%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MSC023_2 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:36:07 AM UTC 2026 % Result : Theorem 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : MSC023_2 : TPTP v9.2.1. Released v5.0.0. % 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 : n004.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 09:45:07 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_ARI % 0.39/0.60 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.39/0.60 % SZS status Theorem % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-const tptp.celsius_fahrenheit_temperature_conversion (-> Real Real Bool)) % 0.39/0.60 (define @t1 () (@var "F" Real)) % 0.39/0.60 (define @t2 () (@var "C" Real)) % 0.39/0.60 (define @t3 () (tptp.celsius_fahrenheit_temperature_conversion @t2 @t1)) % 0.39/0.60 (define @t4 () (/ 9 5)) % 0.39/0.60 (define @t5 () (* @t4 @t2)) % 0.39/0.60 (define @t6 () (+ @t5 32/1)) % 0.39/0.60 (define @t7 () (= @t6 @t1)) % 0.39/0.60 (define @t8 () (=> @t7 @t3)) % 0.39/0.60 (define @t9 () (@list @t2 @t1)) % 0.39/0.60 (define @t10 () (forall @t9 @t8)) % 0.39/0.60 (define @t11 () (tptp.celsius_fahrenheit_temperature_conversion @t2 451/1)) % 0.39/0.60 (define @t12 () (@list @t2)) % 0.39/0.60 (define @t13 () (exists @t12 @t11)) % 0.39/0.60 (define @t14 () (not @t13)) % 0.39/0.60 (define @t15 () (forall @t12 (not @t11))) % 0.39/0.60 (define @t16 () (+ -160/9 (* 5/9 @t1))) % 0.39/0.60 (define @t17 () (tptp.celsius_fahrenheit_temperature_conversion @t16 @t1)) % 0.39/0.60 (define @t18 () (not (= @t16 @t16))) % 0.39/0.60 (define @t19 () (or @t18 @t17)) % 0.39/0.60 (define @t20 () (@list @t1)) % 0.39/0.60 (define @t21 () (= @t2 @t16)) % 0.39/0.60 (define @t22 () (not @t21)) % 0.39/0.60 (define @t23 () (or @t22 @t22 @t3)) % 0.39/0.60 (define @t24 () (or @t22 @t3)) % 0.39/0.60 (define @t25 () (forall @t12 @t24)) % 0.39/0.60 (define @t26 () (forall @t20 @t25)) % 0.39/0.60 (define @t27 () (forall (@list @t1 @t2) @t24)) % 0.39/0.60 (define @t28 () (* 9/5 @t2)) % 0.39/0.60 (define @t29 () (+ 32/1 @t28)) % 0.39/0.60 (define @t30 () (* 5/9 451/1)) % 0.39/0.60 (define @t31 () (+ -160/9 @t30)) % 0.39/0.60 (define @t32 () (tptp.celsius_fahrenheit_temperature_conversion @t31 451/1)) % 0.39/0.60 (define @t33 () (forall @t20 @t17)) % 0.39/0.60 (define @t34 () (tptp.celsius_fahrenheit_temperature_conversion 2095/9 451/1)) % 0.39/0.60 (assume @p1 @t10) % 0.39/0.60 (assume @p2 @t14) % 0.39/0.60 (assume @p3 true) % 0.39/0.60 (step @p4 :rule bool-double-not-elim :args (@t15)) % 0.39/0.60 (step @p5 :rule exists-elim :args ((= @t13 (not @t15)))) % 0.39/0.60 (step @p6 :rule cong :premises (@p5) :args (@t14)) % 0.39/0.60 (step @p7 :rule trans :premises (@p6 @p4)) % 0.39/0.60 (step @p8 :rule eq_resolve :premises (@p2 @p7)) % 0.39/0.60 (step @p9 :rule aci_norm :args ((= (or false @t17) @t17))) % 0.39/0.60 (step @p10 :rule refl :args (@t17)) % 0.39/0.60 (step @p11 :rule evaluate :args ((not true))) % 0.39/0.60 (step @p12 :rule eq-refl :args (@t16)) % 0.39/0.60 (step @p13 :rule cong :premises (@p12) :args (@t18)) % 0.39/0.60 (step @p14 :rule trans :premises (@p13 @p11)) % 0.39/0.60 (step @p15 :rule nary_cong :premises (@p14 @p10) :args (@t19)) % 0.39/0.60 (step @p16 :rule trans :premises (@p15 @p9)) % 0.39/0.60 (step @p17 :rule cong :premises (@p16) :args ((forall @t20 @t19))) % 0.39/0.60 (step @p18 :rule quant-var-elim-eq :args ((= (forall @t12 @t23) @t19))) % 