0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : do_cvc5 %s %d THM 0.09/0.30 % Computer : n007.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 1440 0.09/0.30 % WCLimit : 180 0.09/0.30 % DateTime : Thu Jul 4 05:42:08 EDT 2024 0.09/0.30 % CPUTime : 0.16/0.43 %----Proving TF0_ARI 10.34/10.79 --- Run --finite-model-find --decision=internal at 15... 10.34/10.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --enum-inst at 10... 10.34/10.79 --- Run --no-e-matching --enum-inst at 10... 10.34/10.79 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.cGwHbf40aG/cvc5---1.0.5_4620.smt2 10.34/10.79 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.cGwHbf40aG/cvc5---1.0.5_4620.smt2 10.34/10.79 (declare-fun tptp.f (Real) Real) 10.34/10.79 (declare-fun tptp.a () Real) 10.34/10.79 (declare-fun tptp.b () Real) 10.34/10.79 (define @v.0.X () (alf.var "X" Real)) 10.34/10.79 (define @v.0.Y () (alf.var "Y" Real)) 10.34/10.79 (define @t1 () (tptp.f (+ tptp.a tptp.b))) 10.34/10.79 (define @t2 () (> @t1 4.0)) 10.34/10.79 (define @t3 () (not @t2)) 10.34/10.79 (define @t4 () (tptp.f tptp.a)) 10.34/10.79 (define @t5 () (> @t4 2.0)) 10.34/10.79 (define @t6 () (tptp.f tptp.b)) 10.34/10.79 (define @t7 () (> @t6 2.0)) 10.34/10.79 (define @t8 () (tptp.f @v.0.Y)) 10.34/10.79 (define @t9 () (tptp.f @v.0.X)) 10.34/10.79 (define @t10 () (tptp.f (+ @v.0.X @v.0.Y))) 10.34/10.79 (define @t11 () (@list @v.0.X @v.0.Y)) 10.34/10.79 (define @t12 () (forall @t11 (= @t10 (* @t9 @t8)))) 10.34/10.79 (define @t13 () (>= (* -1 @t1) -4)) 10.34/10.79 (define @t14 () (* -1 @t4)) 10.34/10.79 (define @t15 () (>= @t14 -2)) 10.34/10.79 (define @t16 () (not @t15)) 10.34/10.79 (define @t17 () (>= @t14 0)) 10.34/10.79 (define @t18 () (not @t17)) 10.34/10.79 (define @t19 () (<= @t4 0.0)) 10.34/10.79 (define @t20 () (> @t4 0.0)) 10.34/10.79 (define @t21 () (and @t17 @t16)) 10.34/10.79 (define @t22 () (>= (* -1 @t6) -2)) 10.34/10.79 (define @t23 () (not @t22)) 10.34/10.79 (define @t24 () (and @t18 @t23)) 10.34/10.79 (define @t25 () (* @t4 @t6)) 10.34/10.79 (define @t26 () (+ @t4 (* -1/2 @t25))) 10.34/10.79 (define @t27 () (>= @t26 0)) 10.34/10.79 (define @t28 () (not @t27)) 10.34/10.79 (define @t29 () (=> (and @t20 @t23) (> (* @t4 @t6) (* @t4 2)))) 10.34/10.79 (define @t30 () (= @t1 @t25)) 10.34/10.79 (define @t31 () (<= @t1 4.0)) 10.34/10.79 (define @t32 () (+ @t1 (* -1 @t25))) 10.34/10.79 (define @t33 () (and @t28 @t16 @t30 @t13)) 10.34/10.79 (assume @p1 @t3) 10.34/10.79 (assume @p2 @t5) 10.34/10.79 (assume @p3 @t7) 10.34/10.79 (assume @p4 @t12) 10.34/10.79 (assume @p5 true) 10.34/10.79 ; WARNING: add trust step for MACRO_SR_EQ_INTRO 10.34/10.79 ; trust MACRO_SR_EQ_INTRO 10.34/10.79 (step @p6 :rule trust :premises () :args ((= @t3 @t13))) 10.34/10.79 (step @p7 :rule eq_resolve :premises (@p1 @p6)) 10.34/10.79 ; trust MACRO_SR_EQ_INTRO 10.34/10.79 (step @p8 :rule trust :premises () :args ((= @t5 @t16))) 10.34/10.79 (step @p9 :rule eq_resolve :premises (@p2 @p8)) 10.34/10.79 ; trust MACRO_SR_EQ_INTRO 10.34/10.79 (step @p10 :rule trust :premises () :args ((= @t12 (forall @t11 (= @t10 (* @t9 @t8)))))) 10.34/10.79 (step @p11 :rule eq_resolve :premises (@p4 @p10)) 10.34/10.79 (step @p12 :rule instantiate :premises (@p11) :args ((@list tptp.a tptp.b))) 10.34/10.79 (step @p13 :rule refl :args (@t18)) 10.34/10.79 ; WARNING: add trust step for MACRO_SR_PRED_INTRO 10.34/10.79 ; trust MACRO_SR_PRED_INTRO 10.34/10.79 (step @p14 :rule trust :premises () :args ((= (not @t16) @t15))) 10.34/10.79 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (or)) 10.34/10.79 (assume-push @p16 @t17) 10.34/10.79 (assume-push @p17 @t16) 10.34/10.79 ; WARNING: add trust step for MACRO_SR_PRED_TRANSFORM 10.34/10.79 ; trust MACRO_SR_PRED_TRANSFORM 10.34/10.79 (step @p18 :rule trust :premises (@p16) :args (@t19)) 10.34/10.79 ; trust MACRO_SR_PRED_TRANSFORM 10.34/10.79 (step @p19 :rule trust :premises (@p18) :args ((not @t20))) 10.34/10.79 (assume-push @p20 @t19) 10.34/10.79 ; WARNING: add trust step for MACRO_ARITH_SCALE_SUM_UB 10.34/10.79 ; trust MACRO_ARITH_SCALE_SUM_UB 10.34/10.79 (step @p21 :rule trust :premises (@p20 @p2) :args ((< (+ @t4 (* -1.0 @t4)) (+ 0.0 (* -1.0 2.0))))) 10.34/10.79 ; trust MACRO_SR_PRED_TRANSFORM 10.34/10.79 (step @p22 false :rule trust :premises (@p21) :args (false)) 10.34/10.79 (step-pop @p98 :rule scope :premises (@p22)) 10.34/10.79 (step @p23 :rule process_scope :premises (@p98) :args (false)) 10.34/10.79 ; trust MACRO_SR_PRED_TRANSFORM 10.34/10.79 (step @p25 :rule trust :premises (@p23) :args (@t20)) 10.34/10.79 (step @p26 false :rule contra :premises (@p25 @p19)) 10.34/10.79 (step-pop @p99 :rule scope :premises (@p26)) 10.34/10.79 (step-pop @p100 :rule scope :premises (@p99)) 10.34/10.79 (step @p27 :rule process_scope :premises (@p100) :args (false)) 10.34/10.79 (assume-push @p30 @t16) 10.34/10.79 (assume-push @p31 @t17) 10.34/10.79 (step @p32 :rule and_intro :premises (@p16 @p9)) 10.34/10.79 (step-pop @p101 :rule scope :premises (@p32)) 10.34/10.79 (step-pop @p102 :rule scope :premises (@p101)) 10.34/10.79 (step @p33 :rule process_scope :premises (@p102) :args (@t21)) 10.34/10.79 (step @p36 :rule implies_elim :premises (@p33)) 10.34/10.79 (step @p37 :rule resolution :premises (@p36 @p27) :args (true @t21)) 10.34/10.79 (step @p38 :rule not_and :premises (@p37)) 10.34/10.79 (step @p39 :rule eq_resolve :premises (@p38 @p15)) 10.34/10.79 ; WARNING: add trust step for MACRO_RESOLUTION_TRUST 10.34/10.79 ; trust MACRO_RESOLUTION_TRUST 10.34/10.79 (step @p40 :rule trust :premises (@p39 @p9) :args (@t18)) 10.34/10.79 ; trust MACRO_SR_EQ_INTRO 10.34/10.79 (step @p41 :rule trust :premises () :args ((= @t7 @t23))) 10.34/10.79 (step @p42 :rule eq_resolve :premises (@p3 @p41)) 10.34/10.79 ; trust MACRO_SR_PRED_INTRO 10.34/10.79 (step @p43 :rule trust :premises () :args ((= (not @t23) @t22))) 10.34/10.79 ; trust MACRO_SR_PRED_INTRO 10.34/10.79 (step @p44 :rule trust :premises () :args ((= (not @t18) @t17))) 10.34/10.79 (step @p45 :rule refl :args (@t24)) 10.34/10.79 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43) :args (or)) 10.34/10.79 (step @p47 :rule cnf_and_neg :args (@t24)) 10.34/10.79 (step @p48 :rule eq_resolve :premises (@p47 @p46)) 10.34/10.79 (step @p49 :rule reordering :premises (@p48) :args ((or @t22 @t17 @t24))) 10.34/10.79 ; trust MACRO_RESOLUTION_TRUST 10.34/10.79 (step @p50 :rule trust :premises (@p49 @p42 @p40) :args (@t24)) 10.34/10.79 ; WARNING: add trust step for MACRO_REWRITE 10.34/10.79 ; trust MACRO_REWRITE 10.34/10.79 (step @p51 :rule trust :premises () :args ((= @t29 (=> @t24 @t28)))) 10.34/10.79 (step @p52 :rule arith_mult_pos :args (@t4 (> @t6 2))) 10.34/10.79 ; trust MACRO_SR_PRED_TRANSFORM 10.34/10.79 (step @p53 :rule trust :premises (@p52) :args (@t29)) 10.34/10.79 (step @p54 :rule eq_resolve :premises (@p53 @p51)) 10.34/10.79 (step @p55 :rule implies_elim :premises (@p54)) 10.34/10.79 (step @p56 :rule reordering :premises (@p55) :args ((or @t28 (not @t24)))) 10.34/10.79 ; trust MACRO_RESOLUTION_TRUST 10.34/10.79 (step @p57 :rule trust :premises (@p56 @p50) :args (@t28)) 10.34/10.79 ; trust MACRO_SR_PRED_INTRO 10.34/10.79 (step @p58 :rule trust :premises () :args ((= (not @t28) @t27))) 10.34/10.79 (step @p59 :rule refl :args ((not @t30))) 10.34/10.79 (step @p60 :rule refl :args ((not @t13))) 10.34/10.79 (step @p61 :rule nary_cong :premises (@p60 @p14 @p59 @p58) :args (or)) 10.34/10.79 (assume-push @p62 @t28) 10.34/10.79 (assume-push @p63 @t16) 10.34/10.79 (assume-push @p64 @t30) 10.34/10.79 (assume-push @p65 @t13) 10.34/10.79 (assume-push @p66 @t31) 10.34/10.79 ; trust MACRO_SR_PRED_TRANSFORM 10.34/10.79 (step @p67 :rule trust :premises (@p62) :args ((< @t26 0.0))) 10.34/10.79 ; trust MACRO_SR_PRED_TRANSFORM 10.34/10.79 (step @p68 :rule trust :premises (@p12) :args ((= @t32 0.0))) 10.34/10.79 (step @p69 :rule eq_resolve :premises (@p1 @p6)) 10.34/10.79 ; trust MACRO_SR_PRED_TRANSFORM 10.34/10.79 (step @p70 :rule trust :premises (@p69) :args (@t31)) 10.34/10.79 ; trust MACRO_ARITH_SCALE_SUM_UB 10.34/10.79 (step @p71 :rule trust :premises (@p70 @p68 @p2 @p67) :args ((< (+ @t1 (* -1.0 @t32) (* -2.0 @t4) (* 2.0 @t26)) (+ 4.0 (* -1.0 0.0) (* -2.0 2.0) (* 2.0 0.0))))) 10.34/10.79 ; trust MACRO_SR_PRED_TRANSFORM 10.34/10.79 (step @p72 false :rule trust :premises (@p71) :args (false)) 10.34/10.79 (step-pop @p103 :rule scope :premises (@p72)) 10.34/10.79 (step @p73 :rule process_scope :premises (@p103) :args (false)) 10.34/10.79 ; trust MACRO_SR_PRED_TRANSFORM 10.34/10.79 (step @p75 :rule trust :premises (@p73) :args (@t2)) 10.34/10.79 ; trust MACRO_SR_PRED_TRANSFORM 10.34/10.79 (step @p76 :rule trust :premises (@p75) :args ((not @t31))) 10.34/10.79 ; trust MACRO_SR_PRED_TRANSFORM 10.34/10.79 (step @p77 :rule trust :premises (@p7) :args (@t31)) 10.34/10.79 (step @p78 false :rule contra :premises (@p77 @p76)) 10.34/10.79 (step-pop @p104 :rule scope :premises (@p78)) 10.34/10.79 (step-pop @p105 :rule scope :premises (@p104)) 10.34/10.79 (step-pop @p106 :rule scope :premises (@p105)) 10.34/10.79 (step-pop @p107 :rule scope :premises (@p106)) 10.34/10.79 (step @p79 :rule process_scope :premises (@p107) :args (false)) 10.34/10.79 (assume-push @p84 @t13) 10.34/10.79 (assume-push @p85 @t16) 10.34/10.79 (assume-push @p86 @t30) 10.34/10.79 (assume-push @p87 @t28) 10.34/10.79 (step @p88 :rule and_intro :premises (@p62 @p9 @p12 @p7)) 10.34/10.79 (step-pop @p108 :rule scope :premises (@p88)) 10.34/10.79 (step-pop @p109 :rule scope :premises (@p108)) 10.34/10.79 (step-pop @p110 :rule scope :premises (@p109)) 10.34/10.79 (step-pop @p111 :rule scope :premises (@p110)) 10.34/10.79 (step @p89 :rule process_scope :premises (@p111) :args (@t33)) 10.34/10.79 (step @p94 :rule implies_elim :premises (@p89)) 10.34/10.79 (step @p95 :rule resolution :premises (@p94 @p79) :args (true @t33)) 10.34/10.79 (step @p96 :rule not_and :premises (@p95)) 10.34/10.79 (step @p97 :rule eq_resolve :premises (@p96 @p61)) 10.34/10.79 ; trust MACRO_RESOLUTION_TRUST 10.34/10.79 (step @p98 false :rule trust :premises (@p97 @p57 @p12 @p9 @p7) :args (false)) 10.34/10.79 10.34/10.79 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.cGwHbf40aG/cvc5---1.0.5_4620.smt2 10.34/10.79 % cvc5---1.0.5 exiting 10.34/10.79 % cvc5---1.0.5 exiting 10.34/10.79 EOF