↑ Up

cvc5---1.3.4.UNS-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP709-1 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 08:21:21 AM UTC 2026

% Result   : Unsatisfiable 24.72s 24.98s
% Output   : Proof 24.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GRP709-1 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.35  % Computer : n006.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Tue Jun  2 01:54:04 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.25/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.25/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.33/16.31  --- Run --no-e-matching --full-saturate-quant at 6...
% 22.11/22.34  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 24.72/24.98  % SZS status Unsatisfiable
% 24.72/24.98  % SZS output start Proof
% 24.72/24.98  (
% 24.72/24.98  (declare-sort $$unsorted 0)
% 24.72/24.98  (declare-const tptp.a $$unsorted)
% 24.72/24.98  (declare-const tptp.b $$unsorted)
% 24.72/24.98  (declare-const tptp.unit $$unsorted)
% 24.72/24.98  (declare-const tptp.op_c $$unsorted)
% 24.72/24.98  (declare-const tptp.rd (-> $$unsorted $$unsorted $$unsorted))
% 24.72/24.98  (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted))
% 24.72/24.98  (declare-const tptp.ld (-> $$unsorted $$unsorted $$unsorted))
% 24.72/24.98  (define @t1 () (@var "B" $$unsorted))
% 24.72/24.98  (define @t2 () (@var "A" $$unsorted))
% 24.72/24.98  (define @t3 () (@list @t2 @t1))
% 24.72/24.98  (define @t4 () (tptp.mult @t2 @t1))
% 24.72/24.98  (define @t5 () (tptp.mult @t2 tptp.unit))
% 24.72/24.98  (define @t6 () (@list @t2))
% 24.72/24.98  (define @t7 () (forall @t6 (= @t5 @t2)))
% 24.72/24.98  (define @t8 () (tptp.mult tptp.unit @t2))
% 24.72/24.98  (define @t9 () (forall @t6 (= @t8 @t2)))
% 24.72/24.98  (define @t10 () (@var "C" $$unsorted))
% 24.72/24.98  (define @t11 () (forall (@list @t2 @t1 @t10) (= (tptp.mult @t2 (tptp.mult @t1 (tptp.mult @t2 @t10))) (tptp.mult (tptp.mult @t2 (tptp.mult @t1 @t2)) @t10))))
% 24.72/24.98  (define @t12 () (tptp.mult tptp.op_c tptp.op_c))
% 24.72/24.98  (define @t13 () (tptp.mult tptp.a tptp.b))
% 24.72/24.98  (define @t14 () (tptp.mult tptp.op_c (tptp.mult tptp.unit tptp.op_c)))
% 24.72/24.98  (define @t15 () (@list tptp.a))
% 24.72/24.98  (define @t16 () (tptp.mult tptp.a tptp.op_c))
% 24.72/24.98  (define @t17 () (tptp.mult tptp.op_c @t16))
% 24.72/24.98  (define @t18 () (tptp.mult @t17 tptp.b))
% 24.72/24.98  (define @t19 () (@list @t13))
% 24.72/24.98  (define @t20 () (tptp.mult @t13 tptp.op_c))
% 24.72/24.98  (define @t21 () (tptp.mult tptp.a (tptp.mult tptp.op_c tptp.b)))
% 24.72/24.98  (define @t22 () (tptp.mult tptp.op_c @t21))
% 24.72/24.98  (define @t23 () (= @t22 @t18))
% 24.72/24.98  (assume @p1 (forall @t3 (= (tptp.mult @t2 (tptp.ld @t2 @t1)) @t1)))
% 24.72/24.98  (assume @p2 (forall @t3 (= (tptp.ld @t2 @t4) @t1)))
% 24.72/24.98  (assume @p3 (forall @t3 (= (tptp.mult (tptp.rd @t2 @t1) @t1) @t2)))
% 24.72/24.98  (assume @p4 (forall @t3 (= (tptp.rd @t4 @t1) @t2)))
% 24.72/24.98  (assume @p5 @t7)
% 24.72/24.98  (assume @p6 @t9)
% 24.72/24.98  (assume @p7 @t11)
% 24.72/24.98  (assume @p8 (forall @t6 (= (tptp.mult tptp.op_c @t2) (tptp.mult @t2 tptp.op_c))))
% 24.72/24.98  (assume @p9 (forall @t3 (= (tptp.mult @t2 (tptp.mult @t1 tptp.op_c)) (tptp.mult @t4 tptp.op_c))))
% 24.72/24.98  (assume @p10 (not (= (tptp.mult @t12 @t13) (tptp.mult (tptp.mult @t12 tptp.a) tptp.b))))
% 24.72/24.98  (step @p11 :rule false_intro :premises (@p10))
% 24.72/24.98  (step @p12 :rule refl :args (tptp.b))
% 24.72/24.99  (step @p13 :rule refl :args (tptp.a))
% 24.72/24.99  (step @p14 :rule eq-symm :args (@t5 @t2))
% 24.72/24.99  (step @p15 :rule cong :premises (@p14) :args (@t7))
% 24.72/24.99  (step @p16 :rule eq_resolve :premises (@p5 @p15))
% 24.72/24.99  (step @p17 :rule instantiate :premises (@p16) :args ((@list tptp.op_c)))