0.39/0.60 (step @p19 :rule aci_norm :args ((= @t24 @t23))) % 0.39/0.60 (step @p20 :rule cong :premises (@p19) :args (@t25)) % 0.39/0.60 (step @p21 :rule trans :premises (@p20 @p18)) % 0.39/0.60 (step @p22 :rule cong :premises (@p21) :args (@t26)) % 0.39/0.60 (step @p23 :rule quant-merge-prenex :args ((= @t26 @t27))) % 0.39/0.60 (step @p24 :rule symm :premises (@p23)) % 0.39/0.60 (step @p25 :rule quant_var_reordering :args ((= (forall @t9 @t24) @t27))) % 0.39/0.60 (step @p26 :rule trans :premises (@p25 @p24 @p22)) % 0.39/0.60 (step @p27 :rule trans :premises (@p26 @p17)) % 0.39/0.60 (step @p28 :rule bool-impl-elim :args (@t21 @t3)) % 0.39/0.60 (step @p29 :rule cong :premises (@p28) :args ((forall @t9 (=> @t21 @t3)))) % 0.39/0.60 (step @p30 :rule trans :premises (@p29 @p27)) % 0.39/0.60 (step @p31 :rule refl :args (@t3)) % 0.39/0.60 (step @p32 :rule arith_poly_norm :args ((= (* 160/9 (- @t29 @t1)) (* 32/1 (- @t2 @t16))))) % 0.39/0.60 (step @p33 :rule arith_poly_norm_rel :premises (@p32) :args ((= (= @t29 @t1) @t21))) % 0.39/0.60 (step @p34 :rule refl :args (@t1)) % 0.39/0.60 (step @p35 :rule arith_poly_norm :args ((= (+ @t28 32/1) @t29))) % 0.39/0.60 (step @p36 :rule refl :args (32/1)) % 0.39/0.60 (step @p37 :rule refl :args (@t2)) % 0.39/0.60 (step @p38 :rule evaluate :args (@t4)) % 0.39/0.60 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t5)) % 0.39/0.60 (step @p40 :rule nary_cong :premises (@p39 @p36) :args (@t6)) % 0.39/0.60 (step @p41 :rule trans :premises (@p40 @p35)) % 0.39/0.60 (step @p42 :rule cong :premises (@p41 @p34) :args (@t7)) % 0.39/0.60 (step @p43 :rule trans :premises (@p42 @p33)) % 0.39/0.60 (step @p44 :rule cong :premises (@p43 @p31) :args (@t8)) % 0.39/0.60 (step @p45 :rule cong :premises (@p44) :args (@t10)) % 0.39/0.60 (step @p46 :rule trans :premises (@p45 @p30)) % 0.39/0.60 (step @p47 :rule eq_resolve :premises (@p1 @p46)) % 0.39/0.60 (step @p48 :rule refl :args (451/1)) % 0.39/0.60 (step @p49 :rule evaluate :args ((+ -160/9 2255/9))) % 0.39/0.60 (step @p50 :rule evaluate :args (@t30)) % 0.39/0.60 (step @p51 :rule refl :args (-160/9)) % 0.39/0.60 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t31)) % 0.39/0.60 (step @p53 :rule trans :premises (@p52 @p49)) % 0.39/0.60 (step @p54 :rule cong :premises (@p53 @p48) :args (@t32)) % 0.39/0.60 (step @p55 :rule refl :args (@t33)) % 0.39/0.60 (step @p56 :rule cong :premises (@p55 @p54) :args ((=> @t33 @t32))) % 0.39/0.60 (assume-push @p70 @t33) % 0.39/0.60 (step @p58 :rule instantiate :premises (@p47) :args ((@list 451/1))) % 0.39/0.60 (step-pop @p71 :rule scope :premises (@p58)) % 0.39/0.60 (step @p59 :rule process_scope :premises (@p71) :args (@t32)) % 0.39/0.60 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 0.39/0.60 (step @p62 :rule implies_elim :premises (@p61)) % 0.39/0.60 (step @p63 :rule chain_m_resolution :premises (@p62 @p47) :args (@t34 (@list false) (@list @t33))) % 0.39/0.60 (assume-push @p72 @t15) % 0.39/0.60 (step @p65 :rule instantiate :premises (@p8) :args ((@list 2095/9))) % 0.39/0.60 (step-pop @p73 :rule scope :premises (@p65)) % 0.39/0.60 (step @p66 :rule process_scope :premises (@p73) :args ((not @t34))) % 0.39/0.60 (step @p68 :rule implies_elim :premises (@p66)) % 0.39/0.60 (step @p69 false :rule chain_m_resolution :premises (@p68 @p63 @p8) :args (false (@list false false) (@list @t34 @t15))) % 0.39/0.60 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------