_A)) % 0.72/1.00 (define @t7 () (tptp.student tptp.michael)) % 0.72/1.00 (define @t8 () (tptp.professor tptp.victor)) % 0.72/1.00 (define @t9 () (tptp.course tptp.csc410)) % 0.72/1.00 (define @t10 () (@var "X" $$unsorted)) % 0.72/1.00 (define @t11 () (tptp.sK4_student_enrolled_axiom_Y @t10)) % 0.72/1.00 (define @t12 () (tptp.student @t10)) % 0.72/1.00 (define @t13 () (@list @t10)) % 0.72/1.00 (define @t14 () (tptp.sK3_professor_teaches_Y @t10)) % 0.72/1.00 (define @t15 () (tptp.professor @t10)) % 0.72/1.00 (define @t16 () (tptp.sK2_course_enrolled_Y @t10)) % 0.72/1.00 (define @t17 () (tptp.course @t10)) % 0.72/1.00 (define @t18 () (tptp.sK1_course_teaches_Y @t10)) % 0.72/1.00 (define @t19 () (tptp.ifeq @t17 tptp.true (tptp.teaches (tptp.coordinatorof @t10) @t10) tptp.true)) % 0.72/1.00 (define @t20 () (forall @t13 (= @t19 tptp.true))) % 0.72/1.00 (define @t21 () (@var "Z" $$unsorted)) % 0.72/1.00 (define @t22 () (@var "Y" $$unsorted)) % 0.72/1.00 (define @t23 () (tptp.ifeq (tptp.teaches @t21 @t22) tptp.true (tptp.ifeq (tptp.enrolled @t10 @t22) tptp.true (tptp.ifeq (tptp.course @t22) tptp.true (tptp.ifeq (tptp.professor @t21) tptp.true (tptp.ifeq @t12 tptp.true (tptp.taughtby @t10 @t21) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) % 0.72/1.00 (define @t24 () (forall (@list @t21 @t22 @t10) (= @t23 tptp.true))) % 0.72/1.00 (define @t25 () (tptp.enrolled tptp.michael tptp.csc410)) % 0.72/1.00 (define @t26 () (tptp.coordinatorof tptp.csc410)) % 0.72/1.00 (define @t27 () (tptp.taughtby tptp.michael tptp.victor)) % 0.72/1.00 (define @t28 () (tptp.teaches @t26 tptp.csc410)) % 0.72/1.00 (define @t29 () (tptp.ifeq @t7 tptp.true @t27 tptp.true)) % 0.72/1.00 (define @t30 () (tptp.ifeq @t8 tptp.true @t29 tptp.true)) % 0.72/1.00 (define @t31 () (tptp.ifeq @t9 tptp.true @t30 tptp.true)) % 0.72/1.00 (define @t32 () (tptp.ifeq @t25 tptp.true @t31 tptp.true)) % 0.72/1.00 (define @t33 () (tptp.teaches tptp.victor tptp.csc410)) % 0.72/1.00 (define @t34 () (tptp.ifeq @t33 tptp.true @t32 tptp.true)) % 0.72/1.00 (define @t35 () (= tptp.true @t34)) % 0.72/1.00 (define @t36 () (not @t35)) % 0.72/1.00 (define @t37 () (= @t27 (tptp.ifeq tptp.true tptp.true @t27 tptp.true))) % 0.72/1.00 (define @t38 () (not @t37)) % 0.72/1.00 (define @t39 () (tptp.ifeq tptp.true tptp.true @t28 tptp.true)) % 0.72/1.00 (define @t40 () (= @t28 @t39)) % 0.72/1.00 (define @t41 () (not @t40)) % 0.72/1.00 (define @t42 () (= tptp.true (tptp.ifeq @t9 tptp.true @t28 tptp.true))) % 0.72/1.00 (define @t43 () (not @t42)) % 0.72/1.00 (define @t44 () (= tptp.true @t27)) % 0.72/1.00 (define @t45 () (= tptp.victor @t26)) % 0.72/1.00 (define @t46 () (not @t45)) % 0.72/1.00 (define @t47 () (= tptp.true @t25)) % 0.72/1.00 (define @t48 () (not @t47)) % 0.72/1.00 (define @t49 () (= tptp.true @t9)) % 0.72/1.00 (define @t50 () (not @t49)) % 0.72/1.00 (define @t51 () (= tptp.true @t8)) % 0.72/1.00 (define @t52 () (not @t51)) % 0.72/1.00 (define @t53 () (= tptp.true @t7)) % 0.72/1.00 (define @t54 () (not @t53)) % 0.72/1.00 (define @t55 () (= tptp.true @t6)) % 0.72/1.00 (define @t56 () (not @t55)) % 0.72/1.00 (define @t57 () (not @t44)) % 0.72/1.00 (define @t58 () (and @t55 @t53 @t51 @t49 @t47 @t45 @t57 @t42 @t40 @t37)) % 0.72/1.00 (assume @p1 @t5) % 0.72/1.00 (assume @p2 (= (tptp.student tptp.sK7_student_type_A) tptp.true)) % 0.72/1.00 (assume @p3 (= (tptp.professor tptp.sK6_professor_type_A) tptp.true)) % 0.72/1.00 (assume @p4 (= @t6 tptp.true)) % 0.72/1.00 (assume @p5 (= @t7 tptp.true)) % 0.72/1.00 (assume @p6 (= @t8 tptp.true)) % 0.72/1.00 (assume @p7 (= @t9 tptp.true)) % 0.72/1.00 (assume @p8 (forall (@list @t3) (= (tptp.ifeq (tptp.course @t3) tptp.true (tptp.professor (tptp.coordinatorof @t3)) tptp.true) tptp.true))) % 0.72/1.00 (assume @p9 (forall @t13 (= (tptp.ifeq @t12 tptp.true (tptp.enrolled @t10 @t11) tptp.true) tptp.true))) % 0.72/1.00 (assume @p10 (forall @t13 (= (tptp.ifeq @t12 tptp.true (tptp.course @t11) tptp.true) tptp.true))) % 0.72/1.00 (assume @p11 (forall @t13 (= (tptp.ifeq @t15 tptp.true (tptp.teaches @t10 @t14) tptp.true) tptp.true))) % 0.72/1.00 (assume @p12 (forall @t13 (= (tptp.ifeq @t15 tptp.true (tptp.course @t14) tptp.true) tptp.true))) % 0.72/1.00 (assume @p13 (forall @t13 (= (tptp.ifeq @t17 tptp.true (tptp.enrolled @t16 @t10) tptp.true) tptp.true))) % 0.72/1.00 (assume @p14 (forall @t13 (= (tptp.ifeq @t17 tptp.true (tptp.student @t16) tptp.true) tptp.true))) % 0.72/1.00 (assume @p15 (forall @t13 (= (tptp.ifeq @t17 tptp.true (tptp.teaches @t18 @t10) tptp.true) tptp.true))) % 0.72/1.00 (assume @p16 (forall @t13 (= (tptp.ifeq @t17 tptp.true (tptp.professor @t18) tptp.true) tptp.true))) % 0.72/1.00 (assume @p17 @t20) % 0.72/1.00 (assume @p18 @t24) % 0.72/1.00 (assume @p19 (= @t25 tptp.true)) % 0.72/1.00 (assume @p20 (= @t26 tptp.victor)) % 0.72/1.00 (assume @p21 (not (= @t27 tptp.true))) % 0.72/1.00 (step @p22 :rule symm :premises (@p4)) % 0.72/1.00 (step @p23 :rule symm :premises (@p5)) % 0.72/1.00 (step @p24 :rule symm :premises (@p6)) % 0.72/1.00 (step @p25 :rule symm :premises (@p7)) % 0.72/1.00 (step @p26 :rule symm :premises (@p19)) % 0.72/1.00 (step @p27 :rule symm :premises (@p20)) % 0.72/1.00 (step @p28 :rule symm :premises (@p21)) % 0.72/1.00 (step @p29 :rule eq-symm :args (@t19 tptp.true)) % 0.72/1.00 (step @p30 :rule cong :premises (@p29) :args (@t20)) % 0.72/1.00 (step @p31 :rule eq_resolve :premises (@p17 @p30)) % 0.72/1.00 (step @p32 :rule instantiate :premises (@p31) :args ((@list tptp.csc410))) % 0.72/1.00 (step @p33 :rule eq-symm :args (@t4 @t1)) % 0.72/1.00 (step @p34 :rule cong :premises (@p33) :args (@t5)) % 0.72/1.00 (step @p35 :rule eq_resolve :premises (@p1 @p34)) % 0.72/1.00 (step @p36 :rule instantiate :premises (@p35) :args ((@list tptp.true @t28 tptp.true))) % 0.72/1.00 (step @p37 :rule instantiate :premises (@p35) :args ((@list tptp.true @t27 tptp.true))) % 0.72/1.00 (step @p38 :rule eq-symm :args (@t23 tptp.true)) % 0.72/1.00 (step @p39 :rule cong :premises (@p38) :args (@t24)) % 0.72/1.00 (step @p40 :rule eq_resolve :premises (@p18 @p39)) % 0.72/1.00 (step @p41 :rule instantiate :premises (@p40) :args ((@list tptp.victor tptp.csc410 tptp.michael))) % 0.72/1.00 (step @p42 :rule refl :args (@t36)) % 0.72/1.00 (step @p43 :rule refl :args (@t38)) % 0.72/1.00 (step @p44 :rule refl :args (@t41)) % 0.72/1.00 (step @p45 :rule refl :args (@t43)) % 0.72/1.00 (step @p46 :rule bool-double-not-elim :args (@t44)) % 0.72/1.00 (step @p47 :rule refl :args (@t46)) % 0.72/1.00 (step @p48 :rule refl :args (@t48)) % 0.72/1.00 (step @p49 :rule refl :args (@t50)) % 0.72/1.00 (step @p50 :rule refl :args (@t52)) % 0.72/1.00 (step @p51 :rule refl :args (@t54)) % 0.72/1.00 (step @p52 :rule refl :args (@t56)) % 0.72/1.00 (step @p53 :rule nary_cong :premises (@p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42) :args ((or @t56 @t54 @t52 @t50 @t48 @t46 (not @t57) @t43 @t41 @t38 @t36))) % 0.72/1.00 (assume-push @p114 @t55) % 0.72/1.00 (assume-push @p115 @t53) % 0.72/1.00 (assume-push @p116 @t51) % 0.72/1.00 (assume-push @p117 @t49) % 0.72/1.00 (assume-push @p118 @t47) % 0.72/1.00 (assume-push @p119 @t45) % 0.72/1.00 (assume-push @p120 @t57) % 0.72/1.00 (assume-push @p121 @t42) % 0.72/1.00 (assume-push @p122 @t40) % 0.72/1.00 (assume-push @p123 @t37) % 0.72/1.00 (step @p64 :rule false_intro :premises (@p28)) % 0.72/1.00 (step @p65 :rule symm :premises (@p37)) % 0.72/1.00 (step @p66 :rule refl :args (tptp.true)) % 0.72/1.00 (step @p67 :rule refl :args (@t27)) % 0.72/1.00 (step @p68 :rule cong :premises (@p5 @p66 @p67 @p66) :args (@t29)) % 0.72/1.00 (step @p69 :rule trans :premises (@p68 @p65)) % 0.72/1.00 (step @p70 :rule symm :premises (@p68)) % 0.72/1.00 (step @p71 :rule cong :premises (@p66 @p66 @p69 @p66) :args ((tptp.ifeq tptp.true tptp.true @t29 tptp.true))) % 0.72/1.00 (step @p72 :rule refl :args (@t29)) % 0.72/1.00 (step @p73 :rule cong :premises (@p6 @p66 @p72 @p66) :args (@t30)) % 0.72/1.00 (step @p74 :rule trans :premises (@p73 @p71 @p70)) % 0.72/1.00 (step @p75 :rule trans :premises (@p74 @p69)) % 0.72/1.00 (step @p76 :rule cong :premises (@p66 @p66 @p75 @p66) :args ((tptp.ifeq tptp.true tptp.true @t30 tptp.true))) % 0.72/1.00 (step @p77 :rule