%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ012_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:43:56 AM UTC 2026 % Result : Theorem 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ012_1 : TPTP v9.2.1. Released v5.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.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 13:13:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort tptp.box 0) % 0.39/0.57 (declare-sort tptp.fruit 0) % 0.39/0.57 (declare-const tptp.apples tptp.fruit) % 0.39/0.57 (declare-const tptp.bananas tptp.fruit) % 0.39/0.57 (declare-const tptp.oranges tptp.fruit) % 0.39/0.57 (declare-const tptp.boxa tptp.box) % 0.39/0.57 (declare-const tptp.boxb tptp.box) % 0.39/0.57 (declare-const tptp.boxc tptp.box) % 0.39/0.57 (declare-const tptp.label (-> tptp.box tptp.fruit Bool)) % 0.39/0.57 (declare-const tptp.contains (-> tptp.box tptp.fruit Bool)) % 0.39/0.57 (declare-const tptp.equal_boxes (-> tptp.box tptp.box Bool)) % 0.39/0.57 (declare-const tptp.equal_fruits (-> tptp.fruit tptp.fruit Bool)) % 0.39/0.57 (define @t1 () (@var "X" tptp.fruit)) % 0.39/0.57 (define @t2 () (@list @t1)) % 0.39/0.57 (define @t3 () (@var "X" tptp.box)) % 0.39/0.57 (define @t4 () (@list @t3)) % 0.39/0.57 (define @t5 () (@var "Y" tptp.fruit)) % 0.39/0.57 (define @t6 () (tptp.contains @t3 @t5)) % 0.39/0.57 (define @t7 () (tptp.label @t3 @t5)) % 0.39/0.57 (define @t8 () (forall (@list @t3 @t5) (not (and @t7 @t6)))) % 0.39/0.57 (define @t9 () (@var "Z" tptp.fruit)) % 0.39/0.57 (define @t10 () (tptp.equal_fruits @t5 @t9)) % 0.39/0.57 (define @t11 () (tptp.contains @t3 @t9)) % 0.39/0.57 (define @t12 () (and @t6 @t11)) % 0.39/0.57 (define @t13 () (forall (@list @t3 @t5 @t9) (=> @t12 @t10))) % 0.39/0.57 (define @t14 () (@var "Z" tptp.box)) % 0.39/0.57 (define @t15 () (tptp.equal_boxes @t3 @t14)) % 0.39/0.57 (define @t16 () (tptp.contains @t14 @t5)) % 0.39/0.57 (define @t17 () (and @t6 @t16)) % 0.39/0.57 (define @t18 () (@list @t3 @t5 @t14)) % 0.39/0.57 (define @t19 () (forall @t18 (=> @t17 @t15))) % 0.39/0.57 (define @t20 () (tptp.equal_boxes tptp.boxb tptp.boxc)) % 0.39/0.57 (define @t21 () (tptp.equal_fruits tptp.apples tptp.bananas)) % 0.39/0.57 (define @t22 () (tptp.label tptp.boxc tptp.bananas)) % 0.39/0.57 (define @t23 () (tptp.contains tptp.boxb tptp.apples)) % 0.39/0.57 (define @t24 () (tptp.contains tptp.boxc tptp.oranges)) % 0.39/0.57 (define @t25 () (tptp.contains tptp.boxa tptp.bananas)) % 0.39/0.57 (define @t26 () (not @t16)) % 0.39/0.57 (define @t27 () (not @t6)) % 0.39/0.57 (define @t28 () (or @t27 @t26 @t15)) % 0.39/0.57 (define @t29 () (tptp.contains tptp.boxc tptp.bananas)) % 0.39/0.57 (define @t30 () (not @t29)) % 0.39/0.57 (define @t31 () (not @t22)) % 0.39/0.57 (define @t32 () (or @t31 @t30)) % 0.39/0.57 (define @t33 () (not @t11)) % 0.39/0.57 (define @t34 () (tptp.contains tptp.boxb tptp.bananas)) % 0.39/0.57 (define @t35 () (not @t34)) % 0.39/0.57 (define @t36 () (not @t23)) % 0.39/0.57 (define @t37 () (or @t36 @t35 @t21)) % 0.39/0.57 (define @t38 () (@list true false false)) % 0.39/0.57 (define @t39 () (or @t25 @t34 @t29)) % 0.39/0.57 (define @t40 () (@list true true false)) % 0.39/0.57 (define @t41 () (tptp.contains tptp.boxc tptp.apples)) % 0.39/0.57 (define @t42 () (or @t41 @t29 @t24)) % 0.39/0.57 (define @t43 () (not @t41)) % 0.39/0.57 (define @t44 () (or @t36 @t43 @t20)) % 0.39/0.57 (define @t45 () (not @t44)) % 0.39/0.57 (define @t46 () (forall @t18 @t28)) % 0.39/0.57 (assume @p1 (forall @t2 (tptp.equal_fruits @t1 @t1))) % 0.39/0.57 (assume @p2 (forall @t4 (tptp.equal_boxes @t3 @t3))) % 0.39/0.57 (assume @p3 @t8) % 0.39/0.57 (assume @p4 (forall @t2 (or (tptp.contains tptp.boxa @t1) (tptp.contains tptp.boxb @t1) (tptp.contains tptp.boxc @t1)))) % 0.39/0.57 (assume @p5 (forall @t4 (or (tptp.contains @t3 tptp.apples) (tptp.contains @t3 tptp.bananas) (tptp.contains @t3 tptp.oranges)))) % 0.39/0.57 (assume @p6 @t13) % 0.39/0.57 (assume @p7 @t19) % 0.39/0.57 (assume @p8 (not (tptp.equal_boxes tptp.boxa tptp.boxb))) % 0.39/0.57 (assume @p9 (not @t20)) % 0.39/0.57 (assume @p10 (not (tptp.equal_boxes tptp.boxa tptp.boxc))) % 0.39/0.57 (assume @p11 (not @t21)) % 0.39/0.57 (assume @p12 (not (tptp.equal_fruits tptp.bananas tptp.oranges))) % 0.39/0.57 (assume @p13 (not (tptp.equal_fruits tptp.apples tptp.oranges))) % 0.39/0.57 (assume @p14 (tptp.label tptp.boxa tptp.apples)) % 0.39/0.57 (assume @p15 (tptp.label tptp.boxb tptp.oranges)) % 0.39/0.57 (assume @p16 @t22) % 0.39/0.57 (assume @p17 @t23) % 0.39/0.57 (assume @p18 (not (and @t25 @t24))) % 0.39/0.57 (assume @p19 true) % 0.39/0.57 (step @p20 :rule aci_norm :args ((= (or (or @t27 @t26) @t15) @t28))) % 0.39/0.57 (step @p21 :rule refl :args (@t15)) % 0.39/0.57 (step @p22 :rule bool-and-de-morgan :args (@t6 @t16 true)) % 0.39/0.57 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or (not @t17) @t15))) % 0.39/0.57 (step @p24 :rule trans :premises (@p23 @p20)) % 0.39/0.57 (step @p25 :rule bool-impl-elim :args (@t17 @t15)) % 0.39/0.57 (step @p26 :rule trans :premises (@p25 @p24)) % 0.39/0.57 (step @p27 :rule cong :premises (@p26) :args (@t19)) % 0.39/0.57 (step @p28 :rule eq_resolve :premises (@p7 @p27)) % 0.39/0.57 (step @p29 :rule instantiate :premises (@p5) :args ((@list tptp.boxc))) % 0.39/0.57 (step @p30 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.39/0.57 (step @p31 :rule cong :premises (@p30) :args (@t8)) % 0.39/0.57 (step @p32 :rule eq_resolve :premises (@p3 @p31)) % 0.39/0.57 (step @p33 :rule instantiate :premises (@p32) :args ((@list tptp.boxc tptp.bananas))) % 0.39/0.57 (step @p34 :rule cnf_or_pos :args (@t32)) % 0.39/0.57 (step @p35 :rule reordering :premises (@p34) :args ((or @t31 @t30 (not @t32)))) % 0.39/0.57 (step @p36 :rule chain_m_resolution :premises (@p35 @p16 @p33) :args (@t30 (@list false false) (@list @t22 @t32))) % 0.39/0.57 (step @p37 :rule instantiate :premises (@p4) :args ((@list tptp.bananas))) % 0.39/0.57 (step @p38 :rule aci_norm :args ((= (or (or @t27 @t33) @t10) (or @t27 @t33 @t10)))) % 0.39/0.57 (step @p39 :rule refl :args (@t10)) % 0.39/0.57 (step @p40 :rule bool-and-de-morgan :args (@t6 @t11 true)) % 0.39/0.57 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t12) @t10))) % 0.39/0.57 (step @p42 :rule trans :premises (@p41 @p38)) % 0.39/0.57 (step @p43 :rule bool-impl-elim :args (@t12 @t10)) % 0.39/0.57 (step @p44 :rule trans :premises (@p43 @p42)) % 0.39/0.57 (step @p45 :rule cong :premises (@p44) :args (@t13)) % 0.39/0.57 (step @p46 :rule eq_resolve :premises (@p6 @p45)) % 0.39/0.57 (step @p47 :rule instantiate :premises (@p46) :args ((@list tptp.boxb tptp.apples tptp.bananas))) % 0.39/0.57 (step @p48 :rule cnf_or_pos :args (@t37)) % 0.39/0.57 (step @p49 :rule reordering :premises (@p48) :args ((or @t21 @t36 @t35 (not @t37)))) % 0.39/0.57 (step @p50 :rule chain_m_resolution :premises (@p49 @p11 @p17 @p47) :args (@t35 @t38 (@list @t21 @t23 @t37))) % 0.39/0.57 (step @p51 :rule cnf_or_pos :args (@t39)) % 0.39/0.57 (step @p52 :rule reordering :premises (@p51) :args ((or @t25 @t29 @t34 (not @t39)))) % 0.39/0.57 (step @p53 :rule chain_m_resolution :premises (@p52 @p36 @p50 @p37) :args (@t25 @t40 (@list @t29 @t34 @t39))) % 0.39/0.57 (step @p54 :rule not_and :premises (@p18)) % 0.39/0.57 (step @p55 :rule chain_m_resolution :premises (@p54 @p53) :args ((not @t24) (@list false) (@list @t25))) % 0.39/0.57 (step @p56 :rule cnf_or_pos :args (@t42)) % 0.39/0.57 (step @p57 :rule reordering :premises (@p56) :args ((or @t24 @t29 @t41 (not @t42)))) % 0.39/0.57 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p36 @p29) :args (@t41 @t40 (@list @t24 @t29 @t42))) % 0.39/0.57 (step @p59 :rule cnf_or_pos :args (@t44)) % 0.39/0.57 (step @p60 :rule reordering :premises (@p59) :args ((or @t20 @t36 @t43 @t45))) % 0.39/0.57 (step @p61 :rule chain_m_resolution :premises (@p60 @p9 @p17 @p58) :args (@t45 @t38 (@list @t20 @t23 @t41))) % 0.39/0.57 (assume-push @p68 @t46) % 0.39/0.57 (step @p63 :rule instantiate :premises (@p28) :args ((@list tptp.boxb tptp.apples tptp.boxc))) % 0.39/0.57 (step-pop @p69 :rule scope :premises (@p63)) % 0.39/0.57 (step @p64 :rule process_scope :premises (@p69) :args (@t44)) % 0.39/0.57 (step @p66 :rule implies_elim :premises (@p64)) % 0.39/0.57 (step @p67 false :rule chain_m_resolution :premises (@p66 @p61 @p28) :args (false (@list true false) (@list @t44 @t46))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------