% 24.72/24.99  (step @p18 :rule symm :premises (@p17))
% 24.72/24.99  (step @p19 :rule instantiate :premises (@p8) :args ((@list tptp.unit)))
% 24.72/24.99  (step @p20 :rule symm :premises (@p19))
% 24.72/24.99  (step @p21 :rule trans :premises (@p20 @p18))
% 24.72/24.99  (step @p22 :rule refl :args (tptp.op_c))
% 24.72/24.99  (step @p23 :rule cong :premises (@p22 @p21) :args (@t14))
% 24.72/24.99  (step @p24 :rule cong :premises (@p23 @p13) :args ((tptp.mult @t14 tptp.a)))
% 24.72/24.99  (step @p25 :rule instantiate :premises (@p7) :args ((@list tptp.op_c tptp.unit tptp.a)))
% 24.72/24.99  (step @p26 :rule instantiate :premises (@p8) :args (@t15))
% 24.72/24.99  (step @p27 :rule symm :premises (@p26))
% 24.72/24.99  (step @p28 :rule refl :args (tptp.unit))
% 24.72/24.99  (step @p29 :rule cong :premises (@p28 @p27) :args ((tptp.mult tptp.unit @t16)))
% 24.72/24.99  (step @p30 :rule instantiate :premises (@p9) :args ((@list tptp.unit tptp.a)))
% 24.72/24.99  (step @p31 :rule symm :premises (@p30))
% 24.72/24.99  (step @p32 :rule eq-symm :args (@t8 @t2))
% 24.72/24.99  (step @p33 :rule cong :premises (@p32) :args (@t9))
% 24.72/24.99  (step @p34 :rule eq_resolve :premises (@p6 @p33))
% 24.72/24.99  (step @p35 :rule instantiate :premises (@p34) :args (@t15))
% 24.72/24.99  (step @p36 :rule cong :premises (@p35 @p22) :args (@t16))
% 24.72/24.99  (step @p37 :rule trans :premises (@p36 @p31 @p29))
% 24.72/24.99  (step @p38 :rule cong :premises (@p22 @p37) :args (@t17))
% 24.72/24.99  (step @p39 :rule trans :premises (@p38 @p25 @p24))
% 24.72/24.99  (step @p40 :rule cong :premises (@p39 @p12) :args (@t18))
% 24.72/24.99  (step @p41 :rule refl :args (@t13))
% 24.72/24.99  (step @p42 :rule cong :premises (@p23 @p41) :args ((tptp.mult @t14 @t13)))
% 24.72/24.99  (step @p43 :rule instantiate :premises (@p7) :args ((@list tptp.op_c tptp.unit @t13)))
% 24.72/24.99  (step @p44 :rule instantiate :premises (@p8) :args (@t19))
% 24.72/24.99  (step @p45 :rule symm :premises (@p44))
% 24.72/24.99  (step @p46 :rule cong :premises (@p28 @p45) :args ((tptp.mult tptp.unit @t20)))
% 24.72/24.99  (step @p47 :rule instantiate :premises (@p9) :args ((@list tptp.unit @t13)))
% 24.72/24.99  (step @p48 :rule symm :premises (@p47))
% 24.72/24.99  (step @p49 :rule instantiate :premises (@p34) :args (@t19))
% 24.72/24.99  (step @p50 :rule cong :premises (@p49 @p22) :args (@t20))
% 24.72/24.99  (step @p51 :rule trans :premises (@p50 @p48 @p46))
% 24.72/24.99  (step @p52 :rule cong :premises (@p22 @p51) :args ((tptp.mult tptp.op_c @t20)))
% 24.72/24.99  (step @p53 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.b)))
% 24.72/24.99  (step @p54 :rule instantiate :premises (@p8) :args ((@list tptp.b)))
% 24.72/24.99  (step @p55 :rule cong :premises (@p13 @p54) :args (@t21))
% 24.72/24.99  (step @p56 :rule trans :premises (@p55 @p53))
% 24.72/24.99  (step @p57 :rule cong :premises (@p22 @p56) :args (@t22))
% 24.72/24.99  (step @p58 :rule trans :premises (@p57 @p52 @p43 @p42))
% 24.72/24.99  (step @p59 :rule cong :premises (@p58 @p40) :args (@t23))
% 24.72/24.99  (step @p60 :rule trans :premises (@p59 @p11))
% 24.72/24.99  (step @p61 :rule false_elim :premises (@p60))
% 24.72/24.99  (assume-push @p68 @t11)
% 24.72/24.99  (step @p63 :rule instantiate :premises (@p7) :args ((@list tptp.op_c tptp.a tptp.b)))
% 24.72/24.99  (step-pop @p69 :rule scope :premises (@p63))
% 24.72/24.99  (step @p64 :rule process_scope :premises (@p69) :args (@t23))
% 24.72/24.99  (step @p66 :rule implies_elim :premises (@p64))
% 24.72/24.99  (step @p67 false :rule chain_m_resolution :premises (@p66 @p61 @p7) :args (false (@list true false) (@list @t23 @t11)))
% 24.72/24.99  )
% 24.72/24.99  % SZS output end Proof
% 24.72/24.99  % cvc5 exiting
%------------------------------------------------------------------------------