symm :premises (@p74)) % 0.72/1.00 (step @p78 :rule refl :args (@t30)) % 0.72/1.00 (step @p79 :rule cong :premises (@p7 @p66 @p78 @p66) :args (@t31)) % 0.72/1.00 (step @p80 :rule trans :premises (@p79 @p76 @p70)) % 0.72/1.00 (step @p81 :rule trans :premises (@p80 @p77)) % 0.72/1.00 (step @p82 :rule cong :premises (@p19 @p66 @p81 @p66) :args (@t32)) % 0.72/1.00 (step @p83 :rule trans :premises (@p82 @p76 @p70)) % 0.72/1.00 (step @p84 :rule trans :premises (@p83 @p77)) % 0.72/1.00 (step @p85 :rule symm :premises (@p32)) % 0.72/1.00 (step @p86 :rule refl :args (@t28)) % 0.72/1.00 (step @p87 :rule cong :premises (@p25 @p66 @p86 @p66) :args (@t39)) % 0.72/1.00 (step @p88 :rule refl :args (tptp.csc410)) % 0.72/1.00 (step @p89 :rule cong :premises (@p27 @p88) :args (@t33)) % 0.72/1.00 (step @p90 :rule trans :premises (@p89 @p36 @p87 @p85 @p22)) % 0.72/1.00 (step @p91 :rule trans :premises (@p90 @p4)) % 0.72/1.00 (step @p92 :rule cong :premises (@p91 @p66 @p84 @p66) :args (@t34)) % 0.72/1.00 (step @p93 :rule trans :premises (@p92 @p76 @p65)) % 0.72/1.00 (step @p94 :rule cong :premises (@p66 @p93) :args (@t35)) % 0.72/1.00 (step @p95 :rule trans :premises (@p94 @p64)) % 0.72/1.00 (step @p96 :rule false_elim :premises (@p95)) % 0.72/1.00 (step-pop @p124 :rule scope :premises (@p96)) % 0.72/1.00 (step-pop @p125 :rule scope :premises (@p124)) % 0.72/1.00 (step-pop @p126 :rule scope :premises (@p125)) % 0.72/1.00 (step-pop @p127 :rule scope :premises (@p126)) % 0.72/1.00 (step-pop @p128 :rule scope :premises (@p127)) % 0.72/1.00 (step-pop @p129 :rule scope :premises (@p128)) % 0.72/1.00 (step-pop @p130 :rule scope :premises (@p129)) % 0.72/1.00 (step-pop @p131 :rule scope :premises (@p130)) % 0.72/1.00 (step-pop @p132 :rule scope :premises (@p131)) % 0.72/1.00 (step-pop @p133 :rule scope :premises (@p132)) % 0.72/1.00 (step @p97 :rule process_scope :premises (@p133) :args (@t36)) % 0.72/1.00 (step @p108 :rule implies_elim :premises (@p97)) % 0.72/1.00 (step @p109 :rule cnf_and_neg :args (@t58)) % 0.72/1.00 (step @p110 :rule resolution :premises (@p109 @p108) :args (true @t58)) % 0.72/1.00 (step @p111 :rule eq_resolve :premises (@p110 @p53)) % 0.72/1.00 (step @p112 :rule reordering :premises (@p111) :args ((or @t44 @t56 @t54 @t52 @t50 @t48 @t46 @t43 @t41 @t38 @t36))) % 0.72/1.00 (step @p113 false :rule chain_m_resolution :premises (@p112 @p41 @p37 @p36 @p32 @p28 @p27 @p26 @p25 @p24 @p23 @p22) :args (false (@list false false false false true false false false false false false) (@list @t35 @t37 @t40 @t42 @t44 @t45 @t47 @t49 @t51 @t53 @t55))) % 0.72/1.00 ) % 0.72/1.00 % SZS output end Proof % 0.72/1.01 % cvc5 exiting %------------------------------------------------------------------------------