0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : do_cvc5 %s %d THM 0.12/0.33 % Computer : n013.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 05:14:54 EDT 2024 0.12/0.33 % CPUTime : 0.19/0.49 %----Proving TF0_ARI 15.36/15.68 --- Run --finite-model-find --decision=internal at 15... 15.36/15.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --enum-inst at 10... 15.36/15.68 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.nWiPCYZYY7/cvc5---1.0.5_24236.smt2 15.36/15.68 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.nWiPCYZYY7/cvc5---1.0.5_24236.smt2 15.36/15.68 (declare-fun tptp.u () Real) 15.36/15.68 (declare-fun tptp.x () Real) 15.36/15.68 (declare-fun tptp.v () Real) 15.36/15.68 (declare-fun tptp.w () Real) 15.36/15.68 (declare-fun tptp.f (Real) Real) 15.36/15.68 (define @v.0.X () (alf.var "X" Real)) 15.36/15.68 (define @t1 () (tptp.f @v.0.X)) 15.36/15.68 (define @t2 () (@list @v.0.X)) 15.36/15.68 (define @t3 () (forall @t2 (<= @t1 2.0))) 15.36/15.68 (define @t4 () (tptp.f tptp.x)) 15.36/15.68 (define @t5 () (not (< (+ tptp.u (* tptp.w (+ (- 1.0) @t4))) (+ tptp.v tptp.w)))) 15.36/15.68 (define @t6 () (< tptp.u tptp.v)) 15.36/15.68 (define @t7 () (> tptp.w 0.0)) 15.36/15.68 (define @t8 () (* tptp.w @t4)) 15.36/15.68 (define @t9 () (* -1 tptp.v)) 15.36/15.68 (define @t10 () (+ tptp.u @t9 (* -2 tptp.w) @t8)) 15.36/15.68 (define @t11 () (>= @t10 0)) 15.36/15.68 (define @t12 () (+ tptp.u @t9)) 15.36/15.68 (define @t13 () (>= @t12 0)) 15.36/15.68 (define @t14 () (not @t13)) 15.36/15.68 (define @t15 () (>= (* -1 tptp.w) 0)) 15.36/15.68 (define @t16 () (not @t15)) 15.36/15.68 (define @t17 () (>= (* -1 @t4) -2)) 15.36/15.68 (define @t18 () (not @t17)) 15.36/15.68 (define @t19 () (and @t16 @t17)) 15.36/15.68 (define @t20 () (+ tptp.w (* -1/2 @t8))) 15.36/15.68 (define @t21 () (>= @t20 0)) 15.36/15.68 (define @t22 () (=> (and @t7 @t17) (<= (* tptp.w @t4) (* tptp.w 2)))) 15.36/15.68 (define @t23 () (>= @t20 0.0)) 15.36/15.68 (assume @p1 @t3) 15.36/15.68 (assume @p2 @t5) 15.36/15.68 (assume @p3 @t6) 15.36/15.68 (assume @p4 @t7) 15.36/15.68 (assume @p5 true) 15.36/15.68 ; WARNING: add trust step for MACRO_SR_EQ_INTRO 15.36/15.68 ; trust MACRO_SR_EQ_INTRO 15.36/15.68 (step @p6 :rule trust :premises () :args ((= @t5 @t11))) 15.36/15.68 (step @p7 :rule eq_resolve :premises (@p2 @p6)) 15.36/15.68 ; trust MACRO_SR_EQ_INTRO 15.36/15.68 (step @p8 :rule trust :premises () :args ((= @t6 @t14))) 15.36/15.68 (step @p9 :rule eq_resolve :premises (@p3 @p8)) 15.36/15.68 ; trust MACRO_SR_EQ_INTRO 15.36/15.68 (step @p10 :rule trust :premises () :args ((= @t3 (forall @t2 (>= (* -1 @t1) -2))))) 15.36/15.68 (step @p11 :rule eq_resolve :premises (@p1 @p10)) 15.36/15.68 (step @p12 :rule instantiate :premises (@p11) :args ((@list tptp.x))) 15.36/15.68 ; trust MACRO_SR_EQ_INTRO 15.36/15.68 (step @p13 :rule trust :premises () :args ((= @t7 @t16))) 15.36/15.68 (step @p14 :rule eq_resolve :premises (@p4 @p13)) 15.36/15.68 (step @p15 :rule refl :args (@t18)) 15.36/15.68 ; WARNING: add trust step for MACRO_SR_PRED_INTRO 15.36/15.68 ; trust MACRO_SR_PRED_INTRO 15.36/15.68 (step @p16 :rule trust :premises () :args ((= (not @t16) @t15))) 15.36/15.68 (step @p17 :rule refl :args (@t19)) 15.36/15.68 (step @p18 :rule nary_cong :premises (@p17 @p16 @p15) :args (or)) 15.36/15.68 (step @p19 :rule cnf_and_neg :args (@t19)) 15.36/15.68 (step @p20 :rule eq_resolve :premises (@p19 @p18)) 15.36/15.68 (step @p21 :rule reordering :premises (@p20) :args ((or @t15 @t18 @t19))) 15.36/15.68 ; WARNING: add trust step for MACRO_RESOLUTION_TRUST 15.36/15.68 ; trust MACRO_RESOLUTION_TRUST 15.36/15.68 (step @p22 :rule trust :premises (@p21 @p14 @p12) :args (@t19)) 15.36/15.68 ; WARNING: add trust step for MACRO_REWRITE 15.36/15.68 ; trust MACRO_REWRITE 15.36/15.68 (step @p23 :rule trust :premises () :args ((= @t22 (=> @t19 @t21)))) 15.36/15.68 (step @p24 :rule arith_mult_pos :args (tptp.w (<= @t4 2))) 15.36/15.68 ; WARNING: add trust step for MACRO_SR_PRED_TRANSFORM 15.36/15.68 ; trust MACRO_SR_PRED_TRANSFORM 15.36/15.68 (step @p25 :rule trust :premises (@p24) :args (@t22)) 15.36/15.68 (step @p26 :rule eq_resolve :premises (@p25 @p23)) 15.36/15.68 (step @p27 :rule implies_elim :premises (@p26)) 15.36/15.68 (step @p28 :rule reordering :premises (@p27) :args ((or @t21 (not @t19)))) 15.36/15.68 ; trust MACRO_RESOLUTION_TRUST 15.36/15.68 (step @p29 :rule trust :premises (@p28 @p22) :args (@t21)) 15.36/15.68 (step @p30 :rule refl :args ((not @t21))) 15.36/15.68 ; trust MACRO_SR_PRED_INTRO 15.36/15.68 (step @p31 :rule trust :premises () :args ((= (not @t14) @t13))) 15.36/15.68 (step @p32 :rule refl :args ((not @t11))) 15.36/15.68 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30) :args (or)) 15.36/15.68 (assume-push @p34 @t11) 15.36/15.68 (assume-push @p35 @t14) 15.36/15.68 (assume-push @p36 @t21) 15.36/15.68 (assume-push @p37 @t23) 15.36/15.68 ; trust MACRO_SR_PRED_TRANSFORM 15.36/15.68 (step @p38 :rule trust :premises (@p7) :args ((>= @t10 0.0))) 15.36/15.68 ; trust MACRO_SR_PRED_TRANSFORM 15.36/15.68 (step @p39 :rule trust :premises (@p9) :args ((< @t12 0.0))) 15.36/15.68 ; trust MACRO_RESOLUTION_TRUST 15.36/15.68 (step @p40 :rule trust :premises (@p28 @p22) :args (@t21)) 15.36/15.68 ; trust MACRO_SR_PRED_TRANSFORM 15.36/15.68 (step @p41 :rule trust :premises (@p40) :args (@t23)) 15.36/15.68 ; WARNING: add trust step for MACRO_ARITH_SCALE_SUM_UB 15.36/15.68 ; trust MACRO_ARITH_SCALE_SUM_UB 15.36/15.68 (step @p42 :rule trust :premises (@p41 @p39 @p38) :args ((< (+ (* -1.0 @t20) (* 1/2 @t12) (* -1/2 @t10)) (+ (* -1.0 0.0) (* 1/2 0.0) (* -1/2 0.0))))) 15.36/15.68 ; trust MACRO_SR_PRED_TRANSFORM 15.36/15.68 (step @p43 false :rule trust :premises (@p42) :args (false)) 15.36/15.68 (step-pop @p56 :rule scope :premises (@p43)) 15.36/15.68 (step @p44 :rule process_scope :premises (@p56) :args (false)) 15.36/15.68 ; trust MACRO_SR_PRED_TRANSFORM 15.36/15.68 (step @p46 :rule trust :premises (@p44) :args ((< @t20 0.0))) 15.36/15.68 ; trust MACRO_SR_PRED_TRANSFORM 15.36/15.68 (step @p47 :rule trust :premises (@p46) :args ((not @t23))) 15.36/15.68 ; trust MACRO_SR_PRED_TRANSFORM 15.36/15.68 (step @p48 :rule trust :premises (@p29) :args (@t23)) 15.36/15.68 (step @p49 false :rule contra :premises (@p48 @p47)) 15.36/15.68 (step-pop @p57 :rule scope :premises (@p49)) 15.36/15.68 (step-pop @p58 :rule scope :premises (@p57)) 15.36/15.68 (step-pop @p59 :rule scope :premises (@p58)) 15.36/15.68 (step @p50 :rule process_scope :premises (@p59) :args (false)) 15.36/15.68 (step @p54 :rule not_and :premises (@p50)) 15.36/15.68 (step @p55 :rule eq_resolve :premises (@p54 @p33)) 15.36/15.68 ; trust MACRO_RESOLUTION_TRUST 15.36/15.68 (step @p56 false :rule trust :premises (@p55 @p29 @p9 @p7) :args (false)) 15.36/15.68 15.36/15.68 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.nWiPCYZYY7/cvc5---1.0.5_24236.smt2 15.36/15.68 % cvc5---1.0.5 exiting 15.36/15.68 % cvc5---1.0.5 exiting 15.36/15.69 EOF