↑ Up

cvc5---1.3.4.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU161+3 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 08:50:47 AM UTC 2026

% Result   : Theorem 0.32s 0.56s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU161+3 : TPTP v9.2.1. Released v3.2.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n007.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Tue Jun  2 16:32:26 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.32/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.32/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.32/0.56  % SZS status Theorem
% 0.32/0.56  % SZS output start Proof
% 0.32/0.56  (
% 0.32/0.56  (declare-sort $$unsorted 0)
% 0.32/0.56  (declare-const tptp.singleton (-> $$unsorted $$unsorted))
% 0.32/0.56  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.32/0.56  (declare-const tptp.empty (-> $$unsorted Bool))
% 0.32/0.56  (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted))
% 0.32/0.56  (define @t1 () (@var "B" $$unsorted))
% 0.32/0.56  (define @t2 () (@var "A" $$unsorted))
% 0.32/0.56  (define @t3 () (tptp.set_union2 @t2 @t1))
% 0.32/0.56  (define @t4 () (tptp.empty @t2))
% 0.32/0.56  (define @t5 () (not @t4))
% 0.32/0.56  (define @t6 () (@list @t2 @t1))
% 0.32/0.56  (define @t7 () (tptp.set_union2 @t1 @t2))
% 0.32/0.56  (define @t8 () (tptp.in @t2 @t1))
% 0.32/0.56  (define @t9 () (@list @t2))
% 0.32/0.56  (define @t10 () (tptp.set_union2 (tptp.singleton @t2) @t1))
% 0.32/0.56  (define @t11 () (=> @t8 (= @t10 @t1)))
% 0.32/0.56  (define @t12 () (forall @t6 @t11))
% 0.32/0.56  (define @t13 () (not @t12))
% 0.32/0.56  (define @t14 () (= @t1 @t10))
% 0.32/0.56  (assume @p1 (forall @t6 (=> @t5 (not (tptp.empty @t3)))))
% 0.32/0.56  (assume @p2 (forall @t6 (=> @t5 (not (tptp.empty @t7)))))
% 0.32/0.56  (assume @p3 (forall @t6 (= @t3 @t7)))
% 0.32/0.56  (assume @p4 (forall @t6 (= (tptp.set_union2 @t2 @t2) @t2)))
% 0.32/0.56  (assume @p5 (forall @t6 (=> @t8 (not (tptp.in @t1 @t2)))))
% 0.32/0.56  (assume @p6 (exists @t9 @t4))
% 0.32/0.56  (assume @p7 (exists @t9 @t5))
% 0.32/0.56  (assume @p8 @t13)
% 0.32/0.56  (assume @p9 @t12)
% 0.32/0.56  (assume @p10 true)
% 0.32/0.56  (step @p11 :rule bool-impl-elim :args (@t8 @t14))
% 0.32/0.56  (step @p12 :rule cong :premises (@p11) :args ((forall @t6 (=> @t8 @t14))))
% 0.32/0.56  (step @p13 :rule eq-symm :args (@t10 @t1))
% 0.32/0.56  (step @p14 :rule refl :args (@t8))
% 0.32/0.56  (step @p15 :rule cong :premises (@p14 @p13) :args (@t11))
% 0.32/0.56  (step @p16 :rule cong :premises (@p15) :args (@t12))
% 0.32/0.56  (step @p17 :rule trans :premises (@p16 @p12))
% 0.32/0.56  (step @p18 :rule cong :premises (@p17) :args (@t13))
% 0.32/0.56  (step @p19 :rule eq_resolve :premises (@p8 @p18))
% 0.32/0.56  (step @p20 :rule eq_resolve :premises (@p9 @p17))
% 0.32/0.56  (step @p21 false :rule chain_m_resolution :premises (@p20 @p19) :args (false (@list true) (@list (forall @t6 (or (not @t8) @t14)))))
% 0.32/0.56  )
% 0.32/0.56  % SZS output end Proof
% 0.32/0.56  % cvc5 exiting
%------------------------------------------------------------------------------